paper_id
uint32 0
3.26k
| title
stringlengths 15
150
| paper_url
stringlengths 42
42
| authors
listlengths 1
21
| type
stringclasses 3
values | abstract
stringlengths 393
2.58k
| keywords
stringlengths 5
409
| TL;DR
stringlengths 7
250
⌀ | submission_number
int64 1
16.4k
| arxiv_id
stringlengths 10
10
⌀ | embedding
listlengths 768
768
| github
stringlengths 26
123
⌀ |
---|---|---|---|---|---|---|---|---|---|---|---|
500 |
Multiple-policy Evaluation via Density Estimation
|
https://openreview.net/forum?id=8nelB0aMry
|
[
"Yilei Chen",
"Aldo Pacchiano",
"Ioannis Paschalidis"
] |
Poster
|
We study the multiple-policy evaluation problem where we are given a set of $K$ policies and the goal is to evaluate their performance (expected total reward over a fixed horizon) to an accuracy $\epsilon$ with probability at least $1-\delta$. We propose an algorithm named CAESAR for this problem. Our approach is based on computing an approximately optimal sampling distribution and using the data sampled from it to perform the simultaneous estimation of the policy values. CAESAR has two phases. In the first phase, we produce coarse estimates of the visitation distributions of the target policies at a low order sample complexity rate that scales with $\tilde{O}(\frac{1}{\epsilon})$. In the second phase, we approximate the optimal sampling distribution and compute the importance weighting ratios for all target policies by minimizing a step-wise quadratic loss function inspired by the DualDICE objective. Up to low order and logarithmic terms CAESAR achieves a sample complexity $\tilde{O}\left(\frac{H^4}{\epsilon^2}\sum_{h=1}^H\max_{k\in[K]}\sum_{s,a}\frac{(d_h^{\pi^k}(s,a))^2}{\mu^*_h(s,a)}\right)$, where $d^{\pi}$ is the visitation distribution of policy $\pi$, $\mu^*$ is the optimal sampling distribution, and $H$ is the horizon.
|
Theoretical Reinforcement Learning; Policy Evaluation; Instance dependent results;
| null | 13,391 |
2404.00195
|
[
-0.03743888810276985,
-0.00742825772613287,
-0.004481140989810228,
0.05296080932021141,
0.038381773978471756,
0.0603727363049984,
-0.009334001690149307,
-0.0096786143258214,
-0.022915437817573547,
-0.05780115723609924,
0.010754820890724659,
0.012278048321604729,
-0.06856653094291687,
-0.01639656163752079,
0.04270908981561661,
0.058484647423028946,
0.007644845172762871,
-0.020252883434295654,
0.0010132192401215434,
0.0034191354643553495,
-0.019842134788632393,
0.01858285255730152,
0.03586446866393089,
0.014341626316308975,
0.03405153378844261,
-0.007371461484581232,
0.03279098868370056,
0.025518015027046204,
-0.025080779567360878,
-0.021350160241127014,
0.010084209963679314,
0.0205033328384161,
-0.008417663164436817,
-0.01866496354341507,
-0.007373927626758814,
-0.010096849873661995,
-0.0023535415530204773,
0.01690400391817093,
0.02726254239678383,
0.03264462575316429,
-0.04915149137377739,
-0.0017353515140712261,
-0.007637488190084696,
0.011934812180697918,
-0.05566757544875145,
0.0018834301736205816,
-0.0723443478345871,
0.018200891092419624,
0.02559487149119377,
-0.025220820680260658,
-0.08181830495595932,
0.029325613752007484,
-0.003147978102788329,
-0.0054196761921048164,
-0.012102673761546612,
0.046592697501182556,
0.016144748777151108,
-0.09264528751373291,
-0.019815851002931595,
-0.05645795166492462,
-0.010893694125115871,
0.010137255303561687,
0.028214532881975174,
0.014283573254942894,
-0.005919132847338915,
-0.013318019919097424,
0.005564477294683456,
0.05153372511267662,
-0.029498448595404625,
-0.02207234501838684,
-0.0340394526720047,
-0.006951327435672283,
0.026019098237156868,
0.017291473224759102,
-0.005109303630888462,
-0.05136270821094513,
0.027944372966885567,
0.01702761836349964,
0.045550715178251266,
-0.036172881722450256,
0.0033059953711926937,
0.017282411456108093,
0.02041052095592022,
0.021205604076385498,
0.046643346548080444,
0.008690736256539822,
-0.025661731138825417,
-0.028156880289316177,
-0.07453778386116028,
0.04079790785908699,
-0.03266764059662819,
-0.07576292753219604,
0.019885890185832977,
0.011986245401203632,
-0.004164827987551689,
-0.022251131013035774,
0.034837327897548676,
0.019732557237148285,
0.013456352055072784,
-0.03558773174881935,
-0.023853665217757225,
0.012404004111886024,
-0.008262132294476032,
-0.002806793199852109,
-0.10673747956752777,
-0.010579301975667477,
-0.015197858214378357,
0.020501619204878807,
-0.0019596253987401724,
0.06538866460323334,
-0.03641103208065033,
-0.014445556327700615,
0.008318228647112846,
-0.019742190837860107,
-0.0966661125421524,
0.014522438868880272,
-0.030741838738322258,
0.018808726221323013,
0.015454760752618313,
0.012344123795628548,
0.021146273240447044,
0.04953900724649429,
0.03296172618865967,
0.0672139823436737,
-0.022690121084451675,
0.024013236165046692,
0.009503773413598537,
0.01883300393819809,
-0.00800247397273779,
-0.03332391381263733,
0.01745254546403885,
0.023189855739474297,
0.00013010119437240064,
0.004194675944745541,
-0.01126470509916544,
-0.032184798270463943,
0.00317640439607203,
0.042998407036066055,
0.02192334271967411,
-0.02009320817887783,
0.0022810599766671658,
-0.03389004245400429,
0.05882373824715614,
-0.0002032915217569098,
0.05078590288758278,
-0.01849980466067791,
-0.019183408468961716,
-0.023397482931613922,
-0.035606931895017624,
0.004807428922504187,
0.007195439655333757,
-0.0012087340001016855,
0.01195600163191557,
-0.0375172458589077,
-0.00012351866462267935,
0.011694848537445068,
0.030286524444818497,
0.009845340624451637,
0.0033553270623087883,
0.011164817959070206,
0.014030447229743004,
0.02438763901591301,
-0.027048446238040924,
-0.012289786711335182,
-0.015722578391432762,
-0.09077546000480652,
0.06940680742263794,
0.050786059349775314,
-0.03385579213500023,
-0.024206047877669334,
-0.04307295382022858,
0.0002558898995630443,
0.030344650149345398,
0.0205501988530159,
0.0033544835168868303,
-0.002775414614006877,
0.06782332807779312,
0.011176572181284428,
0.0439356230199337,
0.01651786081492901,
-0.07665933668613434,
0.023825882002711296,
0.03108031302690506,
0.002335858764126897,
0.0023255047854036093,
-0.015176095068454742,
0.050922319293022156,
-0.0274392981082201,
0.020301835611462593,
0.009517151862382889,
-0.07352891564369202,
-0.01487947441637516,
0.03612583875656128,
0.0028145641554147005,
0.04295748844742775,
0.002567062620073557,
-0.0098115848377347,
0.019221007823944092,
0.013770926743745804,
0.02470874972641468,
0.0379190631210804,
0.001079773181118071,
0.03014114312827587,
-0.006830373778939247,
-0.031601160764694214,
0.004889878444373608,
0.019026082009077072,
-0.05671209469437599,
-0.045614443719387054,
0.028821416199207306,
-0.0194820836186409,
0.026842720806598663,
-0.020134765654802322,
0.026760607957839966,
0.011949330568313599,
0.014873663894832134,
-0.011687146499752998,
0.011955391615629196,
0.03970172256231308,
-0.05048815533518791,
0.05799379199743271,
0.040161240845918655,
-0.03909671679139137,
0.02721124142408371,
-0.023201433941721916,
0.07234755903482437,
0.06534245610237122,
-0.03195084258913994,
-0.013731809332966805,
0.031832460314035416,
-0.01174958422780037,
0.0056551056914031506,
0.01589980721473694,
-0.01126706600189209,
0.020670630037784576,
0.017662327736616135,
-0.030922088772058487,
-0.04283658042550087,
0.05518975481390953,
-0.028265736997127533,
-0.0020884710829705,
0.08050218969583511,
0.021416909992694855,
0.08057235181331635,
-0.02158590964972973,
0.0011691590771079063,
0.032562512904405594,
0.009362362325191498,
-0.02358335442841053,
-0.025119123980402946,
-0.03827252611517906,
-0.011842862702906132,
0.030622052028775215,
-0.02423674799501896,
-0.01955266296863556,
-0.05904471129179001,
0.002654972020536661,
0.016764836385846138,
0.0443490631878376,
0.051103536039590836,
0.04136127978563309,
0.021280469372868538,
-0.0333779938519001,
-0.014854389242827892,
-0.012502994388341904,
-0.11990833282470703,
-0.057761672884225845,
0.030684323981404305,
0.00016635225620120764,
0.05103664845228195,
0.02238294668495655,
-0.03280232101678848,
0.03163380175828934,
-0.04473065584897995,
-0.004954328760504723,
-0.022770075127482414,
0.02096160128712654,
0.04391442611813545,
-0.03119954839348793,
-0.01215099636465311,
-0.02320113778114319,
0.10067081451416016,
-0.022573594003915787,
-0.01289510726928711,
0.002525116316974163,
-0.038542333990335464,
0.021169429644942284,
-0.06497306376695633,
0.016650142148137093,
0.01666220650076866,
0.054961659014225006,
0.007889100350439548,
-0.036135684698820114,
-0.0017005131812766194,
0.046469513326883316,
0.0319620817899704,
0.03081008978188038,
0.029508445411920547,
-0.0019010951509699225,
-0.012553775683045387,
-0.01842084340751171,
-0.008947335183620453,
-0.042878009378910065,
0.023218128830194473,
-0.0018710363656282425,
-0.032354939728975296,
0.030236227437853813,
0.020644761621952057,
-0.26951518654823303,
-0.00783482100814581,
0.020376361906528473,
0.041683655232191086,
0.031167810782790184,
-0.03684329241514206,
0.039913568645715714,
-0.029057124629616737,
-0.03228975087404251,
-0.009697855450212955,
0.010397776030004025,
-0.005241884849965572,
-0.0067527336068451405,
0.0800003930926323,
0.059682801365852356,
0.034686073660850525,
-0.005666572134941816,
-0.013513081707060337,
-0.006076501682400703,
0.020315105095505714,
0.004494320601224899,
-0.08354402333498001,
0.015628594905138016,
0.011405023746192455,
-0.014509807340800762,
0.026700930669903755,
-0.06567882001399994,
0.006150655914098024,
-0.06903298199176788,
0.022769873961806297,
-0.04654938727617264,
0.006744123063981533,
-0.03300316631793976,
0.0072487108409404755,
0.00728622218593955,
0.005287976004183292,
0.054364658892154694,
0.009657435119152069,
-0.013686797581613064,
0.020051930099725723,
0.007139220833778381,
-0.008522245101630688,
-0.034567587077617645,
-0.011086559854447842,
0.0434819720685482,
0.029531829059123993,
-0.03154238313436508,
-0.018321916460990906,
0.005087471101433039,
0.03873797878623009,
0.023777645081281662,
0.014523054473102093,
-0.02872045338153839,
0.0008785154204815626,
-0.02990194968879223,
0.0032982632983475924,
-0.048714470118284225,
-0.013047142885625362,
-0.0033854327630251646,
0.042271316051483154,
0.017558226361870766,
-0.04740627110004425,
0.003477430436760187,
-0.040567729622125626,
0.008741811849176884,
-0.05197269096970558,
-0.06719773262739182,
-0.056264109909534454,
0.027085451409220695,
0.02621637098491192,
-0.006071241572499275,
-0.04317755252122879,
-0.011883272789418697,
-0.08690488338470459,
0.0041299848817288876,
-0.04895062372088432,
-0.00785558670759201,
-0.015925344079732895,
0.02716745063662529,
0.06680558621883392,
-0.04201929643750191,
-0.05433892458677292,
0.010079079307615757,
0.008326558396220207,
0.0312346201390028,
-0.04129822924733162,
-0.0021557905711233616,
-0.01996256411075592,
-0.01745550148189068,
-0.048241980373859406,
0.01347918901592493,
0.0009139088215306401,
0.02829592488706112,
-0.004866487812250853,
0.028619643300771713,
0.024861609563231468,
0.007849079556763172,
0.043121982365846634,
0.005088748876005411,
0.006381720304489136,
0.009160059504210949,
-0.08407584577798843,
-0.031626567244529724,
-0.05203817039728165,
-0.05017108842730522,
0.00730126304551959,
-0.02687089517712593,
-0.029107242822647095,
0.024499405175447464,
0.010089504532516003,
-0.0017316578887403011,
-0.04033872112631798,
0.01745462417602539,
-0.00593355018645525,
0.016602881252765656,
-0.014295567758381367,
-0.019211867824196815,
0.027397822588682175,
0.0391177237033844,
0.009684767574071884,
-0.04745940864086151,
0.04533357918262482,
-0.020026469603180885,
-0.0012547305086627603,
-0.031914617866277695,
-0.016384243965148926,
0.031742192804813385,
-0.020356714725494385,
-0.0022302004508674145,
-0.020194729790091515,
0.04852157086133957,
0.053543999791145325,
-0.00420856848359108,
-0.004034759476780891,
0.030352771282196045,
0.0018532044487074018,
0.002255780156701803,
-0.0030657134484499693,
0.019247042015194893,
-0.0013695928500965238,
-0.005614130757749081,
-0.017062751576304436,
0.04488525167107582,
0.05625767633318901,
0.03173656761646271,
-0.007411984261125326,
-0.00580107606947422,
0.02196146920323372,
0.00394342839717865,
-0.006126591004431248,
0.011078418232500553,
-0.055671025067567825,
0.01247633621096611,
-0.020643820986151695,
0.027207477018237114,
-0.013386252336204052,
0.03418504819273949,
-0.010262795723974705,
0.019888071343302727,
-0.07634345442056656,
0.041633427143096924,
0.0035855411551892757,
-0.03902561962604523,
-0.027517670765519142,
0.029904820024967194,
0.04982638731598854,
-0.046150386333465576,
-0.033184416592121124,
0.006961765233427286,
0.051674749702215195,
0.03168242424726486,
-0.04171597585082054,
-0.01900971494615078,
-0.031462639570236206,
-0.03453793004155159,
-0.017102723941206932,
0.01181455422192812,
-0.013871116563677788,
-0.0601256862282753,
0.007248265668749809,
0.0040029981173574924,
-0.04741322994232178,
-0.005546975415199995,
-0.016621941700577736,
0.05747068300843239,
-0.0020390187855809927,
0.002690588589757681,
0.0014916909858584404,
-0.03161256015300751,
0.02619766816496849,
0.0048715174198150635,
0.018018612638115883,
-0.03147655352950096,
-0.056238140910863876,
-0.024822546169161797,
-0.020140264183282852,
0.02809794619679451,
0.034263744950294495,
-0.03928113728761673,
0.009308765642344952,
-0.0018445628229528666,
0.0003929415834136307,
-0.01789393089711666,
-0.0009070116793736815,
-0.002508840523660183,
-0.052049536257982254,
0.03365430608391762,
0.06579647958278656,
-0.02896939031779766,
0.06129530072212219,
-0.06274700909852982,
-0.06131667643785477,
-0.05271361768245697,
-0.005035529378801584,
0.009530617855489254,
-0.02194705791771412,
-0.06033841148018837,
-0.019062669947743416,
-0.007622044533491135,
-0.006088576279580593,
-0.0037477745208889246,
-0.012873989529907703,
-0.01020906213670969,
-0.03717975318431854,
0.01678691804409027,
0.06443700939416885,
-0.03834981098771095,
-0.04875284805893898,
0.01397803146392107,
-0.007014583330601454,
0.010130302049219608,
-0.023904837667942047,
0.001708609750494361,
0.03425410017371178,
-0.003117396030575037,
0.03578173741698265,
-0.03729037195444107,
0.032572418451309204,
-0.062175899744033813,
-0.0192469023168087,
-0.03779167681932449,
0.03820018842816353,
-0.006632934790104628,
-0.021928442642092705,
-0.000858944607898593,
0.02445646934211254,
0.04250232130289078,
0.028320524841547012,
0.022965211421251297,
0.03164491057395935,
0.005731513723731041,
0.031359922140836716,
-0.07073395699262619,
0.02257847785949707,
0.07539118081331253,
0.024899309501051903,
-0.013354828581213951,
-0.05277705937623978,
0.0017346894601359963,
0.035843703895807266,
-0.03760470077395439,
0.010503748431801796,
-0.022689461708068848,
0.015223988331854343,
0.022684751078486443,
0.00668669305741787,
0.01832510530948639,
-0.02033929154276848,
0.012993140146136284,
-0.0871601328253746,
0.01759040541946888,
-0.08198758959770203,
-0.014129349030554295,
0.07042425125837326,
-0.028013043105602264,
0.03484387323260307,
0.08060971647500992,
-0.0228524561971426,
0.05042148754000664,
-0.03772073984146118,
-0.03599468246102333,
0.03216997906565666,
-0.02055773138999939,
0.005176501348614693,
0.06151992455124855,
-0.038627851754426956,
-0.06630079448223114,
0.010955567471683025,
-0.029047414660453796,
0.007839182391762733,
0.026058927178382874,
0.05308830738067627,
0.01869594305753708,
0.003885652171447873,
-0.06618665158748627,
0.019544415175914764,
0.019260399043560028,
0.05080852285027504,
0.022423654794692993,
0.035211313515901566,
-0.04970284178853035,
0.0517110638320446,
0.016897017136216164,
0.01567697897553444,
-0.011644906364381313,
-0.0024199665058404207,
-0.021457502618432045,
-0.04727992042899132,
0.037552397698163986,
0.007432478945702314,
-0.007458701264113188,
-0.06638304144144058,
0.053879931569099426,
0.00835640449076891,
-0.071065753698349,
-0.04589063674211502,
0.035044897347688675,
-0.07954680919647217,
0.020066088065505028,
-0.019914476200938225,
0.017444705590605736,
0.02511686459183693,
0.095858633518219,
0.03280176594853401,
0.052876316010951996,
0.051972124725580215,
-0.00024848332395777106,
0.00973487552255392,
-0.01176118291914463,
0.08114407956600189,
0.0628371611237526,
0.055813733488321304,
-0.028730621561408043,
0.05737297236919403,
-0.07647004723548889,
-0.050319235771894455,
0.028296904638409615,
0.032951634377241135,
-0.01789640076458454,
-0.024598531424999237,
0.002768027363345027,
0.04932309314608574,
0.027449654415249825,
0.08958086371421814,
-0.036766573786735535,
0.004761065356433392,
0.0328766293823719,
-0.004913472570478916,
0.019341671839356422,
0.03623398020863533,
0.026918334886431694,
0.016325045377016068,
-0.035686373710632324,
-0.009354306384921074,
0.037951819598674774,
0.000380352430511266,
0.027861379086971283,
-0.0003311471955385059,
-0.018704410642385483,
-0.009789744392037392,
0.015799343585968018,
0.016983836889266968,
0.10798948258161545,
-0.0312328077852726,
-0.032035354524850845,
0.009158500470221043,
0.0034540279302746058,
0.005648029036819935,
0.03357731178402901,
0.03592444211244583,
-0.037768296897411346,
0.024390481412410736,
-0.04558801278471947,
0.0013351616216823459,
0.031758248805999756,
-0.034628719091415405,
-0.02210315875709057,
-0.008425731211900711,
-0.016645923256874084,
0.011101549491286278,
0.005345150362700224,
-0.05172134190797806,
-0.02401142567396164,
-0.03381333500146866,
-0.03744279965758324,
-0.04373347759246826,
-0.08286771178245544,
0.028911584988236427,
0.03404342383146286,
-0.028316058218479156,
0.01833927258849144,
-0.03493455797433853,
0.011112845502793789,
0.019867250695824623,
-0.0550915002822876,
0.005645554978400469,
0.043547119945287704,
0.03237224370241165,
0.01139060128480196,
0.010287760756909847,
0.035151563584804535,
-0.012410531751811504,
-0.018763188272714615,
-0.002998172305524349,
0.026608621701598167,
0.03092252090573311,
-0.02168077602982521,
0.006247977260500193,
-0.08262868225574493,
-0.009237329475581646,
0.015208513475954533,
-0.03572697937488556,
-0.09496210515499115,
0.04236680641770363,
-0.06191844493150711,
0.03383921459317207,
0.08872155845165253,
0.019208349287509918,
0.0174807570874691,
-0.015207692049443722,
-0.017426807433366776,
-0.0036738640628755093,
0.0005164542235434055,
0.021868625655770302,
-0.02806779369711876,
0.060136716812849045,
0.005885040387511253,
-0.02685052901506424,
-0.054031044244766235,
0.06885485351085663,
-0.012085811235010624,
0.0035391738638281822,
-0.0036951478105038404,
0.0017498023808002472,
0.001289023202843964,
-0.08995727449655533,
0.011851591989398003,
0.06574282050132751,
-0.0009020640281960368,
-0.016565220430493355,
0.015088783577084541,
-0.00334602827206254,
0.00798315741121769,
0.00669026980176568,
-0.04524415358901024,
-0.03388768807053566,
-0.023468848317861557,
-0.011913067661225796,
-0.07754235714673996,
0.03753748908638954,
-0.06119932606816292,
-0.011237488128244877,
-0.015096809715032578,
-0.05335773527622223,
-0.01655234396457672,
-0.029439760372042656,
0.02298532798886299,
0.007390208076685667,
-0.012065049260854721,
0.013067212887108326
] | null |
501 |
Emergent Symbolic Mechanisms Support Abstract Reasoning in Large Language Models
|
https://openreview.net/forum?id=y1SnRPDWx4
|
[
"Yukang Yang",
"Declan Iain Campbell",
"Kaixuan Huang",
"Mengdi Wang",
"Jonathan D. Cohen",
"Taylor Whittington Webb"
] |
Poster
|
Many recent studies have found evidence for emergent reasoning capabilities in large language models (LLMs), but debate persists concerning the robustness of these capabilities, and the extent to which they depend on structured reasoning mechanisms. To shed light on these issues, we study the internal mechanisms that support abstract reasoning in LLMs. We identify an emergent symbolic architecture that implements abstract reasoning via a series of three computations. In early layers, *symbol abstraction heads* convert input tokens to abstract variables based on the relations between those tokens. In intermediate layers, *symbolic induction heads* perform sequence induction over these abstract variables. Finally, in later layers, *retrieval heads* predict the next token by retrieving the value associated with the predicted abstract variable. These results point toward a resolution of the longstanding debate between symbolic and neural network approaches, suggesting that emergent reasoning in neural networks depends on the emergence of symbolic mechanisms.
|
Mechanistic interpretability, reasoning, abstraction, large language models
|
A three-stage architecture is identified that supports abstract reasoning in LLMs via a set of emergent symbol-processing mechanisms
| 13,386 |
2502.20332
|
[
-0.04849205166101456,
-0.015586398541927338,
-0.025441300123929977,
0.019703680649399757,
0.04866127669811249,
0.004128584638237953,
0.03301353007555008,
0.01846514828503132,
-0.052958257496356964,
0.013866027817130089,
-0.028007877990603447,
0.04420621693134308,
-0.04271918535232544,
0.010297405533492565,
0.00906703993678093,
0.05667779594659805,
0.03908650204539299,
-0.01082372386008501,
0.005987898446619511,
0.000039867692976258695,
-0.02377748303115368,
-0.01571773551404476,
0.030222492292523384,
0.006091579794883728,
0.04080135375261307,
0.007011710666120052,
0.02288750186562538,
-0.006936762947589159,
-0.015305210836231709,
0.00037144075031392276,
0.038192737847566605,
-0.006300905253738165,
0.015303894877433777,
-0.027151215821504593,
-0.012920874170958996,
-0.007015622686594725,
-0.06280098855495453,
0.0017826382536441088,
0.01399683952331543,
0.007144866976886988,
-0.0438806414604187,
0.037854116410017014,
-0.0004629765753634274,
-0.0031629307195544243,
-0.06580491364002228,
0.002484786557033658,
-0.1451733261346817,
0.009419048205018044,
0.017717750743031502,
-0.02039453387260437,
-0.12188924103975296,
0.02536318451166153,
0.002592794131487608,
-0.021866532042622566,
0.011927015148103237,
0.042953044176101685,
0.052037063986063004,
-0.09990230202674866,
0.012914394959807396,
-0.03321235254406929,
-0.02728145942091942,
0.03652423620223999,
0.007913819514214993,
-0.0240306556224823,
-0.03680392727255821,
-0.02053339220583439,
-0.008128758519887924,
0.029152460396289825,
-0.09003560990095139,
-0.027791528031229973,
-0.03175291791558266,
0.022694576531648636,
-0.0267383623868227,
0.0005893040797673166,
-0.002118980512022972,
-0.044152941554784775,
0.01696656085550785,
0.03143101558089256,
0.05996798723936081,
-0.000796929991338402,
-0.030063152313232422,
0.07568347454071045,
0.03059951774775982,
0.04867320880293846,
0.06033075228333473,
0.015192409977316856,
-0.048910513520240784,
-0.03298129886388779,
-0.06450702995061874,
0.026484975591301918,
-0.02016691118478775,
-0.07110366970300674,
-0.004545200150460005,
0.03403853625059128,
0.01154609676450491,
0.01093493402004242,
0.015886304900050163,
0.013835635036230087,
0.013754565268754959,
0.01720896176993847,
-0.021235626190900803,
-0.03175393491983414,
0.019553640857338905,
0.004428827203810215,
-0.1067831739783287,
-0.007166923955082893,
-0.01833227090537548,
-0.027797261252999306,
0.004544469527900219,
-0.0004415450384840369,
-0.03420042246580124,
-0.015337403863668442,
0.028628583997488022,
-0.016218161210417747,
-0.06422502547502518,
0.020645352080464363,
0.018805526196956635,
0.033598124980926514,
0.011431215330958366,
0.02532976306974888,
0.05788138136267662,
-0.005324830766767263,
-0.011832350865006447,
0.05606050789356232,
-0.026844067499041557,
0.012003765441477299,
-0.010090277530252934,
0.026056189090013504,
-0.03206649795174599,
-0.03717469796538353,
0.0034373837988823652,
0.04856763407588005,
0.022060317918658257,
0.015954557806253433,
-0.002446669852361083,
0.007056048139929771,
0.008664613589644432,
-0.0022327254991978407,
0.02702668309211731,
0.004017527215182781,
-0.0048367357812821865,
-0.014236188493669033,
0.06169150024652481,
-0.03806135430932045,
0.062058188021183014,
-0.013743429444730282,
-0.03408209607005119,
-0.02353201061487198,
-0.016202248632907867,
-0.02516394481062889,
0.01082383468747139,
-0.00041462533408775926,
-0.0015011836076155305,
-0.05874348059296608,
0.024752743542194366,
0.07207123935222626,
0.03339850902557373,
0.010429262183606625,
0.023462871089577675,
0.022454915568232536,
0.013505995273590088,
-0.01152881421148777,
-0.04009880870580673,
0.006881996989250183,
-0.0029172308277338743,
-0.05661142244935036,
0.022061489522457123,
0.013383768498897552,
-0.03670794144272804,
0.022072575986385345,
-0.014363146387040615,
-0.04289127141237259,
0.06784814596176147,
-0.018634237349033356,
-0.019103746861219406,
-0.04446013644337654,
0.0545986108481884,
-0.00489004934206605,
0.053119998425245285,
0.016263892874121666,
-0.06594473123550415,
0.016527209430933,
-0.040206462144851685,
0.035231105983257294,
0.005708904471248388,
-0.04391757398843765,
0.07939140498638153,
-0.04862966760993004,
0.010229582898318768,
0.00689098471775651,
-0.05956697836518288,
-0.007529751397669315,
0.022445956245064735,
0.023236865177750587,
0.0676748976111412,
-0.0004285968898329884,
-0.0072908345609903336,
0.048013076186180115,
0.013869757764041424,
0.0727587640285492,
0.07315997779369354,
0.003275519236922264,
0.03518975153565407,
-0.009429315105080605,
-0.0056733302772045135,
0.01528419554233551,
0.03264033421874046,
-0.05969943106174469,
-0.03720243647694588,
0.01675637625157833,
-0.025213662534952164,
0.0033273876179009676,
0.015518884174525738,
-0.024140864610671997,
0.02066127397119999,
-0.0016455103177577257,
0.0023452804889529943,
-0.014654342085123062,
-0.002032005460932851,
-0.05884639918804169,
0.0028188119176775217,
0.007562808692455292,
0.008647892624139786,
-0.012716507539153099,
-0.02275914140045643,
0.09341704845428467,
0.06257310509681702,
-0.027089670300483704,
-0.0023992853239178658,
0.052966970950365067,
0.013182474300265312,
-0.000052523944759741426,
0.012663289904594421,
-0.01739134080708027,
0.013401901349425316,
-0.02969260700047016,
0.006642445456236601,
-0.04085578769445419,
0.054073043167591095,
-0.04607712849974632,
-0.010050692595541477,
0.07862379401922226,
-0.047066181898117065,
0.058625925332307816,
-0.026533247902989388,
0.010984801687300205,
0.04416731745004654,
-0.026855038478970528,
-0.009281149134039879,
-0.002853572368621826,
-0.04539685696363449,
-0.01348902378231287,
-0.011595622636377811,
-0.024753965437412262,
-0.011428890749812126,
-0.04486639052629471,
-0.022545702755451202,
-0.02467314712703228,
0.07605055719614029,
0.04470235854387283,
0.023381344974040985,
0.0036538206040859222,
0.0019614058546721935,
-0.030249757692217827,
0.00864834152162075,
-0.11297973245382309,
-0.020929092541337013,
0.006029240787029266,
0.04638093709945679,
0.008397918194532394,
0.03439977765083313,
-0.008560355752706528,
0.04253801703453064,
-0.009172584861516953,
-0.03734293207526207,
-0.0007711116340942681,
0.01777442917227745,
-0.019542619585990906,
-0.04842342063784599,
-0.004539087880402803,
-0.012623707763850689,
0.0597095713019371,
-0.02599475346505642,
-0.023385679349303246,
-0.021105263382196426,
-0.03353283554315567,
-0.013796810060739517,
-0.03858942911028862,
0.005931426305323839,
0.01726895198225975,
0.030270861461758614,
0.007852182723581791,
-0.00844176858663559,
0.020133791491389275,
0.05082731693983078,
0.04594926908612251,
0.046790797263383865,
-0.024865806102752686,
-0.0033677073661237955,
0.010748719796538353,
-0.04021226987242699,
0.005600676406174898,
-0.005918833427131176,
0.055594317615032196,
0.009762999601662159,
0.016229908913373947,
0.014977512881159782,
0.01878298819065094,
-0.27186283469200134,
-0.026991255581378937,
0.010133990086615086,
-0.026680152863264084,
0.03465726599097252,
0.014253915287554264,
0.046462126076221466,
-0.030514858663082123,
-0.02509687840938568,
0.010393998585641384,
0.03063368797302246,
0.01853962056338787,
0.011536721140146255,
0.05222087353467941,
0.03488919883966446,
0.005208584945648909,
-0.024068361148238182,
-0.045506443828344345,
-0.0012071245582774282,
0.044029511511325836,
-0.011532816104590893,
-0.06982778757810593,
-0.03356007859110832,
0.06304428726434708,
0.015238054096698761,
0.058011945337057114,
-0.08807272464036942,
0.0013878686586394906,
-0.03368603065609932,
-0.011775804683566093,
-0.036036476492881775,
-0.01999015174806118,
-0.02746117115020752,
0.05738029628992081,
-0.010793429799377918,
0.028283096849918365,
0.049721699208021164,
-0.01740184985101223,
0.02997029386460781,
0.036952633410692215,
0.020484648644924164,
-0.037255167961120605,
-0.019798675552010536,
0.01556302234530449,
0.046311188489198685,
-0.017384277656674385,
-0.05077015981078148,
-0.046416573226451874,
-0.0063483561389148235,
0.03642406687140465,
-0.0462513230741024,
-0.011885354295372963,
0.003790568793192506,
-0.011029655113816261,
0.016903812065720558,
-0.005720510147511959,
-0.022048568353056908,
-0.04875567927956581,
-0.017299089580774307,
0.012771389447152615,
0.031832072883844376,
-0.04118512198328972,
-0.010901431553065777,
-0.04472581669688225,
-0.008556750603020191,
-0.028675870969891548,
-0.07292643934488297,
-0.050139784812927246,
0.050984181463718414,
0.029906965792179108,
-0.01003554929047823,
0.012460305355489254,
-0.0066902958787977695,
-0.08914877474308014,
-0.015719806775450706,
-0.008678926154971123,
-0.01766868866980076,
-0.0210458692163229,
0.025493156164884567,
0.041656553745269775,
-0.024797480553388596,
-0.0154039915651083,
-0.047359682619571686,
0.03294423222541809,
0.029160980135202408,
-0.00493514072149992,
0.024302199482917786,
-0.030569251626729965,
-0.04068168252706528,
-0.0056564221158623695,
0.005981156136840582,
0.04363508149981499,
0.013819037936627865,
0.008518358692526817,
0.07209113240242004,
0.03181487321853638,
0.02948351390659809,
0.035588912665843964,
0.05981030687689781,
-0.0005133473314344883,
0.04069546237587929,
-0.07217992842197418,
-0.008375116623938084,
-0.00909690372645855,
-0.048569172620773315,
0.006985117681324482,
-0.03284275159239769,
-0.017826152965426445,
0.03863745927810669,
-0.009082266129553318,
-0.034845251590013504,
-0.05136147886514664,
-0.015331551432609558,
-0.013187429867684841,
-0.030795680359005928,
-0.0030112850945442915,
-0.004540522117167711,
0.04668663069605827,
0.015325682237744331,
-0.018319033086299896,
-0.030532820150256157,
0.04371148720383644,
-0.045334335416555405,
0.025054773315787315,
-0.002592627191916108,
-0.03544557839632034,
-0.002006540773436427,
-0.044241201132535934,
-0.009124679490923882,
0.009023352526128292,
0.034358568489551544,
0.005947657860815525,
-0.006037577986717224,
0.030815351754426956,
0.0523550771176815,
0.0015126601792871952,
0.00658284081146121,
-0.00010999404184985906,
0.0019293723162263632,
-0.01713757961988449,
0.003119406057521701,
-0.002710506087169051,
0.03228902444243431,
0.016255201771855354,
0.02089840918779373,
0.010941377840936184,
0.009489907883107662,
-0.01517037209123373,
-0.012957747094333172,
0.0124067272990942,
0.06444556266069412,
-0.054782163351774216,
0.017799539491534233,
-0.02359248325228691,
-0.017099633812904358,
-0.0019140129443258047,
0.03401888534426689,
-0.028120417147874832,
0.0032218059059232473,
-0.06222943216562271,
0.049653470516204834,
-0.0009963966440409422,
0.01682043820619583,
0.01736961305141449,
-0.009238408878445625,
0.045382026582956314,
-0.054394081234931946,
0.013759218156337738,
0.030562419444322586,
0.02517838403582573,
-0.0029399399645626545,
-0.018123939633369446,
-0.03836779668927193,
0.014556043781340122,
-0.026811596006155014,
0.009336785413324833,
0.0035812838468700647,
-0.01685575768351555,
-0.04499552771449089,
0.016472110524773598,
-0.007891490124166012,
-0.019445888698101044,
-0.015402648597955704,
0.010499170050024986,
0.08375416696071625,
0.009464669041335583,
0.043194618076086044,
-0.00021352649491745979,
-0.06799840927124023,
0.00889910664409399,
-0.013087516650557518,
-0.0052501242607831955,
-0.0017243060283362865,
-0.03755711019039154,
-0.055613502860069275,
-0.02575773373246193,
0.01867113634943962,
0.0368586927652359,
-0.006152166519314051,
-0.0019190615275874734,
0.013265151530504227,
0.0049038240686059,
-0.06267654150724411,
-0.010162211023271084,
0.025045152753591537,
-0.06901616603136063,
0.0003000969300046563,
0.02431013062596321,
0.012482250109314919,
0.03709496930241585,
-0.008698821999132633,
-0.02839924767613411,
-0.060480426996946335,
-0.016270404681563377,
0.06075289100408554,
0.003757193684577942,
0.001263406709767878,
-0.023929109796881676,
0.008687401190400124,
0.019558336585760117,
0.022161174565553665,
0.018847649917006493,
0.012182202190160751,
-0.022989334538578987,
-0.0024878960102796555,
0.03835062310099602,
-0.017987487837672234,
-0.01879093050956726,
0.015404362231492996,
-0.04817713052034378,
0.037740398198366165,
-0.039230164140462875,
0.023090781643986702,
0.03109624981880188,
0.017160866409540176,
-0.028833024203777313,
-0.019978446885943413,
0.04208064824342728,
0.011582081206142902,
0.005118635483086109,
-0.00039649801328778267,
-0.020246310159564018,
0.0020482081454247236,
-0.01276569627225399,
-0.01600390486419201,
0.041979964822530746,
0.021022353321313858,
0.005887330509722233,
0.016435883939266205,
0.0002332911972189322,
0.00008370784780709073,
-0.0018733564065769315,
-0.03619467467069626,
-0.010837779380381107,
0.05539226159453392,
-0.024141032248735428,
-0.023800116032361984,
-0.06761714071035385,
-0.027379345148801804,
0.0007095692562870681,
-0.012820513918995857,
0.0194364283233881,
-0.04699765518307686,
0.06704472005367279,
-0.002792103448882699,
0.06327082961797714,
-0.011683001182973385,
-0.012829274870455265,
0.05070646107196808,
-0.03623514249920845,
-0.0011949370382353663,
-0.07623951882123947,
-0.034131068736314774,
0.05618162080645561,
-0.0354975201189518,
-0.004707796964794397,
-0.013573444448411465,
-0.04686443507671356,
0.03572601079940796,
-0.013101058080792427,
-0.01946978271007538,
0.027322012931108475,
0.0014730400871485472,
0.015514119528234005,
0.040514253079891205,
-0.05419323220849037,
-0.03360689431428909,
-0.011910109780728817,
-0.04647282138466835,
0.008334201760590076,
-0.0039219846948981285,
0.05703418701887131,
-0.015599439851939678,
0.027308864519000053,
0.017361091449856758,
0.01532040722668171,
0.014416079968214035,
0.07091919332742691,
0.03619519993662834,
0.04896977171301842,
-0.02526002563536167,
0.07899672538042068,
0.041202157735824585,
0.04002930596470833,
-0.009749332442879677,
-0.011155970394611359,
-0.019139869138598442,
-0.08881999552249908,
0.034510280936956406,
-0.017487110570073128,
-0.023012924939393997,
-0.0496198870241642,
0.07071810960769653,
0.01733488030731678,
-0.04896792769432068,
0.00024128828954417259,
-0.00033773272298276424,
-0.04886164143681526,
-0.010135048069059849,
0.0076448372565209866,
0.026616254821419716,
-0.0025344067253172398,
0.0566495880484581,
0.026637118309736252,
0.07598473131656647,
0.07613372057676315,
0.021010611206293106,
-0.016925964504480362,
0.004075970966368914,
0.052323274314403534,
0.04833946377038956,
0.06891955435276031,
0.016916777938604355,
0.07031583786010742,
-0.04190404713153839,
-0.04091859236359596,
0.022834375500679016,
0.004538201726973057,
-0.019030170515179634,
-0.03886619582772255,
0.03530500456690788,
0.06740601360797882,
-0.00849379226565361,
0.06889983266592026,
-0.04648003727197647,
-0.010713635943830013,
0.05811680108308792,
0.0039034506771713495,
0.01414850540459156,
0.04375001788139343,
0.04080325365066528,
-0.005698399618268013,
-0.010606221854686737,
-0.0251537524163723,
-0.004926702938973904,
-0.02667878568172455,
0.007003404665738344,
-0.0030684953089803457,
0.0021942686289548874,
0.014986767433583736,
-0.03029254823923111,
0.0835488960146904,
0.14563845098018646,
-0.03846083581447601,
-0.022146545350551605,
0.04367366060614586,
0.025324886664748192,
0.017389783635735512,
0.02946394495666027,
-0.001329305348917842,
-0.0007254621013998985,
0.00025691199698485434,
-0.034422922879457474,
0.014420791529119015,
0.028647061437368393,
0.0028031659312546253,
0.017745114862918854,
-0.01116460282355547,
-0.07030193507671356,
-0.006129734683781862,
0.036029230803251266,
-0.014789114706218243,
-0.05465627834200859,
-0.025022445246577263,
-0.0316823348402977,
-0.05160708725452423,
-0.04436691850423813,
0.03823147341609001,
-0.0240470040589571,
-0.025001343339681625,
0.008276427164673805,
-0.02362998016178608,
0.00511018093675375,
-0.015975836664438248,
-0.044814154505729675,
0.008825995959341526,
0.02685481496155262,
0.013076956383883953,
-0.038756608963012695,
0.04693245887756348,
0.01778109185397625,
-0.015507944859564304,
-0.01396080944687128,
0.00976360123604536,
0.0076143741607666016,
0.013126400299370289,
0.022969119250774384,
-0.03873894363641739,
-0.0935104638338089,
-0.002685773419216275,
0.0036610544193536043,
-0.024144090712070465,
-0.07754156738519669,
0.020845001563429832,
-0.03002339042723179,
0.016964955255389214,
0.08305680751800537,
0.005977272987365723,
0.026871483772993088,
-0.02472284995019436,
-0.0014239010633900762,
0.022204408422112465,
0.014392147772014141,
0.051248081028461456,
-0.024396585300564766,
0.05571820214390755,
0.03313702344894409,
-0.01374087668955326,
-0.05407652258872986,
0.008092021569609642,
-0.004057429265230894,
-0.005698078311979771,
-0.019841957837343216,
-0.022960128262639046,
-0.021376166492700577,
-0.10392657667398453,
-0.014956592582166195,
-0.0008123861625790596,
-0.033323850482702255,
-0.037900831550359726,
0.008951213210821152,
-0.026348568499088287,
-0.017865987494587898,
-0.009849603287875652,
-0.01598944701254368,
-0.016977202147245407,
-0.021988557651638985,
-0.04969247058033943,
-0.06502053886651993,
-0.017182521522045135,
-0.016475141048431396,
-0.0021328635048121214,
-0.04406769573688507,
-0.03196153789758682,
-0.013983861543238163,
-0.011667128652334213,
0.024582555517554283,
-0.019036512821912766,
0.032299239188432693,
-0.016639240086078644
] |
https://github.com/yukang123/LLMSymbMech
|
502 |
Causal-PIK: Causality-based Physical Reasoning with a Physics-Informed Kernel
|
https://openreview.net/forum?id=QgSfbgzgbH
|
[
"Carlota Parés Morlans",
"Michelle Yi",
"Claire Chen",
"Sarah A Wu",
"Rika Antonova",
"Tobias Gerstenberg",
"Jeannette Bohg"
] |
Poster
|
Tasks that involve complex interactions between objects with unknown dynamics make planning before execution difficult. These tasks require agents to iteratively improve their actions after actively exploring causes and effects in the environment. For these type of tasks, we propose Causal-PIK, a method that leverages Bayesian optimization to reason about causal interactions via a Physics-Informed Kernel to help guide efficient search for the best next action. Experimental results on Virtual Tools and PHYRE physical reasoning benchmarks show that Causal-PIK outperforms state-of-the-art results, requiring fewer actions to reach the goal. We also compare Causal-PIK to human studies, including results from a new user study we conducted on the PHYRE benchmark. We find that Causal-PIK remains competitive on tasks that are very challenging, even for human problem-solvers.
|
active exploration, physical reasoning, causality, bayesian optimization
|
We propose a method that leverages Bayesian optimization to reason about causality via a Physics-Informed Kernel. This helps agents to efficiently find solutions to tasks that involve complex interactions between objects with unknown dynamics.
| 13,358 | null |
[
-0.016664307564496994,
-0.01496960036456585,
0.0005051444168202579,
0.0740833505988121,
0.025829829275608063,
0.021134227514266968,
0.014040752314031124,
0.010367762297391891,
-0.01872113347053528,
-0.03449006378650665,
-0.015744512900710106,
0.01954388990998268,
-0.057671427726745605,
-0.015490398742258549,
-0.012071848846971989,
0.050820257514715195,
0.020747603848576546,
-0.01840190589427948,
-0.005225194618105888,
0.013583783991634846,
-0.005783303175121546,
0.00465863011777401,
0.01868387684226036,
0.014690968208014965,
0.04116518050432205,
0.02696591429412365,
0.06140866503119469,
0.016041256487369537,
-0.020129162818193436,
0.005583654157817364,
0.013950388878583908,
0.013620742596685886,
-0.009691224433481693,
-0.052310697734355927,
-0.022932227700948715,
0.031677257269620895,
-0.03452961891889572,
0.040883827954530716,
-0.030831610783934593,
0.00045675854198634624,
-0.03772132471203804,
0.02419392205774784,
-0.00834121834486723,
-0.03899279609322548,
-0.03761468455195427,
0.015914876013994217,
-0.07559087872505188,
0.05372646450996399,
0.02038954384624958,
-0.039056215435266495,
-0.06930020451545715,
0.02708483673632145,
0.016637519001960754,
0.009797944687306881,
-0.04459843039512634,
0.023593472316861153,
0.03780210763216019,
-0.08651788532733917,
0.014768991619348526,
-0.06076379492878914,
-0.047100938856601715,
0.02509726770222187,
0.017873229458928108,
-0.012539444491267204,
0.009017109870910645,
-0.0037147272378206253,
0.01056321058422327,
0.05539591982960701,
-0.00960509479045868,
-0.016320906579494476,
-0.059768885374069214,
-0.036245111376047134,
0.003577291266992688,
0.019796175882220268,
0.025565771386027336,
-0.009558805264532566,
0.04978196695446968,
0.01739276573061943,
0.04808538779616356,
-0.0058014849200844765,
0.02714313007891178,
0.02833673171699047,
-0.007517076563090086,
0.02880389243364334,
0.024214649572968483,
0.01101608481258154,
-0.049910109490156174,
-0.007652267813682556,
-0.054946042597293854,
0.0412321463227272,
0.01065190602093935,
-0.056507501751184464,
0.022460777312517166,
0.043037354946136475,
0.0077982316724956036,
-0.018791744485497475,
0.026955993846058846,
0.011906342580914497,
-0.01806858368217945,
-0.0157821886241436,
-0.026957260444760323,
-0.03375377506017685,
0.014700123108923435,
0.014110972173511982,
-0.09637399017810822,
-0.011349538341164589,
-0.02782994881272316,
-0.0502299889922142,
-0.014538811519742012,
0.016163744032382965,
-0.029795100912451744,
0.0004839235043618828,
0.03428872674703598,
-0.003027653321623802,
-0.046406835317611694,
0.059885233640670776,
0.024491408839821815,
0.01775948889553547,
0.03045387752354145,
0.04649145528674126,
0.04774641618132591,
0.05701201409101486,
-0.007339518517255783,
0.05370549112558365,
-0.00934262853115797,
0.020146604627370834,
0.03594767302274704,
0.014646554365754128,
-0.004425616469234228,
-0.04046882688999176,
0.01838269829750061,
0.04122481495141983,
0.005733596161007881,
-0.04406123608350754,
-0.0035482775419950485,
-0.0066453032195568085,
0.011124569922685623,
0.047638021409511566,
-0.00200650654733181,
0.016242720186710358,
-0.004036875907331705,
-0.038054537028074265,
0.09237925708293915,
-0.009526296518743038,
0.09196450561285019,
-0.03883178532123566,
-0.005297255236655474,
-0.00026890981825999916,
-0.047446127980947495,
0.01205944549292326,
-0.009827105328440666,
0.010158243589103222,
0.01854543201625347,
-0.0653223842382431,
0.012586970813572407,
0.04660602658987045,
-0.0017597598489373922,
0.03086738847196102,
-0.028368819504976273,
0.011236975900828838,
0.00490198889747262,
-0.016582418233156204,
-0.03527900576591492,
0.018036263063549995,
0.003380113746970892,
-0.07791392505168915,
0.06153606250882149,
0.02934420481324196,
-0.026518817991018295,
-0.0006260554073378444,
-0.03967911750078201,
-0.04942384362220764,
0.04616926610469818,
0.016028258949518204,
-0.016374917700886726,
0.008908174000680447,
0.05502244457602501,
-0.03578358516097069,
0.029293226078152657,
0.010711541399359703,
-0.06874211877584457,
0.025223160162568092,
-0.029122313484549522,
-0.026052312925457954,
0.007862744852900505,
-0.022328870370984077,
0.02742559090256691,
-0.034905288368463516,
-0.002106066094711423,
-0.0008380561484955251,
-0.07550055533647537,
-0.012435569427907467,
0.04143822565674782,
0.009602277539670467,
0.06740409135818481,
0.014212392270565033,
-0.042671915143728256,
0.04018757864832878,
0.01498586405068636,
0.044396575540304184,
0.0011324008228257298,
-0.011686558835208416,
0.03386005386710167,
-0.0038437030743807554,
-0.028197331354022026,
-0.02641071006655693,
0.05658549442887306,
-0.02069309912621975,
-0.05934779345989227,
0.00476960139349103,
-0.028290435671806335,
-0.023593099787831306,
0.010757445357739925,
-0.04042031243443489,
0.00831596925854683,
-0.00946286041289568,
-0.030311552807688713,
0.024229448288679123,
0.000004899366103927605,
-0.04252929240465164,
0.011396572925150394,
0.025648776441812515,
0.0011787470430135727,
-0.0004786440695170313,
-0.015222594141960144,
0.06938911229372025,
0.07221148908138275,
-0.02124030329287052,
-0.003306872909888625,
0.041519857943058014,
0.024927305057644844,
0.033661212772130966,
0.002835072111338377,
-0.016303567215800285,
-0.0076640271581709385,
-0.009731453843414783,
-0.017035260796546936,
-0.02669188566505909,
0.05918464437127113,
-0.03714417666196823,
-0.033075250685214996,
0.05494780093431473,
-0.04387848824262619,
0.1084231585264206,
0.011466707102954388,
0.02277274616062641,
0.02420685812830925,
-0.02027312107384205,
-0.019895266741514206,
-0.004477674141526222,
-0.04793718457221985,
-0.0013551698066294193,
0.0046791075728833675,
0.003432411467656493,
0.0534934401512146,
-0.062264345586299896,
0.011267037130892277,
-0.00721355713903904,
0.08319484442472458,
0.04976823180913925,
0.022788017988204956,
0.02025107480585575,
0.023102309554815292,
-0.0497279167175293,
-0.017118051648139954,
-0.11129183322191238,
-0.007358964066952467,
0.025653989985585213,
0.01673908717930317,
0.022971494123339653,
0.02650267630815506,
-0.050547193735837936,
0.041060689836740494,
-0.0019407288637012243,
-0.043464295566082,
0.03184668347239494,
0.03524734079837799,
0.022243918851017952,
-0.018019476905465126,
-0.033222731202840805,
0.03454199060797691,
0.07461453974246979,
-0.029503928497433662,
0.01426324900239706,
0.03202182054519653,
-0.06150923669338226,
0.01851663365960121,
-0.022389361634850502,
-0.009991954080760479,
0.04219459369778633,
0.010524026118218899,
-0.001458360580727458,
-0.02552672289311886,
0.018930407240986824,
0.04368152469396591,
0.060872744768857956,
0.03942890092730522,
-0.00508094672113657,
-0.02058754675090313,
-0.011818738654255867,
-0.01886364258825779,
0.026133835315704346,
-0.01855618692934513,
0.006905003450810909,
-0.006844831630587578,
-0.008798620663583279,
0.005720002111047506,
0.006484178360551596,
-0.26722821593284607,
-0.003474086057394743,
0.01626657135784626,
-0.01895604468882084,
0.027966048568487167,
0.017406057566404343,
0.07759080082178116,
-0.008133132942020893,
-0.03364606946706772,
0.022170333191752434,
0.03251668065786362,
0.003214038908481598,
0.009973660111427307,
0.05825316905975342,
0.07003854960203171,
0.01760135218501091,
0.012144307605922222,
-0.02308146469295025,
-0.010234339162707329,
0.0013938313350081444,
-0.01748398132622242,
-0.061268992722034454,
-0.0354764498770237,
-0.0033345320262014866,
-0.01338370330631733,
0.032579440623521805,
-0.06668876856565475,
-0.005500387866050005,
-0.05094170570373535,
-0.020519038662314415,
-0.014681150205433369,
-0.007205768954008818,
-0.04306098073720932,
0.014427960850298405,
0.03610369935631752,
0.0057612815871834755,
0.041937489062547684,
-0.02197146788239479,
0.0337408073246479,
0.022789115086197853,
-0.012068870477378368,
0.021880213171243668,
-0.036921292543411255,
-0.004365521017462015,
0.06431678682565689,
-0.01045413501560688,
-0.0009050274384208024,
-0.024379288777709007,
-0.00010952113370876759,
0.02159222960472107,
0.017418503761291504,
0.00717067439109087,
0.013381171971559525,
-0.01718667522072792,
0.009935499168932438,
0.002186812460422516,
0.017438586801290512,
0.013869459740817547,
-0.04588449001312256,
-0.01573427952826023,
0.03503790125250816,
-0.006934202276170254,
-0.004131526220589876,
-0.009165060706436634,
0.025444943457841873,
-0.037692707031965256,
-0.04000313580036163,
-0.07115435600280762,
0.05368086323142052,
-0.0010295826941728592,
-0.03967507928609848,
-0.04093150421977043,
-0.016815217211842537,
-0.12044943124055862,
-0.0028218552470207214,
0.05545388162136078,
-0.012402892112731934,
-0.033382005989551544,
0.01760600507259369,
0.014763482846319675,
-0.02590971812605858,
-0.04719432070851326,
-0.025937100872397423,
0.03226873651146889,
0.008504748344421387,
-0.0012379594845697284,
0.016070526093244553,
-0.0737747848033905,
-0.017482956871390343,
-0.022824201732873917,
0.04058544710278511,
-0.005278772208839655,
0.057941511273384094,
-0.0060751414857804775,
0.05585164204239845,
0.05348126217722893,
-0.0056289262138307095,
0.02465083636343479,
0.04958599805831909,
0.02350088767707348,
-0.00042733061127364635,
-0.11539403349161148,
-0.0026704163756221533,
0.0009809690527617931,
-0.0366111621260643,
0.01168441865593195,
-0.054837729781866074,
-0.011272737756371498,
0.036805491894483566,
-0.00693832291290164,
-0.01849261112511158,
-0.03158510848879814,
0.03295687586069107,
0.008871784433722496,
0.004828516859561205,
-0.010681086219847202,
0.005782998166978359,
0.05399015545845032,
0.01464337669312954,
0.03022015281021595,
-0.06382922828197479,
0.008430530317127705,
-0.05536588281393051,
0.015133851207792759,
-0.01985223777592182,
-0.011820158921182156,
0.0018548351945355535,
-0.006863785907626152,
0.05267656221985817,
-0.020516950637102127,
0.014373697340488434,
0.042537856847047806,
0.019976669922471046,
0.05349100008606911,
0.03287973999977112,
-0.016372552141547203,
-0.005615908652544022,
-0.027898527681827545,
0.015393227338790894,
-0.030511870980262756,
-0.010012941434979439,
-0.04687654227018356,
0.047953590750694275,
0.010798315517604351,
0.0521307997405529,
0.029738202691078186,
0.016589894890785217,
0.015408127568662167,
0.008609813638031483,
0.0005121162394061685,
0.04801451042294502,
-0.029688946902751923,
-0.0035656532272696495,
-0.029522409662604332,
0.006477070041000843,
-0.03515736013650894,
0.021175671368837357,
-0.023022150620818138,
0.04204866662621498,
-0.05202559381723404,
0.015359887853264809,
0.006528685335069895,
-0.031733445823192596,
-0.011252881027758121,
0.010532700456678867,
0.07116473466157913,
-0.034652113914489746,
0.0030852986965328455,
-0.0066198185086250305,
-0.005133672151714563,
-0.012197429314255714,
-0.04687488451600075,
-0.03036130964756012,
0.00384943513199687,
-0.020786132663488388,
0.023580817505717278,
-0.010385558009147644,
-0.07216589897871017,
-0.026217790320515633,
-0.0060113114304840565,
0.0008042767876759171,
-0.050129856914281845,
-0.012315317988395691,
-0.021979663521051407,
0.07531094551086426,
-0.02623652294278145,
0.02309146523475647,
-0.0379338264465332,
-0.014767047949135303,
-0.0005750700947828591,
0.014871029183268547,
0.016390575096011162,
-0.03478254750370979,
-0.032135967165231705,
-0.02548530139029026,
-0.05674261972308159,
0.021819688379764557,
-0.0021085261832922697,
-0.059259083122015,
-0.014098991639912128,
-0.00882305484265089,
0.004566569346934557,
-0.06136507913470268,
0.01623421162366867,
0.018485698848962784,
-0.054814666509628296,
-0.013153069652616978,
0.043892115354537964,
0.043871063739061356,
0.017033776268363,
-0.061526525765657425,
-0.03222762420773506,
-0.030693134292960167,
-0.003431102726608515,
-0.018676288425922394,
-0.004542463459074497,
0.005638062488287687,
-0.01576663739979267,
-0.04310723766684532,
-0.02641470730304718,
0.03543798625469208,
-0.004151052329689264,
-0.0002739671035669744,
-0.034385088831186295,
0.01612657867372036,
0.02382296323776245,
-0.019567694514989853,
-0.033672209829092026,
0.011834104545414448,
-0.046911679208278656,
0.010186229832470417,
-0.03929900750517845,
0.002300074091181159,
0.03828870877623558,
-0.013298110105097294,
-0.0006243568495847285,
-0.019939260557293892,
0.028802204877138138,
-0.012035357765853405,
-0.03737629950046539,
-0.004965213593095541,
-0.03908172994852066,
-0.020268874242901802,
-0.02542334794998169,
0.013357918709516525,
0.01255674660205841,
0.0248271431773901,
-0.011909072287380695,
0.03906506299972534,
-0.0008931257179938257,
0.006250344682484865,
-0.009748145937919617,
-0.04953302815556526,
0.002241503680124879,
0.04991580918431282,
-0.02489442750811577,
-0.02186799794435501,
-0.07234705984592438,
0.004625480156391859,
0.012750995345413685,
-0.022899668663740158,
0.0270561370998621,
-0.048748262226581573,
0.027609197422862053,
-0.01077777799218893,
0.06312844157218933,
0.03986049443483353,
-0.051647160202264786,
0.04305950924754143,
-0.0658559799194336,
0.0312785878777504,
-0.04261220619082451,
0.012048049829900265,
0.02528212033212185,
-0.06115192547440529,
0.003278230084106326,
0.02546229399740696,
-0.009123933501541615,
0.02577156201004982,
-0.03399141877889633,
-0.0531221441924572,
0.025215554982423782,
-0.0282365120947361,
-0.024401847273111343,
0.0177654717117548,
-0.05783215910196304,
-0.0170790683478117,
0.013359857723116875,
-0.04424440115690231,
0.03174540773034096,
0.0028096549212932587,
0.055115241557359695,
-0.005236285272985697,
0.030872974544763565,
0.009921960532665253,
-0.007881419733166695,
0.017225759103894234,
0.059321317821741104,
-0.0011366159887984395,
0.03699631243944168,
-0.049500834196805954,
0.07188820093870163,
0.02573619782924652,
0.029293488711118698,
0.013003135100007057,
0.012023610062897205,
-0.02466392330825329,
-0.030839217826724052,
0.04034324362874031,
0.005291491746902466,
-0.022091016173362732,
-0.07799245417118073,
0.05249103531241417,
0.0026380575727671385,
-0.03567253053188324,
0.005484956316649914,
0.023530570790171623,
-0.04472615197300911,
-0.02242060750722885,
0.002677886513993144,
-0.011430870741605759,
0.008176876232028008,
0.073157899081707,
0.013916577212512493,
0.051453638821840286,
0.05959143489599228,
0.044918492436409,
0.002878133673220873,
-0.057240236550569534,
0.06198149174451828,
0.0630413070321083,
0.035320065915584564,
-0.005278013646602631,
0.09117501229047775,
-0.025587014853954315,
-0.0228359904140234,
0.025204027071595192,
0.024399297311902046,
-0.03325248882174492,
-0.03331029415130615,
0.04037544131278992,
0.08245012909173965,
-0.00254999753087759,
0.06492739170789719,
-0.041501883417367935,
-0.007607572246342897,
0.08488065749406815,
0.04861406236886978,
-0.014052161015570164,
0.05224943161010742,
0.01504810806363821,
0.03771482780575752,
-0.029400503262877464,
-0.0611296109855175,
-0.022486386820673943,
-0.03563106432557106,
0.009297847747802734,
-0.013091330416500568,
-0.04446844756603241,
0.017726412042975426,
0.021856997162103653,
0.012124779634177685,
0.10034182667732239,
-0.00829770602285862,
-0.030925897881388664,
0.019648637622594833,
0.01530824787914753,
0.0049644820392131805,
0.036187734454870224,
0.025096148252487183,
0.014639733359217644,
0.00929478369653225,
-0.05159171298146248,
0.028466718271374702,
0.02279617451131344,
-0.013859161175787449,
0.042273346334695816,
-0.018727367743849754,
-0.025777475908398628,
0.035354699939489365,
-0.0009298273362219334,
-0.030303286388516426,
-0.049279630184173584,
-0.011820586398243904,
-0.010084418579936028,
-0.050179462879896164,
-0.02408255636692047,
0.046344026923179626,
-0.01334218867123127,
-0.035509105771780014,
0.032331086695194244,
-0.005653770174831152,
0.01267513819038868,
0.011441039852797985,
-0.06829438358545303,
-0.028699830174446106,
0.05623169243335724,
-0.01889743283390999,
0.005937756504863501,
0.021804071962833405,
0.03556548058986664,
-0.02155207097530365,
-0.020395513623952866,
-0.000014988383554737084,
0.019780773669481277,
0.002019816543906927,
-0.031031513586640358,
-0.04600406438112259,
-0.06883148849010468,
0.01089607272297144,
0.007679854054003954,
-0.036557842046022415,
-0.08431306481361389,
0.005949920043349266,
-0.051645826548337936,
-0.005424028728157282,
0.06516644358634949,
-0.018888194113969803,
0.03658517077565193,
-0.032615214586257935,
-0.011782227084040642,
0.03894979506731033,
0.005753285251557827,
0.03511503338813782,
-0.057387106120586395,
0.06652822345495224,
0.05955331400036812,
-0.053736455738544464,
-0.0218222513794899,
0.03703262656927109,
-0.010623562149703503,
-0.045184746384620667,
-0.02891417406499386,
-0.050778139382600784,
-0.025765448808670044,
-0.11666076630353928,
-0.03610297664999962,
0.04593326523900032,
0.024421341717243195,
-0.06282778084278107,
-0.002488372614607215,
-0.02962738461792469,
0.030081400647759438,
-0.009791969321668148,
-0.027409033849835396,
-0.00039302639197558165,
-0.02515772543847561,
-0.015805060043931007,
-0.03865828365087509,
0.042659860104322433,
-0.02939739264547825,
0.009005634114146233,
-0.06072872877120972,
-0.03588058054447174,
0.0131195317953825,
0.006452041212469339,
0.02696891501545906,
-0.006397610064595938,
0.03744146600365639,
-0.03523710370063782
] | null |
503 |
CoastalBench: A Decade-Long High-Resolution Dataset to Emulate Complex Coastal Processes
|
https://openreview.net/forum?id=h3EEUJaMLu
|
[
"Zelin Xu",
"Yupu Zhang",
"Tingsong Xiao",
"Maitane Olabarrieta Lizaso",
"Jose M. Gonzalez-Ondina",
"Zibo Liu",
"Shigang Chen",
"Zhe Jiang"
] |
Poster
|
Over 40\% of the global population lives within 100 kilometers of the coast, which contributes more than \$8 trillion annually to the global economy. Unfortunately, coastal ecosystems are increasingly vulnerable to more frequent and intense extreme weather events and rising sea levels. Coastal scientists use numerical models to simulate complex physical processes, but these models are often slow and expensive. In recent years, deep learning has become a promising alternative to reduce the cost of numerical models. However, progress has been hindered by the lack of a large-scale, high-resolution coastal simulation dataset to train and validate deep learning models. Existing studies often focus on relatively small datasets and simple processes. To fill this gap, we introduce a decade-long, high-resolution (<100m) coastal circulation modeling dataset on a real-world 3D mesh in southwest Florida with around 6 million cells. The dataset contains key oceanography variables (e.g., current velocities, free surface level, temperature, salinity) alongside external atmospheric and river forcings. We evaluated a customized Vision Transformer model that takes initial and boundary conditions and external forcings and predicts ocean variables at varying lead times. The dataset provides an opportunity to benchmark novel deep learning models for high-resolution coastal simulations (e.g., physics-informed machine learning, neural operator learning).
The code and dataset can be accessed at https://github.com/spatialdatasciencegroup/CoastalBench.
|
Coastal Processes, Dataset, Benchmark
| null | 13,347 | null |
[
-0.030629750341176987,
-0.07549633085727692,
-0.017408307641744614,
0.015400130301713943,
0.04935475438833237,
0.01296411082148552,
0.0022827740758657455,
0.0013431999832391739,
-0.06011909246444702,
-0.05353967100381851,
0.015529640018939972,
-0.0006672687595710158,
-0.044670119881629944,
0.01054988894611597,
-0.006327254232019186,
0.045410897582769394,
0.022380171343684196,
0.007332291454076767,
0.02130323462188244,
0.042558129876852036,
-0.026369478553533554,
-0.02697937935590744,
0.0025193083565682173,
0.05687004327774048,
0.017371980473399162,
-0.022502582520246506,
0.04094817489385605,
0.01583774946630001,
-0.017657801508903503,
0.010998950339853764,
0.026148898527026176,
-0.013510312885046005,
-0.00199296697974205,
-0.004003169015049934,
0.0058218310587108135,
0.003574832109734416,
-0.07156965881586075,
-0.011767230927944183,
-0.026230668649077415,
0.0017772658029571176,
-0.04129745066165924,
0.01803954504430294,
0.01288546621799469,
0.012208620086312294,
-0.030459847301244736,
0.06578376144170761,
-0.07523257285356522,
0.03401372581720352,
0.04180522263050079,
0.018007792532444,
-0.11012289673089981,
0.03732253611087799,
-0.01229560561478138,
-0.025341002270579338,
-0.030737750232219696,
0.027529021725058556,
-0.0011478587985038757,
-0.0616847425699234,
0.005115948151797056,
-0.07260895520448685,
0.008858219720423222,
0.019714565947651863,
0.003570032771676779,
-0.022516848519444466,
0.010573840700089931,
-0.03681320324540138,
0.0004370451206341386,
0.03420029953122139,
-0.04216223582625389,
-0.02128402329981327,
0.007358417846262455,
0.0028513569850474596,
0.021318793296813965,
-0.012203466147184372,
-0.022462017834186554,
-0.0486781932413578,
-0.00024531068629585207,
0.005487615242600441,
0.08124746382236481,
-0.017647620290517807,
0.006963894236832857,
-0.006805760320276022,
0.026087718084454536,
0.03234541043639183,
-0.0020972301717847586,
0.016766082495450974,
-0.027714071795344353,
-0.03056754171848297,
-0.08165467530488968,
0.049955472350120544,
-0.00560543080791831,
-0.03976345434784889,
0.056319791823625565,
0.0400003083050251,
0.011914423666894436,
0.038807157427072525,
0.002389926463365555,
0.03727317973971367,
0.010752687230706215,
0.02131424844264984,
-0.04644199460744858,
-0.010781599208712578,
0.03462975472211838,
0.06639238446950912,
-0.07950282841920853,
-0.0249932948499918,
-0.02755304053425789,
-0.0177064910531044,
-0.025102538987994194,
0.025655696168541908,
-0.013047073036432266,
-0.008589335717260838,
-0.0000646218322799541,
-0.01106790266931057,
-0.07652834802865982,
0.05496453121304512,
0.03463151305913925,
0.006498983129858971,
-0.003948193043470383,
-0.023518141359090805,
0.0745786726474762,
0.050737038254737854,
-0.012717892415821552,
0.046315234154462814,
-0.013725866563618183,
0.03760921210050583,
0.02622380666434765,
0.014872437343001366,
-0.028613785281777382,
-0.029043622314929962,
0.02026453986763954,
0.041196309030056,
-0.03703881800174713,
0.0023507720325142145,
-0.007123748771846294,
0.005942904390394688,
-0.005086157005280256,
0.03051421046257019,
0.06962572783231735,
0.03531436622142792,
0.029585013166069984,
-0.03591378033161163,
0.056995268911123276,
-0.0751708447933197,
0.054893288761377335,
0.008851129561662674,
0.03135892376303673,
-0.030992375686764717,
-0.03042297065258026,
0.004922765307128429,
0.019773945212364197,
0.02224721945822239,
-0.02196684665977955,
-0.03777332231402397,
0.03263869136571884,
0.044080838561058044,
0.01088715996593237,
0.01411495916545391,
0.00044153319322504103,
-0.02547210268676281,
0.031583577394485474,
-0.01757068745791912,
-0.011768505908548832,
0.00005495122240972705,
-0.017195481806993484,
-0.04311858117580414,
0.06489531695842743,
0.013805477879941463,
-0.0147275784984231,
0.01805398240685463,
-0.050001177936792374,
-0.03475167229771614,
0.047716863453388214,
0.027145912870764732,
0.02505858801305294,
-0.012445804663002491,
0.06309910118579865,
0.00588880805298686,
0.03217281401157379,
0.015407785773277283,
-0.07139211148023605,
0.02172173373401165,
0.008830532431602478,
-0.029513373970985413,
0.02706224098801613,
-0.034313760697841644,
0.08567862957715988,
-0.02298281155526638,
0.03932322561740875,
0.02744215913116932,
-0.0628238171339035,
-0.04535526782274246,
0.0316644124686718,
0.010258393362164497,
0.05143887177109718,
-0.011940398253500462,
-0.004826179705560207,
0.04317231476306915,
0.026886586099863052,
0.05228184908628464,
0.009613631293177605,
-0.01133944746106863,
0.04840967059135437,
-0.014791815541684628,
-0.03069620579481125,
-0.016862113028764725,
0.04612390324473381,
-0.032445091754198074,
-0.04044906795024872,
-0.013704940676689148,
-0.02552228979766369,
-0.021779468283057213,
0.018333399668335915,
-0.0006094918353483081,
0.009564588777720928,
0.00949801318347454,
-0.012998676858842373,
0.0026540937833487988,
0.0188058502972126,
-0.046965572983026505,
0.03902428224682808,
0.030038440600037575,
-0.015034960582852364,
0.011468985117971897,
-0.011379282921552658,
0.060483526438474655,
0.09180953353643417,
-0.029760241508483887,
0.00016048652469180524,
0.005998469423502684,
0.0056853992864489555,
0.017916109412908554,
-0.0031038105953484774,
-0.04083103686571121,
0.015030551701784134,
-0.008436938747763634,
0.01903236284852028,
0.0015889679780229926,
0.04960480332374573,
-0.051764342933893204,
-0.01772479899227619,
0.04482606053352356,
0.0034522023051977158,
0.06918125599622726,
0.013914804905653,
-0.007127488497644663,
0.06545501947402954,
-0.009401188232004642,
-0.042344771325588226,
-0.04088432341814041,
0.002593583194538951,
0.015045140869915485,
-0.002940751612186432,
0.0017853581812232733,
0.0019724243320524693,
-0.0858725756406784,
-0.02138279192149639,
0.003000078024342656,
0.05575448274612427,
0.026497535407543182,
-0.00626799650490284,
0.027243945747613907,
0.0038472595624625683,
-0.012838661670684814,
-0.0071642110124230385,
-0.1320057064294815,
-0.028462974354624748,
-0.021173888817429543,
0.04700375348329544,
-0.00940006785094738,
0.04443563148379326,
0.008184341713786125,
0.023918628692626953,
-0.02739182487130165,
-0.024193568155169487,
0.010382995009422302,
0.048699527978897095,
-0.007919351570308208,
-0.031190885230898857,
0.006285966373980045,
0.02309579588472843,
0.0464274100959301,
-0.017927316948771477,
-0.009352453052997589,
0.01276671327650547,
-0.05381173640489578,
-0.006114278919994831,
-0.045648448169231415,
0.020133178681135178,
-0.0006915890844538808,
0.024483049288392067,
-0.01716672256588936,
-0.017211709171533585,
0.014584296382963657,
0.04331466555595398,
0.06795340776443481,
0.02926279790699482,
-0.011394345201551914,
-0.02673010155558586,
0.00875378493219614,
-0.01142287626862526,
0.011328838765621185,
-0.017607226967811584,
0.026175862178206444,
-0.018926721066236496,
0.030096212401986122,
0.0027855760417878628,
0.010716082528233528,
-0.2845185101032257,
0.0012828492326661944,
0.03343959152698517,
-0.019636446610093117,
0.02346167340874672,
-0.006973387207835913,
0.03783818706870079,
-0.035285647958517075,
-0.02273939549922943,
0.010169830173254013,
0.00012604148651007563,
0.022059563547372818,
-0.0014495827490463853,
0.06980982422828674,
0.03678623214364052,
0.018773263320326805,
0.039088066667318344,
-0.030161429196596146,
0.01383624505251646,
0.010383930057287216,
-0.02629585936665535,
-0.055414553731679916,
-0.016391703858971596,
0.019695991650223732,
-0.012258684262633324,
0.03539913520216942,
-0.0583515428006649,
-0.01388581097126007,
-0.04439273476600647,
0.006700827740132809,
-0.007504011504352093,
-0.030628705397248268,
0.028644420206546783,
0.0403921939432621,
0.02367028221487999,
0.005393275525420904,
0.029855651780962944,
0.04859064519405365,
0.04184191673994064,
-0.0446934849023819,
-0.04120563343167305,
-0.03994449973106384,
-0.0621524415910244,
0.013335739262402058,
0.05915826931595802,
0.002587714930996299,
0.0053105587139725685,
-0.006311900448054075,
-0.00563638424500823,
0.040176209062337875,
-0.03117162548005581,
-0.019230004400014877,
-0.004263205453753471,
-0.004325098358094692,
-0.01700751483440399,
-0.030200455337762833,
0.0035610354971140623,
0.01234576664865017,
-0.02830289676785469,
0.019717087969183922,
-0.0012828694889321923,
-0.02922365814447403,
-0.04059417545795441,
-0.04334590584039688,
-0.006506434176117182,
-0.051101528108119965,
-0.10185171663761139,
-0.07388566434383392,
0.019499870017170906,
0.04995933175086975,
-0.0037232162430882454,
0.009889292530715466,
-0.03145747259259224,
-0.11967336386442184,
-0.025118950754404068,
-0.011199461296200752,
-0.010768902488052845,
-0.06521926075220108,
0.026107756420969963,
-0.003941008821129799,
-0.03785502538084984,
-0.033065758645534515,
0.0005778748891316354,
0.05974813178181648,
0.004412241745740175,
-0.03363649919629097,
0.009034994058310986,
-0.0336601585149765,
-0.024531735107302666,
-0.02115723490715027,
0.048873476684093475,
-0.009016643278300762,
0.046141352504491806,
-0.0509854294359684,
0.04487305507063866,
0.040716033428907394,
0.004150638356804848,
0.055235736072063446,
0.03694237023591995,
-0.02445852756500244,
0.023958837613463402,
-0.05158747732639313,
-0.00388372503221035,
-0.06064387038350105,
-0.035060834139585495,
-0.00241065863519907,
-0.0006770897307433188,
-0.004701122175902128,
0.037354420870542526,
0.036686550825834274,
0.009548249654471874,
-0.0351434201002121,
0.02084428071975708,
-0.027855800464749336,
0.0046279216185212135,
0.005341623909771442,
0.008127111941576004,
0.04434029012918472,
0.10804088413715363,
-0.0024909719359129667,
-0.0041294279508292675,
0.039920710027217865,
0.012802768498659134,
-0.008546297438442707,
0.010482937097549438,
-0.028429817408323288,
0.001079321256838739,
0.006910607684403658,
-0.016865605488419533,
0.026851162314414978,
0.030176082625985146,
0.05565247684717178,
0.010201575234532356,
0.017689328640699387,
0.04943063110113144,
0.018398720771074295,
-0.02275894209742546,
-0.00004353780605015345,
0.04404328018426895,
0.009119388647377491,
-0.011577466502785683,
-0.020422130823135376,
0.054473817348480225,
0.032669547945261,
0.03690251708030701,
0.05380353704094887,
-0.0028292881324887276,
0.03162766993045807,
0.03576187416911125,
-0.012264757417142391,
0.017287863418459892,
-0.032757580280303955,
-0.054431457072496414,
-0.03505680337548256,
-0.006634252145886421,
-0.031192617490887642,
0.03355537727475166,
-0.021535024046897888,
0.003123560221865773,
-0.08521319180727005,
0.05676469951868057,
-0.02083602547645569,
-0.0553353913128376,
-0.02680276893079281,
0.0060238465666770935,
0.07867137342691422,
-0.01770108751952648,
-0.007024246267974377,
0.022476142272353172,
-0.012111770920455456,
0.02469799667596817,
-0.023983299732208252,
-0.036699943244457245,
-0.02486003004014492,
-0.054198943078517914,
0.03509772568941116,
-0.013014893047511578,
-0.017990222200751305,
-0.014876829460263252,
0.03253835439682007,
0.004872146062552929,
-0.014204896986484528,
0.011769850738346577,
0.009827710688114166,
0.06809970736503601,
0.002490561455488205,
-0.03537820279598236,
-0.011979462578892708,
-0.03248009458184242,
0.030051499605178833,
0.01357672456651926,
0.03430480509996414,
-0.015309256501495838,
-0.02157379314303398,
-0.05326000601053238,
-0.04821084067225456,
0.039522603154182434,
0.02335592545568943,
-0.017237277701497078,
0.01514722965657711,
-0.03874587640166283,
0.007385609671473503,
-0.03995472937822342,
0.018690520897507668,
-0.0004577191430144012,
-0.0680965855717659,
0.009913607500493526,
0.01182086206972599,
0.013213003985583782,
-0.001987403491511941,
-0.036825619637966156,
-0.020624859258532524,
-0.052091944962739944,
0.02273174561560154,
-0.015495426952838898,
-0.009814543649554253,
-0.026539338752627373,
-0.03586079552769661,
-0.002168169943615794,
-0.022804567590355873,
-0.007922395132482052,
0.03080570138990879,
-0.008669423870742321,
-0.039283521473407745,
-0.023786453530192375,
0.06822407990694046,
-0.013376759365200996,
0.015371802262961864,
0.006420292891561985,
-0.009190818294882774,
0.028903136029839516,
-0.03484521433711052,
0.014063150621950626,
0.033360421657562256,
0.01783663034439087,
0.0032031650189310312,
-0.01945498026907444,
0.018605098128318787,
0.016948683187365532,
0.010666041634976864,
-0.027248438447713852,
0.006093150470405817,
-0.03866537660360336,
0.008096510544419289,
0.017004547640681267,
0.01457247044891119,
-0.019128642976284027,
0.03058728389441967,
0.0007860459154471755,
0.012285973876714706,
0.007869265042245388,
-0.006961850915104151,
-0.02705206349492073,
-0.02847851626574993,
0.04849196970462799,
-0.0597158744931221,
-0.02973749302327633,
-0.08654772490262985,
-0.04321708902716637,
0.004318784456700087,
-0.00011969089246122167,
0.03296902775764465,
-0.04782960191369057,
0.07511579990386963,
0.014420954510569572,
0.008029836229979992,
-0.002423645695671439,
-0.04635508731007576,
0.05648167431354523,
-0.040978558361530304,
-0.007533661089837551,
-0.07198821008205414,
-0.03164977580308914,
0.04365658760070801,
-0.025127293542027473,
0.018504392355680466,
0.04229747876524925,
-0.04843882843852043,
0.0644439309835434,
-0.05440462380647659,
-0.05743780732154846,
0.049887001514434814,
-0.02648170292377472,
-0.027551967650651932,
0.005477959755808115,
-0.03057468682527542,
-0.005899504758417606,
-0.014901814982295036,
-0.031033998355269432,
-0.043793510645627975,
0.04216371476650238,
0.0034518095199018717,
-0.04683047905564308,
0.006586599163711071,
-0.020426588132977486,
0.03147825971245766,
0.007593966089189053,
0.051624417304992676,
0.005752253346145153,
0.018548520281910896,
-0.04584025591611862,
0.09994498640298843,
-0.004774174187332392,
0.005684318952262402,
0.008051682263612747,
-0.01651463285088539,
-0.007280657067894936,
-0.03936690837144852,
0.029532194137573242,
0.04246765375137329,
0.0005238678422756493,
-0.08301462978124619,
0.03740701079368591,
0.02277023158967495,
-0.050845976918935776,
0.02229207381606102,
0.02315259911119938,
-0.055202189832925797,
0.022826148197054863,
0.0038381388876587152,
0.0003570607805158943,
-0.00014740313054062426,
0.038823653012514114,
-0.002063901862129569,
0.05258125066757202,
0.06325045973062515,
-0.010997861623764038,
-0.010674365796148777,
0.03834184259176254,
0.10097640007734299,
0.05611535161733627,
0.01595478318631649,
0.007352879736572504,
0.059801552444696426,
-0.024632073938846588,
-0.029476884752511978,
0.04798488691449165,
0.01590663008391857,
-0.032205820083618164,
-0.03759586066007614,
0.022035788744688034,
0.08487951010465622,
0.05108675733208656,
0.040590446442365646,
-0.036738794296979904,
-0.02785152569413185,
0.0012689211871474981,
0.014256973750889301,
0.007375632878392935,
0.029355408623814583,
0.005809272639453411,
-0.016211073845624924,
0.010388974100351334,
-0.03078063204884529,
-0.013424412347376347,
0.008894502185285091,
-0.015629058703780174,
0.0057626753114163876,
0.009923586621880531,
0.0004244336159899831,
-0.02513432875275612,
0.05919359624385834,
0.06240330636501312,
0.01069044228643179,
-0.05474594235420227,
0.013892077840864658,
0.019855570048093796,
0.018882961943745613,
0.020592644810676575,
0.037429600954055786,
0.01941000483930111,
0.008190521970391273,
-0.024588294327259064,
0.01660206913948059,
-0.016369672492146492,
-0.007151083555072546,
-0.008983015082776546,
-0.029104508459568024,
-0.049928221851587296,
0.008149371482431889,
-0.0034887222573161125,
-0.06192298233509064,
-0.04163544252514839,
-0.03430686146020889,
-0.030649108812212944,
-0.05812403932213783,
-0.027344899252057076,
0.02323802560567856,
-0.005635317414999008,
-0.009631938301026821,
-0.01675003580749035,
-0.0333440862596035,
-0.022237664088606834,
0.06331516802310944,
-0.06180809065699577,
-0.006058689206838608,
0.06683935225009918,
0.003813169663771987,
0.00567271513864398,
0.013696815818548203,
0.012582358904182911,
-0.019698692485690117,
-0.03225235268473625,
0.041571855545043945,
0.0005368597339838743,
0.0341341458261013,
0.015014756470918655,
-0.019171595573425293,
-0.07974949479103088,
-0.004062825348228216,
0.042785536497831345,
0.0020093144848942757,
-0.06843404471874237,
0.05412839353084564,
-0.03450041264295578,
0.03479866310954094,
0.06132650747895241,
-0.019439496099948883,
0.029220791533589363,
-0.039717864245176315,
-0.04314970597624779,
-0.03491237014532089,
-0.03667708858847618,
0.06084909290075302,
-0.023906681686639786,
0.05465070530772209,
0.020140403881669044,
-0.01890760473906994,
-0.021529242396354675,
0.029782438650727272,
-0.01604713313281536,
-0.01973356120288372,
-0.05449942126870155,
0.010413529351353645,
-0.01608414202928543,
-0.1034374088048935,
-0.012042738497257233,
0.03314633667469025,
-0.009220877662301064,
-0.034882064908742905,
0.0007708045886829495,
0.005957942456007004,
0.011545832268893719,
-0.013277416117489338,
-0.008414750918745995,
-0.05172911286354065,
-0.040727484971284866,
-0.04453723877668381,
-0.07445616275072098,
0.02834729664027691,
0.021919844672083855,
0.0006163153448142111,
-0.015839366242289543,
-0.01592882163822651,
-0.006785519886761904,
-0.01840386353433132,
0.007845706306397915,
-0.012889306992292404,
0.020901987329125404,
-0.05018770322203636
] |
https://github.com/spatialdatasciencegroup/CoastalBench
|
504 |
Improved Algorithm for Deep Active Learning under Imbalance via Optimal Separation
|
https://openreview.net/forum?id=rm2WHra1fB
|
[
"Shyam Nuggehalli",
"Jifan Zhang",
"Lalit K Jain",
"Robert D Nowak"
] |
Poster
|
Class imbalance severely impacts machine learning performance on minority classes in real-world applications. While various solutions exist, active learning offers a fundamental fix by strategically collecting balanced, informative labeled examples from abundant unlabeled data. We introduce DIRECT, an algorithm that identifies class separation boundaries and selects the most uncertain nearby examples for annotation. By reducing the problem to one-dimensional active learning, DIRECT leverages established theory to handle batch labeling and label noise -- another common challenge in data annotation that particularly affects active learning methods.
Our work presents the first comprehensive study of active learning under both class imbalance and label noise. Extensive experiments on imbalanced datasets show DIRECT reduces annotation costs by over 60\% compared to state-of-the-art active learning methods and over 80\% versus random sampling, while maintaining robustness to label noise.
|
Deep Learning, Active Labeling, Class Imbalance
| null | 13,344 |
2312.09196
|
[
-0.025711914524435997,
-0.024876484647393227,
-0.01784900762140751,
0.0028519195038825274,
-0.0014674441190436482,
0.006452478934079409,
0.010248472914099693,
-0.03179484233260155,
-0.029876796528697014,
-0.023402391001582146,
-0.027734199538826942,
-0.0032005817629396915,
-0.08395478874444962,
0.004380464553833008,
0.009553822688758373,
0.034729521721601486,
0.0490790456533432,
-0.0009544309577904642,
-0.0025823903270065784,
0.04613128677010536,
-0.02004328928887844,
-0.04941420629620552,
0.03146912902593613,
0.022177135571837425,
0.014020757749676704,
-0.012814374640583992,
0.0001945736148627475,
0.0005443687550723553,
-0.020050035789608955,
-0.012922430410981178,
0.05043318495154381,
-0.0016675371443852782,
0.025124970823526382,
0.0037097183521836996,
0.03911846503615379,
0.04563622176647186,
-0.016874318942427635,
0.008128289133310318,
-0.006078934762626886,
0.013999885879456997,
-0.03674280270934105,
0.021682962775230408,
-0.023258138447999954,
0.04656972736120224,
-0.09100421518087387,
0.0406808964908123,
-0.12785077095031738,
0.016125401481986046,
-0.011051335372030735,
-0.03785659745335579,
-0.10435617715120316,
0.04300358146429062,
0.0019454265711829066,
-0.015189305879175663,
-0.014003614895045757,
0.03610069677233696,
0.014980210922658443,
-0.049339380115270615,
-0.0011161752045154572,
-0.05558538809418678,
0.003044110955670476,
0.028478335589170456,
-0.0008828897261992097,
-0.02285507693886757,
-0.010959548875689507,
-0.020806124433875084,
0.01519555039703846,
0.041322700679302216,
-0.0389568917453289,
-0.01972450129687786,
-0.01694297231733799,
0.005096940789371729,
-0.015700820833444595,
0.019048258662223816,
-0.012494559399783611,
-0.0402664877474308,
-0.016471300274133682,
0.03160190209746361,
0.07960832118988037,
-0.0011862764367833734,
0.003266999963670969,
0.016688141971826553,
0.028880085796117783,
0.032125234603881836,
0.01605023257434368,
-0.0070894742384552956,
-0.030565179884433746,
-0.029979215934872627,
-0.08720503747463226,
0.037408243864774704,
-0.03467337787151337,
-0.025935828685760498,
0.06247308850288391,
0.039592478424310684,
0.013304510153830051,
0.00850665383040905,
0.030320679768919945,
-0.009114461950957775,
0.022142421454191208,
-0.018997736275196075,
-0.013268480077385902,
-0.02895333431661129,
0.03225816413760185,
0.027012597769498825,
-0.08693215996026993,
-0.028911827132105827,
-0.015025134198367596,
-0.025585146620869637,
0.011205358430743217,
0.02600312978029251,
-0.05859384313225746,
-0.01123520452529192,
0.00816204585134983,
-0.044034335762262344,
-0.09694355726242065,
0.023299170657992363,
-0.005942308809608221,
0.03961842507123947,
0.014304411597549915,
-0.00036424666177481413,
0.04336177557706833,
0.10498927533626556,
0.015977192670106888,
0.08029031753540039,
-0.010184179060161114,
0.0044576083309948444,
0.003738107392564416,
0.031571418046951294,
-0.03973552584648132,
-0.030972547829151154,
-0.01934547908604145,
0.036995235830545425,
0.017992673441767693,
0.03512515872716904,
0.014910761266946793,
-0.01258013490587473,
0.02414633519947529,
0.005266525316983461,
0.04075019061565399,
-0.01883913204073906,
-0.006528582889586687,
-0.03392849117517471,
0.03737650439143181,
-0.018462223932147026,
0.03104350157082081,
-0.038544103503227234,
-0.01282517984509468,
-0.019382188096642494,
-0.039640188217163086,
-0.017976563423871994,
-0.015591025352478027,
-0.03343946859240532,
-0.019066154956817627,
-0.05485690012574196,
0.014677749015390873,
0.04469715431332588,
-0.000731335545424372,
0.036933790892362595,
0.012512949295341969,
0.011869526468217373,
0.033893320709466934,
0.012664367444813251,
-0.00568114360794425,
0.0006756664952263236,
-0.005030355416238308,
-0.06852907687425613,
0.07439171522855759,
0.050004296004772186,
-0.05117206647992134,
0.028634309768676758,
-0.04024866968393326,
-0.029723811894655228,
0.04224438965320587,
-0.005716351792216301,
-0.010835238732397556,
0.009857559576630592,
0.04904627054929733,
-0.004246541298925877,
0.031679872423410416,
0.044385407119989395,
-0.09398403763771057,
0.026912635192275047,
0.014619804918766022,
0.0031223364640027285,
0.011816934682428837,
0.0012103125918656588,
0.07229792326688766,
-0.04569527879357338,
0.03955217823386192,
0.01418079063296318,
-0.04076167568564415,
-0.008660934865474701,
0.017871053889393806,
-0.013912578113377094,
0.054663658142089844,
0.018265968188643456,
0.015748700127005577,
0.004840375389903784,
0.014144979417324066,
0.06585945934057236,
0.0557955838739872,
-0.01581628993153572,
0.03460643067955971,
-0.015657484531402588,
-0.03845493122935295,
0.0010342960013076663,
0.023701539263129234,
-0.06391177326440811,
-0.012094219215214252,
0.009704525582492352,
-0.03452634438872337,
0.0005153777310624719,
0.007275878917425871,
0.00832775142043829,
0.04482578486204147,
-0.01140369288623333,
-0.0023668413050472736,
-0.013116423971951008,
0.014619169756770134,
-0.05649520829319954,
0.04775485023856163,
0.01765923947095871,
-0.022405073046684265,
0.024172205477952957,
-0.012337072752416134,
0.07549913972616196,
0.05264829844236374,
-0.012835795991122723,
0.005824397783726454,
0.005441111046820879,
0.021336808800697327,
0.022227510809898376,
-0.005902174860239029,
-0.0015194689622148871,
-0.020220831036567688,
-0.018375705927610397,
-0.021736156195402145,
-0.04083575680851936,
0.0965389534831047,
-0.03546125069260597,
-0.013259544968605042,
0.04095369949936867,
-0.0035939933732151985,
0.07337076961994171,
0.014057339169085026,
0.004138616379350424,
0.06278598308563232,
0.024639582261443138,
-0.016499733552336693,
-0.04331493750214577,
-0.016919858753681183,
0.00841464102268219,
-0.032890867441892624,
-0.046959806233644485,
0.0009744986309669912,
-0.06489947438240051,
-0.015435044653713703,
-0.02489735186100006,
0.05936364457011223,
0.05004584416747093,
0.002183967037126422,
0.03163888305425644,
-0.005389094352722168,
-0.054382022470235825,
-0.023734984919428825,
-0.13784420490264893,
-0.021271923556923866,
0.019239170476794243,
0.0615091510117054,
0.013131818734109402,
0.04217059910297394,
0.023005913943052292,
0.04097890108823776,
0.0010629657190293074,
-0.0279399361461401,
0.0233906339854002,
0.03809710964560509,
0.0330449640750885,
-0.042193688452243805,
-0.01790887489914894,
0.0008077692473307252,
0.07570689171552658,
0.008198642171919346,
-0.02362583763897419,
-0.020059870555996895,
-0.06682692468166351,
-0.004094952251762152,
-0.04072443023324013,
-0.01801898702979088,
0.032988134771585464,
0.0018376961816102266,
0.015558192506432533,
-0.044041719287633896,
0.002995795337483287,
0.05094105750322342,
0.05499241501092911,
0.025846758857369423,
0.01677926443517208,
-0.04242720454931259,
0.025076542049646378,
-0.010027674026787281,
0.02037213370203972,
-0.009915431961417198,
0.004524244926869869,
-0.004281647969037294,
-0.020183512941002846,
0.024009179323911667,
0.001070024212822318,
-0.29518285393714905,
-0.024372581392526627,
0.018359072506427765,
-0.01543749775737524,
0.02594163455069065,
-0.03506571054458618,
0.028098134323954582,
-0.008400033228099346,
-0.033544834703207016,
0.012942026369273663,
-0.004138082731515169,
0.022826675325632095,
0.04047815129160881,
0.06365976482629776,
0.042233262211084366,
0.050442732870578766,
0.023579925298690796,
-0.04625837877392769,
0.018055548891425133,
0.051999881863594055,
-0.030609995126724243,
-0.04990673437714577,
-0.025763023644685745,
0.06160673499107361,
-0.019076967611908913,
0.03120691329240799,
-0.06370570510625839,
-0.013124861754477024,
-0.047224633395671844,
-0.030623745173215866,
-0.023599473759531975,
-0.04061694070696831,
-0.040006108582019806,
0.039878182113170624,
0.02782716043293476,
-0.02948928065598011,
0.027613725513219833,
0.00468792300671339,
0.00652297493070364,
0.016793634742498398,
0.01206209510564804,
0.01786188594996929,
0.006312526762485504,
0.019782014191150665,
0.053050294518470764,
0.0608125664293766,
-0.05916919559240341,
-0.03273751586675644,
0.0001907903206301853,
0.05145585909485817,
0.017680875957012177,
-0.028562229126691818,
-0.019732972607016563,
-0.009129088371992111,
0.003443258348852396,
-0.01806725189089775,
-0.008574246428906918,
-0.013434503227472305,
-0.042513880878686905,
0.011019861325621605,
-0.005329592153429985,
-0.06858524680137634,
-0.033527325838804245,
-0.011103231459856033,
0.001493771094828844,
-0.036209139972925186,
-0.07679051160812378,
-0.041182707995176315,
0.055876050144433975,
0.030466130003333092,
-0.0014933310449123383,
0.025814319029450417,
-0.012584167532622814,
-0.10112859308719635,
0.034152962267398834,
0.024912388995289803,
0.0006079538725316525,
-0.002206438221037388,
0.002401546109467745,
0.07007192075252533,
-0.03306589648127556,
-0.048879850655794144,
0.047161173075437546,
0.007125059608370066,
0.01753835752606392,
-0.03592528775334358,
0.03540404513478279,
0.021264750510454178,
-0.009382090531289577,
-0.014472950249910355,
0.04279646277427673,
0.0018394181970506907,
0.03377574682235718,
-0.01977354660630226,
0.03339381888508797,
0.026704179123044014,
-0.0054654632695019245,
0.032934609800577164,
0.04869725555181503,
0.01399081852287054,
0.00935455597937107,
-0.10212381929159164,
-0.034053441137075424,
-0.05843748152256012,
-0.021721256896853447,
0.0028357068076729774,
-0.07021921128034592,
-0.015284236520528793,
0.0766531452536583,
-0.05625429004430771,
-0.0207427479326725,
-0.05733655393123627,
0.006391381379216909,
-0.021605173125863075,
0.007422674912959337,
-0.024976598098874092,
-0.018761800602078438,
0.021304568275809288,
0.009239055216312408,
0.0012889738427475095,
-0.012533560395240784,
0.04397621378302574,
-0.01584106683731079,
0.01873100735247135,
-0.00661658588796854,
-0.029523899778723717,
0.004142186604440212,
-0.011507040821015835,
-0.023477867245674133,
-0.02423938177525997,
0.048840977251529694,
0.03651420399546623,
-0.0036328572314232588,
0.016704289242625237,
0.04347189515829086,
0.001350822509266436,
-0.018396634608507156,
0.0022075995802879333,
0.007851718924939632,
-0.01569753885269165,
0.03138185665011406,
-0.01219235360622406,
0.015537720173597336,
0.02267340198159218,
0.05459228903055191,
0.03275781869888306,
-0.015106312930583954,
0.0052888826467096806,
0.02376926690340042,
-0.03470967710018158,
0.009345142170786858,
-0.04629083350300789,
-0.021581169217824936,
-0.006252001505345106,
0.03288428485393524,
0.008844209834933281,
0.03477808088064194,
-0.0041327765211462975,
0.004567967727780342,
-0.04310762509703636,
0.04085136577486992,
0.02186526358127594,
-0.005303261801600456,
0.0021240017376840115,
0.005141593050211668,
0.060271020978689194,
-0.01811833120882511,
-0.029856329783797264,
0.029056984931230545,
-0.014904973097145557,
0.009415311738848686,
-0.034986067563295364,
-0.0473773255944252,
-0.01631164364516735,
0.015647582709789276,
-0.01045170146971941,
0.047188445925712585,
0.006136602722108364,
-0.0208596158772707,
0.018751950934529305,
0.032404132187366486,
-0.014957791194319725,
-0.015616434626281261,
-0.008639066480100155,
0.07319782674312592,
0.028345488011837006,
0.0045478749088943005,
-0.0138888880610466,
-0.032366737723350525,
0.04463810846209526,
-0.019844720140099525,
0.006147146224975586,
0.007485091686248779,
-0.0424313023686409,
-0.015817366540431976,
-0.04758671671152115,
0.009769556112587452,
0.03558552265167236,
-0.026231659576296806,
-0.0445328950881958,
-0.01898912712931633,
0.025520609691739082,
-0.007097242865711451,
0.013259884901344776,
0.01125328429043293,
-0.07942759990692139,
0.024395287036895752,
0.057899296283721924,
-0.055514201521873474,
0.0382821150124073,
-0.04408245533704758,
-0.04696478322148323,
-0.04919936880469322,
-0.018433839082717896,
-0.004360955208539963,
-0.0029968302696943283,
-0.03126048296689987,
-0.0048767938278615475,
0.026754602789878845,
-0.018880506977438927,
-0.0022075516171753407,
0.010900738649070263,
-0.0006407317705452442,
-0.039536893367767334,
0.0021126815117895603,
0.0526282899081707,
-0.016738003119826317,
-0.0010752641828730702,
-0.00019440475443843752,
-0.009568091481924057,
-0.0020544349681586027,
-0.030492229387164116,
0.04158500209450722,
0.05195491760969162,
-0.019194455817341805,
0.007976919412612915,
-0.03515353798866272,
0.033424194902181625,
-0.0211288221180439,
-0.019749866798520088,
-0.013088150881230831,
-0.01182661671191454,
-0.05206848308444023,
-0.00023220639559440315,
-0.011447343043982983,
0.021205132827162743,
-0.0008603607420809567,
-0.0003337186644785106,
-0.0027203948702663183,
0.01846892759203911,
0.030505545437335968,
0.01942090317606926,
-0.07178469002246857,
-0.014365729875862598,
0.059863075613975525,
-0.041838571429252625,
-0.04094729200005531,
-0.07549650222063065,
-0.039342012256383896,
0.025396205484867096,
-0.01850758120417595,
0.021343562752008438,
0.007029900327324867,
0.031287603080272675,
0.018462929874658585,
0.03064345382153988,
0.0035712493117898703,
-0.012686432339251041,
0.033204417675733566,
-0.053635332733392715,
0.012274493463337421,
-0.04883667081594467,
-0.006357778329402208,
0.08688124269247055,
-0.01756567694246769,
0.0164174921810627,
-0.009792789816856384,
-0.05458693951368332,
0.01171753741800785,
-0.025162527337670326,
-0.062199175357818604,
0.017592137679457664,
-0.0199018195271492,
0.017036374658346176,
0.024946847930550575,
-0.022292589768767357,
-0.001676682266406715,
0.007028903346508741,
-0.05811530724167824,
-0.018806276842951775,
0.011845695786178112,
0.04427288472652435,
-0.0022097553592175245,
-0.00007795388228259981,
-0.023429855704307556,
0.03431981801986694,
0.034869931638240814,
0.04404303804039955,
0.009660711511969566,
0.013774973340332508,
-0.05131663382053375,
0.07236398756504059,
0.023500598967075348,
0.009607220999896526,
0.004425106104463339,
-0.013288124464452267,
0.020481668412685394,
-0.05264890938997269,
0.04944101721048355,
0.008681797422468662,
-0.03192925080657005,
-0.05492935702204704,
0.03289954736828804,
0.058777496218681335,
-0.018907560035586357,
-0.03672603890299797,
0.03126005828380585,
-0.03250042721629143,
0.006513689644634724,
-0.006520615890622139,
0.003584468737244606,
-0.007057969458401203,
0.05746304243803024,
-0.00787368230521679,
0.004916641861200333,
0.03566853329539299,
0.0007619113312102854,
-0.01385253481566906,
-0.009897604584693909,
0.06514939665794373,
0.05342872440814972,
0.050168804824352264,
-0.02582414820790291,
0.07512540370225906,
-0.0129207419231534,
-0.03278631344437599,
0.03899303823709488,
-0.003379486734047532,
-0.02722916007041931,
-0.022890038788318634,
0.0036741169169545174,
0.06652864813804626,
0.023392876610159874,
0.06804433465003967,
-0.06202586740255356,
-0.0007656379602849483,
0.03398418426513672,
-0.0027102776803076267,
0.0004211330960970372,
0.02815340645611286,
0.02063518762588501,
0.01784730888903141,
0.0016525279497727752,
-0.014326254837214947,
-0.014610111713409424,
0.0029664672911167145,
0.010455952025949955,
0.01563054881989956,
-0.0357971116900444,
0.006984223611652851,
-0.000031532952561974525,
0.06084360554814339,
0.0978192612528801,
-0.011186194606125355,
-0.054361116141080856,
-0.004276953637599945,
0.041301656514406204,
0.0031271108891814947,
-0.0002689262037165463,
0.007810126058757305,
-0.04243796691298485,
-0.009360259398818016,
-0.020664401352405548,
0.02907685376703739,
0.027695855125784874,
0.006115105468779802,
0.018608834594488144,
-0.027978383004665375,
-0.04013615846633911,
0.043048132210969925,
0.033350009471178055,
-0.0011427871650084853,
-0.03450460731983185,
-0.024607494473457336,
-0.03350456804037094,
-0.04733866825699806,
-0.06568200886249542,
0.03381739556789398,
0.01037291344255209,
-0.0077491821721196175,
-0.020859302952885628,
-0.012595171108841896,
0.033437833189964294,
0.006406156811863184,
-0.08978921175003052,
0.014704829081892967,
0.0460067093372345,
-0.0034944540821015835,
0.0029944670386612415,
0.0010795599082484841,
0.013199260458350182,
-0.01944940909743309,
-0.027037939056754112,
0.058124739676713943,
-0.017555229365825653,
0.025998178869485855,
-0.02385997772216797,
-0.0374794639647007,
-0.10433216392993927,
0.00007972108869580552,
-0.0076098511926829815,
-0.017447400838136673,
-0.06865434348583221,
0.049938980489969254,
-0.02749267779290676,
0.059909626841545105,
0.04316023737192154,
-0.014224285259842873,
-0.031450554728507996,
-0.05458390712738037,
-0.03981109708547592,
-0.010229906998574734,
0.006965946406126022,
0.019111132249236107,
-0.02535698562860489,
0.027681106701493263,
0.032075751572847366,
-0.005792722571641207,
-0.041002605110406876,
0.05283701419830322,
-0.033775750547647476,
-0.011398371309041977,
-0.03796536847949028,
-0.005486719775944948,
-0.011759771965444088,
-0.10390975326299667,
0.0011152965016663074,
0.03111388348042965,
-0.031090877950191498,
-0.03324882313609123,
0.01974414475262165,
0.02734953537583351,
0.007011651527136564,
-0.004721027333289385,
0.0029995935037732124,
-0.01987367868423462,
-0.05205434933304787,
-0.01309099793434143,
-0.06626783311367035,
0.008688457310199738,
0.02653970755636692,
0.0316912867128849,
-0.015644295141100883,
-0.01867545023560524,
-0.01577785424888134,
0.004007967188954353,
0.03076888434588909,
0.03505702316761017,
0.0007436777814291418,
-0.028429273515939713
] | null |
505 |
BEST-Route: Adaptive LLM Routing with Test-Time Optimal Compute
|
https://openreview.net/forum?id=tFBIbCVXkG
|
[
"Dujian Ding",
"Ankur Mallick",
"Shaokun Zhang",
"Chi Wang",
"Daniel Madrigal",
"Mirian Del Carmen Hipolito Garcia",
"Menglin Xia",
"Laks V. S. Lakshmanan",
"Qingyun Wu",
"Victor Rühle"
] |
Poster
|
Large language models (LLMs) are powerful tools but are often expensive to deploy at scale. LLM query routing mitigates this by dynamically assigning queries to models of varying cost and quality to obtain a desired tradeoff. Prior query routing approaches generate only one response from the selected model and a single response from a small (inexpensive) model was often not good enough to beat a response from a large (expensive) model due to which they end up overusing the large model and missing out on potential cost savings. However, it is well known that for small models, generating multiple responses and selecting the best can enhance quality while remaining cheaper than a single large-model response. We leverage this idea to propose BEST-Route, a novel routing framework that chooses a model and the number of responses to sample from it based on query difficulty and the quality thresholds. Experiments on real-world datasets demonstrate that our method reduces costs by up to 60% with less than 1% performance drop.
|
Large language models, Efficient ML, Query Routing, Test-time Optimal Compute
| null | 13,334 | null |
[
-0.036817703396081924,
-0.037141792476177216,
-0.00886707752943039,
0.030342701822519302,
0.06355882436037064,
0.0002696087467484176,
0.014611173421144485,
0.041435606777668,
-0.026813853532075882,
-0.02267509326338768,
-0.0023495755158364773,
0.009046528488397598,
-0.05225830525159836,
0.0036644006613641977,
0.012650268152356148,
0.06617417931556702,
0.004593564663082361,
-0.019565360620617867,
0.0663345456123352,
-0.011165640316903591,
0.013542904518544674,
-0.014955026097595692,
0.027554098516702652,
0.03546490892767906,
0.05350561439990997,
0.01914707012474537,
-0.001706551993265748,
-0.0012555108405649662,
-0.04643978923559189,
-0.012667409144341946,
0.03704405948519707,
-0.028683993965387344,
0.0385964997112751,
-0.0024902932345867157,
0.00756383640691638,
0.0030845883302390575,
-0.027888059616088867,
0.0018981003668159246,
-0.007898412644863129,
0.00020342071366030723,
-0.042702462524175644,
0.041180793195962906,
-0.021677877753973007,
0.009666827507317066,
-0.05052150413393974,
0.017766790464520454,
-0.1010892391204834,
0.021630512550473213,
0.013869540765881538,
-0.026229744777083397,
-0.11061728000640869,
0.05266048014163971,
-0.006319528445601463,
0.001491704024374485,
-0.01189166959375143,
0.019132157787680626,
0.04746771976351738,
-0.09415015578269958,
0.0171201154589653,
-0.025079980492591858,
-0.0296365674585104,
0.02910192683339119,
0.010295328684151173,
0.027984941378235817,
-0.0037356126122176647,
-0.04405592754483223,
0.009963134303689003,
0.03719889000058174,
-0.07581019401550293,
-0.04414363577961922,
-0.03947124630212784,
0.025585751980543137,
0.00881789717823267,
0.015373843722045422,
0.017850127071142197,
-0.04412132874131203,
-0.010369742289185524,
0.024569185450673103,
0.058425743132829666,
0.0010061359498649836,
-0.03688286989927292,
-0.0045105405151844025,
0.006487906910479069,
0.0755481868982315,
0.025890527293086052,
0.012434485368430614,
-0.05948994308710098,
-0.02533983439207077,
-0.06890293210744858,
0.01678168773651123,
-0.0046202135272324085,
-0.05216054245829582,
-0.006901415064930916,
0.008614642545580864,
0.023206274956464767,
-0.03935789689421654,
0.020053893327713013,
0.03393103554844856,
-0.005739313084632158,
-0.010623643174767494,
-0.009489352814853191,
-0.033844269812107086,
0.03290211409330368,
-0.001758022466674447,
-0.11171726882457733,
-0.003510656300932169,
-0.024203497916460037,
-0.01661139726638794,
0.007737623527646065,
0.0009169517434202135,
-0.013428464531898499,
-0.033275846391916275,
-0.01688311994075775,
0.0018203136278316379,
-0.06657114624977112,
0.05436163395643234,
0.01100022904574871,
-0.0014479350065812469,
-0.011514268815517426,
-0.0044541447423398495,
0.04205240309238434,
0.05474575608968735,
0.007449163123965263,
0.08375784754753113,
-0.019297625869512558,
-0.0049224053509533405,
0.026947686448693275,
0.035066939890384674,
-0.010425889864563942,
-0.04076395556330681,
0.0034627150744199753,
0.048781245946884155,
0.0046142349019646645,
0.007850000634789467,
-0.008790894411504269,
0.0046630194410681725,
0.007563795894384384,
0.03778109326958656,
0.0694749653339386,
-0.027992406859993935,
0.0020504388958215714,
-0.01850629597902298,
0.07314088940620422,
-0.03198040649294853,
0.082069993019104,
0.004005622584372759,
-0.008023456670343876,
-0.04399726539850235,
-0.028204571455717087,
-0.01258666068315506,
0.018142858520150185,
0.023373901844024658,
-0.023367682471871376,
-0.06082814931869507,
0.03485666215419769,
0.08533909171819687,
0.020309995859861374,
-0.008107591420412064,
-0.016384275630116463,
0.0006189806153997779,
0.008514359593391418,
-0.006510226521641016,
-0.05725395306944847,
0.007356771733611822,
-0.03664322569966316,
-0.050397615879774094,
0.019312715157866478,
0.022821560502052307,
-0.028522470965981483,
0.004311287309974432,
-0.02651231177151203,
-0.015262315049767494,
0.0752059817314148,
-0.012878268957138062,
-0.020300468429923058,
-0.01395789161324501,
0.07361113280057907,
-0.011013412848114967,
0.024480877444148064,
0.01922888495028019,
-0.07110659033060074,
0.029693907126784325,
0.00752992182970047,
0.0016901531489565969,
0.03615223616361618,
-0.020077764987945557,
0.09471170604228973,
-0.020583398640155792,
-0.01466513890773058,
0.00754377618432045,
-0.09183424711227417,
-0.018443867564201355,
0.0058559877797961235,
-0.00892603024840355,
0.055815111845731735,
0.032804589718580246,
0.02624790370464325,
0.057247307151556015,
0.028834877535700798,
0.055775050073862076,
0.0653296634554863,
0.013088496401906013,
0.049450960010290146,
-0.040340229868888855,
-0.05154937133193016,
-0.002293017925694585,
0.037609219551086426,
-0.040217988193035126,
-0.04003739356994629,
0.03280874341726303,
-0.03708120808005333,
-0.004418549593538046,
0.01005557831376791,
0.003948816563934088,
0.0032527856528759003,
-0.01454761903733015,
-0.02107812650501728,
-0.00030802522087469697,
0.032485540956258774,
-0.05473265051841736,
0.0646439790725708,
0.02960052900016308,
-0.025561410933732986,
-0.008932124823331833,
-0.05035001412034035,
0.08861088007688522,
0.05418241769075394,
-0.006204467732459307,
-0.015764407813549042,
0.03126107156276703,
0.02262268401682377,
0.010830304585397243,
0.00732517009600997,
-0.05288425460457802,
0.021819692105054855,
-0.03509942814707756,
0.0004945268738083541,
-0.04390745609998703,
0.042573899030685425,
-0.025810111314058304,
-0.03538098186254501,
0.05955829098820686,
0.012243944220244884,
0.07934008538722992,
-0.0061263772659003735,
0.01345753762871027,
0.028653280809521675,
-0.037128765136003494,
0.013980433344841003,
-0.022091157734394073,
-0.008496885187923908,
-0.005458866711705923,
0.0017537347739562392,
0.003426778130233288,
-0.023961646482348442,
-0.05371994897723198,
-0.029201608151197433,
0.025038355961441994,
0.06121213361620903,
0.06324814260005951,
-0.000266969611402601,
0.038716062903404236,
0.023429540917277336,
-0.012380613014101982,
0.005480242893099785,
-0.10950103402137756,
-0.03060727007687092,
-0.012226328253746033,
0.03348757326602936,
0.025251882150769234,
0.03314311429858208,
-0.01553786639124155,
0.021005239337682724,
-0.02942347526550293,
-0.012332054786384106,
-0.002424046862870455,
0.036568738520145416,
0.01332232728600502,
-0.050531551241874695,
-0.014874697662889957,
0.0006230172584764659,
0.04702294245362282,
-0.01171440351754427,
-0.033715371042490005,
-0.02803601138293743,
-0.02651391364634037,
-0.004692133516073227,
-0.05499045550823212,
0.018750037997961044,
0.01590573415160179,
0.03151392936706543,
0.022328374907374382,
-0.03454720973968506,
-0.004403383936733007,
0.05174997076392174,
0.057203859090805054,
0.043757908046245575,
-0.004389032255858183,
-0.02764296345412731,
0.024971021339297295,
-0.020364347845315933,
-0.007114320062100887,
-0.020450133830308914,
0.041879910975694656,
-0.015045174397528172,
-0.015008891001343727,
-0.0008315825252793729,
0.015131926164031029,
-0.26646098494529724,
-0.01320715993642807,
0.0031311355996876955,
-0.028498271480202675,
0.037454504519701004,
-0.018422555178403854,
0.0459243506193161,
-0.017109064385294914,
-0.02525545470416546,
0.014932083897292614,
0.008663097396492958,
0.05268273875117302,
-0.01743520237505436,
0.029845276847481728,
0.04411793872714043,
0.06259910017251968,
-0.021825158968567848,
-0.026951156556606293,
0.022925036028027534,
0.010819577611982822,
0.017706425860524178,
-0.07405269145965576,
-0.00393744045868516,
0.017948288470506668,
-0.015825482085347176,
0.06390570104122162,
-0.07910860329866409,
0.007568167522549629,
-0.03047005832195282,
-0.007262893486768007,
-0.008368466980755329,
-0.03159807622432709,
-0.03275666385889053,
0.02392899990081787,
-0.012906295247375965,
-0.010691409930586815,
0.06874310970306396,
0.00019798184803221375,
0.056605808436870575,
0.008929676376283169,
0.006798240821808577,
-0.02146725542843342,
-0.05153916776180267,
-0.031434882432222366,
0.061868175864219666,
0.008607810363173485,
-0.06077611818909645,
-0.02159581147134304,
0.029824700206518173,
0.015554927289485931,
-0.016267744824290276,
-0.05701502785086632,
-0.002411397872492671,
0.03265667334198952,
0.00994834303855896,
-0.03123222291469574,
-0.0010418378515169024,
-0.028082719072699547,
-0.022914055734872818,
0.009521063417196274,
0.008433355018496513,
-0.06202422454953194,
-0.026950594037771225,
-0.055630654096603394,
-0.04480590671300888,
-0.02229873649775982,
-0.028239138424396515,
-0.04831504076719284,
0.0328412763774395,
0.03337191045284271,
0.0008166843326762319,
0.008517674170434475,
0.013059663586318493,
-0.09330051392316818,
-0.0022012614645063877,
0.026689566671848297,
-0.014861656352877617,
0.010752986185252666,
-0.017969917505979538,
0.04187285527586937,
-0.03960433974862099,
-0.02168731391429901,
-0.021000584587454796,
-0.00666180532425642,
0.03107714094221592,
-0.03672046214342117,
-0.023486303165555,
-0.033253639936447144,
-0.009142761118710041,
-0.023940617218613625,
0.022919805720448494,
0.014013361185789108,
0.004681402817368507,
0.025760166347026825,
0.059675708413124084,
0.02690666913986206,
0.01493604015558958,
0.06790584325790405,
0.030618825927376747,
0.005086192395538092,
0.021998628973960876,
-0.05894220620393753,
0.016563087701797485,
-0.02241644822061062,
-0.002108917571604252,
0.05426626279950142,
-0.06110024079680443,
-0.014597819186747074,
0.01862782984972,
-0.0014971884666010737,
-0.01671343855559826,
-0.015199405141174793,
0.0033309771679341793,
-0.008126888424158096,
-0.04885668680071831,
-0.015913696959614754,
0.00935356318950653,
0.027437468990683556,
0.03059777244925499,
-0.00418848218396306,
-0.05243746563792229,
0.06709793210029602,
-0.0022139716893434525,
0.015902170911431313,
-0.008972070179879665,
-0.015292641706764698,
0.013245601207017899,
0.0051200478337705135,
-0.0120147205889225,
-0.0045977989211678505,
0.019019918516278267,
0.030847981572151184,
0.011092661879956722,
-0.002789598423987627,
0.04787079617381096,
-0.020657286047935486,
-0.0023164190351963043,
0.015951141715049744,
0.024350279942154884,
-0.008038093335926533,
-0.011985198594629765,
-0.015716100111603737,
0.041133567690849304,
0.03093249909579754,
0.028494134545326233,
0.04316256195306778,
0.010006796568632126,
0.0024425953160971403,
0.006794838700443506,
0.008112712763249874,
0.019376982003450394,
-0.036369629204273224,
-0.0025815856643021107,
-0.033727385103702545,
0.040772199630737305,
-0.019910089671611786,
0.011293236166238785,
-0.03573736548423767,
0.012252815999090672,
-0.06582914292812347,
0.03363879770040512,
-0.008596458472311497,
-0.0006540511385537684,
0.03822481259703636,
-0.0012611320707947016,
0.05910986289381981,
-0.031140685081481934,
0.004556514322757721,
0.021712448447942734,
0.008995357900857925,
-0.005245169624686241,
-0.04879113659262657,
-0.028636863455176353,
0.0022712312638759613,
-0.018656812608242035,
0.021122870966792107,
0.023528480902314186,
-0.0032277307473123074,
-0.013810829259455204,
0.0436624176800251,
-0.015547370538115501,
-0.026977475732564926,
0.007021235302090645,
0.03075033240020275,
0.057450730353593826,
-0.03216260299086571,
0.011905113235116005,
0.015014511533081532,
-0.031909290701150894,
0.02846413478255272,
0.004801509436219931,
0.013656319119036198,
0.004398961551487446,
-0.03249267488718033,
-0.025865914300084114,
-0.04231831431388855,
0.04565892741084099,
0.0013878681929782033,
-0.005748465191572905,
-0.029883066192269325,
-0.00024502797168679535,
-0.015669049695134163,
-0.025702307000756264,
-0.030525319278240204,
-0.006990553345531225,
-0.06249334290623665,
0.0024649437982589006,
0.027594197541475296,
0.0011179577559232712,
0.041026413440704346,
-0.059053510427474976,
-0.03608209639787674,
-0.02506355755031109,
0.03680265694856644,
0.0489930622279644,
-0.03208380565047264,
-0.013508432544767857,
0.013349967077374458,
0.018388288095593452,
-0.004086851608008146,
-0.028746113181114197,
-0.01215142197906971,
-0.005450683180242777,
-0.027418872341513634,
-0.0023315404541790485,
0.07396962493658066,
-0.04855217784643173,
-0.049865495413541794,
0.006168052554130554,
-0.03740805760025978,
0.03509613499045372,
-0.08706867694854736,
0.030954457819461823,
0.0340404137969017,
0.028913943096995354,
0.03498116880655289,
-0.045945022255182266,
0.018687285482883453,
-0.0032237297855317593,
-0.018801825121045113,
0.0035674087703227997,
-0.0253672543913126,
-0.02527800016105175,
0.014674886129796505,
0.021779460832476616,
0.054811518639326096,
0.018328974023461342,
0.007700228597968817,
0.013294189237058163,
0.0035041244700551033,
0.008849930949509144,
0.002899748971685767,
-0.012690928764641285,
-0.008179527707397938,
0.06422699987888336,
-0.02700827643275261,
-0.041487377136945724,
-0.08520491421222687,
-0.06166772544384003,
0.022181779146194458,
-0.04326382651925087,
0.022390898317098618,
-0.05295699089765549,
0.04796050488948822,
0.021751927211880684,
0.06083147972822189,
0.04752374067902565,
-0.052267782390117645,
0.03334905579686165,
-0.05162908881902695,
-0.00695029366761446,
-0.08159997314214706,
-0.020642202347517014,
0.044885262846946716,
-0.04055023193359375,
0.007710375357419252,
0.026611777022480965,
-0.01210224349051714,
0.033006079494953156,
0.005207116715610027,
-0.07169104367494583,
-0.002026079222559929,
-0.005308732856065035,
-0.01992650516331196,
0.06222604215145111,
-0.03268580138683319,
0.0003044935001526028,
0.0003241131198592484,
-0.01909458078444004,
0.0164839718490839,
0.010139104910194874,
0.04849854111671448,
-0.028378926217556,
0.029386190697550774,
-0.04854745417833328,
-0.0071871415711939335,
0.007120885420590639,
0.07841604202985764,
-0.0032804219517856836,
0.028753703460097313,
-0.03362305462360382,
0.044773802161216736,
0.04275389760732651,
0.012788387946784496,
-0.003848901018500328,
0.008755826391279697,
-0.028696678578853607,
-0.044590603560209274,
0.07663065195083618,
0.007667994126677513,
-0.0001490778522565961,
-0.07635550200939178,
0.08112827688455582,
0.04919813945889473,
-0.057119231671094894,
-0.020939834415912628,
0.014106611721217632,
-0.05323389917612076,
0.011188017204403877,
-0.01740957982838154,
0.003749830648303032,
0.01820526272058487,
0.06409304589033127,
0.011458543129265308,
0.05399589240550995,
0.0729617029428482,
0.00838710181415081,
-0.04423270374536514,
0.002998977666720748,
0.06423140317201614,
0.06548504531383514,
0.029390281066298485,
-0.01390967145562172,
0.06176367774605751,
-0.03315945714712143,
-0.04605240002274513,
0.005828303284943104,
-0.00796227715909481,
-0.040810149163007736,
-0.046079665422439575,
0.019248448312282562,
0.04815370962023735,
-0.01528094056993723,
0.06410634517669678,
-0.04762808978557587,
0.02324589528143406,
0.05802921578288078,
-0.012333202175796032,
0.011089435778558254,
0.04195093363523483,
0.024154283106327057,
0.01694454997777939,
-0.03354388102889061,
-0.004863132257014513,
-0.006652353331446648,
-0.012498164549469948,
-0.005239698104560375,
0.01757092773914337,
-0.021594611927866936,
-0.010563104413449764,
-0.018753966316580772,
0.032353200018405914,
0.10218189656734467,
-0.03578269109129906,
-0.05105961486697197,
-0.0005530048510991037,
-0.008511857129633427,
-0.028328033164143562,
0.02751476876437664,
0.007515343371778727,
-0.03185335919260979,
-0.006932119373232126,
-0.037503164261579514,
-0.00032135623041540384,
0.023102086037397385,
-0.024283407256007195,
0.01564912684261799,
0.00799194723367691,
-0.020424949005246162,
0.022865761071443558,
0.04170774668455124,
-0.07835512608289719,
-0.03773107752203941,
-0.055643148720264435,
-0.04100858420133591,
-0.0329853780567646,
-0.041461218148469925,
-0.003968634642660618,
0.013617000542581081,
-0.028444688767194748,
0.02430824190378189,
-0.029514547437429428,
-0.006023983005434275,
0.04038846865296364,
-0.05970391631126404,
-0.013232888653874397,
0.04344712942838669,
-0.0039299726486206055,
0.0066256336867809296,
0.0399155430495739,
0.022330183535814285,
-0.03733016178011894,
0.003845911007374525,
0.016406038776040077,
0.007531648967415094,
0.0324878916144371,
0.0004579007509164512,
-0.009919154457747936,
-0.1135636419057846,
0.020183516666293144,
0.021508298814296722,
-0.021097643300890923,
-0.07761324197053909,
-0.004449253901839256,
-0.00020480185048654675,
0.02945490926504135,
0.07191634178161621,
-0.0001297940907534212,
0.0352577269077301,
-0.017640767619013786,
-0.0033274011220782995,
0.022243773564696312,
0.019378576427698135,
0.028771109879016876,
-0.015734942629933357,
0.03633515536785126,
0.03846080228686333,
-0.038276925683021545,
-0.04130537435412407,
0.025285042822360992,
0.0010202423436567187,
-0.016176778823137283,
-0.028652135282754898,
-0.039382025599479675,
-0.016043808311223984,
-0.07451087981462479,
-0.04556586220860481,
0.02354247123003006,
-0.000591237039770931,
-0.016304127871990204,
0.0006116767763160169,
-0.012811711058020592,
-0.062494322657585144,
-0.03161163628101349,
-0.02825642190873623,
-0.029132600873708725,
-0.01789296418428421,
-0.04008159786462784,
-0.05575365200638771,
0.03967899829149246,
-0.021389955654740334,
-0.016066022217273712,
-0.009155799634754658,
-0.035459909588098526,
0.007527573965489864,
0.016049981117248535,
0.030423231422901154,
-0.015881111845374107,
0.015347126871347427,
-0.029117131605744362
] |
https://github.com/microsoft/best-route-llm
|
506 |
DMM: Distributed Matrix Mechanism for Differentially-Private Federated Learning Based on Constant-Overhead Linear Secret Resharing
|
https://openreview.net/forum?id=Nv6mOSqUVA
|
[
"Alexander Bienstock",
"Ujjwal Kumar",
"Antigoni Polychroniadou"
] |
Poster
|
Federated Learning (FL) solutions with central Differential Privacy (DP) have seen large improvements in their utility in recent years arising from the matrix mechanism, while FL solutions with distributed (more private) DP have lagged behind. In this work, we introduce the distributed matrix mechanism to achieve the best-of-both-worlds; better privacy of distributed DP and better utility from the matrix mechanism. We accomplish this using a novel cryptographic protocol that securely transfers sensitive values across client committees
of different training iterations with constant communication overhead. This protocol accommodates the dynamic participation of users required by FL, including those that may drop out from the computation. We provide experiments which show that our mechanism indeed significantly improves the utility of FL models compared to previous distributed DP mechanisms, with little added overhead.
|
federated learning, differential privacy, matrix mechanism, cryptography
|
We achieve better privacy-utility tradeoff for Federated Learning with local differential privacy using the matrix mechanism and novel efficient cryptographic techniques.
| 13,332 |
2410.16161
|
[
0.003159808926284313,
-0.02692912146449089,
-0.004469705279916525,
0.04893255606293678,
0.053016237914562225,
0.02216598019003868,
0.034427523612976074,
-0.04766802489757538,
-0.02865951508283615,
-0.018759623169898987,
0.007998156361281872,
-0.02005060203373432,
-0.04954272136092186,
0.01824099011719227,
-0.01099800132215023,
0.05972854048013687,
0.03739948570728302,
-0.03583984822034836,
0.00754900136962533,
0.025815190747380257,
-0.024278616532683372,
-0.027528587728738785,
0.031167058274149895,
0.0005224103224463761,
-0.004932374227792025,
0.0352768748998642,
0.03005935251712799,
0.013980807736515999,
-0.033853959292173386,
0.0024116309359669685,
0.053923100233078,
0.0062827118672430515,
0.017737817019224167,
0.003043717471882701,
0.016326751559972763,
0.020044058561325073,
-0.009633091278374195,
0.004858223721385002,
0.013955413363873959,
0.029539261013269424,
-0.0010484495433047414,
0.03634120151400566,
-0.011899770237505436,
0.023502595722675323,
-0.07529466599225998,
-0.0015682074008509517,
-0.0974329337477684,
0.03407169133424759,
0.013928247615695,
-0.03414756432175636,
-0.10058032721281052,
-0.019055457785725594,
-0.005294386297464371,
0.023186324164271355,
0.024534029886126518,
0.045247193425893784,
0.0320587083697319,
-0.07922589778900146,
0.004055067431181669,
-0.025102367624640465,
-0.046728283166885376,
-0.004194995854049921,
0.04920998215675354,
-0.0059507377445697784,
-0.02392159402370453,
-0.044765736907720566,
0.01574895717203617,
0.06284257024526596,
-0.05177072808146477,
-0.030169673264026642,
-0.01210711058229208,
0.0005531771457754076,
0.005354497581720352,
-0.053925711661577225,
0.01634431816637516,
-0.03799593821167946,
0.018973154947161674,
0.0005773016600869596,
0.06459758430719376,
-0.013153051026165485,
-0.033359281718730927,
0.009075014851987362,
-0.011669517494738102,
0.028485123068094254,
-0.018907738849520683,
-0.009378143586218357,
-0.050548210740089417,
0.003258667653426528,
-0.06368793547153473,
0.06154480576515198,
-0.0337635762989521,
-0.051165468990802765,
0.02024027891457081,
0.010910858400166035,
0.0315919853746891,
-0.03603018447756767,
0.025813568383455276,
0.015194510109722614,
-0.002099222969263792,
0.01902414858341217,
0.009305364452302456,
-0.024643706157803535,
0.002168631413951516,
-0.013158668763935566,
-0.09619096666574478,
-0.0014569120248779655,
-0.025516143068671227,
-0.034010469913482666,
0.006349268835037947,
0.012778390198946,
-0.006350776180624962,
0.002107095904648304,
0.02201063744723797,
-0.02304501086473465,
-0.10164500772953033,
0.052394799888134,
0.003899499773979187,
0.013822709210216999,
-0.00924765132367611,
-0.004122389480471611,
0.09080686420202255,
0.06543062627315521,
0.002701488323509693,
0.052326980978250504,
0.0382649265229702,
-0.017184991389513016,
0.03719260171055794,
0.025017792358994484,
-0.027745040133595467,
-0.010394355282187462,
0.012838953174650669,
0.018463749438524246,
0.01800670102238655,
0.0008837528876028955,
-0.015164735727012157,
-0.0364869199693203,
-0.001321482821367681,
0.04768700525164604,
0.04532831907272339,
-0.009260057471692562,
0.011549915187060833,
-0.031653136014938354,
0.02612202800810337,
-0.018855618312954903,
0.0559048168361187,
0.004475772846490145,
0.023474136367440224,
-0.00015022768639028072,
-0.0427902415394783,
0.0018612784333527088,
0.003829609602689743,
0.023501234129071236,
0.04744546487927437,
-0.09053759276866913,
0.012679927982389927,
0.03403625264763832,
0.012413776479661465,
0.025157436728477478,
-0.0006447510677389801,
0.00897179450839758,
0.0032898117788136005,
-0.02948884852230549,
-0.043130308389663696,
0.020814165472984314,
-0.013483294285833836,
-0.05630111321806908,
0.05603141337633133,
0.014755699783563614,
0.002414091257378459,
-0.02312963642179966,
-0.03438723087310791,
-0.011104203760623932,
0.05449775233864784,
-0.0023893676698207855,
0.03184882178902626,
0.009322685189545155,
0.039495810866355896,
0.008815727196633816,
0.03144695982336998,
0.03133079409599304,
-0.08573656529188156,
0.032600678503513336,
-0.00575725082308054,
-0.018051542341709137,
0.006920244079083204,
0.005321222357451916,
0.06359739601612091,
-0.01722235418856144,
0.01200107205659151,
0.014349489472806454,
-0.06871344149112701,
-0.001460626837797463,
0.057515475898981094,
0.009648888371884823,
0.0688183382153511,
0.012402406893670559,
-0.0024627528619021177,
0.019510317593812943,
0.0047679380513727665,
0.03196144476532936,
0.05996207520365715,
-0.016008231788873672,
0.040555521845817566,
0.005696994252502918,
-0.04483027011156082,
0.024039696902036667,
0.0062634595669806,
-0.019884558394551277,
-0.019893663004040718,
-0.008880363777279854,
-0.019102007150650024,
-0.020967865362763405,
-0.028630241751670837,
-0.020671596750617027,
0.05044113099575043,
0.019724765792489052,
-0.03528093174099922,
0.022195888683199883,
-0.003813053946942091,
-0.04278843477368355,
0.044518500566482544,
0.015553039498627186,
-0.008928073570132256,
0.047073230147361755,
-0.032597508281469345,
0.13388623297214508,
0.07109516113996506,
-0.008061659522354603,
0.009563205763697624,
0.04109770804643631,
0.02096002735197544,
-0.04189206659793854,
0.025982452556490898,
-0.034344855695962906,
0.011482933536171913,
0.01185982208698988,
0.006450336426496506,
-0.03914966061711311,
0.07443549484014511,
-0.05166526138782501,
0.00008428572618868202,
0.053189974278211594,
-0.010294248349964619,
0.0684681311249733,
-0.003999120555818081,
-0.0023762816563248634,
0.0200628824532032,
-0.009526546113193035,
0.01464972272515297,
-0.01294866856187582,
-0.040647126734256744,
-0.009228017181158066,
0.007466787938028574,
-0.04091966524720192,
0.02524667978286743,
-0.07280876487493515,
0.028179872781038284,
0.016227133572101593,
0.04062270745635033,
0.03154187649488449,
0.009701263159513474,
0.0383792445063591,
-0.012453529052436352,
-0.034313175827264786,
-0.024204140529036522,
-0.09734820574522018,
-0.036346644163131714,
0.006118424702435732,
0.06511470675468445,
-0.0022576746996492147,
0.04714198037981987,
-0.005883791483938694,
-0.038354333490133286,
-0.003974460531026125,
-0.01860298030078411,
0.0006034064572304487,
0.030983926728367805,
-0.018926598131656647,
-0.05639003962278366,
-0.029673323035240173,
-0.014512358233332634,
0.05065806210041046,
0.0014629107899963856,
-0.009383541531860828,
-0.03720361739397049,
-0.011968626640737057,
0.01387302577495575,
-0.058553606271743774,
-0.012982781045138836,
-0.01635226234793663,
0.019745023921132088,
0.046401455998420715,
-0.020945481956005096,
0.026148440316319466,
0.0064265308901667595,
0.04104754328727722,
-0.010824672877788544,
0.020225832238793373,
0.017171507701277733,
0.030759437009692192,
-0.002313939854502678,
-0.011728176847100258,
-0.008734802715480328,
-0.013192596845328808,
-0.049309875816106796,
-0.056685954332351685,
0.004338097292929888,
0.02112497389316559,
-0.26490575075149536,
0.01708374172449112,
0.0050776065327227116,
0.009616609662771225,
0.03829043358564377,
-0.03010765090584755,
0.04337357357144356,
-0.004574567545205355,
-0.015306275337934494,
-0.013944068923592567,
0.017324533313512802,
0.01523073110729456,
0.014868154190480709,
0.026603851467370987,
0.023996500298380852,
0.01891537569463253,
-0.04339729994535446,
-0.0422203466296196,
0.041890911757946014,
-0.006895122118294239,
-0.027582425624132156,
-0.08016378432512283,
-0.003292725421488285,
0.019292188808321953,
-0.014769885689020157,
0.00859098695218563,
-0.04459843039512634,
0.005283407401293516,
-0.03561479598283768,
0.010843341238796711,
-0.03259669616818428,
-0.027831535786390305,
-0.034733399748802185,
0.007213439326733351,
0.0038861597422510386,
0.02330354042351246,
0.052970804274082184,
0.014857526868581772,
0.00005223451444180682,
0.018044892698526382,
0.02690981887280941,
-0.015126373618841171,
-0.0003963406488765031,
-0.01322487648576498,
0.06999769061803818,
0.0810093805193901,
-0.05852756276726723,
-0.02868148498237133,
-0.012206679210066795,
0.013669166713953018,
0.0119014922529459,
-0.06689091771841049,
-0.039760176092386246,
-0.007218077313154936,
-0.013105535879731178,
-0.02463575266301632,
-0.0587027445435524,
-0.007299351971596479,
0.02527044713497162,
0.05285782366991043,
0.049214910715818405,
-0.038348160684108734,
-0.015493749640882015,
-0.015864072367548943,
0.004585301037877798,
-0.0502065010368824,
-0.07716972380876541,
-0.07242926210165024,
0.07244899868965149,
0.035807278007268906,
-0.011936933733522892,
0.002494452055543661,
-0.026668913662433624,
-0.1011730432510376,
0.010524150915443897,
0.0005585685721598566,
-0.004483980126678944,
-0.015295751392841339,
0.043910011649131775,
0.08587288111448288,
-0.03953458368778229,
-0.035437699407339096,
0.005522406660020351,
-0.013794606551527977,
0.017827311530709267,
-0.017858855426311493,
0.009434032253921032,
-0.007907513529062271,
-0.037471622228622437,
-0.060399021953344345,
0.007499197497963905,
0.012952986173331738,
0.029932767152786255,
-0.0136748431250453,
0.07873942703008652,
0.02880573645234108,
0.007787138223648071,
0.0460255965590477,
0.022014115005731583,
0.018455050885677338,
0.006408259272575378,
-0.055184509605169296,
-0.017441311851143837,
-0.05047015845775604,
-0.0051969620399177074,
0.016243698075413704,
-0.047417085617780685,
-0.023983284831047058,
0.03843756392598152,
-0.024326203390955925,
-0.04741939902305603,
-0.050738509744405746,
-0.00350313656963408,
-0.03747543692588806,
0.0020983589347451925,
-0.01126859337091446,
-0.017246827483177185,
0.048817913979291916,
0.033538416028022766,
-0.03948555141687393,
-0.028915856033563614,
0.05368256941437721,
0.027094943448901176,
0.02995656058192253,
-0.012177511118352413,
0.026067018508911133,
-0.021546509116888046,
-0.0280569139868021,
0.0351620577275753,
-0.015063525177538395,
0.044824667274951935,
0.011339643970131874,
0.010240263305604458,
-0.00955906417220831,
0.07657156139612198,
0.013983063399791718,
-0.003869042033329606,
-0.00409272126853466,
0.020764032378792763,
-0.012377353385090828,
0.06788168847560883,
0.000871065363753587,
0.009726259857416153,
0.01843806356191635,
0.03427908569574356,
0.02084251306951046,
-0.004391997121274471,
0.04219414293766022,
-0.009207664057612419,
-0.025496914982795715,
-0.01150796003639698,
-0.07089482247829437,
0.018169304355978966,
-0.020837176591157913,
0.0046212333254516125,
-0.013711978681385517,
0.05748642235994339,
-0.01013942901045084,
-0.01669144630432129,
-0.07432679831981659,
0.02536763995885849,
0.043986350297927856,
-0.012911389581859112,
0.007416947279125452,
0.026850741356611252,
0.0733088031411171,
-0.055742740631103516,
0.002355994191020727,
0.01537169236689806,
-0.012925945222377777,
0.016683392226696014,
-0.027920283377170563,
-0.03358733281493187,
0.00818540807813406,
-0.026654737070202827,
0.00453196419402957,
0.013811834156513214,
-0.013086059130728245,
-0.04143323004245758,
0.009350080043077469,
0.02370494231581688,
-0.02459556981921196,
-0.012803790159523487,
0.030544055625796318,
0.0753498449921608,
0.04336699843406677,
0.01074796449393034,
-0.033549658954143524,
-0.031961534172296524,
0.06495960056781769,
0.008630638010799885,
0.021074950695037842,
-0.017665747553110123,
-0.019250797107815742,
-0.011714841239154339,
-0.025572042912244797,
-0.005997681524604559,
0.03826966881752014,
-0.0033990959636867046,
0.003968589939177036,
-0.007510463707149029,
0.015712060034275055,
-0.009367945604026318,
0.025245562195777893,
-0.0059782760217785835,
-0.06008044257760048,
0.016273129731416702,
0.038220200687646866,
-0.015785060822963715,
0.008789533749222755,
-0.03673013672232628,
-0.003817133139818907,
-0.03192116320133209,
-0.015568018890917301,
0.017022754997015,
-0.01171587873250246,
-0.015014157630503178,
0.003306945785880089,
-0.022165685892105103,
0.014944277703762054,
0.033144280314445496,
-0.00824747234582901,
-0.013537893071770668,
-0.007005603052675724,
-0.025722255930304527,
0.042449451982975006,
-0.02804119884967804,
0.01934349164366722,
-0.03731255233287811,
0.023297367617487907,
0.009886846877634525,
-0.042104512453079224,
0.0007481817156076431,
0.015364025719463825,
-0.01656501181423664,
0.024919860064983368,
-0.046087756752967834,
0.03224406763911247,
-0.05941472202539444,
0.019745951518416405,
-0.01094144769012928,
-0.035167813301086426,
-0.038366567343473434,
-0.05174570530653,
0.0055043515749275684,
0.028558094054460526,
0.010301529429852962,
0.012901579029858112,
0.033719196915626526,
-0.002522482769563794,
-0.00275196204893291,
0.009716935455799103,
-0.06302853673696518,
0.020862258970737457,
0.05101685971021652,
-0.005994887091219425,
-0.000695211929269135,
-0.05415946617722511,
-0.023962359875440598,
-0.010696891695261002,
-0.03914446383714676,
0.04690934345126152,
-0.013496520929038525,
0.03657441958785057,
0.023535940796136856,
0.037094250321388245,
0.006516267545521259,
-0.029083380475640297,
0.019571729004383087,
-0.04661779850721359,
-0.008198417723178864,
-0.08253630250692368,
0.0113450326025486,
0.027917126193642616,
-0.031892698258161545,
0.045534323900938034,
0.005312437191605568,
-0.0720565915107727,
0.0258647408336401,
-0.02690933085978031,
-0.06804763525724411,
0.018294664099812508,
-0.033372893929481506,
0.0020095466170459986,
0.009971501305699348,
-0.07172643393278122,
-0.04586154595017433,
-0.005331557709723711,
-0.03526576980948448,
-0.009429177269339561,
0.01656929776072502,
-0.004280180670320988,
-0.0021087266504764557,
0.040022630244493484,
-0.0020146570168435574,
0.013033264316618443,
-0.006479529198259115,
0.02553883194923401,
-0.019507091492414474,
0.0512830875813961,
-0.0180114284157753,
0.05514493212103844,
0.06544946879148483,
0.003878020215779543,
0.03429436683654785,
0.006268184166401625,
-0.019794516265392303,
-0.04558480530977249,
0.06771429628133774,
-0.009708384983241558,
-0.03695213049650192,
-0.0780855044722557,
0.048364367336034775,
0.006347157992422581,
-0.04145365208387375,
-0.06182464584708214,
0.05955839157104492,
-0.047822706401348114,
0.021972334012389183,
-0.0111473947763443,
0.006252721417695284,
0.012604421004652977,
0.061225034296512604,
0.011018314398825169,
0.00895435269922018,
0.058201394975185394,
0.023499153554439545,
-0.01686990074813366,
0.042205560952425,
0.05665934085845947,
0.09381917119026184,
-0.00550522655248642,
-0.012681071646511555,
0.0840618759393692,
0.014248961582779884,
-0.07063814997673035,
-0.009143904782831669,
-0.0019376118434593081,
-0.028107374906539917,
-0.014302014373242855,
0.010676052421331406,
0.09075310081243515,
0.003628187347203493,
0.04043978080153465,
-0.06377272307872772,
0.019948529079556465,
0.04476272314786911,
0.023076901212334633,
0.025404810905456543,
0.051263194531202316,
0.0291898250579834,
0.001726321061141789,
-0.05347490683197975,
-0.018066097050905228,
0.02250996232032776,
0.009253663942217827,
0.026737509295344353,
0.00921214185655117,
-0.04021335765719414,
0.018144886940717697,
0.024500647559762,
0.008272930979728699,
0.08622562140226364,
-0.0455300509929657,
-0.05701446905732155,
0.009168451651930809,
0.008043088018894196,
-0.01636372320353985,
0.00429215794429183,
0.030956851318478584,
-0.008980992250144482,
0.020131155848503113,
-0.0386819988489151,
0.04136138781905174,
0.013320373371243477,
-0.0017113029025495052,
0.025428611785173416,
0.000823945680167526,
-0.01600344106554985,
0.013992566615343094,
0.009922298602759838,
-0.052846550941467285,
-0.03214358165860176,
-0.04808774217963219,
-0.058425430208444595,
-0.05178895592689514,
-0.05606159567832947,
0.04480450972914696,
0.026754392310976982,
-0.046905118972063065,
0.017697006464004517,
-0.021434975787997246,
0.022581089287996292,
0.010258027352392673,
-0.05043993890285492,
-0.002130218781530857,
0.03938233479857445,
0.009575511328876019,
0.029364584013819695,
0.015857890248298645,
-0.003419463988393545,
-0.004758788738399744,
-0.05228682607412338,
0.00585911376401782,
-0.01814822293817997,
0.008797479793429375,
-0.024291399866342545,
-0.03592200577259064,
-0.07733462750911713,
-0.0005893534980714321,
0.03590170294046402,
-0.0588921457529068,
-0.06941995024681091,
0.04761112108826637,
-0.01983940601348877,
0.029866840690374374,
0.04462213069200516,
-0.01809622533619404,
-0.006811272352933884,
-0.027872523292899132,
-0.03557847440242767,
0.01444917544722557,
-0.003960861824452877,
0.04944618046283722,
-0.0059658316895365715,
0.05053793638944626,
0.054822735488414764,
-0.05356437712907791,
-0.04149208962917328,
0.03873353451490402,
-0.0040923128835856915,
-0.03700226917862892,
-0.04918481409549713,
-0.019030366092920303,
-0.03350774198770523,
-0.06723330914974213,
-0.024907510727643967,
0.039455488324165344,
-0.02065517008304596,
-0.051515836268663406,
-0.0036095459945499897,
0.008794483728706837,
0.0013304318999871612,
-0.057812806218862534,
-0.01286318339407444,
-0.012449526228010654,
-0.04659543186426163,
-0.03013461083173752,
-0.09006647765636444,
0.00806339643895626,
0.004250502213835716,
-0.016479747369885445,
0.0213323961943388,
-0.06482551246881485,
0.0019956324249505997,
0.012236631475389004,
0.04489261656999588,
0.020512644201517105,
-0.011644702404737473,
0.026791952550411224
] | null |
507 |
Which Attention Heads Matter for In-Context Learning?
|
https://openreview.net/forum?id=C7XmEByCFv
|
[
"Kayo Yin",
"Jacob Steinhardt"
] |
Poster
|
Large language models (LLMs) exhibit impressive in-context learning (ICL) capability, enabling them to generate relevant responses from a handful of task demonstrations in the prompt.
Prior studies have suggested two different explanations for the mechanisms behind ICL:
induction heads that find and copy relevant tokens, and function vector (FV) heads whose activations compute a latent encoding of the ICL task.
To better understand which of the two distinct mechanisms drives ICL, we study and compare induction heads and FV heads in 12 language models. Through detailed ablations, we find that few-shot ICL is driven primarily by FV heads, especially in larger models. We also find that FV and induction heads are connected: many FV heads
start as induction heads during training before transitioning to the FV mechanism. This leads us to speculate that induction facilitates learning the more complex FV mechanism for ICL.
|
interpretability, in-context learning, large language models, mechanistic interpretability, induction heads
|
We compare the role of induction heads and function vector (FV) heads in in-context learning (ICL), we find that FV heads drive most of few-shot ICL which challenges the popular belief that induction implements ICL.
| 13,318 |
2502.14010
|
[
-0.028756296262145042,
0.02362002059817314,
-0.01274131704121828,
0.027132628485560417,
0.004021527245640755,
-0.003405957715585828,
0.04601271450519562,
0.03890421986579895,
-0.044424671679735184,
0.007373826578259468,
-0.018696604296565056,
0.033549509942531586,
-0.037907324731349945,
-0.004692044109106064,
-0.007371794898062944,
0.041170135140419006,
0.04605904594063759,
-0.020542865619063377,
-0.011429529637098312,
0.0002625977504067123,
-0.00536152720451355,
-0.011242932640016079,
0.04313967376947403,
0.027403783053159714,
0.017264124006032944,
-0.027248401194810867,
0.005180642008781433,
-0.0281536765396595,
-0.021079394966363907,
-0.013700010254979134,
0.025782665237784386,
-0.01151274610310793,
0.020718706771731377,
-0.03730456903576851,
0.005605165846645832,
0.0013726609759032726,
-0.013764867559075356,
-0.033255212008953094,
0.020409975200891495,
0.01683073677122593,
-0.058329831808805466,
0.022591890767216682,
-0.013511202298104763,
-0.03220780938863754,
-0.08010721951723099,
0.004399511497467756,
-0.1161249503493309,
0.019390936940908432,
0.016962209716439247,
-0.03253959119319916,
-0.1296728551387787,
0.029049407690763474,
-0.012040547095239162,
-0.03651060163974762,
0.029198655858635902,
0.023197337985038757,
0.04180599004030228,
-0.07585799694061279,
-0.005526474677026272,
-0.05043817311525345,
-0.026995403692126274,
0.022804241627454758,
-0.004543671850115061,
0.017378974705934525,
0.017067043110728264,
-0.025797471404075623,
-0.003124691778793931,
0.03101380728185177,
-0.07706508785486221,
-0.05325428768992424,
-0.06357482820749283,
-0.011116505600512028,
-0.027361534535884857,
0.02321171946823597,
-0.014522147364914417,
-0.05300129950046539,
-0.005019580479711294,
0.024776455014944077,
0.0800861194729805,
0.012312723323702812,
0.009675733745098114,
0.019566209986805916,
0.028324401006102562,
0.026323536410927773,
0.011963981203734875,
-0.009006358683109283,
0.00045017560478299856,
-0.06022372841835022,
-0.03969825431704521,
0.045154768973588943,
-0.034739792346954346,
-0.05238223075866699,
-0.004094327334314585,
0.022102095186710358,
0.048721008002758026,
0.011334992945194244,
0.03978024423122406,
-0.0038773969281464815,
-0.014593482948839664,
0.04146035015583038,
-0.004904215224087238,
-0.028744589537382126,
0.01456193532794714,
0.020226333290338516,
-0.12218324840068817,
-0.03159380704164505,
0.006903140340000391,
-0.018618937581777573,
-0.005271335132420063,
-0.010328882373869419,
-0.055073194205760956,
-0.01861821860074997,
0.0009926938218995929,
-0.017367852851748466,
-0.09416401386260986,
0.019436735659837723,
0.0267231073230505,
0.056860197335481644,
0.0029786222148686647,
0.015060202218592167,
0.02873055264353752,
0.03798374533653259,
0.020482147112488747,
0.04673060402274132,
-0.0001846441300585866,
0.023958154022693634,
-0.018440574407577515,
0.027695918455719948,
-0.014561156742274761,
-0.06853871792554855,
0.015641482546925545,
0.032699983566999435,
0.018555885180830956,
0.0028728244360536337,
-0.011082381941378117,
0.0030612479895353317,
0.028168881312012672,
-0.0018178935861214995,
0.04485231637954712,
0.016260391101241112,
0.014301208779215813,
-0.025562414899468422,
0.04439814016222954,
-0.035744987428188324,
0.09429455548524857,
-0.02525613270699978,
-0.06524650752544403,
0.007066051475703716,
-0.00202969484962523,
-0.01132236234843731,
0.013492848724126816,
-0.003207311499863863,
0.01779484748840332,
-0.05983049049973488,
0.04042978584766388,
0.07746002078056335,
0.033146366477012634,
-0.010441096499562263,
0.03503897413611412,
0.01674993894994259,
0.001403310219757259,
0.005934205371886492,
-0.03339433670043945,
0.03538863733410835,
-0.0015337570803239942,
-0.029989127069711685,
0.010511868633329868,
0.022445647045969963,
-0.03772296383976936,
0.036500055342912674,
-0.032317351549863815,
-0.021238908171653748,
0.04964654520153999,
-0.03704763576388359,
-0.025390002876520157,
-0.019661860540509224,
0.05654682591557503,
-0.008162243291735649,
0.04807954654097557,
0.010289233177900314,
-0.07070235162973404,
0.030844924971461296,
-0.002178516471758485,
0.01178706530481577,
-0.0025493083521723747,
-0.02781439758837223,
0.03786255419254303,
-0.03077484481036663,
0.009375371970236301,
0.013139793649315834,
-0.062385838478803635,
0.012448025867342949,
-0.005763409659266472,
0.0032777120359241962,
0.09083141386508942,
-0.017717154696583748,
0.010144179686903954,
0.0483168289065361,
0.030145609751343727,
0.04686015844345093,
0.05018482357263565,
-0.017416059970855713,
0.0342259407043457,
0.01185991708189249,
-0.038560956716537476,
0.008738651871681213,
0.009326409548521042,
-0.06466612219810486,
-0.03397881239652634,
0.00797176081687212,
-0.03594282269477844,
0.011124222539365292,
0.01721038669347763,
0.015124164521694183,
-0.0022395949345082045,
0.004638362675905228,
-0.012807906605303288,
0.002424761652946472,
-0.0014372093137353659,
-0.07551517337560654,
0.06552644819021225,
0.00402015121653676,
-0.020194441080093384,
0.005831554532051086,
-0.0423746295273304,
0.08896515518426895,
0.058401912450790405,
-0.0411381796002388,
-0.025120940059423447,
0.017423000186681747,
0.013024279847741127,
0.0023326098453253508,
0.011065654456615448,
-0.03074677288532257,
-0.007394270971417427,
-0.02230367250740528,
-0.0076349289156496525,
-0.02242559753358364,
0.05280322581529617,
-0.024719636887311935,
-0.01754898391664028,
0.08040357381105423,
-0.0416155569255352,
0.03954437002539635,
-0.016231996938586235,
0.0412948876619339,
0.0378606952726841,
-0.024827314540743828,
-0.005644109100103378,
-0.011719423346221447,
-0.011323806829750538,
-0.008686087094247341,
-0.029922597110271454,
-0.011077512986958027,
0.03725704923272133,
-0.029892997816205025,
-0.04270854964852333,
-0.0019232833292335272,
0.07066767662763596,
0.06030572950839996,
0.029606854543089867,
0.05065285041928291,
-0.03205979987978935,
-0.010687747970223427,
0.007594588678330183,
-0.10607811063528061,
-0.0020039372611790895,
-0.02824699878692627,
0.04551610350608826,
-0.004435243085026741,
0.026152726262807846,
-0.0320267453789711,
0.03251141309738159,
-0.04279138892889023,
-0.03278263285756111,
-0.010223575867712498,
0.02233145385980606,
-0.025526508688926697,
-0.030520102009177208,
-0.031511835753917694,
-0.018340960144996643,
0.042750630527734756,
-0.002247755415737629,
-0.022319886833429337,
-0.016868501901626587,
-0.029302190989255905,
-0.034080129116773605,
-0.022094672545790672,
-0.008670492097735405,
0.0028157124761492014,
0.011899714358150959,
0.011698102578520775,
-0.00966364424675703,
0.024803079664707184,
-0.003306965809315443,
0.05192858725786209,
0.0337776280939579,
0.012635323219001293,
-0.004515366163104773,
0.0008102398714981973,
-0.025165673345327377,
0.0371348038315773,
-0.00681534456089139,
0.02503608912229538,
-0.009768852032721043,
0.022065019235014915,
0.009841994382441044,
0.0009989682585000992,
-0.2806241512298584,
-0.022531116381287575,
0.020890969783067703,
-0.0012762265978381038,
0.022645046934485435,
-0.0048700496554374695,
0.015094893053174019,
-0.02123655006289482,
-0.03559163212776184,
0.03364957869052887,
0.01083343755453825,
0.04264188930392265,
-0.005898770410567522,
0.03604515641927719,
0.029195524752140045,
0.05366676300764084,
0.008423425257205963,
-0.014620074070990086,
-0.007931413128972054,
0.06114863604307175,
-0.014015739783644676,
-0.07236944884061813,
-0.05620736628770828,
0.03945881128311157,
0.01657518371939659,
0.05040184408426285,
-0.08874518424272537,
0.014817367307841778,
-0.04497227817773819,
0.021021220833063126,
-0.04626564309000969,
-0.02163226529955864,
0.006227811332792044,
0.013024164363741875,
0.005449158139526844,
-0.0012298719957470894,
0.05742282047867775,
0.014763273298740387,
0.009722346439957619,
-0.012944855727255344,
0.0034076243173331022,
-0.05561152473092079,
0.015096662566065788,
0.0019334546523168683,
0.06150287762284279,
-0.019973590970039368,
-0.06787922233343124,
-0.06102819740772247,
-0.02994154766201973,
0.03588087111711502,
-0.039943162351846695,
-0.04136870056390762,
-0.038453422486782074,
0.02183365449309349,
0.021634036675095558,
-0.011592181399464607,
0.008414958603680134,
-0.01708368957042694,
-0.007065626792609692,
-0.00312199629843235,
-0.004159498959779739,
-0.046007074415683746,
-0.03356507420539856,
-0.06190570071339607,
-0.004103159531950951,
-0.03598856180906296,
-0.08014681935310364,
-0.045917946845293045,
0.04541122168302536,
0.04497578367590904,
0.0071143885143101215,
0.052974846214056015,
-0.010951564647257328,
-0.09773365408182144,
-0.010561006143689156,
-0.020130349323153496,
-0.001423918060027063,
-0.00834739301353693,
0.012899255380034447,
0.043608445674180984,
-0.0278752613812685,
-0.05095907300710678,
-0.0006445472245104611,
0.007547454442828894,
0.026190856471657753,
-0.011376135051250458,
0.012467038817703724,
-0.0029198445845395327,
-0.03234218433499336,
-0.00034556706668809056,
0.033293552696704865,
0.021775763481855392,
0.019782299175858498,
-0.00005629056613543071,
0.03098108433187008,
0.03953910991549492,
0.029424870386719704,
0.04624123126268387,
0.04197131469845772,
-0.018109016120433807,
0.03464551270008087,
-0.06279564648866653,
-0.03229948878288269,
-0.041709065437316895,
-0.056334950029850006,
0.03263474255800247,
-0.06922013312578201,
-0.025834346190094948,
0.03872222825884819,
-0.004746819846332073,
-0.0049134851433336735,
-0.032280128449201584,
0.020772067829966545,
0.010150020010769367,
-0.03811127319931984,
-0.005529346875846386,
0.004572367295622826,
0.031094200909137726,
0.03981367126107216,
-0.030163895338773727,
-0.03731163591146469,
0.0350189246237278,
-0.03546258062124252,
0.02307858131825924,
0.02154555730521679,
-0.006871198769658804,
-0.008465506136417389,
-0.007910991087555885,
-0.042042069137096405,
0.020671959966421127,
0.024047277867794037,
0.024509740993380547,
0.010392420925199986,
0.0384521558880806,
0.040967680513858795,
-0.013005441054701805,
0.03131365403532982,
-0.000019740355128305964,
-0.0013060448691248894,
-0.017969463020563126,
-0.0011609765933826566,
-0.00003878210191032849,
0.047166015952825546,
0.03499128669500351,
0.05008869618177414,
0.011674489825963974,
-0.03754980489611626,
-0.0007033101283013821,
-0.03179942071437836,
0.006428676191717386,
0.05623266100883484,
-0.04170920327305794,
-0.034014418721199036,
-0.03439968079328537,
0.006854973267763853,
-0.017264151945710182,
0.019772429019212723,
-0.01665719971060753,
0.010944266803562641,
-0.07775557041168213,
0.05295395851135254,
-0.032141029834747314,
0.00441746274009347,
0.022369764745235443,
0.021876977756619453,
0.03866313770413399,
-0.02660847268998623,
0.014249353669583797,
0.04170498251914978,
0.005591102875769138,
0.017889240756630898,
-0.016390327364206314,
-0.045052409172058105,
0.015081597492098808,
-0.038324274122714996,
0.03136115521192551,
-0.007502937689423561,
-0.007703800220042467,
0.014859522692859173,
0.004506994504481554,
-0.011066711507737637,
-0.017402993515133858,
0.021022455766797066,
0.015470081008970737,
0.08481964468955994,
-0.012326156720519066,
0.034440286457538605,
0.009677060879766941,
-0.015305601060390472,
0.0018763495609164238,
-0.028370970860123634,
-0.020502937957644463,
-0.0016056541353464127,
-0.036935724318027496,
-0.061230290681123734,
-0.022794419899582863,
0.0034251606557518244,
0.025037690997123718,
-0.021967951208353043,
-0.025879649445414543,
-0.02478288859128952,
0.01581631973385811,
-0.003891832660883665,
-0.025397785007953644,
0.03404635936021805,
-0.07189040631055832,
-0.007041017524898052,
0.0056446511298418045,
-0.011106668971478939,
0.0407450832426548,
-0.03995247185230255,
-0.015989497303962708,
-0.07212470471858978,
0.004028047434985638,
0.039308950304985046,
-0.050124865025281906,
-0.02768678404390812,
-0.06153140962123871,
0.013151142746210098,
0.0252530537545681,
0.015956198796629906,
0.0041594840586185455,
-0.03235452622175217,
-0.040008753538131714,
-0.013009089976549149,
0.04889567941427231,
-0.016064707189798355,
-0.007848084904253483,
0.023935426026582718,
-0.054979268461465836,
0.028874915093183517,
-0.034147050231695175,
0.05000511184334755,
0.06436403095722198,
-0.019806446507573128,
-0.00700336555019021,
-0.0022654279600828886,
0.055958155542612076,
0.013165140524506569,
0.00045905416482128203,
0.03400004655122757,
0.006699031218886375,
-0.037011198699474335,
0.02130824327468872,
-0.001440706430003047,
0.01611742377281189,
0.01852433942258358,
-0.002050975803285837,
-0.014953380450606346,
0.028487589210271835,
0.007643549237400293,
0.03769810125231743,
-0.000032682019082130864,
0.0014132835203781724,
0.027927104383707047,
-0.03917239233851433,
-0.027975445613265038,
-0.06530323624610901,
-0.04330705851316452,
0.012554880231618881,
0.0038515322376042604,
0.03408181294798851,
-0.04707183316349983,
0.06111176311969757,
0.031448643654584885,
0.045485030859708786,
-0.006576885003596544,
-0.029780596494674683,
0.056103985756635666,
-0.005688281264156103,
-0.015234746970236301,
-0.06942058354616165,
-0.04312243312597275,
0.0732216089963913,
-0.007938017137348652,
0.006058793980628252,
-0.032634835690259933,
-0.007719559594988823,
0.06626787036657333,
-0.018693458288908005,
-0.024554919451475143,
0.018165869638323784,
-0.010684139095246792,
0.021426016464829445,
0.030461905524134636,
-0.04778526723384857,
-0.027947871014475822,
-0.021034857258200645,
-0.03358358144760132,
0.007312988396733999,
-0.020422087982296944,
0.06302301585674286,
-0.018166178837418556,
0.018577774986624718,
0.007019294425845146,
0.006924307439476252,
-0.00013380570453591645,
0.08512915670871735,
0.012963680550456047,
0.02675989829003811,
-0.017316028475761414,
0.061964549124240875,
0.021756676957011223,
-0.00659693730995059,
0.005883471574634314,
-0.0072093834169209,
-0.012120499275624752,
-0.059278424829244614,
0.03900080546736717,
-0.005793068092316389,
-0.0007100212387740612,
-0.05750991776585579,
0.07096335291862488,
0.024165865033864975,
-0.009525769390165806,
-0.0270366370677948,
0.02337116375565529,
-0.04916929826140404,
-0.013438863679766655,
0.032738104462623596,
-0.002997215371578932,
-0.011471790261566639,
0.054175958037376404,
0.035041578114032745,
0.0479934960603714,
0.06457509845495224,
0.0039008217863738537,
-0.04847518354654312,
0.030163804069161415,
0.05941142141819,
0.06361914426088333,
0.06036338582634926,
0.01813492923974991,
0.07764419913291931,
-0.0072188652120530605,
-0.05749460682272911,
0.017527839168906212,
0.003172735683619976,
0.005247779656201601,
-0.04024660587310791,
0.03056686744093895,
0.08471844345331192,
0.0335816964507103,
0.0639163926243782,
-0.03554346039891243,
-0.013726938515901566,
0.04379577934741974,
0.022095154970884323,
0.018022757023572922,
0.05080239847302437,
0.05557360127568245,
-0.015234542079269886,
-0.054348573088645935,
-0.050154250115156174,
-0.030230926349759102,
-0.018230661749839783,
0.01660934090614319,
0.017117993906140327,
-0.006038696970790625,
-0.00681664515286684,
-0.0007246889872476459,
0.047344911843538284,
0.13345791399478912,
-0.015079578384757042,
0.00816951971501112,
-0.003533527720719576,
0.0001228439505212009,
0.03826314955949783,
0.028176020830869675,
-0.02377196028828621,
-0.004062938969582319,
0.0021663212683051825,
-0.006354542914777994,
-0.03635155409574509,
0.014199158176779747,
0.004233010578900576,
0.014774930663406849,
-0.03122694604098797,
-0.03579424321651459,
0.009993898682296276,
0.027019105851650238,
-0.02619185671210289,
-0.06205710768699646,
-0.032623741775751114,
-0.04340428113937378,
-0.04972829669713974,
-0.04373661056160927,
0.05386576056480408,
-0.01558275893330574,
-0.030790748074650764,
-0.01439501903951168,
-0.0006935897981747985,
0.016166698187589645,
-0.01081520039588213,
-0.06272145360708237,
-0.01118322554975748,
0.02286384627223015,
-0.0064491028897464275,
-0.03977188095450401,
0.03604608774185181,
0.01112037431448698,
-0.018379490822553635,
0.005848878063261509,
0.05249076336622238,
-0.0030232714489102364,
0.036413293331861496,
-0.01330365240573883,
-0.02097363956272602,
-0.10609399527311325,
0.011580951511859894,
0.007356136571615934,
-0.012633169069886208,
-0.08830145001411438,
0.033688802272081375,
-0.023107992485165596,
0.03165217489004135,
0.06437448412179947,
0.01007808931171894,
0.022807521745562553,
-0.028448183089494705,
0.0016259511467069387,
0.026765543967485428,
0.02158547192811966,
0.0618426650762558,
-0.004362564999610186,
0.06640295684337616,
0.053088460117578506,
0.0118601368740201,
-0.03219827264547348,
-0.0014348874101415277,
-0.037485308945178986,
-0.003669137367978692,
-0.010907961055636406,
-0.021878192201256752,
-0.023067021742463112,
-0.08422024548053741,
-0.018689271062612534,
0.016536973416805267,
0.00762265594676137,
-0.0287127997726202,
-0.005510599818080664,
-0.036939460784196854,
-0.010412192903459072,
0.0055689685977995396,
0.0108319241553545,
-0.0017410899745300412,
0.0024023072328418493,
-0.05333726108074188,
-0.05203289911150932,
-0.0013884956715628505,
-0.005351502448320389,
-0.014706102199852467,
-0.01729203388094902,
-0.026694446802139282,
0.010031940415501595,
0.00032858620397746563,
0.03627116605639458,
0.0001662422582739964,
0.013007145375013351,
-0.03280479833483696
] |
https://github.com/kayoyin/icl-heads
|
508 |
Byzantine-Resilient Federated Alternating Gradient Descent and Minimization for Partly-Decoupled Low Rank Matrix Learning
|
https://openreview.net/forum?id=iBOMvaa2aN
|
[
"Ankit Pratap Singh",
"Ahmed Ali Abbasi",
"Namrata Vaswani"
] |
Poster
|
This work has two contributions. First, we introduce a provably secure (Byzantine-resilient) sample- and communication-efficient alternating gradient descent (GD) and minimization based algorithms for solving the federated low rank matrix completion (LRMC) problem. This involves learning a low rank (LR) matrix from a small subset of its entries. Second, we extend our ideas to show how a special case of our algorithms also solves another partly-decoupled vertically federated LR matrix learning problem, that is LR column-wise sensing (LRCS), also referred to as multi-task linear representation learning in the literature. Finally, we also show how our results can be extended for the LR phase retrieval problem. In all problems, we consider column-wise or vertical federation, i.e. each node observes a small subset of entries of a disjoint column sub-matrix of the entire LR matrix. For the LRMC problem, horizontal federation is equivalent since it is symmetric across rows and columns; while for the other two it is not. In all problems, the data at different nodes is heterogeneous (not identically distributed), making it harder to obtain provable guarantees.
|
Byzantine robustness, Low Rank Matrix Recovery, Multi-Task Representation Learning
| null | 13,313 | null |
[
-0.012938600033521652,
-0.04874032363295555,
0.003026219317689538,
0.04378417506814003,
0.04389633610844612,
0.010282217524945736,
0.02868703566491604,
-0.02461402490735054,
-0.018814219161868095,
-0.037740081548690796,
0.005395041778683662,
-0.013278969563543797,
-0.06440027058124542,
0.011514623649418354,
-0.01702718995511532,
0.056501418352127075,
0.0488174632191658,
-0.010254892520606518,
0.011985600925981998,
0.03305827081203461,
-0.00604394031688571,
-0.026913650333881378,
0.04677262157201767,
0.012312973849475384,
0.013573551550507545,
0.016968322917819023,
0.020728545263409615,
0.009920029900968075,
-0.01479148305952549,
0.0016095854807645082,
0.057073596864938736,
-0.010972131974995136,
0.027878617867827415,
-0.025518426671624184,
0.041376784443855286,
0.032067857682704926,
-0.0009368047467432916,
0.038759294897317886,
-0.000527535448782146,
-0.0018115933053195477,
-0.01275597419589758,
0.010059230029582977,
-0.0221482515335083,
0.0414075069129467,
-0.05051087215542793,
0.03589032217860222,
-0.09815200418233871,
0.026400145143270493,
0.046432651579380035,
-0.05653051286935806,
-0.09956817328929901,
0.020236192271113396,
0.036564864218235016,
-0.026774480938911438,
0.03180062770843506,
0.03657786548137665,
0.025865588337183,
-0.07201923429965973,
0.003859923919662833,
-0.02626250497996807,
-0.05534311756491661,
0.0016653635539114475,
0.007686143275350332,
-0.012008985504508018,
-0.00930797029286623,
-0.03060685098171234,
0.03672577068209648,
0.06409261375665665,
-0.034048695117235184,
-0.011890881694853306,
-0.004218725487589836,
0.006597278174012899,
0.001527908374555409,
-0.004188662860542536,
0.002203946001827717,
-0.029815666377544403,
0.02988041378557682,
0.01446592342108488,
0.06870654970407486,
-0.011119903065264225,
-0.0023866426199674606,
0.02543310821056366,
0.00503505626693368,
0.023898856714367867,
-0.03248538076877594,
-0.0054593440145254135,
-0.06568117439746857,
-0.028306065127253532,
-0.0712018609046936,
0.0552864708006382,
-0.05059003829956055,
-0.036918360739946365,
0.005754595156759024,
0.012626434676349163,
0.005041652359068394,
-0.03498042747378349,
0.01459493301808834,
0.0050131878815591335,
0.03217624872922897,
0.014723866246640682,
-0.009295490570366383,
-0.01567872427403927,
-0.00915458146482706,
-0.018984690308570862,
-0.08983888477087021,
-0.009324411861598492,
-0.04413015767931938,
-0.01187798660248518,
-0.01640380173921585,
0.00821615755558014,
-0.02037268504500389,
0.006152165587991476,
0.006903913803398609,
-0.03515428677201271,
-0.10541468858718872,
0.06464195251464844,
0.02029656432569027,
0.009469554759562016,
-0.015849826857447624,
-0.02278723567724228,
0.07009468227624893,
0.0849408283829689,
-0.019728615880012512,
0.08281446248292923,
0.025368865579366684,
0.007999887689948082,
0.026576712727546692,
0.03583480417728424,
-0.07092570513486862,
-0.032793715596199036,
-0.0008662764448672533,
0.035280194133520126,
-0.0050912597216665745,
0.00958472490310669,
-0.023649509996175766,
-0.021238820627331734,
-0.02835674211382866,
0.0389861986041069,
0.030202053487300873,
-0.004406019579619169,
0.002806897507980466,
-0.004623263143002987,
0.034203220158815384,
-0.024073416367173195,
0.0653047114610672,
-0.004750479478389025,
0.051983851939439774,
-0.025859680026769638,
-0.04928840324282646,
-0.027002297341823578,
0.008855672553181648,
-0.0024429059121757746,
0.008267894387245178,
-0.08858122676610947,
0.008801435120403767,
0.03194576874375343,
0.03633236140012741,
0.006570226047188044,
-0.016203666105866432,
-0.00024289311841130257,
0.013386144302785397,
-0.02113211154937744,
-0.015382396057248116,
0.013183960691094398,
-0.012256273999810219,
-0.05943678691983223,
0.04797389730811119,
0.012359567917883396,
-0.006246240343898535,
-0.004392288159579039,
-0.030503492802381516,
-0.006667041685432196,
0.0398641861975193,
-0.017416030168533325,
0.0019993253517895937,
-0.00327591085806489,
0.05995744839310646,
0.015848441049456596,
0.05066223070025444,
-0.011062262579798698,
-0.08952170610427856,
0.05492972210049629,
0.006390821188688278,
-0.02110148034989834,
-0.006466688588261604,
0.030018635094165802,
0.08670330047607422,
-0.022991983219981194,
0.051753606647253036,
0.031260766088962555,
-0.06242525205016136,
0.0147803770378232,
0.04859026521444321,
-0.023878687992691994,
0.05111851170659065,
0.03003990650177002,
-0.03157621994614601,
0.000523032562341541,
0.000041686089389258996,
0.019042449072003365,
0.05065290257334709,
-0.022758806124329567,
0.04028347507119179,
0.02935587614774704,
-0.03910687565803528,
0.0410977266728878,
0.020568499341607094,
-0.022428739815950394,
-0.020089834928512573,
0.03150177001953125,
-0.02748272940516472,
-0.0093773128464818,
-0.015384526923298836,
-0.00438328180462122,
0.053253885358572006,
0.00888507068157196,
-0.04432106018066406,
0.013262564316391945,
-0.0016751212533563375,
-0.05502546578645706,
0.06295590102672577,
-0.004024405498057604,
-0.026309965178370476,
0.06064724177122116,
-0.06170772388577461,
0.08417866379022598,
0.058222681283950806,
-0.009961885400116444,
-0.017288971692323685,
0.040513478219509125,
0.009051826782524586,
-0.02877054736018181,
0.0057292780838906765,
-0.02673863060772419,
0.022981153801083565,
0.014052009209990501,
-0.0001598186936462298,
-0.0515403114259243,
0.08093944936990738,
-0.03223196044564247,
-0.004687500186264515,
0.04370217025279999,
-0.025961294770240784,
0.0647161602973938,
0.0008379247738048434,
-0.015332194045186043,
0.029083844274282455,
0.024645665660500526,
0.0027797205839306116,
-0.025645146146416664,
-0.03524588420987129,
-0.012608756311237812,
-0.0015767421573400497,
-0.03249755874276161,
0.049853239208459854,
-0.06231058016419411,
0.02399514801800251,
0.002854449674487114,
0.038606226444244385,
0.0486002191901207,
0.01965493895113468,
0.036769118160009384,
-0.006869956385344267,
-0.06876140087842941,
-0.027080215513706207,
-0.0963887944817543,
-0.04100931063294411,
-0.01923093944787979,
0.07564359158277512,
0.004250258672982454,
0.05664050579071045,
-0.009741386398673058,
0.004786959849298,
0.006295483559370041,
-0.016402438282966614,
0.031177807599306107,
0.016453903168439865,
-0.0009072758257389069,
-0.03488685190677643,
-0.0023298445157706738,
0.015008513815701008,
0.0688609927892685,
0.012468735687434673,
-0.010855579748749733,
-0.039736390113830566,
-0.01571214571595192,
0.01639365404844284,
-0.046333204954862595,
-0.006370405666530132,
-0.004392783623188734,
-0.013351164758205414,
0.03518540412187576,
-0.011789278127253056,
-0.004537324886769056,
0.0001427243259968236,
0.06023411080241203,
0.004753913264721632,
0.01818852312862873,
0.0014978083781898022,
0.023161735385656357,
-0.018658390268683434,
-0.000718127703294158,
-0.012457270175218582,
-0.009008947759866714,
-0.0394870787858963,
-0.037543218582868576,
0.00994094554334879,
-0.012045071460306644,
-0.2692462205886841,
-0.0025344588793814182,
-0.0181263480335474,
0.014070934616029263,
0.01633298769593239,
-0.053800370544195175,
0.022823607549071312,
-0.0005739314947277308,
-0.01913105510175228,
-0.018398232758045197,
0.011941095814108849,
0.0437270812690258,
0.04083491861820221,
0.04028648883104324,
0.031950823962688446,
0.02170809917151928,
-0.03817927464842796,
-0.03870402276515961,
0.02855794131755829,
0.008342371322214603,
-0.007140114903450012,
-0.061446454375982285,
-0.014500393532216549,
0.009334863163530827,
0.020716458559036255,
0.03185725957155228,
-0.059633366763591766,
0.006473052781075239,
-0.021197954192757607,
-0.00755230151116848,
-0.04151661694049835,
-0.0001930483995238319,
0.001745573477819562,
0.04252302646636963,
0.025063494220376015,
0.005090140271931887,
0.03902246057987213,
0.001929138321429491,
0.007720486260950565,
0.019373729825019836,
0.013485077768564224,
-0.033146437257528305,
-0.006729191169142723,
0.013134634122252464,
0.06165468320250511,
0.07180812209844589,
-0.022346924990415573,
0.005429308395832777,
-0.011024304665625095,
0.02786463312804699,
0.008817745372653008,
-0.047232553362846375,
-0.006512816995382309,
0.0038165091536939144,
-0.030764231458306313,
-0.03052598051726818,
-0.0138971246778965,
-0.016048677265644073,
0.01620466820895672,
0.04641471803188324,
-0.00012661195069085807,
-0.08570285886526108,
0.020270822569727898,
-0.05432446673512459,
-0.005112007725983858,
-0.04602239653468132,
-0.0701797604560852,
-0.0641639232635498,
0.05362015217542648,
0.014350931160151958,
-0.009775749407708645,
0.029004642739892006,
-0.019746527075767517,
-0.0928751602768898,
0.024855131283402443,
0.013420412316918373,
-0.028857678174972534,
0.00014315811858978122,
0.01916409656405449,
0.08650865405797958,
-0.03787326440215111,
-0.0527147576212883,
0.006339192856103182,
0.014133031480014324,
0.002303814748302102,
-0.012598827481269836,
0.031851571053266525,
0.04209199547767639,
-0.017872266471385956,
-0.02741149254143238,
0.02766706608235836,
0.005799197591841221,
0.03956048935651779,
0.010345474816858768,
0.06816169619560242,
0.056186094880104065,
0.0069155218079686165,
0.044996604323387146,
0.04879065230488777,
0.03042599745094776,
-0.008173570036888123,
-0.06239347904920578,
-0.01263740286231041,
-0.03167144954204559,
0.006941406521946192,
0.03238103538751602,
-0.05269896239042282,
0.0006735225324518979,
0.04245838150382042,
0.003743082983419299,
-0.02687695436179638,
-0.04829482361674309,
0.023273726925253868,
-0.032314758747816086,
0.01246106717735529,
-0.01285202894359827,
-0.010997844859957695,
0.05082384869456291,
0.02216503396630287,
-0.0030476802494376898,
-0.056220643222332,
0.057531651109457016,
-0.012479536235332489,
0.030941318720579147,
-0.027767017483711243,
0.02638433128595352,
0.006244839169085026,
-0.0322953462600708,
-0.022272180765867233,
-0.011675450950860977,
0.04457858204841614,
0.038977522403001785,
0.010653507895767689,
-0.0072388919070363045,
0.06078878045082092,
0.025326931849122047,
-0.02661258727312088,
-0.01767902635037899,
0.039534807205200195,
-0.016773473471403122,
0.05318406969308853,
0.006991235539317131,
0.007869183085858822,
0.006906980182975531,
0.02352001518011093,
0.03485751524567604,
0.00575488805770874,
0.005065740551799536,
0.020545719191432,
-0.003227472072467208,
-0.0039481716230511665,
-0.014364507049322128,
-0.0063515398651361465,
-0.015330508351325989,
0.01829710230231285,
0.009158749133348465,
0.04002466797828674,
-0.012201032601296902,
-0.020848125219345093,
-0.07003574818372726,
0.02450561337172985,
0.023399408906698227,
-0.018073242157697678,
-0.01546705886721611,
0.0366942323744297,
0.056317783892154694,
-0.013597148470580578,
-0.020653683692216873,
0.0195726677775383,
0.012025084346532822,
0.031978532671928406,
-0.012276086024940014,
-0.022339392453432083,
-0.03533129021525383,
-0.009685981087386608,
0.00841949786990881,
0.03135068342089653,
-0.012715714052319527,
-0.03340119495987892,
0.007906942628324032,
-0.0013788689393550158,
-0.032923467457294464,
-0.029670529067516327,
0.04703962057828903,
0.08247079700231552,
0.011989383026957512,
-0.004338611848652363,
-0.029819555580615997,
-0.049894027411937714,
0.05400986224412918,
0.006062398198992014,
0.022019052878022194,
-0.01392090879380703,
-0.035136494785547256,
0.008859226480126381,
-0.030787982046604156,
0.00842258706688881,
0.002272137440741062,
-0.004758062772452831,
-0.020589755848050117,
-0.01301193330436945,
0.01853100210428238,
-0.0345064252614975,
0.01851261965930462,
0.014882155694067478,
-0.07978770136833191,
0.021772155538201332,
0.023197408765554428,
-0.03879203647375107,
0.019970983266830444,
-0.020210321992635727,
-0.04315634444355965,
-0.03420351445674896,
0.011919028125703335,
0.02947240322828293,
-0.04935818538069725,
-0.04884474724531174,
0.015850083902478218,
-0.02016180381178856,
0.005343764089047909,
0.030873939394950867,
-0.005279736127704382,
-0.003006931394338608,
-0.020063994452357292,
-0.003132627112790942,
0.0383768305182457,
-0.010730039328336716,
-0.004290380515158176,
-0.03279818966984749,
0.004125287290662527,
0.0265358854085207,
-0.04651748016476631,
0.014086403883993626,
0.021222181618213654,
-0.007204309571534395,
0.04045381769537926,
-0.04209665209054947,
-0.0077160741202533245,
-0.05112288147211075,
-0.01680406741797924,
-0.01115559134632349,
-0.006270885467529297,
-0.05202869698405266,
-0.04141974449157715,
-0.003950285259634256,
0.03752734884619713,
0.03461991623044014,
0.026090314611792564,
0.00019330317445565015,
0.019348936155438423,
0.018880583345890045,
0.024839114397764206,
-0.030803093686699867,
-0.01507585309445858,
0.05421824008226395,
-0.015924064442515373,
-0.036818161606788635,
-0.063646599650383,
-0.0011958654504269361,
-0.0044843233190476894,
-0.035589929670095444,
0.04065816104412079,
-0.02226445823907852,
0.03547775372862816,
0.015794148668646812,
0.04847651720046997,
-0.012767834588885307,
-0.017444396391510963,
0.043226659297943115,
-0.025654764845967293,
-0.0123491445556283,
-0.06925690919160843,
0.004299124237149954,
0.0461575984954834,
-0.03344359248876572,
0.062629334628582,
0.01592513732612133,
-0.05873574689030647,
-0.004357485566288233,
-0.0028384875040501356,
-0.08451052755117416,
0.018490051850676537,
-0.04117904230952263,
-0.0026421293150633574,
0.013380732387304306,
-0.06942251324653625,
-0.022877827286720276,
-0.010563544929027557,
-0.0655767023563385,
-0.025650467723608017,
-0.01948227733373642,
0.01818171516060829,
-0.00903394352644682,
0.007334483787417412,
-0.047008857131004333,
-0.022084159776568413,
0.02100897952914238,
0.0407710038125515,
-0.01176391914486885,
0.03372695669531822,
-0.059346701949834824,
0.0345500148832798,
0.02610684186220169,
0.015466162003576756,
0.014263792894780636,
0.04822011664509773,
-0.007409424055367708,
-0.03529433533549309,
0.07091423869132996,
-0.01879333145916462,
-0.02798355184495449,
-0.07619565725326538,
0.049254924058914185,
0.03018169477581978,
-0.05103901028633118,
-0.046877164393663406,
0.038945022970438004,
-0.035738784819841385,
0.023580627515912056,
-0.0028866964858025312,
0.020074723288416862,
-0.006009012460708618,
0.08071129769086838,
-0.007891247980296612,
0.006637335754930973,
0.04823371767997742,
0.017257262021303177,
-0.024274040013551712,
0.002262942725792527,
0.06841322779655457,
0.0881970226764679,
0.035556767135858536,
-0.03312693163752556,
0.07007225602865219,
-0.01055538933724165,
-0.07631278783082962,
-0.002657567383721471,
-0.006237294990569353,
-0.010771804489195347,
-0.0167962908744812,
-0.0007893776637502015,
0.06890072673559189,
-0.021485794335603714,
0.06464128196239471,
-0.06129962205886841,
0.004336071200668812,
0.043680641800165176,
-0.003928889986127615,
0.004260759335011244,
0.028570931404829025,
0.006720759905874729,
0.028811421245336533,
-0.015401354990899563,
-0.026817703619599342,
0.0087578184902668,
0.007433168590068817,
0.057219043374061584,
-0.010116050951182842,
-0.02015691250562668,
0.02735878713428974,
0.007959217764437199,
-0.02456655353307724,
0.06966600567102432,
-0.05352497100830078,
-0.062448032200336456,
-0.014669137075543404,
0.015080232173204422,
-0.04110182076692581,
0.015125829726457596,
0.041824184358119965,
-0.03837672248482704,
0.005349453072994947,
-0.033911995589733124,
0.03637932240962982,
0.04212045297026634,
0.02482982724905014,
0.003289871383458376,
-0.00003628959893831052,
0.008261884562671185,
0.030401235446333885,
0.02512901835143566,
-0.0378725491464138,
-0.029209302738308907,
-0.05416872724890709,
-0.09158434718847275,
-0.04989757761359215,
-0.032511934638023376,
0.007677855435758829,
0.017484666779637337,
-0.032643482089042664,
0.00421034824103117,
-0.05700766667723656,
0.013662982732057571,
0.0039038448594510555,
-0.05406593903899193,
-0.0037153654266148806,
0.033302221447229385,
0.019401319324970245,
0.022856712341308594,
0.01760140247642994,
0.016983112320303917,
-0.0006549629615619779,
-0.0459444560110569,
0.028893956914544106,
-0.007836380042135715,
0.003128234762698412,
-0.02905435860157013,
-0.027276240289211273,
-0.07797713577747345,
0.014359935186803341,
0.009003475308418274,
-0.0513213686645031,
-0.06955159455537796,
0.02368389442563057,
-0.02422354742884636,
0.01273570116609335,
0.041303928941488266,
-0.0035390006378293037,
0.0005582928424701095,
-0.03744618594646454,
-0.05096064880490303,
0.0009736031061038375,
0.010781669057905674,
0.06612249463796616,
-0.019969526678323746,
0.067520372569561,
0.043130386620759964,
-0.033197809010744095,
-0.06507749110460281,
0.051597803831100464,
-0.02632220648229122,
-0.003288558218628168,
-0.04258580878376961,
-0.039063792675733566,
-0.016486601904034615,
-0.09597531706094742,
-0.018678881227970123,
-0.00391573179513216,
-0.005039603915065527,
-0.044815123081207275,
0.02524256706237793,
-0.0060243504121899605,
-0.011232041753828526,
-0.035432156175374985,
-0.000010500511962163728,
-0.04053119570016861,
-0.05238361284136772,
-0.043502841144800186,
-0.06290141493082047,
0.030476849526166916,
-0.009939824230968952,
-0.00779972318559885,
-0.0005004286649636924,
-0.0643715187907219,
0.01785380393266678,
0.010818099603056908,
0.025468310341238976,
0.05124640464782715,
0.0053053004667162895,
-0.0008004283881746233
] | null |
509 |
Constrained Pareto Set Identification with Bandit Feedback
|
https://openreview.net/forum?id=3BmllnhGpm
|
[
"Cyrille Kone",
"Emilie Kaufmann",
"Laura Richert"
] |
Poster
|
In this paper, we address the problem of identifying the Pareto Set under feasibility constraints in a multivariate bandit setting. Specifically, given a $K$-armed bandit with unknown means $\mu_1, \dots, \mu_K \in \mathbb{R}^d$, the goal is to identify the set of arms whose mean is not uniformly worse than that of another arm (i.e., not smaller for all objectives), while satisfying some known set of linear constraints, expressing, for example, some minimal performance on each objective. Our focus lies in fixed-confidence identification, for which we introduce an algorithm that significantly outperforms racing-like algorithms and the intuitive two-stage approach that first identifies feasible arms and then their Pareto Set. We further prove an information-theoretic lower bound on the sample complexity of any algorithm for constrained Pareto Set identification, showing that the sample complexity of our approach is near-optimal. Our theoretical results are supported by an extensive empirical evaluation on a series of benchmarks.
|
pure exploration, bandit, theoretical analysis, active learning, Pareto set identification, multi-objective bandits
|
We study the identification of the Pareto Set in multi-objective bandits under linear feasibility constraints.
| 13,304 |
2506.08127
|
[
-0.030925706028938293,
-0.01313323900103569,
-0.011267098598182201,
0.044303733855485916,
0.045783475041389465,
0.05533803999423981,
0.025670120492577553,
0.00017167438636533916,
-0.02039695531129837,
-0.04180236905813217,
-0.019833100959658623,
0.02014578878879547,
-0.05248412489891052,
-0.03552045300602913,
-0.040135111659765244,
0.06768257170915604,
0.01977943442761898,
0.008891592733561993,
0.023546991869807243,
0.040839292109012604,
-0.00556165911257267,
0.01897037774324417,
0.043339651077985764,
0.028650129213929176,
0.033675044775009155,
0.00938652828335762,
0.04147893562912941,
-0.0020601805299520493,
-0.017931347712874413,
-0.010349549353122711,
0.019299598410725594,
0.004849922377616167,
0.011019988916814327,
-0.037289492785930634,
-0.006115719676017761,
0.02490355260670185,
-0.010452133603394032,
-0.009572547860443592,
0.008275396190583706,
0.01794673129916191,
-0.056215375661849976,
0.014741678722202778,
-0.013940987177193165,
0.05428057536482811,
-0.05106458440423012,
0.013695302419364452,
-0.04795689880847931,
0.010305695235729218,
0.013789618387818336,
-0.0329313650727272,
-0.07316561043262482,
0.04423848167061806,
0.010082101449370384,
0.012621327303349972,
-0.014948733150959015,
0.04817066714167595,
0.04807255417108536,
-0.06370066106319427,
0.0004794666019733995,
-0.07670143991708755,
-0.022677792236208916,
0.00657888688147068,
0.01872626505792141,
0.027294183149933815,
-0.040940407663583755,
-0.0006356031517498195,
0.03906147927045822,
0.03116842545568943,
-0.016710983589291573,
-0.02282389998435974,
-0.0485772043466568,
-0.028662823140621185,
0.019627060741186142,
0.009754671715199947,
0.024627046659588814,
-0.07467243820428848,
0.025231149047613144,
0.025478007271885872,
0.0038283183239400387,
0.03192483261227608,
0.00011901588732143864,
0.007455885410308838,
0.021458137780427933,
0.02887568436563015,
0.018117757514119148,
-0.020441709086298943,
-0.03779983893036842,
-0.043776147067546844,
-0.07390810549259186,
0.029956430196762085,
-0.0399702750146389,
-0.042000822722911835,
0.017848728224635124,
0.03332557529211044,
-0.013952364213764668,
-0.03567856550216675,
0.02946404553949833,
0.032667290419340134,
-0.0038347288500517607,
-0.009516029618680477,
-0.024868950247764587,
-0.02807661145925522,
0.00810015108436346,
-0.021180324256420135,
-0.11708120256662369,
-0.01606963574886322,
-0.01641688495874405,
0.0014553668443113565,
-0.008379551582038403,
0.00791145395487547,
-0.049013420939445496,
-0.0031779746059328318,
0.00819403026252985,
-0.00521859573200345,
-0.09114353358745575,
0.04271618649363518,
0.0011330641573294997,
0.026078704744577408,
0.0005423738621175289,
-0.005254330579191446,
0.03289585933089256,
0.05911308154463768,
-0.026659611612558365,
0.08079057931900024,
-0.0012612807331606746,
-0.004066480323672295,
0.04037177190184593,
0.03112208843231201,
-0.008289936929941177,
-0.0638568103313446,
0.036185555160045624,
0.03137713670730591,
-0.020681040361523628,
-0.01867557130753994,
-0.028617583215236664,
-0.0193923432379961,
-0.007060899864882231,
0.018813475966453552,
0.03007257916033268,
0.003193149110302329,
-0.016662007197737694,
-0.03614439815282822,
0.04839812219142914,
0.017665384337306023,
0.04932218790054321,
-0.01912124641239643,
0.045483626425266266,
-0.047337938100099564,
-0.049327462911605835,
-0.013807173818349838,
0.013926317915320396,
-0.015748433768749237,
0.009841786697506905,
-0.011143212206661701,
0.008776270784437656,
0.0405912771821022,
0.034356988966464996,
0.02638481929898262,
-0.013177326880395412,
0.031929291784763336,
0.027313638478517532,
0.001708821626380086,
0.017867324873805046,
-0.032299239188432693,
0.0006908059003762901,
-0.04549647495150566,
0.06865541636943817,
0.06516935676336288,
-0.029391687363386154,
-0.0393117256462574,
-0.03888256102800369,
-0.0236101932823658,
0.04880339279770851,
0.007234005723148584,
-0.012141049839556217,
0.007329327519983053,
0.06970043480396271,
-0.0014084991998970509,
0.05760329216718674,
0.03928767144680023,
-0.07976749539375305,
0.0016839014133438468,
0.02373257279396057,
0.0044680191203951836,
0.011860830709338188,
-0.0206245519220829,
0.07385551184415817,
0.010040228255093098,
0.028107568621635437,
0.025493348017334938,
-0.05321847274899483,
-0.029428977519273758,
0.021120961755514145,
-0.03189339488744736,
0.053974829614162445,
0.008052981458604336,
-0.014894422143697739,
0.03025888279080391,
0.011134227737784386,
0.025368690490722656,
0.02727685682475567,
-0.04384154453873634,
0.039318062365055084,
-0.020489402115345,
-0.030433012172579765,
-0.002397964708507061,
0.03994150087237358,
-0.06526577472686768,
-0.0395049974322319,
0.024565890431404114,
-0.009398669004440308,
0.01605387218296528,
-0.010040129534900188,
-0.03193916007876396,
0.036432765424251556,
-0.004601732827723026,
0.007068794686347246,
0.02266267128288746,
0.05533035844564438,
-0.037070631980895996,
0.03542613238096237,
0.03360126540064812,
-0.015107931569218636,
0.02846265584230423,
0.006885685957968235,
0.08880902826786041,
0.09197981655597687,
-0.019313277676701546,
0.014745899476110935,
0.01636134833097458,
0.0085208835080266,
-0.004036426078528166,
0.014169599860906601,
-0.03235163167119026,
0.03417790308594704,
0.0164734348654747,
-0.03497565910220146,
-0.041623711585998535,
0.07936792820692062,
-0.046860601752996445,
0.0011922488920390606,
0.06483634561300278,
-0.02176901139318943,
0.05639159679412842,
0.0070906332693994045,
-0.005038919858634472,
0.028778590261936188,
0.05256997421383858,
-0.03727414831519127,
-0.037629492580890656,
-0.04240071773529053,
-0.0049142539501190186,
0.023245571181178093,
-0.012827688828110695,
0.0026347630191594362,
-0.046415381133556366,
0.012737096287310123,
-0.019470546394586563,
0.07453035563230515,
0.05818244069814682,
0.012435449287295341,
0.03622566908597946,
0.001127212424762547,
-0.02641177736222744,
-0.0146154360845685,
-0.11343974620103836,
-0.05930165946483612,
0.01422769483178854,
0.05161421746015549,
0.023821238428354263,
0.030649486929178238,
-0.03106721118092537,
0.0028910378459841013,
-0.010733526200056076,
-0.018328405916690826,
0.017826160416007042,
0.0332617312669754,
0.019805876538157463,
-0.04470619559288025,
0.006531720981001854,
0.03989213705062866,
0.0654224082827568,
0.01426195353269577,
-0.013971968553960323,
-0.01563876122236252,
-0.05765833333134651,
-0.0022283997386693954,
-0.03284204378724098,
-0.04608885943889618,
0.02525937184691429,
-0.028310181573033333,
0.013392888009548187,
-0.05389394238591194,
0.019681988283991814,
0.04255540296435356,
0.017951184883713722,
0.016119087114930153,
0.036719415336847305,
0.017636388540267944,
-0.020356204360723495,
0.00727402837947011,
0.018108049407601357,
-0.035335723310709,
0.004678862169384956,
-0.005638075526803732,
-0.013823178596794605,
0.05093939229846001,
0.007467505522072315,
-0.2625023126602173,
-0.01932796649634838,
0.0051024979911744595,
0.006878062151372433,
0.015590805560350418,
-0.024343077093362808,
0.03196421265602112,
-0.02524455077946186,
-0.04688745364546776,
0.02777324616909027,
0.032536376267671585,
0.006789349485188723,
-0.013787694275379181,
0.08643685281276703,
0.048073869198560715,
0.04374207556247711,
-0.01601114682853222,
-0.026206012815237045,
0.005437491461634636,
0.01646917685866356,
-0.013609811663627625,
-0.08305846154689789,
-0.0009914225665852427,
0.027674172073602676,
-0.011379804462194443,
0.058192260563373566,
-0.034584686160087585,
-0.014551946893334389,
-0.06647016853094101,
-0.0166461318731308,
-0.025386134162545204,
-0.033121488988399506,
-0.04523909464478493,
0.027155933901667595,
0.030325856059789658,
0.008709277026355267,
0.03091294690966606,
-0.026314470916986465,
0.013379988260567188,
0.03260597214102745,
-0.013135368004441261,
0.004948287270963192,
-0.0050531914457678795,
0.004587145056575537,
0.0509183406829834,
0.02871883660554886,
0.021534999832510948,
-0.00964618194848299,
-0.0018527383217588067,
0.03500157594680786,
0.04869154468178749,
-0.03916165605187416,
-0.009453597478568554,
0.010792093351483345,
-0.006123994942754507,
-0.009327514097094536,
0.0030988927464932203,
-0.04085181653499603,
-0.0115383705124259,
0.04385032132267952,
0.005504287779331207,
-0.04048910737037659,
0.0016876732697710395,
-0.022960862144827843,
-0.028498206287622452,
-0.04191535711288452,
-0.045684851706027985,
-0.07106690108776093,
0.04271966591477394,
0.018574580550193787,
0.017510652542114258,
-0.02213190495967865,
-0.008626761846244335,
-0.10311563313007355,
0.017531882971525192,
-0.023517580702900887,
0.0030675779562443495,
0.03427451476454735,
-0.005636640824377537,
0.05718425661325455,
-0.04923034831881523,
-0.045102864503860474,
0.013870498165488243,
-0.0009278306970372796,
0.02372714877128601,
-0.03536667302250862,
0.0041738045401871204,
-0.01097053475677967,
-0.017864901572465897,
-0.017399320378899574,
0.0028018360026180744,
0.019576456397771835,
0.032422032207250595,
-0.01026774663478136,
0.0506797693669796,
0.049919795244932175,
0.05083511024713516,
0.009503640234470367,
0.038681093603372574,
0.017877893522381783,
-0.0046463157050311565,
-0.10282478481531143,
-0.005496073979884386,
-0.02640852890908718,
-0.02881261333823204,
0.029087061062455177,
-0.05177246034145355,
-0.012131095863878727,
0.0685831680893898,
-0.03542843833565712,
-0.011260485276579857,
-0.059316977858543396,
-0.02588711865246296,
-0.030295632779598236,
0.0013945690589025617,
-0.04273856803774834,
-0.010435791686177254,
0.05275818333029747,
0.053508445620536804,
-0.009195665828883648,
-0.0535992756485939,
0.05558968335390091,
0.0075496165081858635,
-0.01572292111814022,
-0.036606475710868835,
0.007029620464891195,
-0.0061337389051914215,
-0.02908228151500225,
0.013818643055856228,
-0.04470796883106232,
0.06589891016483307,
0.051165640354156494,
0.011178012937307358,
0.02838987112045288,
0.03829319030046463,
0.013924412429332733,
-0.016509288921952248,
-0.015345651656389236,
0.020221106708049774,
-0.02707234025001526,
0.0011057376395910978,
0.0148793775588274,
0.010279693640768528,
0.028554655611515045,
0.03149241581559181,
0.008070312440395355,
0.02626078948378563,
-0.006041716784238815,
-0.0029279578011482954,
-0.014968521893024445,
-0.003705210518091917,
-0.023999448865652084,
0.018663380295038223,
-0.008899514563381672,
0.01803227700293064,
-0.01772707886993885,
0.03909185901284218,
0.012735798954963684,
0.022615870460867882,
-0.08197417110204697,
0.03729769587516785,
-0.03101656213402748,
-0.02703666128218174,
0.030281897634267807,
0.031067760661244392,
0.07688359171152115,
-0.0366600900888443,
-0.006462130695581436,
-0.013087994419038296,
0.029946619644761086,
0.03953880816698074,
-0.021320315077900887,
-0.03026607260107994,
-0.016366861760616302,
-0.04269707575440407,
-0.06942231208086014,
0.015755631029605865,
-0.01812547817826271,
-0.0882347896695137,
-0.020086152479052544,
-0.0054806871339678764,
-0.03957748040556908,
-0.007969018071889877,
-0.0036935824900865555,
0.06921008974313736,
-0.013893266208469868,
0.013662746176123619,
-0.03546244278550148,
-0.0015415407251566648,
0.01633535698056221,
-0.02417694963514805,
0.022873498499393463,
-0.01760627143085003,
-0.02663620375096798,
-0.006199774798005819,
-0.027147388085722923,
-0.00040408846689388156,
0.004119645804166794,
-0.026897387579083443,
0.011692632921040058,
-0.008223886601626873,
-0.009805742651224136,
-0.035104554146528244,
-0.006617532577365637,
0.053444501012563705,
-0.050411853939294815,
0.0037512616254389286,
0.023016834631562233,
-0.013882982544600964,
0.0456264466047287,
-0.07814182341098785,
-0.043827928602695465,
-0.006710552144795656,
0.044217780232429504,
0.034257009625434875,
-0.023978007957339287,
-0.04180549830198288,
0.010593212209641933,
-0.017225846648216248,
-0.02176709473133087,
0.025281377136707306,
-0.008526003919541836,
-0.014040646143257618,
-0.015725528821349144,
-0.006074894685298204,
0.07128109782934189,
-0.01398108247667551,
-0.045768994837999344,
0.010319928638637066,
-0.007025366649031639,
0.012543562799692154,
-0.05302717164158821,
-0.026337625458836555,
0.032800767570734024,
-0.0012317727087065578,
0.029074203222990036,
-0.03932781517505646,
0.03886963054537773,
-0.06802316009998322,
-0.033312078565359116,
-0.02400864101946354,
0.002529748948290944,
-0.02294902876019478,
-0.0164193008095026,
0.0007688775076530874,
0.022694220766425133,
0.007685735821723938,
0.004491761792451143,
0.016523586586117744,
0.007197207305580378,
0.005077147390693426,
0.012054375372827053,
-0.05204305797815323,
-0.0013008929090574384,
0.06574074923992157,
0.020523840561509132,
-0.016118120402097702,
-0.0217256098985672,
-0.013712570071220398,
0.025344468653202057,
-0.05526214838027954,
0.041477661579847336,
0.0025189255829900503,
0.026106281206011772,
0.012795844115316868,
0.04853340610861778,
-0.007730480749160051,
-0.026077309623360634,
0.02151491679251194,
-0.07615478336811066,
-0.011860063299536705,
-0.08097032457590103,
0.03485351800918579,
0.039583124220371246,
-0.02922356314957142,
0.017285505309700966,
0.023304663598537445,
-0.042031288146972656,
0.023716503754258156,
-0.03222355246543884,
-0.069569431245327,
0.006753123365342617,
-0.05098172649741173,
-0.014232897199690342,
0.040424980223178864,
-0.050448935478925705,
-0.024369899183511734,
0.015272211283445358,
-0.05552143231034279,
0.01255290862172842,
0.023245764896273613,
0.038340091705322266,
0.01185513660311699,
-0.014646569266915321,
-0.04963764548301697,
0.009583770297467709,
0.03896709904074669,
0.0205575842410326,
0.02369525097310543,
0.01281734835356474,
-0.053606607019901276,
0.0101185766980052,
0.029252836480736732,
0.02963315322995186,
-0.0015575530705973506,
0.025839895009994507,
-0.008877965621650219,
-0.03703727573156357,
0.022689662873744965,
-0.017422720789909363,
-0.032694004476070404,
-0.05881383642554283,
0.06801897287368774,
0.02460232935845852,
-0.05958249047398567,
-0.03290718421339989,
0.010695649310946465,
-0.06004205346107483,
0.024178853258490562,
0.006808918435126543,
-0.004950651433318853,
-0.0017904100241139531,
0.07949383556842804,
0.01852002553641796,
0.0342157818377018,
0.056900233030319214,
-0.020435091108083725,
0.00016765356122050434,
-0.03317319601774216,
0.08657488971948624,
0.0603397898375988,
0.05745333060622215,
-0.012609383091330528,
0.04776369780302048,
-0.07912532985210419,
-0.030066076666116714,
0.024018624797463417,
-0.022499240934848785,
0.008668012917041779,
-0.023632897064089775,
-0.016495998948812485,
0.04550202563405037,
0.010345229879021645,
0.048681922256946564,
-0.03987409919500351,
-0.0028959920164197683,
0.03338470309972763,
-0.015118314884603024,
0.01653030887246132,
0.059513650834560394,
0.017012976109981537,
0.010228936560451984,
-0.03638630732893944,
-0.026595136150717735,
-0.0023826221004128456,
0.008644665591418743,
0.01400358509272337,
0.0051084537990391254,
-0.018554234877228737,
0.03759337216615677,
0.04111293703317642,
0.017719410359859467,
0.07289484888315201,
-0.05553464964032173,
-0.03487823158502579,
-0.006006039213389158,
0.024408390745520592,
0.0009752186597324908,
0.06973525136709213,
0.03343077376484871,
-0.011036349460482597,
0.009736103005707264,
-0.0229702889919281,
0.02498987875878811,
-0.00023735326249152422,
0.012653380632400513,
-0.0064863478764891624,
0.0006292848847806454,
0.010919973254203796,
0.03332962468266487,
0.03785049915313721,
-0.0555599220097065,
-0.04469124600291252,
-0.015057425945997238,
-0.045560453087091446,
-0.05005048215389252,
-0.05606824904680252,
0.0069411699660122395,
0.012391900643706322,
-0.06126253679394722,
0.018071867525577545,
-0.011611036956310272,
0.003958825021982193,
0.010101440362632275,
-0.038091931492090225,
-0.018792206421494484,
0.02830793336033821,
0.03386443853378296,
0.06396215409040451,
0.02081218734383583,
0.030913272872567177,
0.008530039340257645,
-0.04799797758460045,
0.017439935356378555,
0.03839524835348129,
0.0444556400179863,
-0.024800041690468788,
-0.015435002744197845,
-0.08656270802021027,
-0.02587953209877014,
0.029522744938731194,
-0.03154841810464859,
-0.06642831116914749,
0.019860411062836647,
-0.05343415215611458,
0.013397077098488808,
0.0667731761932373,
-0.009696215391159058,
-0.000092971051344648,
-0.02106272242963314,
-0.0016807649517431855,
-0.007567273918539286,
-0.0015047617489472032,
0.021679352968931198,
-0.021501556038856506,
0.04539533704519272,
0.020968148484826088,
-0.06159716472029686,
-0.08022890985012054,
0.07140065729618073,
-0.02341177500784397,
0.020761944353580475,
-0.03410165756940842,
-0.03223549947142601,
-0.03316725045442581,
-0.11841065436601639,
-0.0037964184302836657,
0.035134218633174896,
-0.014185789972543716,
-0.029034266248345375,
0.0014658629661425948,
0.01638917438685894,
-0.0007795846904627979,
0.023326119408011436,
-0.028608955442905426,
-0.004881774540990591,
-0.04138341546058655,
-0.013041072525084019,
-0.07629382610321045,
0.03991599380970001,
-0.043232664465904236,
-0.006769203580915928,
-0.043135423213243484,
-0.05131025239825249,
-0.030370919033885002,
0.0024337079375982285,
0.017600167542696,
0.03581162542104721,
0.011967865750193596,
0.012552140280604362
] | null |
510 |
A Theoretical Framework For Overfitting In Energy-based Modeling
|
https://openreview.net/forum?id=SDC3D4vdpb
|
[
"Giovanni Catania",
"Aurélien Decelle",
"Cyril Furtlehner",
"Beatriz Seoane"
] |
Poster
|
We investigate the impact of limited data on training pairwise energy-based models for inverse problems aimed at identifying interaction networks. Utilizing the Gaussian model as testbed, we dissect training trajectories across the eigenbasis of the coupling matrix, exploiting the independent evolution of eigenmodes and revealing that the learning timescales are tied to the spectral decomposition of the empirical covariance matrix. We see that optimal points for early stopping arise from the interplay between these timescales and the initial conditions of training. Moreover, we show that finite data corrections can be accurately modeled through asymptotic random matrix theory calculations and provide the counterpart of generalized cross-validation in the energy based model context. Our analytical framework extends to binary-variable maximum-entropy pairwise models with minimal variations.
These findings offer strategies to control overfitting in discrete-variable models through empirical shrinkage corrections, improving the management of overfitting in energy-based generative models.
Finally, we propose a generalization to arbitrary energy-based models by deriving the neural tangent kernel dynamics of the score function under the score-matching algorithm.
|
energy-based models, overfitting, random-matrix theory, inverse problems, early-stopping, training dynamics, Bolzmann Machine
|
We analyze the impact of limited data in the training of energy-based models, focusing on eigenmodes' dynamics, giving a theoretical perspective of early-stopping and data-correction protocols to improve the quality of the inferred model
| 13,303 |
2501.19158
|
[
-0.019029822200536728,
-0.020894797518849373,
0.004695768002420664,
0.044633980840444565,
0.03436647728085518,
0.012064824812114239,
0.02915921062231064,
0.029627913609147072,
-0.0274824071675539,
-0.048595380038022995,
0.029542066156864166,
0.03934195637702942,
-0.08149128407239914,
-0.025481773540377617,
-0.0012635882012546062,
0.06411509960889816,
0.03223097696900368,
0.012383458204567432,
-0.003204873064532876,
0.042587216943502426,
0.011585453525185585,
-0.0037681215908378363,
0.05111965164542198,
0.011964526027441025,
0.01766124740242958,
-0.002677115611732006,
-0.008509674109518528,
0.0021354679483920336,
-0.02618962712585926,
0.023657197132706642,
0.029073486104607582,
0.006141853518784046,
-0.013595370575785637,
-0.027868375182151794,
0.012945098802447319,
0.03692309558391571,
-0.05466339364647865,
-0.012083608657121658,
-0.014488638378679752,
0.019204040989279747,
-0.0500965379178524,
-0.003057733876630664,
-0.02916429564356804,
0.026822250336408615,
-0.01806589774787426,
0.026857947930693626,
-0.09152458608150482,
0.02220860682427883,
0.025514112785458565,
-0.05895247310400009,
-0.07791728526353836,
0.021536769345402718,
0.004758970346301794,
-0.015669412910938263,
-0.0018465738976374269,
0.029102137312293053,
0.047208696603775024,
-0.046207837760448456,
-0.011880448088049889,
-0.04847908020019531,
-0.017305798828601837,
0.03689553216099739,
-0.002451700856909156,
-0.005386820062994957,
-0.005799397360533476,
0.0026739216409623623,
0.010663928464055061,
0.05200125277042389,
-0.013387230224907398,
-0.018245821818709373,
-0.00041324691846966743,
0.0014691100222989917,
-0.015381654724478722,
-0.006057196296751499,
0.023937083780765533,
-0.03795669600367546,
0.047632865607738495,
-0.00557653559371829,
0.06956783682107925,
0.02871687337756157,
0.011591385118663311,
0.03100278228521347,
0.015796560794115067,
0.02142944000661373,
-0.014377670362591743,
0.018673276528716087,
-0.0146747762337327,
-0.030816255137324333,
-0.07983915507793427,
0.048226047307252884,
-0.023025237023830414,
-0.04131576418876648,
-0.004200827796012163,
0.07509439438581467,
-0.0026226521003991365,
-0.014795309863984585,
0.023183146491646767,
-0.005357521586120129,
-0.032631464302539825,
0.019076813012361526,
-0.016047688201069832,
-0.005789482034742832,
-0.01989310048520565,
0.01820828765630722,
-0.10896158218383789,
-0.030113110318779945,
-0.03705453872680664,
-0.008172493427991867,
-0.03630194440484047,
0.005026092287153006,
-0.05718297138810158,
-0.007491142489016056,
-0.022038863971829414,
-0.005766390822827816,
-0.09616652131080627,
0.013774251565337181,
-0.008198347873985767,
-0.0038074052426964045,
-0.007076348643749952,
-0.015283244661986828,
0.05269647389650345,
0.06840047240257263,
-0.010879061184823513,
0.0641394555568695,
0.0006851862417533994,
0.02117868699133396,
0.0479465126991272,
0.011571645736694336,
-0.06920072436332703,
-0.008411671966314316,
0.009835508652031422,
0.026503806933760643,
0.02682321146130562,
-0.0009817382087931037,
0.006879699882119894,
-0.029026096686720848,
0.037380434572696686,
-0.0008003847906365991,
0.029326824471354485,
0.022607287392020226,
0.005889150779694319,
-0.02869984693825245,
0.05762382969260216,
-0.03329694643616676,
0.062127530574798584,
-0.04481487721204758,
-0.042898114770650864,
-0.03998108580708504,
0.0031747338362038136,
0.013015835545957088,
-0.0020786907989531755,
-0.010066073387861252,
0.008366282097995281,
-0.054253142327070236,
0.017567772418260574,
0.043837931007146835,
-0.02812899649143219,
0.0015565076610073447,
0.0163432527333498,
-0.0017031701281666756,
0.031517110764980316,
-0.018375491723418236,
-0.0016180091770365834,
0.04547464847564697,
0.008097797632217407,
-0.06925157457590103,
0.04069149121642113,
0.00135685910936445,
-0.01677621342241764,
0.01511011365801096,
-0.04108681529760361,
-0.033587805926799774,
0.06857439875602722,
-0.023930242285132408,
-0.007747459691017866,
-0.00854399986565113,
0.03832095488905907,
0.020602978765964508,
0.0054177213460206985,
0.011231408454477787,
-0.09319841861724854,
0.027780747041106224,
0.05169130116701126,
-0.027763893827795982,
0.004328805021941662,
-0.04722023010253906,
0.10204314440488815,
-0.027300208806991577,
-0.01309689786285162,
0.028812365606427193,
-0.05917077884078026,
-0.011030944995582104,
0.054942768067121506,
-0.018942169845104218,
0.058127161115407944,
0.002085230080410838,
-0.005520948208868504,
0.042111292481422424,
0.029970016330480576,
0.01890350505709648,
0.05343544855713844,
-0.04175012186169624,
0.051747750490903854,
0.00341400015167892,
-0.0590234138071537,
-0.06444071978330612,
0.06530172377824783,
-0.08226366341114044,
-0.034814443439245224,
0.05073167011141777,
-0.0004921041545458138,
-0.026098191738128662,
-0.021644718945026398,
-0.011849937029182911,
0.01017927099019289,
0.0014344790251925588,
-0.006717178504914045,
0.010493433102965355,
0.007163609843701124,
-0.039603400975465775,
0.02844562567770481,
0.04667853191494942,
-0.018085740506649017,
0.01324155367910862,
0.005145953968167305,
0.10003459453582764,
0.10506664216518402,
0.006564986426383257,
0.0030679076444357634,
0.017199015244841576,
0.05567741021513939,
-0.0020203320309519768,
0.05121409893035889,
-0.007620535790920258,
0.02745409682393074,
-0.013157416135072708,
0.002296556020155549,
-0.026176027953624725,
0.06109976768493652,
-0.06957678496837616,
-0.009055285714566708,
0.06648709625005722,
-0.03595208004117012,
0.04557475447654724,
-0.005055707413703203,
0.017089590430259705,
0.06521660089492798,
-0.03397664800286293,
-0.050932448357343674,
-0.020485440269112587,
-0.028676940128207207,
0.014431677758693695,
0.030566981062293053,
-0.018952101469039917,
0.028023120015859604,
-0.05537588521838188,
-0.005648162215948105,
-0.01289625745266676,
0.0794748067855835,
0.04799465835094452,
0.021494045853614807,
-0.002517474116757512,
0.011077499948441982,
-0.0400831438601017,
-0.020468389615416527,
-0.1061277687549591,
-0.04350576177239418,
-0.04483899101614952,
0.016716130077838898,
-0.008149991743266582,
0.05901481956243515,
-0.011805509217083454,
0.008807538077235222,
-0.011402037926018238,
-0.0369720458984375,
0.012141271494328976,
0.03191317617893219,
-0.00448806444182992,
-0.03801500052213669,
0.01595628820359707,
0.022176126018166542,
0.06456337869167328,
-0.011322259902954102,
-0.06258691102266312,
-0.027512425556778908,
-0.06523770093917847,
-0.044574566185474396,
0.02167041227221489,
-0.02651827782392502,
0.00037979366607032716,
-0.00023393015726469457,
0.007645747624337673,
0.013698999769985676,
0.019026070833206177,
0.026716383174061775,
0.06832268834114075,
0.06278351694345474,
0.04636958986520767,
-0.02084624208509922,
0.035236719995737076,
0.014550399966537952,
0.015093659050762653,
-0.012319589965045452,
-0.0009714571642689407,
-0.03390084579586983,
-0.0015003470471128821,
0.004166754428297281,
-0.012157496996223927,
-0.28301894664764404,
-0.007949690334498882,
0.037686076015233994,
0.0024656907189637423,
0.0338224396109581,
-0.038584090769290924,
0.048569243401288986,
-0.01563645713031292,
-0.03822377324104309,
0.025620415806770325,
0.00004746242848341353,
0.025949904695153236,
0.0007834957214072347,
0.052852995693683624,
0.028568824753165245,
0.0033336339984089136,
0.05642709508538246,
0.0008434760384261608,
0.011086090467870235,
0.03985004872083664,
-0.02912822738289833,
-0.045202188193798065,
-0.058384936302900314,
0.03224506601691246,
-0.030249053612351418,
0.031121622771024704,
-0.05533277988433838,
-0.029414102435112,
-0.04945635050535202,
-0.00387732801027596,
-0.00993267446756363,
-0.0218821968883276,
-0.023190191015601158,
0.0783228725194931,
-0.011715705506503582,
0.02977580577135086,
0.009469839744269848,
0.006863343995064497,
0.013188214041292667,
0.006920671556144953,
-0.022716663777828217,
0.03680717572569847,
-0.044839806854724884,
0.025707319378852844,
0.06318998336791992,
0.014769269153475761,
-0.0014148155460134149,
0.0030192045960575342,
-0.005095825530588627,
0.02625654637813568,
-0.00024007298634387553,
-0.023149780929088593,
0.018105290830135345,
-0.007895112037658691,
-0.010137919336557388,
-0.03251974657177925,
0.02837127260863781,
0.004678151570260525,
0.006702125072479248,
0.007892676629126072,
0.02308419533073902,
-0.05264050513505936,
0.011370536871254444,
-0.04352860152721405,
-0.035147685557603836,
-0.04255038499832153,
-0.07420028746128082,
-0.06961091607809067,
0.039910294115543365,
0.02425175905227661,
-0.01636543497443199,
-0.004592034034430981,
-0.006736325565725565,
-0.0933665782213211,
0.05108677223324776,
-0.0014411044539883733,
0.003106220392510295,
-0.0367608368396759,
-0.0008121407590806484,
0.03841333091259003,
-0.02596026472747326,
-0.021680908277630806,
0.009298250079154968,
0.02660258486866951,
0.036680884659290314,
-0.010157469660043716,
-0.010755122639238834,
-0.017356567084789276,
-0.01975325122475624,
-0.02695479243993759,
0.02598828263580799,
-0.0075289104133844376,
0.03961372375488281,
-0.007089259102940559,
0.05937281250953674,
0.07959163188934326,
0.010186000727117062,
0.04098901525139809,
0.051672033965587616,
-0.032169122248888016,
0.0437278188765049,
-0.05868680030107498,
-0.028131039813160896,
-0.0532648041844368,
-0.03176707774400711,
0.035837866365909576,
-0.055150412023067474,
-0.01808478869497776,
0.02611442469060421,
-0.011959030292928219,
-0.011704259552061558,
-0.010259230621159077,
-0.023116599768400192,
-0.0004696552932728082,
-0.01621314510703087,
-0.0032976819202303886,
-0.006624770816415548,
0.05099425092339516,
0.056167688220739365,
0.005754745565354824,
-0.04160699248313904,
0.03953603282570839,
-0.019140390679240227,
-0.027372747659683228,
0.023674916476011276,
-0.03376031666994095,
0.013136080466210842,
-0.01261773332953453,
-0.023832017555832863,
0.0014541946584358811,
0.031460948288440704,
0.042401887476444244,
0.007596236653625965,
0.05810978636145592,
0.04649553447961807,
0.02175159566104412,
0.01043308712542057,
0.006243905983865261,
0.031571611762046814,
-0.019825944676995277,
0.021258389577269554,
-0.008731702342629433,
0.05269709974527359,
-0.0010667681926861405,
0.02872840128839016,
0.0385967381298542,
0.003860226133838296,
0.0089165810495615,
-0.005870861932635307,
-0.024097738787531853,
0.026479709893465042,
0.0071946620009839535,
-0.005768260452896357,
-0.03654002398252487,
-0.004242728929966688,
-0.0004105174448341131,
0.05231831222772598,
-0.013726425357162952,
0.03518913313746452,
-0.060248151421546936,
0.06257079541683197,
-0.001025744597427547,
-0.0294696856290102,
-0.017355715855956078,
-0.022740723565220833,
0.06642758846282959,
-0.029958488419651985,
0.015104992315173149,
0.0020181480795145035,
-0.0004254644154570997,
0.0007545186672359705,
-0.01910039596259594,
-0.033329758793115616,
-0.025118550285696983,
-0.01427413895726204,
0.0028772461228072643,
0.0023081758990883827,
-0.0173171479254961,
-0.01939314417541027,
-0.010062259621918201,
0.011366616934537888,
-0.01886857859790325,
-0.014555426314473152,
0.015619797632098198,
0.06363625824451447,
0.0013161780079826713,
-0.0009479354484938085,
-0.0174179095774889,
-0.013442415744066238,
0.05138096585869789,
-0.006634388118982315,
-0.002044019289314747,
-0.00182046159170568,
-0.030276227742433548,
0.005844371393322945,
-0.031044919043779373,
0.022186115384101868,
0.03622474893927574,
-0.023194601759314537,
0.0014494856586679816,
0.015919115394353867,
0.00567232072353363,
-0.049616940319538116,
0.02495679259300232,
0.045414481312036514,
-0.06832080334424973,
-0.010725229047238827,
0.004794250708073378,
-0.03158431872725487,
0.013684197328984737,
-0.018254170194268227,
-0.0529603473842144,
-0.057908643037080765,
0.009252139367163181,
0.016186857596039772,
-0.013964974321424961,
-0.002446998143568635,
-0.002152672503143549,
0.017291460186243057,
-0.01961682364344597,
0.016974426805973053,
-0.0017850302392616868,
-0.002154325135052204,
-0.03728320449590683,
0.004716772120445967,
0.03461425006389618,
-0.031352728605270386,
0.0067854030057787895,
-0.013674096204340458,
-0.019455477595329285,
0.020202064886689186,
-0.04388205707073212,
-0.0028681668918579817,
0.052211862057447433,
0.02010580338537693,
-0.011295603588223457,
-0.052249182015657425,
0.041180871427059174,
0.009002083912491798,
-0.016851145774126053,
-0.007504120469093323,
0.016973130404949188,
-0.027594510465860367,
-0.0003578190226107836,
-0.01886018179357052,
0.020263610407710075,
0.022230207920074463,
0.009238912723958492,
0.025531603023409843,
0.022783275693655014,
0.0013209030730649829,
-0.002412589266896248,
-0.08439195901155472,
-0.023650208488106728,
0.03265249729156494,
-0.00828266330063343,
-0.037265051156282425,
-0.07597480714321136,
-0.0049294293858110905,
0.015035934746265411,
-0.033533234149217606,
0.01772129163146019,
-0.01915895938873291,
0.03439335152506828,
0.03454173728823662,
0.020045572891831398,
-0.0013581932289525867,
-0.039317063987255096,
0.061413418501615524,
-0.03246062248945236,
-0.024891290813684464,
-0.05139400064945221,
-0.03789898753166199,
0.04211640730500221,
-0.034002382308244705,
0.02152564562857151,
0.014411301352083683,
-0.017172975465655327,
0.056529805064201355,
-0.030382579192519188,
-0.06297570466995239,
0.01921898126602173,
-0.02184593491256237,
-0.026075376197695732,
0.04445534199476242,
-0.04960343986749649,
-0.028768450021743774,
-0.02436489798128605,
-0.04419086128473282,
-0.0009192540892399848,
0.04734550788998604,
0.01912451907992363,
-0.06734616309404373,
-0.008145133033394814,
-0.03730165585875511,
0.02823028154671192,
0.013232662342488766,
0.0766633152961731,
0.016050124540925026,
0.015589197166264057,
-0.0609041191637516,
0.0705295279622078,
-0.0029800368938595057,
0.02348729409277439,
0.01683627814054489,
0.010259700939059258,
-0.0020452160388231277,
-0.059066299349069595,
0.014168277382850647,
-0.009709257632493973,
-0.024901133030653,
-0.05698039382696152,
0.03523700684309006,
0.02060701884329319,
-0.05300363525748253,
-0.02400461956858635,
0.04256731644272804,
-0.034360211342573166,
0.014954207465052605,
0.016887327656149864,
-0.009573083370923996,
-0.01815815642476082,
0.07472071796655655,
0.013666478917002678,
0.05098641663789749,
0.04399017244577408,
0.022034451365470886,
0.01744350604712963,
-0.015363293699920177,
0.06972148269414902,
0.04900764301419258,
0.02117861993610859,
0.043468546122312546,
0.06464123725891113,
-0.01906004175543785,
-0.05881059542298317,
0.016993187367916107,
0.020594937726855278,
-0.037125978618860245,
-0.01405431516468525,
-0.0018507206114009023,
0.11020778119564056,
0.043666645884513855,
0.07340004295110703,
-0.04647720977663994,
0.005851269233971834,
0.02021568827331066,
-0.010896685533225536,
-0.012342061847448349,
0.011119083501398563,
0.020413603633642197,
0.0005150875658728182,
-0.03165243938565254,
-0.023013778030872345,
-0.02898157201707363,
-0.01650923676788807,
0.04530634731054306,
0.0301936287432909,
-0.009647589176893234,
-0.008560644462704659,
0.005811081733554602,
0.02185152843594551,
0.07465966790914536,
-0.054842814803123474,
-0.04721103981137276,
-0.01331089623272419,
0.020855039358139038,
-0.03187654912471771,
0.042080990970134735,
-0.016950935125350952,
-0.023644937202334404,
0.012625913135707378,
-0.03547639399766922,
0.02003651298582554,
0.03048856556415558,
-0.026311935856938362,
0.011184181086719036,
-0.018790969625115395,
-0.0127419950440526,
0.03865615278482437,
0.03153684362769127,
-0.027537809684872627,
-0.06046799570322037,
-0.03623737394809723,
-0.04855755344033241,
-0.049504268914461136,
-0.03222658857703209,
0.02512267790734768,
0.01737956330180168,
-0.003382915398105979,
0.016895553097128868,
-0.023451613262295723,
0.011742710135877132,
0.04502646625041962,
-0.06697149574756622,
-0.001851243432611227,
0.04880067706108093,
-0.029592983424663544,
0.0241218414157629,
0.009546547196805477,
0.030543537810444832,
0.0179325919598341,
-0.04297272861003876,
0.06587274372577667,
-0.014455554075539112,
0.037266314029693604,
-0.03645573928952217,
-0.007884867489337921,
-0.09174181520938873,
0.014815835282206535,
0.007766863331198692,
-0.0707731619477272,
-0.07433023303747177,
0.02184908464550972,
0.0025654181372374296,
0.021992497146129608,
0.023934733122587204,
-0.020440157502889633,
0.01276913657784462,
-0.0672716423869133,
-0.011314889416098595,
-0.005597510375082493,
0.01831061765551567,
0.026571953669190407,
-0.027015846222639084,
0.03858252242207527,
0.013096901588141918,
-0.03183409944176674,
0.006521439179778099,
0.004971211310476065,
-0.004609917290508747,
-0.014048546552658081,
-0.04120507463812828,
-0.01930813491344452,
-0.02649800106883049,
-0.10938753187656403,
-0.02349967695772648,
0.03695052117109299,
-0.002674928167834878,
-0.04723344370722771,
-0.015859104692935944,
0.010847881436347961,
0.019869094714522362,
-0.03289984539151192,
0.0065779909491539,
-0.01878863200545311,
-0.021363770589232445,
-0.04852519929409027,
-0.0396038182079792,
0.0046955980360507965,
0.0058056870475411415,
-0.02118842303752899,
-0.03925902023911476,
-0.058474209159612656,
-0.010849637910723686,
-0.04911355301737785,
0.023808734491467476,
0.005045500583946705,
0.016010204330086708,
-0.020507819950580597
] | null |
511 |
Auto-reconfiguration for Latency Minimization in CPU-based DNN Serving
|
https://openreview.net/forum?id=Dg24PyeWsI
|
[
"Ankit Bhardwaj",
"Amar Phanishayee",
"Deepak Narayanan",
"Ryan Stutsman"
] |
Poster
|
In this paper, we investigate how to push the performance limits of serving Deep Neural Network (DNN) models on CPU-based servers. Specifically, we observe that while intra-operator parallelism across multiple threads is an effective way to reduce inference latency, it provides diminishing returns. Our primary insight is that instead of running a single instance of a model with all available threads on a server, running multiple instances each with smaller batch sizes and fewer threads for intra-op parallelism can provide lower inference latency. However, the right configuration is hard to determine manually since it is workload- (DNN model and batch size used by the serving system) and deployment-dependent (number of CPU cores on server). We present Packrat, a new serving system for online inference that given a model and batch size (𝐵) algorithmically picks the optimal number of instances (𝑖), the number of threads each should be allocated (𝑡), and the batch sizes each should operate on (𝑏) that minimizes latency. Packrat is built as an extension to TorchServe and supports online reconfigurations to avoid serving downtime. Averaged across a range of batch sizes, Packrat improves inference latency by 1.43× to 1.83× on a range of commonly used DNNs.
|
CPU, Inference
|
Our system Packrat improves CPU-based DNN inference for smaller models by automatically mapping batch-size and number of threads.
| 13,296 | null |
[
-0.0075871385633945465,
-0.053306564688682556,
-0.048620209097862244,
0.0318898931145668,
0.05324976146221161,
0.06838250905275345,
0.022589093074202538,
-0.004280098248273134,
-0.020787086337804794,
-0.038566336035728455,
-0.008821387775242329,
-0.024597596377134323,
-0.04766159504652023,
0.007723283488303423,
-0.008333873935043812,
0.0575878843665123,
0.0594598725438118,
-0.032216884195804596,
0.013311285525560379,
0.011182231828570366,
0.01688213273882866,
-0.06312235444784164,
0.012120920233428478,
0.022325482219457626,
-0.022310754284262657,
-0.027691783383488655,
-0.012051006779074669,
-0.0015433650696650147,
-0.03513047471642494,
-0.010619818232953548,
0.011966507881879807,
0.0032299738377332687,
0.021649232134222984,
-0.00023947753652464598,
0.02379531040787697,
-0.0043302359990775585,
-0.0463690385222435,
-0.0007438134052790701,
0.009526696987450123,
-0.0011930408654734492,
-0.0243367999792099,
0.010255263186991215,
0.005044716876000166,
0.037713486701250076,
-0.051727548241615295,
0.017238285392522812,
-0.0809536725282669,
0.04260941594839096,
0.009601792320609093,
-0.0165913887321949,
-0.10968974232673645,
0.022320600226521492,
-0.013138541020452976,
-0.003061859169974923,
0.015566166490316391,
-0.007886097766458988,
0.02893841452896595,
-0.06850022822618484,
0.009673294611275196,
-0.04185124859213829,
-0.022888869047164917,
0.019100846722722054,
0.041297636926174164,
-0.005712590645998716,
-0.012098691426217556,
-0.037849169224500656,
0.04186392202973366,
0.048333775252103806,
-0.06292004138231277,
-0.040360499173402786,
-0.008489711210131645,
0.0041108825244009495,
-0.004062111023813486,
-0.0033619003370404243,
0.0017601002473384142,
-0.03428887948393822,
-0.002090114401653409,
-0.003283954691141844,
0.11057174205780029,
-0.0002288818359375,
0.011011289432644844,
0.014628713950514793,
0.03847049921751022,
0.06424681097269058,
0.01780674420297146,
0.011637205258011818,
-0.032309919595718384,
-0.02599523402750492,
-0.06755950301885605,
0.03807225450873375,
-0.012205776758491993,
-0.028707845136523247,
0.04136385768651962,
0.04827551543712616,
0.0054399860091507435,
0.025801196694374084,
0.02419853024184704,
0.011532383039593697,
0.03331226482987404,
0.01615697517991066,
-0.002927822060883045,
-0.039242662489414215,
0.006420300342142582,
0.015155728906393051,
-0.09027954936027527,
-0.026817359030246735,
-0.010967068374156952,
-0.03751043975353241,
0.007322834804654121,
-0.008889079093933105,
-0.048159822821617126,
-0.018727125599980354,
0.0146610327064991,
-0.007600432261824608,
-0.09304217249155045,
0.018450163304805756,
-0.022039830684661865,
0.0021854012738913298,
-0.010106498375535011,
-0.008433648385107517,
0.07057235389947891,
0.07713380455970764,
0.0062764412723481655,
0.08156837522983551,
0.0027020068373531103,
0.009859095327556133,
0.017334364354610443,
0.019923806190490723,
0.002439176430925727,
-0.03921128436923027,
-0.005750387441366911,
0.032239414751529694,
0.010440957732498646,
0.00283342064358294,
-0.020225469022989273,
-0.029980508610606194,
-0.017729103565216064,
0.01719122938811779,
0.06987976282835007,
-0.019713187590241432,
-0.000698100368026644,
-0.009422753006219864,
0.06621313095092773,
0.004912885371595621,
0.08416879922151566,
-0.008340149186551571,
-0.010685340501368046,
-0.023630421608686447,
-0.027450842782855034,
0.00914038997143507,
0.01693759858608246,
0.040701866149902344,
-0.025849929079413414,
-0.08403578400611877,
0.0330086350440979,
0.03791326656937599,
0.014692272059619427,
0.03863043338060379,
-0.01294568832963705,
0.01296959351748228,
0.012317173182964325,
0.004865328781306744,
-0.06924372911453247,
-0.010928479954600334,
-0.016147634014487267,
-0.029474154114723206,
0.045012857764959335,
0.0007025421946309507,
0.00001699755921436008,
0.003365149488672614,
-0.04673666134476662,
-0.028786156326532364,
0.052068259567022324,
0.019830167293548584,
0.008948232047259808,
0.03216317296028137,
0.05073252692818642,
0.018282966688275337,
-0.0033158264122903347,
0.032922130078077316,
-0.08845645189285278,
0.048683714121580124,
0.022644992917776108,
0.0008752146386541426,
-0.022769002243876457,
-0.03136157989501953,
0.08487662672996521,
-0.03948891535401344,
0.00911630317568779,
0.017945699393749237,
-0.08180252462625504,
-0.014783324673771858,
-0.012049061246216297,
-0.015833651646971703,
0.05848674476146698,
0.006677588913589716,
-0.035966239869594574,
0.024231992661952972,
0.009910923428833485,
0.04288121312856674,
0.06104657053947449,
-0.01595138944685459,
0.05301586911082268,
-0.06261279433965683,
-0.05730534717440605,
0.012958744540810585,
0.028646811842918396,
-0.057827726006507874,
-0.043737415224313736,
0.03684783726930618,
-0.009863782674074173,
-0.0374060720205307,
0.000990161090157926,
0.02634614147245884,
0.010500981472432613,
0.015234396792948246,
-0.011544623412191868,
0.005965687334537506,
0.03403211757540703,
-0.05019541084766388,
0.05810164660215378,
0.034258004277944565,
-0.015587108209729195,
-0.0012420949060469866,
-0.04492131993174553,
0.0941443219780922,
0.06043578311800957,
-0.0528746135532856,
0.0020285106729716063,
0.0062094745226204395,
0.013546090573072433,
0.002022842178121209,
-0.015667399391531944,
0.003939715679734945,
-0.007917669601738453,
-0.0015737302601337433,
0.0019471641862764955,
-0.042091552168130875,
0.03309507668018341,
-0.05263952538371086,
-0.020867424085736275,
0.05095043033361435,
-0.02209174633026123,
0.0838657021522522,
0.017672546207904816,
0.023148661479353905,
0.050000760704278946,
-0.05448200926184654,
-0.022541675716638565,
-0.04032754898071289,
-0.02554200030863285,
0.002860015258193016,
0.021987929940223694,
-0.03288799524307251,
0.014507418498396873,
-0.05938307195901871,
-0.031985294073820114,
0.01675257459282875,
0.04993316903710365,
0.04559312015771866,
0.0076231868006289005,
0.01869211345911026,
-0.010350310243666172,
-0.021707074716687202,
0.00015700951917096972,
-0.12884585559368134,
-0.016046399250626564,
0.02028586156666279,
0.06771188974380493,
-0.03258447349071503,
0.04760707914829254,
-0.027898766100406647,
-0.004173665773123503,
-0.053380198776721954,
-0.024537984281778336,
-0.03234477341175079,
0.03705930337309837,
0.025389373302459717,
-0.022938596084713936,
-0.032876305282115936,
0.0007303233724087477,
0.07705584168434143,
-0.0019488841062411666,
0.007351258769631386,
-0.010226337239146233,
-0.03606095910072327,
-0.020018761977553368,
-0.08868563920259476,
0.0008016744977794588,
-0.0244013499468565,
0.04637867212295532,
0.04572732374072075,
-0.0373397134244442,
0.02353491261601448,
0.030980048701167107,
0.0790635347366333,
0.02971617504954338,
0.008328326046466827,
-0.045127466320991516,
0.026408618316054344,
-0.02066226303577423,
0.019470522180199623,
-0.026633167639374733,
0.04170658066868782,
-0.04083435237407684,
-0.052807461470365524,
0.012961560860276222,
-0.028771862387657166,
-0.27341803908348083,
0.0013445130316540599,
0.0034469920210540295,
-0.02859300747513771,
0.046271912753582,
-0.018420804291963577,
0.04338333010673523,
0.0043159290216863155,
0.0005807890556752682,
0.008641870692372322,
0.0109964394941926,
0.007698563393205404,
-0.00489299651235342,
0.024577217176556587,
0.02684953063726425,
0.03132567182183266,
-0.0011712264968082309,
-0.014176428318023682,
0.019338684156537056,
0.008087615482509136,
-0.017095724120736122,
-0.07034099102020264,
0.01721956394612789,
0.019010089337825775,
-0.010715222917497158,
0.03942513465881348,
-0.08676046878099442,
0.023079853504896164,
-0.035497456789016724,
0.0036235584411770105,
-0.022022569552063942,
-0.04531421512365341,
-0.019940895959734917,
0.04089846462011337,
0.007975495420396328,
-0.007192670833319426,
0.025061583146452904,
-0.0069117373786866665,
0.033348679542541504,
0.012743646278977394,
0.006371526513248682,
-0.03052525408565998,
-0.011174904182553291,
-0.02488393895328045,
0.07046972960233688,
0.02717183344066143,
-0.09986045211553574,
-0.014292142353951931,
0.004023936577141285,
0.006982091348618269,
0.02661765180528164,
-0.03376308083534241,
-0.03506870195269585,
0.01250218041241169,
-0.02880917862057686,
-0.04310651868581772,
-0.05392684414982796,
0.013848804868757725,
0.001708711264654994,
0.013556537218391895,
0.01013106107711792,
-0.04434347152709961,
-0.027170386165380478,
-0.0286874882876873,
-0.03165008872747421,
-0.010387239046394825,
-0.031029796227812767,
-0.049725908786058426,
0.04077707231044769,
0.01673748530447483,
-0.024681584909558296,
0.029278963804244995,
-0.002861520042642951,
-0.0827556774020195,
0.029887190088629723,
-0.0184938944876194,
-0.023764541372656822,
-0.008845808915793896,
-0.021291077136993408,
0.07815539836883545,
-0.006672064308077097,
-0.0418536439538002,
0.01056008879095316,
-0.010750326327979565,
0.03908258303999901,
-0.021100178360939026,
-0.02753729186952114,
-0.031161023303866386,
0.0028504699002951384,
-0.008861074224114418,
0.04367762804031372,
0.005821531638503075,
0.03629521280527115,
-0.036929771304130554,
0.041096031665802,
0.03136167675256729,
0.039652589708566666,
0.0589955672621727,
0.009785901755094528,
0.023106448352336884,
0.03683380410075188,
-0.07158439606428146,
-0.017819097265601158,
-0.05817635729908943,
-0.01984492689371109,
0.04157447814941406,
-0.029581839218735695,
-0.008809876628220081,
0.057579539716243744,
0.03477779030799866,
-0.06635501235723495,
-0.03730982914566994,
0.02466094307601452,
-0.011198677122592926,
-0.0036039003171026707,
-0.009743976406753063,
-0.010000399313867092,
0.023269537836313248,
-0.00365607813000679,
-0.018331658095121384,
-0.0628075897693634,
0.0617222785949707,
0.002046175766736269,
0.016696814447641373,
0.018669098615646362,
-0.026310473680496216,
0.01950911246240139,
-0.015751978382468224,
0.014933248050510883,
-0.0028767066542059183,
0.04283144697546959,
0.04470954090356827,
0.01583821326494217,
0.020367585122585297,
0.023101503029465675,
-0.014475111849606037,
-0.005664219614118338,
0.011384502984583378,
0.035320110619068146,
0.008557627908885479,
-0.01504533737897873,
-0.025098539888858795,
0.028005706146359444,
0.02156275324523449,
0.01942722126841545,
0.05854867398738861,
-0.016116682440042496,
0.010900325141847134,
-0.016960473731160164,
-0.020658591762185097,
0.04300712049007416,
-0.06020108982920647,
-0.008761442266404629,
-0.03956691175699234,
0.003577330382540822,
-0.012595564126968384,
0.03831878677010536,
-0.03446643427014351,
0.0017271502874791622,
-0.0434638187289238,
0.041565269231796265,
0.006438772194087505,
-0.02733371965587139,
0.005379514768719673,
-0.0003835789393633604,
0.03745478391647339,
-0.008872904814779758,
-0.016557592898607254,
0.033581871539354324,
-0.0040092505514621735,
-0.0318913571536541,
-0.011637931689620018,
-0.05216250941157341,
-0.003145811380818486,
0.013770042918622494,
0.029082050547003746,
0.015312633477151394,
0.01662740483880043,
-0.035177744925022125,
0.025954319164156914,
0.03845594450831413,
0.028108520433306694,
-0.017466187477111816,
0.04648420214653015,
0.06005541607737541,
0.01720854640007019,
-0.019419874995946884,
0.021653974428772926,
-0.020511865615844727,
0.044932883232831955,
-0.010467413812875748,
0.004118868615478277,
-0.020668452605605125,
-0.0077460212633013725,
-0.010535596869885921,
-0.04442780464887619,
0.0245171170681715,
0.04080500453710556,
-0.013979952782392502,
-0.041933104395866394,
-0.001000288757495582,
0.013531203381717205,
-0.0436074361205101,
-0.03333652392029762,
0.03482635319232941,
-0.06443120539188385,
0.020769484341144562,
0.0398755744099617,
0.018693774938583374,
0.028411032631993294,
-0.013355441391468048,
-0.020607037469744682,
-0.03700222820043564,
-0.012658254243433475,
0.027055785059928894,
-0.0007854808936826885,
-0.01927124708890915,
0.014129708521068096,
0.006345677189528942,
-0.013139096088707447,
0.02096250280737877,
0.000780097849201411,
0.001707533374428749,
-0.0055933366529643536,
-0.03359447792172432,
0.03430003300309181,
0.008021649904549122,
0.020308276638388634,
-0.018521172925829887,
0.002326881978660822,
0.02814386785030365,
-0.04796277731657028,
0.00707201287150383,
0.057541120797395706,
0.010335355065762997,
0.004800416529178619,
-0.029324233531951904,
0.02092263288795948,
0.01949327625334263,
-0.02428503893315792,
-0.017623737454414368,
-0.004526345059275627,
-0.06105009838938713,
0.027926182374358177,
-0.009537464007735252,
0.00025641481624916196,
-0.03221679851412773,
0.010679072700440884,
-0.008852574042975903,
0.01438971608877182,
0.006611495278775692,
-0.0011059886310249567,
-0.058443229645490646,
-0.011143043637275696,
0.04128054156899452,
-0.037210751324892044,
-0.0315500944852829,
-0.0744476467370987,
-0.06242913380265236,
0.028667915612459183,
-0.0075144157744944096,
-0.003960690926760435,
-0.03913860768079758,
0.024543792009353638,
0.027364548295736313,
0.03730447217822075,
0.019337492063641548,
-0.03267539292573929,
0.03525379300117493,
-0.04560411348938942,
-0.014665491878986359,
-0.05683506652712822,
-0.05368031561374664,
0.07570988684892654,
-0.0033336663618683815,
0.025016970932483673,
0.020802240818738937,
-0.02872318960726261,
0.03691040351986885,
-0.027507752180099487,
-0.059990525245666504,
0.019861241802573204,
-0.01162423100322485,
0.0021636192686855793,
0.00016577898350078613,
-0.06288427859544754,
0.006855546031147242,
-0.0388699546456337,
-0.0645270049571991,
0.01166406087577343,
0.008951530791819096,
0.0404924601316452,
0.004978579469025135,
0.009858839213848114,
-0.043832723051309586,
-0.01809755153954029,
0.05280610918998718,
0.0475720576941967,
0.0008347004768438637,
0.031124532222747803,
-0.026194192469120026,
0.07740070670843124,
0.05508439615368843,
0.017086682841181755,
-0.004626748152077198,
0.0002855094207916409,
0.0147831030189991,
-0.05135408416390419,
0.02489943616092205,
-0.003637498477473855,
-0.015824902802705765,
-0.061903100460767746,
0.05793469399213791,
0.014342361129820347,
-0.04478218033909798,
-0.014326483942568302,
0.025385919958353043,
-0.04788363352417946,
-0.01286347396671772,
-0.020041847601532936,
0.019919246435165405,
-0.012068736366927624,
0.07510881125926971,
0.0014582814183086157,
0.029054882004857063,
0.08321978151798248,
0.009214041754603386,
-0.0054284632205963135,
0.013400890864431858,
0.060716647654771805,
0.03932914510369301,
0.027461815625429153,
-0.015132719650864601,
0.0561554841697216,
0.008474626578390598,
-0.06474205106496811,
0.025005966424942017,
0.026287779211997986,
-0.04048117250204086,
-0.04940090700984001,
0.03958587720990181,
0.08744395524263382,
0.014363616704940796,
0.0657147616147995,
-0.05619334056973457,
0.010245706886053085,
0.05546450614929199,
0.019097890704870224,
0.009712444618344307,
0.04518928378820419,
0.023157084360718727,
0.027619777247309685,
-0.02065965160727501,
-0.0029412030708044767,
0.009095834568142891,
-0.020778924226760864,
-0.010687006637454033,
0.027697673067450523,
-0.022403834387660027,
-0.0076865097507834435,
0.002349471440538764,
0.03496154770255089,
0.08339237421751022,
-0.019286425784230232,
-0.05597902461886406,
-0.014123070985078812,
-0.0010966663248836994,
-0.020642070099711418,
0.007079049479216337,
-0.011800603941082954,
-0.025935307145118713,
-0.013007763773202896,
-0.0210123173892498,
0.003485020250082016,
0.010619432665407658,
-0.014798802323639393,
0.011495851911604404,
-0.02986827865242958,
-0.004037311766296625,
0.02857588231563568,
0.012573759071528912,
-0.05924898013472557,
-0.022491255775094032,
-0.04147364944219589,
-0.028402432799339294,
-0.015803592279553413,
-0.0267065167427063,
0.023030662909150124,
-0.022185154259204865,
-0.019342513754963875,
-0.018245136365294456,
0.0012680375948548317,
-0.0031027942895889282,
0.04693731665611267,
-0.06391485035419464,
0.003618282964453101,
0.03811018168926239,
0.004277732688933611,
-0.01981387659907341,
0.039717379957437515,
0.02021126262843609,
-0.024010254070162773,
-0.006546822376549244,
0.05848803371191025,
0.04348493739962578,
-0.0006629324634559453,
0.00557863712310791,
-0.013718177564442158,
-0.10665005445480347,
0.02262837067246437,
0.03494231402873993,
-0.07037577033042908,
-0.07846726477146149,
0.05181591585278511,
-0.00733632268384099,
0.037200771272182465,
0.049830660223960876,
-0.008886367082595825,
0.03771998733282089,
-0.04148704931139946,
-0.003850596956908703,
0.00758569547906518,
0.012437974102795124,
0.05055395886301994,
-0.012246792204678059,
0.052291739732027054,
0.06896882504224777,
-0.03448120877146721,
0.012080356478691101,
0.015366634353995323,
-0.00826223660260439,
0.005256336182355881,
-0.01721859909594059,
-0.013309882953763008,
-0.0321790874004364,
-0.09127816557884216,
-0.03557269647717476,
0.0384642630815506,
-0.006833542603999376,
-0.046650245785713196,
-0.002746024401858449,
-0.016393717378377914,
-0.02917218767106533,
-0.024571722373366356,
-0.01612970232963562,
-0.019761275500059128,
-0.05049395188689232,
-0.029171224683523178,
-0.04575229063630104,
0.025131048634648323,
0.0030377341900020838,
0.003223238280043006,
0.0033982545137405396,
-0.05108794942498207,
-0.019178537651896477,
-0.005318158771842718,
0.0561584047973156,
0.014171352609992027,
0.009259680286049843,
-0.0055936179123818874
] |
https://github.com/msr-fiddle/packrat
|
512 |
The Lock-in Hypothesis: Stagnation by Algorithm
|
https://openreview.net/forum?id=mE1M626qOo
|
[
"Tianyi Qiu",
"Zhonghao He",
"Tejasveer Chugh",
"Max Kleiman-Weiner"
] |
Poster
|
The training and deployment of large language models (LLMs) create a feedback loop with human users: models learn human beliefs from data, reinforce these beliefs with generated content, reabsorb the reinforced beliefs, and feed them back to users again and again. This dynamic resembles an echo chamber.
We hypothesize that this feedback loop entrenches the existing values and beliefs of users, leading to a loss of diversity in human ideas and potentially the *lock-in* of false beliefs.
We formalize this hypothesis and test it empirically with agent-based LLM simulations and real-world GPT usage data.
Analysis reveals sudden but sustained drops in diversity after the release of new GPT iterations, consistent with the hypothesized human-AI feedback loop.
*Website: https://thelockinhypothesis.com*
|
Value lock-in, Human-AI interaction, AI Alignment
|
Demonstrations of LLM-induced "lock-in" of user ideation, based on real-world data, simulations, and a formal model.
| 13,294 |
2506.06166
|
[
0.0007693213992752135,
-0.011387484148144722,
-0.02536524273455143,
0.05072200670838356,
0.0547025203704834,
-0.001057191751897335,
0.05825911834836006,
0.039319802075624466,
-0.04257715120911598,
-0.004656922072172165,
-0.029987601563334465,
0.004249910824000835,
-0.08180174231529236,
-0.029790520668029785,
-0.0030371269676834345,
0.04806654900312424,
0.033867042511701584,
0.00004140800592722371,
0.004861094523221254,
-0.005639251787215471,
-0.013577671721577644,
-0.0020133312791585922,
0.029355300590395927,
0.021814517676830292,
0.06543781608343124,
-0.002321947831660509,
0.01645323634147644,
-0.029131252318620682,
-0.03821830078959465,
0.010839722119271755,
0.019193820655345917,
-0.012251082807779312,
0.020736897364258766,
-0.0033633532002568245,
-0.009203883819282055,
-0.0014030680758878589,
-0.029470672830939293,
0.008588222786784172,
0.009510823525488377,
0.02506597340106964,
-0.04442300647497177,
0.03063921444118023,
-0.015978405252099037,
-0.004845485091209412,
-0.0726451650261879,
0.01466890424489975,
-0.12537862360477448,
0.0552249401807785,
0.010156107135117054,
-0.03420979529619217,
-0.10384000092744827,
0.02063801698386669,
0.018057551234960556,
-0.014596158638596535,
0.016498759388923645,
0.03189891576766968,
0.033842071890830994,
-0.07874171435832977,
-0.00579439802095294,
-0.044051364064216614,
-0.017741788178682327,
0.009544314816594124,
0.011178108863532543,
-0.02340465597808361,
-0.01557269599288702,
-0.028362734243273735,
0.030629843473434448,
0.023635677993297577,
-0.045200809836387634,
-0.03352964669466019,
-0.06334233283996582,
0.0044606891460716724,
0.014111526310443878,
0.0007120847003534436,
-0.02135835960507393,
-0.051795363426208496,
0.015237029641866684,
0.03512745723128319,
0.06845783442258835,
-0.015751544386148453,
-0.010084008798003197,
0.05237434804439545,
0.03333260864019394,
0.06698186695575714,
0.01961328834295273,
-0.029066376388072968,
0.012744327075779438,
-0.04625590145587921,
-0.06365253776311874,
0.05153663828969002,
-0.03430124744772911,
-0.05900902673602104,
0.030393455177545547,
0.041411109268665314,
0.015094367787241936,
0.013040055520832539,
0.0543377660214901,
0.042341191321611404,
-0.016185589134693146,
-0.013344895094633102,
-0.005928148981183767,
-0.030361631885170937,
0.02535167522728443,
-0.013417008332908154,
-0.10241415351629257,
-0.009396444074809551,
-0.00013478085747919977,
-0.004568808246403933,
-0.015871772542595863,
-0.004145109094679356,
-0.044385991990566254,
0.013277024030685425,
0.024841606616973877,
-0.015538569539785385,
-0.057217616587877274,
0.03597590699791908,
-0.015249074436724186,
0.004812097176909447,
0.025290686637163162,
0.014045479707419872,
0.03338633105158806,
0.03341998904943466,
0.02338344231247902,
0.06990879029035568,
-0.05657212436199188,
0.011858746409416199,
0.021218329668045044,
0.003973439801484346,
-0.048735808581113815,
-0.03766607120633125,
0.0037387050688266754,
0.02774394117295742,
-0.04045857489109039,
-0.0020804342348128557,
-0.0009024327155202627,
0.008530165068805218,
0.027527470141649246,
0.02818201296031475,
0.04471271112561226,
0.03212590515613556,
0.019770124927163124,
-0.023952007293701172,
0.05894056707620621,
-0.010289354249835014,
0.03973384574055672,
-0.01692558452486992,
0.0030563967302441597,
-0.013190814293920994,
-0.0392705500125885,
-0.015062079764902592,
-0.010944756679236889,
-0.013202547095716,
0.004943425767123699,
-0.0322079211473465,
0.04549014940857887,
0.04178162291646004,
0.018488258123397827,
0.0002659881138242781,
0.0240237507969141,
0.018539633601903915,
0.008276797831058502,
0.021337823942303658,
-0.025365004315972328,
-0.030813060700893402,
0.033029790967702866,
-0.04078062251210213,
0.015872379764914513,
0.01699753850698471,
-0.03258947655558586,
0.02144252136349678,
-0.04073287546634674,
-0.002849368844181299,
0.07602835446596146,
-0.028607850894331932,
-0.019169479608535767,
-0.006628292612731457,
0.06171002984046936,
0.013872262090444565,
0.03224105015397072,
0.029966000467538834,
-0.06129066273570061,
0.019298875704407692,
-0.0041634091176092625,
0.011627314612269402,
0.002701718593016267,
-0.01754538156092167,
0.06258995831012726,
-0.014426697045564651,
0.022346295416355133,
-0.001962368842214346,
-0.07580709457397461,
-0.009009411558508873,
0.01956901140511036,
0.009698579087853432,
0.0811619982123375,
-0.028633451089262962,
0.0008372697047889233,
0.04174066707491875,
0.045821502804756165,
0.06652119755744934,
0.04771557077765465,
-0.03626030683517456,
0.06163845956325531,
0.004552729427814484,
-0.019247733056545258,
0.008121280930936337,
0.016158362850546837,
-0.05571906641125679,
-0.04501188546419144,
0.014259587042033672,
-0.04859570041298866,
0.012508856132626534,
0.03087998554110527,
0.003580274526029825,
0.031363893300294876,
0.013178573921322823,
0.000019371003872947767,
-0.015865640714764595,
0.02120942436158657,
-0.049427300691604614,
0.01735692471265793,
-0.004198561888188124,
0.007993949577212334,
-0.0022892740089446306,
-0.013583559542894363,
0.07670818269252777,
0.06488239020109177,
-0.030838975682854652,
-0.007989078760147095,
0.017148461192846298,
0.023175332695245743,
0.01338254101574421,
0.023833518847823143,
-0.02281370759010315,
-0.001700113178230822,
-0.008522533811628819,
0.001880542142316699,
-0.04695213958621025,
0.03991256281733513,
-0.07169188559055328,
-0.007132980972528458,
0.05902719870209694,
-0.05258366838097572,
0.0740811675786972,
-0.013318860903382301,
0.027351338416337967,
0.025301042944192886,
-0.010895218700170517,
-0.018615493550896645,
-0.02662697620689869,
-0.022056521847844124,
-0.008234740234911442,
-0.006465159356594086,
-0.012315170839428902,
0.00780502799898386,
-0.05626356974244118,
0.024989182129502296,
-0.02699587307870388,
0.062085770070552826,
0.06078281253576279,
-0.012125183828175068,
0.03295376896858215,
-0.00300305406562984,
-0.03237941488623619,
0.020614324137568474,
-0.10515861958265305,
-0.04077925160527229,
-0.02439255826175213,
-0.0014651810051873326,
-0.010976739227771759,
0.044963397085666656,
-0.03705328330397606,
0.01374639943242073,
-0.028503598645329475,
-0.01837405003607273,
0.0176442451775074,
0.015975669026374817,
-0.014334751293063164,
-0.030875258147716522,
0.008189418353140354,
0.00006136421870905906,
0.037975843995809555,
-0.032396797090768814,
-0.027131224051117897,
-0.02278607152402401,
-0.0367717482149601,
0.0010894938604906201,
-0.035762887448072433,
-0.010308961383998394,
0.0403892919421196,
0.006620979867875576,
0.010420980863273144,
-0.009487378410995007,
-0.004958696663379669,
0.03192128613591194,
0.07767598330974579,
0.04103727638721466,
-0.018516499549150467,
-0.015718551352620125,
0.049650657922029495,
-0.0060467771254479885,
0.019798344001173973,
-0.012238210998475552,
0.023376189172267914,
-0.013089916668832302,
0.0010678593534976244,
0.046971745789051056,
-0.0115931062027812,
-0.2835308313369751,
0.003585127182304859,
0.03420422971248627,
-0.0292961485683918,
0.016305822879076004,
-0.0023613087832927704,
0.07168659567832947,
-0.026548538357019424,
-0.021031228825449944,
0.02254907414317131,
0.017016179859638214,
0.014427064917981625,
-0.016234157606959343,
0.07568035274744034,
0.03093080408871174,
0.021871715784072876,
-0.004487795755267143,
-0.014543794095516205,
0.00040086061926558614,
0.04994969069957733,
-0.008624473586678505,
-0.08558456599712372,
-0.0157104954123497,
0.053443826735019684,
0.012555410154163837,
0.05521855875849724,
-0.04838510602712631,
-0.001200553379021585,
-0.05371948704123497,
0.036836154758930206,
-0.04313896596431732,
-0.026477163657546043,
-0.02130812592804432,
0.02680581621825695,
-0.00481144804507494,
0.02157546952366829,
0.0288162212818861,
0.017168359830975533,
0.03420039638876915,
0.027239402756094933,
0.0023817820474505424,
-0.029902631416916847,
0.02378467470407486,
-0.0004764447803609073,
0.07410580664873123,
0.03792426362633705,
-0.045389097183942795,
-0.03286099433898926,
-0.028326520696282387,
0.03904004767537117,
-0.01339568942785263,
-0.013888302259147167,
-0.019531728699803352,
0.0182654932141304,
0.027368957176804543,
0.009427877143025398,
0.008127138018608093,
-0.03068051114678383,
-0.012794763781130314,
-0.009039446711540222,
0.009612172842025757,
-0.02042919211089611,
-0.024107635021209717,
-0.03479529172182083,
-0.02054598182439804,
-0.047259751707315445,
-0.0896974429488182,
-0.04447444528341293,
0.05366179719567299,
0.06656377017498016,
-0.03123844601213932,
0.031050294637680054,
-0.010771134868264198,
-0.08599130064249039,
-0.03710780292749405,
-0.013360828161239624,
-0.012917104177176952,
-0.005883256904780865,
0.012400886975228786,
0.031955987215042114,
-0.029865127056837082,
-0.033181846141815186,
0.0009309030137956142,
-0.009850633330643177,
0.04568721354007721,
-0.039930280297994614,
0.003989512100815773,
-0.005254932679235935,
-0.06534148007631302,
-0.01207649428397417,
0.039364758878946304,
0.01818428561091423,
0.004893109668046236,
0.0006222976371645927,
0.07162684947252274,
0.05799126625061035,
0.0030258011538535357,
0.05566829815506935,
0.04343460127711296,
0.015807833522558212,
0.03351181745529175,
-0.09368846565485,
0.011234614066779613,
-0.019411802291870117,
-0.03036971390247345,
0.01780504360795021,
-0.0816924199461937,
-0.027333706617355347,
0.020901553332805634,
-0.0006022191955707967,
-0.01707439497113228,
-0.013969015330076218,
0.01284791249781847,
0.011455022729933262,
-0.05410792678594589,
-0.02121889591217041,
-0.02458232268691063,
0.020066939294338226,
0.0083902133628726,
-0.018825814127922058,
-0.025723140686750412,
0.06396345049142838,
-0.02608606033027172,
0.027330992743372917,
-0.019890259951353073,
-0.015096964314579964,
-0.008968974463641644,
-0.05861492082476616,
0.005117412190884352,
-0.005594009533524513,
0.01736961491405964,
0.004691791720688343,
0.018920687958598137,
0.0010655508376657963,
0.05552181228995323,
0.0070399693213403225,
0.023192347958683968,
-0.024528346955776215,
0.010306572541594505,
0.010154775343835354,
0.011356748640537262,
-0.039400819689035416,
0.0640363022685051,
0.006300983019173145,
0.01546195987612009,
0.010292088612914085,
0.02784794196486473,
0.0017368067055940628,
0.017629625275731087,
0.008806311525404453,
0.03622151538729668,
-0.04730643332004547,
0.0015296242199838161,
-0.04241214320063591,
0.01615273766219616,
-0.018639208748936653,
0.021786410361528397,
0.026837553828954697,
-0.007993893697857857,
-0.06369884312152863,
0.03656679764389992,
-0.021244263276457787,
-0.0029357585590332747,
0.021768461912870407,
0.01849164254963398,
0.04994681105017662,
-0.05282093584537506,
0.011221926659345627,
0.009429100900888443,
0.00661384966224432,
0.00927622988820076,
-0.02610352262854576,
-0.0142918536439538,
-0.017175421118736267,
-0.013319532386958599,
-0.022220663726329803,
0.015106480568647385,
-0.031515225768089294,
-0.05931006744503975,
0.022067954763770103,
0.009877435863018036,
-0.022841351106762886,
-0.02168598398566246,
0.015660138800740242,
0.07426711171865463,
-0.00027383619453758,
0.014796815812587738,
-0.0034124369267374277,
-0.02633616328239441,
0.03750752657651901,
-0.026709310710430145,
0.002786347409710288,
0.0069602057337760925,
-0.04259195923805237,
-0.05317618325352669,
-0.043129947036504745,
-0.0038232963997870684,
0.002335117431357503,
0.0012971151154488325,
0.013687977567315102,
-0.014164473861455917,
-0.008139903657138348,
-0.05489126965403557,
0.006270277313888073,
0.02762235328555107,
-0.07668077945709229,
-0.011181597597897053,
-0.019669827073812485,
-0.00945597980171442,
0.045681826770305634,
-0.04002777487039566,
-0.031677424907684326,
-0.0844576358795166,
-0.006972215138375759,
0.031169841066002846,
-0.03593623638153076,
-0.05525866523385048,
-0.027829544618725777,
-0.010073437355458736,
0.009476788341999054,
0.021869558840990067,
-0.012461480684578419,
-0.01329036895185709,
-0.012279272079467773,
0.007545622531324625,
0.024445168673992157,
-0.030019979923963547,
-0.026691962033510208,
0.009703243151307106,
-0.041757017374038696,
0.033134981989860535,
-0.04907384142279625,
-0.0016696787206456065,
0.03921397402882576,
-0.03545979782938957,
-0.019222909584641457,
0.009234839119017124,
0.03998543694615364,
-0.006500737741589546,
-0.03072975017130375,
-0.00850070733577013,
-0.029107412323355675,
-0.0339261069893837,
-0.013337315991520882,
0.0038114008493721485,
0.051535464823246,
-0.008398651145398617,
-0.008677893318235874,
0.025444207713007927,
0.022489862516522408,
0.008465156890451908,
0.031539496034383774,
-0.043382249772548676,
-0.0018803508719429374,
0.049363236874341965,
-0.02771870233118534,
-0.022859152406454086,
-0.06761819124221802,
-0.024443956092000008,
-0.006807910744100809,
0.024686042219400406,
0.003325048368424177,
-0.04268715903162956,
0.02987862192094326,
0.0020104143768548965,
0.036081258207559586,
0.008913257159292698,
-0.009131224825978279,
0.04930298030376434,
-0.05310099944472313,
0.005543855484575033,
-0.05652235448360443,
-0.04037544131278992,
0.04721920192241669,
-0.012460099533200264,
0.014407480135560036,
-0.027483021840453148,
-0.023681502789258957,
0.039076343178749084,
-0.03422005474567413,
-0.048129066824913025,
0.011182563379406929,
-0.020212221890687943,
-0.012782711535692215,
0.044964246451854706,
-0.07246115803718567,
0.0009122913470491767,
-0.025658724829554558,
-0.07291243970394135,
-0.021720193326473236,
0.012427609413862228,
0.04516252130270004,
-0.003918742761015892,
0.0008959422120824456,
-0.00048506641178391874,
0.0010260320268571377,
0.0020808412227779627,
0.05809883400797844,
0.04502685368061066,
0.032916732132434845,
-0.045271627604961395,
0.07222259789705276,
0.058593396097421646,
0.042726267129182816,
-0.024285810068249702,
-0.0026306582149118185,
-0.03545455262064934,
-0.0737294927239418,
0.06270703673362732,
-0.009269556030631065,
0.0116515401750803,
-0.03937724232673645,
0.07763992249965668,
0.03401593863964081,
-0.06461227685213089,
-0.008779756724834442,
0.037106581032276154,
-0.05015525594353676,
0.021367568522691727,
0.014067526906728745,
0.007839488796889782,
-0.009225728921592236,
0.05977645143866539,
0.051882147789001465,
0.06755419075489044,
0.06152447685599327,
0.009909486398100853,
-0.00023877348576206714,
-0.02963748201727867,
0.06378839910030365,
0.0628315806388855,
0.057033471763134,
-0.0004370688693597913,
0.07412997633218765,
-0.016066061332821846,
-0.03405484929680824,
0.028261510655283928,
0.016638219356536865,
-0.039510488510131836,
-0.04149429127573967,
0.003647067816928029,
0.05468408018350601,
-0.003558060387149453,
0.05694587156176567,
-0.03913258761167526,
0.017825623974204063,
0.02217949740588665,
0.03893386200070381,
-0.0056417291052639484,
0.06492850184440613,
0.04135426878929138,
0.013727596960961819,
-0.032117560505867004,
-0.03416316583752632,
0.031487707048654556,
-0.05781998857855797,
0.012727487832307816,
0.02031071111559868,
-0.009921476244926453,
-0.019987890496850014,
-0.0063354442827403545,
0.034551844000816345,
0.10654082149267197,
-0.01414520014077425,
0.008875827305018902,
0.012020405381917953,
0.021883880719542503,
-0.0032296343706548214,
0.0539899617433548,
0.009517597034573555,
0.0016029604012146592,
0.016051819548010826,
-0.03863789141178131,
-0.019885936751961708,
0.012011411599814892,
-0.0005103462608531117,
0.03477375581860542,
-0.033309612423181534,
-0.022785767912864685,
0.02404147759079933,
0.0306761022657156,
-0.044386692345142365,
-0.03940684720873833,
-0.016683917492628098,
-0.041095659136772156,
-0.018338611349463463,
-0.0028091331478208303,
0.03191596642136574,
-0.017802216112613678,
-0.047883663326501846,
-0.000672187888994813,
-0.00707558449357748,
0.00956497061997652,
-0.0033937839325517416,
-0.05463877320289612,
0.0019905741792172194,
0.034849122166633606,
0.035013873130083084,
-0.0030459542758762836,
0.03334807977080345,
0.026128485798835754,
-0.012771349400281906,
-0.0023819163907319307,
0.030198246240615845,
0.02434558980166912,
-0.00016063098155427724,
-0.014055292122066021,
-0.009886672720313072,
-0.10583522915840149,
-0.01676303707063198,
0.015184886753559113,
-0.051823753863573074,
-0.07559403032064438,
0.04603007435798645,
-0.02575349248945713,
0.03981468454003334,
0.060881830751895905,
0.020791372284293175,
0.04633891209959984,
-0.01288095023483038,
-0.004395117051899433,
-0.007663121912628412,
-0.008921741507947445,
0.05336163192987442,
-0.017187682911753654,
0.06320564448833466,
0.036531753838062286,
-0.032139211893081665,
-0.07769835740327835,
0.04010353237390518,
-0.016792064532637596,
-0.03797272592782974,
0.0010731024667620659,
-0.037482067942619324,
-0.006909049581736326,
-0.10764975845813751,
-0.013976767659187317,
0.020669102668762207,
-0.0004314894031267613,
-0.030385669320821762,
-0.010992413386702538,
-0.024148110300302505,
-0.016116125509142876,
-0.004674955271184444,
0.0016453512944281101,
-0.027368618175387383,
-0.032549381256103516,
-0.017244724556803703,
-0.05562574788928032,
-0.027242859825491905,
-0.025826191529631615,
0.016328934580087662,
-0.03906382620334625,
-0.059769246727228165,
-0.008745391853153706,
0.005246621556580067,
0.04092393070459366,
-0.015052764676511288,
0.014313318766653538,
-0.03531425818800926
] | null |
513 |
Wasserstein Flow Matching: Generative Modeling Over Families of Distributions
|
https://openreview.net/forum?id=MRmI68k3gd
|
[
"Doron Haviv",
"Aram-Alexandre Pooladian",
"Dana Pe'er",
"Brandon Amos"
] |
Poster
|
Generative modeling typically concerns transporting a single source distribution to a target distribution via simple probability flows. However, in fields like computer graphics and single-cell genomics, samples themselves can be viewed as distributions, where standard flow matching ignores their inherent geometry. We propose Wasserstein flow matching (WFM), which lifts flow matching onto families of distributions using the Wasserstein geometry. Notably, WFM is the first algorithm capable of generating distributions in high dimensions, whether represented analytically (as Gaussians) or empirically (as point-clouds). Our theoretical analysis establishes that Wasserstein geodesics constitute proper conditional flows over the space of distributions, making for a valid FM objective. Our algorithm leverages optimal transport theory and the attention mechanism, demonstrating versatility across computational regimes: exploiting closed-form optimal transport paths for Gaussian families, while using entropic estimates on point-clouds for general distributions. WFM successfully generates both 2D \& 3D shapes and high-dimensional cellular microenvironments from spatial transcriptomics data. Code is available at [WassersteinFlowMatching](https://github.com/WassersteinFlowMatching/WassersteinFlowMatching/).
|
Optimal Transport, Flow Matching, Generative Modeling, Single Cell
|
Flow Matching between distributions over distributions on the Wasserstein space for generation of Gaussians & general distributions.
| 13,287 |
2411.00698
|
[
-0.014999006874859333,
-0.0039014092180877924,
0.02206178568303585,
0.03894910216331482,
0.03906378522515297,
0.042492322623729706,
0.01917751505970955,
0.022296002134680748,
0.0025417550932615995,
-0.06524251401424408,
0.008128019981086254,
-0.04935026913881302,
-0.07109861820936203,
0.01497417502105236,
-0.01634971611201763,
0.05804620683193207,
0.0034375544637441635,
-0.008901753462851048,
0.04071658477187157,
0.017788151279091835,
-0.03924187645316124,
-0.033828381448984146,
0.01700112782418728,
0.015927400439977646,
0.0222233347594738,
-0.009354756213724613,
0.03475508466362953,
-0.0019601956009864807,
-0.006208137143403292,
0.012696678750216961,
0.0032982502598315477,
0.0019680524710565805,
-0.008661885745823383,
-0.02797219343483448,
-0.015850087627768517,
-0.019487589597702026,
-0.019515173509716988,
0.007887542247772217,
-0.007668911945074797,
0.01784479059278965,
-0.03151039034128189,
0.0015802906127646565,
-0.012240788899362087,
-0.0139456270262599,
-0.04578391835093498,
0.004577323328703642,
-0.09810589253902435,
0.0495867095887661,
-0.006780616007745266,
-0.04810946434736252,
-0.04652206972241402,
0.029053084552288055,
0.0197879858314991,
0.003511122427880764,
0.008904489688575268,
0.018145175650715828,
0.02166716754436493,
-0.0625460296869278,
-0.027210334315896034,
-0.06524583697319031,
-0.0290288794785738,
0.005161430221050978,
-0.0007281882571987808,
0.03547527268528938,
0.0029678293503820896,
-0.004501660354435444,
0.0029396149329841137,
0.057612575590610504,
-0.02989778108894825,
-0.05071893334388733,
-0.008758355863392353,
-0.00042652638512663543,
0.02925758622586727,
-0.009183846414089203,
0.010712582617998123,
-0.02075917273759842,
-0.0069473907351493835,
0.01522583607584238,
0.03799352049827576,
0.002476281486451626,
0.00018323650874663144,
-0.009509759955108166,
-0.018679866567254066,
0.04295738786458969,
0.018904516473412514,
-0.009509287774562836,
-0.03791159391403198,
0.002556547988206148,
-0.056327249854803085,
0.03397991508245468,
-0.030596045777201653,
-0.03963286057114601,
0.0010976698249578476,
0.036085326224565506,
0.0602552630007267,
-0.0182193536311388,
0.028273213654756546,
0.02044445462524891,
-0.009827503934502602,
0.008572149090468884,
-0.0498543307185173,
-0.01371724996715784,
-0.012848910875618458,
-0.022082868963479996,
-0.10873325169086456,
-0.011213255114853382,
-0.016762379556894302,
-0.027186496183276176,
0.01019795797765255,
0.00045010080793872476,
-0.020907429978251457,
-0.0011473970953375101,
-0.01002467144280672,
0.005560837686061859,
-0.07682885974645615,
0.06523433327674866,
0.01649395376443863,
-0.0056053209118545055,
0.02167392708361149,
-0.007886646315455437,
0.05261119082570076,
0.04102402552962303,
-0.04280003160238266,
0.07425753772258759,
-0.00506786722689867,
0.021408872678875923,
0.04106420278549194,
0.02661219984292984,
-0.030319474637508392,
-0.029504718258976936,
0.006716099102050066,
0.05709441006183624,
0.024360651150345802,
0.0016247237799689174,
0.02130180411040783,
-0.01761036552488804,
-0.007378031499683857,
0.00390697130933404,
0.04335241764783859,
-0.04837220534682274,
-0.0035804249346256256,
0.011851692572236061,
0.04776856303215027,
-0.02582918480038643,
0.05971639230847359,
-0.042151711881160736,
-0.02089124172925949,
-0.06106216460466385,
-0.03087799996137619,
0.025730961933732033,
-0.016858620569109917,
0.013334209099411964,
0.016789505258202553,
-0.06733438372612,
0.019640592858195305,
0.06032632291316986,
0.02515166439116001,
0.012381169945001602,
0.00017076090443879366,
-0.01642991602420807,
0.015993021428585052,
0.04299984499812126,
-0.0052819703705608845,
0.009408543817698956,
-0.010276942513883114,
-0.03532963991165161,
0.056597933173179626,
0.04303113743662834,
-0.044094305485486984,
-0.01087193563580513,
-0.02990879863500595,
-0.042862668633461,
0.061823926866054535,
0.022171759977936745,
0.00369679625146091,
-0.04736584424972534,
0.074715755879879,
-0.00580458203330636,
0.04308340698480606,
0.0034535422455519438,
-0.07585882395505905,
0.03359018638730049,
0.038930196315050125,
-0.0030497554689645767,
0.027943085879087448,
-0.03227740898728371,
0.07644907385110855,
-0.005040591582655907,
0.003497463883832097,
0.05024370923638344,
-0.06076923385262489,
-0.019333241507411003,
-0.00011360466305632144,
-0.040797531604766846,
0.05691305547952652,
0.02074805647134781,
-0.0018594209104776382,
0.049895159900188446,
0.04374898597598076,
0.019822295755147934,
0.04391993209719658,
-0.03104519471526146,
0.03244014456868172,
-0.04729050025343895,
-0.07081806659698486,
-0.027564935386180878,
0.055364493280649185,
-0.05409569665789604,
-0.02565149962902069,
0.030238129198551178,
-0.011204088106751442,
0.00292045040987432,
-0.021025432273745537,
-0.036353517323732376,
0.0430389940738678,
-0.004616388585418463,
-0.01303489226847887,
0.01785564236342907,
0.009789105504751205,
-0.04159189760684967,
0.05348474532365799,
0.028282692655920982,
-0.013397359289228916,
0.025362608954310417,
-0.004725215956568718,
0.09844445437192917,
0.10865593701601028,
-0.02346973493695259,
0.001633295207284391,
0.006661660503596067,
0.026285240426659584,
0.005518412217497826,
0.002128718188032508,
-0.002931195544078946,
0.0073567721992731094,
0.020932486280798912,
0.004324700217694044,
-0.007971870712935925,
0.06569567322731018,
-0.058355312794446945,
0.00238351384177804,
0.03624511882662773,
-0.015465805307030678,
0.040002595633268356,
-0.00516886729747057,
0.0319548062980175,
0.03947986289858818,
-0.035904426127672195,
-0.028495753183960915,
-0.010144620202481747,
-0.05813547596335411,
0.02427360974252224,
0.005869862157851458,
0.0007777490536682308,
-0.027758119627833366,
-0.03886238485574722,
-0.032224249094724655,
0.020569071173667908,
0.08790919184684753,
0.07317175716161728,
0.019786657765507698,
-0.01672062836587429,
0.007098686881363392,
-0.032843273133039474,
-0.05125197023153305,
-0.10721708089113235,
-0.029564144089818,
0.006954574957489967,
0.0531698614358902,
0.02646864764392376,
0.05432795360684395,
0.015416977927088737,
0.000006122173999756342,
-0.03954207897186279,
0.009184600785374641,
-0.00952431745827198,
0.00684397341683507,
-0.01545032300055027,
-0.04131631180644035,
0.005422326736152172,
0.027609601616859436,
0.05482485145330429,
-0.010226546786725521,
-0.00036853415076620877,
-0.007881846278905869,
-0.04665956646203995,
-0.01680779457092285,
0.0003822575381491333,
0.030031954869627953,
0.030378391966223717,
-0.008805908262729645,
-0.029237419366836548,
-0.04191703721880913,
-0.010355930775403976,
0.04034704715013504,
0.07177271693944931,
0.04153228923678398,
-0.016400866210460663,
-0.023526126518845558,
0.04252886772155762,
-0.00827974732965231,
0.013211593963205814,
-0.022954603657126427,
-0.014451872557401657,
-0.02243577502667904,
0.0046479059383273125,
-0.005301999859511852,
-0.005220887251198292,
-0.30927398800849915,
-0.009702997282147408,
0.010865628719329834,
0.0023658499121665955,
0.005253084935247898,
0.010161297395825386,
0.03573353961110115,
-0.02993556670844555,
-0.04920102283358574,
0.008562172763049603,
-0.013568481430411339,
0.049379270523786545,
-0.040530331432819366,
0.07740338146686554,
0.05196483060717583,
-0.010593032464385033,
-0.029586154967546463,
-0.024566827341914177,
0.05578560009598732,
-0.02227112092077732,
-0.02420218102633953,
-0.05140352249145508,
-0.030692091211676598,
0.0031951202545315027,
0.00855709332972765,
0.035010892897844315,
-0.07537766546010971,
-0.005697804037481546,
-0.05931685119867325,
-0.018594134598970413,
-0.03186160698533058,
-0.02891053631901741,
0.0019708366598933935,
0.03359327092766762,
-0.006131167057901621,
-0.011296181939542294,
0.03238510712981224,
0.008587050251662731,
0.0709143802523613,
-0.009222430177032948,
0.012088674120604992,
-0.004914583172649145,
-0.06247106194496155,
-0.02186591736972332,
0.06049022451043129,
-0.0273602157831192,
-0.015038175508379936,
0.01833553984761238,
-0.039382219314575195,
0.022538408637046814,
0.008174185641109943,
-0.03734865412116051,
-0.012753535062074661,
0.008241615258157253,
-0.005635943729430437,
-0.03630129247903824,
0.024195369333028793,
-0.008001193404197693,
-0.032292690128088,
0.02025773376226425,
0.019695229828357697,
-0.021331004798412323,
-0.009623748250305653,
-0.0390690416097641,
-0.003811516100540757,
-0.016484180465340614,
-0.09489234536886215,
-0.05637882649898529,
0.03596149757504463,
0.029591670259833336,
0.010259289294481277,
-0.004338487517088652,
-0.006942774634808302,
-0.09101596474647522,
0.03211995214223862,
0.002454010769724846,
-0.018279368057847023,
-0.013295634649693966,
-0.0034687493462115526,
0.015297611244022846,
-0.00439084367826581,
-0.03625990077853203,
0.003693789942190051,
0.024863196536898613,
0.02324068546295166,
-0.023315105587244034,
0.006336116697639227,
-0.051812972873449326,
-0.02653588354587555,
-0.014504916965961456,
0.03362531587481499,
-0.029686395078897476,
0.06420180201530457,
-0.0011406613048166037,
0.05368131771683693,
0.03283252939581871,
-0.0031391640659421682,
0.03850802779197693,
0.032202836126089096,
0.01091727428138256,
0.061268605291843414,
-0.06444128602743149,
-0.027939559891819954,
-0.014601446688175201,
-0.02434876188635826,
0.03939235955476761,
-0.03707040101289749,
-0.0025250643957406282,
0.01637527346611023,
0.024991139769554138,
-0.011093555949628353,
-0.030064020305871964,
-0.0016581976087763906,
-0.0429011695086956,
-0.0035716737620532513,
-0.02389444038271904,
0.012713166885077953,
0.03073357418179512,
0.05907101556658745,
0.021267473697662354,
-0.030078453943133354,
0.030009781941771507,
-0.032354313880205154,
-0.021024376153945923,
0.0007746444316580892,
0.008436796255409718,
0.008147796615958214,
0.013977986760437489,
-0.00489087076857686,
0.02467833086848259,
0.02031443454325199,
0.04080631956458092,
0.014923380687832832,
-0.00853629782795906,
0.052556272596120834,
-0.0018718541832640767,
-0.020786140114068985,
-0.02172980271279812,
0.05463907867670059,
-0.021370621398091316,
0.04644596204161644,
0.009277612902224064,
0.0284724161028862,
0.006383712403476238,
0.038652203977108,
0.006426592357456684,
0.02157939411699772,
0.031912028789520264,
0.004637880250811577,
-0.03397947549819946,
0.01259071659296751,
-0.023720066994428635,
-0.014030984602868557,
0.0006356795784085989,
-0.015754543244838715,
0.01657816953957081,
0.02180175483226776,
0.008030583150684834,
0.012745033018290997,
-0.07627549022436142,
0.038060128688812256,
-0.0013664148282259703,
-0.030090676620602608,
-0.019224222749471664,
-0.0035917458590120077,
0.07127297669649124,
-0.009641884826123714,
0.016644485294818878,
-0.005621477495878935,
0.027608279138803482,
0.017215464264154434,
-0.007203969173133373,
-0.02296610362827778,
-0.021066149696707726,
-0.05197180062532425,
0.027653811499476433,
0.015725163742899895,
-0.022435547783970833,
-0.025991318747401237,
0.03885037079453468,
-0.013576305471360683,
-0.050389181822538376,
0.009543287567794323,
0.006501888856291771,
0.06912629306316376,
0.02148645557463169,
-0.009218815714120865,
-0.01037286501377821,
-0.0369759202003479,
0.08438809961080551,
-0.017927631735801697,
0.029460670426487923,
-0.04145344719290733,
-0.015200519934296608,
-0.017817184329032898,
-0.026203058660030365,
0.04113876074552536,
0.017099561169743538,
-0.014291911385953426,
-0.020022185519337654,
-0.0018001639982685447,
0.018372580409049988,
-0.0015394276706501842,
-0.0017413031309843063,
0.021122585982084274,
-0.0759701281785965,
-0.008526429533958435,
0.03205760195851326,
-0.015605156309902668,
0.03381749242544174,
-0.005807694513350725,
-0.01107814908027649,
-0.07421819120645523,
0.006360270548611879,
0.01072950940579176,
-0.009354430250823498,
-0.019773907959461212,
-0.029249202460050583,
0.008458989672362804,
0.023250851780176163,
-0.01061562355607748,
-0.003963473718613386,
0.0011034279596060514,
-0.04796714335680008,
0.01286177709698677,
0.040740836411714554,
-0.05759916082024574,
-0.02931777946650982,
-0.02931525558233261,
-0.0008288934477604926,
0.021273212507367134,
-0.08097083866596222,
-0.010978369042277336,
0.037451379001140594,
-0.00756411999464035,
0.013510317541658878,
-0.03870972618460655,
0.02427668683230877,
-0.002091391012072563,
0.006380248349159956,
0.050571225583553314,
0.011018221266567707,
-0.016627643257379532,
-0.004522897303104401,
0.04396842420101166,
0.02224065735936165,
-0.009342021308839321,
-0.013038655743002892,
0.017409389838576317,
0.03412915766239166,
-0.011572834104299545,
-0.0019469100516289473,
-0.015130806714296341,
-0.01376846432685852,
0.06006016209721565,
-0.007320686709135771,
-0.018713198602199554,
-0.08569369465112686,
-0.020994361490011215,
0.007705446798354387,
-0.024352427572011948,
0.05017611011862755,
-0.03453714773058891,
0.008554834872484207,
0.03413229435682297,
0.026749124750494957,
0.03019903227686882,
-0.03585636615753174,
0.02757878415286541,
-0.08481249958276749,
0.027291717007756233,
-0.058510810136795044,
-0.01097108330577612,
0.03554270416498184,
-0.0383971706032753,
0.00462837889790535,
0.022479265928268433,
-0.019265763461589813,
0.057296331971883774,
-0.05364527925848961,
-0.0761970803141594,
0.003938767127692699,
-0.01977160945534706,
-0.020291322842240334,
0.03372926265001297,
-0.04004828631877899,
-0.022726722061634064,
-0.012079570442438126,
-0.013085008598864079,
0.024093860760331154,
0.04714759439229965,
0.006224994547665119,
-0.03985388204455376,
-0.007174568250775337,
-0.002287552459165454,
0.008329144679009914,
0.041443902999162674,
0.06553857028484344,
-0.00913071259856224,
0.02617240510880947,
-0.01518995314836502,
0.05713867023587227,
0.051498349756002426,
-0.012085978873074055,
0.05096715688705444,
0.03863752260804176,
0.003309768857434392,
-0.022847773507237434,
0.035819537937641144,
-0.0003857947594951838,
-0.005716318730264902,
-0.08125488460063934,
0.06028061732649803,
0.008103038184344769,
-0.0764928013086319,
-0.03516252338886261,
0.04133863374590874,
-0.02984108217060566,
0.022173991426825523,
-0.006306654307991266,
0.017182836309075356,
-0.001995878294110298,
0.04819861054420471,
0.003057594643905759,
0.02714669145643711,
0.046528857201337814,
0.03846631571650505,
-0.008809304796159267,
-0.012468826025724411,
0.0704738050699234,
0.09200558066368103,
0.01646830514073372,
-0.009793736971914768,
0.05225853994488716,
-0.02413266897201538,
-0.01627129316329956,
-0.028302893042564392,
0.008565657772123814,
-0.013963926583528519,
-0.022488167509436607,
0.0433434322476387,
0.07102230936288834,
0.011420334689319134,
0.08427796512842178,
-0.044644344598054886,
0.006504343822598457,
0.00905109103769064,
0.040396567434072495,
-0.0038677712436765432,
0.006979980506002903,
0.03294534236192703,
0.018868179991841316,
-0.0386320985853672,
-0.005185478366911411,
-0.0013591657625511289,
0.0024785667192190886,
0.02264784462749958,
-0.0075269220396876335,
-0.03975950554013252,
0.008607136085629463,
-0.06105735898017883,
-0.014806266874074936,
0.07563319057226181,
-0.023593006655573845,
-0.01723448373377323,
0.002774427877739072,
0.03706745803356171,
0.0067887622863054276,
0.04327012225985527,
0.02747906930744648,
-0.03098880685865879,
-0.005307801067829132,
-0.09326447546482086,
0.023061465471982956,
0.015247045084834099,
0.016777431592345238,
-0.010555396787822247,
-0.021790316328406334,
0.01849064603447914,
0.0016643365379422903,
0.017712177708745003,
-0.048534221947193146,
-0.04245252534747124,
-0.017575815320014954,
-0.06269832700490952,
-0.06931521743535995,
-0.033990416675806046,
-0.004855021834373474,
-0.0020373144652694464,
-0.0387965627014637,
0.010302851907908916,
-0.05300441011786461,
0.011768004857003689,
0.04352181777358055,
-0.07208861410617828,
0.003509668866172433,
0.07181519269943237,
0.007638226728886366,
0.011652113869786263,
0.026243846863508224,
0.02074393816292286,
-0.020899565890431404,
-0.018574317917227745,
-0.01635192334651947,
-0.009456723928451538,
0.03889206051826477,
0.0071297911927104,
0.014586160890758038,
-0.09184791892766953,
0.04445062205195427,
0.04076665639877319,
-0.014830258674919605,
-0.10653109848499298,
-0.001841278630308807,
-0.022574231028556824,
-0.00073700409848243,
0.049033503979444504,
0.0036247512325644493,
-0.014962234534323215,
-0.07871372997760773,
-0.015307340770959854,
-0.015435179695487022,
-0.003324075136333704,
0.0565631203353405,
-0.04744521155953407,
0.06725933402776718,
0.041273098438978195,
-0.008564465679228306,
-0.03266201168298721,
0.03570350259542465,
0.0015731487656012177,
0.028100788593292236,
-0.034391850233078,
-0.039812877774238586,
-0.033048149198293686,
-0.10983812063932419,
-0.0074959672056138515,
0.01806059293448925,
-0.0035681515000760555,
-0.02354070357978344,
-0.0005272427224554121,
-0.023568255826830864,
-0.005984724964946508,
-0.019783983007073402,
0.0012304037809371948,
0.004448740277439356,
-0.012615985237061977,
-0.039246492087841034,
-0.0674712285399437,
0.004802777897566557,
0.006161784753203392,
0.022187024354934692,
-0.007668967358767986,
-0.03963134437799454,
-0.040397532284259796,
-0.01693393476307392,
-0.007001461461186409,
0.01101919449865818,
0.013402522541582584,
0.02182692475616932
] | null |
514 |
Non-Asymptotic and Non-Lipschitzian Bounds on Optimal Values in Stochastic Optimization Under Heavy Tails
|
https://openreview.net/forum?id=XAFfOEFJG1
|
[
"Jindong Tong",
"Hongcheng Liu",
"Johannes O. Royset"
] |
Poster
|
This paper focuses on non-asymptotic confidence bounds (CB) for the optimal values of stochastic optimization (SO) problems. Existing approaches often rely on two conditions that may be restrictive: The need for a global Lipschitz constant and the assumption of light-tailed distributions. Beyond either of the conditions, it remains largely unknown whether computable CBs can be constructed. In view of this literature gap, we provide three key findings below: (i) Based on the conventional formulation of sample average approximation (SAA), we derive non-Lipschitzian CBs for convex SP problems under heavy tails. (ii) We explore diametrical risk minimization (DRM)---a recently introduced modification to SAA---and attain non-Lipschitzian CBs for nonconvex SP problems in light-tailed settings. (iii) We extend our analysis of DRM to handle heavy-tailed randomness by utilizing properties in formulations for training over-parameterized classification models.
|
Sample average approximation, diametrical risk minimization, confidence bound, heavy tails
|
This paper is focused on non-asymptotic and non-Lipschitzian confidence bounds for stochastic programming problems
| 13,286 | null |
[
-0.032100483775138855,
-0.004219067748636007,
0.0036293435841798782,
0.04576975479722023,
0.02958839014172554,
0.027099311351776123,
0.04454989731311798,
0.0031514628790318966,
-0.00845293514430523,
-0.043081142008304596,
-0.020795801654458046,
-0.01824145019054413,
-0.0637456402182579,
-0.01315980963408947,
0.013598411343991756,
0.06848213076591492,
0.029798779636621475,
0.005031713284552097,
0.02047703042626381,
0.03994040936231613,
-0.016637440770864487,
0.015383987687528133,
0.03533005341887474,
0.013518868945538998,
0.058622486889362335,
-0.009073080494999886,
-0.0064079719595611095,
0.01845116913318634,
-0.015758253633975983,
-0.009990090504288673,
0.023165922611951828,
0.029131589457392693,
0.000808899465482682,
-0.025638993829488754,
0.029524654150009155,
0.032880719751119614,
0.0015423664590343833,
-0.015196054242551327,
0.012982925400137901,
0.023229233920574188,
-0.06288963556289673,
-0.009412463754415512,
-0.03076902963221073,
0.026638135313987732,
-0.0500023253262043,
-0.004882786888629198,
-0.06984233856201172,
0.0407949723303318,
0.012251214124262333,
-0.06421484798192978,
-0.0760578140616417,
0.030959894880652428,
0.009404130280017853,
-0.008763749152421951,
0.0019833806436508894,
0.060917917639017105,
0.0212231557816267,
-0.061777178198099136,
-0.0246345903724432,
-0.08676423877477646,
-0.007962578907608986,
-0.0006772527121938765,
0.0216105654835701,
0.0116654634475708,
-0.0031605625990778208,
-0.0017591827781870961,
0.009595392271876335,
0.04609601944684982,
-0.02269037999212742,
-0.013655981980264187,
-0.01689094491302967,
-0.04410052299499512,
0.018417317420244217,
0.0035152235068380833,
-0.027527382597327232,
-0.05398484691977501,
0.012453061528503895,
0.03701605275273323,
0.05327192693948746,
0.012339864857494831,
0.01312065776437521,
0.022394588217139244,
0.02586347796022892,
0.03738221898674965,
0.000031472885893890634,
0.008213156834244728,
-0.04297616332769394,
-0.025660131126642227,
-0.07114586979150772,
0.06665229052305222,
-0.023619966581463814,
-0.030467504635453224,
0.035969704389572144,
0.01827555149793625,
-0.0075055696070194244,
-0.003442327259108424,
0.024610020220279694,
0.016194870695471764,
0.008625602349638939,
-0.016048168763518333,
-0.03464095667004585,
-0.0336618572473526,
0.00008252191037172452,
-0.0018853527726605535,
-0.10083255171775818,
-0.03267066925764084,
-0.015928925946354866,
0.005467834882438183,
-0.020083101466298103,
0.008659551851451397,
-0.03141026198863983,
0.019200289621949196,
-0.009917746298015118,
-0.0003723992849700153,
-0.07593239098787308,
0.025597132742404938,
0.0011298202443867922,
-0.004166820086538792,
-0.0031705964356660843,
-0.03226906433701515,
0.025829413905739784,
0.03665001317858696,
-0.005662913434207439,
0.07000844180583954,
-0.0067167808301746845,
0.0070466590113937855,
0.04051252827048302,
0.027165554463863373,
-0.004417888354510069,
-0.05028185248374939,
0.00629523815587163,
0.03586861118674278,
0.005684677045792341,
-0.019649775698781013,
-0.020319728180766106,
-0.014737836085259914,
0.021282512694597244,
0.026553340256214142,
0.02133043110370636,
0.016456689685583115,
-0.0035063575487583876,
-0.022764867171645164,
0.05144807696342468,
0.0084175830706954,
0.04761389642953873,
-0.035605646669864655,
0.046144645661115646,
-0.03875860199332237,
-0.06930667161941528,
-0.008072021417319775,
0.012395503930747509,
-0.003726990194991231,
-0.011378180235624313,
-0.06708028167486191,
0.03009360283613205,
0.010114481672644615,
0.022504568099975586,
0.023500729352235794,
-0.004813517909497023,
0.00823818426579237,
0.03777879849076271,
0.0169196967035532,
-0.007707705721259117,
-0.00445494893938303,
0.007039421703666449,
-0.06952952593564987,
0.08424768596887589,
0.0450621172785759,
-0.04180460795760155,
0.024871623143553734,
-0.05132026970386505,
-0.008283342234790325,
0.03160112723708153,
0.01263413392007351,
0.029716352000832558,
-0.013944909907877445,
0.07682058960199356,
-0.01095501147210598,
0.06565772742033005,
0.01472295168787241,
-0.08400364965200424,
0.0292451661080122,
0.04894346371293068,
0.03089057467877865,
-0.013654859736561775,
-0.02462872304022312,
0.07851570099592209,
-0.003917125053703785,
-0.0037738634273409843,
0.022002095356583595,
-0.11134716123342514,
-0.047112736850976944,
0.0041376398876309395,
-0.04040638357400894,
0.058139216154813766,
-0.004657199140638113,
-0.012141489423811436,
0.00394322257488966,
0.006719102617353201,
0.011060813441872597,
0.03113465942442417,
-0.05073334276676178,
0.023001402616500854,
0.025516005232930183,
-0.062176454812288284,
0.02708408236503601,
0.0483565479516983,
-0.045355331152677536,
-0.031043868511915207,
0.03249843791127205,
-0.0025607002899050713,
0.015715451911091805,
-0.019348636269569397,
-0.01199454814195633,
0.016573486849665642,
-0.03277875483036041,
0.011884835548698902,
-0.014219104312360287,
0.07466547936201096,
-0.03574003279209137,
0.03933628648519516,
0.03308761492371559,
-0.005567364394664764,
0.03935438022017479,
0.006921974942088127,
0.08476132899522781,
0.10436525195837021,
-0.037737421691417694,
0.0023015618789941072,
-0.006351359188556671,
-0.008672577328979969,
-0.01715264841914177,
0.03603515028953552,
-0.037320576608181,
0.02593776024878025,
0.031944435089826584,
0.0018739565275609493,
-0.02844678796827793,
0.06782130151987076,
-0.04332183301448822,
-0.003413895843550563,
0.05400409176945686,
-0.0030369169544428587,
0.05520496889948845,
-0.010413619689643383,
-0.02847798727452755,
0.0011041690595448017,
0.024584714323282242,
-0.014680761843919754,
-0.015470361337065697,
-0.04166568070650101,
0.01102476380765438,
0.028916722163558006,
-0.021556440740823746,
0.0014143437147140503,
-0.03558436036109924,
0.03450743108987808,
0.001564876758493483,
0.07996342331171036,
0.06283821165561676,
0.020903263241052628,
0.023158250376582146,
-0.0019300414714962244,
-0.013324007391929626,
-0.036443207412958145,
-0.10229893773794174,
-0.056635066866874695,
-0.024251634255051613,
0.05734780430793762,
0.024543436244130135,
0.013681281358003616,
-0.03842797502875328,
0.029643766582012177,
-0.0054819658398628235,
-0.027783583849668503,
-0.005294193513691425,
0.022219115868210793,
0.03067769668996334,
-0.028069058433175087,
-0.011784863658249378,
0.03638998791575432,
0.07066778838634491,
-0.0008156381663866341,
-0.02797788381576538,
-0.03634680062532425,
-0.03329278156161308,
-0.028635872527956963,
-0.0197453610599041,
-0.021064579486846924,
-0.002537755062803626,
-0.02059776522219181,
0.020991329103708267,
-0.03216855600476265,
0.043379656970500946,
0.014098004437983036,
0.03783740475773811,
0.04379292204976082,
0.0042272647842764854,
0.014171730726957321,
0.00642106169834733,
-0.01635095290839672,
0.0007361535099335015,
-0.03217747062444687,
-0.012007040902972221,
-0.01055019162595272,
0.020749880000948906,
-0.003077001078054309,
0.005132962018251419,
-0.26579970121383667,
0.00832690205425024,
-0.01944168098270893,
-0.010873528197407722,
0.029978971928358078,
-0.016568534076213837,
0.02593330666422844,
-0.03198038786649704,
-0.04459996521472931,
0.016514915972948074,
0.009734299033880234,
0.01892455853521824,
-0.02484520711004734,
0.07868344336748123,
0.06022927910089493,
0.03134005144238472,
-0.00019683684513438493,
-0.03518567234277725,
0.003776420373469591,
-0.0002607979404274374,
-0.018725918605923653,
-0.07292217761278152,
0.022962158545851707,
0.009972420521080494,
0.002137512667104602,
0.054810781031847,
-0.05565191060304642,
-0.01121273823082447,
-0.04667466878890991,
-0.016432277858257294,
-0.06237989664077759,
-0.030655493959784508,
-0.03523986041545868,
0.008590202778577805,
0.009570433758199215,
0.01929321326315403,
0.02696392871439457,
-0.03332871198654175,
-0.00847044587135315,
0.04157085716724396,
0.016100561246275902,
-0.00037221479578875005,
-0.008608718402683735,
0.0006380795384757221,
0.03312218561768532,
0.0065047298558056355,
-0.022862739861011505,
-0.0020204337779432535,
-0.024904074147343636,
0.04840076342225075,
0.005107378587126732,
-0.002178325317800045,
-0.0388394370675087,
-0.009863096289336681,
-0.0017501846887171268,
-0.03367556259036064,
0.010211663320660591,
-0.023313067853450775,
-0.010223199613392353,
0.01909170113503933,
0.00919199176132679,
-0.04913148656487465,
0.011990314349532127,
-0.0460432767868042,
0.0027787466533482075,
0.0023917867802083492,
-0.08217024058103561,
-0.04266345873475075,
0.037225861102342606,
0.021003756672143936,
-0.0008659143932163715,
0.01685415580868721,
-0.003381005022674799,
-0.07616093009710312,
-0.008031025528907776,
-0.03445124998688698,
0.02351994253695011,
0.01378706842660904,
0.0010243880096822977,
0.0367179699242115,
-0.026341954246163368,
-0.05169485881924629,
-0.01421835832297802,
0.029648441821336746,
0.005538590252399445,
-0.03675195947289467,
-0.0006622723303735256,
0.004319844767451286,
-0.010018138214945793,
-0.04004795476794243,
0.030614426359534264,
0.038864508271217346,
0.047392312437295914,
-0.025790054351091385,
0.07590274512767792,
0.060738611966371536,
0.014740671031177044,
0.03286328166723251,
0.014101075939834118,
-0.016713887453079224,
0.019215093925595284,
-0.06991790235042572,
-0.00964194256812334,
-0.04130774363875389,
-0.03213373199105263,
0.02409343048930168,
-0.061028048396110535,
-0.032564640045166016,
0.022115232422947884,
-0.012847390957176685,
-0.007127522025257349,
-0.015219522640109062,
-0.0121769979596138,
-0.02773471549153328,
-0.003209461225196719,
-0.0100411893799901,
-0.03100900910794735,
0.03338293731212616,
0.04402434453368187,
0.015120294876396656,
-0.02640717290341854,
0.05561210960149765,
-0.06096441671252251,
-0.05044272914528847,
-0.010336974635720253,
0.03477510064840317,
0.0004383423656690866,
-0.00017864631081465632,
-0.012486954219639301,
-0.008446924388408661,
0.020326903089880943,
0.06983213871717453,
0.04031883552670479,
-0.0013663212303072214,
0.04161678999662399,
0.03745825216174126,
-0.041468363255262375,
-0.032191623002290726,
0.04227866232395172,
-0.032880138605833054,
0.0188844446092844,
0.03106478974223137,
0.023864271119236946,
0.05840615928173065,
0.0416644811630249,
0.013412068597972393,
0.022660071030259132,
-0.015553589910268784,
0.013548147864639759,
0.013793647289276123,
-0.015700677409768105,
-0.026861010119318962,
0.018134325742721558,
-0.028980832546949387,
0.011673024855554104,
-0.006773659493774176,
0.04972675070166588,
0.028192764148116112,
0.03030361793935299,
-0.0830855518579483,
0.04321969300508499,
0.004013569559901953,
-0.01793639175593853,
-0.013129917904734612,
0.04938662424683571,
0.06421598047018051,
-0.04205126315355301,
-0.001509144902229309,
-0.006802872754633427,
0.006706222891807556,
0.03297651186585426,
-0.042216431349515915,
-0.04556496441364288,
0.0010002441704273224,
-0.003005658509209752,
-0.0060698846355080605,
0.015209906734526157,
-0.0177255067974329,
-0.05884438753128052,
-0.008014054968953133,
-0.013537891209125519,
-0.03042748011648655,
-0.0430033802986145,
0.011248310096561909,
0.09060949832201004,
0.002473335713148117,
-0.01762622594833374,
-0.019920602440834045,
-0.02994602732360363,
0.049896493554115295,
-0.017283713445067406,
-0.020394233986735344,
-0.02060963772237301,
-0.03479912504553795,
0.001519446144811809,
-0.04033461958169937,
0.030519194900989532,
0.003149169497191906,
-0.00761766592040658,
-0.00019400329620111734,
0.02197163552045822,
-0.0006340990075841546,
-0.04576907679438591,
-0.010712770745158195,
0.0059193153865635395,
-0.0757424384355545,
0.041806019842624664,
0.037284139543771744,
-0.02983776479959488,
0.024150820448994637,
-0.054266564548015594,
-0.04274587333202362,
-0.029969416558742523,
0.026547599583864212,
0.02867772988975048,
-0.023813286796212196,
-0.03136058151721954,
0.03682941943407059,
0.011375995352864265,
-0.009439078159630299,
0.030389968305826187,
-0.02311873249709606,
0.006460146047174931,
-0.02585902065038681,
0.005857730749994516,
0.04505205526947975,
-0.040859200060367584,
-0.03451642021536827,
0.002102772705256939,
-0.013714068569242954,
0.011922573670744896,
-0.07686733454465866,
-0.005571279674768448,
0.027326321229338646,
0.00966485496610403,
0.04204518720507622,
-0.07722201943397522,
0.04919916018843651,
-0.021682672202587128,
-0.012886350974440575,
-0.004458740819245577,
0.03427792340517044,
-0.010700782760977745,
-0.029384620487689972,
-0.005932531785219908,
0.03050265833735466,
0.00967544037848711,
0.010139647871255875,
-0.006638461723923683,
0.029917936772108078,
0.007784520275890827,
0.03720400482416153,
-0.052529990673065186,
0.026296088472008705,
0.05554821342229843,
0.012032155878841877,
-0.03822360187768936,
-0.0780172124505043,
-0.003445729613304138,
0.04866940528154373,
-0.0238716509193182,
0.03836846724152565,
-0.010585455223917961,
0.033943530172109604,
0.01893983967602253,
0.04617626592516899,
0.0029487297870218754,
-0.006047473289072514,
0.024311386048793793,
-0.07875217497348785,
-0.012262506410479546,
-0.052930381149053574,
0.004879342392086983,
0.03969426080584526,
-0.03177742287516594,
0.029991719871759415,
0.03638523817062378,
0.008097229525446892,
0.008797482587397099,
-0.04271930828690529,
-0.05830639228224754,
0.003168376861140132,
-0.04787908121943474,
-0.0027381170075386763,
0.016891049221158028,
-0.03837103024125099,
-0.023209352046251297,
-0.0064173126593232155,
-0.056853536516427994,
0.03429191932082176,
-0.0015969579108059406,
0.04088086262345314,
-0.018248997628688812,
0.020775463432073593,
-0.08372412621974945,
0.002047570189461112,
0.0522979237139225,
0.032367169857025146,
-0.0041591813787817955,
0.02364070899784565,
-0.0313873253762722,
0.052008140832185745,
0.037483297288417816,
0.024353913962841034,
-0.0005671082180924714,
0.006472457200288773,
-0.005260750185698271,
-0.06992411613464355,
0.06589649617671967,
-0.02542155794799328,
-0.013594187796115875,
-0.0573791079223156,
0.04075263813138008,
0.05169125273823738,
-0.03841320797801018,
-0.04080342873930931,
0.016936592757701874,
-0.06589042395353317,
0.024550898000597954,
-0.005945420358330011,
-0.01746998354792595,
0.03312394395470619,
0.07221351563930511,
-0.005017778370529413,
0.027627313509583473,
0.06088602915406227,
-0.004574672318994999,
-0.00668512936681509,
-0.02979270927608013,
0.06891738623380661,
0.044086355715990067,
0.050815727561712265,
-0.021270805969834328,
0.05685694143176079,
-0.05589577183127403,
-0.03123454563319683,
0.0015954169211909175,
-0.0134464455768466,
0.00792647060006857,
-0.038923200219869614,
-0.014102312736213207,
0.04052693769335747,
0.022880692034959793,
0.07119506597518921,
-0.0734114795923233,
0.009873797185719013,
0.02289389632642269,
-0.01337767206132412,
0.02365346997976303,
0.035096339881420135,
0.018911240622401237,
0.01568444073200226,
-0.03302380442619324,
-0.00281926104798913,
0.004665415734052658,
0.018578412011265755,
-0.010695032775402069,
-0.023923607543110847,
-0.011019095778465271,
-0.00298565742559731,
0.014004306867718697,
0.017268409952521324,
0.08617343008518219,
-0.045082833617925644,
-0.016947759315371513,
0.004304970148950815,
0.01275691483169794,
-0.025973180308938026,
0.08134263008832932,
0.04419594630599022,
-0.037177301943302155,
0.0035767864901572466,
-0.03029780089855194,
0.03938212990760803,
0.044921670109033585,
-0.005708976183086634,
0.023791475221514702,
0.00031502731144428253,
0.004551583435386419,
0.013188034296035767,
0.013373415917158127,
-0.039963897317647934,
-0.054877154529094696,
-0.012034227140247822,
-0.0664558857679367,
-0.06528255343437195,
-0.051691289991140366,
0.004334054421633482,
0.011503929272294044,
-0.026999784633517265,
-0.0010707033798098564,
-0.040678638964891434,
0.04957635700702667,
-0.007025554310530424,
-0.029460815712809563,
-0.0006059461738914251,
0.03629700839519501,
-0.008419507183134556,
0.027925465255975723,
0.018845802173018456,
0.03383912518620491,
-0.0052777184173464775,
-0.02524537779390812,
0.05588170140981674,
0.010819301940500736,
0.027939779683947563,
-0.0052333734929561615,
0.04114443063735962,
-0.07506169378757477,
0.006239128299057484,
0.009850707836449146,
-0.01846502348780632,
-0.0914195328950882,
0.033997535705566406,
-0.022442420944571495,
-0.005220518913120031,
0.059803590178489685,
0.0029797700699418783,
0.024057991802692413,
-0.05717821419239044,
-0.03735928609967232,
-0.029803423210978508,
-0.008731852285563946,
0.02247840352356434,
-0.0016469639958813787,
0.0521857850253582,
0.01120939664542675,
-0.02528277039527893,
-0.06346859782934189,
0.0552235022187233,
-0.04309927299618721,
0.035700906068086624,
-0.01129975263029337,
0.004101347178220749,
-0.03529927134513855,
-0.1300901174545288,
-0.006803781725466251,
0.0179732795804739,
-0.0031746202148497105,
-0.026623893529176712,
0.007442089729011059,
0.026200944557785988,
-0.008427952416241169,
0.02989094890654087,
-0.013372045010328293,
-0.007452058140188456,
-0.06077936664223671,
-0.011511164717376232,
-0.08713657408952713,
0.019616788253188133,
-0.011991935782134533,
-0.026737621054053307,
-0.023388514295220375,
-0.06779593974351883,
-0.05271085351705551,
-0.039179250597953796,
0.005878423806279898,
0.040479715913534164,
0.0022145507391542196,
-0.0066296993754804134
] | null |
515 |
Understanding Overadaptation in Supervised Fine-Tuning: The Role of Ensemble Methods
|
https://openreview.net/forum?id=1xsW6tvMb3
|
[
"Yifan HAO",
"Xingyuan Pan",
"Hanning Zhang",
"Chenlu Ye",
"Rui Pan",
"Tong Zhang"
] |
Poster
|
Supervised fine-tuning (SFT) on domain-specific data is the dominant approach for adapting foundation models to specialized tasks. However, it has been observed that SFT models tend to forget knowledge acquired during pretraining. In vision models, ensembling a pretrained model with its fine-tuned counterpart has been shown to mitigate this issue. In this work, we demonstrate that the same holds for language models, and, more strikingly, we observe an overadaptation phenomenon: the ensemble model not only retains general knowledge from the foundation model but also outperforms the fine-tuned model even on the fine-tuning domain itself.
Despite the empirical success of ensembling, a theoretical understanding of its benefits remains underexplored. We develop a formal theoretical analysis of the overadaptation phenomenon.
Ensembling mitigates this by balancing two primary sources of error: bias, caused by insufficient fine-tuning, and variance, introduced by overfitting to fine-tuning data. While regularization techniques aim to address this trade-off, we show that ensembling provides a more effective solution. We analyze this phenomenon in over-parameterized linear settings and demonstrate that interpolating between pretrained and fine-tuned weights significantly improves performance. These findings offer theoretical justification for the observed advantages of model ensembling, supported by empirical experiments consistent with our analysis.
|
model ensemble, fine-tuning, multi-task
|
This paper mainly focuses on understanding the benefits of ensemble in supervised fine-tuning.
| 13,280 | null |
[
-0.00463497219607234,
-0.032098568975925446,
-0.004661785904318094,
0.02656055986881256,
0.04585760459303856,
0.0033255149610340595,
0.03821614757180214,
0.018812719732522964,
-0.03486260026693344,
-0.036839358508586884,
-0.012985650449991226,
0.033513233065605164,
-0.08586166799068451,
-0.011762181296944618,
-0.01930880732834339,
0.06425676494836807,
0.0525871217250824,
-0.002042598556727171,
0.011396391317248344,
0.02984628453850746,
0.017170941457152367,
-0.04728875309228897,
0.028074178844690323,
0.012001700699329376,
0.009111668914556503,
-0.017531629651784897,
0.012905004434287548,
-0.01424909196794033,
-0.01283077709376812,
0.000736716203391552,
0.05126609280705452,
0.006782128009945154,
0.007546551059931517,
-0.029975885525345802,
-0.017102185636758804,
-0.003559602191671729,
-0.025459781289100647,
-0.029343396425247192,
0.008388330228626728,
0.014163057319819927,
-0.04760226234793663,
-0.006337288301438093,
-0.004580139182507992,
0.021652383729815483,
-0.08365277945995331,
0.011794419959187508,
-0.12192905694246292,
0.0332503505051136,
0.009205655194818974,
-0.0646064504981041,
-0.09268239885568619,
0.04316253960132599,
0.02115866169333458,
-0.024642955511808395,
0.02649739943444729,
0.04649601876735687,
0.036400169134140015,
-0.07504872232675552,
0.009496510028839111,
-0.04579074680805206,
-0.03930120915174484,
0.024150090292096138,
0.012425325810909271,
-0.007154975086450577,
-0.007366650737822056,
-0.016075963154435158,
-0.018713314086198807,
0.043308816850185394,
-0.04620976373553276,
-0.009982653893530369,
-0.027160828933119774,
0.029990866780281067,
0.021399086341261864,
-0.011926683597266674,
-0.0009566900553181767,
-0.01650395430624485,
0.04027649015188217,
0.014122293330729008,
0.0720994621515274,
-0.015710916370153427,
0.00216336059384048,
-0.008020858280360699,
0.05188464745879173,
0.032158732414245605,
0.038347143679857254,
-0.007598182186484337,
-0.05386726185679436,
-0.0338672436773777,
-0.061183273792266846,
0.03239504620432854,
-0.019901638850569725,
-0.054345764219760895,
0.01903735101222992,
0.03216706961393356,
0.019003333523869514,
0.027796775102615356,
-0.004377083852887154,
0.014517842791974545,
0.006562434136867523,
0.046272750943899155,
-0.02045629173517227,
-0.015379185788333416,
-0.00031998613849282265,
0.04182595759630203,
-0.09869025647640228,
-0.01449320837855339,
-0.018004415556788445,
-0.023210566490888596,
-0.0071348524652421474,
-0.01455515343695879,
-0.02715913951396942,
-0.03755178302526474,
0.006670385133475065,
-0.031014494597911835,
-0.10086574405431747,
0.015538276173174381,
-0.010144474916160107,
0.023925956338644028,
-0.008821062743663788,
-0.013620673678815365,
0.06313961744308472,
0.06286590546369553,
-0.03056034818291664,
0.07166749238967896,
-0.01285733375698328,
-0.004042966291308403,
0.008760827593505383,
0.029618922621011734,
-0.04560190811753273,
0.0012170476838946342,
-0.00345363630913198,
0.01941344141960144,
-0.015590243972837925,
-0.013731411658227444,
0.000375983101548627,
-0.0242063757032156,
0.005831430666148663,
-0.011240747757256031,
0.03140731528401375,
0.020925140008330345,
-0.014225611463189125,
0.0183724332600832,
0.023110469803214073,
-0.0208696648478508,
0.05488906800746918,
-0.011652084067463875,
-0.04423748701810837,
-0.0017254325794056058,
-0.013280105777084827,
0.01920883171260357,
0.029654398560523987,
0.009539821185171604,
-0.02712046168744564,
-0.054068323224782944,
0.0489589124917984,
0.07493714243173599,
0.0024531716480851173,
0.007631643209606409,
0.035505980253219604,
-0.001067973906174302,
0.0044012535363435745,
0.013425975106656551,
0.0014359259512275457,
0.03285788744688034,
-0.015108945779502392,
-0.05338514596223831,
0.0031347700860351324,
0.028354698792099953,
-0.031060682609677315,
0.0445140041410923,
-0.029856128618121147,
-0.039969682693481445,
0.062210675328969955,
-0.0485985241830349,
-0.017625125125050545,
-0.010018061846494675,
0.036268651485443115,
0.03338523209095001,
0.0394129641354084,
0.05405465513467789,
-0.07926435768604279,
0.01957038976252079,
0.010292059741914272,
-0.0008073535864241421,
0.009065179154276848,
-0.016558971256017685,
0.07553766667842865,
-0.046326395124197006,
0.0027133373077958822,
0.00892776157706976,
-0.058750949800014496,
-0.041003964841365814,
0.025929389521479607,
-0.025552045553922653,
0.0669623538851738,
0.008246110752224922,
-0.003964521456509829,
0.06649899482727051,
0.031458985060453415,
0.062042899429798126,
0.06585104763507843,
-0.027267927303910255,
0.03508978709578514,
-0.026073718443512917,
-0.014126310124993324,
0.009854434989392757,
0.055615514516830444,
-0.05436545982956886,
-0.035357765853405,
0.019034013152122498,
0.006055969744920731,
-0.020088057965040207,
-0.0013813696568831801,
0.007438569329679012,
0.020525479689240456,
0.023024527356028557,
-0.013639100827276707,
0.003993617370724678,
-0.023610452190041542,
-0.05040617287158966,
0.016093678772449493,
0.029364457353949547,
-0.018525894731283188,
-0.0032031938899308443,
-0.02821284718811512,
0.08996088057756424,
0.0622347891330719,
-0.020241213962435722,
-0.009902162477374077,
-0.0024525532498955727,
0.009404201060533524,
0.016134090721607208,
0.0324849896132946,
-0.00465121865272522,
0.015360942110419273,
-0.03694117069244385,
-0.004545300733298063,
-0.040458641946315765,
0.050190187990665436,
-0.054878268390893936,
-0.009096234105527401,
0.08191794902086258,
-0.044690363109111786,
0.04804503172636032,
0.009482646360993385,
0.0030049029737710953,
0.05633600428700447,
-0.012077391147613525,
-0.022702138870954514,
-0.017570026218891144,
-0.0005370456492528319,
-0.003760879160836339,
-0.02553793229162693,
-0.025140861049294472,
0.01268826425075531,
-0.04156829044222832,
-0.015331612899899483,
-0.04012612998485565,
0.09244326502084732,
0.042219989001750946,
-0.004039906430989504,
0.026631668210029602,
-0.008715667761862278,
-0.012437752448022366,
-0.002014764118939638,
-0.09985895454883575,
0.00020114568178541958,
-0.01976161263883114,
0.045607760548591614,
-0.013444759882986546,
0.04460018128156662,
-0.008017217740416527,
0.05054239556193352,
-0.01678338274359703,
-0.010353175923228264,
-0.007349958643317223,
0.042172838002443314,
-0.012070564553141594,
-0.05220344290137291,
-0.007319391239434481,
0.008506749756634235,
0.05883270502090454,
-0.0021169432438910007,
-0.02808433584868908,
-0.049609314650297165,
-0.056307919323444366,
-0.03370370715856552,
-0.03188404440879822,
-0.031657032668590546,
0.01680605299770832,
0.039736557751894,
0.015098261646926403,
-0.021675311028957367,
0.0042642829939723015,
-0.005986703559756279,
0.09028310328722,
0.03943886235356331,
0.02152765356004238,
-0.02400820143520832,
0.015456805936992168,
0.0034832078963518143,
0.03764447942376137,
-0.01409298274666071,
0.011308315210044384,
-0.004763221368193626,
0.010831953026354313,
-0.0022549002896994352,
0.019681479781866074,
-0.2827909588813782,
-0.008225289173424244,
0.05223969370126724,
0.0035664343740791082,
0.006963164545595646,
-0.02191116288304329,
0.04072416201233864,
-0.02859819307923317,
-0.01475710328668356,
0.00966999027878046,
0.007886740379035473,
0.02489517629146576,
0.004015334881842136,
0.05433843284845352,
0.013401724398136139,
0.03174561634659767,
0.022933006286621094,
-0.0369965098798275,
0.024966442957520485,
0.0559539794921875,
-0.017622122541069984,
-0.08310024440288544,
-0.04383790120482445,
0.06046026200056076,
-0.015319558791816235,
0.0645170509815216,
-0.07475335150957108,
-0.009050082415342331,
-0.020995602011680603,
-0.006607036106288433,
0.00969091895967722,
-0.021955598145723343,
0.0020275230053812265,
0.047837935388088226,
-0.0016385118942707777,
0.008841675706207752,
0.039952460676431656,
-0.008397458121180534,
0.04063662141561508,
0.028823204338550568,
0.019381243735551834,
-0.02897614985704422,
-0.007173934020102024,
0.018582792952656746,
0.061522748321294785,
-0.002640823135152459,
-0.04892156645655632,
-0.01784661039710045,
-0.023628870025277138,
0.03655841574072838,
-0.005289785098284483,
-0.03312304615974426,
-0.020261798053979874,
0.006364108994603157,
-0.0008833448518998921,
-0.010032209567725658,
0.048290643841028214,
-0.005907961633056402,
0.01673256792128086,
0.025868788361549377,
-0.022067120298743248,
-0.06446835398674011,
-0.0025194387417286634,
-0.04783770069479942,
-0.002960259560495615,
-0.03680858388543129,
-0.07162472605705261,
-0.03322506695985794,
0.024328632280230522,
0.015654081478714943,
-0.017625853419303894,
0.03491727262735367,
0.0024227043613791466,
-0.09965899586677551,
0.0065176826901733875,
-0.015338096767663956,
-0.0027811771724373102,
-0.02110896073281765,
0.004023720044642687,
0.0461539588868618,
-0.056046634912490845,
-0.02037523128092289,
0.02128940261900425,
0.02452273480594158,
0.025469519197940826,
-0.027584606781601906,
0.013451469130814075,
-0.03226836770772934,
-0.008070757612586021,
-0.0008074127836152911,
0.03319139406085014,
0.0008315467275679111,
0.020225761458277702,
0.010652951896190643,
0.04886653646826744,
0.04513717442750931,
0.017971768975257874,
0.061442069709300995,
0.06164903566241264,
0.00572523009032011,
0.03019862063229084,
-0.0861482098698616,
-0.03891652077436447,
-0.035111743956804276,
-0.015465015545487404,
0.002112072426825762,
-0.0671512708067894,
-0.010500808246433735,
0.037855010479688644,
0.005331429652869701,
-0.0005169082432985306,
-0.008060337044298649,
-0.006787605583667755,
0.0021807076409459114,
0.0028535411693155766,
-0.023406850174069405,
0.0190130602568388,
0.007484974339604378,
0.022793838754296303,
-0.010109188966453075,
-0.020760947838425636,
0.04007487744092941,
-0.023079991340637207,
0.0104439165443182,
-0.01342079322785139,
-0.04015662893652916,
-0.009309898130595684,
-0.037872858345508575,
-0.05039093643426895,
-0.0013155305059626698,
0.02856278046965599,
0.03263226896524429,
-0.011644314043223858,
0.028344538062810898,
0.05227437987923622,
-0.006767318584024906,
0.0003638126072473824,
0.028172334656119347,
0.011580985970795155,
-0.04897784814238548,
0.030490746721625328,
-0.0009452967788092792,
0.032428860664367676,
0.014878209680318832,
0.036354709416627884,
0.022943034768104553,
0.0000711856919224374,
-0.0132524399086833,
-0.02061578258872032,
-0.009322562254965305,
0.03789602220058441,
-0.03906136006116867,
-0.045191556215286255,
-0.04695870354771614,
-0.038446132093667984,
0.016112087294459343,
0.010116444900631905,
-0.0068157440982759,
0.012267419137060642,
-0.07218451052904129,
0.0524938590824604,
0.021856794133782387,
-0.0328453965485096,
-0.007737066596746445,
0.02605699934065342,
0.025081386789679527,
-0.031142670661211014,
-0.007373955566436052,
-0.005149828735738993,
0.008892490528523922,
0.008755061775445938,
0.0028915174771100283,
-0.03288084268569946,
-0.02442461997270584,
0.0002042573323706165,
0.0038496830966323614,
0.026222169399261475,
-0.027905402705073357,
-0.0037075993604958057,
0.06311758607625961,
0.016265831887722015,
0.005176724400371313,
-0.019937559962272644,
-0.0015238303458318114,
0.08572682738304138,
0.0203297920525074,
0.005045394413173199,
-0.013824155554175377,
-0.016154028475284576,
0.037158362567424774,
-0.01695075072348118,
-0.0041145686991512775,
-0.004631210584193468,
-0.017531638965010643,
-0.014219766482710838,
-0.040419429540634155,
0.0043259719386696815,
0.03591489419341087,
-0.027129780501127243,
-0.005318422336131334,
-0.010675426572561264,
0.004664933774620295,
-0.04520559310913086,
-0.007788889110088348,
0.043823521584272385,
-0.08867248147726059,
0.012603224255144596,
0.014719548635184765,
-0.031710486859083176,
0.04260779917240143,
-0.025008749216794968,
-0.05251612141728401,
-0.07167430222034454,
-0.033556923270225525,
0.015552807599306107,
-0.03578903526067734,
-0.01467452198266983,
-0.0011535867815837264,
0.018928850069642067,
-0.03784547746181488,
-0.0048704445362091064,
-0.010002397932112217,
-0.004838708788156509,
-0.011629565618932247,
-0.005680149886757135,
0.008304715156555176,
-0.01842862367630005,
0.001002699718810618,
-0.0013291931245476007,
-0.04140293970704079,
0.017278039827942848,
-0.04867631942033768,
0.002442216034978628,
0.07015551626682281,
-0.011053553782403469,
-0.029293229803442955,
-0.04478076472878456,
0.053477197885513306,
0.031247233971953392,
-0.02644546888768673,
0.0203995518386364,
-0.018025824800133705,
-0.027891691774129868,
0.018728643655776978,
-0.025027623400092125,
0.054841771721839905,
0.016739506274461746,
-0.0025012169498950243,
0.001309801242314279,
0.024729693308472633,
0.023945068940520287,
0.02932875230908394,
-0.03801162168383598,
0.005280348472297192,
0.04997981712222099,
-0.039488501846790314,
-0.022391198202967644,
-0.0803787037730217,
-0.050214264541864395,
0.007256634999066591,
-0.00431723752990365,
0.02749449759721756,
-0.027708446606993675,
0.029396435245871544,
0.008932712487876415,
0.04026017710566521,
-0.034826140850782394,
-0.03322313353419304,
0.043647971004247665,
-0.031142082065343857,
0.015567254275083542,
-0.0687154158949852,
-0.05257277935743332,
0.05433546006679535,
-0.03406840190291405,
0.00991007499396801,
-0.015184042975306511,
-0.030842721462249756,
0.04359756410121918,
-0.03133779391646385,
-0.05055699869990349,
0.008801719173789024,
-0.002532842569053173,
0.018752800300717354,
0.0028947258833795786,
-0.04804887995123863,
-0.00632999325171113,
-0.03177161514759064,
-0.04500507563352585,
-0.014263048768043518,
-0.014967513270676136,
0.0502205528318882,
-0.04129515960812569,
0.0016948431730270386,
-0.032458823174238205,
-0.0017906130524352193,
0.0023546640295535326,
0.06300800293684006,
0.033222392201423645,
0.02874601073563099,
-0.03640199452638626,
0.08001364767551422,
0.04269108548760414,
-0.004876213613897562,
-0.002797479275614023,
0.017817078158259392,
-0.0016210946487262845,
-0.06562566757202148,
0.04391435533761978,
-0.012027855962514877,
-0.012708769179880619,
-0.06513889133930206,
0.062526635825634,
0.04741167649626732,
-0.06018416956067085,
-0.008186166174709797,
0.04742864891886711,
-0.03378938511013985,
0.0013160520466044545,
0.0013571458403021097,
-0.007040971890091896,
-0.012224018573760986,
0.06432361900806427,
0.03550831601023674,
0.0670509785413742,
0.09049436450004578,
0.013079882599413395,
-0.009785418398678303,
0.01741904392838478,
0.06294722855091095,
0.04468012973666191,
0.05334755405783653,
0.01083512045443058,
0.06765636801719666,
-0.018066253513097763,
-0.04625720903277397,
0.036738909780979156,
0.023393025621771812,
0.0055257962085306644,
-0.05667325109243393,
0.006117170210927725,
0.09330747276544571,
0.02856374718248844,
0.06896887719631195,
-0.036351531744003296,
-0.02257082611322403,
0.030869651585817337,
-0.003100847126916051,
-0.0025407392531633377,
0.024507537484169006,
0.03964734449982643,
0.0009124274947680533,
-0.02578906901180744,
-0.017562368884682655,
-0.006656602956354618,
-0.004341233056038618,
0.013620954938232899,
0.01603083126246929,
-0.029707394540309906,
-0.008860466070473194,
-0.0062660411931574345,
0.04270946979522705,
0.09907296299934387,
-0.01562950573861599,
-0.02050922065973282,
0.02098235674202442,
0.03848640248179436,
-0.001956359250470996,
0.06142495200037956,
-0.02101263776421547,
-0.03380362689495087,
-0.010128423571586609,
-0.0164553951472044,
0.01422764640301466,
0.007541181053966284,
0.0014091947814449668,
0.03160925954580307,
-0.04350230470299721,
-0.018949272111058235,
0.028562042862176895,
0.017816370353102684,
-0.020269671455025673,
-0.06679494678974152,
-0.00949971191585064,
-0.06844136863946915,
-0.04442647099494934,
-0.05646629258990288,
0.016982292756438255,
-0.012094015255570412,
-0.00986086018383503,
-0.04323825612664223,
-0.015191475860774517,
0.014072943478822708,
0.03540606051683426,
-0.05910737067461014,
-0.011856334283947945,
0.029427455738186836,
-0.0008557821856811643,
-0.015489836223423481,
0.05340108275413513,
0.016204189509153366,
-0.016785793006420135,
-0.0032366658560931683,
0.060270439833402634,
-0.0010418468154966831,
0.04015997424721718,
0.01744922250509262,
0.01388078648597002,
-0.09903129190206528,
-0.00804461631923914,
0.029496951028704643,
-0.046890296041965485,
-0.09444934874773026,
0.050845663994550705,
-0.017115997150540352,
0.02838713862001896,
0.03136143833398819,
-0.007933041080832481,
0.013893891125917435,
-0.01706116273999214,
-0.0023356389719992876,
-0.006726230960339308,
0.02967642806470394,
0.04978581890463829,
-0.032823771238327026,
0.06345278769731522,
0.033627115190029144,
0.002050170209258795,
-0.05861165374517441,
0.029162870720028877,
-0.023555826395750046,
0.018106603994965553,
-0.008925839327275753,
-0.03485682234168053,
-0.024038279429078102,
-0.07663805782794952,
-0.00616194074973464,
0.011172443628311157,
-0.015617278404533863,
-0.03989464044570923,
-0.027626806870102882,
-0.026539387181401253,
-0.03716074302792549,
-0.007490191143006086,
0.029582219198346138,
-0.010224729776382446,
-0.041385140269994736,
-0.04315190762281418,
-0.06658437103033066,
-0.006470251362770796,
-0.03168603405356407,
0.01102057471871376,
-0.02457292191684246,
-0.04864189773797989,
0.022447019815444946,
-0.019459307193756104,
0.01859908178448677,
-0.008831717073917389,
0.030876388773322105,
-0.00994116347283125
] |
https://github.com/xypan0/LLMForgetting
|
516 |
TabICL: A Tabular Foundation Model for In-Context Learning on Large Data
|
https://openreview.net/forum?id=0VvD1PmNzM
|
[
"Jingang QU",
"David Holzmüller",
"Gaël Varoquaux",
"Marine Le Morvan"
] |
Poster
|
The long-standing dominance of gradient-boosted decision trees on tabular data is currently challenged by tabular foundation models using In-Context Learning (ICL): setting the training data as context for the test data and predicting in a single forward pass without parameter updates. While TabPFNv2 foundation model excels on tables with up to 10K samples, its alternating column- and row-wise attentions make handling large training sets computationally prohibitive. So, can ICL be effectively scaled and deliver a benefit for larger tables? We introduce TabICL, a tabular foundation model for classification, pretrained on synthetic datasets with up to 60K samples and capable of handling 500K samples on affordable resources. This is enabled by a novel two-stage architecture: a column-then-row attention mechanism to build fixed-dimensional embeddings of rows, followed by a transformer for efficient ICL. Across 200 classification datasets from the TALENT benchmark, TabICL is on par with TabPFNv2 while being systematically faster (up to 10 times), and significantly outperforms all other approaches. On 53 datasets with over 10K samples, TabICL surpasses both TabPFNv2 and CatBoost, demonstrating the potential of ICL for large data. Pretraining code, inference code, and pre-trained models are available at https://github.com/soda-inria/tabicl.
|
Foundation Model, In-Context Learning, Tabular Data, Tabular Classification
| null | 13,277 |
2502.05564
|
[
-0.027030445635318756,
-0.02924964390695095,
-0.020857179537415504,
0.028927449136972427,
0.027193119749426842,
0.0007045192178338766,
-0.0005761338397860527,
0.030883321538567543,
-0.05273079872131348,
-0.018999464809894562,
-0.001990532735362649,
-0.001985414419323206,
-0.07062876224517822,
-0.008120750077068806,
0.025834571570158005,
0.06280936300754547,
0.05093797296285629,
-0.024855153635144234,
0.014932245016098022,
0.012752777896821499,
0.009227928705513477,
-0.04799160733819008,
0.028246542438864708,
0.0021317803766578436,
0.011520151980221272,
-0.0033559121657162905,
0.016760099679231644,
0.02212764322757721,
-0.035729438066482544,
0.020996078848838806,
0.01826651580631733,
-0.019229408353567123,
0.030130624771118164,
-0.03555302694439888,
0.03072412870824337,
0.030390406027436256,
-0.02372005768120289,
0.01681555062532425,
0.0009227468981407583,
-0.010727091692388058,
-0.035445038229227066,
0.0260094553232193,
0.028790077194571495,
0.0350414402782917,
-0.01505945809185505,
0.02034524455666542,
-0.08886849135160446,
0.03291478753089905,
-0.0014715875731781125,
-0.043650418519973755,
-0.08053870499134064,
0.041853975504636765,
-0.03869934752583504,
-0.057138603180646896,
0.014090451411902905,
0.028769424185156822,
0.04438740760087967,
-0.06366028636693954,
0.008113110437989235,
-0.03148476406931877,
-0.05811444669961929,
0.015282302163541317,
0.028684984892606735,
0.0025188347790390253,
-0.024779489263892174,
-0.015375850722193718,
-0.027053333818912506,
0.012281356379389763,
-0.06177731975913048,
0.00440077343955636,
-0.03638140857219696,
-0.009052228182554245,
-0.03356292471289635,
0.00046774098882451653,
0.009234359487891197,
-0.02107982151210308,
-0.013771962374448776,
0.014109266921877861,
0.11184042692184448,
-0.013355791568756104,
0.03073004074394703,
0.0055905915796756744,
-0.001762397587299347,
0.01977212354540825,
-0.013908924534916878,
0.0009248200221918523,
-0.0541587769985199,
-0.06747987866401672,
-0.06786680221557617,
0.029331523925065994,
0.0005613547400571406,
-0.027026653289794922,
0.022743016481399536,
0.02448994293808937,
0.04426722601056099,
-0.014511101879179478,
0.023284532129764557,
-0.023933105170726776,
0.0020880724769085646,
0.01114573422819376,
-0.0031830156221985817,
-0.049268368631601334,
0.015189995057880878,
0.03138766065239906,
-0.11309782415628433,
-0.0007836847798898816,
-0.026741821318864822,
0.006969497539103031,
-0.0057357363402843475,
0.005682201124727726,
-0.03783386945724487,
-0.01634264551103115,
0.019970141351222992,
-0.042609915137290955,
-0.07877988368272781,
0.026057155802845955,
0.036988433450460434,
0.046726081520318985,
0.024888088926672935,
0.015860266983509064,
0.03675008937716484,
0.056168511509895325,
-0.01435116957873106,
0.06518464535474777,
-0.021431084722280502,
0.018943188712000847,
0.003478995757177472,
0.017732439562678337,
-0.014942782931029797,
-0.02751760371029377,
-0.015373088419437408,
0.009995454922318459,
0.009170250035822392,
-0.013615842908620834,
-0.006252024322748184,
-0.005603841505944729,
-0.011202335357666016,
0.015483141876757145,
0.05904128775000572,
0.007849832996726036,
0.008143357001245022,
-0.046200547367334366,
0.07465086132287979,
-0.039395228028297424,
0.10409294813871384,
-0.02107744663953781,
-0.033190034329891205,
-0.02703736536204815,
-0.01787288673222065,
-0.02774023450911045,
0.018811628222465515,
0.023199960589408875,
-0.00012446368054952472,
-0.05806298181414604,
0.03127862885594368,
0.07274805009365082,
0.020873693749308586,
-0.01573706604540348,
0.0053858510218560696,
0.017928363755345345,
0.012512849643826485,
0.0010068961419165134,
-0.024133577942848206,
0.010677656158804893,
0.02424711547791958,
-0.048608213663101196,
0.023931249976158142,
0.018314771354198456,
-0.04204508289694786,
0.03966103866696358,
-0.03327630087733269,
-0.03669023886322975,
0.03809765353798866,
-0.021174751222133636,
0.007943350821733475,
-0.01465956587344408,
0.05135718733072281,
-0.03201913461089134,
0.01487965788692236,
-0.008914328180253506,
-0.08017264306545258,
0.06155580282211304,
-0.003648892743512988,
-0.004007398150861263,
-0.022108079865574837,
0.0024844349827617407,
0.09396196901798248,
-0.038468290120363235,
-0.006878577638417482,
0.01035244856029749,
-0.06228014454245567,
-0.01671331748366356,
0.009384581819176674,
0.00581664452329278,
0.07298661768436432,
-0.008690631948411465,
-0.004059594124555588,
0.038249943405389786,
0.004368721507489681,
0.05212957039475441,
0.024709021672606468,
-0.01986851543188095,
0.029335252940654755,
-0.009341511875391006,
-0.03504116088151932,
-0.006332098040729761,
0.014524328522384167,
-0.040154553949832916,
-0.03208765387535095,
0.006288801319897175,
-0.02651340514421463,
-0.011281317099928856,
0.02415352873504162,
0.0006136830197647214,
0.026255052536725998,
0.01225923653692007,
-0.00941544957458973,
0.034857820719480515,
0.0052979374304413795,
-0.0652846172451973,
0.012781057506799698,
-0.009654861874878407,
-0.03718647360801697,
-0.011434182524681091,
-0.04240051284432411,
0.09754063934087753,
0.04298596829175949,
-0.03413108363747597,
-0.007114062551409006,
-0.015276576392352581,
0.016323445364832878,
0.02062273398041725,
0.041687365621328354,
-0.07216077297925949,
0.014344614930450916,
-0.04562929645180702,
-0.0074530732817947865,
-0.030911602079868317,
0.052447665482759476,
-0.0074754212982952595,
-0.039454806596040726,
0.06331788003444672,
-0.00278294226154685,
0.048151396214962006,
0.0384504571557045,
0.013785685412585735,
0.00882782507687807,
0.021456319838762283,
0.0016856269212439656,
-0.030610401183366776,
0.011541428044438362,
0.008011450059711933,
-0.02848176471889019,
-0.03178056702017784,
0.008842523209750652,
-0.03961639851331711,
-0.008007539436221123,
-0.010747055523097515,
0.03506185859441757,
0.047719161957502365,
0.039496179670095444,
0.0013608875451609492,
0.006797259673476219,
-0.0344880148768425,
0.01458823587745428,
-0.10009484738111496,
-0.03450367972254753,
-0.036813292652368546,
0.07674092799425125,
0.02903622016310692,
0.03764227032661438,
-0.024470727890729904,
0.009433918632566929,
-0.007225289475172758,
-0.030589358881115913,
-0.010340075008571148,
0.029134508222341537,
0.010908622294664383,
-0.030388137325644493,
-0.027007948607206345,
-0.0018895096145570278,
0.050065215677022934,
0.0022833789698779583,
-0.00615680031478405,
-0.01968708448112011,
-0.004085280932486057,
-0.03041648305952549,
-0.04516657069325447,
-0.006694343872368336,
0.02561257593333721,
0.00974068883806467,
0.04511605575680733,
-0.04326925426721573,
0.020191648975014687,
0.039150118827819824,
0.08397603780031204,
0.034759268164634705,
0.013074195943772793,
-0.030448807403445244,
-0.0029031592421233654,
0.007021189667284489,
0.03229445964097977,
0.01582801528275013,
0.0230017751455307,
0.012323373928666115,
0.018957216292619705,
-0.0073273214511573315,
0.006543499883264303,
-0.2702418565750122,
-0.0023427861742675304,
0.001319955918006599,
-0.026373332366347313,
0.034585267305374146,
-0.02649986743927002,
0.026612740010023117,
-0.001303815166465938,
-0.01570482738316059,
-0.014051714912056923,
0.005441388580948114,
0.058336883783340454,
0.0017497300868853927,
0.04799148440361023,
0.05820540711283684,
0.054890554398298264,
0.02180521748960018,
-0.009943779557943344,
0.025049172341823578,
0.047878142446279526,
0.018687499687075615,
-0.06886854022741318,
-0.015560483559966087,
0.020511971786618233,
-0.019935688003897667,
0.04182058572769165,
-0.10489051789045334,
-0.0003908986400347203,
-0.04587004333734512,
-0.02191011607646942,
0.001382540911436081,
-0.03286106139421463,
-0.006027692463248968,
0.015547697432339191,
0.02521510422229767,
-0.006012770812958479,
0.0746215432882309,
0.0295308455824852,
0.04325741156935692,
-0.017684686928987503,
0.011576970107853413,
-0.00611568009480834,
-0.013312426395714283,
0.03152308985590935,
0.09618677198886871,
0.018221328034996986,
-0.0855124294757843,
-0.043191954493522644,
-0.01722743920981884,
0.021555429324507713,
-0.03162229806184769,
-0.03315012902021408,
-0.03589610010385513,
0.02338823862373829,
0.003975636791437864,
-0.033078182488679886,
0.007814202457666397,
-0.010554374195635319,
-0.02039494924247265,
-0.013284316286444664,
-0.02322034351527691,
-0.054805904626846313,
-0.02414262481033802,
-0.0567469522356987,
0.014392144046723843,
-0.05395391583442688,
-0.054572172462940216,
-0.057708267122507095,
0.02815721556544304,
0.06636245548725128,
-0.0013870977563783526,
0.0025623494293540716,
0.0007400172180496156,
-0.09551818668842316,
0.01816515065729618,
-0.0047455416060984135,
0.03606271371245384,
-0.010149062611162663,
0.01242962758988142,
0.0663609653711319,
-0.028139084577560425,
-0.037898555397987366,
0.006829292979091406,
-0.014290531165897846,
0.0530698262155056,
-0.027602655813097954,
0.004787941463291645,
0.0031510137487202883,
-0.01850122958421707,
-0.022449607029557228,
0.019644511863589287,
0.006022316403687,
0.01267068088054657,
0.00886418204754591,
0.02871287614107132,
0.048119425773620605,
0.02666829340159893,
0.08766317367553711,
0.041549865156412125,
-0.00523737445473671,
-0.015135107561945915,
-0.0707215964794159,
-0.03182787820696831,
-0.06081750988960266,
-0.02617933601140976,
0.020965615287423134,
-0.053616538643836975,
-0.036242492496967316,
0.01736372709274292,
0.033364564180374146,
-0.025779549032449722,
-0.054955530911684036,
0.002366823609918356,
-0.04592540115118027,
-0.01646784506738186,
-0.0007515312754549086,
-0.006134355440735817,
0.015238364227116108,
0.016931837424635887,
0.003908543381839991,
-0.03419926017522812,
0.03462473303079605,
-0.018045712262392044,
0.008655129931867123,
0.02493276447057724,
-0.025523029267787933,
-0.016029823571443558,
0.0038745098281651735,
-0.012402367778122425,
-0.044863518327474594,
0.008716944605112076,
0.021905820816755295,
-0.0025587936397641897,
0.015241386368870735,
0.039187319576740265,
-0.021163903176784515,
0.0019874456338584423,
-0.00038665372994728386,
0.038308825343847275,
-0.012814261019229889,
0.009934339672327042,
-0.00832897424697876,
0.04333026707172394,
0.030036376789212227,
0.026337072253227234,
0.012536597438156605,
-0.0031742227729409933,
0.030929705128073692,
0.0013906630920246243,
0.022132042795419693,
-0.013880611397325993,
-0.029131034389138222,
-0.01844840683043003,
-0.04677864909172058,
-0.027023475617170334,
-0.022295821458101273,
0.026394525542855263,
-0.004967051092535257,
0.0030921809375286102,
-0.08883973956108093,
0.019781561568379402,
-0.01895822398364544,
-0.01912102662026882,
-0.030591027811169624,
0.012663518078625202,
0.04875993728637695,
0.007263626903295517,
0.004839334636926651,
0.019276568666100502,
0.031720444560050964,
0.020814796909689903,
0.009754754602909088,
-0.028373098000884056,
0.01659420318901539,
-0.06104518473148346,
0.012946476228535175,
0.01250891387462616,
-0.004481070209294558,
-0.00834251195192337,
0.015897097066044807,
-0.022974953055381775,
-0.03200988471508026,
-0.01732717826962471,
0.03593171387910843,
0.0809406116604805,
0.01747536100447178,
0.011385149322450161,
0.02170531079173088,
-0.009589523077011108,
0.0058226995170116425,
0.00029523653211072087,
-0.0010472261346876621,
0.010989894159138203,
-0.04980332404375076,
-0.021328140050172806,
-0.045038700103759766,
0.013354344293475151,
0.034754734486341476,
-0.0279972106218338,
-0.017825093120336533,
-0.023154625669121742,
0.0016857923474162817,
-0.05044829472899437,
0.00581027427688241,
0.035717450082302094,
-0.07034249603748322,
0.014275490306317806,
0.011444595642387867,
-0.04428808018565178,
0.03410390764474869,
-0.034367866814136505,
-0.052466921508312225,
-0.05310486629605293,
0.014995899982750416,
0.004778039641678333,
-0.02930658683180809,
0.03016291745007038,
-0.03143114224076271,
0.00025080397608689964,
-0.008815974928438663,
0.015862081199884415,
-0.008506177924573421,
-0.011180932633578777,
-0.00756099633872509,
-0.013400913216173649,
0.06698697060346603,
0.013252979144454002,
-0.024060068652033806,
-0.01035497896373272,
0.008474176749587059,
0.034640438854694366,
-0.029459131881594658,
0.04104757681488991,
0.04841867461800575,
-0.02098499797284603,
0.0003192503936588764,
-0.05364616587758064,
0.05789925530552864,
0.005464854650199413,
0.011732516810297966,
-0.0037948961835354567,
0.0032052923925220966,
-0.00882553681731224,
-0.02041945792734623,
0.014902153052389622,
-0.014872579835355282,
0.037555355578660965,
0.02250363864004612,
0.03932688385248184,
0.003633554559201002,
0.020553357899188995,
-0.0030729123391211033,
-0.027262041345238686,
-0.02060481533408165,
0.041587091982364655,
-0.044367849826812744,
-0.012312080711126328,
-0.07663599401712418,
-0.050336193293333054,
0.04227498173713684,
-0.007266249042004347,
0.005624137818813324,
-0.02009822241961956,
0.022411644458770752,
0.03306841850280762,
0.026226989924907684,
0.03533156216144562,
-0.05197307467460632,
0.07201720029115677,
-0.047580163925886154,
0.0040419199503958225,
-0.08590082824230194,
-0.005135056097060442,
0.02693522721529007,
-0.021312005817890167,
-0.043197523802518845,
0.021928461268544197,
-0.015583448112010956,
0.06341037899255753,
-0.0018340509850531816,
-0.0846453383564949,
0.027394194155931473,
-0.007045210804790258,
0.036905281245708466,
0.015753893181681633,
0.012798743322491646,
-0.011166531592607498,
0.0014166845940053463,
-0.03939799219369888,
-0.01409826148301363,
-0.009694323875010014,
0.07487310469150543,
-0.045137424021959305,
0.006296651903539896,
-0.018851768225431442,
-0.0038324494380503893,
0.030881768092513084,
0.040961842983961105,
0.016589011996984482,
0.054999470710754395,
-0.021120615303516388,
0.08409113436937332,
0.0008509993203915656,
-0.0078065660782158375,
0.01587185449898243,
-0.010034039616584778,
0.0002693423011805862,
-0.02952333725988865,
0.04115145653486252,
0.020542500540614128,
-0.03292882815003395,
-0.05763844773173332,
0.08124766498804092,
-0.005054729524999857,
0.005779737140983343,
-0.0293317548930645,
0.008126123808324337,
-0.06520997732877731,
0.014825504273176193,
0.004753975663334131,
-0.0156695656478405,
-0.0301749799400568,
0.05455884709954262,
0.02460196614265442,
0.03058309108018875,
0.07637739926576614,
0.032745424658060074,
-0.017653601244091988,
-0.007977521046996117,
0.05893948674201965,
0.07498675584793091,
0.04991181567311287,
-0.016144657507538795,
0.06648260354995728,
-0.03656706586480141,
-0.04636425897479057,
0.00740857794880867,
0.037567976862192154,
-0.019669152796268463,
-0.02334587275981903,
0.04158535227179527,
0.07517451047897339,
0.02561030350625515,
0.0793808177113533,
-0.04350952059030533,
0.0017170693026855588,
0.043972503393888474,
-0.02255832776427269,
0.0013571688905358315,
0.05144156143069267,
0.003841977333649993,
0.044967178255319595,
-0.053359255194664,
-0.02807401679456234,
-0.011953168548643589,
-0.00797111727297306,
0.007774595636874437,
0.018620189279317856,
-0.01835661195218563,
0.0011254443088546395,
0.004806008189916611,
0.06827809661626816,
0.1135224848985672,
-0.018740985542535782,
-0.06582766771316528,
0.0027434327639639378,
-0.0005665547796525061,
0.027303628623485565,
0.04162164404988289,
-0.03247756510972977,
-0.004264042712748051,
0.0191948339343071,
-0.046644315123558044,
-0.01236571092158556,
0.011444511823356152,
0.025074848905205727,
0.005244505126029253,
-0.04398834705352783,
-0.02299739234149456,
0.054478246718645096,
0.010315820574760437,
-0.029916394501924515,
-0.06266189366579056,
-0.01579282246530056,
-0.01845497265458107,
-0.1005619540810585,
-0.06670111417770386,
0.020262693986296654,
-0.011362580582499504,
-0.01994534395635128,
-0.03299146518111229,
-0.0006407156470231712,
0.03241050988435745,
-0.01914192922413349,
-0.05201808735728264,
-0.0037975399754941463,
0.014433224685490131,
0.016831140965223312,
-0.0033596667926758528,
0.018372219055891037,
0.013074586167931557,
-0.006453001871705055,
-0.011977238580584526,
0.03527306392788887,
0.0015518813161179423,
0.02956831268966198,
-0.009474532678723335,
-0.00953951757401228,
-0.10675570368766785,
-0.008197142742574215,
0.01414635218679905,
-0.005705985240638256,
-0.07017234712839127,
0.025269249454140663,
-0.032585833221673965,
0.044847272336483,
0.07302071154117584,
0.026089955121278763,
-0.0007934180903248489,
-0.026593809947371483,
-0.019161861389875412,
-0.002819816581904888,
0.0016460734186694026,
0.0550154373049736,
-0.03301873803138733,
0.0688977763056755,
0.034461610019207,
-0.034086477011442184,
-0.020502332597970963,
0.007466109469532967,
0.020097801461815834,
-0.027555301785469055,
-0.01680242083966732,
-0.0004219191905576736,
-0.03484685346484184,
-0.07044763118028641,
0.005086214281618595,
0.0014748586108908057,
0.012288178317248821,
-0.023289114236831665,
-0.03045014664530754,
-0.015394405461847782,
-0.016860773786902428,
-0.03266157582402229,
-0.0011321186320856214,
0.03201519325375557,
-0.030443545430898666,
-0.05404902249574661,
-0.06328108161687851,
0.030577976256608963,
-0.024516049772500992,
-0.0011223874753341079,
-0.02828897163271904,
-0.055727601051330566,
0.020070968195796013,
-0.03531990200281143,
0.05139150843024254,
0.03338080272078514,
0.016706077381968498,
-0.019663717597723007
] |
https://github.com/soda-inria/tabicl
|
517 |
SCISSOR: Mitigating Semantic Bias through Cluster-Aware Siamese Networks for Robust Classification
|
https://openreview.net/forum?id=Rgd7poMTDp
|
[
"Shuo Yang",
"Bardh Prenkaj",
"Gjergji Kasneci"
] |
Poster
|
Shortcut learning undermines model generalization to out-of-distribution data. While the literature attributes shortcuts to biases in superficial features, we show that imbalances in the semantic distribution of sample embeddings induce spurious semantic correlations, compromising model robustness. To address this issue, we propose SCISSOR (Semantic Cluster Intervention for Suppressing ShORtcut), a Siamese network-based debiasing approach that remaps the semantic space by discouraging latent clusters exploited as shortcuts. Unlike prior data-debiasing approaches, SCISSOR eliminates the need for data augmentation and rewriting.
We evaluate SCISSOR on 6 models across 4 benchmarks: Chest-XRay and Not-MNIST in computer vision, and GYAFC and Yelp in NLP tasks. Compared to several baselines, SCISSOR reports +5.3 absolute points in F1 score on GYAFC, +7.3 on Yelp, +7.7 on Chest-XRay, and +1 on Not-MNIST. SCISSOR is also highly advantageous for lightweight models with ∼9.5% improvement on F1 for ViT on computer vision datasets and ∼11.9% for BERT on NLP. Our study redefines the landscape of model generalization by addressing overlooked semantic biases, establishing SCISSOR as a foundational framework for mitigating shortcut learning and fostering more robust, bias-resistant AI systems.
|
Semantic Bias, Shortcut Learning, Siamese Networks, Model Generalization, Debiasing
|
SCISSOR is a Siamese network-based debiasing method that mitigates semantic cluster imbalances, improving model robustness and generalization without data augmentation or rewriting.
| 13,272 |
2506.14587
|
[
0.014876902103424072,
-0.038342028856277466,
-0.019845902919769287,
0.05401529371738434,
0.0005966540775261819,
0.01422556396573782,
0.025463366881012917,
0.012444770894944668,
-0.000251748162554577,
-0.02873893827199936,
-0.028312286362051964,
0.037330228835344315,
-0.06912938505411148,
-0.009932436048984528,
0.01009045634418726,
0.05172833800315857,
0.03943899646401405,
0.021355146542191505,
0.0062979888170957565,
0.02177981100976467,
0.02727309986948967,
-0.034754712134599686,
0.0482318289577961,
-0.004432364832609892,
0.053270161151885986,
0.016297413036227226,
0.06546085327863693,
-0.00019324567983858287,
-0.0056110261939466,
0.011546199209988117,
0.040962595492601395,
0.02002446912229061,
-0.004490645602345467,
-0.026242827996611595,
0.03241860866546631,
0.029267828911542892,
-0.050048939883708954,
0.030486784875392914,
0.0034046981018036604,
0.018345694988965988,
-0.04575060307979584,
0.020803669467568398,
-0.026581937447190285,
0.0033172094263136387,
-0.05656988546252251,
0.006938405800610781,
-0.13211752474308014,
0.03471148759126663,
0.00011656816059257835,
-0.016362959519028664,
-0.12020917236804962,
0.043529268354177475,
0.00983462668955326,
-0.025691412389278412,
-0.010644474066793919,
0.06860680878162384,
0.028375402092933655,
-0.08765383809804916,
-0.028020357713103294,
-0.03134513273835182,
-0.04858371242880821,
0.0167147908359766,
0.010750753805041313,
0.010333852842450142,
0.00904280785471201,
-0.008599648252129555,
0.0063787419348955154,
0.047243185341358185,
-0.03938007354736328,
-0.04517868906259537,
0.028769779950380325,
0.009894143790006638,
-0.043072935193777084,
0.022727547213435173,
0.013934167101979256,
-0.03828224912285805,
0.011855744756758213,
0.03096192330121994,
0.08690869063138962,
-0.023329736664891243,
0.0029693820979446173,
0.018995344638824463,
0.0004659240657929331,
0.07970984280109406,
0.024375496432185173,
-0.03871867433190346,
-0.03311919793486595,
-0.03567393124103546,
-0.08349929749965668,
0.0015108442166820168,
-0.01916872151196003,
-0.037379272282123566,
0.058086201548576355,
0.022926559671759605,
0.001747232978232205,
0.032089583575725555,
0.04220166057348251,
0.00137557543348521,
0.007547928020358086,
-0.016513247042894363,
-0.04143905267119408,
-0.05512447655200958,
0.004736235830932856,
0.01975882612168789,
-0.11791115999221802,
-0.015734126791357994,
-0.010861536487936974,
0.006686996202915907,
-0.008224948309361935,
-0.00022340450959745795,
-0.009105425328016281,
-0.0010086926631629467,
0.00025674424250610173,
-0.004793805535882711,
-0.06922905892133713,
0.023876158520579338,
0.002867108676582575,
0.005676412954926491,
-0.018377309665083885,
0.0032777178566902876,
0.04426244646310806,
0.05030043050646782,
-0.00011497205559862778,
0.08910208195447922,
-0.022281447425484657,
-0.01894461177289486,
0.017177289351820946,
0.03953513130545616,
0.001860323827713728,
-0.015697559341788292,
0.013941433280706406,
0.020990202203392982,
-0.003897403832525015,
0.002859309548512101,
-0.018819140270352364,
-0.000332118128426373,
0.048670198768377304,
0.015004824846982956,
0.05535714328289032,
-0.014306595548987389,
0.04831225425004959,
-0.03960610181093216,
0.0023442383389919996,
-0.01591559872031212,
0.07409270107746124,
-0.0297675933688879,
0.005888903513550758,
0.008861535228788853,
-0.021738572046160698,
-0.0053811222314834595,
0.0008500390104018152,
-0.006191209889948368,
0.020322125405073166,
-0.06249609962105751,
0.04952049255371094,
0.08482447266578674,
0.02051146887242794,
0.03783182427287102,
0.009594145230948925,
0.02310398407280445,
0.02123773843050003,
-0.03403197601437569,
-0.08258949220180511,
0.0032805439550429583,
0.007312921341508627,
-0.058700934052467346,
0.011290531605482101,
-0.002145664067938924,
-0.054995592683553696,
0.015136482194066048,
-0.009052676148712635,
-0.0385824479162693,
0.061853472143411636,
-0.04110112413764,
-0.027067994698882103,
0.016083110123872757,
0.048673518002033234,
0.021011313423514366,
0.05207226425409317,
0.029764261096715927,
-0.08754417300224304,
0.050408001989126205,
-0.015131647698581219,
-0.011559016071259975,
0.021080883219838142,
-0.017017288133502007,
0.06105611100792885,
0.0004594857746269554,
0.020761074498295784,
0.02341773919761181,
-0.08255209773778915,
-0.03418277949094772,
0.005807907320559025,
0.02273521199822426,
0.05221047252416611,
0.029402218759059906,
-0.0006475642439909279,
0.05338003858923912,
-0.0022583717945963144,
0.02403566986322403,
0.04900342971086502,
-0.0363578163087368,
0.020366763696074486,
-0.005208303220570087,
-0.06042516604065895,
-0.026348283514380455,
0.006069461349397898,
-0.04423775151371956,
-0.07732611149549484,
0.024712802842259407,
-0.044360287487506866,
0.005027874372899532,
-0.007608320564031601,
-0.00727228494361043,
0.027056602761149406,
0.011562767438590527,
-0.007115120068192482,
-0.021095268428325653,
0.004179543815553188,
-0.07642829418182373,
0.04953860118985176,
0.009553993120789528,
-0.032233309000730515,
0.01087645348161459,
-0.0064806509763002396,
0.09758368879556656,
0.07810688763856888,
-0.03833065181970596,
-0.012137933634221554,
0.01153550110757351,
0.014750390313565731,
-0.009171699173748493,
0.02145291306078434,
-0.011256464757025242,
-0.015696262940764427,
-0.015271547250449657,
0.009579461999237537,
-0.03942835330963135,
0.05838890001177788,
-0.037959106266498566,
-0.039574798196554184,
0.06064462661743164,
-0.01479292381554842,
0.04166513308882713,
0.015474016778171062,
0.018893137574195862,
0.03759831562638283,
-0.0054572937078773975,
-0.0008753379224799573,
-0.04699470475316048,
-0.00015460961731150746,
0.03110041841864586,
-0.0268374215811491,
-0.059079013764858246,
0.037482742220163345,
-0.03575551137328148,
0.024589145556092262,
-0.03111310303211212,
0.06941583007574081,
0.05583624169230461,
0.004787044133991003,
0.028644269332289696,
0.012302504852414131,
-0.0245243888348341,
-0.007273987866938114,
-0.10938640683889389,
-0.037020184099674225,
-0.011969229206442833,
0.04493926092982292,
-0.029596276581287384,
0.03227037936449051,
-0.01907947286963463,
0.02004535309970379,
-0.024223700165748596,
-0.0017443385440856218,
0.015362769365310669,
0.01452143955975771,
0.02363261952996254,
-0.012697159312665462,
0.018249688670039177,
-0.006977632641792297,
0.04581277072429657,
-0.03867701068520546,
0.009210441261529922,
-0.03885037824511528,
-0.03764186054468155,
0.018058715388178825,
-0.03130577877163887,
0.007343422621488571,
0.023899473249912262,
0.0180062148720026,
0.009220202453434467,
-0.0028878510929644108,
-0.022499673068523407,
0.023060956969857216,
0.04097585752606392,
0.040578391402959824,
0.008882288821041584,
-0.028928279876708984,
-0.006521537434309721,
-0.020357511937618256,
0.06863825023174286,
-0.010284674353897572,
0.039442989975214005,
0.009419819340109825,
-0.005307638086378574,
0.017605314031243324,
-0.023841893300414085,
-0.27284058928489685,
-0.0176926888525486,
-0.00235671061091125,
0.024614568799734116,
0.011042843572795391,
-0.04007381200790405,
0.025600967928767204,
-0.028305504471063614,
-0.01857251673936844,
-0.009242746978998184,
0.009629553183913231,
-0.017427291721105576,
0.01133792009204626,
0.027020271867513657,
0.036065295338630676,
0.034738343209028244,
0.008054797537624836,
-0.014331723563373089,
-0.000853074190672487,
0.031680360436439514,
-0.0015613308642059565,
-0.05067358911037445,
-0.026027143001556396,
0.06339468061923981,
-0.03143547847867012,
0.06301365792751312,
-0.051364630460739136,
-0.008479188196361065,
-0.02588171884417534,
-0.04271736368536949,
-0.000011246740541537292,
0.004399363417178392,
0.004065063316375017,
0.027834434062242508,
0.008208613842725754,
0.0004960334626957774,
0.0294549148529768,
0.011692534200847149,
0.0021172284614294767,
0.022530360147356987,
0.011506886221468449,
-0.006743081379681826,
0.0010652493219822645,
0.01970589905977249,
0.07302948832511902,
-0.012791335582733154,
-0.03744904324412346,
-0.009040381759405136,
-0.016735617071390152,
0.03366902843117714,
0.017829295247793198,
-0.03622043505311012,
-0.023895837366580963,
0.05988942086696625,
0.002827049931511283,
-0.0350433811545372,
0.020962174981832504,
0.026893943548202515,
-0.023901617154479027,
-0.03526235371828079,
-0.012619552202522755,
-0.030683394521474838,
-0.00617070822045207,
-0.02182728424668312,
-0.037308480590581894,
-0.030427327379584312,
-0.0743086189031601,
-0.07587278634309769,
0.02481067180633545,
0.058350227773189545,
-0.03499648720026016,
0.03892535716295242,
0.010942816734313965,
-0.09080085158348083,
0.038689181208610535,
0.01175659243017435,
-0.021983414888381958,
-0.01538616418838501,
0.013391084037721157,
0.029442312195897102,
-0.0244402177631855,
-0.03605513647198677,
0.02018296718597412,
0.019946975633502007,
0.004746491555124521,
-0.058652766048908234,
0.025072840973734856,
-0.027310596778988838,
-0.018137183040380478,
-0.0266970694065094,
0.046449098736047745,
0.020044339820742607,
-0.00883744191378355,
0.006568572483956814,
0.02201496623456478,
0.04227763041853905,
0.02444702386856079,
0.06772900372743607,
0.03874799981713295,
0.0018102260073646903,
0.03542482107877731,
-0.08490045368671417,
-0.02719750441610813,
-0.048987485468387604,
-0.048967145383358,
0.02088679000735283,
-0.03820754960179329,
-0.008429499343037605,
0.03165930137038231,
-0.057710159569978714,
-0.031333863735198975,
-0.009592968039214611,
0.01357959397137165,
0.020849669352173805,
-0.008773872628808022,
-0.024760190397500992,
-0.004459820222109556,
-0.01336944755166769,
0.01738779805600643,
-0.009024057537317276,
-0.0043606748804450035,
0.03344133868813515,
-0.029329217970371246,
0.0015779290115460753,
-0.01312991976737976,
-0.03868934512138367,
-0.020038707181811333,
0.023101085796952248,
0.009414357133209705,
0.020082928240299225,
0.021691011264920235,
0.031657278537750244,
-0.02860744297504425,
0.014764009043574333,
0.07588380575180054,
-0.002676943317055702,
0.007374655921012163,
-0.010060572065412998,
0.0438675656914711,
-0.0025724133010953665,
0.01911083050072193,
-0.025548050180077553,
0.02400241419672966,
0.05079777538776398,
0.052810318768024445,
0.010280901566147804,
-0.0005523544386960566,
0.017754938453435898,
-0.011494534090161324,
0.0009289066074416041,
-0.005905527621507645,
-0.010547375306487083,
-0.017433518543839455,
-0.024540521204471588,
0.010092893615365028,
0.004830305930227041,
0.015974977985024452,
-0.0025352153461426497,
-0.019625535234808922,
-0.05415280535817146,
0.014789808541536331,
0.03400173410773277,
-0.032088808715343475,
0.010483435355126858,
0.0121993413195014,
0.010498328134417534,
-0.004437629599124193,
-0.006054006051272154,
0.023231223225593567,
0.025970350950956345,
-0.01643451116979122,
-0.009348195046186447,
-0.032752979546785355,
-0.018547097221016884,
-0.017639221623539925,
0.006865164265036583,
-0.01948663592338562,
-0.016607727855443954,
-0.04122665524482727,
0.0619073249399662,
-0.004053992219269276,
-0.04402228444814682,
0.0131904948502779,
-0.005378757603466511,
0.08591299504041672,
0.0017093706410378218,
-0.03441058471798897,
-0.012150408700108528,
-0.010021680034697056,
0.06580130755901337,
-0.02143518254160881,
0.00015105740749277174,
-0.037838444113731384,
-0.02338685467839241,
-0.022988758981227875,
-0.050985924899578094,
-0.022548506036400795,
0.025700511410832405,
-0.0036056002136319876,
-0.01708276756107807,
-0.03414682298898697,
0.02759796380996704,
-0.018734483048319817,
0.013171539641916752,
0.008745750412344933,
-0.07890357822179794,
0.002433526562526822,
0.042704012244939804,
-0.034271758049726486,
0.0065931170247495174,
-0.06284371763467789,
-0.07189217954874039,
-0.030245425179600716,
-0.04268378019332886,
0.02850284054875374,
-0.024251671507954597,
0.008985626511275768,
-0.024782001972198486,
-0.009511359967291355,
-0.029009059071540833,
-0.019287869334220886,
-0.022267919033765793,
0.004664888139814138,
-0.0067699868232011795,
0.029717838391661644,
0.05139164254069328,
-0.046852923929691315,
0.0023091232869774103,
-0.005963193718343973,
-0.030021104961633682,
0.007338409312069416,
-0.03167077898979187,
0.04451058432459831,
0.03616154566407204,
0.004830408375710249,
0.019134026020765305,
-0.028326034545898438,
0.030978968366980553,
0.02577166073024273,
-0.034131549298763275,
-0.003805346554145217,
-0.015684824436903,
-0.015077151358127594,
0.037853579968214035,
-0.014128989540040493,
0.013281414285302162,
0.013074557296931744,
-0.01230120100080967,
-0.002708297222852707,
0.00980695616453886,
0.009114516898989677,
0.019863959401845932,
-0.03276956453919411,
0.009617982432246208,
0.057401083409786224,
-0.03471331298351288,
-0.013843627646565437,
-0.06747790426015854,
-0.03515493869781494,
0.023433467373251915,
0.012564711272716522,
0.04266221076250076,
-0.005366766359657049,
0.07861552387475967,
0.012849407270550728,
0.02515522763133049,
0.02435915172100067,
-0.01686926744878292,
0.02137194201350212,
-0.030539188534021378,
-0.0025718025863170624,
-0.07082720100879669,
-0.041572026908397675,
0.08077876269817352,
-0.03235824406147003,
-0.01387893594801426,
-0.027781885117292404,
-0.02424781396985054,
-0.02560756541788578,
-0.018191637471318245,
-0.05873550847172737,
-0.018153561279177666,
-0.023415077477693558,
0.0017359984340146184,
0.020905252546072006,
-0.042944036424160004,
0.003387371078133583,
-0.029899707064032555,
-0.027082959190011024,
-0.006567615084350109,
-0.0271941889077425,
0.059086594730615616,
-0.04898770526051521,
-0.0004702347796410322,
-0.03670363128185272,
-0.009905564598739147,
0.029036173596978188,
0.07529867440462112,
-0.013627525418996811,
0.024726558476686478,
-0.004045714158564806,
0.049163542687892914,
0.04207589477300644,
-0.006782762706279755,
-0.0016629565507173538,
0.028583506122231483,
-0.0020997507963329554,
-0.03966750204563141,
0.06552483141422272,
0.04181179031729698,
-0.016848264262080193,
-0.0680730789899826,
0.06857060641050339,
0.02537432126700878,
-0.05408763512969017,
-0.022086849436163902,
0.01860078237950802,
-0.03229295462369919,
0.023534052073955536,
-0.01889410987496376,
-0.031783509999513626,
-0.0017777860630303621,
0.06457140296697617,
-0.005647065583616495,
0.03713616728782654,
0.08170105516910553,
0.016752757132053375,
-0.0003173995646648109,
0.016469869762659073,
0.0945841372013092,
0.04927024245262146,
0.061113420873880386,
0.006540761794894934,
0.06915151327848434,
-0.02827824279665947,
-0.04170801863074303,
0.03511678799986839,
-0.016980702057480812,
-0.02087443135678768,
-0.04629484936594963,
-0.022617358714342117,
0.06979743391275406,
0.014207998290657997,
0.05224800109863281,
-0.06153595447540283,
-0.004017199855297804,
0.006446523126214743,
0.02350029908120632,
0.0078020039945840836,
0.027056477963924408,
0.04754946380853653,
0.003795226337388158,
-0.04829041659832001,
-0.0032106239814311266,
0.01167044136673212,
0.000008635331141704228,
0.0036231274716556072,
-0.02945517934858799,
-0.023929672315716743,
0.007007612381130457,
-0.0026445810217410326,
0.04461527243256569,
0.08796858042478561,
-0.012898153625428677,
-0.06001238524913788,
0.02243492193520069,
0.03160678967833519,
0.02356472797691822,
0.06087112799286842,
0.016251903027296066,
-0.019434664398431778,
-0.022537115961313248,
-0.03180680423974991,
0.005473233759403229,
0.03580021113157272,
-0.00512895081192255,
0.03737596794962883,
-0.034940801560878754,
-0.055801525712013245,
-0.006783387623727322,
0.029378997161984444,
-0.025290586054325104,
-0.0263721514493227,
-0.013945545069873333,
-0.03996458277106285,
-0.05453714728355408,
-0.050119299441576004,
0.014473541639745235,
0.010172300040721893,
-0.015192990191280842,
-0.015175075270235538,
-0.01276243757456541,
0.01998405158519745,
0.014232002198696136,
-0.07036254554986954,
0.048329535871744156,
-0.002344575710594654,
0.04422895610332489,
-0.03746313601732254,
0.04232789948582649,
-0.003989564720541239,
-0.027732858434319496,
-0.011880828067660332,
0.07163169980049133,
-0.0005685897776857018,
0.000438612507423386,
0.02338019758462906,
-0.020344596356153488,
-0.06765295565128326,
-0.012868024408817291,
-0.003337981877848506,
-0.017842808738350868,
-0.07348790764808655,
0.033699534833431244,
0.035380929708480835,
0.03773313760757446,
0.06048857048153877,
0.026044821366667747,
0.012759811244904995,
-0.03145957738161087,
0.006259431131184101,
-0.0026472746394574642,
0.019576607272028923,
0.02746962569653988,
-0.022469045594334602,
0.02982482500374317,
0.03689984604716301,
0.011634954251348972,
-0.010019565001130104,
-0.002926240675151348,
-0.013406185433268547,
-0.01763084903359413,
-0.000044890221033710986,
-0.053113263100385666,
-0.05724276974797249,
-0.10401397198438644,
-0.04680030047893524,
0.02339198999106884,
-0.036685485392808914,
-0.043344300240278244,
0.013617273420095444,
-0.03810238465666771,
-0.03502405807375908,
-0.012564219534397125,
0.013061881065368652,
-0.018786588683724403,
-0.021398372948169708,
-0.02333649806678295,
-0.06389855593442917,
0.009344024583697319,
-0.037784311920404434,
0.020357832312583923,
-0.06239207834005356,
-0.047858528792858124,
0.0011012598406523466,
0.02668628841638565,
0.04294762760400772,
-0.016598962247371674,
0.028092944994568825,
-0.010771609842777252
] |
https://github.com/shuoyangtum/scissor
|
518 |
Preference Controllable Reinforcement Learning with Advanced Multi-Objective Optimization
|
https://openreview.net/forum?id=49g4c8MWHy
|
[
"Yucheng Yang",
"Tianyi Zhou",
"Mykola Pechenizkiy",
"Meng Fang"
] |
Poster
|
Practical reinforcement learning (RL) usually requires agents to be optimized for multiple potentially conflicting criteria, e.g. speed vs. safety.
Although Multi-Objective RL (MORL) algorithms have been studied in previous works, their trained agents often cover limited Pareto optimal solutions and they lack precise controllability of the delicate trade-off among multiple objectives. Hence, the resulting agent is not versatile in aligning with customized requests from different users.
To bridge the gap, we develop the ``Preference controllable (PC) RL'' framework, which trains a preference-conditioned meta-policy that takes user preference as input controlling the generated trajectories within the preference region on the Pareto frontier. The PCRL framework is compatible with advanced Multi-Objective Optimization~(MOO) algorithms that are rarely seen in previous MORL approaches.
We also proposed a novel preference-regularized MOO algorithm specifically for PCRL. We provide a comprehensive theoretical analysis to justify its convergence and preference controllability.
We evaluate PCRL with different MOO algorithms against state-of-the-art MORL baselines in various challenging environments with up to six objectives. In these experiments, our proposed method exhibits significantly better controllability than existing approaches and can generate Pareto solutions with better diversity and utilities.
|
Multi-Objective Optimization, Multi-Objective Reinforcement Learning
|
Novel Multi-Objective Reinforcement Learning (MORL) method that discovers more Pareto optimal solutions than most previous MORL
| 13,270 | null |
[
-0.03989754244685173,
-0.024475807324051857,
0.012343163602054119,
0.02812906913459301,
0.03869045898318291,
0.027948902919888496,
0.012121113017201424,
0.0046741655096411705,
-0.04063081368803978,
-0.041539642959833145,
-0.024770541116595268,
0.036534640938043594,
-0.0755884125828743,
-0.0294547900557518,
0.0018152047414332628,
0.03449743986129761,
0.02426634542644024,
-0.02606387622654438,
-0.002146067563444376,
-0.019728530198335648,
-0.003992434125393629,
-0.023633068427443504,
0.03430558741092682,
0.015817614272236824,
0.04362119361758232,
0.027776632457971573,
0.04899115860462189,
0.041120778769254684,
-0.012711334973573685,
-0.01841842010617256,
0.02264067716896534,
-0.007709883153438568,
0.009175248444080353,
0.01082258578389883,
-0.009914695285260677,
0.0017057247459888458,
-0.02770538441836834,
-0.008822388015687466,
0.010341282933950424,
0.014277167618274689,
-0.02237628772854805,
0.030376048758625984,
-0.005292478948831558,
-0.0033319273497909307,
0.005002956371754408,
0.03284299001097679,
-0.06657835841178894,
0.01962520182132721,
0.019196921959519386,
-0.05191546306014061,
-0.07211039960384369,
0.03599828481674194,
0.024643437936902046,
-0.01746991276741028,
-0.020955977961421013,
0.03208976611495018,
0.043300092220306396,
-0.07617063820362091,
-0.01849745772778988,
-0.07469607144594193,
-0.030621035024523735,
0.03215831518173218,
0.006730291992425919,
0.02394479513168335,
-0.006423784885555506,
0.013540218584239483,
-0.0016674394719302654,
0.01365917082875967,
-0.03543504327535629,
-0.004132218658924103,
-0.05895078182220459,
-0.02519337646663189,
0.019611820578575134,
0.015720421448349953,
0.01403365470468998,
-0.054197270423173904,
0.03229096531867981,
0.02891380526125431,
0.0038885376416146755,
0.014492045156657696,
0.002676211530342698,
0.018857533112168312,
0.014599469490349293,
0.026616768911480904,
0.016319753602147102,
0.008488554507493973,
-0.013320479542016983,
-0.033615387976169586,
-0.06351236999034882,
0.03740974888205528,
-0.015193838626146317,
-0.054580383002758026,
0.002256298204883933,
0.024697063490748405,
0.03891206532716751,
-0.016438810154795647,
0.01338705699890852,
0.0170306209474802,
-0.006258104927837849,
-0.008774368092417717,
-0.008768945932388306,
0.004287391435354948,
0.012316410429775715,
-0.040135689079761505,
-0.09610679745674133,
-0.04667410999536514,
-0.006150895729660988,
0.00536429975181818,
-0.022765589877963066,
0.04484906047582626,
-0.06605423241853714,
0.008572041988372803,
0.049858637154102325,
-0.022789688780903816,
-0.10112455487251282,
0.030031517148017883,
0.005287872161716223,
0.06216394528746605,
0.012719902209937572,
0.04107341170310974,
0.020181328058242798,
0.035021234303712845,
-0.007180958986282349,
0.051063571125268936,
0.01576046459376812,
-0.005652394145727158,
0.02424924261868,
0.04815959185361862,
-0.01341171469539404,
-0.06665053963661194,
0.033908672630786896,
0.040107809007167816,
-0.034625012427568436,
-0.0036316963378340006,
-0.024582352489233017,
-0.006160045973956585,
0.028562119230628014,
-0.005278102587908506,
0.04064371436834335,
0.0004369906382635236,
-0.03482557460665703,
-0.03960689902305603,
0.09898189455270767,
-0.010244947858154774,
0.051057640463113785,
-0.004183425568044186,
0.027028899639844894,
-0.042905449867248535,
-0.04623497277498245,
-0.006673608440905809,
0.010221184231340885,
-0.011036094278097153,
0.004874905105680227,
-0.05373844876885414,
0.023503083735704422,
0.054381899535655975,
0.030178187415003777,
0.015593713149428368,
0.013961387798190117,
0.011242321692407131,
0.00041413394501432776,
-0.009683800861239433,
-0.013948110863566399,
-0.01750772073864937,
0.009692070074379444,
-0.05591847002506256,
0.052457183599472046,
0.0392613522708416,
0.003210906870663166,
-0.020826932042837143,
-0.03793957084417343,
-0.029042130336165428,
0.022339051589369774,
-0.005206950008869171,
-0.020924508571624756,
0.01464905682951212,
0.0648903101682663,
-0.007075474597513676,
0.03634904697537422,
0.0026001755613833666,
-0.06732427328824997,
0.037322916090488434,
-0.01991613581776619,
0.017644820734858513,
0.02720540203154087,
-0.0117731261998415,
0.05375375971198082,
-0.017686927691102028,
0.033212266862392426,
0.014622684568166733,
-0.05326974764466286,
-0.0205457154661417,
0.027882229536771774,
-0.025016430765390396,
0.05684501677751541,
-0.0002717337920330465,
-0.04033758491277695,
0.03957004100084305,
0.038275815546512604,
0.07267876714468002,
0.04090942069888115,
-0.030054360628128052,
0.020540568977594376,
-0.0014375254977494478,
-0.03658562898635864,
-0.019808262586593628,
0.0435582660138607,
-0.03927011415362358,
-0.02779415249824524,
0.02240992709994316,
-0.0483415350317955,
0.003316069720312953,
-0.01305452361702919,
-0.0016446912195533514,
0.04248065873980522,
-0.01108808908611536,
0.010108963586390018,
0.009108573198318481,
0.037513673305511475,
-0.05583396926522255,
0.019693683832883835,
-0.0033531358931213617,
-0.010733443312346935,
0.019101181998848915,
-0.029520967975258827,
0.09082649648189545,
0.051557350903749466,
-0.050644807517528534,
0.0035389848053455353,
0.03964390978217125,
-0.009488560259342194,
0.025589806959033012,
0.01280243881046772,
-0.025479884818196297,
0.03544383496046066,
-0.009763840585947037,
-0.009558805264532566,
-0.009120973758399487,
0.06127995252609253,
-0.01896326243877411,
-0.01088019646704197,
0.06041131913661957,
-0.004744396544992924,
0.08877548575401306,
-0.012452495284378529,
0.02156493254005909,
0.021901750937104225,
0.028726724907755852,
0.0033927455078810453,
-0.0021339773666113615,
-0.03566808998584747,
0.0004293756792321801,
0.027406642213463783,
-0.008870502933859825,
0.011354156769812107,
-0.06192996725440025,
0.0052692643366754055,
-0.021480122581124306,
0.05895647779107094,
0.0488632470369339,
0.009203470312058926,
0.04957083985209465,
-0.02631366066634655,
-0.014373785816133022,
0.006788437254726887,
-0.12508806586265564,
-0.05417913198471069,
0.026491407305002213,
0.0013081260258331895,
0.052156221121549606,
0.00796179287135601,
-0.03608549386262894,
0.022807061672210693,
-0.03113486059010029,
-0.0331992469727993,
-0.0011672783875837922,
0.040973614901304245,
0.020063873380422592,
0.0015354519709944725,
-0.030092189088463783,
0.017004678025841713,
0.0680641382932663,
-0.00037034577690064907,
-0.009476200677454472,
-0.0307046826928854,
-0.050268642604351044,
-0.001114679267629981,
-0.05031527951359749,
-0.009183239191770554,
0.022425927221775055,
-0.004247234668582678,
0.005213836207985878,
-0.01892819255590439,
0.041579004377126694,
0.026197537779808044,
0.026088932529091835,
0.05206148326396942,
0.04680981487035751,
-0.010895651765167713,
0.01121058315038681,
0.016702933236956596,
0.00462863827124238,
-0.007899747230112553,
0.010910149663686752,
0.016851678490638733,
-0.007521012797951698,
0.01701996847987175,
0.014597028493881226,
-0.24578605592250824,
-0.056422166526317596,
0.004610356874763966,
0.017143212258815765,
0.02015041373670101,
0.007000862155109644,
0.03659015893936157,
-0.044912125915288925,
-0.033443350344896317,
-0.002432524459436536,
0.025492528453469276,
0.007937245070934296,
0.03918905928730965,
0.061484456062316895,
0.053871460258960724,
0.03699927777051926,
-0.009449319913983345,
-0.03744085505604744,
-0.008253532461822033,
0.01873619854450226,
-0.036057911813259125,
-0.08700645714998245,
0.016078701242804527,
0.00012904059258289635,
0.012806182727217674,
0.05532483756542206,
-0.06118061766028404,
0.000019708386389538646,
-0.05211847275495529,
-0.00711029814556241,
-0.01055558118969202,
-0.0070041874423623085,
-0.025214483961462975,
0.011878778226673603,
0.07529269903898239,
-0.01482484582811594,
0.03791277855634689,
-0.017654715105891228,
0.038036368787288666,
0.007905911654233932,
-0.025216996669769287,
-0.009006067179143429,
-0.05973440781235695,
0.0418861024081707,
0.039442211389541626,
0.020701833069324493,
-0.02777240052819252,
-0.009660530835390091,
-0.017949361354112625,
0.03781748563051224,
0.03961797058582306,
-0.009940383024513721,
-0.015382969751954079,
0.031130226328969002,
0.012465003877878189,
0.0064546409994363785,
0.013005876913666725,
-0.02336694858968258,
0.008617554791271687,
0.033351995050907135,
-0.02332826517522335,
-0.03160253167152405,
-0.03779774159193039,
-0.025296607986092567,
0.002248065546154976,
-0.04135667160153389,
-0.04461564123630524,
-0.051238007843494415,
0.03924642130732536,
0.018208453431725502,
0.009501634165644646,
-0.04092925786972046,
-0.030818672850728035,
-0.10366854071617126,
0.011631500907242298,
-0.013322803191840649,
0.00804486870765686,
-0.022026311606168747,
-0.0020100660622119904,
0.041385576128959656,
-0.05561542510986328,
-0.03436991944909096,
0.00397938909009099,
0.01270910631865263,
0.0027589011006057262,
-0.028824051842093468,
0.0400361642241478,
-0.02775607258081436,
-0.019282007589936256,
-0.05093448609113693,
0.030003948137164116,
0.00862838514149189,
0.02697928249835968,
-0.03534464165568352,
0.06973685324192047,
0.011296780779957771,
0.03881346806883812,
0.023387715220451355,
0.042006779462099075,
0.006069597788155079,
-0.0099199078977108,
-0.10067795217037201,
-0.009433506056666374,
-0.016832873225212097,
-0.04466446861624718,
0.027989350259304047,
-0.06590203195810318,
-0.036270059645175934,
0.05074239894747734,
0.0037516846787184477,
-0.0005392225575633347,
-0.04774082824587822,
0.007889763452112675,
-0.004762070719152689,
-0.006484080106019974,
-0.01969871111214161,
-0.018395550549030304,
0.04502881318330765,
0.05839163437485695,
-0.011591601185500622,
-0.04826962202787399,
0.03944362327456474,
-0.017064567655324936,
0.008875307627022266,
-0.012844301760196686,
-0.007832501083612442,
0.0049035511910915375,
-0.00734264450147748,
0.010873792693018913,
-0.01834242418408394,
0.023518478497862816,
0.04046710580587387,
0.005738315638154745,
-0.0016765609616413713,
0.014120874926447868,
-0.024197930470108986,
-0.020679254084825516,
-0.024374619126319885,
0.033697206526994705,
-0.02325449138879776,
-0.013675074093043804,
-0.0165137629956007,
0.04852597415447235,
0.006087079644203186,
-0.004205129109323025,
0.0272908303886652,
0.019758183509111404,
0.01715012453496456,
0.01174230594187975,
0.02723178081214428,
0.021087516099214554,
-0.08708998560905457,
0.0012910482473671436,
-0.029808128252625465,
0.03206588327884674,
-0.04817075654864311,
0.03158538043498993,
-0.017323734238743782,
0.003074361477047205,
-0.06559305638074875,
0.01116451621055603,
-0.015612410381436348,
-0.024094225838780403,
-0.00053834926802665,
0.011535407975316048,
0.06287122517824173,
-0.031791992485523224,
-0.018193790689110756,
-0.01676596887409687,
0.005348945036530495,
0.009409568272531033,
-0.043908748775720596,
-0.028806647285819054,
-0.03093627654016018,
-0.06451642513275146,
-0.048902709037065506,
0.028869856148958206,
-0.03830583021044731,
-0.04901224747300148,
0.01992480456829071,
-0.024761540815234184,
-0.04507282003760338,
0.009463781490921974,
-0.005039036739617586,
0.07315826416015625,
-0.03025967814028263,
0.01915976032614708,
-0.01877296343445778,
-0.008756115101277828,
0.031640470027923584,
-0.021263277158141136,
0.03032713569700718,
-0.03274131938815117,
-0.03298506513237953,
-0.017321955412626266,
-0.022147631272673607,
0.020383428782224655,
0.006134220398962498,
-0.03447429835796356,
0.00010783244943013415,
-0.007505359128117561,
-0.004558901768177748,
-0.0507519394159317,
-0.04182317852973938,
0.044984523206949234,
-0.06288058310747147,
-0.005504067987203598,
0.030312197282910347,
0.0002628111687954515,
0.06467323750257492,
-0.07582076638936996,
-0.04149749502539635,
-0.030908212065696716,
-0.0025996752083301544,
-0.00607660599052906,
-0.02420901320874691,
-0.057577162981033325,
-0.029603449627757072,
-0.04801741987466812,
-0.004938353318721056,
-0.001129255280829966,
-0.012269687838852406,
-0.02487914450466633,
-0.039565663784742355,
-0.009036220610141754,
0.07610564678907394,
-0.03190688416361809,
-0.043243102729320526,
0.02414052188396454,
0.03974122926592827,
0.03488316386938095,
-0.04529580846428871,
0.0034243972040712833,
0.02424856647849083,
0.01703481189906597,
0.04624294489622116,
-0.04678783193230629,
0.04721783846616745,
-0.028478695079684258,
-0.019888900220394135,
-0.00129617378115654,
0.021406354382634163,
-0.04362406209111214,
-0.04470985382795334,
0.007576103322207928,
0.04237142950296402,
0.032145000994205475,
0.0031473571434617043,
-0.010506329126656055,
0.014783930033445358,
-0.00047433015424758196,
0.0023470004089176655,
-0.05343462526798248,
0.029669299721717834,
0.0892946869134903,
-0.019989781081676483,
-0.013861662708222866,
-0.013701897114515305,
-0.006205982994288206,
0.030775630846619606,
-0.0329727865755558,
0.04178342595696449,
-0.0322941429913044,
0.04128491133451462,
0.013782687485218048,
0.014344701543450356,
0.02204056642949581,
-0.04500624164938927,
0.022497663274407387,
-0.07410481572151184,
0.040988486260175705,
-0.07274394482374191,
0.034205611795186996,
0.07305389642715454,
-0.009742200374603271,
0.01287895068526268,
0.029298296198248863,
-0.023246681317687035,
0.05272630974650383,
-0.02404092438519001,
-0.083111971616745,
0.03380018100142479,
-0.03984175994992256,
-0.019767962396144867,
0.05498289316892624,
-0.05023535341024399,
-0.030183209106326103,
0.0059363991022109985,
-0.041706811636686325,
0.015482820570468903,
0.03473272919654846,
0.03573566675186157,
0.018063250929117203,
0.00829415861517191,
-0.032212208956480026,
0.016063760966062546,
0.042204588651657104,
0.025791749358177185,
0.004737456329166889,
0.02802262268960476,
-0.06262372434139252,
0.03916025534272194,
0.04900655895471573,
0.05694233626127243,
-0.012222684919834137,
0.017921969294548035,
-0.011282466351985931,
-0.01766642928123474,
0.043110255151987076,
0.01994052343070507,
-0.0012633462902158499,
-0.05918482691049576,
0.03672845661640167,
0.0076211621053516865,
-0.03640406206250191,
-0.013513962738215923,
0.037876229733228683,
-0.08287151157855988,
-0.004404905252158642,
0.013745573349297047,
0.009367854334414005,
0.018487395718693733,
0.0763384997844696,
0.031078629195690155,
0.05647419020533562,
0.09290018677711487,
0.009851647540926933,
-0.013856401666998863,
0.02536335401237011,
0.057076696306467056,
0.08525049686431885,
0.05537278577685356,
-0.013666232116520405,
0.06126097962260246,
-0.03710835427045822,
-0.062337178736925125,
0.02197483368217945,
0.010174455121159554,
-0.03245224058628082,
-0.008873851038515568,
-0.008943918161094189,
0.05746867135167122,
0.0010608553420752287,
0.0644984096288681,
-0.05705086141824722,
-0.01135545875877142,
0.06242769956588745,
-0.002386534819379449,
-0.009438305161893368,
0.048733100295066833,
0.02449171431362629,
0.04882802441716194,
-0.023715928196907043,
-0.013337686657905579,
-0.014830845408141613,
-0.0024684525560587645,
-0.011568620800971985,
-0.015955407172441483,
-0.013735438697040081,
0.021706849336624146,
0.03126319497823715,
0.029808446764945984,
0.10036106407642365,
-0.07413508743047714,
0.0036937498953193426,
0.006275630556046963,
-0.01478961855173111,
0.010005807504057884,
0.019069071859121323,
0.041397761553525925,
-0.005859434138983488,
0.03499218821525574,
-0.022997723892331123,
0.02283448539674282,
0.03549162298440933,
0.009107166901230812,
0.02309618517756462,
-0.029803695157170296,
0.01719486340880394,
0.007319972850382328,
0.007069670129567385,
-0.0422198548913002,
-0.029358545318245888,
-0.046271488070487976,
-0.06335984915494919,
-0.04597500339150429,
-0.06038738414645195,
0.013667314313352108,
0.01656264066696167,
-0.055263396352529526,
0.022760992869734764,
0.00210640043951571,
-0.005598326213657856,
-0.010626823641359806,
-0.057840339839458466,
-0.0013865672517567873,
0.03357413411140442,
-0.010278441943228245,
0.024506201967597008,
0.005817599594593048,
0.04062226414680481,
0.024085473269224167,
-0.033648014068603516,
-0.0009947686921805143,
0.02132432535290718,
0.0016283144941553473,
-0.04910087212920189,
-0.027561737224459648,
-0.07111791521310806,
-0.02476666495203972,
0.016871321946382523,
-0.039228010922670364,
-0.07632230222225189,
0.021355222910642624,
-0.022462282329797745,
0.016913816332817078,
0.08840648084878922,
-0.0008357816841453314,
-0.014018374495208263,
-0.030416034162044525,
-0.006155860610306263,
-0.01677381992340088,
-0.02078968845307827,
0.04002483934164047,
-0.03546958416700363,
0.03778988495469093,
0.02901882492005825,
-0.07447335124015808,
-0.08080735057592392,
0.07659882307052612,
0.007201827131211758,
-0.02729020267724991,
-0.027310021221637726,
-0.02788812667131424,
-0.02108064666390419,
-0.09878358989953995,
-0.009335148148238659,
0.05804022029042244,
-0.006757463328540325,
-0.03133729472756386,
-0.019830359145998955,
-0.002551325364038348,
-0.008938467130064964,
0.022050054743885994,
-0.040471918880939484,
-0.010465860366821289,
-0.002404172206297517,
-0.011053154245018959,
-0.06916049122810364,
0.018004797399044037,
-0.04131653532385826,
0.013198284432291985,
-0.05232260003685951,
-0.03984079137444496,
0.0067854151129722595,
-0.007246619090437889,
0.037120621651411057,
0.02410140074789524,
0.0288349948823452,
0.007796944584697485
] | null |
519 |
Zero-Shot Generalization of GNNs over Distinct Attribute Domains
|
https://openreview.net/forum?id=R9iBZen9aY
|
[
"Yangyi Shen",
"Jincheng Zhou",
"Beatrice Bevilacqua",
"Joshua Robinson",
"Charilaos Kanatsoulis",
"Jure Leskovec",
"Bruno Ribeiro"
] |
Poster
|
Traditional Graph Neural Networks (GNNs) cannot generalize to new graphs with node attributes different from the training ones, making zero-shot generalization across different node attribute domains an open challenge in graph machine learning.
In this paper, we propose STAGE, which encodes *statistical dependencies* between attributes rather than individual attribute values, which may differ in test graphs. By assuming these dependencies remain invariant under changes in node attributes, STAGE achieves provable generalization guarantees for a family of domain shifts. Empirically, STAGE demonstrates strong zero-shot performance on medium-sized datasets: when trained on multiple graph datasets with different attribute spaces (varying in types and number) and evaluated on graphs with entirely new attributes, STAGE achieves a relative improvement in Hits@1 between 40% to 103% in link prediction and a 10% improvement in node classification compared to state-of-the-art baselines.
|
GNN, zero-shot, graph foundation models
|
We propose a novel method that can zero-shot generalize to test attributed graphs with different node features than those seen in train.
| 13,266 | null |
[
-0.004255138337612152,
-0.03689473494887352,
0.025185560807585716,
0.0556054525077343,
0.03531505540013313,
0.022623004391789436,
0.043001700192689896,
0.013089969754219055,
-0.0026930118910968304,
-0.00718206912279129,
-0.005225951783359051,
-0.0026320472825318575,
-0.08554401993751526,
0.021792354062199593,
0.020851293578743935,
0.05669098347425461,
0.0392485186457634,
0.013462236151099205,
0.000055453790992032737,
-0.018481433391571045,
0.01067559514194727,
-0.022630954161286354,
0.013475330546498299,
0.04047013819217682,
0.041228752583265305,
0.012378479354083538,
0.06903916597366333,
0.006469885352998972,
-0.008059301413595676,
0.02026975154876709,
0.00532869016751647,
-0.0022704238072037697,
0.034559182822704315,
-0.030223891139030457,
0.016585413366556168,
-0.019151074811816216,
-0.04788544401526451,
0.020037712529301643,
0.023579729720950127,
-0.025169460102915764,
-0.06545530259609222,
-0.023079778999090195,
-0.019870156422257423,
0.03188841789960861,
-0.02123132161796093,
0.030514724552631378,
-0.1007983610033989,
0.010575544089078903,
0.02823561616241932,
-0.04344017431139946,
-0.13931749761104584,
0.03736138716340065,
0.0066790771670639515,
-0.0191033985465765,
-0.02743707224726677,
0.026423728093504906,
0.043782759457826614,
-0.04182048141956329,
-0.017504597082734108,
-0.03888275474309921,
-0.03457239642739296,
0.01838311366736889,
0.027130523696541786,
0.021712729707360268,
0.018973711878061295,
-0.012585530057549477,
0.00892852246761322,
0.07965777814388275,
-0.04899129644036293,
-0.03158292919397354,
-0.012521415017545223,
0.002530071884393692,
-0.0021172750275582075,
0.03621513769030571,
0.02170885168015957,
-0.030784757807850838,
0.023420730605721474,
-0.0334162600338459,
0.08652777969837189,
-0.004861888475716114,
0.012023030780255795,
0.04233154281973839,
0.0006399325211532414,
0.04928550124168396,
0.013514252379536629,
0.016612162813544273,
-0.013073495589196682,
-0.03859211876988411,
-0.10925553739070892,
0.020808277651667595,
-0.04597170278429985,
-0.055290497839450836,
0.019787000492215157,
0.03912460058927536,
0.03219478204846382,
-0.032003771513700485,
0.02671845816075802,
-0.033424314111471176,
0.01838616468012333,
-0.013226823881268501,
-0.005620837211608887,
-0.03656346723437309,
0.011535800993442535,
-0.004820666275918484,
-0.10633046180009842,
-0.007517053745687008,
-0.00998519267886877,
0.002854046644642949,
-0.005719115491956472,
0.016166483983397484,
-0.04583354666829109,
-0.01566055230796337,
0.0023059213999658823,
-0.004006846342235804,
-0.06312242895364761,
0.00723528116941452,
-0.016750678420066833,
-0.034876421093940735,
-0.010223621502518654,
-0.00921423826366663,
0.0534362755715847,
-0.0030493137892335653,
-0.006524118594825268,
0.07678434252738953,
-0.010392650961875916,
0.024441039189696312,
0.007891802117228508,
0.027674272656440735,
-0.0427970364689827,
-0.01723334565758705,
-0.006283996626734734,
0.04308619722723961,
-0.0017182587180286646,
0.0000044481566874310374,
-0.003198350314050913,
-0.0287166777998209,
0.018773306161165237,
0.011617487296462059,
0.032669857144355774,
-0.01765861175954342,
0.00739473570138216,
-0.022510312497615814,
0.04382868483662605,
-0.042103637009859085,
0.10860291868448257,
-0.059901222586631775,
-0.014946346171200275,
-0.040396105498075485,
-0.03069731965661049,
-0.004355042241513729,
0.014815258793532848,
0.008329329080879688,
-0.016009563580155373,
-0.06631322205066681,
0.031290628015995026,
0.05719669535756111,
0.03320934996008873,
0.02462179586291313,
-0.02248694933950901,
0.015497621148824692,
0.06418100744485855,
-0.029467472806572914,
-0.032242365181446075,
0.015238441526889801,
0.007084608543664217,
-0.057715870440006256,
0.03890052065253258,
0.00438561849296093,
-0.031325411051511765,
-0.028696209192276,
-0.04665335267782211,
-0.04177983105182648,
0.050275955349206924,
-0.00002110899549734313,
-0.03866136446595192,
0.031201396137475967,
0.04913365840911865,
0.0015193878207355738,
0.03536239638924599,
0.02475600130856037,
-0.08708060532808304,
0.0057592433877289295,
0.03256716579198837,
-0.02793613076210022,
-0.008121097460389137,
-0.02212885394692421,
0.04050261154770851,
-0.010646682232618332,
0.024079155176877975,
0.05900302529335022,
-0.060273196548223495,
0.00722073670476675,
0.026825284585356712,
-0.017999207600951195,
0.06123286858201027,
0.026979446411132812,
0.005075227934867144,
0.042196448892354965,
0.022158801555633545,
0.032426223158836365,
0.04175294563174248,
-0.027292679995298386,
0.04214464873075485,
-0.00024734719772823155,
-0.029226329177618027,
0.017978321760892868,
0.005037054885178804,
-0.051722485572099686,
-0.036447715014219284,
0.012104745954275131,
-0.0005187668721191585,
0.01095112506300211,
0.005032103508710861,
-0.012804440222680569,
-0.010133870877325535,
0.028371168300509453,
0.009308669716119766,
0.01066853478550911,
0.038132503628730774,
-0.038494374603033066,
0.03745907172560692,
0.01793588697910309,
-0.016759401187300682,
-0.02873372845351696,
-0.03646402060985565,
0.10539467632770538,
0.03869517892599106,
-0.0318877175450325,
-0.006187377497553825,
0.015238954685628414,
0.042822856456041336,
0.03288472071290016,
0.05717562139034271,
-0.009700844064354897,
-0.006323365960270166,
-0.009619073942303658,
0.015840623527765274,
-0.022674163803458214,
0.04537876695394516,
-0.06404099613428116,
0.019293559715151787,
0.052534326910972595,
-0.0326790027320385,
0.030886586755514145,
-0.00016960586071945727,
0.011199487373232841,
0.05182927846908569,
-0.02084670215845108,
-0.01045962329953909,
-0.04391951486468315,
-0.012112220749258995,
-0.0025163087993860245,
-0.0008117607212625444,
-0.013163186609745026,
-0.012508546933531761,
-0.041462190449237823,
-0.018488744273781776,
-0.002983567537739873,
0.04312124475836754,
0.032796647399663925,
0.007824009284377098,
-0.020364895462989807,
-0.025977633893489838,
-0.01999514549970627,
-0.019378313794732094,
-0.08461982756853104,
-0.06961555033922195,
-0.036643799394369125,
0.042595911771059036,
-0.03407500684261322,
0.05899832770228386,
0.0006899040890857577,
0.02188456989824772,
-0.024243555963039398,
-0.026336446404457092,
0.017884578555822372,
0.04106878861784935,
0.01668308675289154,
-0.013725396245718002,
-0.022862745448946953,
-0.010376991704106331,
0.057144034653902054,
-0.051861684769392014,
-0.0196500513702631,
-0.058921605348587036,
-0.03684595972299576,
-0.028822721913456917,
-0.0488760843873024,
-0.030864330008625984,
-0.001603871351107955,
0.03411583974957466,
0.034807201474905014,
-0.00238172453828156,
-0.008923305198550224,
0.04261716455221176,
0.03651021048426628,
0.053170111030340195,
0.00865554716438055,
-0.04076087847352028,
0.025969360023736954,
-0.017316173762083054,
0.03639667481184006,
0.014021509326994419,
0.027337631210684776,
-0.027182767167687416,
0.00012688615242950618,
0.01073280069977045,
-0.026090005412697792,
-0.269664466381073,
-0.01694190315902233,
-0.009275912307202816,
-0.009439906105399132,
0.025231806561350822,
-0.059263572096824646,
0.030470412224531174,
-0.0023348506074398756,
-0.03779679909348488,
-0.0006013089441694319,
0.014505496248602867,
0.008619935251772404,
0.004933420568704605,
0.04080412536859512,
0.05316244438290596,
0.015581483952701092,
-0.008903433568775654,
-0.024542927742004395,
0.02816205658018589,
0.03347714990377426,
-0.01758827082812786,
-0.04259030893445015,
-0.03633113205432892,
0.020460769534111023,
-0.021428069099783897,
0.01545796450227499,
-0.07304103672504425,
-0.036537107080221176,
-0.005672909785062075,
-0.014773172326385975,
0.008158897049725056,
-0.046565406024456024,
-0.016566861420869827,
0.05608728528022766,
0.031972527503967285,
0.011726955883204937,
0.05425086244940758,
-0.009851966984570026,
0.028353888541460037,
0.0010719066485762596,
-0.010322281159460545,
-0.0304779801517725,
-0.03067176416516304,
0.057687610387802124,
0.07313785701990128,
-0.008482040837407112,
-0.048506639897823334,
-0.011077528819441795,
-0.005935644265264273,
0.018685556948184967,
0.004171549342572689,
0.0011020967504009604,
-0.021122435107827187,
0.014891616068780422,
0.002638755366206169,
-0.024642622098326683,
0.010729082860052586,
-0.012439513579010963,
0.0034128918778151274,
-0.048912908881902695,
0.002994266804307699,
-0.036801453679800034,
0.003049239981919527,
-0.02836534194648266,
0.005147317424416542,
-0.01679825596511364,
-0.061467599123716354,
-0.07732662558555603,
-0.009166925214231014,
0.037986528128385544,
-0.027026599273085594,
0.027637720108032227,
-0.005830258596688509,
-0.09099166840314865,
0.028918514028191566,
-0.024492178112268448,
0.016673073172569275,
0.028753478080034256,
0.008488590829074383,
0.041791535913944244,
0.0007403361378237605,
-0.04172786697745323,
-0.0234681349247694,
-0.0006180386408232152,
0.05130808427929878,
0.0010031966958194971,
0.04155716672539711,
-0.012741264887154102,
-0.01667541079223156,
-0.02317024953663349,
0.027546165511012077,
0.014224531129002571,
0.03824548423290253,
0.0036312344018369913,
0.03272361308336258,
0.024429205805063248,
0.03395264595746994,
0.053941164165735245,
0.04078824073076248,
-0.030433548614382744,
0.0551609992980957,
-0.046595096588134766,
-0.017046844586730003,
-0.019962692633271217,
-0.03684379160404205,
0.015708642080426216,
-0.04205780848860741,
0.005016586277633905,
0.048568107187747955,
-0.011487743817269802,
-0.0211738683283329,
-0.0459245964884758,
-0.006345118395984173,
-0.012031382881104946,
-0.0255183894187212,
-0.013423658907413483,
-0.020709984004497528,
0.046575095504522324,
0.0340484119951725,
-0.023436181247234344,
-0.005610388237982988,
0.04717317223548889,
0.0013531451113522053,
0.011267987079918385,
-0.011803903616964817,
-0.040252335369586945,
-0.010311738587915897,
-0.05581435561180115,
0.025994988158345222,
-0.00038287119241431355,
0.044179584830999374,
0.06500859558582306,
-0.01086925994604826,
-0.005362106487154961,
0.04264364391565323,
-0.009676800109446049,
0.000543265079613775,
-0.019960543140769005,
0.03568381071090698,
-0.02990952879190445,
0.01566191576421261,
0.02179967239499092,
0.04741668328642845,
0.02948169969022274,
0.04761321842670441,
0.022430164739489555,
0.012879974208772182,
-0.0051093939691782,
-0.004327137488871813,
-0.019105279818177223,
0.038847699761390686,
-0.017644383013248444,
-0.01282557938247919,
-0.013577569276094437,
0.015677575021982193,
-0.011885249055922031,
0.04790420085191727,
0.0004363699408713728,
0.017770780250430107,
-0.0466599240899086,
0.05160348117351532,
0.0016430852701887488,
0.012393239885568619,
-0.00041908823186531663,
0.018055835738778114,
0.03963096812367439,
0.01832425594329834,
-0.0013926936080679297,
0.0021089918445795774,
-0.0127338245511055,
-0.0006731520988978446,
0.00464448519051075,
-0.025463232770562172,
-0.01739628054201603,
-0.009612686932086945,
-0.006834964733570814,
-0.019491078332066536,
0.0035649805795401335,
-0.02224751003086567,
0.06099030002951622,
-0.018526386469602585,
-0.021856721490621567,
-0.015375368297100067,
0.020408352836966515,
0.06658356636762619,
0.04599864408373833,
-0.02542266808450222,
0.006086120381951332,
-0.03906182944774628,
0.046399325132369995,
-0.011793275363743305,
-0.033962979912757874,
-0.04074770212173462,
-0.034689657390117645,
-0.014301322400569916,
-0.050428058952093124,
-0.0030936491675674915,
0.014554442837834358,
-0.009939311072230339,
-0.019391270354390144,
-0.02703557349741459,
0.023648666217923164,
-0.05951814353466034,
0.0018354963976889849,
0.05082184448838234,
-0.07740319520235062,
-0.0037119542248547077,
0.015356715768575668,
-0.00306818843819201,
0.00838916003704071,
-0.009324797429144382,
-0.07620999217033386,
-0.06474151462316513,
-0.041327446699142456,
0.0626668706536293,
-0.02128245122730732,
-0.01861153542995453,
-0.019622428342700005,
-0.026631992310285568,
-0.01712210290133953,
0.031713176518678665,
0.014767405577003956,
-0.003928929567337036,
-0.01862596534192562,
0.02010049857199192,
0.06232922151684761,
0.015260065905749798,
0.003604837693274021,
-0.013857100158929825,
-0.021077724173665047,
0.016861744225025177,
-0.010156586766242981,
0.014106097631156445,
0.034997597336769104,
-0.007498016580939293,
0.021062985062599182,
-0.08672371506690979,
0.04146214947104454,
0.017245184630155563,
-0.024413742125034332,
0.009489847347140312,
-0.002934063086286187,
-0.034342002123594284,
0.04042595624923706,
0.034539055079221725,
-0.013062761165201664,
0.018420500680804253,
-0.004346456378698349,
-0.0015334280906245112,
-0.00493263266980648,
0.026559142395853996,
0.005284756887704134,
-0.07536269724369049,
-0.024171778932213783,
0.057645250111818314,
-0.06745497137308121,
-0.015495624393224716,
-0.05848107114434242,
-0.03974208980798721,
0.04153559356927872,
-0.018118740990757942,
0.03141799941658974,
-0.012947581708431244,
0.052946023643016815,
0.032381460070610046,
0.06596221774816513,
-0.020463086664676666,
-0.03698386624455452,
0.014469502493739128,
-0.03488599881529808,
-0.022969476878643036,
-0.04421526938676834,
-0.010762791149318218,
0.03959513083100319,
-0.03929654136300087,
-0.017113905400037766,
-0.049027856439352036,
-0.037426743656396866,
0.052497927099466324,
-0.022862788289785385,
-0.054992739111185074,
0.007942191325128078,
-0.024505481123924255,
0.013366693630814552,
0.028298495337367058,
-0.03456270694732666,
-0.011388168670237064,
0.002495577558875084,
-0.05469156429171562,
0.004785037599503994,
0.0228416807949543,
0.030292199924588203,
-0.024230701848864555,
0.008413700386881828,
0.010867701843380928,
-0.015721455216407776,
0.08265267312526703,
0.0632546991109848,
0.039404258131980896,
0.060746997594833374,
-0.019402334466576576,
0.05739346146583557,
0.03157658502459526,
-0.014621132053434849,
-0.009154949337244034,
0.02120843157172203,
-0.03484918177127838,
-0.060231342911720276,
0.05338361859321594,
0.00886837299913168,
-0.02136204019188881,
-0.06388895958662033,
0.05176365375518799,
0.022855453193187714,
-0.06350725144147873,
-0.030404916033148766,
0.011785421520471573,
-0.03116866573691368,
-0.0027968797367066145,
-0.021778935566544533,
0.018270188942551613,
-0.006228487007319927,
0.06420068442821503,
0.025632251054048538,
0.060718659311532974,
0.058582376688718796,
0.014072362333536148,
-0.004307249095290899,
-0.04569840058684349,
0.0719389021396637,
0.05425623431801796,
0.02769945003092289,
0.010124662891030312,
0.06218697130680084,
-0.0015226099640130997,
-0.041148263961076736,
0.007845883257687092,
0.014824451878666878,
-0.003748554503545165,
-0.02808411419391632,
-0.004814297892153263,
0.055372659116983414,
-0.005341360345482826,
0.0766112431883812,
-0.039425984025001526,
-0.008576128631830215,
0.02421594224870205,
0.008433870039880276,
-0.016490114852786064,
0.06149439886212349,
0.024001477286219597,
0.043380849063396454,
-0.03138986974954605,
-0.011282042600214481,
-0.050988633185625076,
-0.03841274604201317,
0.028505655005574226,
0.0320584774017334,
-0.019569607451558113,
0.011197376064956188,
0.020314088091254234,
0.006206143647432327,
0.11176294833421707,
-0.06171774864196777,
-0.052824966609478,
-0.002016632352024317,
0.012165581807494164,
0.02306525595486164,
0.02798248641192913,
-0.020290441811084747,
-0.02685926854610443,
0.0025917941238731146,
-0.04418780654668808,
0.02480638585984707,
0.005633489694446325,
0.008898159489035606,
0.009353243745863438,
-0.0158816147595644,
-0.029363088309764862,
0.0035049915313720703,
0.02394484169781208,
0.007241624873131514,
-0.054650720208883286,
-0.023190505802631378,
-0.05838236212730408,
-0.07258682698011398,
-0.049188241362571716,
0.03604533150792122,
0.005953893531113863,
-0.009298094548285007,
-0.013775053434073925,
-0.03557969629764557,
0.02970699407160282,
0.030534662306308746,
-0.05760454013943672,
0.025339893996715546,
0.0174143984913826,
0.029245076701045036,
-0.0026448515709489584,
0.04912532493472099,
0.007014985661953688,
-0.0026963280979543924,
0.00373776420019567,
0.03911501169204712,
0.03766481578350067,
0.010329294949769974,
-0.012978987768292427,
0.011491799727082253,
-0.08051849156618118,
0.02572217769920826,
-0.00905449129641056,
-0.06272948533296585,
-0.0740625187754631,
0.05150698870420456,
-0.010858914814889431,
0.038931846618652344,
0.059962302446365356,
0.02400822378695011,
-0.009941904805600643,
-0.05438561365008354,
0.01823740266263485,
-0.028651494532823563,
-0.012822105549275875,
0.06625482439994812,
-0.03280901908874512,
0.06883279234170914,
0.043580032885074615,
-0.021812433376908302,
0.010586051270365715,
0.011148190125823021,
0.004475943744182587,
-0.019880514591932297,
-0.005125668365508318,
-0.03528518229722977,
-0.01969238743185997,
-0.1293899267911911,
-0.03972852975130081,
0.011700884439051151,
0.02168707363307476,
-0.00462232856079936,
-0.03041720576584339,
-0.04719426482915878,
0.010297604836523533,
-0.013961773365736008,
-0.017287883907556534,
0.0041308109648525715,
-0.02856667898595333,
-0.03457751125097275,
-0.08072158694267273,
0.022989103570580482,
-0.02616690844297409,
0.0018474997486919165,
-0.031560033559799194,
-0.0395306833088398,
-0.019152209162712097,
-0.03014880046248436,
0.03821205347776413,
-0.03373328968882561,
0.01794399321079254,
-0.0023775575682520866
] |
https://github.com/snap-stanford/stage-gnn
|
520 |
Synthetic Text Generation for Training Large Language Models via Gradient Matching
|
https://openreview.net/forum?id=mHySkOp46b
|
[
"Dang Nguyen",
"Zeman Li",
"Mohammadhossein Bateni",
"Vahab Mirrokni",
"Meisam Razaviyayn",
"Baharan Mirzasoleiman"
] |
Poster
|
Synthetic data has the potential to improve the performance, training efficiency, and privacy of real training examples. Nevertheless, existing approaches for synthetic text generation are mostly heuristics and cannot generate human-readable text without compromising the privacy of real data, or provide performance guarantees for training Large Language Models (LLMs). In this work, we propose the first theoretically rigorous approach for generating synthetic human-readable text that provides convergence, performance, and privacy guarantees for fine-tuning LLMs on a target task. To do so, we leverage Alternating Direction Method of Multipliers (ADMM) that iteratively optimizes the embeddings of synthetic examples to match the noisy gradient of the target training or validation data, and maps them to a sequence of text tokens with low perplexity. In doing so, the generated synthetic text guarantees convergence of the model to a close neighborhood of the solution obtained by fine-tuning on real data and preserves their privacy. Experiments on various classification tasks confirm the effectiveness of our proposed approach. Our code is available at [https://github.com/BigML-CS-UCLA/GRADMM](https://github.com/BigML-CS-UCLA/GRADMM).
|
Synthetic data, Large language models, Gradient matching, ADMM
|
We propose a new synthetic data generation approach with a theoretical guarantee using gradient matching.
| 13,263 |
2502.17607
|
[
-0.007301251403987408,
-0.02374182641506195,
-0.017581339925527573,
0.057245150208473206,
0.05972624197602272,
0.023733720183372498,
0.03145308047533035,
0.03003472089767456,
-0.021458324044942856,
-0.004042884334921837,
-0.0300956629216671,
0.019015466794371605,
-0.07627908140420914,
-0.005137438420206308,
-0.02887614816427231,
0.04342940077185631,
0.022240344434976578,
-0.019841156899929047,
0.02705014869570732,
0.030350327491760254,
-0.02594095654785633,
-0.018247295171022415,
0.032473206520080566,
0.011807141825556755,
0.0329279787838459,
0.024684952571988106,
0.010350894182920456,
0.010303150862455368,
-0.04221849888563156,
0.010831520892679691,
0.03196471929550171,
-0.005992330145090818,
0.01885359175503254,
0.004123165272176266,
0.0169519055634737,
-0.01158771850168705,
-0.05692686140537262,
-0.008349831216037273,
0.01610899344086647,
0.022120121866464615,
-0.030601777136325836,
0.029863251373171806,
-0.021595070138573647,
0.01725531369447708,
-0.06238415837287903,
-0.019892187789082527,
-0.10585153102874756,
0.016813352704048157,
-0.003718071384355426,
-0.0334695540368557,
-0.10995583236217499,
0.03014933317899704,
-0.020616482943296432,
-0.01726793684065342,
0.02925575152039528,
0.044143326580524445,
0.052757736295461655,
-0.08823706954717636,
0.006301409564912319,
-0.03080173395574093,
-0.03740765526890755,
0.024015333503484726,
0.011813987046480179,
0.01628885418176651,
0.0016022007912397385,
-0.023718571290373802,
-0.013018891215324402,
0.011462884023785591,
-0.0692385658621788,
-0.05481370538473129,
-0.008616956882178783,
0.038560036569833755,
-0.016376091167330742,
-0.027839092537760735,
-0.011598790995776653,
-0.06416699290275574,
0.01258481852710247,
0.03442152589559555,
0.04468158632516861,
-0.002792303217574954,
-0.02722286432981491,
0.0219547338783741,
0.043516501784324646,
0.026857152581214905,
-0.012871073558926582,
0.01257479377090931,
-0.04409258812665939,
-0.013719459995627403,
-0.05353705212473869,
0.01951669529080391,
-0.015416094101965427,
-0.04855519160628319,
-0.016933081671595573,
0.021679051220417023,
0.04422890022397041,
0.01444543432444334,
0.02822117693722248,
0.04822508618235588,
-0.022107908502221107,
0.013297238387167454,
-0.02613048255443573,
-0.01712016761302948,
0.022632554173469543,
-0.019095834344625473,
-0.1330316662788391,
-0.0037194315809756517,
-0.031073445454239845,
0.0004649752227123827,
0.008193029090762138,
-0.0028177506756037474,
-0.008538984693586826,
-0.018123643472790718,
0.014712130650877953,
-0.017764799296855927,
-0.08425958454608917,
0.01979210041463375,
0.0018193109426647425,
0.03674202784895897,
-0.01016857661306858,
-0.000101658130006399,
0.05315050855278969,
0.051954563707113266,
0.011303327046334743,
0.07384269684553146,
-0.009893718175590038,
0.03964664041996002,
0.03636445477604866,
0.03937692940235138,
-0.035896576941013336,
-0.01574910245835781,
-0.0046424767933785915,
0.04131711646914482,
0.00507969968020916,
0.03592519089579582,
0.006237959023565054,
0.0006417158874683082,
-0.005544609855860472,
0.01691485568881035,
0.07460396736860275,
-0.001828374806791544,
0.011258740909397602,
0.012477966025471687,
0.062329065054655075,
-0.019610952585935593,
0.03874237835407257,
-0.013928629457950592,
-0.0009155947482213378,
-0.03195357322692871,
-0.05626314878463745,
0.010149047710001469,
0.0021787735167890787,
0.003631768049672246,
-0.008566023781895638,
-0.06889335811138153,
0.049765270203351974,
0.07732462137937546,
0.02508712187409401,
0.020014028996229172,
0.015663351863622665,
0.018912818282842636,
0.0329742468893528,
0.04183994606137276,
-0.08862694352865219,
-0.005238623823970556,
-0.010510166175663471,
-0.0749068334698677,
0.02096843160688877,
0.01988811418414116,
-0.04103003442287445,
0.0019511074060574174,
-0.032248735427856445,
-0.014052167534828186,
0.07139991968870163,
-0.015925174579024315,
-0.00849398598074913,
-0.025707146152853966,
0.03855786472558975,
0.02480379119515419,
0.04130648821592331,
0.059142887592315674,
-0.08350585401058197,
0.024440210312604904,
0.0303729809820652,
0.0016675929073244333,
0.02269425243139267,
-0.028037041425704956,
0.09876885265111923,
-0.009138177148997784,
0.008348803035914898,
0.048656389117240906,
-0.0863959938287735,
-0.023960672318935394,
0.03663254901766777,
-0.012334895320236683,
0.0734635442495346,
-0.03166386857628822,
0.030954819172620773,
0.046948909759521484,
0.03480719402432442,
0.04337843134999275,
0.056576699018478394,
-0.020774614065885544,
0.04482513293623924,
-0.02435907907783985,
-0.025881774723529816,
-0.0042794570326805115,
0.00885571539402008,
-0.05419265851378441,
-0.054079875349998474,
0.0008974139345809817,
-0.02091030776500702,
0.012757740914821625,
0.00037309309118427336,
-0.006727706640958786,
0.006926378700882196,
0.015043916180729866,
-0.005633944179862738,
0.01797209493815899,
0.00484040379524231,
-0.045390479266643524,
0.06754650920629501,
0.008154953829944134,
0.029106473550200462,
0.0020100343972444534,
-0.04299626126885414,
0.10303989797830582,
0.05358065664768219,
-0.010865190997719765,
0.005986322183161974,
0.0246993750333786,
0.0001411513367202133,
-0.032133232802152634,
0.015987850725650787,
-0.02189096435904503,
-0.005379776936024427,
-0.01530421618372202,
-0.0039375536143779755,
-0.009145839139819145,
0.05172884836792946,
-0.0320955328643322,
0.011223158799111843,
0.047531988471746445,
-0.0502559095621109,
0.0645633339881897,
-0.03155577927827835,
0.0008451867033727467,
0.011435934342443943,
-0.02549769915640354,
-0.02995889075100422,
-0.03236737474799156,
-0.01980467699468136,
-0.0033985343761742115,
0.015097440220415592,
-0.023297453299164772,
-0.015606613829731941,
-0.025645511224865913,
-0.041381075978279114,
-0.023184848949313164,
0.03589377552270889,
0.06812994182109833,
-0.013038295321166515,
0.00007069786806823686,
0.007366656791418791,
-0.033994171768426895,
-0.0018443497829139233,
-0.0934823751449585,
-0.0316980816423893,
-0.023952320218086243,
0.031726863235235214,
-0.004256286658346653,
0.04593013599514961,
0.018291356042027473,
-0.03784537687897682,
-0.01961093209683895,
-0.010322720743715763,
0.007016974035650492,
0.03519149124622345,
-0.012555151246488094,
-0.07323401421308517,
-0.018040593713521957,
-0.04437611252069473,
0.06573673337697983,
-0.015881551429629326,
-0.012983580119907856,
-0.05507046729326248,
-0.06439303606748581,
-0.02672846056520939,
-0.048688244074583054,
0.01286239642649889,
0.021542880684137344,
-0.024475684389472008,
0.010035530664026737,
-0.006382355000823736,
0.03355679661035538,
0.04692033305764198,
0.04320616275072098,
0.03538412228226662,
-0.0009357705130241811,
-0.021604903042316437,
0.04014328867197037,
-0.025771060958504677,
0.018224848434329033,
-0.002249140292406082,
0.0194674264639616,
-0.01722550205886364,
-0.007475589402019978,
0.003447672352194786,
0.0036553069949150085,
-0.2626911699771881,
-0.006791419815272093,
-0.01695103757083416,
-0.02384309098124504,
0.028564870357513428,
-0.016585171222686768,
0.044015299528837204,
-0.04713599756360054,
-0.024304550141096115,
0.0033351732417941093,
-0.019306035712361336,
0.05252564698457718,
0.0008153028320521116,
0.0403754822909832,
0.04281013831496239,
0.031632762402296066,
-0.01255297102034092,
-0.05600539222359657,
0.04426383972167969,
0.04801260307431221,
-0.020254461094737053,
-0.05417238175868988,
-0.0024079112336039543,
0.08687461912631989,
-0.0006541056209243834,
0.04472895339131355,
-0.06668069213628769,
-0.01309220027178526,
-0.031968019902706146,
0.013326356187462807,
-0.02021227404475212,
-0.02720748260617256,
0.014038884080946445,
0.03538169339299202,
-0.012769545428454876,
0.030075030401349068,
0.06374415755271912,
0.030642829835414886,
0.039740532636642456,
0.021846462041139603,
0.027141544967889786,
-0.007420905865728855,
-0.04740730673074722,
-0.011425883509218693,
0.06251154094934464,
0.02664158120751381,
-0.06881774216890335,
0.013649365864694118,
-0.01727299951016903,
0.03522337228059769,
-0.010480172000825405,
-0.04812638461589813,
0.012718167155981064,
0.037092044949531555,
0.010710455477237701,
-0.015359657816588879,
0.002924876054748893,
-0.01670878566801548,
-0.012245837599039078,
0.015033961273729801,
0.01436818391084671,
-0.020321350544691086,
-0.05451241508126259,
-0.029881484806537628,
0.024898968636989594,
-0.04373465105891228,
-0.08035124838352203,
-0.061738621443510056,
0.04046556353569031,
0.05703824758529663,
-0.02845422923564911,
0.018698742613196373,
-0.0026533708442002535,
-0.09029294550418854,
-0.01442746166139841,
-0.01974576525390148,
-0.010784062556922436,
-0.019780339673161507,
-0.01316552422940731,
0.04691527783870697,
-0.045492563396692276,
-0.06652702391147614,
0.0010956129990518093,
-0.011662224307656288,
0.02075410820543766,
-0.03271310776472092,
0.013643166050314903,
-0.025939160957932472,
-0.018050869926810265,
-0.03297838941216469,
0.03260010480880737,
-0.008269127458333969,
0.0003945332136936486,
0.03398992493748665,
0.05223698168992996,
-0.008650140836834908,
0.006634600926190615,
0.06614377349615097,
0.05554170534014702,
0.010621268302202225,
0.01977676898241043,
-0.07005404680967331,
-0.021055473014712334,
-0.035948462784290314,
0.0021411371417343616,
0.013339604251086712,
-0.07452392578125,
-0.04415549710392952,
0.03291143849492073,
0.0033141514286398888,
-0.05316011980175972,
-0.03897850960493088,
0.0050833942368626595,
-0.01879357174038887,
-0.06122075766324997,
0.003609693143516779,
0.0032329116947948933,
0.030742309987545013,
0.034323208034038544,
-0.014265773817896843,
-0.001787315122783184,
0.048938143998384476,
-0.0044639077968895435,
-0.01627770997583866,
0.012961742468178272,
-0.01895446889102459,
0.006799499038606882,
-0.006172495428472757,
-0.0021684430539608,
-0.01808951608836651,
0.04193590208888054,
0.01859189197421074,
-0.0013796949060633779,
-0.003555944887921214,
0.0454590730369091,
0.01817002147436142,
-0.0008727783570066094,
-0.01768561080098152,
0.03665192052721977,
0.019879193976521492,
0.01910589076578617,
-0.025996537879109383,
0.02040293626487255,
0.045442260801792145,
0.036957815289497375,
0.0021890178322792053,
0.03247443959116936,
0.032263968139886856,
0.0031582508236169815,
-0.03422411531209946,
0.03535492718219757,
-0.05180753022432327,
0.01802738383412361,
-0.020420126616954803,
0.03766503930091858,
-0.008909308351576328,
0.008892918936908245,
0.011966136284172535,
0.011415689252316952,
-0.06132461503148079,
0.05835599824786186,
0.013238927349448204,
0.01048250962048769,
0.015610714443027973,
0.01764829084277153,
0.02669268660247326,
-0.013165232725441456,
0.02552243322134018,
0.008298599161207676,
0.010357185266911983,
0.037345562130212784,
-0.018277430906891823,
-0.028600845485925674,
-0.01485531311482191,
-0.005620511714369059,
0.01583649218082428,
0.04140859097242355,
0.016141707077622414,
-0.029009701684117317,
0.02911866456270218,
0.007673322223126888,
-0.014902088791131973,
0.019876660779118538,
0.03208516910672188,
0.12144862860441208,
0.03318662568926811,
0.013939882628619671,
-0.011723829433321953,
-0.023475583642721176,
0.030843274667859077,
-0.03252135217189789,
0.00825178436934948,
0.0029241133015602827,
-0.03200965374708176,
-0.03608696162700653,
-0.03372249752283096,
-0.004555812571197748,
0.007849420420825481,
0.029950493946671486,
-0.00011705476936185732,
0.0004816324799321592,
-0.0029715048149228096,
-0.0497090220451355,
-0.021121293306350708,
0.0021404253784567118,
-0.07420563697814941,
-0.025104157626628876,
-0.00472317123785615,
-0.015515201725065708,
0.038967426866292953,
-0.0021615440491586924,
-0.030735069885849953,
-0.06164642795920372,
-0.017349546775221825,
-0.007578421384096146,
-0.007153204642236233,
-0.05298946052789688,
-0.00957526359707117,
0.003215817967429757,
-0.015286893583834171,
-0.0009312870097346604,
0.0017857530619949102,
-0.0044554308988153934,
-0.024781204760074615,
-0.007141932845115662,
0.03690483793616295,
-0.04023870453238487,
-0.013828756287693977,
-0.01218838058412075,
-0.02582942135632038,
0.04355006664991379,
-0.04361217841506004,
0.03373825550079346,
0.027273958548903465,
0.02333242818713188,
-0.01796320080757141,
-0.033554814755916595,
0.036867979913949966,
-0.008191234432160854,
0.018797988072037697,
0.015261384658515453,
-0.017420103773474693,
-0.055551644414663315,
0.01251437608152628,
0.004745065234601498,
0.05247742682695389,
-0.019004153087735176,
0.010542674921452999,
-0.019223839044570923,
0.002732650376856327,
0.017681727185845375,
0.04185236990451813,
-0.05962403491139412,
-0.023853400722146034,
0.06616485863924026,
-0.020426645874977112,
-0.039383664727211,
-0.06451260298490524,
-0.02399175614118576,
0.002155808499082923,
-0.00569215789437294,
0.03826944902539253,
-0.044379301369190216,
0.023076433688402176,
0.035895612090826035,
0.022578684613108635,
0.006323941983282566,
-0.01857106201350689,
0.04035744071006775,
-0.040344223380088806,
-0.031283117830753326,
-0.0727233737707138,
-0.015127697959542274,
0.06617207825183868,
-0.018249962478876114,
-0.0029872034210711718,
-0.0063951872289180756,
-0.04585370421409607,
0.02650989033281803,
-0.006873803213238716,
-0.05334681645035744,
0.02226531133055687,
-0.02548031695187092,
-0.01719193160533905,
0.016886696219444275,
-0.03572070598602295,
-0.005505555775016546,
0.0037632633466273546,
-0.05085683614015579,
-0.028751997277140617,
0.019976338371634483,
0.031231243163347244,
-0.034394826740026474,
-0.008565420284867287,
-0.022441081702709198,
-0.008546024560928345,
-0.0005735161830671132,
0.0307543333619833,
0.031349822878837585,
0.026455126702785492,
-0.012518909759819508,
0.05920460820198059,
0.034199848771095276,
0.011576643213629723,
0.018153568729758263,
0.014730951748788357,
-0.013588223606348038,
-0.07377989590167999,
0.037732236087322235,
-0.0047020744532346725,
-0.022893955931067467,
-0.02880246192216873,
0.05925903096795082,
0.0523022897541523,
-0.04492718353867531,
-0.061361975967884064,
0.03561805561184883,
-0.027961822226643562,
0.017699802294373512,
-0.020452989265322685,
0.014027098193764687,
-0.010935056954622269,
0.07922252267599106,
0.0366542786359787,
0.006427439395338297,
0.06643036752939224,
-0.012402897700667381,
-0.010530028492212296,
-0.0067116026766598225,
0.03724401444196701,
0.06698398292064667,
0.06304535269737244,
-0.012598961591720581,
0.04251289367675781,
-0.03403705358505249,
-0.053892653435468674,
0.017829669639468193,
0.032943107187747955,
-0.004483246710151434,
-0.04385053738951683,
-0.009399405680596828,
0.09145227074623108,
-0.011351673863828182,
0.05478944629430771,
-0.022805938497185707,
0.007443290203809738,
0.013743325136601925,
0.023907335475087166,
-0.006795990280807018,
0.06745227426290512,
0.013932100497186184,
0.010377170518040657,
-0.038892559707164764,
-0.029944073408842087,
0.008259754627943039,
-0.017507541924715042,
0.026187367737293243,
0.010878806002438068,
-0.03946874290704727,
0.018923509865999222,
-0.048330601304769516,
0.042235735803842545,
0.10230618715286255,
-0.030571915209293365,
-0.03391323611140251,
0.004303125664591789,
0.03208347037434578,
0.015443445183336735,
0.04105000197887421,
0.013614538125693798,
-0.017541425302624702,
-0.014447592198848724,
-0.06370900571346283,
0.01815578155219555,
0.022932685911655426,
-0.011546526104211807,
0.009517863392829895,
-0.030357513576745987,
-0.019701456651091576,
0.006310277618467808,
0.027354000136256218,
-0.04938399791717529,
-0.02963270992040634,
-0.010279953479766846,
-0.061124470084905624,
-0.05464964732527733,
-0.05304893106222153,
0.012051836587488651,
0.003394342726096511,
-0.023260677233338356,
0.011003315448760986,
-0.06596152484416962,
-0.015810180455446243,
0.023704539984464645,
-0.07196667790412903,
0.028624217957258224,
0.036805976182222366,
0.0017059629317373037,
-0.01976710371673107,
0.021528180688619614,
-0.008050499483942986,
0.0028154286555945873,
-0.024848097935318947,
0.03985164314508438,
0.011025361716747284,
0.014215856790542603,
0.0047874245792627335,
-0.008128796704113483,
-0.08396101742982864,
0.031123347580432892,
-0.001118225627578795,
-0.046590518206357956,
-0.08383005857467651,
0.03626839816570282,
-0.0262575913220644,
0.02272820845246315,
0.03707624971866608,
0.014421392232179642,
-0.0043193260207772255,
-0.0057749561965465546,
-0.027705995365977287,
-0.004318669438362122,
0.02455436997115612,
0.04768461361527443,
-0.006525603588670492,
0.07140965759754181,
0.050862524658441544,
-0.01022461336106062,
-0.03394513949751854,
0.0025999362114816904,
-0.002049239119514823,
-0.0017168064368888736,
-0.05390369892120361,
-0.0035383151844143867,
-0.021379003301262856,
-0.08339327573776245,
-0.0008036682847887278,
0.05897438898682594,
-0.021695632487535477,
-0.03775208443403244,
0.017661603167653084,
-0.016792938113212585,
-0.01951093226671219,
0.024774786084890366,
-0.013094868510961533,
-0.0008266833610832691,
-0.045733314007520676,
-0.028506729751825333,
-0.08408303558826447,
-0.00012408304610289633,
-0.017369911074638367,
0.014692716300487518,
-0.028266653418540955,
-0.04068256914615631,
0.00662753451615572,
0.0225738026201725,
0.056551139801740646,
-0.018587110564112663,
0.022107740864157677,
0.01053665578365326
] |
https://github.com/BigML-CS-UCLA/GRADMM
|
521 |
Do Bayesian Neural Networks Actually Behave Like Bayesian Models?
|
https://openreview.net/forum?id=x5RQnF7Vw9
|
[
"Gábor Pituk",
"Vik Shirvaikar",
"Tom Rainforth"
] |
Poster
|
We empirically investigate how well popular approximate inference algorithms for Bayesian Neural Networks (BNNs) respect the theoretical properties of Bayesian belief updating. We find strong evidence on synthetic regression and real-world image classification tasks that common BNN algorithms such as variational inference, Laplace approximation, SWAG, and SGLD fail to update in a consistent manner, forget about old data under sequential updates, and violate the predictive coherence properties that would be expected of Bayesian methods. These observed behaviors imply that care should be taken when treating BNNs as true Bayesian models, particularly when using them beyond static prediction settings, such as for active, continual, or transfer learning.
|
Bayesian Neural Networks, BNNs, Bayesian Deep Learning
| null | 13,257 | null |
[
-0.018589995801448822,
0.006676217541098595,
-0.003993725869804621,
0.03260890021920204,
0.042780742049217224,
0.014063636772334576,
0.017999006435275078,
0.010491800494492054,
-0.044697679579257965,
-0.01982942223548889,
-0.007614500820636749,
0.041551172733306885,
-0.07041149586439133,
0.015656935051083565,
-0.001411312841810286,
0.06070074811577797,
0.03424961119890213,
0.02007402665913105,
0.009750756435096264,
0.027027452364563942,
-0.023987529799342155,
-0.04964496195316315,
0.00037180937943048775,
0.02177909016609192,
-0.0016381567111238837,
-0.012412452138960361,
0.04791054129600525,
0.017151564359664917,
-0.024135326966643333,
-0.0246738251298666,
0.02604544535279274,
0.008304021321237087,
-0.004570778924971819,
-0.047287583351135254,
-0.003865579841658473,
0.024918006733059883,
-0.05177643522620201,
-0.0016849585808813572,
-0.039339806884527206,
0.031102130189538002,
-0.06165020167827606,
0.027297697961330414,
-0.009196450933814049,
0.011102939955890179,
-0.03604640066623688,
-0.004967743530869484,
-0.04748508706688881,
0.051677972078323364,
0.008275137282907963,
-0.031541045755147934,
-0.09229488670825958,
0.03471742942929268,
-0.013650316745042801,
-0.0007876273011788726,
0.0034027951769530773,
0.03286897391080856,
0.03901585191488266,
-0.05287840962409973,
-0.0003230164584238082,
-0.0464775450527668,
-0.032657645642757416,
0.01072746142745018,
-0.002808190183714032,
0.003950915765017271,
0.0013410229003056884,
-0.02883378230035305,
0.029737453907728195,
0.0779695138335228,
-0.048757754266262054,
-0.007112753111869097,
-0.0461212582886219,
-0.019045080989599228,
0.01197490468621254,
0.0012232705485075712,
-0.0010422258637845516,
-0.013678274117410183,
0.01610308326780796,
0.0018825412262231112,
0.0756135880947113,
-0.03453730046749115,
0.03712337836623192,
0.021041378378868103,
0.04160343483090401,
0.01824861951172352,
0.013092469424009323,
0.009958223439753056,
-0.02097163535654545,
-0.04379324987530708,
-0.08730742335319519,
0.0664631724357605,
-0.010547778569161892,
-0.030613156035542488,
0.022269263863563538,
0.022920645773410797,
-0.0264939796179533,
-0.016082659363746643,
0.03393242880702019,
-0.016829989850521088,
0.036375779658555984,
-0.01888227090239525,
-0.054959479719400406,
-0.02489093318581581,
0.03547477722167969,
-0.0014628054341301322,
-0.0941627100110054,
-0.0214520450681448,
-0.015340020880103111,
-0.02640414610505104,
-0.020504290238022804,
0.02517849951982498,
-0.05139382556080818,
0.022847699001431465,
0.026890313252806664,
-0.01930946484208107,
-0.06954623013734818,
-0.0295950286090374,
-0.03514183312654495,
0.004579692147672176,
-0.021921643987298012,
-0.020191404968500137,
0.04416719451546669,
0.03203487768769264,
-0.02254408784210682,
0.033057570457458496,
-0.015653029084205627,
0.0006759054958820343,
0.02503260411322117,
0.017887849360704422,
-0.042205363512039185,
-0.03214920312166214,
0.005499687977135181,
0.011720138601958752,
0.004806461278349161,
0.034437913447618484,
0.007182737346738577,
-0.03015405870974064,
-0.025847187265753746,
0.030821625143289566,
-0.005716914776712656,
0.014699805527925491,
0.014797305688261986,
-0.022649627178907394,
0.07015428692102432,
0.03657941520214081,
0.08634926378726959,
-0.01768462359905243,
-0.00045338558265939355,
-0.013220946304500103,
-0.04416482150554657,
-0.020854134112596512,
0.0004437397001311183,
-0.015856312587857246,
-0.002105430234223604,
-0.07595393806695938,
0.02716946229338646,
0.03319303318858147,
-0.014296812936663628,
0.04112758859992027,
-0.0013651035260409117,
0.0013875541044399142,
0.057165853679180145,
0.015973225235939026,
-0.01467712502926588,
0.005797816906124353,
0.012663427740335464,
-0.0838862732052803,
0.0480303056538105,
0.06141676381230354,
-0.011399433016777039,
0.031826362013816833,
-0.021729568019509315,
-0.07209055125713348,
0.052802249789237976,
0.0073119462467730045,
-0.02590126171708107,
0.01762617751955986,
0.06731461733579636,
0.007274851202964783,
0.03244110569357872,
-0.021002328023314476,
-0.07667505741119385,
0.04752754420042038,
0.006552333943545818,
0.011528891511261463,
-0.033455949276685715,
-0.03482983261346817,
0.06469526886940002,
-0.04261857643723488,
0.020766224712133408,
-0.004129557404667139,
-0.073769211769104,
-0.026099305599927902,
0.014764680527150631,
-0.005859951488673687,
0.06987368315458298,
0.007500762585550547,
-0.03562306985259056,
0.04655718058347702,
0.021248644217848778,
0.026148004457354546,
0.043371520936489105,
-0.018712585791945457,
0.05580976605415344,
-0.002115702023729682,
-0.05358271673321724,
0.011119266040623188,
0.06091354042291641,
-0.04051463305950165,
-0.009669352322816849,
0.05567341670393944,
-0.034674808382987976,
-0.020127929747104645,
-0.0005735300946980715,
-0.0039215087890625,
0.025922192260622978,
-0.0013216950464993715,
-0.012988333590328693,
-0.009076204150915146,
0.024755412712693214,
-0.01408184040337801,
-0.004439970012754202,
0.0218545850366354,
-0.008690978400409222,
0.004405333660542965,
-0.008950849995017052,
0.06748603284358978,
0.08573738485574722,
-0.022959968075156212,
-0.009173847734928131,
0.013814941048622131,
0.04327384755015373,
0.0262611024081707,
0.027482816949486732,
-0.009136786684393883,
0.0454220287501812,
-0.028063498437404633,
-0.004060335922986269,
-0.05173863098025322,
0.02860238216817379,
-0.03888384625315666,
-0.006459167692810297,
0.05409691855311394,
-0.027661938220262527,
0.049885302782058716,
-0.009730322286486626,
-0.01444235723465681,
0.028141234070062637,
0.0004942361847497523,
-0.044159334152936935,
0.013484453782439232,
-0.028785552829504013,
-0.013751616701483727,
0.01585935242474079,
0.0037907122168689966,
0.010238494724035263,
-0.051920853555202484,
-0.021545901894569397,
0.01309792697429657,
0.08076725155115128,
0.060559969395399094,
0.0420059859752655,
0.006675762590020895,
0.011315642856061459,
-0.04977860674262047,
-0.04812755808234215,
-0.1297900378704071,
-0.056819066405296326,
-0.017652856186032295,
0.03465467691421509,
0.025331085547804832,
0.02290361560881138,
-0.010764817707240582,
0.03644999861717224,
-0.01656421646475792,
0.0025846592616289854,
-0.007402467075735331,
0.034486282616853714,
0.027294548228383064,
-0.02778867445886135,
-0.007852059789001942,
-0.00817806739360094,
0.06008942052721977,
-0.02364327944815159,
-0.04963304102420807,
-0.021864961832761765,
-0.06283695995807648,
-0.019692284986376762,
-0.0032601237762719393,
-0.00674112793058157,
0.037013471126556396,
0.01347777433693409,
0.0018750240560621023,
0.013009910471737385,
0.017496908083558083,
0.023395568132400513,
0.0751333087682724,
0.072663813829422,
-0.009038909338414669,
-0.03496332839131355,
0.02707814984023571,
-0.0249056126922369,
0.020892435684800148,
0.014414041303098202,
-0.015487739816308022,
0.011088374070823193,
0.0262411180883646,
0.012261920608580112,
0.02552131563425064,
-0.27493390440940857,
0.03547142446041107,
0.0412411242723465,
-0.043367862701416016,
0.029854636639356613,
-0.007681721821427345,
0.05149716138839722,
-0.0118104238063097,
-0.021207058802247047,
0.04865020141005516,
0.034636497497558594,
0.0035321018658578396,
-0.00439734710380435,
0.05241703242063522,
0.03550465777516365,
-0.00915905274450779,
0.00390273192897439,
-0.00669790618121624,
0.017247354611754417,
0.026955345645546913,
-0.009216743521392345,
-0.04998018965125084,
-0.04299364611506462,
0.019280536100268364,
-0.014471578411757946,
0.06308303773403168,
-0.03973765671253204,
-0.012638785876333714,
-0.05530126392841339,
0.03276878967881203,
-0.013437287881970406,
-0.002178617287427187,
-0.018053768202662468,
0.05289139971137047,
0.002648455323651433,
0.011187687516212463,
0.034358903765678406,
-0.02201368845999241,
-0.004857299383729696,
0.02464299462735653,
0.005432404112070799,
0.04244215413928032,
-0.013489969074726105,
0.015171392820775509,
0.08954741060733795,
0.003822067752480507,
-0.06814193725585938,
-0.0019008347298949957,
-0.02399476058781147,
0.02619260363280773,
-0.03172996640205383,
0.012172057293355465,
0.008064493536949158,
-0.02431158907711506,
-0.0010351014789193869,
-0.012460672296583652,
0.0013715148670598865,
-0.03192271292209625,
-0.024386053904891014,
0.00046977444435469806,
0.009346161037683487,
-0.05491021275520325,
-0.010660766623914242,
-0.023430194705724716,
0.0016683032736182213,
-0.033701371401548386,
-0.07341288775205612,
-0.07318584620952606,
0.03890378400683403,
0.02200176566839218,
-0.0073769730515778065,
0.04318581521511078,
-0.02493378147482872,
-0.1010691449046135,
0.027909088879823685,
0.014795568771660328,
-0.024785222485661507,
-0.022157492116093636,
0.0137783819809556,
0.02475411258637905,
-0.015368206426501274,
-0.049153681844472885,
-0.0011075218208134174,
0.008806735277175903,
0.042435336858034134,
0.004515162203460932,
0.012367761693894863,
-0.004488038364797831,
-0.0407986156642437,
-0.043662719428539276,
0.03490779548883438,
0.009914995171129704,
0.08343121409416199,
-0.002883975161239505,
0.03869517520070076,
0.07763053476810455,
0.012849691323935986,
0.04134020581841469,
0.07127651572227478,
-0.002144851488992572,
0.04329972341656685,
-0.04355518892407417,
-0.011509480886161327,
-0.03396451473236084,
-0.05060771852731705,
0.042461685836315155,
-0.015316636301577091,
-0.0107221445068717,
0.01633567176759243,
-0.019532324746251106,
-0.02529747597873211,
-0.030414393171668053,
0.010149914771318436,
0.02511408179998398,
-0.010015510953962803,
-0.02727975882589817,
-0.024387575685977936,
0.011736302636563778,
-0.0038202940486371517,
-0.004355217795819044,
-0.02682720124721527,
0.02681901678442955,
-0.05278928950428963,
0.033380188047885895,
-0.021115530282258987,
-0.06255683302879333,
0.009180948138237,
-0.02523496188223362,
0.015575772151350975,
-0.008074536919593811,
0.019690940156579018,
0.03713943436741829,
0.012138918973505497,
0.037361834198236465,
0.0796622484922409,
0.009347416460514069,
-0.014744692482054234,
0.003323468379676342,
0.022569935768842697,
-0.024890387430787086,
-0.0034496209118515253,
-0.00003782452404266223,
0.03617044538259506,
0.02710517682135105,
-0.0178998876363039,
0.008496305905282497,
0.006075714714825153,
-0.007682699244469404,
0.016964517533779144,
-0.01455165259540081,
0.011346188373863697,
-0.050661876797676086,
-0.029139164835214615,
-0.014567054808139801,
0.03511612489819527,
0.000951817724853754,
0.05600859597325325,
-0.005296844057738781,
0.024783706292510033,
-0.04727039113640785,
0.046791259199380875,
0.023928189650177956,
-0.03679625689983368,
0.013145546428859234,
-0.01406692061573267,
0.060896262526512146,
-0.019060129299759865,
-0.01792341098189354,
0.02245861478149891,
0.03817393630743027,
0.016524426639080048,
-0.02328423783183098,
-0.0305302944034338,
-0.006908030714839697,
-0.009025213308632374,
-0.00857623852789402,
0.00753798196092248,
-0.023097870871424675,
-0.050323985517024994,
0.010394811630249023,
0.014685791917145252,
0.005463813431560993,
-0.030360577628016472,
0.025996394455432892,
0.03498128429055214,
0.0005014152848161757,
0.005985569674521685,
0.013480100780725479,
-0.06006356701254845,
0.03539293259382248,
0.0052022128365933895,
0.01787172257900238,
-0.011715724132955074,
-0.04539601504802704,
-0.027057012543082237,
-0.016339294612407684,
0.008455057628452778,
-0.01083647646009922,
-0.017170913517475128,
-0.0064961775206029415,
-0.012444538995623589,
0.009159362874925137,
-0.03845413029193878,
0.0037327928002923727,
0.001970793819054961,
-0.07940324395895004,
0.03439847007393837,
0.05897681415081024,
-0.07656680047512054,
0.004652694333344698,
-0.04134930297732353,
0.008789965882897377,
-0.0637756735086441,
-0.02126135304570198,
0.005455988459289074,
-0.024445172399282455,
-0.018953513354063034,
0.0051881782710552216,
0.01689927652478218,
0.007914399728178978,
-0.0014815863687545061,
-0.017551302909851074,
0.026253337040543556,
-0.027469994500279427,
0.0034992608707398176,
0.03671161085367203,
0.014156403951346874,
0.010722585953772068,
0.019029663875699043,
-0.03583985194563866,
0.0011818030616268516,
-0.06616925448179245,
-0.007498877122998238,
0.07557404041290283,
-0.026840638369321823,
0.004276998341083527,
-0.031530093401670456,
0.04481129348278046,
-0.005815073382109404,
-0.002332194009795785,
-0.02469564601778984,
0.013447360135614872,
-0.04028600826859474,
0.015943292528390884,
0.012911046855151653,
-0.012464194558560848,
0.019397353753447533,
0.028050122782588005,
0.011790200136601925,
0.0050811367109417915,
-0.011968385428190231,
-0.003349108388647437,
-0.10128115117549896,
0.023481089621782303,
0.04738328605890274,
-0.024355096742510796,
-0.03130579739809036,
-0.06810012459754944,
-0.0323626883327961,
0.010745319537818432,
-0.005576999858021736,
-0.032350387424230576,
-0.04382917657494545,
0.022825755178928375,
0.020392511039972305,
0.018605444580316544,
0.0032872187439352274,
-0.0021202971693128347,
0.019252732396125793,
-0.06344981491565704,
0.02277768775820732,
-0.04383987560868263,
-0.03443755581974983,
0.04858836159110069,
0.010705189779400826,
0.02128549851477146,
-0.00581948971375823,
-0.00040632879245094955,
0.040339577943086624,
-0.04343560338020325,
-0.040039096027612686,
-0.0031841343734413385,
-0.04282396659255028,
-0.007571795955300331,
0.01403139065951109,
-0.055897679179906845,
0.012470460496842861,
-0.021573534235358238,
-0.07019958645105362,
0.019789444282650948,
-0.004033785779029131,
0.06002672761678696,
-0.009807401336729527,
-0.013458936475217342,
-0.006641678046435118,
0.0292048417031765,
0.0380750373005867,
0.0695020779967308,
0.03144817799329758,
0.03744740039110184,
-0.055027443915605545,
0.07555924355983734,
0.03433571010828018,
0.0465582050383091,
0.018979893997311592,
0.012932253070175648,
-0.00845541711896658,
-0.08382003754377365,
0.03644649311900139,
0.012754569761455059,
-0.03498484194278717,
-0.03410531207919121,
0.03070572204887867,
0.02876989170908928,
-0.05364840477705002,
-0.023128891363739967,
0.01802402175962925,
-0.04351993650197983,
-0.022305935621261597,
0.040382564067840576,
0.016433048993349075,
-0.00590503541752696,
0.05408182367682457,
0.011339290998876095,
0.046235453337430954,
0.05392633378505707,
0.029661312699317932,
-0.005671847146004438,
-0.012055190280079842,
0.058363985270261765,
0.059588171541690826,
0.03819030150771141,
0.02614331804215908,
0.06739872694015503,
-0.0363149419426918,
-0.05667434260249138,
-0.035652387887239456,
0.0036637599114328623,
0.007173669990152121,
-0.03192368894815445,
0.012397771701216698,
0.07245215028524399,
0.005230151582509279,
0.05757635831832886,
-0.0497402586042881,
0.011487883515655994,
0.03721508011221886,
0.00586366280913353,
-0.028024647384881973,
0.022542040795087814,
0.022129807621240616,
-0.0007546948618255556,
-0.019122742116451263,
-0.05386047437787056,
-0.018747340887784958,
-0.03873276337981224,
-0.015520581044256687,
0.022501474246382713,
-0.009725870564579964,
-0.00556509755551815,
0.012556576170027256,
0.03417249396443367,
0.11252476274967194,
-0.031130841001868248,
-0.02928815223276615,
0.00907664094120264,
0.020212974399328232,
0.027650054544210434,
0.04133191704750061,
0.042828213423490524,
-0.023761043325066566,
0.01866278611123562,
-0.028226634487509727,
0.019127994775772095,
0.01983850635588169,
0.003185540670529008,
-0.01622619479894638,
-0.04284916818141937,
-0.06690061092376709,
0.012372581288218498,
0.017567381262779236,
-0.050523754209280014,
-0.061436139047145844,
-0.01404425036162138,
-0.051669642329216,
-0.05407105013728142,
-0.04669899865984917,
0.0377751849591732,
-0.04312589019536972,
-0.035305142402648926,
-0.011439097113907337,
-0.0182206891477108,
0.00024093978572636843,
0.04775990918278694,
-0.056228529661893845,
-0.00571483327075839,
0.04583180695772171,
0.0243324376642704,
-0.014249077066779137,
0.03152209520339966,
0.04454170539975166,
-0.010990085080265999,
-0.02311311848461628,
0.07890743762254715,
-0.01293114759027958,
0.01343838032335043,
-0.02639562264084816,
0.021748971194028854,
-0.08545145392417908,
-0.006522344890981913,
0.02174166776239872,
-0.042332299053668976,
-0.08184882998466492,
0.04224575310945511,
-0.024428892880678177,
0.011553172022104263,
0.06422323733568192,
-0.0018059811554849148,
0.030764790251851082,
-0.037594038993120193,
-0.0011704518692567945,
-0.03840920701622963,
0.01777747832238674,
0.04953703656792641,
-0.0005215182318352163,
0.05895983427762985,
0.04353584721684456,
-0.03663783520460129,
-0.04491295665502548,
0.005636447574943304,
0.028571633622050285,
0.00897773914039135,
-0.018047619611024857,
-0.019731761887669563,
-0.019804246723651886,
-0.09506151080131531,
-0.030191034078598022,
-0.010982942767441273,
-0.0017622766317799687,
-0.02419535629451275,
-0.011830750852823257,
-0.03241468966007233,
0.005645845551043749,
-0.0323835127055645,
-0.02630174532532692,
0.018019331619143486,
-0.039108436554670334,
-0.032161645591259,
-0.09381020069122314,
0.030642982572317123,
0.0005258586024865508,
0.012220324948430061,
-0.04513145983219147,
-0.0404745489358902,
-0.012761766090989113,
-0.02870870567858219,
0.024734964594244957,
0.025653349235653877,
0.04146049916744232,
-0.034702133387327194
] | null |
522 |
AUTOCIRCUIT-RL: Reinforcement Learning-Driven LLM for Automated Circuit Topology Generation
|
https://openreview.net/forum?id=NvYwrQbzOb
|
[
"Prashanth Vijayaraghavan",
"Luyao Shi",
"Ehsan Degan",
"Vandana Mukherjee",
"Xin Zhang"
] |
Poster
|
Analog circuit topology synthesis is integral to Electronic Design Automation (EDA), enabling the automated creation of circuit structures tailored to specific design requirements. However, the vast design search space and strict constraint adherence make efficient synthesis challenging. Leveraging the versatility of Large Language Models (LLMs), we propose AUTOCIRCUIT-RL, a novel reinforcement learning (RL)-based framework for automated analog circuit synthesis. The framework operates in two phases: instruction tuning, where an LLM learns to generate circuit topologies from structured prompts encoding design constraints, and RL refinement, which further improves the instruction-tuned model using reward models that evaluate validity, efficiency, and output voltage. The refined model is then used directly to generate topologies that satisfy the design constraints. Empirical results show that AUTOCIRCUIT-RL generates ~12% more valid circuits and improves efficiency by ~14% compared to the best baselines, while reducing duplicate generation rates by ~38%. It achieves over 60% success in synthesizing valid circuits with limited training data, demonstrating strong generalization. These findings highlight the framework's effectiveness in scaling to complex circuits while maintaining efficiency and constraint adherence, marking a significant advancement in AI-driven circuit design.
|
Analog circuit, circuit topology, reinforcement learning, instruction tuning, RL refinement
|
We introduce AUTOCIRCUIT-RL, an AI system that uses reinforcement learning and large language models to automatically generate efficient and valid analog circuit designs from constraints.
| 13,250 | null |
[
0.02103816717863083,
-0.02101140469312668,
-0.03408963233232498,
0.05090457573533058,
0.04921878129243851,
0.02079113759100437,
0.012620286084711552,
-0.013066145591437817,
-0.005780429113656282,
-0.010830799117684364,
0.004177153576165438,
0.023025356233119965,
-0.06249747797846794,
0.006319135427474976,
-0.0015293187461793423,
0.0333690419793129,
0.03063555434346199,
-0.0061216712929308414,
0.021775459870696068,
0.030706126242876053,
0.02110818587243557,
0.012693315744400024,
0.0508851520717144,
0.04812869429588318,
0.04006486386060715,
-0.005315506365150213,
0.040628280490636826,
0.0011932465713471174,
-0.011247828602790833,
0.02166242152452469,
0.05738277733325958,
-0.0312892384827137,
0.02998190186917782,
-0.025567783042788506,
0.014117829501628876,
-0.007924098521471024,
-0.03682554140686989,
-0.028916368260979652,
-0.011456573382019997,
-0.012302521616220474,
-0.05053357779979706,
0.02877935953438282,
-0.02096353843808174,
-0.0044060274958610535,
-0.01263455767184496,
0.04010618105530739,
-0.09544587135314941,
0.021514756605029106,
0.011771130375564098,
-0.01115480437874794,
-0.09049252420663834,
0.010250188410282135,
-0.0010092525044456124,
-0.01657353900372982,
-0.01906278356909752,
-0.01898949407041073,
0.031800463795661926,
-0.0716671347618103,
-0.010754241608083248,
-0.05678027123212814,
-0.028948448598384857,
0.031620047986507416,
0.01705651730298996,
0.01668604090809822,
-0.002396435011178255,
-0.020365042611956596,
0.011457648128271103,
0.02563047595322132,
-0.07047683745622635,
-0.008346098475158215,
-0.06324552744626999,
-0.01658755913376808,
-0.00024392700288444757,
-0.009169939905405045,
0.008977477438747883,
-0.044829633086919785,
-0.016023781150579453,
0.04462872073054314,
0.0877445638179779,
0.0003025080659426749,
0.04064329341053963,
0.04842594265937805,
0.012359954416751862,
0.03737860545516014,
0.0072069657035171986,
0.012549594044685364,
-0.05970305576920509,
-0.036781929433345795,
-0.04896646738052368,
0.019151680171489716,
-0.04370710626244545,
-0.03041854128241539,
0.01933188922703266,
0.052348148077726364,
0.023527229204773903,
-0.020588435232639313,
0.006517460569739342,
0.003737891325727105,
-0.012602140195667744,
0.00008117264223983511,
0.01901278644800186,
-0.0313827246427536,
0.013314412906765938,
-0.016287682577967644,
-0.0806550458073616,
-0.017990127205848694,
-0.027731003239750862,
-0.02835286222398281,
-0.0023336494341492653,
0.01608174853026867,
-0.010265020653605461,
-0.015910975635051727,
0.04179760441184044,
-0.01538754627108574,
-0.09162493050098419,
0.046857547014951706,
0.007141041569411755,
0.03754470869898796,
0.004235670901834965,
-0.013319641351699829,
0.034255992621183395,
0.04448308050632477,
0.025298362597823143,
0.054177090525627136,
0.004681888967752457,
0.0007448330870829523,
0.02393071912229061,
0.05012337863445282,
-0.008197592571377754,
-0.03236331790685654,
-0.005529899150133133,
0.052996646612882614,
-0.013570459559559822,
0.019704198464751244,
-0.005792870186269283,
0.006365882232785225,
0.0152698690071702,
0.024232545867562294,
0.06790244579315186,
0.027491066604852676,
-0.010607484728097916,
-0.009150614961981773,
0.10079876333475113,
-0.06475763767957687,
0.05203359201550484,
0.0033310027793049812,
-0.006030087824910879,
-0.028851954266428947,
-0.03417636826634407,
-0.007578377611935139,
0.005903678946197033,
0.023206958547234535,
-0.047037504613399506,
-0.05954370275139809,
0.03309426084160805,
0.03836812078952789,
0.054371315985918045,
0.03208176791667938,
-0.009827886708080769,
0.0191404577344656,
0.0019210666650906205,
-0.009772979654371738,
0.0045916493982076645,
-0.005466266069561243,
-0.03535900264978409,
-0.04513246566057205,
0.04574437439441681,
0.0030735412146896124,
-0.010219910182058811,
-0.0008657934959046543,
-0.026911607012152672,
-0.027790946885943413,
0.01880008354783058,
0.013164171017706394,
-0.03365693241357803,
-0.022565465420484543,
0.054392259567976,
-0.03301141411066055,
0.0015257594641298056,
0.0411016009747982,
-0.08438985049724579,
0.022269533947110176,
-0.002861986169591546,
-0.020227674394845963,
0.015371155925095081,
-0.05726185068488121,
0.07956252992153168,
-0.03913792967796326,
0.00606499332934618,
-0.018307670950889587,
-0.0667051151394844,
-0.014957338571548462,
0.0055580115877091885,
-0.017994357272982597,
0.07331792265176773,
0.013826718553900719,
-0.022266289219260216,
0.04938361421227455,
0.009222264401614666,
0.08886059373617172,
0.043020669370889664,
-0.011211179196834564,
0.019869375973939896,
-0.039137713611125946,
-0.016030624508857727,
-0.011660194024443626,
0.0411079116165638,
-0.02523336559534073,
-0.004756505601108074,
-0.013943466357886791,
0.012981122359633446,
-0.01898304931819439,
0.03564384579658508,
-0.031473398208618164,
0.022807208821177483,
-0.04422313719987869,
-0.023103797808289528,
-0.005311970598995686,
0.041313305497169495,
-0.05892570689320564,
0.042791254818439484,
0.03740435838699341,
-0.009192321449518204,
0.0445832796394825,
-0.049549516290426254,
0.10284283757209778,
0.058216702193021774,
-0.05821207910776138,
-0.03134223818778992,
0.040934931486845016,
-0.025522276759147644,
-0.010067833587527275,
-0.005037352442741394,
-0.036703623831272125,
0.0296709593385458,
-0.00968179665505886,
-0.005158999003469944,
-0.009654175490140915,
0.035838011652231216,
-0.032591789960861206,
-0.013656362891197205,
0.07288385927677155,
-0.039896659553050995,
0.05760635435581207,
-0.008370543830096722,
0.028220752254128456,
0.024864206090569496,
-0.014897589571774006,
0.00030924275051802397,
-0.008415504358708858,
-0.03004607930779457,
-0.004471420776098967,
0.03273409977555275,
0.010793996974825859,
0.010807914659380913,
-0.07296917587518692,
-0.012773534283041954,
-0.012031198479235172,
0.03957942873239517,
0.05450987070798874,
0.011779392138123512,
0.006640024948865175,
0.006473151035606861,
-0.036208175122737885,
-0.006753675173968077,
-0.11180426925420761,
-0.025433329865336418,
0.0024559732992202044,
0.0413312092423439,
0.0007469457341358066,
-0.020434359088540077,
0.029902087524533272,
0.01953822374343872,
-0.03986627981066704,
-0.029424410313367844,
0.028028609231114388,
0.009341112338006496,
0.014446978457272053,
-0.005430432967841625,
-0.00700524915009737,
0.009853602387011051,
0.06611686944961548,
-0.021625418215990067,
-0.016370156779885292,
-0.02368622086942196,
-0.06172375753521919,
-0.004499343223869801,
-0.029085993766784668,
0.013472448103129864,
-0.0034793931990861893,
-0.022244835272431374,
0.04294706881046295,
-0.054354798048734665,
0.045532722026109695,
0.04397941008210182,
0.07822269201278687,
0.047981396317481995,
0.01121599692851305,
-0.016200991347432137,
-0.003811127506196499,
-0.006922527216374874,
0.013482687994837761,
-0.05110863223671913,
0.06107805296778679,
0.012683350592851639,
0.029465332627296448,
0.04133953899145126,
0.014536112546920776,
-0.23268307745456696,
-0.03977113962173462,
0.02490336447954178,
-0.03215031698346138,
0.02001495100557804,
0.015194077044725418,
0.02922331541776657,
-0.021617164835333824,
-0.01622980833053589,
0.0149998152628541,
0.004870194476097822,
0.019386213272809982,
0.011395445093512535,
0.053639017045497894,
0.06118212640285492,
0.05029352381825447,
-0.023762468248605728,
-0.02360517717897892,
0.011746386997401714,
0.04793652147054672,
-0.00243611098267138,
-0.08643554151058197,
-0.0036373448092490435,
0.01555141806602478,
0.002562510082498193,
0.02757071889936924,
-0.1013551875948906,
-0.011516185477375984,
-0.019851790741086006,
-0.00349097466096282,
-0.052643630653619766,
-0.01890258677303791,
-0.02229701168835163,
0.009688414633274078,
0.013269783928990364,
0.004631173796951771,
0.03753654658794403,
-0.011300066486001015,
0.02084856666624546,
0.0033827926963567734,
0.029646124690771103,
0.0020888957660645247,
0.0014803309459239244,
0.045593079179525375,
0.03674829378724098,
0.034301746636629105,
-0.08059367537498474,
-0.024216897785663605,
0.001900210976600647,
0.0526704378426075,
-0.02857293002307415,
0.005842163227498531,
0.04352160543203354,
0.005601061973720789,
0.007764690555632114,
-0.017453843727707863,
-0.01022106222808361,
-0.0012824491132050753,
0.0033897182438522577,
0.023874228820204735,
-0.05344989523291588,
-0.02050887607038021,
-0.042942438274621964,
-0.010357399471104145,
-0.0032288036309182644,
-0.011537169106304646,
-0.05613294616341591,
-0.05341503769159317,
0.03875536471605301,
0.05590113624930382,
0.004648466128855944,
0.004915551748126745,
-0.0338171161711216,
-0.1081349104642868,
0.0008478456875309348,
0.014015771448612213,
-0.007013858761638403,
-0.013947814702987671,
-0.006883376277983189,
0.03873831406235695,
-0.026447482407093048,
-0.038282327353954315,
-0.031291406601667404,
0.025260206311941147,
0.022733597084879875,
0.002325743902474642,
-0.013447006233036518,
-0.02365761436522007,
-0.026539376005530357,
-0.0027123864274472,
0.04820431023836136,
0.023575467988848686,
0.011499157175421715,
-0.06585649400949478,
0.07374890148639679,
-0.004062304273247719,
0.07510747760534286,
0.06416549533605576,
0.04059809446334839,
-0.013422952964901924,
0.010383591055870056,
-0.05575311556458473,
0.0003786473535001278,
-0.04978996515274048,
-0.044424060732126236,
0.005417641717940569,
-0.0579211451113224,
-0.05621561408042908,
0.04753071069717407,
0.0111223254352808,
-0.03623074293136597,
-0.053946707397699356,
0.02305985614657402,
-0.018433205783367157,
0.008550607599318027,
-0.013360892422497272,
0.006280244328081608,
0.04862083122134209,
0.021961594000458717,
-0.047746989876031876,
-0.061049461364746094,
0.023884328082203865,
-0.03741101175546646,
0.006348062306642532,
0.03813215345144272,
0.010433083400130272,
-0.003398675238713622,
0.00003119251414318569,
0.0001535821211291477,
-0.005075246095657349,
0.03662485256791115,
0.023113518953323364,
-0.020146870985627174,
0.026636406779289246,
0.020685872063040733,
-0.008222279138863087,
-0.058829788118600845,
0.012498846277594566,
0.04341588541865349,
0.022297747433185577,
0.0020598911214619875,
-0.009044767357409,
0.06834150105714798,
0.009161523543298244,
0.015503833070397377,
0.016332082450389862,
0.024286186322569847,
0.015506193973124027,
0.003504266031086445,
-0.008376500569283962,
0.038093019276857376,
-0.048705436289310455,
0.015318956226110458,
-0.05569945275783539,
0.044664524495601654,
-0.03408872336149216,
0.014286952093243599,
-0.02465180866420269,
0.005571645684540272,
-0.059770677238702774,
0.03323432803153992,
0.00881519727408886,
-0.003220096230506897,
0.01467177178710699,
0.03012043423950672,
0.05274331197142601,
-0.03631654009222984,
-0.017136916518211365,
0.020494993776082993,
0.028156844899058342,
-0.005194637458771467,
-0.038250528275966644,
-0.00808912143111229,
-0.034245606511831284,
-0.04493863508105278,
0.012811391614377499,
0.03088725544512272,
-0.0786440521478653,
-0.016105178743600845,
-0.004937530495226383,
-0.0316384956240654,
-0.02524268627166748,
0.003837472992017865,
0.01583019457757473,
0.07627622783184052,
-0.03630851209163666,
-0.005197334103286266,
0.00391373410820961,
-0.03697087615728378,
0.005832351744174957,
0.02401227131485939,
0.017737967893481255,
-0.049190543591976166,
-0.042056359350681305,
-0.04863981902599335,
-0.030193638056516647,
0.016291644424200058,
0.015143515542149544,
0.006067666690796614,
-0.05703401565551758,
-0.0017058339435607195,
-0.020746000111103058,
-0.026620369404554367,
-0.02220051921904087,
0.034938786178827286,
-0.04443660005927086,
0.025270866230130196,
0.05871247127652168,
0.006816483102738857,
0.04002820700407028,
-0.05107947811484337,
-0.030667688697576523,
-0.036127641797065735,
-0.012591749429702759,
-0.013263563625514507,
0.006828409619629383,
-0.01879638433456421,
-0.027128485962748528,
-0.031589142978191376,
0.009023716673254967,
0.006959001999348402,
0.0009468020871281624,
0.01233663409948349,
-0.027514055371284485,
-0.00981492456048727,
0.029379401355981827,
-0.06264235079288483,
-0.02051176130771637,
0.011956333182752132,
-0.02369973622262478,
0.007155338767915964,
-0.04444466903805733,
0.012690423987805843,
0.023737668991088867,
0.03265863656997681,
-0.004321869928389788,
-0.09098926186561584,
0.03927244246006012,
-0.003808721899986267,
-0.016789643093943596,
-0.01567806303501129,
0.005718672648072243,
-0.06956838816404343,
0.014690631069242954,
0.007290080189704895,
0.025011790916323662,
0.024679718539118767,
0.0343540720641613,
0.0004289557982701808,
0.017891354858875275,
0.021827174350619316,
0.002395093208178878,
-0.021164854988455772,
0.014674327336251736,
0.0628509595990181,
-0.04346363991498947,
0.004207065794616938,
-0.0351199172437191,
-0.028086211532354355,
0.02158544957637787,
-0.04298623278737068,
0.02123080939054489,
-0.03477395698428154,
0.04475545138120651,
0.026196543127298355,
0.03213034197688103,
-0.006456357892602682,
-0.04396934062242508,
0.029534868896007538,
-0.05071565881371498,
0.011750033125281334,
-0.05300236493349075,
0.02174663357436657,
0.07092300802469254,
-0.045367028564214706,
-0.030781477689743042,
0.008242578245699406,
-0.052399467676877975,
0.03317301347851753,
-0.02094230242073536,
-0.04533988609910011,
0.031202521175146103,
0.02727513201534748,
-0.03200194984674454,
0.046483106911182404,
-0.025414183735847473,
-0.028580602258443832,
-0.025478599593043327,
-0.0229157917201519,
0.014259236864745617,
0.02078787423670292,
0.01869933493435383,
0.01666896604001522,
0.008828210644423962,
-0.021298443898558617,
0.012110138311982155,
0.017754575237631798,
0.04423416778445244,
0.002710141008719802,
0.03732911869883537,
-0.04065217822790146,
0.06408217549324036,
0.04858800023794174,
0.07314565032720566,
-0.00046356869279406965,
0.021364960819482803,
-0.008280104957520962,
-0.05127496272325516,
0.03960275277495384,
-0.032420895993709564,
-0.012328184209764004,
-0.06516711413860321,
0.03707684576511383,
0.01932203397154808,
-0.07631675153970718,
-0.002112689893692732,
0.022147541865706444,
-0.06604281067848206,
-0.04218846186995506,
0.0002634288393892348,
0.00681893527507782,
0.0013851495459675789,
0.08485394716262817,
-0.003497388446703553,
0.03988632187247276,
0.07541625201702118,
0.02738870121538639,
-0.04596559330821037,
-0.006385724060237408,
0.07311128079891205,
0.07609058916568756,
0.04391580820083618,
-0.022048404440283775,
0.07954671233892441,
-0.040675774216651917,
-0.05158882215619087,
0.039945412427186966,
0.010703051462769508,
-0.011742046102881432,
-0.026773257181048393,
0.012457890436053276,
0.08042220771312714,
0.001990016782656312,
0.060525864362716675,
-0.036422185599803925,
-0.018996376544237137,
0.07907578349113464,
-0.0008811359293758869,
0.006084049586206675,
0.06152689456939697,
0.008335060440003872,
-0.01596616767346859,
-0.014589457772672176,
-0.014582764357328415,
-0.034638192504644394,
-0.021771257743239403,
0.021015604957938194,
0.011531000956892967,
0.0013247989118099213,
-0.011787505820393562,
-0.005897895898669958,
0.04457338526844978,
0.10239066928625107,
-0.050783976912498474,
-0.010230937041342258,
-0.006501346826553345,
-0.013991300016641617,
-0.027536125853657722,
0.016675086691975594,
-0.010130333714187145,
0.015499693341553211,
-0.020344451069831848,
-0.05069006606936455,
0.020779533311724663,
0.01963614486157894,
0.024403568357229233,
0.021716581657528877,
-0.0031854775734245777,
-0.03349069505929947,
0.03285381570458412,
0.026541342958807945,
-0.025885067880153656,
-0.03961534425616264,
-0.03781500831246376,
-0.021009035408496857,
-0.030994413420557976,
-0.042610280215740204,
-0.018434103578329086,
-0.028095370158553123,
-0.05295883119106293,
0.010583467781543732,
0.005091280676424503,
0.011761385947465897,
-0.005956506356596947,
-0.06217774748802185,
-0.026159709319472313,
0.030855173245072365,
-0.01592281088232994,
-0.012292264960706234,
0.019947664812207222,
0.024590028449892998,
-0.005556311924010515,
-0.04387117922306061,
0.017075086012482643,
0.019074056297540665,
0.010454535484313965,
-0.008062240667641163,
-0.019783463329076767,
-0.09549065679311752,
0.013447958044707775,
0.0016489292029291391,
-0.022911468520760536,
-0.06577003002166748,
0.028611961752176285,
-0.020466376096010208,
0.04679829999804497,
0.09031006693840027,
-0.004227551631629467,
0.037272050976753235,
-0.04178127646446228,
0.00473248865455389,
0.012806148268282413,
-0.0015851121861487627,
0.05885894224047661,
-0.04738367721438408,
0.04023590683937073,
0.036047324538230896,
-0.019184619188308716,
-0.02500506117939949,
0.043334539979696274,
0.014454707503318787,
-0.035397108644247055,
-0.009915455244481564,
-0.038848359137773514,
-0.003276125295087695,
-0.0973941907286644,
-0.025845032185316086,
0.02148170955479145,
-0.02847818285226822,
-0.030238676816225052,
0.009461184032261372,
-0.019908592104911804,
-0.028374873101711273,
0.022755438461899757,
-0.022784573957324028,
-0.003458066377788782,
-0.05690310522913933,
-0.040324874222278595,
-0.02998816780745983,
0.04802287742495537,
-0.05022953823208809,
0.048679597675800323,
-0.039775948971509933,
-0.030189672484993935,
-0.016499757766723633,
0.00009418949048267677,
0.030036507174372673,
0.014441990293562412,
-0.0029896930791437626,
-0.031783439218997955
] | null |
523 |
What If We Recaption Billions of Web Images with LLaMA-3?
|
https://openreview.net/forum?id=Hntp7s2YfF
|
[
"Xianhang Li",
"Haoqin Tu",
"Mude Hui",
"Zeyu Wang",
"Bingchen Zhao",
"Junfei Xiao",
"Sucheng Ren",
"Jieru Mei",
"Qing Liu",
"Huangjie Zheng",
"Yuyin Zhou",
"Cihang Xie"
] |
Poster
|
Web-crawled image-text pairs are inherently noisy. Prior studies demonstrate that semantically aligning and enriching textual descriptions of these pairs can significantly enhance model training across various vision-language tasks, particularly text-to-image generation. However, large-scale investigations in this area remain predominantly closed-source. Our paper aims to bridge this community effort, leveraging the powerful and $\textit{open-sourced}$ LLaMA-3, a GPT-4 level LLM. Our recaptioning pipeline is simple: first, we fine-tune a LLaMA-3-8B powered LLaVA-1.5 and then employ it to recaption ~1.3 billion images from the DataComp-1B dataset. Our empirical results confirm that this enhanced dataset, Recap-DataComp-1B, offers substantial benefits in training advanced vision-language models. For discriminative models like CLIP, we observe an average of 3.1% enhanced zero-shot performance cross four cross-modal retrieval tasks using a mixed set of the original and our captions. For generative models like text-to-image Diffusion Transformers, the generated images exhibit a significant improvement in alignment with users' text instructions, especially in following complex queries. Our project page is https://www.haqtu.me/Recap-Datacomp-1B/.
|
image-text datasets; synthetic captions
|
We propose Recap-DataComp-1B, the first publicly available image-text dataset with LLaMA-3–generated synthetic captions scaled to the billion level.
| 13,249 | null |
[
0.036140039563179016,
-0.019558489322662354,
-0.0099760377779603,
0.06379639357328415,
0.01762552000582218,
-0.0038554291240870953,
0.0353250727057457,
0.03534404933452606,
-0.008683357387781143,
-0.01569277048110962,
-0.04414896294474602,
0.029175331816077232,
-0.06705278158187866,
-0.01206421758979559,
0.0023044010158628225,
0.05214228853583336,
0.030625836923718452,
0.014921209774911404,
0.009703497402369976,
0.05465415120124817,
0.00212799571454525,
-0.024937829002738,
-0.01384754292666912,
-0.018025022000074387,
0.027772583067417145,
-0.006726776249706745,
0.01722004823386669,
0.006418348290026188,
-0.04610653966665268,
-0.003057749941945076,
0.023205285891890526,
-0.03964156284928322,
0.0035254107788205147,
-0.016613122075796127,
0.04075592756271362,
-0.04250036180019379,
-0.06749231368303299,
-0.007014617323875427,
0.035546377301216125,
0.031842075288295746,
-0.029437361285090446,
0.0017956523224711418,
-0.02121374011039734,
0.0018802765989676118,
-0.06637383997440338,
-0.03953211382031441,
-0.09415525943040848,
0.031351733952760696,
0.011255315504968166,
-0.008421109057962894,
-0.099544458091259,
0.04832298308610916,
-0.0072830598801374435,
0.0016286671161651611,
0.020573806017637253,
0.033386263996362686,
0.018860768526792526,
-0.0685739815235138,
-0.011657956056296825,
-0.024883154779672623,
-0.019230205565690994,
0.009744063019752502,
0.017827551811933517,
0.01287159975618124,
-0.0451173409819603,
-0.03875776007771492,
0.00580189935863018,
0.05608804523944855,
-0.048135410994291306,
-0.05998140573501587,
0.016044314950704575,
0.023802611976861954,
-0.026036027818918228,
0.010503139346837997,
-0.005166779272258282,
-0.03772502765059471,
-0.026238782331347466,
0.030226364731788635,
0.04677990451455116,
-0.0018965797498822212,
0.009958114475011826,
0.018832888454198837,
0.031328290700912476,
0.04198633134365082,
0.025957006961107254,
0.013756874017417431,
-0.046175722032785416,
-0.041890569031238556,
-0.07094129174947739,
0.03122325800359249,
-0.020446347072720528,
-0.04494696483016014,
-0.00583166116848588,
0.04681125283241272,
0.028408847749233246,
0.029822899028658867,
0.005839196499437094,
0.02948026731610298,
-0.018943369388580322,
0.0012947935611009598,
-0.01264775637537241,
-0.0356987863779068,
0.05541988089680672,
-0.006624897941946983,
-0.09650540351867676,
-0.025371164083480835,
-0.039778273552656174,
-0.0034980904310941696,
0.005870790220797062,
0.003452923148870468,
-0.012344272807240486,
-0.02555079385638237,
0.01557901781052351,
0.004652243573218584,
-0.05981934070587158,
0.013940433040261269,
0.001563920988701284,
0.003549073589965701,
-0.022668544203042984,
-0.0017493432387709618,
0.03105405531823635,
0.0430864579975605,
0.023166855797171593,
0.0735548660159111,
-0.024353984743356705,
0.01151293609291315,
0.02851484902203083,
0.01287950947880745,
-0.051346056163311005,
-0.004523383919149637,
0.0038241082802414894,
0.019777171313762665,
-0.0033957858104258776,
0.01774093508720398,
0.0031515415757894516,
-0.02918078564107418,
0.013556079939007759,
-0.008172452449798584,
0.04588423669338226,
-0.01686105504631996,
0.024521812796592712,
-0.0033925026655197144,
0.0411699116230011,
-0.013399399816989899,
0.11337991803884506,
0.005509403999894857,
-0.013472548685967922,
-0.013544494286179543,
-0.05132345110177994,
-0.0039773317985236645,
0.03726011887192726,
-0.007407734636217356,
0.0121629498898983,
-0.09208641946315765,
0.008850514888763428,
0.10108624398708344,
0.01635117083787918,
0.008490595035254955,
0.030113140121102333,
-0.004458598792552948,
0.01300576888024807,
-0.03829165920615196,
-0.046236079186201096,
0.030833177268505096,
-0.03990466147661209,
-0.05546628311276436,
0.010903754271566868,
0.0035541686229407787,
-0.032237641513347626,
0.02422199957072735,
-0.04597385972738266,
-0.03671974688768387,
0.04765709117054939,
-0.0009070251253433526,
-0.04634106531739235,
-0.009448060765862465,
0.07406174391508102,
0.039828214794397354,
0.02531348541378975,
0.0406520701944828,
-0.08081874251365662,
0.01926378160715103,
0.031351495534181595,
-0.023830797523260117,
0.022030917927622795,
-0.0026637143455445766,
0.08994491398334503,
-0.03561794012784958,
-0.004861209541559219,
0.011776469647884369,
-0.07754978537559509,
-0.0045660617761313915,
0.001161281717941165,
-0.0103532699868083,
0.05476759001612663,
0.01033621933311224,
0.018108906224370003,
0.05945277959108353,
0.05689521133899689,
0.04006655141711235,
0.045585934072732925,
-0.03397195413708687,
0.06453213840723038,
-0.03161358833312988,
-0.03601811081171036,
-0.01259476039558649,
0.031106166541576385,
-0.026420604437589645,
-0.044004328548908234,
0.0022657131776213646,
-0.058403611183166504,
0.027885382995009422,
0.01716025546193123,
0.030704347416758537,
0.010500169359147549,
0.032586533576250076,
0.01309465616941452,
-0.00485406955704093,
0.0025186159182339907,
-0.05187242850661278,
0.023521093651652336,
0.009384647943079472,
-0.02797100879251957,
-0.041368305683135986,
-0.025933852419257164,
0.10575353354215622,
0.03759235143661499,
-0.016795335337519646,
0.013515597209334373,
0.0122293746098876,
0.024846231564879417,
0.007962103001773357,
-0.010406787507236004,
-0.013669936917722225,
-0.03217713162302971,
-0.03671223297715187,
0.013495984487235546,
-0.028394781053066254,
0.042318668216466904,
-0.0315261036157608,
0.0016421842155978084,
0.04055526852607727,
0.005582666490226984,
0.032288745045661926,
0.013113350607454777,
0.013413378037512302,
0.03467433899641037,
-0.027850527316331863,
-0.03278590738773346,
-0.005408954340964556,
0.0010967808775603771,
0.016261128708720207,
-0.006134565453976393,
-0.012240003794431686,
0.021057378500699997,
-0.03346508741378784,
-0.054792389273643494,
-0.04741230979561806,
0.03758247569203377,
0.05032353103160858,
0.036690883338451385,
0.046063728630542755,
0.013709018938243389,
-0.014599866233766079,
-0.025448594242334366,
-0.09620565921068192,
-0.028751272708177567,
-0.03049294836819172,
0.03252844884991646,
0.007935348898172379,
0.06549776345491409,
0.03938484564423561,
0.022458361461758614,
-0.031282003968954086,
-0.0039506759494543076,
-0.007811348419636488,
0.037473730742931366,
0.006848454941064119,
-0.03722613304853439,
-0.031006304547190666,
-0.029154567047953606,
0.05183936282992363,
-0.05463356897234917,
-0.02144966833293438,
-0.036980047821998596,
-0.05262044444680214,
-0.005955193191766739,
-0.0340270958840847,
-0.012234478257596493,
0.0010654984507709742,
0.0389053113758564,
0.020609397441148758,
0.022380206733942032,
0.01125476323068142,
0.014265438541769981,
0.0380319282412529,
0.05191772058606148,
-0.05474843084812164,
-0.008306480944156647,
0.04861336573958397,
-0.015454654581844807,
0.013370588421821594,
0.031206008046865463,
0.01065466832369566,
0.02274787612259388,
-0.03635045886039734,
0.018082145601511,
-0.0010739185381680727,
-0.27700507640838623,
-0.0025574190076440573,
0.01787383481860161,
-0.007309746462851763,
0.034876786172389984,
-0.04580605775117874,
0.04293472319841385,
-0.05622554570436478,
0.011761410161852837,
0.005062979180365801,
0.018291238695383072,
0.028713418170809746,
0.008906232193112373,
0.03440312296152115,
0.05142059177160263,
0.03774644806981087,
0.013436583802103996,
-0.01643473654985428,
0.023711100220680237,
0.052188701927661896,
0.008439522236585617,
-0.06095276027917862,
-0.0298367477953434,
0.06794016063213348,
-0.02870861254632473,
0.0587313137948513,
-0.051990777254104614,
-0.018304457888007164,
-0.00887765921652317,
-0.013385037891566753,
0.016756830736994743,
-0.016398577019572258,
0.003096835222095251,
0.07308658957481384,
-0.022691333666443825,
0.011498103849589825,
0.08354721963405609,
-0.004206368234008551,
-0.011768030002713203,
-0.01788930781185627,
0.020414385944604874,
-0.020312132313847542,
-0.021408673375844955,
0.006019751075655222,
0.05786231905221939,
-0.015429796651005745,
-0.04624685272574425,
-0.026057809591293335,
-0.0056759812869131565,
0.019429488107562065,
-0.015359564684331417,
-0.027516618371009827,
-0.008581507951021194,
0.063106968998909,
0.014133703894913197,
-0.03763437643647194,
0.003213907591998577,
-0.00257353694178164,
-0.02538272924721241,
-0.025549940764904022,
0.012279866263270378,
-0.05570930242538452,
-0.043044403195381165,
-0.021692972630262375,
-0.03154006600379944,
-0.009157134220004082,
-0.01942380703985691,
-0.04505478963255882,
0.04429204389452934,
0.036721549928188324,
-0.05159097909927368,
0.040485821664333344,
-0.028436988592147827,
-0.08645036071538925,
0.031024642288684845,
0.012987331487238407,
-0.02552047185599804,
-0.005070475395768881,
-0.035927556455135345,
0.03572411835193634,
-0.009820294566452503,
-0.06408121436834335,
0.017305713146924973,
0.0031072464771568775,
0.017096102237701416,
-0.04831729084253311,
0.00431509455665946,
-0.04759962111711502,
0.030439354479312897,
-0.02844647318124771,
0.04598374664783478,
-0.0121500538662076,
-0.002174079418182373,
0.023626115173101425,
0.0359216146171093,
0.024799883365631104,
0.025061793625354767,
0.05669565871357918,
0.020169353112578392,
0.021420711651444435,
0.06554638594388962,
-0.0758514553308487,
0.002351373201236129,
-0.031682711094617844,
-0.026846902444958687,
0.016412857919931412,
-0.03327829763293266,
-0.015367523767054081,
0.03372642397880554,
-0.010834891349077225,
-0.061071258038282394,
-0.010081996209919453,
0.003852086141705513,
0.0021445113234221935,
-0.01962628774344921,
0.00365781644359231,
0.02288505993783474,
0.005333409179002047,
0.02806694060564041,
-0.03271082043647766,
0.013148006983101368,
0.015853671357035637,
-0.01671191118657589,
-0.007747379131615162,
-0.0033925066236406565,
-0.02839038521051407,
0.0051009776070714,
-0.014059505425393581,
-0.0208494421094656,
0.0018406696617603302,
0.013598457910120487,
-0.016079388558864594,
-0.002543466631323099,
0.010605252347886562,
0.06170325353741646,
-0.042948927730321884,
0.015753433108329773,
-0.01031870860606432,
0.0626290813088417,
-0.0086579704657197,
0.015386785380542278,
-0.028652599081397057,
-0.0025873484555631876,
0.05885487422347069,
-0.008383097127079964,
0.0008700259495526552,
0.01872001215815544,
0.010857488960027695,
-0.023993024602532387,
-0.002348268637433648,
0.014728907495737076,
-0.036402925848960876,
-0.04182632640004158,
-0.009989163838326931,
0.0298384428024292,
-0.0016566578997299075,
-0.015518070198595524,
-0.01038406416773796,
0.013167683966457844,
-0.05088699609041214,
0.04102713242173195,
0.022283518686890602,
-0.028674131259322166,
0.007035776041448116,
0.0031830896623432636,
0.021910028532147408,
0.02835100144147873,
-0.031979043036699295,
0.044130194932222366,
0.01726185344159603,
0.01730477064847946,
-0.023683207109570503,
-0.02979479357600212,
-0.024809380993247032,
-0.020983614027500153,
0.006063602399080992,
0.012026687152683735,
0.01760255917906761,
-0.026514310389757156,
0.08241254091262817,
-0.0009026270126923919,
-0.024867556989192963,
0.06059521809220314,
-0.007824089378118515,
0.0751032829284668,
0.04670276492834091,
-0.024294083938002586,
0.002134277718141675,
-0.049078330397605896,
0.043861255049705505,
0.0037430899683386087,
0.02418653666973114,
-0.030468514189124107,
-0.03479396924376488,
-0.04082349315285683,
-0.04348521679639816,
-0.01987832970917225,
0.021085014566779137,
0.005701838061213493,
-0.0030865268781781197,
-0.03124990500509739,
0.007703033275902271,
-0.047955770045518875,
-0.008176577277481556,
-0.009240132756531239,
-0.07060035318136215,
0.007306450046598911,
0.011999775655567646,
-0.013516601175069809,
0.009889839217066765,
0.016580604016780853,
-0.03772873803973198,
-0.05551537498831749,
-0.050196073949337006,
0.01929900236427784,
-0.024485277011990547,
-0.01286725327372551,
-0.013983136042952538,
0.004244734533131123,
-0.021643392741680145,
0.02887752652168274,
-0.018161343410611153,
-0.014762707985937595,
0.01968725584447384,
0.003721675369888544,
0.03941955044865608,
-0.029983701184391975,
-0.02889813482761383,
-0.006397056393325329,
-0.04282434284687042,
0.04047292098402977,
-0.07657128572463989,
0.004690659698098898,
0.07372835278511047,
-0.0029567969031631947,
0.021736489608883858,
-0.064857117831707,
0.03921189904212952,
0.03123512864112854,
0.016132742166519165,
0.027052026242017746,
-0.02548724226653576,
-0.008491888642311096,
0.03615604341030121,
0.016706962138414383,
0.02891327627003193,
0.002461428986862302,
0.01952619105577469,
-0.006295464932918549,
0.029612893238663673,
0.017707761377096176,
-0.009399852715432644,
-0.029051825404167175,
-0.008098005317151546,
0.03532225266098976,
-0.026559455320239067,
0.0019393961410969496,
-0.07073111087083817,
-0.061964478343725204,
0.030260173603892326,
0.014711168594658375,
0.03673474118113518,
-0.05318049341440201,
0.04716608673334122,
0.024676593020558357,
0.041116032749414444,
0.002229649806395173,
0.006080190185457468,
0.05121394991874695,
-0.027313781902194023,
-0.009978202171623707,
-0.046143580228090286,
-0.034960757941007614,
0.06586375832557678,
-0.032760344445705414,
-0.007614194415509701,
-0.03974902629852295,
-0.07055867463350296,
0.024284053593873978,
-0.029095355421304703,
-0.048040974885225296,
-0.009327268227934837,
-0.052973199635744095,
-0.007436645682901144,
0.011223290115594864,
-0.021044952794909477,
0.015087329782545567,
-0.02407136745750904,
-0.0316193513572216,
0.0009184725349768996,
-0.03514160215854645,
0.06655344367027283,
-0.01692952960729599,
0.0035597539972513914,
-0.008498189970850945,
-0.01633642427623272,
0.02753990702331066,
0.05060894042253494,
-0.004058648366481066,
0.023682981729507446,
0.011203021742403507,
0.06384138762950897,
0.003069354221224785,
-0.003247806802392006,
0.022451242431998253,
0.011016345582902431,
-0.01969081163406372,
-0.048422083258628845,
0.06174376979470253,
0.024772971868515015,
-0.036506880074739456,
-0.06143612414598465,
0.07100724428892136,
0.04456907883286476,
-0.03588743135333061,
-0.03908199444413185,
0.041597846895456314,
-0.030541928485035896,
0.01519980188459158,
-0.021808359771966934,
0.026842258870601654,
0.003035141620784998,
0.06565965712070465,
0.006522973999381065,
0.05229484662413597,
0.05051965266466141,
0.01359238475561142,
-0.008824234828352928,
0.019357655197381973,
0.035383205860853195,
0.036439381539821625,
0.08550016582012177,
-0.004832950886338949,
0.05090915039181709,
-0.016287965700030327,
-0.04033985361456871,
0.02239793911576271,
0.022904083132743835,
-0.004604768939316273,
-0.060934778302907944,
0.02881639078259468,
0.07623039186000824,
-0.018483776599168777,
0.03504300117492676,
-0.054270435124635696,
-0.03037944622337818,
0.02664174512028694,
-0.005500516854226589,
0.00811034720391035,
0.02916419319808483,
0.03273448720574379,
-0.024580692872405052,
-0.022112296894192696,
-0.024421310052275658,
0.009967731311917305,
-0.013489985838532448,
0.03345309942960739,
0.020796118304133415,
-0.016656743362545967,
-0.0005785223329439759,
-0.017321862280368805,
0.0765497013926506,
0.10656954348087311,
-0.02230655774474144,
-0.053178176283836365,
0.002503166440874338,
0.019787391647696495,
0.05177203565835953,
0.049339041113853455,
-0.0010981125524267554,
-0.020606398582458496,
-0.006135803647339344,
-0.04389151930809021,
0.02330559864640236,
0.0361994206905365,
-0.001748373149894178,
0.03219800069928169,
-0.05235635116696358,
-0.042391762137413025,
0.014730745926499367,
0.006327452138066292,
-0.07293492555618286,
-0.00488610565662384,
-0.02311027981340885,
-0.03964328393340111,
-0.056132927536964417,
-0.024635912850499153,
0.033976055681705475,
0.0020433785393834114,
-0.025414075702428818,
-0.017766118049621582,
-0.05746397376060486,
-0.0025669774040579796,
0.050131261348724365,
-0.047660939395427704,
0.02799004688858986,
0.03198704123497009,
0.007831649854779243,
-0.03356453776359558,
0.05675129592418671,
0.014889993704855442,
-0.023128239437937737,
-0.011702021583914757,
0.0360230952501297,
0.02629120461642742,
0.009425724856555462,
0.007706512231379747,
-0.03217374160885811,
-0.10832854360342026,
0.0008722886559553444,
0.02615310810506344,
-0.05109601840376854,
-0.08243945986032486,
0.0015319616068154573,
-0.029526466503739357,
0.006194585468620062,
0.05504171922802925,
-0.00966948363929987,
0.009684662334620953,
-0.03589426726102829,
-0.04572278633713722,
-0.02498248964548111,
0.033163417130708694,
0.05207458510994911,
0.0040111844427883625,
0.07733936607837677,
0.025803755968809128,
0.0071098776534199715,
-0.038730885833501816,
0.0014615262625738978,
0.018836114555597305,
0.030922558158636093,
-0.02359088696539402,
-0.030907373875379562,
-0.03298470750451088,
-0.06958113610744476,
-0.041058290749788284,
0.028179991990327835,
-0.016396189108490944,
-0.042585551738739014,
-0.005011054687201977,
-0.01403793878853321,
-0.03138851001858711,
-0.030735475942492485,
-0.017261449247598648,
-0.03101334534585476,
-0.031483668833971024,
-0.03168514370918274,
-0.06537732481956482,
0.03503096103668213,
-0.019754400476813316,
0.02693505585193634,
-0.0480482317507267,
-0.022435275837779045,
0.009916983544826508,
0.02156875468790531,
0.05872629955410957,
-0.006369158625602722,
0.019725875928997993,
-0.026258455589413643
] |
https://github.com/UCSC-VLAA/Recap-DataComp-1B
|
524 |
A Bregman Proximal Viewpoint on Neural Operators
|
https://openreview.net/forum?id=lzzPAQ1TxA
|
[
"Abdel-Rahim Mezidi",
"Jordan Patracone",
"Saverio Salzo",
"Amaury Habrard",
"Massimiliano Pontil",
"Rémi Emonet",
"Marc Sebban"
] |
Poster
|
We present several advances on neural operators by viewing the action of operator layers as the minimizers of Bregman regularized optimization problems over Banach function spaces. The proposed framework allows interpreting the activation operators as Bregman proximity operators from dual to primal space. This novel viewpoint is general enough to recover classical neural operators as well as a new variant, coined Bregman neural operators, which includes the inverse activation operator and features the same expressivity of standard neural operators. Numerical experiments support the added benefits of the Bregman variant of Fourier neural operators for training deeper and more accurate models.
|
neural operators, proximal optimization, bregman divergence, fourier neural operator
| null | 13,247 | null |
[
-0.06591084599494934,
0.006506247911602259,
-0.003490863600745797,
0.019415270537137985,
0.04722560569643974,
0.04379677399992943,
0.029380183666944504,
-0.005347321275621653,
-0.03207322582602501,
-0.03820687159895897,
-0.02325945720076561,
0.02710231952369213,
-0.05675027146935463,
-0.021126989275217056,
0.0014850395964458585,
0.06503718346357346,
0.03926519304513931,
-0.017963549122214317,
0.0006663885433226824,
0.027217429131269455,
-0.010272164829075336,
-0.022347474470734596,
0.042172905057668686,
0.01394115760922432,
0.017416149377822876,
-0.011446211487054825,
-0.0055995178408920765,
0.006443757563829422,
-0.024492941796779633,
-0.0033434596844017506,
0.0005044322460889816,
0.017108924686908722,
-0.019256634637713432,
-0.05242730677127838,
0.011885407380759716,
0.048447441309690475,
-0.04238559678196907,
0.006236839573830366,
-0.018153682351112366,
0.004264562390744686,
-0.03907928988337517,
-0.005949796177446842,
0.020548058673739433,
0.017186827957630157,
-0.08937408030033112,
0.030139295384287834,
-0.09204831719398499,
-0.0028782065492123365,
-0.008782843127846718,
-0.030475450679659843,
-0.07129396498203278,
0.04325225204229355,
-0.0032707112841308117,
-0.02722059190273285,
-0.002513324376195669,
0.05312303453683853,
0.024980735033750534,
-0.05074255168437958,
-0.01839696429669857,
-0.057408422231674194,
-0.022987132892012596,
0.04987823963165283,
0.021129176020622253,
-0.008449247106909752,
0.028968315571546555,
0.0275252815335989,
0.010711196810007095,
0.03418814763426781,
-0.048220764845609665,
-0.03988819196820259,
-0.027352970093488693,
0.01866731233894825,
0.0005723622743971646,
0.002394378185272217,
0.0032671925146132708,
-0.05302541330456734,
0.013709516264498234,
0.016559932380914688,
0.038246992975473404,
0.00966615229845047,
0.03614829108119011,
0.055565837770700455,
0.07017450034618378,
0.014315095730125904,
0.00850677490234375,
0.02305450662970543,
-0.012467200867831707,
-0.030108442530035973,
-0.06890315562486649,
0.04790342226624489,
-0.027798235416412354,
-0.03689222410321236,
0.0038450583815574646,
0.029640959575772285,
0.011816409416496754,
0.005742539651691914,
0.05602635070681572,
0.0012280187802389264,
0.00989694893360138,
0.00042997070704586804,
-0.01166535448282957,
-0.032330453395843506,
0.015176673419773579,
-0.03117475099861622,
-0.09546583890914917,
-0.05141357332468033,
-0.015142997726798058,
-0.00847228616476059,
-0.012058963999152184,
0.009917073883116245,
-0.06934569031000137,
0.038378387689590454,
0.0185698214918375,
-0.012582926079630852,
-0.08609972149133682,
0.0010708251502364874,
-0.011063223704695702,
0.014496886171400547,
0.006772642955183983,
-0.007306046783924103,
0.0689191222190857,
0.07354161143302917,
-0.0065496256574988365,
0.061907313764095306,
0.02460649237036705,
0.0014318182365968823,
0.015453440137207508,
0.05393582582473755,
-0.04501648247241974,
-0.06948551535606384,
0.010392721742391586,
0.03003174625337124,
0.023085160180926323,
0.02348722517490387,
0.00644814595580101,
0.00020993741054553539,
-0.02097886987030506,
-0.025240706279873848,
0.017573202028870583,
-0.0006670652073808014,
-0.013843548484146595,
-0.03197172284126282,
0.05380949750542641,
-0.05777749419212341,
0.06116938591003418,
-0.04604214429855347,
0.027875004336237907,
-0.048787157982587814,
-0.0308506079018116,
-0.0019542146474123,
0.003333699656650424,
-0.001955609070137143,
0.018392052501440048,
-0.057645026594400406,
-0.003722304943948984,
0.017614616081118584,
0.021497996523976326,
-0.0026474003680050373,
-0.00011049199383705854,
0.00824122317135334,
0.01713460497558117,
-0.029874807223677635,
-0.014449607580900192,
0.013819992542266846,
-0.02287532389163971,
-0.04749972000718117,
0.04410835728049278,
0.04523932561278343,
-0.02642790786921978,
0.026052312925457954,
-0.019784707576036453,
-0.06677792221307755,
0.05621488019824028,
0.018308814615011215,
-0.010406574234366417,
-0.030161527916789055,
0.053339146077632904,
0.007274231873452663,
0.0427568219602108,
0.005317735951393843,
-0.09129153192043304,
0.02052352949976921,
0.0007289788336493075,
0.028881391510367393,
0.010774568654596806,
-0.016112269833683968,
0.07197187840938568,
-0.05081740394234657,
0.018804311752319336,
0.030177725479006767,
-0.05384553596377373,
-0.01383988093584776,
-0.014066358096897602,
-0.04135964438319206,
0.07492949068546295,
0.026384292170405388,
-0.022168133407831192,
0.002302949083968997,
0.02335110865533352,
0.03461955115199089,
0.06342743337154388,
-0.06763822585344315,
0.05611865222454071,
0.00815222505480051,
-0.03146577253937721,
0.01285493653267622,
0.03412337973713875,
-0.06528321653604507,
-0.02050880715250969,
0.0385606549680233,
0.007254944182932377,
-0.004907338880002499,
-0.010153517127037048,
-0.004187168087810278,
0.029744120314717293,
-0.008973946794867516,
0.02418455295264721,
-0.017174672335386276,
0.043779581785202026,
-0.0313788577914238,
0.06703736633062363,
0.004047690890729427,
-0.012795034795999527,
0.03581519424915314,
0.026930101215839386,
0.10458257049322128,
0.07392726838588715,
-0.04453178122639656,
0.000005928372502239654,
-0.006547885946929455,
0.03715744987130165,
-0.011027825996279716,
-0.007551940158009529,
-0.004150279797613621,
0.03572866693139076,
0.011226095259189606,
-0.006009679287672043,
-0.028532182797789574,
0.07073365896940231,
-0.059933505952358246,
-0.023975027725100517,
0.04970904812216759,
-0.03623532876372337,
0.04981556907296181,
-0.015204749070107937,
-0.00222252425737679,
0.04764539748430252,
0.015990527346730232,
-0.030622579157352448,
-0.037455737590789795,
-0.011315223760902882,
-0.0027908291667699814,
-0.017340917140245438,
-0.024635640904307365,
0.0057810088619589806,
-0.03160211443901062,
0.01130416989326477,
-0.003518517594784498,
0.10143488645553589,
0.050923094153404236,
0.013239282183349133,
0.013635245151817799,
0.0016458446625620127,
-0.039661239832639694,
-0.05394766852259636,
-0.11272747069597244,
-0.060157373547554016,
0.0047022015787661076,
0.05278773233294487,
0.020840870216488838,
0.05412917584180832,
0.000748801336158067,
0.013576881028711796,
-0.013795807957649231,
-0.013551155105233192,
-0.0029571130871772766,
0.007034064270555973,
0.020395945757627487,
-0.054447922855615616,
-0.021991536021232605,
0.031797558069229126,
0.07842937111854553,
0.020068811252713203,
-0.0095952358096838,
-0.028426164761185646,
-0.08272407948970795,
-0.012976672500371933,
-0.028960946947336197,
-0.019626226276159286,
0.01275282260030508,
0.01104680448770523,
0.020748892799019814,
-0.019773561507463455,
0.0018693270394578576,
0.0197796318680048,
0.05891648679971695,
0.05564996227622032,
0.004636082332581282,
-0.01009771041572094,
0.01004836242645979,
-0.021574635058641434,
0.017234550788998604,
-0.009440062567591667,
-0.01839449442923069,
-0.0008184404578059912,
-0.0020061121322214603,
0.017266996204853058,
-0.009136304259300232,
-0.2630177140235901,
0.008983292616903782,
-0.004977891221642494,
-0.018676351755857468,
0.03662797808647156,
-0.0005462125409394503,
0.022151120007038116,
-0.03258877247571945,
-0.024230318143963814,
0.026127086952328682,
-0.028270257636904716,
0.017451250925660133,
-0.01521972194314003,
0.04120827838778496,
0.030134612694382668,
0.01315538864582777,
-0.0024300250224769115,
-0.005358595866709948,
0.003634246764704585,
0.01707792840898037,
-0.02799735777080059,
-0.058921925723552704,
0.005809804890304804,
0.03261030837893486,
0.0021022281143814325,
0.058040451258420944,
-0.05203084647655487,
0.012222104705870152,
-0.04381315037608147,
-0.0047242590226233006,
-0.019998984411358833,
-0.01518820971250534,
0.020251955837011337,
0.03663355112075806,
0.002019379986450076,
0.012475396506488323,
-0.017790239304304123,
-0.03004399500787258,
0.01824905537068844,
0.007562249433249235,
-0.003088203025981784,
0.03576809912919998,
-0.02239742875099182,
0.01758551225066185,
0.05982162058353424,
0.018787991255521774,
-0.00559617206454277,
0.005869019776582718,
-0.002383534098044038,
0.024220386520028114,
-0.01096672099083662,
-0.00860845297574997,
0.007181691005825996,
0.009261616505682468,
0.002854268066585064,
-0.03546372428536415,
0.010066108778119087,
-0.024356357753276825,
-0.006717579439282417,
0.036625999957323074,
-0.007202833890914917,
-0.06456705182790756,
-0.008210637606680393,
-0.03313714265823364,
-0.03322160989046097,
-0.022351616993546486,
-0.03982928395271301,
-0.08792293816804886,
0.05657491832971573,
0.03153519332408905,
0.02488020993769169,
0.01695779152214527,
-0.03311673551797867,
-0.0767383724451065,
0.00331818382255733,
-0.004679463803768158,
-0.016978979110717773,
-0.04116090387105942,
0.01950909197330475,
0.056065041571855545,
-0.040611542761325836,
-0.06765326112508774,
0.010326863266527653,
0.0251776110380888,
-0.022178711369633675,
-0.012410888448357582,
0.013314295560121536,
-0.016573656350374222,
-0.03906633332371712,
-0.022408880293369293,
0.03660548850893974,
0.016300257295370102,
0.03888816758990288,
-0.0259473267942667,
0.03832687437534332,
0.025625329464673996,
0.010370534844696522,
0.05051128566265106,
0.0136729646474123,
-0.01216613594442606,
0.023653589189052582,
-0.09761060774326324,
-0.018327869474887848,
-0.04409385100007057,
-0.0015970804961398244,
0.027117740362882614,
-0.030467258766293526,
-0.01210633385926485,
0.020856354385614395,
0.020177120342850685,
0.0054496158845722675,
-0.05483367666602135,
0.02222202531993389,
-0.01717417500913143,
-0.005018356256186962,
-0.016003279015421867,
-0.04692761227488518,
0.04038158804178238,
0.01819477416574955,
0.004366161767393351,
-0.0274659413844347,
0.011120162904262543,
-0.026508793234825134,
-0.012274449691176414,
0.014029082842171192,
0.0017700353637337685,
-0.016621999442577362,
-0.036333367228507996,
0.025157129392027855,
-0.03043999895453453,
0.05485988408327103,
0.0472005158662796,
0.022565200924873352,
0.024143818765878677,
0.05868319422006607,
0.0019030034309253097,
-0.005917562171816826,
-0.032675664871931076,
0.021526236087083817,
-0.005102211143821478,
0.02784750424325466,
0.0020156665705144405,
0.03521031513810158,
-0.006987446453422308,
-0.0005818892968818545,
0.03264351189136505,
0.012990718707442284,
-0.02314315177500248,
-0.02383827045559883,
-0.018965385854244232,
0.04727307707071304,
-0.04328150302171707,
-0.02289751172065735,
-0.028564313426613808,
0.010497652925550938,
-0.0013955916510894895,
0.041191451251506805,
0.0069159939885139465,
0.0377371720969677,
-0.06886283308267593,
0.0657302737236023,
0.035506464540958405,
-0.031691424548625946,
0.0034454762935638428,
0.0186920128762722,
0.04797443002462387,
-0.02533719874918461,
-0.030555345118045807,
0.02600480616092682,
0.011516349390149117,
0.06067780777812004,
0.0012726314598694444,
-0.021525375545024872,
-0.03833463042974472,
-0.012571396306157112,
-0.010276101529598236,
-0.0022436256986111403,
-0.005544060841202736,
-0.021833833307027817,
0.03072359599173069,
0.030048904940485954,
-0.0024328092113137245,
-0.014063629321753979,
0.04761311784386635,
0.08659049868583679,
0.008276054635643959,
0.00595987169072032,
-0.016885902732610703,
-0.007938254624605179,
0.02168452925980091,
-0.009869075380265713,
-0.0006425455794669688,
-0.041008178144693375,
-0.027858629822731018,
-0.02812081202864647,
-0.04017877206206322,
0.01889003813266754,
0.020290838554501534,
-0.05710044875741005,
-0.01215683575719595,
-0.006192552391439676,
-0.009803315624594688,
-0.08010432869195938,
0.0028758642729371786,
0.014289145357906818,
-0.08421877771615982,
0.00729223620146513,
0.03382246196269989,
-0.054319508373737335,
0.014940125867724419,
-0.01112361904233694,
-0.023308519273996353,
-0.04565497115254402,
-0.01785486377775669,
0.013365249149501324,
-0.030410535633563995,
-0.029882261529564857,
-0.0074452306143939495,
0.01339659933000803,
-0.002796812215819955,
-0.010922013781964779,
-0.013464302755892277,
0.01129165943711996,
-0.0048087420873343945,
-0.0024924729950726032,
0.05179718881845474,
-0.027312742546200752,
0.006866863928735256,
0.003919928800314665,
-0.04554802551865578,
0.007504407782107592,
-0.05782819539308548,
-0.006949036847800016,
0.05815870314836502,
-0.0073753404431045055,
-0.00010543716780375689,
-0.06220152974128723,
0.024695811793208122,
-0.04914998263120651,
-0.013224547728896141,
0.01261104829609394,
0.007110516540706158,
-0.050743505358695984,
0.01772124506533146,
-0.004682747647166252,
0.047385286539793015,
0.039630431681871414,
-0.027495278045535088,
0.00723944092169404,
0.02513386681675911,
0.04959569498896599,
0.01630975678563118,
-0.079134501516819,
-0.012557794339954853,
0.0733451098203659,
-0.04192174971103668,
-0.03436838462948799,
-0.07490680366754532,
0.011256277561187744,
0.008024527691304684,
-0.016107747331261635,
0.021481631323695183,
-0.03855497017502785,
0.049203190952539444,
0.0020864650141447783,
0.03399381786584854,
0.013337057083845139,
-0.008649091236293316,
0.05266888812184334,
-0.05226561799645424,
-0.0032817963510751724,
-0.04804139956831932,
-0.03606409206986427,
0.05963187664747238,
-0.015148830600082874,
0.03813142701983452,
-0.0011393391760066152,
-0.008316472172737122,
0.04458950459957123,
-0.043052226305007935,
-0.058347947895526886,
0.031230682507157326,
-0.03994055092334747,
-0.04676393046975136,
0.015181811526417732,
-0.058318670839071274,
-0.014114940539002419,
-0.0053636180236935616,
-0.06140114739537239,
0.006752205081284046,
0.017892561852931976,
0.033595651388168335,
-0.013385624624788761,
-0.01838350109755993,
-0.021334195509552956,
0.020000098273158073,
0.04368547350168228,
0.05785404518246651,
0.026054775342345238,
-0.003875668626278639,
-0.053281910717487335,
0.03927908092737198,
0.008219163864850998,
0.019356800243258476,
-0.005034766625612974,
0.04972275346517563,
0.0034303274005651474,
-0.04894942790269852,
0.003923166077584028,
-0.006082835141569376,
-0.015980444848537445,
-0.06794010102748871,
0.01883760467171669,
0.03195783495903015,
-0.011946413666009903,
-0.002569524571299553,
0.04424288496375084,
-0.031547848135232925,
0.00044647205504588783,
0.014001199044287205,
-0.01731109246611595,
0.004276847001165152,
0.048717014491558075,
0.003165939124301076,
-0.004122756887227297,
0.06932119280099869,
0.001701432978734374,
-0.006436688359826803,
-0.025464588776230812,
0.08701818436384201,
0.05898967385292053,
0.04101041704416275,
0.0023846356198191643,
0.05986923724412918,
-0.04563353583216667,
-0.06411462277173996,
0.0011560246348381042,
0.02194048836827278,
0.005147554911673069,
-0.025069348514080048,
-0.020882749930024147,
0.1180349588394165,
-0.0017319493927061558,
0.06469106674194336,
-0.02803707681596279,
0.00587787851691246,
0.031406156718730927,
0.003462905529886484,
-0.03467562049627304,
0.012103482149541378,
0.023491250351071358,
0.017480051144957542,
-0.01046263612806797,
-0.02583552524447441,
-0.024605561047792435,
-0.0009973421692848206,
0.03254423663020134,
0.019151024520397186,
0.011773373931646347,
0.02658752351999283,
0.006710866466164589,
0.018577996641397476,
0.09082244336605072,
-0.07224851101636887,
-0.04480160400271416,
0.015405375510454178,
0.022532757371664047,
-0.004139707423746586,
0.02914058417081833,
0.031227175146341324,
-0.022361619397997856,
0.017499716952443123,
-0.01635219343006611,
0.03702352195978165,
0.039975449442863464,
0.0020420104265213013,
0.02968023531138897,
-0.04476943239569664,
-0.04159332439303398,
-0.007852918468415737,
0.059238001704216,
0.001877122325822711,
-0.05715523660182953,
-0.04394488036632538,
-0.03982150927186012,
-0.05415107309818268,
-0.07205568253993988,
0.03365152329206467,
-0.010384773835539818,
-0.05274825170636177,
0.009173118509352207,
-0.009748411364853382,
0.012312376871705055,
0.03477722033858299,
-0.0589197501540184,
-0.004671988543123007,
0.013774853199720383,
0.007845491170883179,
0.020583273842930794,
0.03769848868250847,
0.06768805533647537,
0.0022647830191999674,
-0.000007705003554292489,
0.04946880415081978,
0.004747576080262661,
0.013522365130484104,
-0.03288678824901581,
0.020185081288218498,
-0.08000114560127258,
0.032679636031389236,
0.025356220081448555,
-0.046919405460357666,
-0.0736764669418335,
0.0443243570625782,
-0.019992806017398834,
0.016487879678606987,
0.044985029846429825,
-0.025739191100001335,
-0.00651494599878788,
-0.04579280689358711,
-0.014718757942318916,
-0.02420552633702755,
-0.006070636212825775,
0.0506284199655056,
0.0024150763638317585,
0.06262363493442535,
0.027842644602060318,
-0.0008434567716903985,
-0.02177147939801216,
0.040996257215738297,
-0.020808951929211617,
0.033337805420160294,
-0.04236690327525139,
-0.02601020224392414,
-0.010410299524664879,
-0.13412314653396606,
-0.03187556564807892,
0.013499224558472633,
0.01319038961082697,
-0.07622639834880829,
0.012955013662576675,
0.03054722025990486,
0.009914898313581944,
-0.0014113825745880604,
0.0041158730164170265,
-0.021508656442165375,
-0.02912382036447525,
-0.02684241719543934,
-0.048543449491262436,
0.020724065601825714,
0.017118940129876137,
-0.0006443829042837024,
-0.03649686276912689,
-0.04527091607451439,
-0.04191349074244499,
-0.0024781934916973114,
0.011960982345044613,
0.04743935167789459,
0.017798500135540962,
-0.004951484501361847
] |
https://github.com/armezidi/bregmano
|
525 |
On the Robustness of Reward Models for Language Model Alignment
|
https://openreview.net/forum?id=Tf4lRAOGkj
|
[
"Jiwoo Hong",
"Noah Lee",
"Eunki Kim",
"Guijin Son",
"Woojin Chung",
"Aman Gupta",
"Shao Tang",
"James Thorne"
] |
Poster
|
The Bradley-Terry (BT) model is widely practiced in reward modeling for reinforcement learning with human feedback (RLHF). Despite its effectiveness, reward models (RMs) trained with BT model loss as one-way classifiers are prone to over-optimization, losing generalizability to unseen inputs. In this paper, we study the cause of over-optimization and its downstream effects on the RLHF procedure, highlighting the importance of robustness in RMs. First, we show that the excessive dispersion of hidden state norms is the main source of over-optimization. Correspondingly, we propose batch-wise sum-to-zero regularization (BSR) that enforces reward sum for each batch to be zero-centered, constraining the rewards with abnormally large magnitudes. We assess the impact of BSR in improving robustness in RMs through four scenarios of over-optimization, where BSR consistently manifests better robustness on unseen inputs. Then, we compare the plain BT model and BSR on RLHF training and empirically show that robust RMs better align the policy to the gold preference model. Finally, we apply BSR to high-quality data and models, which surpasses state-of-the-art RMs in the 8B scale by adding more than 5\% in complex preference prediction tasks. By conducting RLOO training with 8B RMs, AlpacaEval 2.0, with reducing generation length by 40\% while adding a 7\% increase in win rate, further highlights that robustness in RMs induces robustness in RLHF training.
|
RLHF, Reward modeling, Over-optimization
|
We analyze the Bradley-Terry model as a source of reward model over-optimization and propose batch-wise sum-to-zero (BatchSum) regularization,
| 13,241 |
2505.07271
|
[
-0.011945483274757862,
-0.008197779767215252,
0.011076022870838642,
0.06024272367358208,
0.027706583961844444,
0.010177597403526306,
0.02976551465690136,
0.025803444907069206,
-0.03929833695292473,
-0.021343616768717766,
-0.029706193134188652,
0.05149504542350769,
-0.07066373527050018,
-0.024819519370794296,
0.003200864652171731,
0.05026155337691307,
0.040639955550432205,
0.009163018316030502,
-0.013113923370838165,
-0.005525636021047831,
0.019872214645147324,
0.015596608631312847,
0.02701578661799431,
0.007879873737692833,
0.0397321954369545,
0.01982121914625168,
0.02074311673641205,
0.010758833028376102,
-0.0292415302246809,
-0.009139503352344036,
0.04270186647772789,
-0.041418589651584625,
0.023335162550210953,
-0.0014072948833927512,
0.004591732285916805,
0.0004087959532625973,
-0.03313053771853447,
0.018525661900639534,
0.013779019005596638,
-0.00391744077205658,
-0.028809383511543274,
0.012351498007774353,
-0.024856798350811005,
-0.010640297085046768,
-0.03452720865607262,
0.033910539001226425,
-0.09749622642993927,
0.020234933122992516,
0.03723900020122528,
-0.07127566635608673,
-0.08741369843482971,
0.06436344981193542,
0.01199393067508936,
-0.030462339520454407,
0.01925709657371044,
0.019058067351579666,
0.0269450806081295,
-0.08136606216430664,
-0.01782522164285183,
-0.06242278218269348,
-0.030072830617427826,
0.024461068212985992,
-0.0028968246188014746,
-0.008323351852595806,
0.0008697872399352491,
0.021383967250585556,
0.0030139132868498564,
0.011443712748587132,
-0.01926330290734768,
-0.019192839041352272,
-0.026399314403533936,
-0.03644509240984917,
0.020385747775435448,
0.01480216346681118,
-0.024767201393842697,
-0.05515545979142189,
0.019744081422686577,
0.040474046021699905,
0.05107704550027847,
-0.004316873848438263,
0.009775424376130104,
0.010619780980050564,
0.03063383884727955,
0.028266998007893562,
0.018356166779994965,
-0.0011506732553243637,
-0.012502966448664665,
-0.06231515109539032,
-0.08948877453804016,
0.03302966058254242,
-0.02748863771557808,
-0.046763092279434204,
-0.006870974320918322,
0.03956598788499832,
-0.012691580690443516,
0.003965355455875397,
-0.0022370072547346354,
0.0333985909819603,
-0.023155489936470985,
0.009408188052475452,
-0.03704395890235901,
-0.04504279047250748,
0.020223010331392288,
-0.004886966664344072,
-0.12996552884578705,
-0.012547574937343597,
-0.023294372484087944,
0.013644600287079811,
-0.003815093543380499,
0.01649320311844349,
-0.04786579683423042,
0.00821017473936081,
0.02754344791173935,
-0.013007225468754768,
-0.062089886516332626,
0.018692128360271454,
-0.035432979464530945,
0.03639620169997215,
0.0018963069887831807,
0.0005304800579324365,
0.031577058136463165,
0.01293296180665493,
-0.0093055609613657,
0.07282707840204239,
-0.0065813069231808186,
-0.004675820469856262,
0.012122116982936859,
0.037403371185064316,
-0.04025506228208542,
-0.024678220972418785,
0.017741190269589424,
0.05388568341732025,
0.0060355691239237785,
0.02364935725927353,
-0.01580444537103176,
0.0007701441063545644,
0.017211899161338806,
0.005662659648805857,
0.03705662488937378,
0.009327413514256477,
-0.006777506787329912,
0.003943868447095156,
0.068311408162117,
-0.02579982951283455,
0.06693346798419952,
0.011395484209060669,
-0.028691431507468224,
-0.013809322379529476,
-0.016352135688066483,
0.006594452075660229,
0.033436547964811325,
-0.025788284838199615,
-0.012811070308089256,
-0.06570915132761002,
0.03386871889233589,
0.038425374776124954,
0.002396812429651618,
-0.0181963462382555,
0.02390754222869873,
0.010522756725549698,
-0.023586289957165718,
0.00516380462795496,
-0.0225526113063097,
-0.022054050117731094,
0.00031063356436789036,
-0.06107591092586517,
0.06610459834337234,
0.013406600803136826,
-0.039812278002500534,
0.015131878666579723,
-0.03912440314888954,
-0.018546301871538162,
0.055293112993240356,
-0.018029075115919113,
-0.028671545907855034,
-0.011804254725575447,
0.06672774255275726,
0.0019155817572027445,
0.05332155153155327,
0.03570769354701042,
-0.08391211181879044,
0.07694488763809204,
0.016151102259755135,
0.010266423225402832,
0.0090172179043293,
-0.04803840070962906,
0.08019834756851196,
-0.03499541059136391,
0.04585795849561691,
0.046283237636089325,
-0.07785183191299438,
0.0012941188178956509,
0.04168587923049927,
-0.014383980073034763,
0.07710076123476028,
-0.0011446321150287986,
-0.00014503106649499387,
0.054691851139068604,
0.03164156153798103,
0.04223040118813515,
0.07595890760421753,
-0.017566168680787086,
0.015947813168168068,
-0.012595581822097301,
-0.027951283380389214,
-0.0004569938173517585,
0.028332611545920372,
-0.05143096670508385,
-0.02329494059085846,
0.03062792494893074,
-0.031308840960264206,
0.01798408478498459,
-0.005618013441562653,
0.018529804423451424,
0.03050774149596691,
-0.03153321146965027,
0.0026065902784466743,
0.0012051730882376432,
0.01160563062876463,
-0.06157448887825012,
0.041656192392110825,
0.009077007882297039,
-0.012976370751857758,
0.01050522644072771,
-0.03531531244516373,
0.0863962471485138,
0.0642341673374176,
0.0027086641639471054,
-0.010198129341006279,
0.0239922683686018,
0.0006933961994946003,
0.01843835599720478,
0.020224370062351227,
-0.03287150710821152,
0.030072525143623352,
0.0062460084445774555,
-0.012384822592139244,
-0.044088780879974365,
0.047237738966941833,
-0.023999322205781937,
-0.019353017210960388,
0.07339915633201599,
-0.01660100556910038,
0.03765390068292618,
-0.0014605076285079122,
0.007401845883578062,
0.028257140889763832,
0.03376663476228714,
-0.01967378705739975,
-0.026342986151576042,
-0.0438942052423954,
0.015446614474058151,
0.007384961005300283,
-0.019820978865027428,
0.014636965468525887,
-0.024194320663809776,
-0.006668250076472759,
-0.01780443824827671,
0.0461360365152359,
0.06481954455375671,
0.0063302177004516125,
0.023910842835903168,
-0.04839570075273514,
-0.057966411113739014,
0.0010782759636640549,
-0.0821947455406189,
-0.029028020799160004,
-0.016977740451693535,
0.010592333972454071,
0.025520717725157738,
0.002265417482703924,
-0.006890776567161083,
0.023606956005096436,
-0.033983226865530014,
-0.005090693943202496,
0.019903700798749924,
0.04270104691386223,
0.03299203887581825,
-0.03494706004858017,
-0.004376126918941736,
-0.0033242888748645782,
0.03652559965848923,
-0.030145185068249702,
-0.015193074010312557,
-0.022972317412495613,
-0.06507854163646698,
-0.013250075280666351,
-0.04236112907528877,
-0.0055298591032624245,
0.004560972098261118,
-0.006681106053292751,
0.02260204777121544,
-0.00724832434207201,
0.013867027126252651,
0.013781949877738953,
0.04797101393342018,
0.07107853889465332,
0.03927440941333771,
-0.01259010098874569,
0.022618059068918228,
0.001404882874339819,
0.014503492042422295,
-0.01407234650105238,
0.01782306842505932,
0.026176253333687782,
-0.008775844238698483,
-0.006103101186454296,
-0.010559484362602234,
-0.2821606993675232,
-0.029512455686926842,
0.016288749873638153,
0.0034528332762420177,
0.017018014565110207,
-0.006781678646802902,
0.045269474387168884,
-0.015740668401122093,
-0.029042372480034828,
-0.00014570943312719464,
0.022111499682068825,
0.02172379568219185,
0.012556405737996101,
0.057043660432100296,
0.07622344046831131,
0.03677331283688545,
0.00491546094417572,
-0.022881431505084038,
0.0007484000525437295,
0.03198212385177612,
-0.0189351849257946,
-0.08297516405582428,
-0.03637278452515602,
0.03855428099632263,
0.0016546746483072639,
0.07410353422164917,
-0.07375817745923996,
-0.02543797343969345,
-0.04552089795470238,
-0.016205117106437683,
-0.02421349473297596,
-0.009218642488121986,
-0.007485027424991131,
0.018754901364445686,
0.03437037020921707,
0.009190324693918228,
0.0045697614550590515,
-0.014736080542206764,
0.04240007698535919,
0.04097766429185867,
0.002444849582388997,
-0.013247312977910042,
-0.030983151867985725,
0.014709597453474998,
0.08112908154726028,
0.02477266639471054,
-0.04438363388180733,
-0.012606510892510414,
-0.017780853435397148,
0.022003572434186935,
-0.016472352668642998,
-0.028429478406906128,
-0.010468188673257828,
0.02783195674419403,
0.037417978048324585,
0.0022492026910185814,
-0.004412447102367878,
-0.03566344827413559,
-0.018833501264452934,
-0.0104559026658535,
-0.0032162063289433718,
-0.04261079058051109,
-0.022682202979922295,
-0.023792553693056107,
-0.029576251283288002,
-0.030219687148928642,
-0.02968156896531582,
-0.025841889902949333,
0.0286310613155365,
0.04399319738149643,
-0.0340462327003479,
-0.005355857778340578,
0.009938989765942097,
-0.08325696736574173,
0.010668549686670303,
-0.015154091641306877,
-0.02953585982322693,
-0.009158461354672909,
-0.006084595341235399,
0.043542567640542984,
-0.043672993779182434,
-0.04482520371675491,
0.01620471477508545,
0.0005637188442051411,
0.03507012128829956,
-0.020874982699751854,
0.03058684431016445,
-0.013093667104840279,
-0.012722428888082504,
-0.03263324871659279,
0.05468905344605446,
0.006585268769413233,
0.0029080859385430813,
0.008209649473428726,
0.07142622023820877,
0.020109225064516068,
0.03033369965851307,
0.019179172813892365,
0.03077084757387638,
0.007589099928736687,
0.0019759233109652996,
-0.0803040936589241,
-0.008304541930556297,
-0.04962066933512688,
-0.05598040297627449,
0.04077542945742607,
-0.07002412527799606,
-0.038056597113609314,
0.005772117991000414,
-0.008671865798532963,
-0.023848220705986023,
-0.0313415490090847,
-0.007686067372560501,
-0.0019996955525130033,
-0.014842291362583637,
0.001014367095194757,
-0.015232364647090435,
0.020833417773246765,
0.031303368508815765,
0.01822012849152088,
-0.02571110427379608,
0.030068010091781616,
-0.027510058134794235,
0.004883391782641411,
0.0016682976856827736,
-0.002341322135180235,
-0.004663584288209677,
-0.00203529535792768,
-0.012131622061133385,
-0.01789151132106781,
0.03942862153053284,
0.03379185125231743,
0.006313773803412914,
0.014951425604522228,
0.04881862550973892,
0.0191704910248518,
-0.02178453654050827,
-0.021755853667855263,
0.050221726298332214,
-0.04637526348233223,
0.0022857978474348783,
-0.005419066175818443,
0.03645647317171097,
0.03224136307835579,
0.014210090972483158,
0.00404575327411294,
0.009221456944942474,
-0.0036419848911464214,
0.010309701785445213,
0.014877025038003922,
0.04759499058127403,
-0.06638670712709427,
-0.011614609509706497,
-0.045208290219306946,
0.013034986332058907,
-0.0014602822484448552,
0.03432800993323326,
-0.017426010221242905,
0.017836080864071846,
-0.0689091756939888,
0.053198691457509995,
0.00621188897639513,
-0.012945502065122128,
0.025883406400680542,
0.0292400773614645,
0.034175045788288116,
-0.03870764002203941,
-0.025641102343797684,
-0.010370868258178234,
0.04034825786948204,
0.029523929581046104,
-0.03061985969543457,
-0.02404157817363739,
-0.02206774428486824,
-0.039123110473155975,
-0.033856101334095,
0.013485537841916084,
-0.035616666078567505,
-0.0292697474360466,
0.027825893834233284,
-0.00570899760350585,
-0.02491728775203228,
-0.005852960515767336,
-0.0009820001432672143,
0.07299473136663437,
0.011967422440648079,
0.015062069520354271,
-0.008108892478048801,
-0.03043484129011631,
0.02313963882625103,
-0.01562377531081438,
0.030911536887288094,
-0.018222292885184288,
-0.020321551710367203,
-0.03231927752494812,
-0.054195307195186615,
0.012960040010511875,
-0.0014943719143047929,
-0.002418747404590249,
0.007057975511997938,
-0.02471691556274891,
0.010200857184827328,
-0.028219571337103844,
-0.008593575097620487,
0.04873141646385193,
-0.0757366418838501,
0.0017168967751786113,
0.03474979102611542,
-0.002707968931645155,
0.03514208644628525,
-0.047657664865255356,
-0.061123043298721313,
-0.06639200448989868,
-0.00833063293248415,
0.029148072004318237,
-0.024902859702706337,
-0.03385058045387268,
-0.03255930915474892,
-0.01220669411122799,
0.004450323060154915,
0.022005261853337288,
-0.05065456032752991,
-0.001207601511850953,
-0.0021695769391953945,
0.00020362419309094548,
0.043877746909856796,
-0.04179943725466728,
-0.0342591293156147,
0.000547971751075238,
-0.016538983210921288,
0.013470427133142948,
-0.03853164613246918,
0.02549833618104458,
0.05159173905849457,
-0.019584061577916145,
0.015352563001215458,
-0.07306674122810364,
0.04579860344529152,
-0.014112038537859917,
-0.054261885583400726,
0.006466378457844257,
0.03146817162632942,
-0.004309476353228092,
0.000022791276933276094,
-0.02118702605366707,
0.010582517832517624,
0.02202538214623928,
0.019000453874468803,
0.021588867530226707,
0.014347129501402378,
0.031841181218624115,
0.022761384025216103,
-0.05118013545870781,
0.002677210373803973,
0.05197423696517944,
-0.009092885069549084,
-0.029925646260380745,
-0.06201738491654396,
-0.027155801653862,
0.03462674468755722,
-0.013812905177474022,
0.045717135071754456,
-0.05329239368438721,
0.016540400683879852,
0.01302540022879839,
0.04605573043227196,
0.004156787414103746,
-0.019654449075460434,
0.027567721903324127,
-0.0796244814991951,
-0.002824844792485237,
-0.047439269721508026,
-0.031195858493447304,
0.05851436406373978,
-0.0425785668194294,
-0.001949135446920991,
0.02080472558736801,
-0.04360036924481392,
0.028174052014946938,
-0.015091199427843094,
-0.053469154983758926,
0.02636870928108692,
-0.02652575448155403,
-0.03589247167110443,
0.05037056282162666,
-0.04457884281873703,
-0.03354978188872337,
-0.03239157050848007,
-0.015216691419482231,
0.004685597028583288,
0.032213244587183,
0.05710652470588684,
-0.023722223937511444,
0.030257757753133774,
-0.050098713487386703,
0.009559516794979572,
0.0358293242752552,
0.04820885509252548,
0.0324915274977684,
0.036171816289424896,
-0.03693762794137001,
0.05303918197751045,
0.025796309113502502,
0.0409945584833622,
-0.0006910379161126912,
0.029489627107977867,
-0.005533791147172451,
-0.053536295890808105,
0.0528176985681057,
-0.02584609016776085,
-0.014074444770812988,
-0.01950170285999775,
0.07200431823730469,
0.026090387254953384,
-0.06590258330106735,
-0.035061437636613846,
0.04720328748226166,
-0.036035701632499695,
-0.03240909427404404,
0.011787348426878452,
0.006695695221424103,
-0.030563611537218094,
0.08421448618173599,
0.04286205768585205,
0.06342843174934387,
0.08933994919061661,
-0.023143410682678223,
-0.021726027131080627,
0.039228405803442,
0.05899709463119507,
0.046924810856580734,
0.0682152733206749,
-0.007777232676744461,
0.058089178055524826,
-0.07247622311115265,
-0.04340578243136406,
0.030487744137644768,
0.045017607510089874,
-0.022836316376924515,
-0.033852990716695786,
0.0009898339631035924,
0.055244918912649155,
-0.019209494814276695,
0.06991352140903473,
-0.041225235909223557,
-0.013388875871896744,
0.02181190997362137,
-0.01737320050597191,
-0.02818967029452324,
0.04675367847084999,
0.032186705619096756,
0.01238460373133421,
-0.021967697888612747,
-0.0033538134302943945,
0.021396981552243233,
-0.011145781725645065,
0.013112262822687626,
0.01655375398695469,
-0.016677536070346832,
-0.0046735708601772785,
0.00526347616687417,
0.0433681383728981,
0.11227812618017197,
-0.044271714985370636,
-0.005933103151619434,
0.0172517579048872,
0.012506235390901566,
0.0018273595487698913,
0.04471243917942047,
0.0030388697050511837,
-0.03644396737217903,
0.0019813841208815575,
-0.043146565556526184,
-0.018393343314528465,
0.035967763513326645,
0.014434640295803547,
0.05004354938864708,
-0.03659537434577942,
-0.016497597098350525,
0.033518560230731964,
0.036979176104068756,
-0.0410904698073864,
-0.05859510973095894,
-0.042605217546224594,
-0.0617339126765728,
-0.051185451447963715,
-0.07411857694387436,
0.010802107863128185,
0.012380358763039112,
-0.031056031584739685,
0.026492491364479065,
-0.0029012367594987154,
0.001419898122549057,
0.023000702261924744,
-0.05373934283852577,
0.007898809388279915,
0.024005016312003136,
0.011629615910351276,
-0.016245607286691666,
0.03918430954217911,
0.02813115157186985,
-0.005585383623838425,
-0.03702922165393829,
0.02187822014093399,
0.015149529092013836,
0.019770583137869835,
-0.014993205666542053,
-0.011541461572051048,
-0.08756209909915924,
-0.018755029886960983,
0.026926500722765923,
-0.01802929677069187,
-0.08037298917770386,
0.029832711443305016,
-0.02923535741865635,
0.016196146607398987,
0.09105534106492996,
0.020742574706673622,
0.005224515683948994,
-0.048666492104530334,
-0.0014542060671374202,
0.009941712021827698,
0.011536077596247196,
0.06227552518248558,
-0.023088866844773293,
0.04337687790393829,
0.04847682639956474,
-0.04607602581381798,
-0.09044720977544785,
0.013070656917989254,
0.006157102528959513,
-0.024232955649495125,
0.0019872719421982765,
-0.04046658053994179,
-0.014757217839360237,
-0.10558511316776276,
-0.0054172067902982235,
0.023416714742779732,
-0.0296167004853487,
-0.03502006456255913,
0.0039171441458165646,
-0.006906798575073481,
0.0017411134904250503,
-0.010355453938245773,
-0.016153955832123756,
-0.027623485773801804,
-0.022710513323545456,
-0.019839143380522728,
-0.0785713717341423,
0.03670891374349594,
-0.05447416007518768,
0.01329236663877964,
-0.05488074943423271,
-0.04685933515429497,
0.027462193742394447,
0.015730232000350952,
0.016077134758234024,
0.0041356682777404785,
0.004058101214468479,
0.006815447937697172
] |
https://github.com/LinkedIn-XFACT/RM-Robustness
|
526 |
From Low Rank Gradient Subspace Stabilization to Low-Rank Weights: Observations, Theories, and Applications
|
https://openreview.net/forum?id=fsf7LhbYdf
|
[
"AJAY KUMAR JAISWAL",
"Yifan Wang",
"Lu Yin",
"Shiwei Liu",
"Runjin Chen",
"Jiawei Zhao",
"Ananth Grama",
"Yuandong Tian",
"Zhangyang Wang"
] |
Poster
|
Large Language Models (LLMs) matrices can often be expressed in low-rank format with potential to relax memory and compute resource requirements. Unlike previous works which pivot around developing novel matrix decomposition algorithms, in this work we focus to study the emerging non-uniform low-rank properties across weight matrices in LLMs through the lens of stabilizing gradient subspace. \textit{Firstly,} we provide a theoretical framework to understand the stabilization of gradient subspaces through Hessian analysis. \textit{Secondly,} we empirically establish a consequential relationship between the gradient dynamics and low-rank expressiveness of weight matrices. Our findings reveal that different LLM components exhibit varying levels of converged low-rank structure, necessitating a non-uniform rank reduction across them to minimize performance drop due to compression. In view of that, we present \textit{Weight Low-Rank Projection} \textbf{(WeLore)} that unifies weight compression and memory-efficient fine-tuning as ONE, in a data-agnostic and one-shot way. Going beyond only as a compression technique, WeLore categorizes weight matrices into Low-rank Components (LRCs) and Non-Low-rank Components (N-LRCs) based on their ability to express themselves as low-rank. Our gradient dynamics perspective illustrate that \textit{LRCs tend to have better finetuning capabilities} and their standalone finetuning can closely mimic (sometimes outperform) the training loss trajectory and performance of full-finetuning with notable memory and compute footprint reduction. All codes and checkpoints will be released.
|
Large language models, Gradient subspace, Memory-efficient training, Optimization, Low Rank Compression
|
Our work provides a theoretical perspective of gradient subspace stabilization and present WeLore as a novel framework for LLM compression and memory-efficient finetuning.
| 13,235 |
2407.11239
|
[
-0.05179699882864952,
-0.03326919302344322,
0.01167180947959423,
0.042222365736961365,
0.03871249780058861,
0.023173261433839798,
0.021385814994573593,
-0.0009860983118414879,
-0.02884601056575775,
-0.018774112686514854,
-0.02603224851191044,
0.017040356993675232,
-0.0680394098162651,
-0.008949295617640018,
0.007963338866829872,
0.0538131445646286,
0.04411221668124199,
0.002272579353302717,
0.007529012393206358,
0.03401188924908638,
-0.00008635940321255475,
-0.025821927934885025,
0.0395624078810215,
0.023122213780879974,
0.046568483114242554,
0.024984275922179222,
0.01881803572177887,
0.00586329959332943,
-0.039883945137262344,
0.010303476825356483,
0.022983571514487267,
-0.0032851083669811487,
0.0035578019451349974,
0.0019866526126861572,
0.03787022456526756,
0.00557482335716486,
-0.05430445447564125,
0.037732042372226715,
0.02171902544796467,
0.0180332213640213,
-0.015218103304505348,
0.005824715830385685,
-0.009550725109875202,
0.0430300198495388,
-0.05095216631889343,
0.006387951783835888,
-0.12780475616455078,
-0.0008871084428392351,
0.013847519643604755,
-0.07600342482328415,
-0.10510977357625961,
0.05867839604616165,
0.005346294958144426,
0.0014580402057617903,
0.008370677009224892,
0.020072700455784798,
0.034537866711616516,
-0.07268159091472626,
0.0098654106259346,
-0.04164376109838486,
-0.06233825907111168,
0.010761115700006485,
0.01211246196180582,
0.015339777804911137,
-0.015698056668043137,
-0.022422241047024727,
0.01691310480237007,
0.012308706529438496,
-0.06519421935081482,
-0.052475061267614365,
-0.014838490635156631,
0.01852845400571823,
0.012448977679014206,
0.016672512516379356,
-0.004545286297798157,
-0.044391222298145294,
0.017867770045995712,
0.04415702074766159,
0.04068761691451073,
0.008931629359722137,
0.008869621902704239,
0.0065186661668121815,
0.005004563368856907,
0.0493212565779686,
-0.011052208952605724,
0.018330831080675125,
-0.03560645505785942,
-0.04447462037205696,
-0.08005968481302261,
0.0204805638641119,
-0.04518575593829155,
-0.03467673063278198,
0.006645915098488331,
0.031578369438648224,
0.005034902598708868,
0.008162925019860268,
0.02448722906410694,
0.027322884649038315,
0.005563592072576284,
-0.011096416041254997,
-0.0223021749407053,
-0.025944186374545097,
0.023867782205343246,
-0.02264884114265442,
-0.11903835833072662,
-0.020905334502458572,
-0.0574641227722168,
0.021679414436221123,
-0.006227412261068821,
-0.017352277413010597,
-0.012363351881504059,
0.0033457728568464518,
0.01611330732703209,
-0.021510640159249306,
-0.07842238247394562,
0.016280941665172577,
0.011679980903863907,
0.029454149305820465,
-0.009655119851231575,
0.003904102835804224,
0.05462390556931496,
0.052147164940834045,
0.014278201386332512,
0.099090076982975,
-0.027729960158467293,
0.030651750043034554,
0.030400948598980904,
0.03400719538331032,
-0.06086178869009018,
-0.045312218368053436,
0.022241678088903427,
0.007080306764692068,
0.01270973589271307,
0.016391482204198837,
-0.006396500393748283,
-0.009007059037685394,
-0.015044505707919598,
0.024490611627697945,
0.06784987449645996,
-0.011400695890188217,
-0.0124445715919137,
-0.03027445264160633,
0.05738992989063263,
-0.031379569321870804,
0.07792279869318008,
-0.02839420735836029,
-0.011742755770683289,
-0.05499193072319031,
-0.04832551255822182,
-0.015089096501469612,
0.043259087949991226,
-0.019631648436188698,
-0.010406328365206718,
-0.08980730175971985,
0.0003922370378859341,
0.04423986375331879,
0.003167017363011837,
0.009744144976139069,
0.010600469075143337,
0.03114926442503929,
0.014340819790959358,
-0.017856499180197716,
-0.05730137974023819,
0.013969911262392998,
-0.012508790008723736,
-0.0519595593214035,
0.03318849951028824,
0.005699987057596445,
-0.03154917061328888,
0.008920103311538696,
-0.023801378905773163,
-0.03897622600197792,
0.062127869576215744,
-0.017441248521208763,
-0.026858551427721977,
-0.018299490213394165,
0.06770049035549164,
0.04047616571187973,
0.038139909505844116,
0.005634239874780178,
-0.07349546998739243,
0.017802374437451363,
0.009306149557232857,
-0.009718814864754677,
0.015899714082479477,
0.0018565227510407567,
0.11444123834371567,
-0.028336508199572563,
0.01264043990522623,
0.01657506823539734,
-0.09440252929925919,
0.002910392824560404,
0.020297037437558174,
-0.0022795801050961018,
0.05504380539059639,
0.012136442586779594,
0.0008115950040519238,
0.028133094310760498,
0.016855085268616676,
0.03984803706407547,
0.06374182552099228,
-0.04515213146805763,
0.06299838423728943,
0.00955449603497982,
-0.030371639877557755,
0.0006461264565587044,
0.025853266939520836,
-0.04329362139105797,
-0.048618052154779434,
0.023912077769637108,
0.0029466578271239996,
-0.017463482916355133,
0.007984861731529236,
0.010512150824069977,
0.012783847749233246,
-0.006032172590494156,
-0.013504637405276299,
-0.00477604428306222,
0.030727192759513855,
-0.055684421211481094,
0.07905591279268265,
0.015981236472725868,
0.00009207966650137678,
0.017762592062354088,
-0.0332958959043026,
0.09924527257680893,
0.05289233848452568,
-0.024292435497045517,
-0.0051983678713440895,
0.04735637083649635,
0.006043612025678158,
-0.005339393392205238,
0.006172887049615383,
-0.02127803862094879,
-0.014891200698912144,
-0.0028437282890081406,
-0.0006355809164233506,
-0.03117726370692253,
0.049396075308322906,
-0.04746172949671745,
-0.017062604427337646,
0.05683555826544762,
-0.014408702030777931,
0.04385862499475479,
-0.030271751806139946,
-0.010428350418806076,
0.03280279040336609,
0.0009312384645454586,
-0.00025010661920532584,
-0.030800113454461098,
0.01010720431804657,
0.0055505200289189816,
-0.006827597972005606,
-0.02981305494904518,
0.02108420804142952,
-0.03274857625365257,
-0.018778691068291664,
-0.020266210660338402,
0.06199711561203003,
0.05638862028717995,
0.017145898193120956,
0.01562207005918026,
0.0009308533626608551,
-0.07090724259614944,
-0.012130971066653728,
-0.08376358449459076,
-0.02201085165143013,
-0.016448331996798515,
0.06671135127544403,
0.0007389210513792932,
0.04532917961478233,
-0.0029360614717006683,
0.00924619659781456,
-0.034187011420726776,
0.0009545410284772515,
0.02296956069767475,
0.03052343800663948,
0.006904995534569025,
-0.046335943043231964,
0.002190767554566264,
0.016324153169989586,
0.04967300221323967,
-0.02520144358277321,
-0.01836046762764454,
-0.039575520902872086,
-0.029670728370547295,
-0.01780889742076397,
-0.04768003150820732,
0.0020466726273298264,
-0.0010546130361035466,
-0.0029684826731681824,
0.0020442300010472536,
-0.035575222223997116,
0.003913934342563152,
0.02156989648938179,
0.06533807516098022,
0.05804752558469772,
0.00846058875322342,
0.0036460303235799074,
0.031194651499390602,
-0.010022832080721855,
0.021039703860878944,
-0.004054655786603689,
0.029555754736065865,
-0.03320642560720444,
0.004337536171078682,
0.0034427433274686337,
-0.017719797790050507,
-0.27459684014320374,
-0.014885860495269299,
0.012255068868398666,
-0.02484549582004547,
0.05068366229534149,
-0.0033138133585453033,
0.032561980187892914,
-0.027247071266174316,
-0.02106345072388649,
0.013737819157540798,
-0.0017994845984503627,
0.04068400710821152,
0.007334363646805286,
0.043179553002119064,
0.066347137093544,
0.018797431141138077,
-0.006397593300789595,
-0.021319646388292313,
0.011631537228822708,
0.030528537929058075,
-0.00447334349155426,
-0.07446623593568802,
-0.007033404894173145,
0.03433195874094963,
-0.015164525248110294,
0.059011854231357574,
-0.07512691617012024,
-0.0007654667133465409,
-0.030761584639549255,
-0.020923957228660583,
-0.028183383867144585,
-0.015192657709121704,
-0.008030788972973824,
0.05544763803482056,
-0.025735627859830856,
0.009386951103806496,
0.027523223310709,
0.0025143905077129602,
0.02786637656390667,
0.01542408112436533,
0.018978679552674294,
-0.02689065970480442,
-0.0049117389135062695,
0.012044494971632957,
0.07753419131040573,
0.03747604042291641,
-0.053666915744543076,
0.010578838177025318,
-0.010162405669689178,
0.02459862269461155,
0.03259095549583435,
-0.03432523086667061,
-0.01770653761923313,
0.0361877866089344,
0.0039035542868077755,
-0.03481940180063248,
0.0052406745962798595,
0.005094803869724274,
0.00563483452424407,
0.027573850005865097,
-0.007696232292801142,
-0.05201629176735878,
-0.018844449892640114,
-0.06330041587352753,
-0.0015235745813697577,
-0.03672313690185547,
-0.07899394631385803,
-0.022865982726216316,
0.030478836968541145,
0.044538602232933044,
-0.022337600588798523,
0.03333001956343651,
-0.0023691151291131973,
-0.08297298848628998,
0.004531429149210453,
-0.00022694453946314752,
-0.01756032183766365,
0.002236604690551758,
-0.0017131103668361902,
0.060044072568416595,
-0.04335528239607811,
-0.03947977349162102,
0.021964270621538162,
0.007432934362441301,
0.021406691521406174,
-0.035922467708587646,
0.04284128546714783,
0.006093345582485199,
-0.006424930412322283,
-0.053420864045619965,
0.04069140553474426,
-0.0024431466590613127,
0.020140372216701508,
0.021204568445682526,
0.07136449217796326,
0.0076568713411688805,
0.011898094788193703,
0.034563492983579636,
0.0484544076025486,
0.0238250270485878,
0.02730538509786129,
-0.07162769138813019,
0.004770102445036173,
-0.015964161604642868,
-0.0031046990770846605,
0.03577665612101555,
-0.07364916801452637,
-0.043670233339071274,
0.033565033227205276,
0.003600993426516652,
-0.02645326405763626,
-0.022054489701986313,
0.012585370801389217,
-0.03366433084011078,
-0.017257630825042725,
0.009977822192013264,
-0.012466606684029102,
0.01948515698313713,
0.0005713700666092336,
-0.019122304394841194,
-0.03851485624909401,
0.054909247905015945,
-0.0069637480191886425,
0.02030389942228794,
0.017908092588186264,
0.02953854762017727,
-0.0070469859056174755,
-0.020592786371707916,
-0.048637960106134415,
-0.01198083721101284,
0.028992652893066406,
0.04858097434043884,
0.008198210969567299,
-0.004491661675274372,
0.06337516754865646,
0.011634116061031818,
0.03240394592285156,
-0.00749754486605525,
0.043267931789159775,
-0.01143669057637453,
0.010268032550811768,
-0.009541620500385761,
0.03992113843560219,
0.021653594449162483,
0.02104892209172249,
0.03053666092455387,
0.015333481132984161,
-0.009613631293177605,
-0.0017984752776101232,
-0.00614948058500886,
0.03937388211488724,
-0.03971671313047409,
-0.017673728987574577,
-0.02745184488594532,
0.027098437771201134,
-0.00771295465528965,
0.029350943863391876,
-0.0138652129098773,
0.011807480826973915,
-0.06400755792856216,
0.051653243601322174,
0.010594326071441174,
-0.027192452922463417,
0.006599850952625275,
-0.0030096457339823246,
0.035132527351379395,
-0.006368330214172602,
-0.003792678704485297,
0.022177092730998993,
0.01282802876085043,
-0.0035531960893422365,
-0.01358919870108366,
-0.025285113602876663,
-0.03224552795290947,
-0.0025982956867665052,
0.0014654338592663407,
0.022112438455224037,
-0.0026480848900973797,
-0.016346663236618042,
0.035430118441581726,
0.029522018507122993,
-0.03540315106511116,
-0.021245941519737244,
0.027455532923340797,
0.08307583630084991,
0.0031693517230451107,
0.016546253114938736,
-0.010772479698061943,
-0.04542752727866173,
0.013708475977182388,
-0.004208086524158716,
-0.0028665747959166765,
-0.030479442328214645,
-0.04835926741361618,
-0.020346717908978462,
-0.030927538871765137,
0.017359668388962746,
0.028231646865606308,
-0.00598220806568861,
-0.0007441618363372982,
-0.02264964021742344,
-0.0011300747282803059,
-0.0600840300321579,
0.01610269956290722,
0.03419555351138115,
-0.08310899883508682,
-0.0081071387976408,
0.028030412271618843,
-0.013753398321568966,
0.02335469052195549,
-0.01637171395123005,
-0.06676457077264786,
-0.04692807048559189,
-0.01897622086107731,
0.04372427985072136,
-0.034516993910074234,
-0.03820374980568886,
-0.013369317166507244,
0.013093594461679459,
-0.022321712225675583,
0.004513077903538942,
-0.010637935250997543,
0.011599254794418812,
-0.010405839420855045,
0.012394784018397331,
0.044265016913414,
-0.036252669990062714,
0.013700321316719055,
-0.007219635881483555,
-0.03851732239127159,
0.023689499124884605,
-0.054061200469732285,
0.02971624955534935,
0.06583187729120255,
0.006176739931106567,
-0.002277832245454192,
-0.04886554181575775,
0.033192407339811325,
-0.011831004172563553,
-0.019144317135214806,
0.013283712789416313,
-0.006630384363234043,
-0.023641884326934814,
-0.0047243316657841206,
-0.006630471907556057,
0.05432938411831856,
0.026818884536623955,
-0.015546382404863834,
-0.0021025885362178087,
0.006800137460231781,
0.026789749041199684,
0.050404902547597885,
-0.035207487642765045,
-0.03605681657791138,
0.07147824764251709,
-0.01735975220799446,
-0.02683759294450283,
-0.08474474400281906,
-0.005397321190685034,
0.004988803528249264,
-0.006318938452750444,
0.030838245525956154,
-0.02289205975830555,
0.05004088208079338,
0.01993630640208721,
0.04645911604166031,
0.02473033033311367,
-0.016049621626734734,
0.04239016771316528,
-0.03086015209555626,
-0.01948370784521103,
-0.06575347483158112,
-0.04841583967208862,
0.03529191017150879,
-0.031612418591976166,
0.03139810636639595,
-0.016894632950425148,
-0.050415586680173874,
0.0016896998276934028,
0.012392421253025532,
-0.06481746584177017,
-0.028316710144281387,
-0.03845040872693062,
-0.02560647390782833,
0.039852745831012726,
-0.04209982603788376,
-0.013093885965645313,
-0.02795376628637314,
-0.045207783579826355,
0.016693299636244774,
-0.00785538274794817,
0.033213477581739426,
-0.02867572195827961,
-0.0042078495025634766,
-0.06153809279203415,
-0.00502011738717556,
0.01603364758193493,
0.04463125392794609,
0.019691545516252518,
0.003879544558003545,
-0.029255568981170654,
0.05357613414525986,
0.014385509304702282,
0.002237919718027115,
-0.007100341375917196,
0.04155079275369644,
-0.007511132396757603,
-0.05905040726065636,
0.06989061832427979,
-0.005289190914481878,
-0.02796829678118229,
-0.039223212748765945,
0.059473682194948196,
0.05572764575481415,
-0.03536292165517807,
-0.03377997875213623,
0.037924718111753464,
-0.030508821830153465,
-0.009237710386514664,
-0.020716769620776176,
-0.004188076592981815,
-0.028821004554629326,
0.07598235458135605,
0.021016929298639297,
0.02374233677983284,
0.060730233788490295,
-0.005619680974632502,
-0.029896728694438934,
-0.04259132593870163,
0.07243962585926056,
0.08281460404396057,
0.052487220615148544,
-0.028110286220908165,
0.07597588002681732,
-0.041990675032138824,
-0.04076801612973213,
0.03227326273918152,
0.004688391461968422,
-0.01891980692744255,
-0.05118338763713837,
0.007262170314788818,
0.07435134798288345,
-0.012618965469300747,
0.07613571733236313,
-0.04218638315796852,
-0.015456472523510456,
0.041892580687999725,
-0.005046505481004715,
-0.009231840260326862,
0.041624609380960464,
0.036510881036520004,
0.03171589598059654,
-0.013201170600950718,
-0.00840007420629263,
-0.003349395701661706,
0.008015534840524197,
0.041421014815568924,
0.0028821048326790333,
-0.02608811855316162,
0.01103951595723629,
-0.016204992309212685,
0.04140391945838928,
0.0970795527100563,
-0.0497874915599823,
-0.054537586867809296,
-0.0033369045704603195,
0.008634074591100216,
-0.010386347770690918,
0.05035758763551712,
-0.0035018310882151127,
-0.04779661074280739,
0.023756243288517,
-0.04522879421710968,
-0.0003811583446804434,
0.04392300918698311,
0.006724503356963396,
0.01417398452758789,
0.0016574786277487874,
-0.010290014557540417,
0.016008920967578888,
0.06599971652030945,
-0.05766627565026283,
-0.048950761556625366,
-0.035861119627952576,
-0.056063637137413025,
-0.04888319596648216,
-0.049816250801086426,
0.040453724563121796,
0.005400569178164005,
-0.012711064890027046,
0.012102115899324417,
-0.05564083904027939,
0.002438239986076951,
0.030732950195670128,
-0.06300200521945953,
0.013252533040940762,
0.024449937045574188,
0.0027812791522592306,
0.008708423003554344,
0.04030570015311241,
0.024730777367949486,
-0.005106004886329174,
-0.019520075991749763,
0.06030901148915291,
-0.003925000317394733,
0.021552376449108124,
-0.0026066976133733988,
-0.013827026821672916,
-0.09715364128351212,
0.01918482966721058,
0.0035688220523297787,
-0.040259428322315216,
-0.07839608192443848,
0.008067137561738491,
-0.028339877724647522,
0.020575040951371193,
0.04290314018726349,
0.005458073224872351,
0.028538435697555542,
-0.03450869023799896,
-0.02291342429816723,
-0.009942553006112576,
0.02147028222680092,
0.035257235169410706,
0.003648892045021057,
0.06606409698724747,
0.036809395998716354,
-0.00881388783454895,
-0.06060111150145531,
0.018170075491070747,
-0.007524745538830757,
0.01152133196592331,
-0.027383044362068176,
-0.029859233647584915,
-0.02982831560075283,
-0.09113326668739319,
-0.0282128918915987,
-0.0019124533282592893,
-0.018475061282515526,
-0.02198741026222706,
-0.010026675648987293,
-0.02568790316581726,
-0.03715762495994568,
-0.030005522072315216,
0.0009794437792152166,
-0.02390337362885475,
-0.054933227598667145,
-0.031809184700250626,
-0.057091742753982544,
0.021023031324148178,
-0.021017396822571754,
-0.026558848097920418,
-0.015042969956994057,
-0.03166235238313675,
0.0023663542233407497,
0.018344826996326447,
0.03659280389547348,
0.0037214013282209635,
0.023099534213542938,
-0.015086966566741467
] |
https://github.com/VITA-Group/WeLore
|
527 |
QUTE: Quantifying Uncertainty in TinyML models with Early-exit-assisted ensembles for model-monitoring
|
https://openreview.net/forum?id=EIEpGfixF6
|
[
"Nikhil Pratap Ghanathe",
"Steven J E Wilton"
] |
Poster
|
Uncertainty quantification (UQ) provides a resource-efficient solution for on-device monitoring of tinyML models deployed remotely without access to true labels. However, existing UQ methods impose significant memory and compute demands, making them impractical for ultra-low-power, KB-sized tinyML devices. Prior work has attempted to reduce overhead by using early-exit ensembles to quantify uncertainty in a single forward pass, but these approaches still carry prohibitive costs. To address this, we propose QUTE, a novel resource-efficient early-exit-assisted ensemble architecture optimized for tinyML models. QUTE introduces additional output blocks at the final exit of the base network, distilling early-exit knowledge into these blocks to form a diverse yet lightweight ensemble. We show that QUTE delivers superior uncertainty quality on tiny models, achieving comparable performance on larger models with 59% smaller model sizes than the closest prior work. When deployed on a microcontroller, QUTE demonstrates a 31% reduction in latency on average. In addition, we show that QUTE excels at detecting accuracy-drop events, outperforming all prior works.
|
ML Model monitoring, TinyML, Resource-efficient learning, Uncertainty quantification, Early-exit networks, Trust in ML, Lightweight neural networks, Ensemble learning, Failure detection
|
QUTE is a resource-efficient early-exit ensemble method for on-device uncertainty quantification (UQ) and monitoring in tinyML, reducing model size by 59% and latency by 31%, while detecting accuracy drops. It fits on a 256KB microcontroller.
| 13,233 |
2404.12599
|
[
-0.01640929840505123,
-0.026753859594464302,
-0.044754721224308014,
0.04593532904982567,
0.05870313569903374,
0.03616614267230034,
0.004582327790558338,
0.0004015633894596249,
-0.030492670834064484,
-0.03648766130208969,
-0.020901741459965706,
0.00496651278808713,
-0.07594563812017441,
0.008270028978586197,
-0.017454151064157486,
0.047764476388692856,
0.039909426122903824,
-0.011579493060708046,
0.04267226904630661,
0.008254680782556534,
0.00802824180573225,
-0.02533677965402603,
0.016946950927376747,
0.03385571017861366,
0.04476916417479515,
0.005692535080015659,
0.03771344944834709,
-0.006660898216068745,
-0.03185691684484482,
0.012640868313610554,
0.030454419553279877,
-0.00021464546443894506,
-0.0014528351603075862,
-0.05960695818066597,
-0.005177977029234171,
0.024544768035411835,
-0.053382761776447296,
0.03611328825354576,
-0.0245368555188179,
0.016909746453166008,
-0.02821476384997368,
0.0023813911247998476,
0.011229736730456352,
0.03513943776488304,
-0.028822610154747963,
0.005225407890975475,
-0.08788935095071793,
0.019792070612311363,
0.0064603001810610294,
-0.021093737334012985,
-0.11829262971878052,
0.04875732585787773,
0.004830296151340008,
-0.009772066958248615,
0.013385643251240253,
0.006869067437946796,
0.05890714004635811,
-0.08732835203409195,
-0.012596860527992249,
-0.05404270440340042,
-0.013931342400610447,
0.009553850628435612,
0.004390816204249859,
0.014323025941848755,
0.00855955109000206,
-0.026508843526244164,
0.014971637167036533,
0.05372463911771774,
-0.0524943582713604,
-0.026887178421020508,
0.011337065137922764,
0.024841077625751495,
-0.007134682033210993,
-0.023381708189845085,
0.022787733003497124,
-0.04405250400304794,
0.026251306757330894,
0.027967968955636024,
0.06469578295946121,
0.02866446040570736,
0.0199782345443964,
-0.03857753053307533,
0.0008008894510567188,
0.06149863824248314,
0.008662804029881954,
-0.0018804443534463644,
-0.04482196643948555,
-0.00488108117133379,
-0.09117528051137924,
0.060042593628168106,
0.03266121447086334,
-0.05002696439623833,
0.03621464967727661,
0.02219226397573948,
0.0019781438168138266,
0.015546882525086403,
0.021753452718257904,
0.02518988586962223,
-0.007912729866802692,
0.0016424679197371006,
0.005824616644531488,
-0.019905658438801765,
0.01989845372736454,
-0.01750374212861061,
-0.12257342040538788,
-0.01092862244695425,
-0.053780075162649155,
-0.04286888986825943,
0.020835524424910545,
0.013234337791800499,
0.02316141128540039,
0.005647295620292425,
0.014668877236545086,
0.006207514088600874,
-0.07367300987243652,
0.03977331146597862,
0.013185693882405758,
0.024608921259641647,
0.012768586166203022,
-0.0010887508979067206,
0.08671464771032333,
0.08319670706987381,
0.003390682628378272,
0.06995783001184464,
0.0007027921383269131,
-0.008683744817972183,
0.03145219385623932,
-0.007974530570209026,
0.004962467588484287,
-0.039221566170454025,
0.027724694460630417,
0.04639585688710213,
0.01961473748087883,
-0.0477200411260128,
0.005005975253880024,
0.011342237703502178,
0.0021543563343584538,
0.01732640713453293,
0.06547265499830246,
0.012710249982774258,
0.009860922582447529,
-0.016741203144192696,
0.025484003126621246,
0.015442992560565472,
0.01958587020635605,
-0.01855318248271942,
-0.03901289030909538,
-0.02190025895833969,
-0.002709025051444769,
0.0061406828463077545,
-0.04052991047501564,
-0.03170357272028923,
-0.03260001540184021,
-0.11228245496749878,
0.03613157942891121,
0.038980331271886826,
0.041348204016685486,
0.038188908249139786,
0.0029105364810675383,
-0.010014817118644714,
0.001340679475106299,
0.002954096533358097,
-0.02400527149438858,
-0.011372368782758713,
0.003544800914824009,
-0.05200790613889694,
0.04791099578142166,
0.00599088566377759,
-0.013085258193314075,
-0.02160901017487049,
-0.05885077640414238,
-0.055793337523937225,
0.0689118504524231,
-0.005603462923318148,
-0.017033230513334274,
-0.0010884656803682446,
0.04919391870498657,
-0.020025355741381645,
-0.00009547652007313445,
0.04598011448979378,
-0.08875589072704315,
0.01395457424223423,
-0.0029384612571448088,
0.0024824102874845266,
-0.007360569201409817,
-0.019870443269610405,
0.09594012051820755,
-0.015450476668775082,
-0.059947069734334946,
-0.008402201347053051,
-0.09579417109489441,
-0.0027965097688138485,
0.0005963937728665769,
-0.00033899498521350324,
0.05009140819311142,
-0.004073011223226786,
0.024196412414312363,
0.05634143576025963,
0.0261073000729084,
0.009306437335908413,
0.022048020735383034,
0.012816951610147953,
0.031544029712677,
-0.022396305575966835,
-0.06852121651172638,
-0.005723076406866312,
0.03324216604232788,
-0.03803014010190964,
-0.020253216847777367,
-0.009774455800652504,
-0.0180025827139616,
0.00029091438045725226,
0.006924044340848923,
-0.03876420855522156,
-0.01514920312911272,
-0.018546178936958313,
-0.01677783392369747,
0.0007709328783676028,
0.011589376255869865,
-0.05097504332661629,
0.015386121347546577,
0.03626120090484619,
0.007256921846419573,
0.030905742198228836,
-0.013056926429271698,
0.1023198738694191,
0.06141132861375809,
-0.05761505290865898,
-0.0009502050234004855,
0.024040866643190384,
0.013617138378322124,
-0.016076181083917618,
-0.000726518570445478,
-0.03292294964194298,
-0.01631608046591282,
0.003150675445795059,
0.025796346366405487,
-0.02460678666830063,
0.059030383825302124,
-0.04065461456775665,
0.015351072885096073,
0.06859292834997177,
-0.028361482545733452,
0.06510959565639496,
0.021117854863405228,
-0.018296875059604645,
0.05965081974864006,
-0.038833316415548325,
-0.029622847214341164,
-0.06535228341817856,
0.0029531142208725214,
0.004666484426707029,
0.01971588097512722,
-0.014123286120593548,
0.006083350162953138,
-0.06992311030626297,
-0.005038748495280743,
0.015127169899642467,
0.07211728394031525,
0.049340009689331055,
0.01562996581196785,
0.007808102760463953,
0.04726343974471092,
-0.04318537190556526,
-0.021740425378084183,
-0.10751011222600937,
-0.033330511301755905,
-0.01524030975997448,
0.0342937670648098,
-0.014935747720301151,
0.03973953425884247,
-0.013101786375045776,
0.03634767234325409,
-0.01505329366773367,
-0.010762093588709831,
0.022589046508073807,
0.020873134955763817,
0.02407258376479149,
0.0029709620866924524,
-0.008459420874714851,
0.030488431453704834,
0.0714416354894638,
-0.021051758900284767,
-0.03378083556890488,
0.0074907089583575726,
-0.022630395367741585,
0.005716750398278236,
-0.023737313225865364,
-0.014151934534311295,
-0.006368563044816256,
0.00946168601512909,
-0.0015591379487887025,
-0.027120288461446762,
0.018935924395918846,
0.01622287556529045,
0.04429817944765091,
0.03603623807430267,
0.004881014581769705,
-0.01862393692135811,
0.04535914957523346,
0.00398791441693902,
0.016286499798297882,
-0.019652923569083214,
-0.004162775818258524,
-0.031240593641996384,
0.0046649519354105,
0.041302260011434555,
-0.01657041721045971,
-0.2656087577342987,
-0.026160085573792458,
0.050851691514253616,
0.005346258636564016,
0.009429278783500195,
-0.02669760398566723,
0.047252871096134186,
-0.013544795103371143,
-0.01322412583976984,
0.04210660234093666,
0.026328131556510925,
0.03661340847611427,
-0.024067189544439316,
0.03601514920592308,
0.06034141778945923,
0.004253772087395191,
-0.027610572054982185,
-0.022960135713219643,
0.04293699190020561,
0.016485348343849182,
-0.02251078002154827,
-0.05740886926651001,
0.009417960420250893,
0.013700869865715504,
0.02196631208062172,
0.0021066132467240095,
-0.069778673350811,
-0.01757928915321827,
-0.027912883087992668,
-0.020011475309729576,
-0.016126582399010658,
-0.03566908836364746,
-0.004617979750037193,
0.010286985896527767,
0.022670334205031395,
0.001978146145120263,
0.05602078139781952,
-0.004820139147341251,
0.032896772027015686,
0.014184113591909409,
0.017048878595232964,
-0.006002250127494335,
0.019154004752635956,
0.01663343794643879,
0.08019223064184189,
0.012556501664221287,
-0.017750345170497894,
-0.0010142757091671228,
-0.019086772575974464,
0.019416017457842827,
-0.021091843023896217,
-0.03922473266720772,
-0.006830720230937004,
-0.0074406773783266544,
0.0007372283143922687,
-0.0007799309678375721,
-0.01018328033387661,
-0.0018382108537480235,
-0.00997999869287014,
0.021971849724650383,
0.006431311834603548,
-0.0429299958050251,
-0.035202983766794205,
-0.02153569832444191,
0.010692216455936432,
-0.02309880405664444,
-0.07682246714830399,
-0.03750891610980034,
0.06553193926811218,
0.008763513527810574,
-0.014560620300471783,
-0.02341500110924244,
-0.027059443295001984,
-0.08599136024713516,
0.03349309042096138,
-0.00034000599407590926,
0.016048530116677284,
-0.023531053215265274,
0.020727982744574547,
0.048188257962465286,
-0.05252175033092499,
-0.04274514690041542,
0.013789482414722443,
0.045044608414173126,
0.03293047100305557,
-0.03233937546610832,
-0.02915756031870842,
-0.015138606540858746,
-0.029586395248770714,
-0.026441672816872597,
0.05619411543011665,
-0.012045955285429955,
0.015641577541828156,
0.007177185732871294,
0.03867993503808975,
0.03539571538567543,
0.020594030618667603,
0.06356688588857651,
0.020654335618019104,
0.03660915791988373,
0.0164149459451437,
-0.057765454053878784,
0.005524470470845699,
-0.04172419384121895,
-0.02248695120215416,
0.0324874222278595,
-0.03917102515697479,
-0.0202373955398798,
0.04241826757788658,
0.013618789613246918,
-0.00586422486230731,
-0.0018841103883460164,
-0.0066374135203659534,
-0.01145654171705246,
-0.020011065527796745,
-0.0431060753762722,
0.01819481886923313,
0.0434827096760273,
0.010845125652849674,
-0.03190360963344574,
-0.035907402634620667,
0.015236971899867058,
-0.02200974151492119,
0.0013037677854299545,
-0.02464727871119976,
0.004572894889861345,
-0.0006119360332377255,
-0.010727206245064735,
-0.04663822054862976,
-0.0666874498128891,
0.02435689978301525,
0.0338849201798439,
-0.017469290643930435,
0.008197041228413582,
0.028136160224676132,
0.0016231026966124773,
-0.03089071810245514,
0.017532281577587128,
0.014043682254850864,
-0.02822834812104702,
0.018082069233059883,
-0.027797704562544823,
0.04525001719594002,
0.027676435187458992,
0.01461065374314785,
0.0004150690801907331,
0.0074244006536901,
-0.0008983173756860197,
0.010715033859014511,
-0.017128078266978264,
0.03001667559146881,
-0.03723713755607605,
-0.03208720311522484,
-0.004597316961735487,
-0.01764148473739624,
-0.016497589647769928,
0.02684243954718113,
-0.01473955251276493,
0.004754753317683935,
-0.05618578568100929,
-0.012562524527311325,
0.026362646371126175,
-0.013055684044957161,
-0.006109061185270548,
0.02372967079281807,
0.060136161744594574,
0.007307745981961489,
-0.004017839673906565,
0.008929051458835602,
0.02255016565322876,
-0.04864093288779259,
-0.061461128294467926,
-0.026911204680800438,
-0.03491586446762085,
-0.017547529190778732,
0.020327642560005188,
0.008999562822282314,
-0.026727942749857903,
-0.06666921079158783,
0.044952601194381714,
0.04885321483016014,
-0.028636738657951355,
0.024350006133317947,
-0.014437664300203323,
0.06658592820167542,
-0.009173060767352581,
-0.011206062510609627,
0.0052702161483466625,
-0.023832812905311584,
0.03787236660718918,
0.008429846726357937,
0.03266655281186104,
-0.009193485602736473,
-0.02859664522111416,
-0.04810653626918793,
-0.044250115752220154,
0.016391001641750336,
0.044778767973184586,
0.008117008022964,
-0.02632547728717327,
-0.00016259854601230472,
-0.025090087205171585,
-0.028760505840182304,
0.023124288767576218,
0.020425809547305107,
-0.08137152343988419,
-0.012568802572786808,
0.060822054743766785,
-0.022319655865430832,
0.004796913359314203,
-0.05435067415237427,
-0.033816684037446976,
0.013219104148447514,
-0.01808406226336956,
-0.0038080892991274595,
-0.011394831351935863,
-0.003989166114479303,
0.003924224525690079,
0.00842344295233488,
-0.03344132378697395,
0.013949517160654068,
-0.01183705497533083,
0.011843360960483551,
-0.045736439526081085,
0.0004037929465994239,
0.028319409117102623,
-0.047881048172712326,
0.03510923683643341,
-0.008397361263632774,
-0.025615058839321136,
0.025903252884745598,
-0.06632007658481598,
-0.013812716118991375,
0.004591354634612799,
-0.01468441728502512,
0.026053380221128464,
-0.031771469861269,
0.03089318424463272,
-0.0353962779045105,
-0.019045431166887283,
-0.052862461656332016,
-0.017614996060729027,
-0.03901867941021919,
-0.0005205936031416059,
-0.015337835066020489,
0.036132048815488815,
0.022605830803513527,
0.028090042993426323,
-0.0033069574274122715,
0.027432208880782127,
-0.009780190885066986,
0.016705427318811417,
-0.05038592964410782,
0.020974168553948402,
0.06434514373540878,
-0.0022578497882932425,
0.001572268083691597,
-0.07098160684108734,
-0.0279134102165699,
-0.03136690333485603,
-0.040495846420526505,
0.05300945043563843,
-0.03602684661746025,
0.02589787170290947,
0.00502178305760026,
0.05124548822641373,
0.005816485732793808,
-0.07273948192596436,
0.02091013826429844,
-0.0799659788608551,
0.03308553248643875,
-0.07148250937461853,
-0.006553604267537594,
0.034766945987939835,
-0.07293800264596939,
0.006398607045412064,
0.013718627393245697,
-0.030682558193802834,
0.04316464811563492,
-0.03925260528922081,
-0.03431267291307449,
-0.012794844806194305,
-0.01350456103682518,
0.01303151622414589,
0.053649842739105225,
-0.050743307918310165,
-0.009601425379514694,
0.0029919787775725126,
-0.017761018127202988,
0.011434090323746204,
0.05322420224547386,
0.04676301032304764,
-0.0003767537127714604,
-0.010734976269304752,
-0.01937982812523842,
0.023634379729628563,
0.008968901820480824,
0.034622713923454285,
0.03768910840153694,
0.013296723365783691,
-0.030012493953108788,
0.06877119839191437,
0.07416868209838867,
-0.00645266892388463,
0.016282329335808754,
0.01033624168485403,
-0.03193826973438263,
-0.035572897642850876,
0.025141488760709763,
-0.017709337174892426,
-0.028827641159296036,
-0.05234937742352486,
0.05975749343633652,
0.030027398839592934,
-0.07523715496063232,
-0.029369624331593513,
0.00655223336070776,
-0.0497436448931694,
0.026792054995894432,
-0.016007881611585617,
-0.013491017743945122,
-0.03856784850358963,
0.054163310676813126,
0.07279329001903534,
0.04091758653521538,
0.08141453564167023,
0.04517195746302605,
-0.023729152977466583,
0.015181777067482471,
0.08433479070663452,
0.07596728205680847,
0.05287623032927513,
-0.018199468031525612,
0.054320767521858215,
-0.032808177173137665,
-0.052409399300813675,
0.015062046237289906,
0.03703191131353378,
-0.037498340010643005,
-0.0325096994638443,
0.03508264943957329,
0.09289558976888657,
0.016312871128320694,
0.06545136868953705,
-0.0552695170044899,
0.01310379896312952,
0.06073368713259697,
0.043613873422145844,
-0.005764584057033062,
0.053858209401369095,
0.0051104845479130745,
0.024903271347284317,
-0.019516026601195335,
-0.0012746895663440228,
-0.007788145449012518,
0.009504945948719978,
0.030325980857014656,
0.008358050137758255,
-0.008716762065887451,
0.011198937892913818,
-0.04353495314717293,
0.022712120786309242,
0.09971130639314651,
-0.013170691207051277,
-0.05363422632217407,
-0.0009823805885389447,
0.0032151832710951567,
-0.004221153911203146,
0.04841567948460579,
-0.0017065940191969275,
0.013820989057421684,
0.011331754736602306,
-0.041008491069078445,
0.04061121121048927,
0.010659283958375454,
0.008146240375936031,
0.003714241785928607,
-0.014477210119366646,
-0.03166840225458145,
0.0249734316021204,
0.012534396722912788,
-0.051859091967344284,
-0.021271437406539917,
-0.0311503317207098,
-0.04365761578083038,
-0.038654208183288574,
-0.03766812011599541,
0.012226646766066551,
-0.0016669295728206635,
-0.012286278419196606,
-0.01845196820795536,
-0.03983217850327492,
0.044060077518224716,
-0.00961957685649395,
-0.038386158645153046,
-0.011083927936851978,
0.04277551919221878,
-0.027214795351028442,
-0.02188861183822155,
0.0461575947701931,
0.04250834509730339,
0.01850620098412037,
0.0017504311399534345,
0.024785922840237617,
0.006303881295025349,
0.033506881445646286,
0.010618932545185089,
-0.00728181516751647,
-0.083456851541996,
0.003897047135978937,
0.05073845386505127,
-0.018717831000685692,
-0.07357405871152878,
0.03462262824177742,
-0.039075419306755066,
-0.004833083599805832,
0.0625998005270958,
0.014714849181473255,
0.024728022515773773,
-0.021454166620969772,
-0.05575945973396301,
-0.009472896344959736,
0.021967120468616486,
0.033240608870983124,
-0.040815647691488266,
0.059549640864133835,
0.01770881377160549,
0.010430630296468735,
-0.054447662085294724,
0.04698117822408676,
0.006754667963832617,
-0.02273782715201378,
-0.0127654317766428,
-0.009270315058529377,
-0.05360409989953041,
-0.0839758887887001,
-0.015020170249044895,
0.020510107278823853,
-0.008137818425893784,
-0.02216321974992752,
0.002358174417167902,
0.0001241274003405124,
-0.024587882682681084,
-0.011874644085764885,
-0.04071842506527901,
-0.021753525361418724,
-0.055419400334358215,
-0.03511020541191101,
-0.06228010728955269,
0.015634803101420403,
-0.025103356689214706,
-0.01901894249022007,
-0.013874907046556473,
-0.05920693650841713,
-0.01329908985644579,
0.017177702859044075,
0.022145861759781837,
0.01568630337715149,
0.009730400517582893,
0.00940760225057602
] | null |
528 |
Diverging Preferences: When do Annotators Disagree and do Models Know?
|
https://openreview.net/forum?id=qWgAAVhoXb
|
[
"Michael JQ Zhang",
"Zhilin Wang",
"Jena D. Hwang",
"Yi Dong",
"Olivier Delalleau",
"Yejin Choi",
"Eunsol Choi",
"Xiang Ren",
"Valentina Pyatkin"
] |
Poster
|
We examine diverging preferences in human-labeled preference datasets. We develop a taxonomy of disagreement sources spanning ten categories across four high-level classes and find that the majority of disagreements are due to factors such as task underspecification or response style. Our findings challenge a standard assumption in reward modeling methods that annotator disagreements can be attributed to simple noise. We then explore how these findings impact two areas of LLM development: reward modeling training and evaluation. In our experiments, we demonstrate how standard reward modeling (e.g., Bradley-Terry) and LLM-as-Judge evaluation methods fail to account for divergence between annotators. These findings highlight challenges in LLM evaluations, which are greatly influenced by divisive features like response style, and in developing pluralistically aligned LLMs. To address these issues, we develop methods for identifying diverging preferences to mitigate their influence in evaluations and during LLM training.
|
RLHF, Pluralistic Alignment
|
We examine diverging preferences in human-labeled preference datasets and their influences in reward modeling and LLM evaluations.
| 13,232 |
2410.14632
|
[
-0.016068551689386368,
-0.022144977003335953,
-0.023807033896446228,
0.03360883146524429,
0.02598721720278263,
-0.01799073815345764,
0.017592191696166992,
0.01698928140103817,
-0.02083575911819935,
-0.03257916867733002,
-0.02764996699988842,
0.06245691701769829,
-0.08145423233509064,
-0.031186286360025406,
-0.014284820295870304,
0.04286712780594826,
0.01627545990049839,
0.03984354808926582,
-0.008748609572649002,
-0.020137492567300797,
0.020919162780046463,
-0.031367845833301544,
-0.0008880498935468495,
0.005845195148140192,
0.042852867394685745,
0.00047554326010867953,
0.033323876559734344,
-0.037331487983465195,
-0.03951697424054146,
0.0033094866666942835,
0.02898751199245453,
-0.005306785926222801,
0.02638879045844078,
0.019948691129684448,
-0.020794782787561417,
-0.016907770186662674,
-0.0409269854426384,
-0.012479977682232857,
0.033176351338624954,
0.013688627630472183,
-0.04331883415579796,
0.023135902360081673,
-0.024775613099336624,
0.0019329990027472377,
-0.0552944540977478,
0.03469454124569893,
-0.07310708612203598,
0.02281850203871727,
-0.013045154511928558,
-0.03566182777285576,
-0.0806020125746727,
0.044938236474990845,
0.020831800997257233,
-0.013258049264550209,
0.02227623574435711,
0.022484950721263885,
0.03447072207927704,
-0.0872451663017273,
0.005797642283141613,
-0.0523054301738739,
-0.041391771286726,
0.035751983523368835,
0.01123841479420662,
-0.012152337469160557,
-0.0024677817709743977,
0.002971414476633072,
-0.006706177722662687,
0.03412109240889549,
-0.05980665981769562,
-0.007945121265947819,
-0.04890887811779976,
-0.004587313625961542,
0.0021199393086135387,
-0.006316554266959429,
-0.012157686986029148,
-0.051824744790792465,
0.02856503799557686,
0.02489849179983139,
0.04903965815901756,
-0.007429421413689852,
-0.009878149256110191,
0.03218561038374901,
0.04660298302769661,
0.044260911643505096,
0.04282490909099579,
-0.003261428326368332,
0.005751326214522123,
-0.04166560247540474,
-0.07166069746017456,
0.03066692315042019,
-0.011842038482427597,
-0.04654689133167267,
0.036650169640779495,
0.05226834863424301,
0.04349828138947487,
-0.005757100414484739,
0.028727706521749496,
-0.010620933957397938,
-0.0036633459385484457,
0.009336001239717007,
-0.0036592225078493357,
-0.020614130422472954,
0.027506742626428604,
0.013824869878590107,
-0.09173879772424698,
-0.05165904760360718,
0.010296817868947983,
-0.006191070657223463,
-0.0032988754101097584,
0.034152328968048096,
-0.07542786747217178,
-0.01663769781589508,
0.013839220628142357,
0.012640376575291157,
-0.06664644926786423,
0.011146309785544872,
0.003781127743422985,
-0.013996956869959831,
-0.01589028909802437,
0.0017676850548014045,
0.03018304333090782,
0.021546639502048492,
-0.02118692733347416,
0.0648423358798027,
-0.016338175162672997,
0.004941379185765982,
0.003478088416159153,
0.04079262167215347,
-0.014626070857048035,
-0.045074693858623505,
-0.004519850481301546,
0.05151988938450813,
-0.03542136773467064,
0.0018193322466686368,
-0.019566291943192482,
0.0020364467054605484,
0.04947105050086975,
-0.021664470434188843,
0.051891714334487915,
0.005648890044540167,
-0.0014073227066546679,
0.010730666108429432,
0.06289874017238617,
-0.013769427314400673,
0.07515610754489899,
-0.028529265895485878,
-0.00393414543941617,
-0.024626247584819794,
-0.03639531135559082,
-0.025191418826580048,
0.02489868737757206,
0.004606734495609999,
0.016702329739928246,
-0.035452742129564285,
0.03441217541694641,
0.041055548936128616,
0.009682388976216316,
0.0134251294657588,
0.02604392170906067,
0.02758614718914032,
-0.008357547223567963,
-0.020420512184500694,
-0.03693614900112152,
0.0022418703883886337,
0.01995256170630455,
-0.046354472637176514,
0.014638179913163185,
-0.00024338455114047974,
-0.03193729743361473,
0.04947695881128311,
-0.04132835194468498,
-0.021244218572974205,
0.025847380980849266,
-0.02008313685655594,
-0.023258492350578308,
0.02765863575041294,
0.049578335136175156,
0.04899141564965248,
0.0577823631465435,
0.03985172137618065,
-0.08289667218923569,
0.027174465358257294,
-0.012976202182471752,
-0.02262265421450138,
0.024392303079366684,
0.0043793609365820885,
0.057403068989515305,
-0.027657316997647285,
-0.006504900753498077,
0.06732527166604996,
-0.060731932520866394,
-0.01923418790102005,
0.037443697452545166,
-0.001784549094736576,
0.0736839696764946,
-0.005510829854756594,
-0.029770104214549065,
0.05019664019346237,
0.06116228178143501,
0.08665717393159866,
0.01044346485286951,
-0.012630926445126534,
0.0352322980761528,
0.010055385529994965,
-0.031067177653312683,
0.018900660797953606,
0.04429187253117561,
-0.04468008130788803,
-0.020708778873085976,
0.03564830869436264,
-0.04184010624885559,
0.023955494165420532,
0.01623644307255745,
0.019800789654254913,
0.035461362451314926,
-0.0011419663205742836,
0.015422424301505089,
0.005025332327932119,
0.007849673740565777,
-0.060363225638866425,
0.014614159241318703,
0.008336585015058517,
0.007231533993035555,
-0.022320443764328957,
-0.03773998096585274,
0.07830924540758133,
0.05003740265965462,
-0.022521862760186195,
-0.01893865503370762,
0.03159382939338684,
-0.017755109816789627,
0.0464634895324707,
0.04346546530723572,
-0.020062848925590515,
0.036620888859033585,
-0.01234181597828865,
0.020705610513687134,
-0.028888044878840446,
0.06458412855863571,
-0.038201704621315,
-0.027221763506531715,
0.08379195630550385,
-0.027088524773716927,
0.05270685255527496,
-0.05480583757162094,
0.022306466475129128,
0.007765274494886398,
0.00997644942253828,
-0.03322150185704231,
-0.013233400881290436,
-0.041528478264808655,
-0.0055954973213374615,
0.0000626109103905037,
-0.03835597634315491,
0.027012735605239868,
-0.06385515630245209,
0.0054800622165203094,
-0.0053618112578988075,
0.033914174884557724,
0.03975941613316536,
0.036079615354537964,
0.038927145302295685,
-0.02009357139468193,
-0.05313700810074806,
0.01998188905417919,
-0.11544664949178696,
-0.037640251219272614,
0.013120915740728378,
0.0371515117585659,
0.020373186096549034,
0.053076907992362976,
-0.005807928275316954,
0.02127636969089508,
-0.020819419994950294,
-0.012649965472519398,
0.0334501750767231,
0.013482926413416862,
-0.00960872694849968,
-0.018160037696361542,
-0.020382964983582497,
-0.026911519467830658,
0.04039720073342323,
-0.019293658435344696,
-0.04162243381142616,
0.0026816092431545258,
-0.03215039148926735,
-0.006138814613223076,
-0.025853123515844345,
-0.03599376976490021,
0.020458335056900978,
0.037529341876506805,
0.011712102219462395,
0.03989087790250778,
0.03533169999718666,
0.02586446888744831,
0.03990665078163147,
0.035969723016023636,
0.02811836078763008,
0.00024444455630145967,
0.04429713636636734,
-0.009710367769002914,
0.03253955766558647,
0.03503919765353203,
0.017098698765039444,
0.04561752453446388,
0.0051488205790519714,
0.02317732945084572,
0.010331537574529648,
-0.257521390914917,
-0.028283551335334778,
0.041774000972509384,
-0.022793952375650406,
-0.0014082669513300061,
-0.020971620455384254,
0.056753721088171005,
-0.05085647478699684,
-0.01823229156434536,
0.030125761404633522,
-0.0027231399435549974,
0.024148430675268173,
0.02101774327456951,
0.07279080152511597,
0.030200663954019547,
0.041748978197574615,
-0.002736167749390006,
-0.019026611000299454,
-0.006094976328313351,
0.040560703724622726,
-0.032758679240942,
-0.06437700241804123,
-0.054963063448667526,
0.04091333597898483,
0.014071452431380749,
0.06097080931067467,
-0.038659632205963135,
0.007360804360359907,
-0.04082133248448372,
0.003056346205994487,
0.01056387647986412,
-0.0055666822008788586,
-0.02620275504887104,
0.02251536212861538,
0.02982112392783165,
-0.01126647088676691,
0.020546147599816322,
-0.03388775885105133,
0.018059760332107544,
0.05891067162156105,
0.02841815911233425,
-0.027560235932469368,
-0.02215464413166046,
0.026934070512652397,
0.04500524327158928,
0.01938142068684101,
-0.05935630947351456,
-0.01701311394572258,
-0.025798020884394646,
0.01915084384381771,
0.0161566324532032,
-0.02184600941836834,
-0.052967194467782974,
0.018372049555182457,
-0.014202776364982128,
0.004720013123005629,
0.008109367452561855,
-0.04046450927853584,
-0.010890149511396885,
-0.014007603749632835,
-0.0003544022620189935,
-0.05564723536372185,
-0.037701040506362915,
0.004996579140424728,
-0.04990725964307785,
-0.01438860222697258,
-0.07537146657705307,
-0.027608273550868034,
0.045592404901981354,
0.05116119980812073,
-0.02287432923913002,
0.016717463731765747,
-0.013748131692409515,
-0.09554402530193329,
0.015937210991978645,
-0.004095993936061859,
-0.006523368880152702,
-0.021650558337569237,
-0.01219184696674347,
0.03306860104203224,
-0.023203952237963676,
-0.020755983889102936,
0.013933883048593998,
0.0000365221276297234,
0.025376059114933014,
-0.012146425433456898,
-0.015464358031749725,
0.03440816327929497,
-0.03914928063750267,
-0.019746512174606323,
0.020749209448695183,
0.02631150558590889,
-0.03567737340927124,
-0.019440827891230583,
0.043544165790081024,
0.049802497029304504,
0.016118882223963737,
0.03604843467473984,
0.026951849460601807,
0.012809058651328087,
0.01311227586120367,
-0.10674431920051575,
-0.021172229200601578,
-0.04096094146370888,
-0.023142119869589806,
0.029245229437947273,
-0.079636350274086,
-0.007161196321249008,
0.029716551303863525,
-0.019598789513111115,
-0.027563052251935005,
-0.014828559942543507,
-0.013871333561837673,
-0.007797891274094582,
-0.029934316873550415,
-0.03651552274823189,
-0.02652365155518055,
0.03538307175040245,
0.017867133021354675,
0.013132808730006218,
-0.012216221541166306,
0.02237091027200222,
-0.012627942487597466,
0.019819697365164757,
-0.027725910767912865,
-0.008120059035718441,
-0.020314328372478485,
-0.06970613449811935,
-0.03279663994908333,
0.019978024065494537,
0.023285148665308952,
0.01154504157602787,
-0.005247603636234999,
0.036342691630125046,
0.03345562145113945,
0.01130719669163227,
0.002016563666984439,
0.001515570911578834,
0.020164916291832924,
-0.05800412595272064,
0.03219272941350937,
-0.031128177419304848,
0.02716611698269844,
0.04377114772796631,
0.041327331215143204,
-0.010948547162115574,
-0.028049807995557785,
-0.0247801523655653,
-0.01578654535114765,
0.015894049778580666,
0.05157238245010376,
-0.039955466985702515,
-0.013365345075726509,
-0.04111889377236366,
0.02591969259083271,
0.007871685549616814,
-0.001195584423840046,
0.01041006576269865,
0.011756333522498608,
-0.07067786902189255,
0.03777626156806946,
-0.013958382420241833,
-0.02231878973543644,
0.003996092360466719,
0.0007937767659313977,
0.03000715933740139,
-0.04093289375305176,
-0.03126043081283569,
0.015972252935171127,
0.014460871927440166,
0.03851593658328056,
-0.048821039497852325,
-0.0029573598876595497,
-0.02686878852546215,
-0.03867971897125244,
-0.01022940780967474,
0.042155440896749496,
-0.030666768550872803,
-0.05837823450565338,
0.0695023313164711,
-0.024377137422561646,
-0.019731860607862473,
0.012955866754055023,
-0.01882747747004032,
0.07071428745985031,
0.007342795841395855,
0.02623954601585865,
0.021695127710700035,
-0.011280643753707409,
0.0027138744480907917,
-0.013062290847301483,
-0.0035766081418842077,
-0.009623129852116108,
-0.04365863651037216,
-0.054640382528305054,
-0.02147842012345791,
0.0023155114613473415,
-0.005117332097142935,
0.003210091730579734,
-0.041785769164562225,
-0.05434213578701019,
0.03316611424088478,
-0.020456118509173393,
-0.04796423763036728,
0.05176850035786629,
-0.08829227089881897,
0.029063722118735313,
0.010265812277793884,
-0.048793405294418335,
0.0459841750562191,
-0.06397659331560135,
-0.08417119085788727,
-0.06455770879983902,
-0.011336381547152996,
0.04409917816519737,
-0.030341241508722305,
-0.02179839462041855,
-0.0500967875123024,
-0.01596732996404171,
0.0416761115193367,
0.004472780507057905,
-0.024492871016263962,
-0.023147426545619965,
0.010744052939116955,
-0.004785430151969194,
0.01598050259053707,
-0.03156337887048721,
0.004678439348936081,
0.021551463752985,
-0.015413540415465832,
0.037335146218538284,
-0.04225103184580803,
0.023404991254210472,
0.05462496727705002,
-0.0056999726220965385,
-0.015611090697348118,
-0.036896076053380966,
0.04465668275952339,
0.00009864287858363241,
-0.005570605397224426,
-0.00938487146049738,
0.002743238816037774,
-0.00914038810878992,
-0.0009156498708762228,
0.025691716000437737,
0.01914004608988762,
0.02108480967581272,
0.008771202526986599,
-0.01500680297613144,
0.02858862280845642,
0.0037605445832014084,
-0.0008602257003076375,
-0.03674761578440666,
0.04007421061396599,
0.07665969431400299,
-0.014701473526656628,
-0.02419346012175083,
-0.06063675135374069,
-0.051395516842603683,
-0.004338452592492104,
0.004269730299711227,
0.010503959842026234,
-0.04176434129476547,
0.03688110038638115,
0.016359549015760422,
0.03625927492976189,
0.023306190967559814,
-0.01568666473031044,
0.004121959675103426,
-0.05085358768701553,
-0.00046304025454446673,
-0.05068068951368332,
0.000347807101206854,
0.05840805172920227,
-0.031839191913604736,
0.003410500707104802,
-0.027752192690968513,
-0.05352947488427162,
0.07230161130428314,
-0.03558093681931496,
-0.03996706381440163,
-0.001909370068460703,
-0.04365776479244232,
0.010857617482542992,
0.0691894069314003,
-0.08420385420322418,
-0.01655375398695469,
-0.033585451543331146,
-0.06386735290288925,
-0.01665816828608513,
-0.033971864730119705,
0.057322703301906586,
-0.004666897002607584,
0.0022735062520951033,
-0.024328984320163727,
0.005096137057989836,
0.033808134496212006,
0.055099185556173325,
-0.008756833150982857,
-0.006107560358941555,
-0.040816158056259155,
0.05370703339576721,
0.056398678570985794,
0.009818492457270622,
0.029469678178429604,
0.016487719491124153,
0.008800656534731388,
-0.06253974884748459,
0.053646691143512726,
0.016428913921117783,
-0.022103317081928253,
-0.05074619501829147,
0.05464382842183113,
0.024247821420431137,
-0.0418490394949913,
-0.015604199841618538,
0.031976547092199326,
-0.05319460481405258,
0.022509051486849785,
0.02263031341135502,
0.03213581070303917,
-0.004102641716599464,
0.08711254596710205,
0.03788070008158684,
0.07720968127250671,
0.05594749376177788,
0.02833377942442894,
-0.026976101100444794,
0.06578707695007324,
0.06634265184402466,
0.045609500259160995,
0.0881035327911377,
0.02612403780221939,
0.05937283858656883,
-0.017390498891472816,
-0.06416122615337372,
-0.004711103159934282,
0.039899714291095734,
-0.0210917629301548,
-0.019342981278896332,
-0.006804725620895624,
0.034413717687129974,
0.015054861083626747,
0.043430209159851074,
-0.041842762380838394,
-0.020540744066238403,
0.049163591116666794,
0.009179259650409222,
0.0025452375411987305,
0.013761975802481174,
0.005965210031718016,
-0.004353988450020552,
-0.013973869383335114,
-0.0017172226216644049,
0.006918509025126696,
-0.020640136674046516,
-0.0018167796079069376,
0.012408215552568436,
-0.04579297453165054,
0.010672726668417454,
-0.010625368915498257,
0.07255685329437256,
0.113313689827919,
-0.053364697843790054,
0.004021224565804005,
0.014058699831366539,
0.0022502467036247253,
0.026316773146390915,
0.01026416290551424,
-0.0017224926268681884,
0.018073810264468193,
0.00015578368038404733,
-0.03641721233725548,
-0.02005106769502163,
0.038189519196748734,
0.010625984519720078,
0.022864431142807007,
-0.053494375199079514,
0.030139271169900894,
0.03222308307886124,
0.0319649875164032,
-0.038086868822574615,
-0.03504243865609169,
-0.011156618595123291,
-0.03337102383375168,
-0.049371734261512756,
-0.03478292375802994,
0.02076674811542034,
0.01577465981245041,
-0.059718482196331024,
0.012681362219154835,
0.0007737314444966614,
0.04373005032539368,
0.014327709563076496,
-0.07450152188539505,
0.011372457258403301,
0.030459575355052948,
0.027947397902607918,
-0.017185918986797333,
-0.0013584895059466362,
0.016944250091910362,
-0.02246549353003502,
-0.03477228432893753,
0.03526623919606209,
-0.007540895137935877,
0.01771252043545246,
-0.02539573423564434,
-0.023017767816781998,
-0.08443555980920792,
0.0014030952006578445,
0.004667291883379221,
-0.03936596214771271,
-0.08036595582962036,
0.040789347141981125,
-0.04107237979769707,
-0.007630194537341595,
0.0920005515217781,
0.0617564395070076,
-0.004273708909749985,
-0.05104827508330345,
-0.011485218070447445,
-0.008062811568379402,
0.02860216610133648,
0.04506566375494003,
-0.023569241166114807,
0.028919652104377747,
0.020825618878006935,
-0.05246039852499962,
-0.050345491617918015,
0.01196213811635971,
-0.0008739851764403284,
-0.03882988542318344,
0.006595768500119448,
-0.04583115503191948,
-0.01001871470361948,
-0.07215753942728043,
-0.01282006036490202,
0.03776516020298004,
-0.014828221872448921,
-0.031724005937576294,
0.0007792830583639443,
-0.013278301805257797,
-0.03206523135304451,
-0.008543075062334538,
-0.01589439995586872,
-0.004632800817489624,
0.0022000065073370934,
-0.024591321125626564,
-0.07617373019456863,
0.011727063916623592,
-0.011068977415561676,
-0.005875809583812952,
-0.05078381672501564,
-0.025886978954076767,
-0.012535263784229755,
-0.0239044651389122,
0.018063655123114586,
0.019323397427797318,
0.022594617679715157,
-0.04174157977104187
] | null |
529 |
FACTER: Fairness-Aware Conformal Thresholding and Prompt Engineering for Enabling Fair LLM-Based Recommender Systems
|
https://openreview.net/forum?id=edN2rEemj6
|
[
"Arya Fayyazi",
"Mehdi Kamal",
"Massoud Pedram"
] |
Poster
|
We propose FACTER, a fairness-aware framework for LLM-based recommendation systems that integrates conformal prediction with dynamic prompt engineering. By introducing an adaptive semantic variance threshold and a violation-triggered mechanism, FACTER automatically tightens fairness constraints whenever biased patterns emerge. We further develop an adversarial prompt generator that leverages historical violations to reduce repeated demographic biases without retraining the LLM. Empirical results on MovieLens and Amazon show that FACTER substantially reduces fairness violations (up to 95.5%) while maintaining strong recommendation accuracy, revealing semantic variance as a potent proxy of bias.
|
Large Language Models, Conformal Prediction, Fairness, Repair, Embedding, Bias, Prompt Engineering, Adversarial
| null | 13,223 |
2502.02966
|
[
0.043544501066207886,
-0.041422247886657715,
0.01798837259411812,
0.01665659248828888,
0.02777150087058544,
-0.000516581698320806,
0.013117504306137562,
0.013101393356919289,
-0.040846142917871475,
-0.00008077971142483875,
-0.034316498786211014,
0.0277261920273304,
-0.059998538345098495,
0.006130652967840433,
-0.013490579091012478,
0.05664975196123123,
-0.006130104418843985,
0.023801328614354134,
-0.0004786287317983806,
-0.01717630960047245,
0.017430830746889114,
-0.018751369789242744,
0.030714573338627815,
-0.0009223130182363093,
0.0507950522005558,
0.029238330200314522,
0.027712339535355568,
0.001554418238811195,
-0.02268587425351143,
0.0355500802397728,
0.02967132441699505,
0.020014749839901924,
-0.01741756498813629,
0.00398228457197547,
-0.026758048683404922,
0.006795838009566069,
-0.027653595432639122,
0.043552473187446594,
0.003753132652491331,
0.02082609012722969,
-0.020376024767756462,
-0.0021243428345769644,
0.02360909804701805,
0.01869230717420578,
-0.04638439044356346,
-0.014117400161921978,
-0.08232796937227249,
0.030335526913404465,
0.009825542569160461,
-0.023837165907025337,
-0.08354721963405609,
0.04439445585012436,
-0.005969627760350704,
0.023767903447151184,
-0.012604797258973122,
0.03562692180275917,
0.0532694011926651,
-0.09164056926965714,
-0.005412475671619177,
-0.02053936757147312,
-0.058067187666893005,
0.06887118518352509,
0.038841310888528824,
-0.030661316588521004,
-0.0128766018897295,
-0.004033945966511965,
-0.034592993557453156,
0.028692858293652534,
-0.029295308515429497,
-0.030766073614358902,
-0.047749944031238556,
-0.002685962012037635,
0.0008212129469029605,
-0.016340073198080063,
-0.0023916044738143682,
-0.05085095018148422,
0.017549555748701096,
0.04923536628484726,
0.05113103240728378,
-0.008995289914309978,
-0.027425501495599747,
-0.02621592953801155,
0.053738947957754135,
0.047517720609903336,
0.027968615293502808,
0.01853208802640438,
-0.021790849044919014,
-0.041631925851106644,
-0.047013457864522934,
0.014978368766605854,
-0.0032485376577824354,
-0.06577841192483902,
0.03848768025636673,
0.028986386954784393,
0.026544541120529175,
-0.026948098093271255,
0.04763021320104599,
-0.00678206468001008,
0.025188004598021507,
0.0015709410654380918,
-0.02281971275806427,
-0.046667832881212234,
-0.00016978888015728444,
-0.017670920118689537,
-0.1368313878774643,
0.005464345682412386,
-0.04522739723324776,
-0.004992085974663496,
0.016530223190784454,
0.05240396782755852,
-0.03541943430900574,
0.019541315734386444,
0.03419829159975052,
0.011548829264938831,
-0.04965662956237793,
0.0294528566300869,
-0.008588760159909725,
0.0005882339319214225,
-0.0076111783273518085,
0.03274493291974068,
0.06114938110113144,
0.05413273349404335,
0.009709779173135757,
0.07333675026893616,
-0.018131393939256668,
0.012318081222474575,
0.02798006311058998,
0.01979726180434227,
-0.026564162224531174,
-0.03738277778029442,
0.03272109851241112,
0.03323248028755188,
-0.011578564532101154,
0.0036035107914358377,
-0.02709425985813141,
0.05710301175713539,
0.008799057453870773,
0.005261559505015612,
0.05352826416492462,
-0.007129440549761057,
0.02654373086988926,
-0.02037891000509262,
0.019566407427191734,
-0.025410521775484085,
0.08065405488014221,
-0.04374344274401665,
0.011202308349311352,
-0.010793082416057587,
-0.03907927870750427,
0.008298195898532867,
0.03622394800186157,
0.03067629039287567,
-0.0047692665830254555,
-0.04804449528455734,
0.031558625400066376,
0.035645078867673874,
0.03807308152318001,
-0.0031013786792755127,
-0.011985142715275288,
0.007523369509726763,
0.004701599478721619,
0.01461662445217371,
-0.06854081153869629,
0.0048289112746715546,
0.02198822982609272,
-0.024280861020088196,
0.006530504673719406,
0.011851244606077671,
-0.03437499329447746,
0.01832200586795807,
-0.025853250175714493,
0.01006838958710432,
0.04837894067168236,
-0.02812104858458042,
-0.025613853707909584,
0.03466438129544258,
0.039302535355091095,
0.0368075929582119,
0.03704163804650307,
0.05577566474676132,
-0.0690055638551712,
0.01667080819606781,
-0.005395079497247934,
-0.023014485836029053,
0.04814948886632919,
0.02598465234041214,
0.06753401458263397,
-0.01976078189909458,
0.012052253820002079,
0.02926730364561081,
-0.07024982571601868,
0.0030409398023039103,
0.02297280542552471,
0.0025156759656965733,
0.08103979378938675,
-0.008720620535314083,
0.01244901493191719,
0.05623093247413635,
0.003237565280869603,
0.041532911360263824,
0.049414537847042084,
-0.019676823168992996,
0.027699211612343788,
-0.010594298131763935,
-0.06638719141483307,
-0.023398904129862785,
0.019861599430441856,
-0.032359689474105835,
-0.049562837928533554,
0.036977991461753845,
-0.05177251994609833,
0.007698198780417442,
0.016167135909199715,
0.02999335527420044,
-0.03379541262984276,
-0.012704511173069477,
-0.015060476958751678,
-0.0016653090715408325,
-0.010701834224164486,
-0.035061441361904144,
0.057042643427848816,
0.012383712455630302,
-0.0027050471398979425,
0.014277979731559753,
-0.055800918489694595,
0.0886673778295517,
0.04766978695988655,
-0.04281257838010788,
-0.016621094197034836,
0.06672064960002899,
-0.007508596871048212,
-0.0029219696298241615,
0.017634043470025063,
-0.022715002298355103,
-0.013326267711818218,
-0.019471723586320877,
0.013883435167372227,
-0.005606075283139944,
0.09062083065509796,
-0.020623696967959404,
-0.0029805153608322144,
0.04299713298678398,
-0.01757097989320755,
0.053938888013362885,
0.016731230542063713,
0.04617234691977501,
0.0024123922921717167,
0.019652822986245155,
0.0037490176036953926,
-0.025501711294054985,
-0.01593846268951893,
-0.004795054905116558,
0.016796240583062172,
-0.052896950393915176,
-0.014046913012862206,
-0.03633083403110504,
0.008447736501693726,
0.03252163156867027,
0.044568873941898346,
0.045822035521268845,
0.013430094346404076,
0.017180688679218292,
0.010358395054936409,
-0.028444373980164528,
0.021729527041316032,
-0.09758158028125763,
-0.05120481178164482,
-0.0342927910387516,
0.022669309750199318,
0.015454074367880821,
0.04482954740524292,
-0.00752263655886054,
0.021665384992957115,
0.0016962799709290266,
0.015294711105525494,
0.011869579553604126,
0.05150669440627098,
0.007005181163549423,
-0.01187962107360363,
-0.021581506356596947,
0.010608955286443233,
0.0539884977042675,
-0.002247799187898636,
-0.029362963512539864,
-0.035709526389837265,
-0.04670773446559906,
0.019074274227023125,
-0.06872402131557465,
-0.028901247307658195,
0.02930266410112381,
-0.008786703459918499,
0.012333783321082592,
0.007115339860320091,
-0.00826252717524767,
0.021355226635932922,
0.032228998839855194,
0.00023221538867801428,
0.02117173746228218,
-0.009363190270960331,
0.009172593243420124,
-0.004442733246833086,
0.017964139580726624,
0.05602320656180382,
0.04542892053723335,
0.006827755365520716,
-0.006263252347707748,
0.014432075433433056,
-0.006226876750588417,
-0.28923800587654114,
-0.010976710356771946,
0.037987738847732544,
-0.018761295825242996,
-0.000650351750664413,
-0.0017425999976694584,
0.07200939208269119,
0.02595854550600052,
-0.004854285623878241,
0.006667958572506905,
-0.012264395132660866,
0.06449060142040253,
-0.006781681906431913,
0.03209705650806427,
0.03126896545290947,
0.06983201205730438,
0.005061477888375521,
-0.02823849767446518,
-0.0010695344535633922,
0.017598941922187805,
-0.031466852873563766,
-0.06810714304447174,
-0.028275836259126663,
0.028666902333498,
-0.023337287828326225,
0.0264421496540308,
-0.040823161602020264,
-0.0186416357755661,
-0.05605266988277435,
-0.037320543080568314,
0.049184754490852356,
-0.0052809761837124825,
-0.026746928691864014,
0.01297848392277956,
0.022425347939133644,
0.020949076861143112,
0.047682613134384155,
0.009590147994458675,
-0.002356210956349969,
0.017424169927835464,
0.03389810025691986,
-0.01163320243358612,
-0.03986001014709473,
0.027861105278134346,
0.04885203391313553,
0.022676702588796616,
-0.04601970687508583,
-0.011753182858228683,
-0.004825958516448736,
-0.006613677367568016,
-0.004070070572197437,
-0.04435887187719345,
-0.041935164481401443,
0.019791048020124435,
0.00613879831507802,
-0.02956133335828781,
-0.004331447649747133,
-0.012689294293522835,
-0.03974300995469093,
-0.008361800573766232,
-0.0013162906980141997,
-0.045763395726680756,
0.0006927288486622274,
0.013942948542535305,
-0.02903600223362446,
-0.054616719484329224,
-0.0952911227941513,
-0.0627712607383728,
0.03369761258363724,
0.05344858393073082,
0.0026680792216211557,
0.03165207803249359,
0.008557381108403206,
-0.10466825217008591,
0.011248704046010971,
0.017047759145498276,
-0.019113028421998024,
0.009174228645861149,
-0.014184566214680672,
0.029087364673614502,
-0.02535858005285263,
-0.013401941396296024,
0.0028946618549525738,
-0.0009057057905010879,
-0.0023254137486219406,
-0.030274590477347374,
0.03251868858933449,
-0.006389134097844362,
-0.03834947571158409,
-0.03905313462018967,
0.023024164140224457,
0.0005020177341066301,
0.017859792336821556,
0.01037819404155016,
0.058769531548023224,
0.007404875010251999,
0.02466990426182747,
0.08319257199764252,
0.03608877584338188,
0.015066662803292274,
0.03385172784328461,
-0.09820762276649475,
0.012944014742970467,
-0.06479956954717636,
-0.011339333839714527,
0.022417208179831505,
-0.028186889365315437,
-0.020297937095165253,
0.05304769054055214,
-0.043896619230508804,
-0.03223665431141853,
0.0032041494268924,
-0.01769150048494339,
0.006625532638281584,
-0.008080575615167618,
-0.04088559001684189,
-0.026491688564419746,
0.02450832538306713,
0.020844828337430954,
-0.0060245441272854805,
-0.03123108111321926,
0.005950721446424723,
-0.005790275987237692,
0.025976069271564484,
-0.04075820744037628,
-0.033078864216804504,
-0.0391075573861599,
-0.013840126805007458,
0.0065895505249500275,
-0.007848585955798626,
0.024940891191363335,
0.060539670288562775,
-0.017408329993486404,
-0.010683423839509487,
0.0579795204102993,
-0.028710758313536644,
0.008299419656395912,
0.002688422566279769,
0.024150483310222626,
0.029139112681150436,
0.01758800819516182,
-0.006182942073792219,
0.05501919612288475,
0.023909755051136017,
0.06838861852884293,
-0.007343759294599295,
0.014527279883623123,
0.007291385903954506,
0.012557120993733406,
0.016882948577404022,
-0.014780833385884762,
-0.039640337228775024,
0.028654670342803,
-0.04261448606848717,
0.017816433683037758,
-0.02019348368048668,
0.002670014975592494,
-0.004958457313477993,
0.030339382588863373,
-0.09210672974586487,
0.014123024418950081,
0.03326524421572685,
-0.010468928143382072,
0.0052898298017680645,
0.043418508023023605,
0.02608858235180378,
-0.03122393973171711,
-0.0026664375327527523,
0.027947910130023956,
0.02421441301703453,
-0.0037388752680271864,
0.015039745718240738,
0.001211926806718111,
-0.009817521087825298,
-0.0474797822535038,
-0.005633605178445578,
0.010467683896422386,
-0.030376415699720383,
-0.05532940477132797,
0.046458207070827484,
-0.014541487209498882,
0.0103819090873003,
0.008387216366827488,
-0.005162362940609455,
0.05495830252766609,
-0.010293361730873585,
-0.027665797621011734,
0.02282187156379223,
-0.03183293715119362,
-0.001346800709143281,
-0.026508118957281113,
-0.010013462044298649,
-0.03691476956009865,
-0.06340406090021133,
-0.032030005007982254,
-0.09458217024803162,
0.016872629523277283,
-0.022551069036126137,
-0.03399773687124252,
-0.03057343326508999,
-0.021383976563811302,
0.0211813822388649,
-0.05921803414821625,
-0.04071319103240967,
0.0211834404617548,
-0.09128343313932419,
0.010952861979603767,
-0.0183828417211771,
-0.03856664150953293,
0.03278227895498276,
-0.060749318450689316,
-0.074244424700737,
-0.029984772205352783,
-0.03141779825091362,
0.040388189256191254,
-0.08551602065563202,
-0.03651329129934311,
-0.03334126994013786,
0.003285416169092059,
-0.007340613286942244,
0.008468717336654663,
-0.0413464792072773,
0.015963997691869736,
-0.0026402578223496675,
0.0015290533192455769,
0.052185382694005966,
-0.035290464758872986,
-0.04254899546504021,
0.0047402712516486645,
-0.021921783685684204,
-0.016530446708202362,
-0.062093134969472885,
0.007880141958594322,
0.027321256697177887,
-0.025776198133826256,
0.01635885238647461,
-0.06405996531248093,
0.021355992183089256,
-0.01219716016203165,
-0.0013550029834732413,
-0.0030778420623391867,
-0.0379553884267807,
-0.0501052625477314,
-0.007748654577881098,
0.010253244079649448,
0.04816726595163345,
-0.036397576332092285,
0.005340477451682091,
0.00007579009252367541,
0.02213798277080059,
-0.003206019289791584,
-0.04644918814301491,
-0.05601174384355545,
-0.014610318467020988,
0.03614954277873039,
-0.0391094833612442,
0.018137305974960327,
-0.0691920816898346,
-0.019839759916067123,
0.03687753155827522,
-0.0024857984390109777,
0.024679597467184067,
-0.0026573333889245987,
0.02605294995009899,
-0.022203657776117325,
0.01820870116353035,
0.012911736965179443,
-0.006013712380081415,
0.04220341145992279,
-0.012637791223824024,
-0.008823868818581104,
-0.043677281588315964,
0.04366878792643547,
0.04663143679499626,
-0.0353490449488163,
0.01601583883166313,
-0.020232558250427246,
-0.041239261627197266,
0.04458477348089218,
-0.03434491530060768,
-0.06834294646978378,
-0.01909685879945755,
-0.024886691942811012,
-0.017305325716733932,
0.06573795527219772,
-0.028972335159778595,
0.011921686120331287,
0.02659197337925434,
-0.055076517164707184,
0.0022052638232707977,
-0.04434267058968544,
0.05451539158821106,
-0.008135453797876835,
0.004996219649910927,
-0.012707679532468319,
-0.004133324604481459,
0.0325324647128582,
0.06315313279628754,
-0.025137461721897125,
0.020891619846224785,
-0.01306102704256773,
0.021092241629958153,
0.04355938732624054,
0.009400815702974796,
0.04855552315711975,
0.04088643193244934,
-0.008973391726613045,
-0.027755366638302803,
0.05261893942952156,
-0.01641194522380829,
-0.04906634986400604,
-0.06957405060529709,
0.0519714392721653,
0.029535526409745216,
-0.04857942461967468,
-0.0064888205379247665,
0.0032759804744273424,
-0.005600867327302694,
0.015194212086498737,
-0.017531223595142365,
-0.0012051297817379236,
0.015484726056456566,
0.08007051795721054,
0.01394928339868784,
0.05653195455670357,
0.06496161967515945,
-0.00371827301569283,
0.01095946691930294,
0.0033697125036269426,
0.05793999880552292,
0.07942028343677521,
0.03913877531886101,
-0.03191177919507027,
0.07498835027217865,
-0.0176811832934618,
-0.06586694717407227,
-0.011152350343763828,
-0.014742500148713589,
-0.00898788683116436,
-0.047638602554798126,
-0.02703084982931614,
0.06746061146259308,
0.026903659105300903,
0.0570753738284111,
-0.058358658105134964,
0.024069905281066895,
0.04529981315135956,
0.03925510123372078,
0.007880259305238724,
0.027152737602591515,
0.015795035287737846,
-0.010739481076598167,
-0.07236497104167938,
-0.010950809344649315,
0.01208962220698595,
-0.017138611525297165,
0.023501642048358917,
0.011449418030679226,
-0.021817432716488838,
0.022936910390853882,
-0.027469882741570473,
0.013589289039373398,
0.10894142836332321,
-0.032570358365774155,
-0.044726744294166565,
0.0369059257209301,
-0.008189616724848747,
0.021578818559646606,
0.03223042190074921,
0.021043915301561356,
-0.009864826686680317,
0.018648752942681313,
-0.04607144370675087,
0.04103810340166092,
0.03188962861895561,
0.005705135874450207,
0.0210063848644495,
-0.04208383709192276,
-0.002094647381454706,
0.006763172801584005,
0.03057875484228134,
-0.02958037331700325,
-0.01988554559648037,
-0.005841078236699104,
-0.02008378691971302,
-0.036417748779058456,
-0.0004789894155692309,
-0.0014698657905682921,
0.03635835275053978,
-0.052524518221616745,
0.004058364313095808,
-0.021690888330340385,
0.015852147713303566,
0.0017122813733294606,
-0.08055724203586578,
0.0028511276468634605,
0.03905249014496803,
0.025170348584651947,
-0.0290259700268507,
0.0034572891891002655,
0.013358051888644695,
0.015483088791370392,
-0.004747292492538691,
0.01175154559314251,
0.020293692126870155,
0.020802706480026245,
-0.015582580119371414,
-0.031207934021949768,
-0.07715791463851929,
0.029341988265514374,
0.005458190105855465,
-0.043841492384672165,
-0.07391876727342606,
0.026734748855233192,
-0.015353345312178135,
0.045907460153102875,
0.05488453432917595,
0.03758435323834419,
0.003084048628807068,
-0.030177753418684006,
0.0024030343629419804,
0.004741140175610781,
0.03850066661834717,
0.02415473200380802,
-0.016542522236704826,
0.05757967755198479,
-0.012274795211851597,
-0.05941068381071091,
-0.031528323888778687,
0.0587192103266716,
-0.005918312352150679,
-0.046162888407707214,
-0.04621051251888275,
-0.03284427151083946,
-0.009331632405519485,
-0.06786642223596573,
-0.03093530982732773,
0.010924036614596844,
-0.014052997343242168,
-0.04197632893919945,
-0.02484419383108616,
0.013699652627110481,
-0.029504379257559776,
-0.03540761023759842,
-0.00464610056951642,
0.02547074668109417,
-0.02965335175395012,
-0.029061969369649887,
-0.07029296457767487,
0.011761913076043129,
-0.01466086134314537,
-0.024562887847423553,
-0.03460009768605232,
-0.033828381448984146,
0.0018303175456821918,
-0.015805337578058243,
0.05221046134829521,
0.01022723875939846,
0.029294177889823914,
-0.006419562269002199
] |
https://github.com/AryaFayyazi/FACTER
|
530 |
Adaptive Partitioning Schemes for Optimistic Optimization
|
https://openreview.net/forum?id=rA2P4H7Dep
|
[
"Raja Sunkara",
"Ardhendu Tripathy"
] |
Poster
|
Applications such as engineering design often require us to optimize a black-box function, i.e., a system whose inner processing is not analytically known and whose gradients are not available. Practitioners often have a fixed budget for the number of function evaluations and the performance of an optimization algorithm is measured by its simple regret. In this paper, we study the class of ``Optimistic Optimization'' algorithms for black-box optimization that use a partitioning scheme for the domain. We develop algorithms that learn a good partitioning scheme and use flexible surrogate models such as neural networks in the optimization procedure. For multi-index functions on an $m$-dimensional subspace within $d$ dimensions, our algorithm attains $\tilde{O}(n^{-\beta / d})$ regret, where $\beta = 1 + \frac{d-m}{2m-1}$, as opposed to $\tilde{O}(n^{-1/d})$ for SequOOL, a state-of-the-art optimistic optimization algorithm. Our approach is competitive across a wide range of numerical benchmarks. Additionally, we introduce weight quantization in a large language model as a novel task for black-box optimization. Our approach improves the quality of Activation-aware Weight Quantization (AWQ) of the OPT-1.3B model, achieving an approximate 10\% improvement in performance relative to the best possible unquantized model.
|
discrete optimization, derivative-free optimization, black-box function, regret bounds, subspace learning, neural networks, surrogate modeling
| null | 13,222 | null |
[
-0.03052733838558197,
-0.016904814168810844,
0.00930868461728096,
0.045088060200214386,
0.02506895549595356,
0.07440071552991867,
0.0030816798098385334,
-0.003961249254643917,
-0.02198219485580921,
-0.026797201484441757,
0.003335170214995742,
0.013673410750925541,
-0.06087149679660797,
-0.007827594876289368,
-0.01773110032081604,
0.04305071383714676,
0.022177359089255333,
-0.006133262068033218,
0.020537398755550385,
0.026727208867669106,
0.020903591066598892,
-0.018930163234472275,
-0.0054660881869494915,
0.04456650838255882,
0.05095357820391655,
0.0034985693637281656,
0.04219183698296547,
0.030220162123441696,
-0.026575278490781784,
-0.023353414610028267,
0.030471082776784897,
0.01498478464782238,
0.015120932832360268,
-0.03327642008662224,
0.02394304797053337,
0.016078408807516098,
-0.036624617874622345,
0.014165922999382019,
0.008221404626965523,
0.03669505566358566,
-0.03593379259109497,
0.03228721395134926,
-0.0060297236777842045,
0.03811488673090935,
-0.0464932881295681,
0.019581681117415428,
-0.0902562364935875,
-0.021444084122776985,
-0.015738176181912422,
-0.03350578621029854,
-0.08646492660045624,
0.03072965145111084,
0.023584755137562752,
-0.014504008926451206,
0.005684444215148687,
0.026933779940009117,
0.058140888810157776,
-0.06686136871576309,
-0.010040706023573875,
-0.05467886105179787,
-0.0331217497587204,
0.03304097428917885,
0.012287883087992668,
0.00992785394191742,
-0.005726727191358805,
-0.005357399582862854,
0.0027295721229165792,
0.025949226692318916,
-0.055871374905109406,
-0.005030185449868441,
-0.04073822870850563,
-0.016876185312867165,
0.04140813276171684,
-0.006571037694811821,
0.0050763925537467,
-0.01395009458065033,
0.016119595617055893,
0.016112957149744034,
0.04828214645385742,
-0.03460083156824112,
0.021755902096629143,
0.02818375639617443,
0.02110454998910427,
0.0394027903676033,
0.020617587491869926,
0.004474393092095852,
-0.027930155396461487,
-0.022011468186974525,
-0.10355003923177719,
0.0472005270421505,
-0.009191284887492657,
-0.03742673248052597,
0.018766984343528748,
0.03447066619992256,
-0.0038520279340445995,
0.003943705465644598,
0.04007416218519211,
0.002996511058881879,
0.03651381656527519,
0.002388190710917115,
0.0008359604980796576,
-0.01794067583978176,
-0.011360804550349712,
-0.03995934873819351,
-0.08840030431747437,
-0.008470375090837479,
-0.021110961213707924,
-0.005273998249322176,
0.004279307089745998,
-0.014993677847087383,
-0.037402573972940445,
0.018054641783237457,
0.011263511143624783,
-0.03212540224194527,
-0.08064411580562592,
-0.003336807247251272,
-0.013810740783810616,
0.010525388643145561,
0.009618589654564857,
-0.023263350129127502,
0.060675736516714096,
0.058626219630241394,
-0.023745665326714516,
0.05915425717830658,
-0.005708856973797083,
0.005655634682625532,
0.04351595789194107,
0.04698540270328522,
-0.05652592331171036,
-0.06788673996925354,
0.009342098608613014,
0.04579553008079529,
-0.010306280106306076,
-0.0031688299495726824,
-0.027486193925142288,
-0.0010735398391261697,
-0.02327285334467888,
0.00007311136141652241,
0.052757568657398224,
-0.020934147760272026,
-0.0000901710955076851,
-0.0266182292252779,
0.07905653864145279,
-0.012227955274283886,
0.029350126162171364,
-0.04042534530162811,
0.028946351259946823,
-0.04000324755907059,
-0.057577650994062424,
-0.022052615880966187,
-0.009460813365876675,
0.0023233017418533564,
-0.05671686306595802,
-0.07895933091640472,
0.030133606866002083,
0.05180905759334564,
0.04629893600940704,
0.033277858048677444,
0.00640404038131237,
-0.004113399889320135,
0.01797095499932766,
0.01949307695031166,
-0.0279247984290123,
-0.0013045051600784063,
-0.0017699027666822076,
-0.04595435410737991,
0.09182460606098175,
0.021957095712423325,
-0.00559099530801177,
-0.005446313880383968,
-0.04718521609902382,
-0.047841690480709076,
0.06173379346728325,
0.004439796786755323,
-0.017420895397663116,
-0.008236751891672611,
0.09203238040208817,
-0.0010134123731404543,
0.04503576084971428,
0.037527792155742645,
-0.0897054523229599,
-0.007467441726475954,
0.008770700544118881,
0.025877198204398155,
0.017799586057662964,
-0.02472454123198986,
0.07662847638130188,
-0.026601139456033707,
0.009883815422654152,
0.04893060401082039,
-0.10451725125312805,
-0.02777751162648201,
0.014582132920622826,
-0.03341933339834213,
0.04372042417526245,
0.013594583608210087,
-0.030687103047966957,
0.03507443889975548,
-0.0035778204910457134,
0.031233910471200943,
0.0784672275185585,
-0.00019384200277272612,
0.01353766955435276,
-0.024071352556347847,
-0.04560144245624542,
0.006883203983306885,
0.07807032018899918,
-0.03712173178792,
-0.03283566236495972,
0.02418055571615696,
-0.01452866941690445,
0.00245470879599452,
0.0021883260924369097,
0.0051012663170695305,
0.027944309636950493,
-0.0031203296966850758,
-0.0021844892762601376,
-0.0012208486441522837,
0.027739616110920906,
-0.06800255924463272,
0.046969447284936905,
0.051072876900434494,
-0.01829334907233715,
0.014692633412778378,
-0.01297477725893259,
0.08369781821966171,
0.0736161321401596,
-0.06374171376228333,
0.012828236445784569,
0.008628349751234055,
0.011454283259809017,
0.011345063336193562,
-0.004714210983365774,
-0.015894398093223572,
0.02217021957039833,
0.02421322464942932,
-0.014162128791213036,
-0.026364145800471306,
0.0868263766169548,
-0.0399647057056427,
-0.03048202395439148,
0.04938988760113716,
-0.007806635927408934,
0.06100069731473923,
-0.00495598278939724,
0.014581145718693733,
0.027112282812595367,
-0.00040096582961268723,
-0.06105119735002518,
-0.01612338051199913,
-0.035658858716487885,
0.00900357961654663,
-0.0013912157155573368,
-0.014597761444747448,
0.009467712603509426,
-0.038279514759778976,
0.031798675656318665,
-0.018273619934916496,
0.050880853086709976,
0.05310745909810066,
0.003640451468527317,
0.0032805604860186577,
0.013178992085158825,
-0.04465227201581001,
0.007483130320906639,
-0.11613482236862183,
-0.05738158896565437,
0.007427294738590717,
0.05970187485218048,
0.016937360167503357,
0.01282266341149807,
-0.019801979884505272,
0.015168234705924988,
-0.015135655179619789,
-0.03905068337917328,
0.0024522326420992613,
0.04129981994628906,
0.006313189398497343,
-0.042394399642944336,
0.0037946030497550964,
0.024595890194177628,
0.06601070612668991,
-0.010816147550940514,
0.007469424046576023,
-0.012272908352315426,
-0.045712850987911224,
-0.005957483779639006,
-0.08710440993309021,
-0.0033760052174329758,
0.027273839339613914,
0.031406451016664505,
0.029099637642502785,
-0.024801382794976234,
0.029133902862668037,
0.06272286921739578,
0.06706978380680084,
0.042844079434871674,
0.011824567802250385,
-0.019264068454504013,
0.008604463189840317,
-0.00936850719153881,
-0.013666165992617607,
-0.027570296078920364,
0.004159272648394108,
-0.015381029807031155,
0.020926926285028458,
0.002590003190562129,
0.011020352132618427,
-0.2803533971309662,
-0.00534873316064477,
0.03953580558300018,
-0.0008029149612411857,
0.023681769147515297,
-0.023393195122480392,
0.01420434471219778,
-0.002625999040901661,
-0.030164944007992744,
-0.019274283200502396,
0.00020680794841609895,
0.021945198997855186,
0.03530653566122055,
0.057310983538627625,
0.04251931607723236,
0.03782017529010773,
-0.0000680175144225359,
-0.01690332032740116,
-0.008013609796762466,
0.002562460256740451,
-0.020510893315076828,
-0.10203824937343597,
-0.0013216520892456174,
0.01480221189558506,
-0.0035097221843898296,
0.04446171224117279,
-0.09276379644870758,
0.000743233656976372,
-0.021940087899565697,
-0.0014685847563669086,
-0.03667472302913666,
-0.020954793319106102,
-0.021986164152622223,
0.037839241325855255,
0.016941945999860764,
-0.020652294158935547,
0.010608823038637638,
-0.02878624200820923,
0.040667999535799026,
0.06954541057348251,
-0.00017331440176349133,
-0.010681869462132454,
-0.052408367395401,
0.024874145165085793,
0.044642407447099686,
0.04504527896642685,
-0.041152432560920715,
-0.008757277391850948,
-0.009306410327553749,
0.030501632019877434,
0.046177782118320465,
-0.02427929826080799,
-0.0011986519675701857,
0.030714817345142365,
0.010393878445029259,
-0.014559559524059296,
0.012602917850017548,
-0.032192643731832504,
0.010345163755118847,
0.015430447645485401,
0.01034318096935749,
-0.054878633469343185,
0.002787552773952484,
-0.023473691195249557,
-0.017792772501707077,
-0.04590105637907982,
-0.08455540984869003,
-0.05342469364404678,
0.04785403981804848,
0.023538216948509216,
-0.007095129694789648,
0.005369017366319895,
-0.012797120027244091,
-0.09166361391544342,
-0.0022930200211703777,
0.01823093742132187,
-0.013641891069710255,
0.008672613650560379,
-0.03353067860007286,
0.05893181636929512,
-0.0262778140604496,
-0.03649771958589554,
0.011686710640788078,
0.006943331565707922,
0.021585816517472267,
-0.04099966958165169,
0.010160333476960659,
-0.004708695225417614,
-0.0077977837063372135,
-0.035339899361133575,
0.02127690613269806,
-0.007187272422015667,
0.03425115719437599,
-0.0418679378926754,
0.06767748296260834,
0.04697370529174805,
0.013614215888082981,
0.01716015860438347,
0.038683582097291946,
-0.0034072301350533962,
0.030340466648340225,
-0.07390385866165161,
-0.013376077637076378,
-0.024518515914678574,
-0.02713920921087265,
0.002022057306021452,
-0.04152613878250122,
-0.0463285893201828,
0.05911678820848465,
0.028063934296369553,
-0.017860647290945053,
-0.028968308120965958,
0.019184336066246033,
-0.016112342476844788,
-0.0055230893194675446,
-0.010654179379343987,
-0.02208728715777397,
0.043730478733778,
0.012695981189608574,
0.021683290600776672,
-0.02477842941880226,
0.05197015404701233,
-0.011816184967756271,
-0.009806894697248936,
-0.008451846428215504,
0.0015956275165081024,
0.018315879628062248,
-0.01315638143569231,
-0.016527840867638588,
-0.01278630644083023,
0.04086417332291603,
0.06756041198968887,
-0.006673685275018215,
0.021995672956109047,
0.04216742888092995,
0.003985901363193989,
-0.017282813787460327,
-0.018064796924591064,
0.04874737933278084,
0.013937193900346756,
0.03948263078927994,
0.0016920760972425342,
0.03389103710651398,
-0.00028708577156066895,
0.019490066915750504,
0.04174322634935379,
0.0005438445950858295,
-0.01422562263906002,
0.019893726333975792,
-0.030721180140972137,
-0.011323397047817707,
-0.03499710559844971,
-0.010651808232069016,
-0.0499141663312912,
0.014616301283240318,
0.019990386441349983,
0.020120957866311073,
-0.04735874384641647,
0.03211752325296402,
-0.060686755925416946,
0.04121078550815582,
0.03178555145859718,
-0.03570477291941643,
-0.030555684119462967,
0.029903288930654526,
0.07295701652765274,
-0.029319265857338905,
-0.01467770617455244,
-0.001744984183460474,
0.02647438459098339,
-0.001002850360237062,
-0.040328528732061386,
-0.016241978853940964,
-0.044067706912755966,
-0.009004505351185799,
0.0010104260873049498,
0.022651441395282745,
-0.0185015220195055,
-0.03225918114185333,
-0.004953143652528524,
-0.023002613335847855,
-0.03388287127017975,
-0.009557409211993217,
-0.01489152479916811,
0.06731417775154114,
-0.005608786828815937,
0.0016399953747168183,
0.01747487299144268,
-0.04024763032793999,
0.024413811042904854,
-0.009308007545769215,
0.0040890928357839584,
-0.002832768950611353,
-0.02719215676188469,
0.013358183205127716,
-0.03812381997704506,
0.01100369542837143,
0.03711598739027977,
-0.04070056229829788,
-0.012547085992991924,
-0.014326946809887886,
0.011945447884500027,
-0.026770664379000664,
-0.013504808768630028,
0.040902651846408844,
-0.055947668850421906,
0.02576391026377678,
0.03931664675474167,
0.004892501514405012,
0.03360486030578613,
-0.043575629591941833,
-0.019317537546157837,
-0.05748816579580307,
0.005411634221673012,
0.04431368038058281,
-0.00854121707379818,
-0.015882287174463272,
0.029778655618429184,
0.001223009661771357,
-0.003673564875498414,
-0.0072949291206896305,
0.01051235944032669,
0.004136230796575546,
-0.03126370161771774,
-0.002860535867512226,
0.024556484073400497,
-0.04520628973841667,
-0.0232626311480999,
-0.00594901479780674,
-0.018262134864926338,
0.014544668607413769,
-0.04930077865719795,
-0.0031648650765419006,
0.03563765808939934,
0.014922542497515678,
0.008720282465219498,
-0.03315573185682297,
0.016126949340105057,
-0.023576484993100166,
-0.013788399286568165,
-0.019782034680247307,
0.0015412172069773078,
-0.019936978816986084,
-0.008821963332593441,
-0.04728800430893898,
0.014887888915836811,
-0.003624401055276394,
0.017061622813344002,
-0.004841855261474848,
0.027965756133198738,
-0.012827969156205654,
0.025375306606292725,
-0.08857923001050949,
-0.002085153479129076,
0.04519396275281906,
-0.020048264414072037,
-0.039525073021650314,
-0.06652642041444778,
-0.010423130355775356,
0.021689267829060555,
-0.07831019163131714,
0.03264143317937851,
-0.006728564389050007,
0.04977494105696678,
0.019272103905677795,
0.057231754064559937,
0.015590372495353222,
-0.017507707700133324,
0.013262728229165077,
-0.07043670117855072,
0.027915306389331818,
-0.05944756045937538,
-0.016828123480081558,
0.062283337116241455,
-0.0075374785810709,
0.05330540984869003,
0.00775302667170763,
-0.0377391017973423,
0.025229785591363907,
-0.021840734407305717,
-0.06546849012374878,
-0.01815105974674225,
-0.03131239116191864,
-0.0025192657485604286,
0.02812739461660385,
-0.05239830166101456,
-0.01862143725156784,
-0.014784340746700764,
-0.02957025170326233,
0.004172437824308872,
0.02942729741334915,
0.04123012349009514,
-0.015321471728384495,
-0.013835621066391468,
-0.05235201492905617,
-0.00878563616424799,
0.02319413609802723,
0.04238540306687355,
0.031769584864377975,
0.009368441998958588,
-0.0210647564381361,
0.030658401548862457,
0.053494688123464584,
0.03003731742501259,
0.003999491222202778,
0.0091883959248662,
-0.02307772822678089,
-0.02151225320994854,
0.02844993583858013,
-0.004015798214823008,
-0.01571263000369072,
-0.04383867233991623,
0.005045166704803705,
0.03718655928969383,
-0.06389554589986801,
-0.032793547958135605,
-0.011725670658051968,
-0.08028437197208405,
0.008027756586670876,
-0.011672368273139,
0.0030208583921194077,
0.006671643350273371,
0.08622630685567856,
0.015904007479548454,
0.026804300025105476,
0.08334241062402725,
0.0007032819557935,
-0.0350211076438427,
-0.020615676417946815,
0.08624851703643799,
0.06679616868495941,
0.05456407368183136,
-0.02450454793870449,
0.024650471284985542,
-0.07640275359153748,
-0.02332134172320366,
0.017515338957309723,
0.001505912165157497,
-0.03535066172480583,
-0.02093532495200634,
-0.001021057483740151,
0.05854403227567673,
0.010388205759227276,
0.0727897509932518,
-0.052552733570337296,
0.008417685516178608,
0.04161079227924347,
0.032201968133449554,
-0.018144721165299416,
0.04850833863019943,
0.013197101652622223,
0.022666875272989273,
-0.02820506878197193,
-0.06060149148106575,
-0.03614402189850807,
0.011109879240393639,
0.024286441504955292,
0.00813949666917324,
0.0024399571120738983,
0.0075449030846357346,
-0.009068774990737438,
0.004112248308956623,
0.07650089263916016,
-0.06124696508049965,
-0.023554332554340363,
0.021904971450567245,
0.006891651079058647,
-0.005399991758167744,
0.02925737574696541,
0.022311808541417122,
-0.021891329437494278,
-0.005921022966504097,
-0.036685746163129807,
0.04134505242109299,
0.0389721654355526,
0.022832918912172318,
-0.0031876680441200733,
-0.03970286622643471,
0.0010796816786751151,
0.01057810615748167,
0.05212419107556343,
-0.0428338423371315,
-0.04762430861592293,
-0.05102012678980827,
-0.05256442725658417,
-0.037371888756752014,
-0.036774761974811554,
-0.011272292584180832,
-0.005810269620269537,
-0.024785591289401054,
-0.014887887053191662,
-0.010518958792090416,
0.030408084392547607,
0.023491259664297104,
-0.03910265117883682,
0.0021143686026334763,
0.05622095987200737,
0.0027789731975644827,
0.022687235847115517,
0.026954032480716705,
0.023373408243060112,
-0.016033846884965897,
-0.004809846170246601,
0.030732613056898117,
0.02004496566951275,
0.008915848098695278,
0.005002940073609352,
0.007273580878973007,
-0.08794791996479034,
0.024561652913689613,
0.04578123614192009,
-0.044705234467983246,
-0.0795397162437439,
-0.010990534909069538,
-0.015896005555987358,
0.0009131862316280603,
0.08961176872253418,
-0.00288351415656507,
0.008400996215641499,
-0.03368062898516655,
0.012839890085160732,
-0.027900561690330505,
-0.017332639545202255,
0.017918549478054047,
-0.042730774730443954,
0.06499382108449936,
0.024654213339090347,
-0.013833477161824703,
-0.05292404443025589,
0.06597952544689178,
-0.022794393822550774,
0.0029637105762958527,
-0.030340619385242462,
-0.004973645322024822,
-0.04450578987598419,
-0.07158540934324265,
-0.006924520246684551,
0.02683991566300392,
-0.024521196261048317,
-0.040416985750198364,
0.0044433376751840115,
0.02342388965189457,
-0.010946236550807953,
-0.011616594158113003,
-0.02954968437552452,
-0.012266560457646847,
-0.04788310080766678,
-0.007154064252972603,
-0.0763641819357872,
0.06275636702775955,
-0.009684705175459385,
0.01415224652737379,
-0.030016884207725525,
-0.04473418369889259,
-0.01831391453742981,
0.013184760697185993,
0.03584534674882889,
0.026252755895256996,
0.029467156156897545,
-0.013132591731846333
] |
https://github.com/raja-sunkara/Learned-Partitions-SequOOL
|
531 |
Zero-Shot Adaptation of Parameter-Efficient Fine-Tuning in Diffusion Models
|
https://openreview.net/forum?id=osNUbJ4vlX
|
[
"Farzad Farhadzadeh",
"Debasmit Das",
"Shubhankar Borse",
"Fatih Porikli"
] |
Poster
|
We introduce ProLoRA, enabling zero-shot adaptation of parameter-efficient fine-tuning in text-to-image diffusion models. ProLoRA transfers pre-trained low-rank adjustments (e.g., LoRA) from a source to a target model without additional training data. This overcomes the limitations of traditional methods that require retraining when switching base models, often challenging due to data constraints. ProLoRA achieves this via projection of source adjustments into the target model's weight space, leveraging subspace and null space similarities and selectively targeting aligned layers. Evaluations on established text-to-image models demonstrate successful knowledge transfer and comparable performance without retraining.
|
Diffusion Model, parameter efficient fine tuning, Low rank adaptation, transfer learning
|
Transfer pre-trained low-rank adjustments (like LoRA) between diffusion models without retraining by projecting them into the new model's weight space. No need for original training data!
| 13,217 |
2506.04244
|
[
0.007888912223279476,
-0.03691667318344116,
-0.008058945648372173,
0.04861350730061531,
0.05636841431260109,
0.04451015219092369,
0.014179767109453678,
-0.006481799762696028,
-0.009344620630145073,
-0.01986364834010601,
-0.012983697466552258,
-0.0018886080943048,
-0.03350774571299553,
-0.007556746248155832,
0.009552717208862305,
0.04018011316657066,
0.030869945883750916,
0.02227105386555195,
-0.020057277753949165,
0.02230173535645008,
0.0006128446548245847,
-0.0030439060647040606,
0.021675096824765205,
0.01146081741899252,
-0.021741079166531563,
0.0065598986111581326,
0.04829635098576546,
0.011012321338057518,
-0.04925384745001793,
0.022848108783364296,
0.04678710550069809,
-0.007316480856388807,
-0.014248097315430641,
-0.00691972067579627,
0.014598825946450233,
-0.024020075798034668,
-0.021423183381557465,
0.029475610703229904,
-0.0032325105275958776,
-0.01233862154185772,
-0.04639566317200661,
0.022337142378091812,
-0.03702523186802864,
0.004787247162312269,
-0.02054462395608425,
-0.0022873657289892435,
-0.12064748257398605,
0.020304903388023376,
0.012574884109199047,
-0.0662749782204628,
-0.12543633580207825,
0.039086416363716125,
0.009136435575783253,
-0.007665539626032114,
-0.004560391418635845,
0.04833335056900978,
0.03631289675831795,
-0.0491684265434742,
-0.01706417091190815,
-0.046377602964639664,
-0.05500323697924614,
0.021661991253495216,
-0.0010468175169080496,
0.005481172818690538,
-0.010561635717749596,
-0.015986964106559753,
-0.023708978667855263,
0.056033313274383545,
-0.06577878445386887,
-0.05986885353922844,
-0.011695001274347305,
0.0049547431990504265,
-0.00900889653712511,
0.021681733429431915,
-0.00033901125425472856,
-0.02475009113550186,
-0.00557071203365922,
0.014609518460929394,
0.09078292548656464,
-0.00510418089106679,
0.04443420469760895,
0.004069457296282053,
0.02364395745098591,
0.04843306541442871,
0.01936868205666542,
-0.004244122188538313,
-0.03897757828235626,
-0.05095502734184265,
-0.07397595793008804,
0.03276218846440315,
-0.0684589147567749,
-0.044893939048051834,
0.012859209440648556,
0.03234162926673889,
0.030249018222093582,
0.02206793799996376,
0.025572344660758972,
-0.0015940236626192927,
-0.017002860084176064,
0.015113524161279202,
-0.05648738890886307,
-0.04328594356775284,
-0.008609120734035969,
0.00009511922689853236,
-0.09419218450784683,
0.008174242451786995,
-0.030328482389450073,
0.017447439953684807,
-0.012492028065025806,
0.0280255526304245,
-0.021269338205456734,
-0.02832850068807602,
0.0023163272999227047,
-0.0011120999697595835,
-0.10509424656629562,
0.03009863756597042,
0.008162450045347214,
0.03688562661409378,
-0.014552275650203228,
-0.0224703848361969,
0.02831309661269188,
0.039671022444963455,
0.011924836784601212,
0.08813787251710892,
-0.020704908296465874,
0.006870219483971596,
0.03776184841990471,
0.014572003856301308,
-0.05803580582141876,
-0.034248173236846924,
0.018963482230901718,
0.061870042234659195,
0.028612731024622917,
-0.005385821219533682,
0.036437273025512695,
-0.044024232774972916,
0.014503343030810356,
-0.010559681802988052,
0.05694219842553139,
-0.02949279546737671,
0.008956310339272022,
0.015345693565905094,
0.030037060379981995,
-0.022079532966017723,
0.08605020493268967,
-0.017154663801193237,
0.030856579542160034,
-0.034218985587358475,
-0.027279816567897797,
-0.04526098445057869,
0.018932534381747246,
0.010209035128355026,
0.052615515887737274,
-0.06814723461866379,
-0.011546903289854527,
0.05496278032660484,
0.014856398105621338,
-0.00974280945956707,
-0.004726666025817394,
-0.016525933519005775,
0.038639847189188004,
-0.03343311697244644,
-0.01792941801249981,
0.0073531256057322025,
-0.02139175496995449,
-0.04304214194417,
0.020487988367676735,
0.02842959575355053,
-0.015425324440002441,
-0.01829802803695202,
-0.023534150794148445,
-0.030466297641396523,
0.030392877757549286,
-0.01527731865644455,
-0.008578799664974213,
0.005729145370423794,
0.027424834668636322,
0.025303004309535027,
0.030854202806949615,
-0.003781099570915103,
-0.08680488169193268,
0.01427487749606371,
-0.022806992754340172,
0.0038884999230504036,
0.039651140570640564,
-0.028917446732521057,
0.0911334827542305,
-0.008219457231462002,
0.05737276375293732,
0.02924945205450058,
-0.09516368061304092,
0.005909024737775326,
0.03719257935881615,
-0.011865138076245785,
0.05415371432900429,
0.043358299881219864,
-0.04265998676419258,
0.05917690694332123,
0.051648009568452835,
0.05687924847006798,
0.045995112508535385,
-0.028005411848425865,
0.06591258943080902,
-0.03640235960483551,
-0.022490551695227623,
-0.03647509589791298,
0.05188358575105667,
-0.049309179186820984,
-0.032322388142347336,
0.02170654758810997,
-0.04622023552656174,
0.017096977680921555,
-0.0003435233375057578,
-0.0006865276955068111,
-0.0024466081522405148,
0.032677147537469864,
-0.004018721636384726,
-0.002192228566855192,
0.023284675553441048,
-0.05870220065116882,
0.023072637617588043,
0.026379015296697617,
-0.04717343673110008,
-0.015505743212997913,
-0.023530486971139908,
0.10163968056440353,
0.05021165683865547,
-0.05177042633295059,
-0.0047692796215415,
-0.004763409029692411,
0.0273295771330595,
0.01423623226583004,
0.04179903864860535,
-0.03051927499473095,
0.025469064712524414,
-0.022060802206397057,
0.02228245697915554,
-0.030304640531539917,
0.07135289907455444,
-0.029416179284453392,
-0.015130499377846718,
0.059373918920755386,
0.002642681822180748,
0.05304256081581116,
0.017860528081655502,
0.02138826623558998,
0.03218505159020424,
-0.047819893807172775,
-0.02193966880440712,
0.0006982935010455549,
0.011188391596078873,
-0.0029031268786638975,
-0.006074829958379269,
-0.021593689918518066,
0.016868911683559418,
-0.05451039597392082,
-0.018245428800582886,
-0.017012793570756912,
0.06745880842208862,
0.03647458180785179,
0.00575371365994215,
0.02767937071621418,
-0.00805653352290392,
-0.027187973260879517,
0.004826576914638281,
-0.08020222932100296,
-0.019065404310822487,
-0.026476994156837463,
0.025524083524942398,
-0.009963366203010082,
0.05072381719946861,
0.016076460480690002,
0.02012731321156025,
-0.04215048626065254,
-0.003944037482142448,
-0.004897426813840866,
0.027990683913230896,
0.012683562934398651,
-0.04987890645861626,
-0.028841329738497734,
0.015472996979951859,
0.06533458828926086,
-0.014715497381985188,
-0.042026337236166,
-0.04685052111744881,
-0.011522997170686722,
0.004232310689985752,
-0.004729787353426218,
-0.01892795041203499,
0.01825382001698017,
0.03419919312000275,
0.012321033515036106,
-0.0034950077533721924,
0.008288126438856125,
-0.0006575724692083895,
0.017199255526065826,
0.027044862508773804,
-0.012894400395452976,
-0.057450566440820694,
0.027511775493621826,
0.010439630597829819,
0.02122868038713932,
0.010435295291244984,
0.040898263454437256,
-0.0015719288494437933,
-0.001548265339806676,
0.04309866204857826,
-0.011345607228577137,
-0.28264766931533813,
0.03231654688715935,
0.02269437350332737,
-0.0007064081728458405,
0.009503031149506569,
-0.0038375656586140394,
0.041155777871608734,
-0.03849472105503082,
-0.0020190132781863213,
0.045861002057790756,
-0.022210972383618355,
0.07624392956495285,
-0.01518302597105503,
0.03282085806131363,
0.040530383586883545,
0.05266730487346649,
-0.023018257692456245,
-0.024082088842988014,
-0.025819428265094757,
0.010953947901725769,
-0.014802674762904644,
-0.008983219042420387,
-0.025611383840441704,
0.02386612445116043,
-0.02441045641899109,
0.056990575045347214,
-0.06713675707578659,
-0.002388657070696354,
0.0024081256706267595,
-0.01883242465555668,
0.0129451435059309,
-0.05093073844909668,
-0.0004277413245290518,
0.05416315048933029,
0.019523875787854195,
0.0058654132299125195,
0.027973521500825882,
0.006764914374798536,
0.03836990147829056,
0.010508567094802856,
-0.008261370472609997,
-0.021004430949687958,
-0.005525290500372648,
0.022349772974848747,
0.04005606099963188,
-0.005102199036628008,
-0.049084167927503586,
-0.013552947901189327,
0.01841088756918907,
0.03458968549966812,
-0.008320300839841366,
-0.0284691471606493,
-0.015456085093319416,
0.04466060921549797,
0.0002890189934987575,
-0.01350448839366436,
0.00873738806694746,
-0.009071197360754013,
0.004416424781084061,
0.0011325572850182652,
0.015568136237561703,
-0.050386589020490646,
-0.01689215376973152,
-0.0448099747300148,
-0.012740972451865673,
-0.03368089348077774,
-0.05744360387325287,
0.004953378811478615,
0.04224095121026039,
0.01695391722023487,
-0.0348648875951767,
0.008027358911931515,
0.010166955180466175,
-0.08338746428489685,
0.032263074070215225,
-0.014694620855152607,
-0.027597840875387192,
-0.0019613911863416433,
-0.012736870907247066,
0.04985084757208824,
-0.01374476682394743,
-0.03450550511479378,
-0.003447550116106868,
0.00950392335653305,
0.035654302686452866,
-0.02107643149793148,
0.021217575296759605,
-0.047577712684869766,
-0.01606452278792858,
-0.08029116690158844,
0.035159703344106674,
0.00640436727553606,
0.0015164404176175594,
0.03253405541181564,
0.036663468927145004,
0.02026483230292797,
0.04396343231201172,
0.050078004598617554,
0.03116528131067753,
-0.024476898834109306,
0.052674178034067154,
-0.055481135845184326,
-0.038034532219171524,
-0.056636203080415726,
-0.007272904273122549,
0.03769782558083534,
-0.09400878101587296,
-0.0007563027320429683,
0.02626720257103443,
-0.057707130908966064,
-0.012291106395423412,
0.0058653694577515125,
-0.005603307858109474,
-0.004195797722786665,
-0.018095791339874268,
0.01707756146788597,
-0.003205869346857071,
0.029031172394752502,
0.03481488302350044,
-0.015964960679411888,
-0.02496909908950329,
0.015222100540995598,
-0.04001813754439354,
-0.000556532817427069,
-0.019261188805103302,
-0.0006244151736609638,
-0.008471645414829254,
-0.02080722525715828,
0.010346448980271816,
-0.017121003940701485,
0.024165280163288116,
0.018975073471665382,
0.006430844776332378,
-0.0009955138666555285,
0.02016535960137844,
-0.043312396854162216,
-0.018192853778600693,
-0.006985916290432215,
0.03127061203122139,
-0.0022037122398614883,
0.009718568995594978,
0.019052857533097267,
0.04947623610496521,
0.040802981704473495,
0.043213650584220886,
0.002165550831705332,
-0.013996091671288013,
-0.00824830587953329,
-0.02361658588051796,
-0.012715824879705906,
0.028425635769963264,
0.0060158283449709415,
-0.051751669496297836,
-0.038824018090963364,
0.009164026007056236,
-0.033529315143823624,
0.0069799600169062614,
-0.02687302976846695,
0.03976889327168465,
-0.04847179725766182,
0.04767843335866928,
0.013352660462260246,
-0.03557088226079941,
0.023103920742869377,
0.0013255097437649965,
0.0344986654818058,
0.017672501504421234,
-0.014648915268480778,
0.00007285093306563795,
-0.020486922934651375,
0.010423473082482815,
-0.00981959979981184,
-0.03920048475265503,
-0.03736276179552078,
-0.022572489455342293,
0.018188390880823135,
-0.006879283580929041,
-0.012028069235384464,
-0.017551569268107414,
0.09850107878446579,
0.005472514778375626,
-0.00733568100258708,
-0.032934173941612244,
-0.029568277299404144,
0.07752703875303268,
0.002990131266415119,
-0.015795154497027397,
-0.0029935818165540695,
-0.04035617411136627,
0.031179241836071014,
0.008119247853755951,
0.032431166619062424,
-0.0417650081217289,
-0.02555769868195057,
-0.027877619490027428,
-0.04630544036626816,
-0.01816241629421711,
0.044954895973205566,
-0.01112998928874731,
0.004847133066505194,
-0.06293661147356033,
-0.0016564495163038373,
-0.06642743945121765,
-0.01339043490588665,
0.025638293474912643,
-0.08990971744060516,
0.018831370398402214,
0.04159456118941307,
-0.020613795146346092,
0.015134720131754875,
-0.018214581534266472,
-0.07676148414611816,
-0.07683487236499786,
-0.03488363325595856,
0.027639806270599365,
-0.04556310549378395,
-0.03656894341111183,
-0.03933890908956528,
-0.014754462987184525,
-0.034239448606967926,
-0.00573398033156991,
-0.011940035037696362,
-0.007028817664831877,
0.018259627744555473,
0.009013786911964417,
0.027408698573708534,
-0.010006507858633995,
-0.014336335472762585,
-0.03824866935610771,
-0.019332926720380783,
0.007069187704473734,
-0.03967098146677017,
0.008397088386118412,
0.06114278733730316,
0.017962375655770302,
0.03200313076376915,
-0.05601189658045769,
0.038258958607912064,
0.04126449674367905,
0.007753427140414715,
0.02289142645895481,
-0.008403494022786617,
-0.05162511765956879,
0.013462398201227188,
-0.0007132224855013192,
0.0444980189204216,
0.009423662908375263,
-0.002646869281306863,
-0.02556806616485119,
0.015221125446259975,
0.021488038823008537,
-0.0074788895435631275,
-0.018388567492365837,
-0.004799227230250835,
0.05431808531284332,
-0.020189598202705383,
-0.030414871871471405,
-0.06456596404314041,
-0.03615367040038109,
0.03923190385103226,
0.015805883333086967,
0.010214025154709816,
-0.05024026706814766,
0.019580496475100517,
0.03919912874698639,
0.03312639892101288,
0.01161263044923544,
-0.025458723306655884,
0.0552850216627121,
-0.019908545538783073,
0.018756752833724022,
-0.04905572906136513,
-0.0358753465116024,
0.061947256326675415,
-0.04796217754483223,
0.023902496322989464,
-0.019737688824534416,
0.006013916805386543,
0.009395704604685307,
-0.06590265780687332,
-0.049305886030197144,
-0.0009645384270697832,
-0.010988189838826656,
-0.005996107589453459,
0.045843835920095444,
-0.03239254653453827,
0.014148344285786152,
-0.04401771351695061,
-0.029923850670456886,
0.00270459963940084,
-0.003601016476750374,
0.023875335231423378,
-0.021895935758948326,
0.0036923219449818134,
-0.014874320477247238,
0.018373629078269005,
0.024370897561311722,
0.06127277761697769,
-0.0037963869981467724,
0.017094021663069725,
-0.01415331196039915,
0.06066681444644928,
0.02986624836921692,
-0.007122056558728218,
-0.024101337417960167,
0.029836833477020264,
-0.020380696281790733,
-0.029254060238599777,
0.053508736193180084,
-0.008121447637677193,
-0.0011678970186039805,
-0.07350114732980728,
0.053644564002752304,
0.04723237827420235,
-0.07740800827741623,
-0.038935586810112,
0.03522125631570816,
-0.012860286980867386,
0.035268306732177734,
-0.022840647026896477,
0.03966772183775902,
0.016813263297080994,
0.03827240318059921,
-0.01849651336669922,
0.05180681124329567,
0.06481220573186874,
0.031005457043647766,
0.031571581959724426,
-0.0010243800934404135,
0.03499644249677658,
0.07030486315488815,
0.06502407044172287,
-0.018255718052387238,
0.06542303413152695,
-0.02438247762620449,
-0.059782516211271286,
-0.0018187101231887937,
0.024477645754814148,
-0.0240250863134861,
-0.058228008449077606,
0.0420028492808342,
0.08328577876091003,
-0.007134106010198593,
0.04219598323106766,
-0.035180218517780304,
-0.03163785859942436,
0.005115979351103306,
0.010711457580327988,
-0.002901957370340824,
0.009084833785891533,
0.05737396702170372,
-0.0026758203748613596,
-0.025677910074591637,
0.014768516644835472,
0.02122207172214985,
-0.03429272398352623,
0.03731474280357361,
-0.015397168695926666,
-0.027662938460707664,
0.013355824165046215,
-0.008545459248125553,
0.01438592467457056,
0.10904830694198608,
-0.05184074118733406,
-0.05585726350545883,
-0.007374438922852278,
-0.0019095097668468952,
0.025100862607359886,
0.04460623115301132,
0.007111429702490568,
0.003822652157396078,
0.015181140974164009,
-0.021362725645303726,
-0.00002973256414406933,
0.02689545787870884,
0.00982433371245861,
0.004823238123208284,
-0.03827952966094017,
0.012265716679394245,
0.016770370304584503,
-0.010248681530356407,
-0.018476711586117744,
-0.03576640784740448,
-0.023020446300506592,
-0.03892282769083977,
-0.04480085149407387,
-0.06012561917304993,
0.020556772127747536,
0.030457934364676476,
-0.024235844612121582,
-0.006241877097636461,
-0.06761632859706879,
0.012433442287147045,
0.06094542145729065,
-0.04731900244951248,
-0.0033632160630077124,
0.02856970578432083,
-0.0044747162610292435,
-0.04404929652810097,
0.047486308962106705,
0.011090019717812538,
-0.0026914686895906925,
-0.005193445831537247,
0.0619787871837616,
0.018389062955975533,
0.06079447269439697,
-0.033988699316978455,
-0.013380570337176323,
-0.0813739001750946,
0.002463078359141946,
0.043175794184207916,
-0.03378669172525406,
-0.09459865093231201,
0.046986620873212814,
-0.037419188767671585,
0.056781332939863205,
0.0384509451687336,
0.018188051879405975,
-0.022450270131230354,
-0.021799031645059586,
-0.004997555632144213,
-0.020447826012969017,
0.02555636130273342,
0.051115479320287704,
-0.02827705256640911,
0.08606599271297455,
0.016134146600961685,
-0.00954479444772005,
-0.05330207943916321,
0.06398047506809235,
0.01152577344328165,
0.027983812615275383,
-0.016444731503725052,
-0.024451270699501038,
-0.012037509121000767,
-0.07444421947002411,
-0.014652534388005733,
0.028813960030674934,
-0.0020639447029680014,
-0.042817506939172745,
0.0035861320793628693,
-0.01151032093912363,
0.00564484903588891,
-0.01727205514907837,
0.0040651727467775345,
-0.023543257266283035,
-0.018736062571406364,
-0.0368703156709671,
-0.04297001287341118,
-0.026674853637814522,
0.0001782957260729745,
-0.028088189661502838,
-0.0070810518227517605,
-0.007353825960308313,
0.01466341596096754,
0.02181883156299591,
0.02455415390431881,
-0.02112281136214733,
0.006055896170437336,
0.007179908454418182
] | null |
532 |
Self-Supervised Transformers as Iterative Solution Improvers for Constraint Satisfaction
|
https://openreview.net/forum?id=IQN6ID0snT
|
[
"Yudong Xu",
"Wenhao Li",
"Scott Sanner",
"Elias Boutros Khalil"
] |
Poster
|
We present a Transformer-based framework for Constraint Satisfaction Problems (CSPs).
CSPs find use in many applications and thus accelerating their solution with machine learning is of wide interest. Most existing approaches rely on supervised learning from feasible solutions or reinforcement learning, paradigms that require either feasible solutions to these NP-Complete CSPs or large training budgets and a complex expert-designed reward signal. To address these challenges, we propose ConsFormer, a self-supervised framework that leverages a Transformer as a solution refiner. ConsFormer constructs a solution to a CSP iteratively in a process that mimics local search. Instead of using feasible solutions as labeled data, we devise differentiable approximations to the discrete constraints of a CSP to guide model training. Our model is trained to improve random assignments for a single step but is deployed iteratively at test time, circumventing the bottlenecks of supervised and reinforcement learning. Experiments on Sudoku, Graph Coloring, Nurse Rostering, and MAXCUT demonstrate that our method can tackle out-of-distribution CSPs simply through additional iterations.
|
Constraint Satisfaction Problem, Transformer, Self-supervised Learning, Local Search
|
A self-supervised Transformer-based framework for iteratively solving Constraint Satisfaction Problems.
| 13,215 |
2502.15794
|
[
-0.009382269345223904,
-0.05042557790875435,
-0.03120555356144905,
0.05264591425657272,
0.03806087002158165,
0.05777108669281006,
0.012835572473704815,
0.0007270381320267916,
-0.022084305062890053,
-0.01442815363407135,
-0.027729688212275505,
0.03750664368271828,
-0.05624992027878761,
0.004753204993903637,
-0.03250310570001602,
0.041480232030153275,
-0.005564413499087095,
0.020328417420387268,
0.0073790778405964375,
0.011036673560738564,
-0.006018147803843021,
-0.00928543135523796,
0.02707163244485855,
0.013058396056294441,
0.017996329814195633,
-0.01090130303055048,
-0.0026003809180110693,
0.023853152990341187,
-0.031058741733431816,
-0.005489888601005077,
0.041240569204092026,
-0.014967162162065506,
-0.004421910736709833,
-0.029176102951169014,
-0.004306904971599579,
0.0042199501767754555,
-0.029687611386179924,
-0.004531392827630043,
0.002285403897985816,
-0.026389623060822487,
-0.03570375591516495,
0.016687441617250443,
-0.015706196427345276,
-0.011356418952345848,
-0.029282988980412483,
0.010797437280416489,
-0.08891545981168747,
0.007506000343710184,
-0.016071591526269913,
-0.07769831269979477,
-0.10402444750070572,
0.04318034276366234,
0.02130676805973053,
-0.006267317105084658,
-0.00077947968384251,
0.011039924807846546,
0.07582870125770569,
-0.0880121961236,
0.006468606181442738,
-0.036467522382736206,
-0.03276503458619118,
0.02300390601158142,
0.02497129514813423,
0.013931099325418472,
-0.041860468685626984,
-0.01730671338737011,
0.005310189910233021,
0.05951634421944618,
-0.042486127465963364,
-0.03128616139292717,
-0.049416255205869675,
0.016600284725427628,
0.011226929724216461,
0.015427663922309875,
-0.02201935090124607,
-0.01627388969063759,
0.007877727039158344,
0.008711825124919415,
0.04737308993935585,
0.01160153467208147,
0.009419230744242668,
0.05022348463535309,
0.012977627106010914,
0.010880900546908379,
0.04658195748925209,
0.008003192953765392,
-0.036676075309515,
-0.054499346762895584,
-0.0831105038523674,
0.012033790349960327,
0.03143835812807083,
-0.010489944368600845,
-0.01848435401916504,
0.025036267936229706,
0.039863452315330505,
0.007797643542289734,
0.026398414745926857,
-0.012446272186934948,
0.011846167035400867,
0.011546549387276173,
0.009372725151479244,
-0.02692492865025997,
0.0015163145726546645,
-0.02248985692858696,
-0.09611224383115768,
-0.026619011536240578,
0.03205111250281334,
-0.03246123343706131,
0.026440471410751343,
-0.00901367049664259,
-0.05518949031829834,
-0.02345910109579563,
0.013603150844573975,
-0.012683904729783535,
-0.09072127193212509,
0.014591467566788197,
-0.003566191764548421,
0.021920613944530487,
-0.026632117107510567,
0.027127396315336227,
0.04373440146446228,
0.014240733347833157,
0.020107261836528778,
0.07565771043300629,
-0.00011484816786833107,
0.014951937831938267,
0.007003508508205414,
0.03889722377061844,
-0.023701082915067673,
-0.059167612344026566,
-0.003737922990694642,
0.02001074142754078,
0.008064733818173409,
-0.018876684829592705,
-0.010525920428335667,
-0.005239443387836218,
-0.004341058433055878,
0.007553555071353912,
0.02098104916512966,
-0.008814127184450626,
0.004992030560970306,
0.03318072110414505,
0.09179865568876266,
-0.020887969061732292,
0.061134301126003265,
-0.0201543141156435,
-0.015636207535862923,
0.019545283168554306,
-0.011211935430765152,
0.010435833595693111,
0.0004833148850593716,
0.009917886927723885,
-0.005707452539354563,
-0.0732126533985138,
0.03179134428501129,
0.04279544577002525,
0.007583891041576862,
0.02662978321313858,
-0.02740446850657463,
-0.014365307986736298,
-0.00819653831422329,
0.013441613875329494,
-0.07002434879541397,
-0.007042992394417524,
-0.015272983349859715,
-0.060692183673381805,
0.011369073763489723,
0.004920925945043564,
-0.04353366419672966,
-0.002583955181762576,
-0.014685502275824547,
-0.024854382500052452,
0.037122394889593124,
-0.03787994384765625,
-0.012767193838953972,
-0.009117062203586102,
0.07524335384368896,
0.007755231577903032,
0.06169518083333969,
-0.0006983702769502997,
-0.07183580845594406,
0.027692697942256927,
0.005914757959544659,
-0.03082258626818657,
0.0033680200576782227,
0.0010539378272369504,
0.02836042083799839,
-0.020343920215964317,
0.023049848154187202,
0.03246447071433067,
-0.08562638610601425,
-0.02337685599923134,
0.02503448911011219,
-0.012730089016258717,
0.061805784702301025,
0.0021180622279644012,
-0.041794855147600174,
0.01929834671318531,
-0.01950235106050968,
0.06172415241599083,
0.0582348071038723,
-0.02872290275990963,
0.04434947669506073,
-0.026404738426208496,
-0.04607420787215233,
0.01055771391838789,
0.024164851754903793,
-0.019771911203861237,
-0.03903977945446968,
-0.004357588943094015,
-0.009283446706831455,
-0.0049107251688838005,
-0.008308611810207367,
-0.010980062186717987,
-0.013151641935110092,
0.01885139010846615,
-0.05434510111808777,
0.02078741043806076,
0.04424137994647026,
-0.055657658725976944,
0.054249901324510574,
0.028507862240076065,
-0.020750971511006355,
0.015764145180583,
-0.052296124398708344,
0.08816557377576828,
0.0417073592543602,
-0.024681244045495987,
-0.0036492187064141035,
0.044494032859802246,
0.0033051425125449896,
0.0010336387204006314,
0.018565094098448753,
-0.04169672727584839,
0.03329205885529518,
-0.006852850783616304,
-0.0005948913167230785,
-0.031360432505607605,
0.06509190052747726,
-0.031248539686203003,
-0.014632128179073334,
0.05629139021039009,
-0.039559826254844666,
0.06667063385248184,
0.023305973038077354,
0.027023177593946457,
0.010696963407099247,
0.019778074696660042,
-0.016982533037662506,
-0.016693826764822006,
-0.04240866005420685,
0.002597648184746504,
0.014620707370340824,
-0.0163840651512146,
0.000660932098980993,
-0.044694121927022934,
-0.012913037091493607,
-0.019957540556788445,
0.0674399808049202,
0.07953004539012909,
-0.004123494029045105,
0.04118410870432854,
-0.020407794043421745,
-0.009851344861090183,
-0.006572644226253033,
-0.1244163066148758,
-0.029616430401802063,
-0.013761583715677261,
0.043642330914735794,
0.016268882900476456,
0.02112746611237526,
-0.0091256657615304,
0.04434318095445633,
-0.036471277475357056,
-0.03856787085533142,
0.018750499933958054,
0.007886075414717197,
0.01825100928544998,
-0.007013790309429169,
-0.0044672866351902485,
0.01871124841272831,
0.023194855079054832,
-0.026837371289730072,
-0.008370456285774708,
-0.01758105680346489,
-0.05178777500987053,
0.009477580897510052,
-0.03708720952272415,
-0.025793010368943214,
0.011735179461538792,
0.018929339945316315,
0.02982693910598755,
-0.04436033219099045,
0.015456665307283401,
0.0581112764775753,
0.08594969660043716,
0.042784906923770905,
0.011147717945277691,
0.0207789596170187,
0.026288017630577087,
-0.014791080728173256,
0.00935992319136858,
-0.013054587878286839,
0.05030251294374466,
-0.011878625489771366,
0.0003651014412753284,
0.043397266417741776,
0.01858976110816002,
-0.2765229046344757,
-0.029938945546746254,
-0.016723738983273506,
-0.0062635513022542,
0.016995331272482872,
-0.03336837887763977,
0.08095500618219376,
-0.03234532102942467,
-0.023750660941004753,
0.01254196185618639,
-0.017441757023334503,
0.03321847319602966,
0.02614801749587059,
0.0698285922408104,
0.024452218785881996,
0.04378395155072212,
0.02079455740749836,
-0.01573469117283821,
-0.008614590391516685,
0.035314109176397324,
-0.008012841455638409,
-0.09571695327758789,
-0.03364384174346924,
0.02239174023270607,
-0.008060707710683346,
0.062296509742736816,
-0.09764286875724792,
-0.01005471870303154,
-0.02191743068397045,
-0.03944316878914833,
-0.028507903218269348,
-0.010946533642709255,
-0.028538484126329422,
0.0031428213696926832,
0.01876593753695488,
0.023905200883746147,
0.02289031632244587,
0.014646315947175026,
0.023658903315663338,
0.04081645980477333,
0.017767099663615227,
-0.03538205102086067,
-0.014533075504004955,
0.008172225207090378,
0.0619555301964283,
0.01721803843975067,
-0.03284494951367378,
-0.03593140095472336,
-0.03239846229553223,
0.016239749267697334,
0.011849566362798214,
-0.025400547310709953,
-0.005258077289909124,
0.009573484770953655,
0.043248336762189865,
-0.011520852334797382,
-0.009652363136410713,
-0.03625493869185448,
-0.031688936054706573,
0.007814740762114525,
-0.005821259692311287,
-0.04532082378864288,
-0.006034778896719217,
-0.022442836314439774,
-0.044225286692380905,
-0.0089432243257761,
-0.025140879675745964,
-0.04586268216371536,
0.043404724448919296,
0.06805670261383057,
-0.0029932197649031878,
0.05469178408384323,
-0.017866844311356544,
-0.0872163325548172,
-0.0040648942813277245,
0.0013145161792635918,
0.020833637565374374,
-0.03269315883517265,
0.00846888218075037,
0.010090610943734646,
-0.06385054439306259,
-0.07483182847499847,
0.0037375742103904486,
0.020028533414006233,
0.0332627110183239,
-0.01586000621318817,
0.028318004682660103,
-0.04237881675362587,
-0.04130277782678604,
-0.026008056476712227,
0.027790898457169533,
0.012197623960673809,
0.023146195337176323,
-0.009413876570761204,
0.08631715178489685,
0.06559063494205475,
0.06100410968065262,
0.05412851646542549,
0.020421376451849937,
-0.023703517392277718,
-0.01321848388761282,
-0.0732213705778122,
0.024171827360987663,
-0.04396023228764534,
-0.03627445921301842,
0.01635199598968029,
-0.05640512332320213,
-0.029867403209209442,
0.03117954172194004,
0.01779034361243248,
-0.030340518802404404,
-0.04812252148985863,
0.012387246824800968,
-0.03003566898405552,
-0.021807996556162834,
-0.010684500448405743,
-0.012513955123722553,
0.03888040408492088,
0.0269724540412426,
0.006609529722481966,
-0.012870969250798225,
0.04237227141857147,
-0.025937404483556747,
0.00016503085498698056,
-0.04142339900135994,
0.00412781024351716,
0.012573222629725933,
0.010526816360652447,
0.05163348466157913,
0.01518370769917965,
0.030736124143004417,
0.028910823166370392,
-0.011585322208702564,
0.027592090889811516,
0.04306196793913841,
-0.008456086739897728,
-0.002891280222684145,
0.009752375073730946,
0.0047339824959635735,
0.008346940390765667,
0.04277496784925461,
-0.01348140835762024,
0.03093443065881729,
0.011417089961469173,
0.030739886686205864,
0.024535102769732475,
0.025446854531764984,
0.03729114308953285,
-0.007607181090861559,
-0.0004379060410428792,
0.02092168666422367,
-0.05018371716141701,
-0.0060033127665519714,
-0.029445907101035118,
0.0077335406094789505,
-0.02697775326669216,
0.018960684537887573,
-0.023407552391290665,
0.021458875387907028,
-0.05259956791996956,
0.023479122668504715,
0.007801689673215151,
0.009178142063319683,
-0.037905655801296234,
0.04660484194755554,
0.04182152822613716,
-0.02315816469490528,
-0.01832614652812481,
-0.027959395200014114,
0.022762157022953033,
0.00950525514781475,
-0.01344034168869257,
-0.054141320288181305,
0.011158660985529423,
-0.00756550207734108,
-0.013514908961951733,
0.03268730640411377,
-0.011170770972967148,
-0.022446895018219948,
0.02607882022857666,
-0.006311699748039246,
-0.016814831644296646,
0.013168667443096638,
-0.0020920122042298317,
0.06191452965140343,
0.002664877101778984,
0.015366308391094208,
0.007785258814692497,
-0.0004175978829152882,
0.02295764721930027,
0.03419933468103409,
-0.006253021769225597,
-0.0027376224752515554,
-0.05276444926857948,
-0.032580483704805374,
-0.02902674674987793,
0.013080142438411713,
0.024056097492575645,
-0.006305749528110027,
0.012482504360377789,
-0.039419859647750854,
0.011371864937245846,
-0.04357533156871796,
-0.023690536618232727,
0.025632888078689575,
-0.07480158656835556,
-0.007877020165324211,
0.03484457731246948,
0.03213251009583473,
0.037828147411346436,
-0.048912324011325836,
-0.03426836431026459,
-0.052695132791996,
-0.028900934383273125,
-0.013403999619185925,
-0.012936110608279705,
-0.0016933911247178912,
0.007454964332282543,
0.013840965926647186,
-0.0035209674388170242,
0.0060659837909042835,
-0.020073512569069862,
-0.0037564020603895187,
-0.02153046801686287,
0.033815205097198486,
0.04204855486750603,
-0.024764491245150566,
-0.009401909075677395,
-0.011691761203110218,
-0.036702804267406464,
0.014548983424901962,
-0.04725472629070282,
0.024745607748627663,
0.019828595221042633,
0.009720616042613983,
-0.00098358781542629,
-0.05907156318426132,
0.05175428092479706,
-0.01913280598819256,
-0.03192557021975517,
0.009381740354001522,
-0.030349144712090492,
-0.01845056191086769,
-0.011548505164682865,
0.009780071675777435,
0.034669872373342514,
0.051300305873155594,
0.005724862217903137,
0.0030479487031698227,
0.02599559724330902,
0.031859140843153,
0.01818050630390644,
-0.041408490389585495,
-0.02990761399269104,
0.07938407361507416,
-0.0020557893440127373,
-0.02956175059080124,
-0.04858247935771942,
-0.04828859493136406,
0.02624914050102234,
-0.04726186394691467,
0.052333004772663116,
-0.008380378596484661,
0.008507641963660717,
0.047671955078840256,
0.018708674237132072,
-0.024117430672049522,
-0.01872791349887848,
0.018998445942997932,
-0.04078652337193489,
0.005839502438902855,
-0.046066537499427795,
0.024911435320973396,
0.10049742460250854,
-0.04755684360861778,
0.006910120602697134,
-0.004122053738683462,
-0.02288910560309887,
0.061905406415462494,
-0.019674202427268028,
-0.06082897260785103,
0.04515034332871437,
-0.022356202825903893,
0.028886180371046066,
0.02827281318604946,
-0.05405716225504875,
-0.0030213179998099804,
0.0021427562460303307,
-0.04768134281039238,
0.011512323282659054,
-0.033381588757038116,
0.050972700119018555,
-0.0011834742035716772,
-0.00295378384180367,
-0.047310736030340195,
0.024852052330970764,
0.001672199578024447,
0.05651823803782463,
0.039061497896909714,
0.027290580794215202,
-0.04301407188177109,
0.03270725905895233,
0.05454679951071739,
0.019861627370119095,
-0.04633016139268875,
0.06586339324712753,
-0.03911323845386505,
-0.04997214674949646,
0.047087255865335464,
0.004121598321944475,
-0.024392319843173027,
-0.06056526303291321,
0.06472906470298767,
0.01382810715585947,
-0.0531342476606369,
0.0014809631975367665,
0.03891785815358162,
-0.07499400526285172,
-0.03660587966442108,
0.009975805878639221,
-0.007345882244408131,
-0.012767978943884373,
0.06104515120387077,
0.02138790301978588,
0.034713853150606155,
0.05698064714670181,
0.03354818746447563,
0.0036741746589541435,
-0.0347006730735302,
0.08149800449609756,
0.039006154984235764,
0.02802673913538456,
0.00766159500926733,
0.04532065987586975,
-0.036139145493507385,
-0.04878957197070122,
0.04200775548815727,
0.06294510513544083,
-0.007390158250927925,
-0.06639646738767624,
0.012474333867430687,
0.08302081376314163,
0.00832455325871706,
0.04959358274936676,
-0.0282750204205513,
-0.015668541193008423,
0.029291829094290733,
0.015051886439323425,
0.016238650307059288,
0.05234071612358093,
0.028168397024273872,
0.0006687090499326587,
-0.01645854115486145,
-0.007405255455523729,
0.008887303993105888,
-0.01854020543396473,
-0.005064429249614477,
-0.004827088210731745,
-0.024132614955306053,
0.0037510376423597336,
-0.022276390343904495,
0.02512361854314804,
0.11195243149995804,
-0.04681920260190964,
-0.002050289884209633,
0.0031598019413650036,
0.01129490602761507,
0.009418567642569542,
0.05433579161763191,
0.0026219594292342663,
-0.06407947093248367,
-0.00958926696330309,
-0.04501166567206383,
0.013145944103598595,
0.02878657914698124,
-0.001771596260368824,
0.023500051349401474,
-0.017917471006512642,
-0.01326716784387827,
0.04083164408802986,
0.04741033911705017,
-0.057424839586019516,
-0.04172857850790024,
-0.0249044056981802,
-0.035103268921375275,
-0.04365523159503937,
-0.03759622946381569,
-0.018073001876473427,
-0.02056850492954254,
-0.04219662770628929,
-0.02385544963181019,
-0.026875561103224754,
0.017748573794960976,
0.003724864451214671,
-0.04823808744549751,
0.030372777953743935,
0.04105663672089577,
-0.014808221720159054,
0.0033637280575931072,
0.02354193665087223,
0.042516935616731644,
-0.00406851340085268,
-0.01177452877163887,
0.01648935116827488,
0.03864901140332222,
-0.024472471326589584,
0.018159540370106697,
0.010159113444387913,
-0.09271787106990814,
0.017063472419977188,
0.009728183969855309,
-0.08421871811151505,
-0.08603131026029587,
0.023949677124619484,
-0.010923176072537899,
0.05224980041384697,
0.06178300455212593,
0.046252455562353134,
-0.0014412982854992151,
-0.01791149377822876,
0.028332307934761047,
0.035690318793058395,
0.011692162603139877,
0.053018514066934586,
-0.018312841653823853,
0.062416575849056244,
0.029269982129335403,
-0.04680230841040611,
-0.052715934813022614,
0.035702019929885864,
0.011642293073236942,
-0.003608525963500142,
-0.011778154410421848,
-0.04472556337714195,
-0.010860730893909931,
-0.09046456217765808,
-0.029372794553637505,
-0.004447069019079208,
-0.005621619988232851,
-0.05406127870082855,
-0.02703644521534443,
0.00024042664153967053,
0.005168545991182327,
0.013903891667723656,
-0.02794339321553707,
0.002359688049182296,
-0.03529554605484009,
-0.04391244053840637,
-0.06116551160812378,
-0.004336142912507057,
-0.030666880309581757,
0.034648347645998,
-0.03692132234573364,
-0.04258507862687111,
0.0075536612421274185,
-0.028446033596992493,
-0.000661053869407624,
0.022409267723560333,
0.0017258136067539454,
-0.01961079239845276
] |
https://github.com/khalil-research/ConsFormer
|
533 |
MIB: A Mechanistic Interpretability Benchmark
|
https://openreview.net/forum?id=sSrOwve6vb
|
[
"Aaron Mueller",
"Atticus Geiger",
"Sarah Wiegreffe",
"Dana Arad",
"Iván Arcuschin",
"Adam Belfki",
"Yik Siu Chan",
"Jaden Fried Fiotto-Kaufman",
"Tal Haklay",
"Michael Hanna",
"Jing Huang",
"Rohan Gupta",
"Yaniv Nikankin",
"Hadas Orgad",
"Nikhil Prakash",
"Anja Reusch",
"Aruna Sankaranarayanan",
"Shun Shao",
"Alessandro Stolfo",
"Martin Tutek",
"et al. (3 additional authors not shown)"
] |
Poster
|
How can we know whether new mechanistic interpretability methods achieve real improvements?
In pursuit of lasting evaluation standards, we propose MIB, a Mechanistic Interpretability Benchmark, with two tracks spanning four tasks and five models. MIB favors methods that precisely and concisely recover relevant causal pathways or causal variables in neural language models. The circuit localization track compares methods that locate the model components---and connections between them---most important for performing a task (e.g., attribution patching or information flow routes). The causal variable track compares methods that featurize a hidden vector, e.g., sparse autoencoders (SAE) or distributed alignment search (DAS), and align those features to a task-relevant causal variable. Using MIB, we find that attribution and mask optimization methods perform best on circuit localization. For causal variable localization, we find that the supervised DAS method performs best, while SAEs features are not better than neurons, i.e., non-featurized hidden vectors. These findings illustrate that MIB enables meaningful comparisons, and increases our confidence that there has been real progress in the field.
|
interpretability, causality, localization, benchmarking, circuits
|
We propose a benchmark to establish lasting standards for comparing causal localization methods.
| 13,210 |
2504.13151
|
[
-0.027517668902873993,
-0.011551236733794212,
-0.04380962625145912,
0.042551808059215546,
0.0379108227789402,
0.04118376597762108,
0.032110244035720825,
0.0048723951913416386,
-0.023295503109693527,
-0.012287519872188568,
0.010762686841189861,
0.026077695190906525,
-0.03963945806026459,
0.009883135557174683,
-0.0022461717016994953,
0.03702860698103905,
0.04781197011470795,
-0.022458985447883606,
0.03822936490178108,
0.0038502009119838476,
0.01974993199110031,
-0.002231476828455925,
0.008888143114745617,
0.021847017109394073,
0.025559861212968826,
0.033327918499708176,
0.0170994121581316,
-0.03640903905034065,
-0.035924553871154785,
0.007463492918759584,
0.037909094244241714,
0.0028213062323629856,
0.011305947788059711,
-0.021234728395938873,
-0.0017516037914901972,
0.03529975190758705,
-0.0351465605199337,
0.004416653420776129,
0.00008177738345693797,
0.013128756545484066,
-0.059801965951919556,
0.03204522281885147,
-0.012253766879439354,
0.014525198377668858,
-0.07501357793807983,
0.03850330784916878,
-0.13660599291324615,
0.03029686212539673,
0.005931837484240532,
-0.04109815135598183,
-0.08463054150342941,
0.031546734273433685,
-0.00394005561247468,
-0.00885916966944933,
0.012383940629661083,
0.0401722714304924,
0.06004432961344719,
-0.0953313335776329,
-0.021136492490768433,
-0.029755325987935066,
-0.040336694568395615,
0.029865356162190437,
0.011210650205612183,
0.029912926256656647,
0.02595089189708233,
0.0015393492067232728,
-0.012862817384302616,
0.020017677918076515,
-0.07886897772550583,
-0.015997696667909622,
-0.022833077237010002,
-0.009913439862430096,
-0.01920042373239994,
0.0009501206804998219,
0.013856109231710434,
-0.04481949657201767,
0.03246366232633591,
0.02497962675988674,
0.03648785129189491,
-0.0023234281688928604,
0.018835144117474556,
0.013763077557086945,
0.01642409898340702,
0.03954344987869263,
0.02250732108950615,
-0.0001409260294167325,
-0.05721432715654373,
-0.040816936641931534,
-0.06393984705209732,
0.00029621526482515037,
-0.014283443801105022,
-0.05445726960897446,
0.012253937311470509,
0.035189393907785416,
0.021059440448880196,
-0.0015626632375642657,
0.03848520293831825,
0.018455464392900467,
-0.018766753375530243,
-0.00814811885356903,
-0.030093735083937645,
-0.03775060921907425,
0.0012599622132256627,
0.043772682547569275,
-0.12196683883666992,
-0.012674364261329174,
-0.014602351933717728,
-0.027432873845100403,
0.0021990875247865915,
-0.015640513971447945,
0.0017851559678092599,
0.006021921988576651,
0.020289026200771332,
-0.01516849733889103,
-0.07638274878263474,
0.03398732841014862,
0.004225286655128002,
0.006554403807967901,
0.006681346334517002,
0.01933908835053444,
0.0671471357345581,
0.08158066123723984,
0.01139733474701643,
0.06832753121852875,
-0.024764670059084892,
0.01697912998497486,
0.012810085900127888,
0.019831327721476555,
-0.011286890134215355,
-0.025953641161322594,
-0.008138222619891167,
0.02097262628376484,
0.015676084905862808,
-0.037806134670972824,
0.003805840387940407,
-0.02624478004872799,
0.049287594854831696,
0.0072441305965185165,
0.05298411473631859,
0.007435789331793785,
0.01588408648967743,
-0.026893239468336105,
0.04500237852334976,
-0.032041627913713455,
0.06687100231647491,
-0.008276156149804592,
-0.03120342455804348,
-0.0049747079610824585,
-0.0498373880982399,
0.007735906168818474,
0.005121140740811825,
0.006822798401117325,
-0.01786133460700512,
-0.07149077951908112,
0.013487660326063633,
0.08017705380916595,
-0.00906969141215086,
0.00313057703897357,
0.02071893773972988,
0.009575419127941132,
0.009383663535118103,
-0.016237271949648857,
-0.032878875732421875,
-0.005020656622946262,
-0.013028302229940891,
-0.0486946776509285,
0.0504167340695858,
0.03600580245256424,
-0.05174330621957779,
0.009194510988891125,
-0.05483632907271385,
-0.06951214373111725,
0.07627298682928085,
0.0019457690650597215,
-0.03740137442946434,
0.0048766713589429855,
0.039206720888614655,
-0.019557273015379906,
0.026574814692139626,
0.046732597053050995,
-0.07770173996686935,
0.02419641613960266,
-0.021196531131863594,
-0.014653995633125305,
0.03788650780916214,
-0.012272277846932411,
0.08884860575199127,
-0.05834775045514107,
-0.011327428743243217,
0.01518364530056715,
-0.06572932749986649,
-0.03590695559978485,
0.014084822498261929,
0.01641063578426838,
0.045104626566171646,
0.01888313703238964,
0.0004921063082292676,
0.044704362750053406,
0.04364650323987007,
0.04259383678436279,
0.0390109159052372,
-0.04781859740614891,
0.04802602156996727,
-0.015122424811124802,
-0.03845444694161415,
0.004398554563522339,
0.04114554449915886,
-0.058524273335933685,
-0.045099157840013504,
-0.01600635051727295,
-0.013739305548369884,
-0.010422371327877045,
-0.003836396150290966,
-0.019366459921002388,
0.008526240475475788,
0.005079556256532669,
0.005381166934967041,
0.018196046352386475,
-0.006334760691970587,
-0.0428159199655056,
0.04779842123389244,
0.02573658525943756,
-0.02625938132405281,
0.01779509149491787,
-0.026310650631785393,
0.10961339622735977,
0.05489901825785637,
-0.010815363377332687,
-0.031646981835365295,
0.046393051743507385,
0.01316529419273138,
-0.00927824154496193,
-0.01407588366419077,
-0.02834567427635193,
-0.004655835218727589,
0.0088065629824996,
-0.025062844157218933,
-0.012518501840531826,
0.05746564269065857,
-0.048334792256355286,
0.011080775409936905,
0.044009730219841,
-0.02644355222582817,
0.050681110471487045,
-0.012463870458304882,
0.02524479292333126,
0.025469498708844185,
-0.021967269480228424,
-0.052444107830524445,
-0.010268069803714752,
-0.0003169350966345519,
0.009838048368692398,
-0.017809061333537102,
-0.03409016504883766,
0.022239137440919876,
-0.033333539962768555,
-0.02143334038555622,
-0.002831614576280117,
0.07013353705406189,
0.046091947704553604,
0.012214146554470062,
0.056225840002298355,
0.00011532829375937581,
-0.054541800171136856,
0.019096964970231056,
-0.08176509290933609,
-0.03007463552057743,
0.003753257216885686,
0.0492103174328804,
-0.007160897366702557,
0.04892235994338989,
-0.015337591990828514,
0.013214945793151855,
-0.019659487530589104,
-0.027830837294459343,
0.018403764814138412,
0.041930150240659714,
0.013565252535045147,
-0.028804335743188858,
-0.008790374733507633,
0.008160963654518127,
0.04947127774357796,
-0.025442171841859818,
0.018249917775392532,
-0.03450445458292961,
-0.05704699829220772,
-0.03661245107650757,
-0.007349242921918631,
0.004449907690286636,
0.016690995544195175,
0.02439144253730774,
0.0001695906394161284,
-0.01631668582558632,
0.030372323468327522,
0.025892630219459534,
0.039871539920568466,
0.02493303455412388,
0.013003421016037464,
0.001980729168280959,
0.0036959408316761255,
0.001586111611686647,
0.016305914148688316,
-0.01178235188126564,
0.006125601939857006,
0.009340866468846798,
0.013629183173179626,
0.025946447625756264,
-0.0029304318595677614,
-0.2651211619377136,
-0.01334402710199356,
0.009249070659279823,
-0.022371621802449226,
0.05790174752473831,
-0.028661316260695457,
0.017015744000673294,
-0.02223728597164154,
-0.0246573518961668,
-0.021600279957056046,
0.02432328835129738,
0.01674623414874077,
0.011078406125307083,
0.04745553433895111,
0.019567931070923805,
0.01928921416401863,
-0.03140336647629738,
-0.05057493969798088,
0.014200211502611637,
0.04870394989848137,
0.0008415968623012304,
-0.0770728662610054,
-0.009147199802100658,
0.036088403314352036,
-0.009150328114628792,
0.05323578789830208,
-0.11311548203229904,
-0.00562385655939579,
-0.036179013550281525,
-0.019084881991147995,
-0.02443208545446396,
-0.021601280197501183,
-0.03152751550078392,
0.0242813378572464,
0.003793771378695965,
-0.0010781860910356045,
0.025828596204519272,
0.003069845726713538,
0.03580158203840256,
0.00945285800844431,
-0.005687396973371506,
-0.018623724579811096,
-0.03575426712632179,
-0.007727030199021101,
0.055686645209789276,
0.0035040711518377066,
-0.025773698464035988,
-0.02008354663848877,
-0.009388022124767303,
0.027310380712151527,
-0.0012970482930541039,
0.0013102652737870812,
-0.03328082337975502,
0.018407456576824188,
0.016723640263080597,
-0.02449055388569832,
0.008998623117804527,
-0.0029741465114057064,
-0.01661265268921852,
-0.011935719288885593,
-0.009550836868584156,
-0.023046111688017845,
0.01990699954330921,
-0.026909569278359413,
0.002628181129693985,
-0.035916976630687714,
-0.06831227988004684,
-0.05220906063914299,
0.049520861357450485,
0.03139190375804901,
-0.008613372221589088,
0.013239664025604725,
-0.02214421145617962,
-0.10396549105644226,
0.022695088759064674,
0.00396614009514451,
-0.014902710914611816,
-0.0060147191397845745,
0.007744076661765575,
0.04025295004248619,
-0.03165533021092415,
-0.017654431983828545,
-0.017988236621022224,
0.007787487003952265,
0.014374173246324062,
-0.023361286148428917,
0.014075850136578083,
-0.03447612002491951,
-0.02857021614909172,
-0.02420632354915142,
0.022328631952404976,
0.018328450620174408,
0.036479003727436066,
-0.01367281749844551,
0.048424165695905685,
0.03648998960852623,
0.03929011523723602,
0.0635790005326271,
0.034618183970451355,
0.005419669207185507,
0.010777774266898632,
-0.09088188409805298,
-0.0114601980894804,
-0.020781680941581726,
-0.04568533971905708,
0.021218912675976753,
-0.06370081752538681,
-0.03969171270728111,
0.03164619207382202,
-0.0065849279053509235,
-0.036276675760746,
-0.03546999767422676,
0.017258120700716972,
-0.014730081893503666,
0.02852749638259411,
-0.007584115490317345,
0.01126014906913042,
0.019256168976426125,
0.02941996604204178,
-0.023319117724895477,
-0.0037914938293397427,
0.02836063876748085,
0.003751808311790228,
0.029610877856612206,
0.02356868050992489,
-0.02410065568983555,
0.005420789122581482,
0.00047122390242293477,
0.025545207783579826,
-0.002147626830264926,
0.033781588077545166,
0.036734841763973236,
0.008742200210690498,
0.0404641255736351,
0.03096242994070053,
-0.02581043355166912,
-0.005414907354861498,
-0.012736559845507145,
0.01632547751069069,
-0.023458633571863174,
0.015761610120534897,
-0.025782819837331772,
0.025980040431022644,
0.021826008334755898,
0.04346593841910362,
0.006364104337990284,
0.004698643460869789,
-0.013008111156523228,
-0.023127788677811623,
-0.023888057097792625,
0.052145399153232574,
-0.05326763913035393,
-0.05223807319998741,
-0.04320565238595009,
0.02208096720278263,
0.004076252691447735,
0.014005511067807674,
0.002889937022700906,
0.015278725884854794,
-0.06747640669345856,
0.06614909321069717,
-0.02321663312613964,
0.005296684801578522,
0.0005262155318632722,
-0.021546993404626846,
0.03772007301449776,
-0.012171427719295025,
0.016437938436865807,
0.015595058910548687,
0.01639413833618164,
-0.01336565800011158,
-0.02050771936774254,
-0.03015713207423687,
0.0045936559326946735,
-0.011974437162280083,
0.014050993137061596,
-0.010126025415956974,
-0.01863507740199566,
-0.014175350777804852,
0.037645019590854645,
-0.010631861165165901,
-0.05263442546129227,
0.020495159551501274,
-0.010578473098576069,
0.08450277894735336,
0.00451055308803916,
0.027112556621432304,
-0.0020568338222801685,
-0.037770893424749374,
0.013441014103591442,
0.010118082165718079,
-0.0031928722746670246,
-0.03540141507983208,
-0.033269476145505905,
-0.03824082762002945,
-0.041181035339832306,
0.02309243567287922,
0.005475114099681377,
-0.030273545533418655,
-0.012679767794907093,
0.004817730747163296,
0.0004755044647026807,
-0.024006398394703865,
-0.010913285426795483,
0.02749926596879959,
-0.07924669235944748,
-0.0025972495786845684,
0.07657589018344879,
-0.029372723773121834,
0.04316414147615433,
-0.014576728455722332,
-0.0337260365486145,
-0.05127913877367973,
-0.012255723588168621,
0.008106211200356483,
0.004706306383013725,
0.017405377700924873,
-0.018977493047714233,
0.0036955622490495443,
0.0065757217817008495,
0.01012936420738697,
-0.0003161970234941691,
0.0016493771690875292,
-0.028757404536008835,
0.020719876512885094,
0.04125487059354782,
-0.01846008375287056,
-0.01454213447868824,
-0.010098765604197979,
-0.038182418793439865,
0.003511891234666109,
-0.025739140808582306,
0.050878360867500305,
0.04850215092301369,
0.0003554776485543698,
-0.03306460380554199,
-0.048467401415109634,
0.036192744970321655,
-0.0044495160691440105,
-0.006893754471093416,
-0.00040518006426282227,
-0.0028918785974383354,
-0.03683393448591232,
0.028195014223456383,
0.012970090843737125,
0.02150137722492218,
0.013317086733877659,
0.000521850713994354,
0.00653701601549983,
0.003090169280767441,
0.04682121053338051,
0.04414743930101395,
-0.03828641399741173,
-0.014603517949581146,
0.0667261928319931,
-0.03442748263478279,
-0.04485318437218666,
-0.058441270142793655,
-0.03048449382185936,
-0.009024309925734997,
0.0021854816004633904,
0.04103454202413559,
-0.0026409488637000322,
0.05779976397752762,
-0.0032137720845639706,
0.016634277999401093,
0.008589325472712517,
-0.002848736010491848,
0.04264557734131813,
-0.05750536918640137,
0.010837928391993046,
-0.06535598635673523,
-0.0034817226696759462,
0.0762108638882637,
-0.07082530856132507,
0.0022919559851288795,
0.0036182552576065063,
-0.014195402152836323,
0.03108125552535057,
-0.03840683400630951,
-0.047419071197509766,
0.007464454509317875,
-0.03200545161962509,
0.008402644656598568,
0.023192735388875008,
-0.04781930148601532,
-0.009433961473405361,
-0.011551637202501297,
-0.026879917830228806,
-0.014100917614996433,
-0.0008343974477611482,
0.05446091666817665,
-0.015587713569402695,
0.029522549360990524,
-0.011437968350946903,
0.018088985234498978,
0.02676396630704403,
0.06283584237098694,
0.035793326795101166,
0.015452632680535316,
-0.029934925958514214,
0.05441800504922867,
0.036915410310029984,
-0.002478706883266568,
-0.03163917735219002,
0.006162848323583603,
-0.030514489859342575,
-0.044942643493413925,
0.05110964551568031,
-0.028615841642022133,
-0.01119629479944706,
-0.07391728460788727,
0.060664113610982895,
0.02039354108273983,
-0.03267655521631241,
-0.03715403750538826,
0.027757087722420692,
-0.04201481491327286,
-0.0031512172427028418,
0.029000133275985718,
-0.009839264675974846,
-0.0015612171264365315,
0.07584620267152786,
0.03187771886587143,
0.0648946687579155,
0.06652442365884781,
0.014456541277468204,
-0.01708769053220749,
-0.03084937483072281,
0.08699611574411392,
0.06123925372958183,
0.04257025942206383,
0.021319223567843437,
0.08110370486974716,
-0.029672347009181976,
-0.03506975620985031,
0.02474389038980007,
0.03136042505502701,
-0.021221647039055824,
-0.04834292456507683,
0.02343219891190529,
0.09203437715768814,
0.0017861828673630953,
0.07018184661865234,
-0.024472445249557495,
0.011505521833896637,
0.05047150328755379,
0.012040593661367893,
-0.01195666566491127,
0.06693301349878311,
0.02531733550131321,
0.001060909009538591,
-0.024460365995764732,
-0.019489070400595665,
-0.03679775446653366,
-0.004840909969061613,
-0.0001334211992798373,
0.02870176173746586,
-0.030816521495580673,
0.019328130409121513,
-0.009183450601994991,
0.05288511887192726,
0.1189650297164917,
-0.021898606792092323,
-0.014154979959130287,
0.03171816095709801,
0.013979006558656693,
0.003307291539385915,
0.06125381588935852,
-0.008267421275377274,
-0.00851069763302803,
-0.007218473125249147,
-0.05674154683947563,
0.008194668218493462,
0.0344943106174469,
0.006391129456460476,
0.02299685962498188,
-0.043232254683971405,
-0.03125626966357231,
0.011947665363550186,
0.04366957023739815,
-0.00977669283747673,
-0.04833858087658882,
-0.03901093453168869,
-0.07777775824069977,
-0.056128259748220444,
-0.06512956321239471,
0.03378482535481453,
-0.019855238497257233,
-0.03385872766375542,
0.001311478903517127,
-0.04093340411782265,
0.0070114219561219215,
0.028537888079881668,
-0.06950192153453827,
-0.01533748209476471,
0.03760441392660141,
-0.03848498687148094,
-0.02055555023252964,
0.028346985578536987,
0.013870568946003914,
-0.018560325726866722,
-0.029356641694903374,
0.04143897816538811,
-0.0030941341537982225,
0.01633729413151741,
-0.012302256189286709,
-0.03736838325858116,
-0.10983575880527496,
-0.005620976909995079,
0.013691877014935017,
-0.01586969569325447,
-0.0958467572927475,
0.018880978226661682,
-0.013275723904371262,
0.02254507690668106,
0.08491140604019165,
-0.005523337982594967,
0.019289907068014145,
0.011394927278161049,
-0.012100912630558014,
0.019214270636439323,
-0.00351399602368474,
0.0433233380317688,
-0.028167089447379112,
0.09491685777902603,
0.05980927124619484,
-0.026629028841853142,
-0.031224675476551056,
0.01728360541164875,
-0.025215690955519676,
-0.02709466591477394,
-0.017327196896076202,
-0.041260551661252975,
-0.03502459451556206,
-0.11416077613830566,
-0.010211481712758541,
0.018699364736676216,
-0.021481260657310486,
-0.03727547824382782,
0.013808278366923332,
-0.031342513859272,
-0.041833531111478806,
-0.024652358144521713,
-0.01641172543168068,
-0.004386852495372295,
-0.01117166317999363,
-0.052512381225824356,
-0.074614517390728,
0.007016246672719717,
-0.024894623085856438,
0.028207043185830116,
-0.06985295563936234,
-0.019079705700278282,
0.0024195413570851088,
0.025235597044229507,
0.049725066870450974,
0.01709653250873089,
0.014916098676621914,
-0.014767039567232132
] |
https://github.com/aaronmueller/MIB
|
534 |
Convergence Analysis of Policy Gradient Methods with Dynamic Stochasticity
|
https://openreview.net/forum?id=XEYoTQv00G
|
[
"Alessandro Montenegro",
"Marco Mussi",
"Matteo Papini",
"Alberto Maria Metelli"
] |
Poster
|
*Policy gradient* (PG) methods are effective *reinforcement learning* (RL) approaches, particularly for continuous problems. While they optimize stochastic (hyper)policies via action- or parameter-space exploration, real-world applications often require deterministic policies. Existing PG convergence guarantees to deterministic policies assume a fixed stochasticity in the (hyper)policy, tuned according to the desired final suboptimality, whereas practitioners commonly use a dynamic stochasticity level.
This work provides the theoretical foundations for this practice. We introduce PES, a phase-based method that reduces stochasticity via a deterministic schedule while running PG subroutines with fixed stochasticity in each phase. Under gradient domination assumptions, PES achieves last-iterate convergence to the optimal deterministic policy with a sample complexity of order $\widetilde{\mathcal{O}}(\epsilon^{-5})$.
Additionally, we analyze the common practice, termed SL-PG, of jointly learning stochasticity (via an appropriate parameterization) and (hyper)policy parameters. We show that SL-PG also ensures last-iterate convergence with a rate $\widetilde{\mathcal{O}}(\epsilon^{-3})$, but to the optimal stochastic (hyper)policy only, requiring stronger assumptions compared to PES.
|
reinforcement learning, policy gradients, convergence, deterministic policies
|
Study of last-iterate convergence guarantees to the optimal deterministic policy of policy gradients dynamically adjusting the stochasticity of the (hyper)policy.
| 13,207 | null |
[
-0.02248373068869114,
-0.03465414419770241,
0.00845386553555727,
0.04782981425523758,
0.01855572685599327,
0.04221643880009651,
0.014111412689089775,
-0.006937084253877401,
-0.02972188964486122,
-0.045125845819711685,
-0.0015290476148948073,
-0.028412913903594017,
-0.06295321881771088,
-0.0148469852283597,
0.04369893670082092,
0.06056617572903633,
0.02323523350059986,
-0.01226404681801796,
0.014764375053346157,
0.012725508771836758,
-0.013097015209496021,
0.01698135957121849,
0.04180208221077919,
0.014354481361806393,
0.04357663169503212,
-0.000894049764610827,
0.026172984391450882,
0.02103818953037262,
-0.023644162341952324,
-0.02578539401292801,
0.03422752022743225,
-0.002033795230090618,
-0.003784752916544676,
0.0013633731286972761,
0.020867375656962395,
0.022038567811250687,
-0.009343867190182209,
-0.015289944596588612,
0.0070162080228328705,
0.004722579848021269,
-0.027575824409723282,
0.025344612076878548,
-0.03979267552495003,
0.016830626875162125,
-0.013994155451655388,
0.015958406031131744,
-0.0798407718539238,
0.02544969692826271,
0.030180467292666435,
-0.058232396841049194,
-0.08913019299507141,
0.014907598495483398,
0.029062047600746155,
-0.040362533181905746,
-0.018053602427244186,
0.0385880246758461,
0.030891774222254753,
-0.08239620923995972,
-0.004156884737312794,
-0.04366396367549896,
-0.037156879901885986,
0.008342059329152107,
0.007233028300106525,
0.013754044659435749,
0.01595165766775608,
-0.008318614214658737,
0.02755926176905632,
0.05608467012643814,
-0.039187341928482056,
-0.021766899153590202,
-0.053783632814884186,
0.017557496204972267,
0.0174122154712677,
0.016363635659217834,
-0.003711255267262459,
-0.0447036474943161,
0.011237025260925293,
0.04003620147705078,
0.05266043171286583,
0.013977925293147564,
0.005059946794062853,
0.01538297813385725,
0.03893934190273285,
0.04628662392497063,
0.01685362681746483,
0.03382182866334915,
-0.035444848239421844,
-0.025967929512262344,
-0.07657275348901749,
0.046667370945215225,
-0.041423242539167404,
-0.05919979140162468,
0.003626528661698103,
0.04895545914769173,
0.02108926512300968,
0.0021549181547015905,
0.024388188496232033,
0.0328633151948452,
0.02305680699646473,
-0.03105381317436695,
-0.032393570989370346,
-0.013008053414523602,
-0.011141158640384674,
-0.040263645350933075,
-0.10149654000997543,
-0.013993036933243275,
-0.027428505942225456,
-0.0008627995266579092,
-0.02698739618062973,
0.029593724757432938,
-0.042834971100091934,
0.0124590452760458,
0.0203115064650774,
-0.02706868015229702,
-0.06917468458414078,
0.01703033037483692,
-0.015303432010114193,
0.02289491519331932,
0.024190276861190796,
0.020714562386274338,
0.02569766715168953,
0.03824887052178383,
0.01610025390982628,
0.0465092770755291,
-0.024556972086429596,
0.022271770983934402,
0.029840245842933655,
0.019371040165424347,
0.0054549844935536385,
-0.044247474521398544,
0.04393789917230606,
0.028153371065855026,
0.003622050629928708,
0.002188378944993019,
-0.06550099700689316,
-0.01757829077541828,
-0.015297232195734978,
0.03118715062737465,
0.002800616202875972,
-0.009953392669558525,
-0.04156840220093727,
-0.02437879890203476,
0.10202053934335709,
-0.007820768281817436,
0.03409131243824959,
-0.017485201358795166,
0.04540258273482323,
-0.03117680922150612,
-0.082567498087883,
-0.011434346437454224,
0.011081176809966564,
-0.01305229403078556,
-0.012197013013064861,
-0.05272601917386055,
0.023370934650301933,
0.025978384539484978,
0.03596251830458641,
0.03353988379240036,
0.00008813044405542314,
-0.002685082610696554,
0.027624761685729027,
0.002167855389416218,
-0.03772890940308571,
0.0005551411886699498,
0.00954413041472435,
-0.08083435893058777,
0.077057845890522,
0.0290064737200737,
0.014559128321707249,
-0.021633120253682137,
-0.0410720556974411,
-0.024961113929748535,
0.02828027866780758,
-0.007520634680986404,
0.013125674799084663,
0.012240232899785042,
0.05704664811491966,
-0.02334265224635601,
0.05085927993059158,
0.017619406804442406,
-0.08010146766901016,
0.019447483122348785,
0.016101151704788208,
0.026230884715914726,
0.011840703897178173,
-0.033672135323286057,
0.09984706342220306,
-0.049828700721263885,
0.03449321165680885,
0.005053069442510605,
-0.07843019813299179,
-0.03226470947265625,
0.012493216432631016,
-0.02462274208664894,
0.05721510574221611,
0.0064060441218316555,
0.0058093261905014515,
-0.00261108111590147,
0.004616096615791321,
0.046925123780965805,
0.05444378778338432,
-0.056304093450307846,
0.030181825160980225,
0.004463749006390572,
-0.022198496386408806,
-0.01225219015032053,
0.03800612688064575,
-0.03910718858242035,
-0.05056064948439598,
0.025410069152712822,
-0.014246372506022453,
0.01283363439142704,
-0.009191985242068768,
0.028311170637607574,
0.030332986265420914,
-0.00003873066816595383,
0.021117746829986572,
0.00285074464045465,
0.026954201981425285,
-0.03541407361626625,
0.04009338095784187,
-0.0006968370289541781,
-0.02499241940677166,
0.033363375812768936,
0.007446120493113995,
0.07537256181240082,
0.08173518627882004,
-0.031630076467990875,
-0.029171299189329147,
0.009730889461934566,
-0.006513246335089207,
-0.01714775152504444,
0.016267169266939163,
-0.024417005479335785,
0.022125661373138428,
0.03427475318312645,
-0.007579287514090538,
-0.029588036239147186,
0.053450703620910645,
-0.02474833093583584,
-0.003625544486567378,
0.05568719282746315,
0.010152559727430344,
0.0660124346613884,
-0.0055671087466180325,
-0.0033997066784650087,
0.032224200665950775,
0.0425390861928463,
-0.05541878566145897,
-0.020374590530991554,
-0.052456922829151154,
-0.006020150613039732,
0.026376040652394295,
-0.0006177322939038277,
-0.04083733260631561,
-0.06847584247589111,
-0.010538827627897263,
-0.014201215468347073,
0.06463311612606049,
0.05017699673771858,
0.025667712092399597,
0.005167272407561541,
-0.017997564747929573,
-0.0043220967054367065,
-0.03015369363129139,
-0.1269807666540146,
-0.041669219732284546,
0.018696973100304604,
0.01572045497596264,
0.05555720999836922,
0.009652519598603249,
-0.02467040903866291,
0.04346742853522301,
-0.035692181438207626,
-0.050968922674655914,
-0.005770654883235693,
0.007066266145557165,
0.01621389389038086,
-0.016864778473973274,
-0.01713116653263569,
0.013818097300827503,
0.07611487805843353,
-0.00659606046974659,
-0.006879777647554874,
-0.03448820114135742,
-0.039156731218099594,
0.014575968496501446,
-0.07612568140029907,
-0.008281116373836994,
0.004242497496306896,
0.00916342157870531,
0.01037314347922802,
-0.06108500435948372,
0.02704782225191593,
0.01260672602802515,
0.05728371441364288,
0.03969678655266762,
0.031234605237841606,
0.007929861545562744,
0.011454939842224121,
-0.00236708321608603,
-0.020438170060515404,
-0.023403849452733994,
0.03746587410569191,
-0.005167270079255104,
-0.03806911036372185,
0.021727265790104866,
0.009231984615325928,
-0.2633587718009949,
-0.026465347036719322,
0.011734643019735813,
0.031137321144342422,
0.04039064422249794,
0.01065552793443203,
0.06390319019556046,
-0.012903228402137756,
-0.01859019510447979,
0.002314905170351267,
0.010739108547568321,
0.025468476116657257,
-0.0004913943121209741,
0.05927914381027222,
0.018798327073454857,
0.014682704582810402,
0.007258158642798662,
-0.013084187172353268,
0.0015429264167323709,
0.0021505472250282764,
-0.014797184616327286,
-0.09829394519329071,
0.015569048933684826,
0.022504830732941628,
0.0075533427298069,
0.03484230116009712,
-0.05143604055047035,
-0.012033351697027683,
-0.039563823491334915,
0.001371989375911653,
-0.03026491031050682,
-0.011622248217463493,
-0.048412058502435684,
0.02550174854695797,
0.01886827126145363,
0.0240092184394598,
0.04239979386329651,
0.006377198733389378,
0.01793540269136429,
0.02345052734017372,
0.008414213545620441,
0.00980893149971962,
-0.045564986765384674,
0.028211601078510284,
0.0550762340426445,
0.055383194237947464,
-0.04413694888353348,
0.0000553697427676525,
-0.011276448145508766,
0.03283287584781647,
0.011447211727499962,
-0.012446843087673187,
0.00020399896311573684,
-0.009686019271612167,
0.03576499596238136,
0.0014854746405035257,
-0.018233682960271835,
-0.03970284387469292,
0.0061255465261638165,
0.017698826268315315,
-0.01158943958580494,
-0.05628775432705879,
-0.02722504548728466,
-0.03093867376446724,
0.007900749333202839,
-0.01917983405292034,
-0.05672476813197136,
-0.05016108602285385,
0.01782994531095028,
0.022173458710312843,
-0.0008000485831871629,
-0.012401687912642956,
-0.04327965900301933,
-0.10081391036510468,
0.023713352158665657,
-0.003741585649549961,
-0.002808281686156988,
-0.04765058308839798,
0.012299356050789356,
0.0431722067296505,
-0.041273415088653564,
-0.027535714209079742,
-0.025342212989926338,
0.01050207857042551,
0.0418192557990551,
-0.01945084147155285,
0.04358116537332535,
-0.053615063428878784,
-0.02983415126800537,
-0.039031267166137695,
0.026341916993260384,
0.024093542248010635,
0.03884240239858627,
-0.024752633646130562,
0.04771098867058754,
0.029321059584617615,
0.007473852951079607,
0.05910947546362877,
0.023080237209796906,
-0.04613550007343292,
0.02654336951673031,
-0.0782693475484848,
-0.024170158430933952,
-0.05580597743391991,
-0.013703595846891403,
0.031350813806056976,
-0.06910078227519989,
-0.05739101022481918,
0.030833905562758446,
0.011018035933375359,
-0.01225887332111597,
-0.027576059103012085,
0.003086675424128771,
0.0013554546749219298,
0.002527243224903941,
-0.017164696007966995,
-0.04113646224141121,
0.03233042359352112,
0.032505009323358536,
-0.000870561576448381,
-0.07858531922101974,
0.049496956169605255,
-0.029722077772021294,
0.004591457080096006,
-0.019459005445241928,
0.0024172512348741293,
0.012280245311558247,
-0.014078131876885891,
0.00398268923163414,
0.0033548776991665363,
0.04223163425922394,
0.05614018440246582,
0.007964006625115871,
-0.007628432009369135,
0.03688507154583931,
0.001632913015782833,
-0.0034398480784147978,
-0.017609264701604843,
0.037413544952869415,
-0.004298886749893427,
0.0010415025753900409,
0.005151845049113035,
0.06027289107441902,
0.005090001970529556,
0.000930127571336925,
0.0277062077075243,
0.021752888336777687,
0.0208920668810606,
0.03368368372321129,
-0.013846388086676598,
0.041087694466114044,
-0.04843626916408539,
0.006368699017912149,
-0.012780025601387024,
0.05153864994645119,
-0.03762723132967949,
0.03542337939143181,
-0.017986860126256943,
0.01619676500558853,
-0.0600384883582592,
0.028566060587763786,
0.02374967932701111,
-0.04447481408715248,
-0.005343320779502392,
0.02662319503724575,
0.06506174057722092,
-0.037046026438474655,
0.0013923438964411616,
-0.010081491433084011,
0.0016163744730874896,
0.010352550074458122,
-0.046619806438684464,
-0.01636110618710518,
-0.023983465507626534,
-0.014966815710067749,
-0.016646146774291992,
0.03377782925963402,
-0.04908091574907303,
-0.06246792897582054,
-0.00026805762900039554,
-0.016520172357559204,
-0.030989225953817368,
-0.022454025223851204,
0.015738679096102715,
0.06416137516498566,
-0.02534267120063305,
0.0039119720458984375,
0.015767160803079605,
-0.04128238186240196,
0.0324619896709919,
-0.0012687207199633121,
0.01874486356973648,
-0.011787828989326954,
-0.05628165230154991,
-0.01785377971827984,
-0.03653736039996147,
-0.0018823908176273108,
0.016047116369009018,
-0.020942334085702896,
-0.006423402577638626,
-0.00586337735876441,
0.007897336035966873,
-0.0221879780292511,
0.0009402654832229018,
0.013063130900263786,
-0.04348808154463768,
-0.006775083020329475,
0.05186871811747551,
-0.001230901456438005,
0.05120213329792023,
-0.04730025306344032,
-0.0452926866710186,
-0.029681185260415077,
-0.01979813724756241,
-0.013157508336007595,
-0.018715200945734978,
-0.05157889798283577,
-0.009329154156148434,
-0.009781076572835445,
0.022556297481060028,
0.015438957139849663,
-0.010767495259642601,
0.0007617865921929479,
-0.04829323664307594,
0.0039020865224301815,
0.04362073168158531,
-0.02176082506775856,
-0.03761345520615578,
0.03508909419178963,
0.012677154503762722,
0.01092158630490303,
-0.08352888375520706,
0.01470791082829237,
0.04302984103560448,
0.011872444301843643,
0.0219072625041008,
-0.0584874153137207,
0.03982304409146309,
-0.02826116234064102,
-0.023073270916938782,
-0.05041952431201935,
0.031098492443561554,
-0.02505580149590969,
-0.026442762464284897,
-0.0026944035198539495,
0.028045330196619034,
0.033075954765081406,
0.013661057688295841,
0.0060967374593019485,
0.024188164621591568,
0.012637308798730373,
0.03636081516742706,
-0.08770446479320526,
0.04366432502865791,
0.06522896140813828,
-0.010076680220663548,
-0.015333742834627628,
-0.06776373833417892,
0.011162161827087402,
0.03310057520866394,
-0.05222439765930176,
-0.0003990643017459661,
-0.057620350271463394,
0.02957579866051674,
0.01519185584038496,
0.03262193128466606,
0.03261001035571098,
-0.010600901208817959,
0.03790605440735817,
-0.07246646285057068,
-0.011180110275745392,
-0.0769503191113472,
-0.01701342687010765,
0.05176983401179314,
-0.02673434466123581,
0.006755871698260307,
0.04199541360139847,
-0.024274615570902824,
0.039622772485017776,
-0.045181162655353546,
-0.05375976115465164,
0.037537582218647,
-0.0382399782538414,
-0.008708948269486427,
0.028523409739136696,
-0.05564761906862259,
-0.03557508811354637,
-0.011830306611955166,
-0.052597567439079285,
0.029540106654167175,
0.04178399220108986,
0.020540038123726845,
-0.0007779521401971579,
-0.023160094395279884,
-0.058528706431388855,
0.02362770028412342,
0.027618445456027985,
0.02410537749528885,
0.0082749268040061,
0.02390194870531559,
-0.04990146681666374,
0.05761053413152695,
0.04037562757730484,
0.046821556985378265,
-0.023171624168753624,
0.01705463044345379,
-0.02087380737066269,
-0.04252520948648453,
0.061093300580978394,
-0.010221743024885654,
0.005015361122786999,
-0.039950862526893616,
0.010215463116765022,
0.01136031560599804,
-0.05177406221628189,
-0.009616890922188759,
0.024865951389074326,
-0.059079039841890335,
-0.031157901510596275,
0.005401434376835823,
0.03526502475142479,
0.03939025104045868,
0.08446919173002243,
0.020310547202825546,
0.059268176555633545,
0.0513569638133049,
0.037897467613220215,
-0.003068967256695032,
0.00558635126799345,
0.07796817272901535,
0.06508434563875198,
0.03540506213903427,
-0.00867172796279192,
0.06418794393539429,
-0.042612697929143906,
-0.04676927626132965,
0.026900889351963997,
0.017802458256483078,
-0.018601464107632637,
-0.04104642942547798,
0.024584464728832245,
0.05750923231244087,
-0.003001927165314555,
0.06835069507360458,
-0.05913592129945755,
-0.021741826087236404,
0.05150225758552551,
0.007339037489145994,
-0.019442757591605186,
0.038083065301179886,
0.03860071301460266,
0.03314388915896416,
-0.016942117363214493,
-0.04593168944120407,
0.012527339160442352,
-0.009586344473063946,
0.029190417379140854,
-0.016478989273309708,
-0.004545731004327536,
0.014092433266341686,
0.044168177992105484,
-0.00489977840334177,
0.09875092655420303,
-0.055278897285461426,
-0.0016711559146642685,
0.011394891887903214,
0.00879860483109951,
-0.0015874247765168548,
0.06294652819633484,
0.012353326193988323,
-0.025112703442573547,
0.019748155027627945,
-0.05143501237034798,
0.04029057174921036,
0.043810129165649414,
-0.010820368304848671,
0.02315428853034973,
-0.03741048276424408,
0.005996410734951496,
0.0022945585660636425,
0.013401192612946033,
-0.0227026529610157,
-0.04334184154868126,
-0.037302929908037186,
-0.06730370223522186,
-0.04079321399331093,
-0.060210712254047394,
0.03436971828341484,
-0.020353442057967186,
-0.05000317841768265,
0.010585981421172619,
-0.026291806250810623,
0.011054354719817638,
-0.00011951722262892872,
-0.03285152092576027,
-0.027129944413900375,
0.044952698051929474,
-0.007012505084276199,
0.02607237733900547,
0.019632451236248016,
0.02873394452035427,
-0.02202547714114189,
-0.027737880125641823,
0.0023207843769341707,
0.019946467131376266,
0.02957981452345848,
-0.0380733422935009,
0.015732403844594955,
-0.08218959718942642,
0.014487147331237793,
0.030466027557849884,
-0.01907784678041935,
-0.07289114594459534,
0.040510572493076324,
-0.042904436588287354,
0.02725350111722946,
0.057182542979717255,
0.005885373335331678,
0.012962542474269867,
-0.05015764385461807,
-0.017875168472528458,
-0.003309443825855851,
0.0087336590513587,
0.036270659416913986,
-0.027791718021035194,
0.031181566417217255,
0.041431061923503876,
-0.03040419891476631,
-0.05317512899637222,
0.05479668825864792,
-0.003279958851635456,
-0.013448352925479412,
-0.006929295137524605,
-0.03252488002181053,
-0.007112087216228247,
-0.09599044173955917,
-0.015323080122470856,
0.053658194839954376,
0.014608330093324184,
-0.038741160184144974,
0.014061967842280865,
-0.012534458190202713,
-0.00011010121670551598,
0.010833464562892914,
-0.02483433112502098,
-0.003617849200963974,
-0.04446643218398094,
0.013263636268675327,
-0.06811890751123428,
0.0067544481717050076,
-0.029139727354049683,
0.021459948271512985,
-0.018507111817598343,
-0.03939948230981827,
-0.005635295063257217,
-0.010427861474454403,
0.021285418421030045,
0.00021757138893008232,
0.0019451435655355453,
-0.012305310927331448
] |
https://github.com/MontenegroAlessandro/MagicRL
|
535 |
Enforcing Idempotency in Neural Networks
|
https://openreview.net/forum?id=jk8vYZLty7
|
[
"Nikolaj Banke Jensen",
"Jamie Vicary"
] |
Poster
|
In this work, we propose a new architecture-agnostic method for training idempotent neural networks. An idempotent operator satisfies $f(x) = f(f(x))$, meaning it can be applied iteratively with no effect beyond the first application. Some neural networks used in data transformation tasks, such as image generation and augmentation, can represent non-linear idempotent projections. Using methods from perturbation theory we derive the recurrence relation ${\mathbf{K}' \leftarrow 3\mathbf{K}^2 - 2\mathbf{K}^3}$ for iteratively projecting a real-valued matrix $\mathbf{K}$ onto the manifold of idempotent matrices. Our analysis shows that for linear, single-layer MLP networks this projection 1) has idempotent fixed points, and 2) is attracting only around idempotent points. We give an extension to non-linear networks by considering our approach as a substitution of the gradient for the canonical loss function, achieving an architecture-agnostic training scheme. We provide experimental results for MLP- and CNN-based architectures with significant improvement in idempotent error over the canonical gradient-based approach. Finally, we demonstrate practical applications of the method as we train a generative network successfully using only a simple reconstruction loss paired with our method.
|
idempotent neural networks, non-convex optimisation, gradient-free optimisation
|
An alternative optimisation method to gradient-based approaches for finding idempotent neural networks is proposed and evaluated.
| 13,202 | null |
[
-0.029868001118302345,
-0.019893832504749298,
-0.0102049196138978,
0.025802303105592728,
0.02814050391316414,
0.05203549936413765,
0.016367094591259956,
-0.015173296444118023,
-0.04778558760881424,
-0.03338887169957161,
0.006244977470487356,
-0.0024416467640548944,
-0.06487845629453659,
0.018386751413345337,
-0.014894980937242508,
0.053255707025527954,
0.022572128102183342,
-0.017950832843780518,
0.010359161533415318,
0.02384015917778015,
-0.014300393871963024,
-0.04763827100396156,
0.038048870861530304,
-0.0008677883306518197,
0.0007161074317991734,
-0.00437232106924057,
0.007800699211657047,
-0.029334770515561104,
-0.03014354221522808,
-0.002570916200056672,
0.026185333728790283,
-0.02616516686975956,
0.0015458024572581053,
-0.05054495856165886,
0.03914842754602432,
0.026467185467481613,
-0.0541272796690464,
-0.010734808631241322,
0.0013386959908530116,
-0.018465932458639145,
-0.04565039649605751,
0.008300715126097202,
0.012486985884606838,
0.015314766205847263,
-0.06366924941539764,
0.013984032906591892,
-0.09867771714925766,
0.009711083956062794,
0.0274135060608387,
-0.03197655826807022,
-0.13302652537822723,
0.04787347838282585,
-0.025403091683983803,
-0.012281794100999832,
0.02294137328863144,
0.04073874652385712,
-0.0017792999278753996,
-0.06136266887187958,
-0.011949007399380207,
-0.018341928720474243,
-0.029399819672107697,
0.02123457007110119,
0.03166518732905388,
0.004499630071222782,
0.016419071704149246,
-0.03321922570466995,
0.01383017934858799,
0.034743115305900574,
-0.0868668183684349,
-0.02024558186531067,
-0.04755030572414398,
0.008977127261459827,
-0.02197709120810032,
0.008229258470237255,
0.004864166025072336,
-0.09199970960617065,
-0.004467980470508337,
0.004146254621446133,
0.09184890240430832,
-0.0035809623077511787,
-0.00033736717887222767,
0.05557355657219887,
0.041019801050424576,
-0.0011961129494011402,
0.007389679551124573,
0.04407809302210808,
-0.03896842524409294,
-0.027905605733394623,
-0.056745514273643494,
0.042448993772268295,
-0.00671454006806016,
-0.03745783120393753,
0.030863918364048004,
0.020187832415103912,
0.000056115557526936755,
-0.0005558095872402191,
0.010838222689926624,
-0.004461283329874277,
0.03336101397871971,
0.012582946568727493,
-0.002387847751379013,
-0.020646512508392334,
0.005714742466807365,
-0.037763070315122604,
-0.09954871237277985,
-0.03937662020325661,
-0.006125995423644781,
-0.0038758825976401567,
-0.002118737669661641,
0.0010616043582558632,
-0.0944344624876976,
0.017963619902729988,
0.025472259148955345,
-0.04763185977935791,
-0.10686657577753067,
-0.011632192879915237,
-0.0032760712783783674,
0.05167205259203911,
-0.020643146708607674,
0.018820175901055336,
0.060876693576574326,
0.03347470983862877,
-0.004974510055035353,
0.051594555377960205,
-0.015137849375605583,
0.031990960240364075,
0.004619794897735119,
0.05125609040260315,
-0.05633839964866638,
-0.033703625202178955,
-0.025825219228863716,
0.03854385390877724,
0.008751207031309605,
0.017008379101753235,
-0.009926160797476768,
-0.03310571610927582,
-0.02867051586508751,
0.005718609318137169,
0.02914937399327755,
0.00013625760038848966,
-0.003484659129753709,
-0.02184869907796383,
0.06158870831131935,
-0.03858380764722824,
0.06883350759744644,
-0.0303769800812006,
0.020800141617655754,
-0.026902247220277786,
-0.0020125098526477814,
-0.0007066673715598881,
-0.0008774742600508034,
-0.007186110131442547,
-0.009714285843074322,
-0.07895632088184357,
0.028687195852398872,
0.04702099785208702,
0.011061455123126507,
0.03075990080833435,
-0.003544297767803073,
-0.02100091055035591,
0.03337344527244568,
-0.025078078731894493,
-0.0027746025007218122,
0.008832561783492565,
-0.025998901575803757,
-0.06419143825769424,
0.049456290900707245,
0.025061393156647682,
-0.01648681052029133,
-0.00697715301066637,
-0.028438976034522057,
-0.03962840139865875,
0.02977312169969082,
0.01750979572534561,
-0.02288387529551983,
-0.02826169691979885,
0.048673950135707855,
-0.0008426373242400587,
0.03636176511645317,
0.0258127860724926,
-0.10142005234956741,
0.04638531431555748,
0.0074585555121302605,
0.02247362770140171,
-0.04045095294713974,
0.0005667320219799876,
0.07617605477571487,
-0.03405015543103218,
0.03713253512978554,
0.012022576294839382,
-0.04941803216934204,
-0.007327609695494175,
0.017669493332505226,
-0.016179019585251808,
0.06718678027391434,
0.018179312348365784,
-0.025585422292351723,
-0.016447067260742188,
-0.006028798408806324,
0.03610033914446831,
0.06449252367019653,
-0.0488106794655323,
0.028718065470457077,
-0.011791999451816082,
-0.026771647855639458,
0.012706964276731014,
0.031544577330350876,
-0.05356079712510109,
-0.0358736626803875,
0.010876782238483429,
-0.011983467265963554,
-0.0071487571112811565,
-0.009127755649387836,
-0.006526193115860224,
0.014037186279892921,
0.03727913647890091,
-0.047397978603839874,
0.008248076774179935,
0.04974338784813881,
-0.03311646729707718,
0.032495222985744476,
0.018515044823288918,
-0.015093278139829636,
0.030344389379024506,
-0.033509448170661926,
0.1167818009853363,
0.06728716194629669,
-0.02266411855816841,
-0.019986797124147415,
0.011181004345417023,
0.02154836617410183,
-0.019811388105154037,
-0.008944926783442497,
0.01243760995566845,
-0.0014913411578163505,
0.006989533081650734,
0.019180508330464363,
-0.020026402547955513,
0.10685387253761292,
-0.031005501747131348,
0.0013455257285386324,
0.0681617334485054,
-0.058291614055633545,
0.038583848625421524,
0.02742883190512657,
0.014455964788794518,
0.021071968600153923,
-0.0016503804363310337,
-0.056920040398836136,
-0.019698916003108025,
-0.040647655725479126,
-0.007023806218057871,
0.017573142424225807,
-0.009066270664334297,
-0.002655492862686515,
-0.03426964208483696,
-0.03398978337645531,
-0.02976885251700878,
0.06568076461553574,
0.03646063432097435,
0.010938235558569431,
-0.0011861430248245597,
-0.009197109378874302,
-0.048727478832006454,
-0.028218375518918037,
-0.09271829575300217,
-0.06078506261110306,
0.009260539896786213,
0.061180196702480316,
-0.010422585532069206,
0.05768642947077751,
-0.023142069578170776,
0.014689340256154537,
-0.013406586833298206,
-0.0217250045388937,
0.006566994823515415,
0.03552253916859627,
0.01573535054922104,
-0.05863392353057861,
-0.012975426390767097,
0.0010739180725067854,
0.07964495569467545,
0.004925829824060202,
0.00009842759027378634,
-0.024443764239549637,
-0.05796031653881073,
-0.039442162960767746,
-0.06522862613201141,
-0.037504974752664566,
-0.018201302736997604,
-0.00008691247785463929,
0.01726430281996727,
-0.028651978820562363,
-0.011601046659052372,
0.012888595461845398,
0.06587119400501251,
0.0641711875796318,
-0.01115025207400322,
0.008689358830451965,
-0.0246932003647089,
-0.01883114129304886,
0.03914787620306015,
-0.027096733450889587,
0.04477700963616371,
-0.02809632197022438,
0.008983638137578964,
0.03996901214122772,
-0.014409092254936695,
-0.27249404788017273,
-0.01553075946867466,
-0.0021704535465687513,
0.02154897339642048,
0.03877868503332138,
-0.015770962461829185,
0.02525768242776394,
-0.01591363362967968,
-0.02422717958688736,
0.0007041796343401074,
0.006494472268968821,
0.007751510012894869,
0.03549603372812271,
0.04175235703587532,
0.02599693275988102,
-0.0005290783592499793,
0.021164260804653168,
-0.014351666904985905,
0.014849361032247543,
0.05049287900328636,
-0.050738222897052765,
-0.07114175707101822,
0.00489534018561244,
0.061021845787763596,
0.002380202990025282,
0.03633175417780876,
-0.05093607306480408,
-0.0015974839916452765,
-0.05056678131222725,
-0.033007945865392685,
-0.02803044021129608,
-0.00842598918825388,
-0.005698179826140404,
0.043198112398386,
0.004119982942938805,
0.020673522725701332,
0.01080504059791565,
0.03136901557445526,
0.026186885312199593,
0.0066818976774811745,
-0.006631617899984121,
-0.011413847096264362,
0.008810805156826973,
0.028053779155015945,
0.0568946935236454,
0.023874960839748383,
-0.04880143702030182,
-0.00769414659589529,
-0.02040555328130722,
0.03146012872457504,
-0.02825744077563286,
-0.012396350502967834,
0.0052896407432854176,
0.006190423853695393,
-0.005558805540204048,
-0.012472552247345448,
-0.003239827463403344,
-0.01256291102617979,
0.003533297684043646,
0.06576952338218689,
0.00017775665037333965,
-0.06514640152454376,
-0.04178891330957413,
-0.04140179976820946,
-0.030686989426612854,
-0.012669894844293594,
-0.07977631688117981,
-0.09005819261074066,
0.04482264071702957,
0.03841489925980568,
0.025338415056467056,
-0.0017929363530129194,
-0.020684603601694107,
-0.09056441485881805,
0.0313510000705719,
-0.004520299378782511,
-0.015400952659547329,
0.0040291049517691135,
-0.004255393985658884,
0.07462066411972046,
-0.02323201298713684,
-0.05792485550045967,
0.016501635313034058,
0.02718745730817318,
-0.0060571846552193165,
0.003144059795886278,
0.02902412973344326,
-0.01815033331513405,
-0.009445572271943092,
-0.00028710957849398255,
0.029741693288087845,
0.016858117654919624,
0.03131754323840141,
-0.004057442303746939,
0.053828898817300797,
0.0369248203933239,
0.03175553306937218,
0.04100874066352844,
0.03257022053003311,
-0.027278626337647438,
0.004222941119223833,
-0.059382811188697815,
-0.03404036909341812,
-0.032955389469861984,
-0.008915670216083527,
0.020737333223223686,
-0.03833505138754845,
-0.0022288882173597813,
0.027739521116018295,
0.02147948369383812,
-0.024262037128210068,
-0.07102018594741821,
0.009458373300731182,
-0.02547013759613037,
-0.029515262693166733,
0.015795916318893433,
-0.014145980589091778,
0.04664939269423485,
0.02168530598282814,
-0.029550965875387192,
-0.016714513301849365,
0.04086543992161751,
-0.013946443796157837,
0.016121963039040565,
-0.0029045201372355223,
0.011321467347443104,
0.02208680845797062,
0.0030846346635371447,
0.01321569923311472,
-0.03687317296862602,
0.04860778525471687,
0.051918309181928635,
0.007917845621705055,
0.035147249698638916,
0.047416362911462784,
0.022079849615693092,
0.02886863797903061,
-0.024420015513896942,
0.047349050641059875,
-0.010085917077958584,
0.019972436130046844,
0.03179135173559189,
0.04143112897872925,
0.007797337602823973,
0.012204195372760296,
0.024490417912602425,
0.0016703467117622495,
-0.018359720706939697,
-0.0016544186510145664,
-0.02910461276769638,
0.04404464364051819,
-0.050637003034353256,
-0.02141410857439041,
-0.021549278870224953,
-0.000802564260084182,
0.009788800030946732,
0.03945555537939072,
-0.03403237834572792,
0.0007169739692471921,
-0.0569642074406147,
0.0532708577811718,
0.01869858242571354,
-0.01716943085193634,
-0.0167558416724205,
0.010505921207368374,
0.05077549070119858,
-0.0009406730532646179,
-0.039801329374313354,
0.028944075107574463,
0.016956716775894165,
0.03458457067608833,
0.017839299514889717,
-0.027833089232444763,
-0.03442465886473656,
0.0030109116341918707,
-0.007138032466173172,
0.011548184789717197,
0.03402065858244896,
-0.03497033938765526,
0.017702113837003708,
-0.0036589927040040493,
-0.031293224543333054,
0.004072398412972689,
0.02974730357527733,
0.08492812514305115,
0.017756884917616844,
0.021722106263041496,
-0.016167251393198967,
-0.019617481157183647,
0.032179899513721466,
-0.015619060955941677,
0.017002414911985397,
-0.008907346986234188,
-0.05415946617722511,
-0.016776451840996742,
-0.016953550279140472,
0.012370250187814236,
0.012268653139472008,
0.005509776063263416,
-0.009980638511478901,
-0.01680072210729122,
0.008530900813639164,
-0.05954297259449959,
-0.011820463463664055,
0.03702213615179062,
-0.07770045101642609,
-0.033260688185691833,
0.0244574174284935,
-0.0034042038023471832,
0.02619972638785839,
0.006320480722934008,
-0.016515925526618958,
-0.04676900431513786,
-0.011861542239785194,
0.009532758966088295,
0.018246687948703766,
-0.02353665977716446,
-0.03621828928589821,
-0.019742323085665703,
-0.037189751863479614,
0.027051648125052452,
0.007846863940358162,
-0.022735213860869408,
-0.007193098310381174,
0.006420999299734831,
0.04525626823306084,
-0.017606539651751518,
-0.012379322201013565,
-0.01707516796886921,
-0.028779473155736923,
0.030642719939351082,
-0.040877096354961395,
0.0024798151571303606,
0.058715496212244034,
-0.00090163538698107,
-0.029326822608709335,
-0.012257643975317478,
0.034467216581106186,
-0.03267639875411987,
-0.0034030613023787737,
-0.012030181474983692,
0.0020449685398489237,
-0.04519085958600044,
0.008655538782477379,
0.01494026929140091,
0.020016754046082497,
0.03121478483080864,
-0.005196459125727415,
0.003612721338868141,
0.004923624452203512,
0.02628186345100403,
0.046154431998729706,
-0.05983533337712288,
-0.014626242220401764,
0.05586796998977661,
-0.05073796957731247,
0.014543207362294197,
-0.06059898063540459,
0.01072304043918848,
-0.003737493883818388,
-0.024785935878753662,
0.032532453536987305,
-0.012790603563189507,
0.04606875777244568,
0.029157377779483795,
0.041165389120578766,
-0.003793873358517885,
-0.02344406209886074,
0.02807137742638588,
-0.05563422664999962,
-0.041502680629491806,
-0.05025603622198105,
-0.024633143097162247,
0.05105922743678093,
-0.0198826864361763,
0.013574757613241673,
-0.007674784399569035,
-0.022365426644682884,
0.04245312884449959,
-0.008979449048638344,
-0.04524027928709984,
0.029769333079457283,
-0.04103662073612213,
-0.0031021025497466326,
0.021816933527588844,
-0.025892335921525955,
-0.017436521127820015,
-0.009357056580483913,
-0.04540541023015976,
0.003982611000537872,
0.023091455921530724,
0.03493345156311989,
0.018561875447630882,
0.00009792028140509501,
-0.008443562313914299,
0.037968650460243225,
0.010969310998916626,
0.07111408561468124,
0.016431571915745735,
0.001306389458477497,
-0.041169315576553345,
0.07610996812582016,
0.027035608887672424,
-0.0075577134266495705,
-0.006233097054064274,
0.03660564869642258,
0.006740801502019167,
-0.06118827685713768,
0.028934737667441368,
0.009091779589653015,
-0.04745424911379814,
-0.05678865313529968,
0.04837514087557793,
-0.00455225957557559,
-0.03454501926898956,
-0.026264118030667305,
0.024601822718977928,
-0.014370912685990334,
0.0009818092221394181,
-0.00632830522954464,
0.015297999605536461,
0.002067117253318429,
0.04348815232515335,
0.00821131095290184,
0.025564709678292274,
0.04844878241419792,
0.01228469517081976,
-0.007184319198131561,
-0.01103958860039711,
0.07361387461423874,
0.051476720720529556,
0.026306089013814926,
-0.014529328793287277,
0.08672253042459488,
-0.008034142665565014,
-0.04793764278292656,
0.0053228577598929405,
0.02997138351202011,
0.006113067269325256,
-0.03153868019580841,
0.003380890702828765,
0.09988931566476822,
-0.0034650107845664024,
0.08317688852548599,
-0.034544628113508224,
-0.0020242142491042614,
0.02761618047952652,
0.020105641335248947,
-0.02783311903476715,
0.020314348861575127,
0.028540408238768578,
0.023242415860295296,
-0.0013456763699650764,
-0.04282640665769577,
-0.03082461841404438,
-0.0014052799670025706,
0.03763208165764809,
0.018336506560444832,
0.008171884343028069,
0.013558849692344666,
-0.00006474171095760539,
0.05217308551073074,
0.07023366540670395,
-0.05365750193595886,
-0.029820909723639488,
0.002878759289160371,
0.046527501195669174,
-0.004968460649251938,
0.021175913512706757,
0.020241109654307365,
-0.03131326660513878,
0.02619698829948902,
-0.03049045242369175,
0.04644213616847992,
0.028873739764094353,
-0.00453268364071846,
0.018138762563467026,
-0.014653448015451431,
-0.06403633207082748,
-0.0003846764739137143,
0.037130340933799744,
-0.027852345257997513,
-0.04190332815051079,
-0.02392502874135971,
-0.07376229017972946,
-0.05140256509184837,
-0.039268121123313904,
0.040532927960157394,
-0.01474933885037899,
-0.025851726531982422,
0.0076847560703754425,
-0.02917509898543358,
-0.0018322351388633251,
0.03413309156894684,
-0.06728988885879517,
0.02687174454331398,
0.0010954610770568252,
0.02076597511768341,
0.02419590763747692,
0.017338193953037262,
0.025330735370516777,
-0.013123897835612297,
-0.02401728369295597,
0.051223982125520706,
-0.004099301062524319,
0.019768549129366875,
0.00324781471863389,
0.0013065525563433766,
-0.11989331990480423,
0.011456523090600967,
0.0036566550843417645,
-0.04937680810689926,
-0.07830331474542618,
0.05673316866159439,
-0.026447154581546783,
0.04243163391947746,
0.07344300299882889,
-0.0032762361224740744,
-0.01275284681469202,
-0.03899472951889038,
-0.013807698152959347,
-0.005093335639685392,
-0.025874923914670944,
0.08244957774877548,
-0.013692573644220829,
0.07582006603479385,
0.04778428003191948,
-0.005284534767270088,
-0.007081564050167799,
0.0372004508972168,
0.0033056605607271194,
0.011475070379674435,
-0.05361504480242729,
-0.031470783054828644,
-0.03047357313334942,
-0.09488151222467422,
-0.01046095322817564,
0.04925376549363136,
-0.016196491196751595,
-0.05570594593882561,
-0.003417990170419216,
0.01022958941757679,
-0.006283201277256012,
0.015230701304972172,
-0.02859284169971943,
-0.006999736651778221,
-0.030485522001981735,
-0.027810169383883476,
-0.05780560150742531,
0.02706882543861866,
-0.04252545163035393,
0.038316864520311356,
-0.022260280326008797,
-0.02502487599849701,
-0.015796126797795296,
-0.008645124733448029,
0.027226023375988007,
0.012874200008809566,
0.00620868569239974,
0.010402677580714226
] | null |
536 |
Editable Noise Map Inversion: Encoding Target-image into Noise For High-Fidelity Image Manipulation
|
https://openreview.net/forum?id=z63Ot0pcM3
|
[
"Mingyu Kang",
"Yong Suk Choi"
] |
Poster
|
Text-to-image diffusion models have achieved remarkable success in generating high-quality and diverse images. Building on these advancements, diffusion models have also demonstrated exceptional performance in text-guided image editing. A key strategy for effective image editing involves inverting the source image into editable noise maps associated with the target image. However, previous inversion methods face challenges in adhering closely to the target text prompt. The limitation arises because inverted noise maps, while enabling faithful reconstruction of the source image, restrict the flexibility needed for desired edits. To overcome this issue, we propose Editable Noise Map Inversion (ENM Inversion), a novel inversion technique that searches for optimal noise maps to ensure both content preservation and editability. We analyze the properties of noise maps for enhanced editability. Based on this analysis, our method introduces an editable noise refinement that aligns with the desired edits by minimizing the difference between the reconstructed and edited noise maps. Extensive experiments demonstrate that ENM Inversion outperforms existing approaches across a wide range of image editing tasks in both preservation and edit fidelity with target prompts. Our approach can also be easily applied to video editing, enabling temporal consistency and content manipulation across frames.
|
diffusion models, image editing, diffusion inversion
|
We introduce ENM Inversion, a technique that improves text-guided image editing by enhancing noise map editability.
| 13,199 | null |
[
0.0066166650503873825,
-0.0010388868395239115,
-0.026517368853092194,
0.05554381385445595,
0.07069841772317886,
0.05066612362861633,
0.02682678773999214,
0.0015875553945079446,
-0.007748758420348167,
-0.07742974162101746,
-0.008210534229874611,
-0.0018680290086194873,
-0.02199292741715908,
0.0011233676923438907,
0.012887278571724892,
0.038955289870500565,
0.013236855156719685,
-0.04540032520890236,
0.0051218243315815926,
0.04268290475010872,
0.0006308935699053109,
-0.03456074371933937,
0.05691900849342346,
0.0072016906924545765,
0.007695329841226339,
-0.007423208095133305,
0.00023119212710298598,
0.0063028233125805855,
-0.049945782870054245,
-0.00975138321518898,
0.03712933138012886,
0.0022920239716768265,
-0.017268573865294456,
-0.031118150800466537,
0.02658982016146183,
0.014797392301261425,
-0.0632089376449585,
-0.006064875982701778,
0.01020717155188322,
0.013620395213365555,
-0.051380570977926254,
-0.005349571350961924,
-0.007785826455801725,
-0.010117598809301853,
-0.043888747692108154,
-0.021075217053294182,
-0.09745407849550247,
0.04696660488843918,
-0.04117792099714279,
-0.011492355726659298,
-0.06101471185684204,
0.025882558897137642,
-0.007049454376101494,
0.010588526725769043,
0.0011070717591792345,
0.07541412860155106,
0.03200741112232208,
-0.06147119030356407,
0.005060422699898481,
-0.04673217982053757,
0.007151951547712088,
0.007223374210298061,
-0.009898440912365913,
0.01939483918249607,
0.005979703739285469,
-0.010165424086153507,
-0.0025860087480396032,
0.0288016889244318,
-0.013568048365414143,
-0.04823528975248337,
-0.042803794145584106,
0.004683505278080702,
0.01292448304593563,
-0.02571154199540615,
0.04262280836701393,
-0.05158119276165962,
0.0293243620544672,
0.04044048860669136,
0.041476406157016754,
-0.020553331822156906,
0.050796881318092346,
-0.0051139784045517445,
0.0006664909305982292,
0.044756919145584106,
0.004127840045839548,
0.01929662562906742,
-0.017306949943304062,
-0.006785381585359573,
-0.04011355713009834,
0.008852522820234299,
-0.03800766170024872,
-0.07038938254117966,
0.025570426136255264,
0.055112939327955246,
0.05357639491558075,
-0.03057369589805603,
0.016820712015032768,
0.03720698133111,
0.015336514450609684,
0.008884213864803314,
-0.007409171666949987,
-0.01545321848243475,
-0.007900691591203213,
0.01777562126517296,
-0.09813650697469711,
-0.04710133746266365,
-0.042863260954618454,
-0.02310626581311226,
-0.009805995970964432,
0.008184453472495079,
0.0060652089305222034,
0.0018586891237646341,
-0.007631932385265827,
-0.020813671872019768,
-0.08707792311906815,
0.03259206563234329,
0.021096210926771164,
0.03095477819442749,
-0.00828389823436737,
0.00910797156393528,
0.06552960723638535,
0.0775182917714119,
0.005068871192634106,
0.07144065201282501,
0.01734655164182186,
0.031838156282901764,
0.01633664220571518,
0.03602292388677597,
-0.0417197123169899,
-0.009761088527739048,
-0.008354001678526402,
0.036889370530843735,
0.011421029455959797,
-0.006223883479833603,
0.024726707488298416,
-0.03182269632816315,
0.0011888452572748065,
0.0010418454185128212,
0.04497392848134041,
0.002048002788797021,
0.006166229024529457,
-0.018510667607188225,
0.019770335406064987,
-0.022555798292160034,
0.06657154858112335,
-0.013439193367958069,
0.0025028721429407597,
-0.037667229771614075,
-0.031398992985486984,
0.04364468529820442,
0.04032595083117485,
-0.021163146942853928,
0.05116391181945801,
-0.07091682404279709,
0.01712111011147499,
0.05894702672958374,
0.01059131883084774,
0.02920449711382389,
-0.002813600702211261,
-0.009307670406997204,
0.011222487315535545,
0.0031898189336061478,
-0.028469529002904892,
-0.0020197273697704077,
-0.039743006229400635,
-0.031224172562360764,
0.013062826357781887,
0.02891392633318901,
-0.04861817881464958,
-0.04505203291773796,
-0.01284000277519226,
-0.023571014404296875,
0.03507217764854431,
0.029209701344370842,
-0.0009195188176818192,
0.039097484201192856,
0.03477702662348747,
0.03452024608850479,
0.02208143286406994,
0.022297797724604607,
-0.08067777752876282,
-0.0024052017834037542,
0.004644400905817747,
-0.034650370478630066,
0.022838622331619263,
-0.041839394718408585,
0.0858190655708313,
-0.03756718337535858,
0.001856167451478541,
0.018942460417747498,
-0.09465916454792023,
-0.05063781887292862,
0.012403772212564945,
-0.017956625670194626,
0.04199418053030968,
0.035915691405534744,
-0.001448789844289422,
0.04770585894584656,
0.04956308752298355,
0.049994081258773804,
0.04171096906065941,
-0.048645634204149246,
0.07505667209625244,
-0.039574094116687775,
-0.04503127932548523,
-0.024249352514743805,
0.06824833899736404,
-0.04810580983757973,
-0.018659360706806183,
-0.013898367062211037,
-0.017252732068300247,
-0.0026096650399267673,
-0.00025859184097498655,
0.023115092888474464,
0.02379857376217842,
-0.011055504903197289,
-0.03451057896018028,
0.02459893189370632,
-0.004689753986895084,
-0.06057719513773918,
0.029886819422245026,
0.03872103989124298,
-0.009129056707024574,
0.048890963196754456,
0.006292794831097126,
0.10836191475391388,
0.055224403738975525,
-0.028554894030094147,
-0.005584163591265678,
0.02654595859348774,
-0.0042101116850972176,
-0.00466202013194561,
0.000997036462649703,
-0.016404572874307632,
0.030034467577934265,
-0.030109308660030365,
0.024329472333192825,
0.023935142904520035,
0.056948497891426086,
-0.048075854778289795,
-0.02464543655514717,
0.051813509315252304,
-0.020879633724689484,
0.0692785233259201,
0.0052557350136339664,
0.012156900949776173,
0.05819842591881752,
-0.022189196199178696,
-0.025081146508455276,
0.019949479028582573,
0.0011736059095710516,
0.03063654899597168,
-0.003878328250721097,
-0.0760054960846901,
0.02467571571469307,
-0.02794702537357807,
-0.0022769083734601736,
-0.02439025603234768,
0.07262027263641357,
0.0341249480843544,
-0.012903840281069279,
0.04006332904100418,
0.01754274219274521,
-0.0325009748339653,
-0.003151593031361699,
-0.09684624522924423,
-0.02514498680830002,
-0.013034388422966003,
0.012625494971871376,
-0.03136291354894638,
0.04557817801833153,
0.01485456619411707,
-0.007393997628241777,
0.0075637707486748695,
0.003969852346926928,
-0.05497901886701584,
0.04036640003323555,
-0.002108368556946516,
-0.052505284547805786,
-0.014906961470842361,
0.049447908997535706,
0.07042118161916733,
0.013809350319206715,
-0.013377984054386616,
-0.042519230395555496,
-0.0421706885099411,
-0.03350970149040222,
0.004962563514709473,
-0.006078435108065605,
0.03830695524811745,
0.006373106501996517,
0.0045121475122869015,
-0.002225534524768591,
0.04195602238178253,
0.014522627927362919,
0.04050908982753754,
-0.0072228568606078625,
0.004383648745715618,
-0.03744600713253021,
0.02929348684847355,
0.020008275285363197,
0.03472919017076492,
0.011275790631771088,
-0.0010307803750038147,
-0.03713826462626457,
0.00799346063286066,
0.0208382960408926,
-0.01823475770652294,
-0.2649385929107666,
0.01682809554040432,
0.03358849883079529,
-0.009346706792712212,
0.02454707771539688,
-0.026680869981646538,
0.01899837516248226,
-0.042384855449199677,
-0.03574880212545395,
0.0016614794731140137,
0.005991680081933737,
0.03678247705101967,
-0.009168454445898533,
0.03356201574206352,
0.049073826521635056,
-0.009548844769597054,
0.02113213576376438,
-0.024267809465527534,
0.00018399723921902478,
0.030876243487000465,
-0.026347357779741287,
-0.059562742710113525,
0.007772651966661215,
0.01142522506415844,
-0.020360304042696953,
0.0027292657177895308,
-0.056301817297935486,
-0.0022709639742970467,
-0.029191268607974052,
-0.03202541545033455,
-0.0012426545144990087,
-0.05032113566994667,
-0.00537146208807826,
0.07753181457519531,
-0.022795381024479866,
-0.010530412197113037,
0.05137304961681366,
0.03335799649357796,
0.030798865482211113,
0.011549036018550396,
0.03687378391623497,
0.00621386431157589,
-0.027705831453204155,
0.014843206852674484,
0.053073421120643616,
-0.004999331198632717,
-0.013437335379421711,
-0.020933395251631737,
-0.009278830140829086,
0.05953335762023926,
0.03641301393508911,
-0.05302627012133598,
-0.03017573431134224,
0.04006355628371239,
-0.03698679432272911,
-0.026900166645646095,
0.004286052659153938,
0.0172316562384367,
0.009827391244471073,
0.03734160587191582,
-0.003615734400227666,
-0.07821977138519287,
-0.06335718184709549,
-0.017916034907102585,
0.014568416401743889,
-0.025665290653705597,
-0.07953505218029022,
-0.05734183266758919,
0.04328273981809616,
0.04731625318527222,
0.010415032505989075,
-0.015082485042512417,
-0.017712147906422615,
-0.0856076255440712,
0.005184999667108059,
-0.01048010028898716,
-0.02584926038980484,
-0.030990473926067352,
-0.04510895535349846,
0.0340668186545372,
-0.047494806349277496,
-0.010656516067683697,
0.044910889118909836,
0.037410881370306015,
-0.03015713393688202,
-0.0213190745562315,
-0.00032787982490845025,
-0.051788657903671265,
-0.000987450242973864,
-0.040679074823856354,
0.03786532208323479,
0.0057477024383842945,
0.007063775323331356,
-0.012058284133672714,
0.024771228432655334,
0.01877926103770733,
0.05706360563635826,
0.04814567416906357,
0.03391832858324051,
0.002943298313766718,
0.015241680666804314,
-0.06962507963180542,
-0.003506306791678071,
-0.049013134092092514,
-0.01672527939081192,
0.02301620878279209,
-0.040049437433481216,
-0.027987563982605934,
0.04297652095556259,
0.008758848533034325,
-0.03626948595046997,
-0.010323230177164078,
0.003908943850547075,
-0.020631466060876846,
-0.010880807414650917,
-0.027289720252156258,
-0.013309456408023834,
0.025034775957465172,
0.044158726930618286,
-0.04820685833692551,
-0.002381328260526061,
0.045254115015268326,
-0.024707484990358353,
0.02198844403028488,
0.02435278706252575,
0.004812282510101795,
-0.027924709022045135,
0.00877037551254034,
-0.02024027705192566,
-0.020803770050406456,
0.06777083873748779,
0.007643135730177164,
0.01942724920809269,
0.044817790389060974,
0.04927697032690048,
-0.008869622834026814,
-0.014258415438234806,
0.019001426175236702,
0.007909503765404224,
-0.009396972134709358,
0.009222184307873249,
0.005941904615610838,
-0.0036525640171021223,
0.006466388236731291,
0.03084728680551052,
0.015769893303513527,
0.012531941756606102,
-0.00947822630405426,
-0.024835962802171707,
-0.011522362008690834,
-0.006971263326704502,
-0.031494978815317154,
-0.07551456987857819,
-0.024480067193508148,
0.014348429627716541,
-0.015646006911993027,
0.005517345853149891,
-0.03803005442023277,
0.03146900236606598,
-0.07096455991268158,
0.02685672603547573,
0.05179410055279732,
-0.0392715185880661,
0.023615989834070206,
0.0010396649595350027,
0.025352822616696358,
0.013828147202730179,
-0.022213047370314598,
0.026246387511491776,
-0.004959283862262964,
0.019876601174473763,
-0.03928592428565025,
-0.07112156599760056,
-0.05142044275999069,
-0.0004085130349267274,
-0.00415806844830513,
0.0010427185334265232,
-0.006721870973706245,
-0.055756501853466034,
0.057348936796188354,
0.03716764971613884,
-0.003722978290170431,
0.021519089117646217,
-0.01756797544658184,
0.06564860045909882,
-0.022940590977668762,
0.002655207412317395,
-0.03528384491801262,
-0.008378111757338047,
-0.006091275718063116,
-0.03574639931321144,
0.0028044558130204678,
-0.07164128124713898,
-0.03409821167588234,
-0.02699379250407219,
-0.04538428783416748,
0.03090936876833439,
0.009092411026358604,
-0.01912684552371502,
-0.019364871084690094,
0.009640863165259361,
-0.004683836828917265,
-0.02146456576883793,
-0.02250855602324009,
0.02038712613284588,
-0.0684477686882019,
0.02159016765654087,
0.03639092296361923,
-0.06279829144477844,
0.017286088317632675,
-0.018812015652656555,
-0.014627709053456783,
-0.06948988139629364,
-0.004358144011348486,
0.020124061033129692,
-0.011751508340239525,
-0.02988598681986332,
-0.030093565583229065,
-0.012546250596642494,
0.005497160833328962,
0.003368114121258259,
0.02360805682837963,
-0.013033962808549404,
-0.015177726745605469,
0.0035579511895775795,
0.009891480207443237,
-0.025021517649292946,
0.003873712383210659,
0.03072815015912056,
-0.056891944259405136,
0.014272740110754967,
-0.030075011774897575,
0.044507574290037155,
0.0384211465716362,
0.01986316405236721,
-0.0017217216081917286,
-0.06625204533338547,
0.03373069316148758,
-0.02123837359249592,
0.021809689700603485,
0.018100880086421967,
0.01235898770391941,
-0.050168950110673904,
0.05657600611448288,
-0.010517091490328312,
0.061812326312065125,
-0.015117166563868523,
-0.019777605310082436,
0.01529367733746767,
0.04309457167983055,
0.016803564503788948,
-0.0061592296697199345,
-0.03804369270801544,
-0.010516075417399406,
0.05906639248132706,
-0.0712493434548378,
0.014287633821368217,
-0.07125934213399887,
-0.02927670069038868,
0.009425188414752483,
-0.002381114987656474,
0.012082096189260483,
0.00623768474906683,
-0.005002128425985575,
0.033137354999780655,
-0.010339056141674519,
-0.009339681826531887,
-0.022429021075367928,
-0.003369290381669998,
-0.029707595705986023,
0.007485514506697655,
-0.0643186941742897,
-0.002224464900791645,
0.05613161623477936,
-0.0450877770781517,
0.01143250148743391,
0.007372934836894274,
0.009878592565655708,
0.008327808231115341,
-0.023453829810023308,
-0.05731391906738281,
-0.009427261538803577,
-0.014584831893444061,
-0.033115606755018234,
-0.0040884921327233315,
-0.03039473667740822,
0.0008193164248950779,
-0.01689242199063301,
-0.0597781203687191,
0.0027106304187327623,
0.018171148374676704,
0.034028060734272,
-0.0009241088991984725,
-0.019494475796818733,
-0.01836102455854416,
0.0004562928224913776,
-0.003250446170568466,
0.053910788148641586,
0.01013245340436697,
0.029552316293120384,
-0.04095654562115669,
0.030978383496403694,
0.04374290257692337,
0.04521334171295166,
0.05529669672250748,
-0.007324751932173967,
-0.027389300987124443,
-0.0478702150285244,
0.003083761315792799,
-0.008268032222986221,
-0.028661033138632774,
-0.08307614177465439,
0.06733882427215576,
0.05306115001440048,
-0.01941913552582264,
-0.04229351505637169,
0.04906255006790161,
-0.022353073582053185,
0.036441974341869354,
-0.0041245282627642155,
-0.01811951957643032,
-0.006885150447487831,
0.05203529819846153,
0.005115972366183996,
0.02844703197479248,
0.0715719610452652,
0.003054873552173376,
0.020652364939451218,
0.003397441701963544,
0.06058673933148384,
0.07512550055980682,
0.05281408876180649,
-0.011014150455594063,
0.06815990805625916,
-0.02799728885293007,
-0.028185103088617325,
0.020416373386979103,
0.03892026096582413,
-0.03446083143353462,
-0.04990134760737419,
0.008579159155488014,
0.11906018853187561,
0.007834880612790585,
0.04323801398277283,
-0.01866191439330578,
-0.047227803617715836,
0.022784532979130745,
-0.0020037502981722355,
-0.010031663812696934,
0.003804500214755535,
0.026273516938090324,
0.004729422740638256,
-0.019198019057512283,
0.006313828285783529,
0.00800944585353136,
-0.025275545194745064,
0.03814009204506874,
0.01832210272550583,
-0.029113464057445526,
0.04938409850001335,
-0.004571020603179932,
0.03852812200784683,
0.08712605386972427,
-0.039976246654987335,
-0.03695802390575409,
0.012638766318559647,
0.017393531277775764,
0.027863353490829468,
0.056685805320739746,
0.014846554026007652,
0.00024836548254825175,
-0.00005209582013776526,
-0.044977087527513504,
-0.007878676056861877,
0.04516623169183731,
-0.011375756934285164,
-0.008998828940093517,
-0.032021086663007736,
-0.012792665511369705,
0.017222877591848373,
0.01670686900615692,
-0.04125524312257767,
-0.03433443233370781,
-0.06401610374450684,
-0.049984220415353775,
-0.05120842158794403,
-0.035183582454919815,
0.050736695528030396,
-0.021067442372441292,
-0.06047813966870308,
0.00536029739305377,
-0.040630701929330826,
0.0266716331243515,
0.028730319812893867,
-0.0653795674443245,
-0.003383408999070525,
0.04660516977310181,
-0.01375411543995142,
-0.045593224465847015,
0.02613145112991333,
0.042563993483781815,
-0.011853767558932304,
-0.023220309987664223,
0.04083769768476486,
0.013539798557758331,
0.032350555062294006,
-0.039618007838726044,
-0.021270323544740677,
-0.09302493184804916,
0.0029403064399957657,
0.061329372227191925,
-0.005370890721678734,
-0.09295685589313507,
0.03400621935725212,
-0.014485035091638565,
0.007441335823386908,
0.06127810478210449,
0.007390622049570084,
0.013537640683352947,
-0.017148112878203392,
-0.002362737199291587,
-0.028270596638321877,
-0.01407825667411089,
0.057193823158741,
-0.018382743000984192,
0.07983167469501495,
0.037845589220523834,
0.00023392394359689206,
-0.016413625329732895,
0.027330806478857994,
-0.05007850378751755,
0.03349408134818077,
-0.06433610618114471,
-0.0024831213522702456,
-0.05370916426181793,
-0.09988352656364441,
-0.019785866141319275,
0.03429238498210907,
-0.03394460305571556,
-0.020617136731743813,
0.012899292632937431,
0.020008880645036697,
0.005120845977216959,
-0.02598077990114689,
-0.010264279320836067,
-0.003698962740600109,
-0.03466058149933815,
-0.03149298578500748,
-0.05876137316226959,
0.00673714792355895,
-0.01891964115202427,
0.0038996408693492413,
0.01817101426422596,
-0.04584125429391861,
0.018894072622060776,
-0.0019406555220484734,
0.03409267216920853,
0.011623025871813297,
0.0532417893409729,
0.0164985042065382
] | null |
537 |
The Diffusion Duality
|
https://openreview.net/forum?id=9P9Y8FOSOk
|
[
"Subham Sekhar Sahoo",
"Justin Deschenaux",
"Aaron Gokaslan",
"Guanghan Wang",
"Justin T Chiu",
"Volodymyr Kuleshov"
] |
Poster
|
Uniform-state discrete diffusion models hold the promise of fast text generation due to their inherent ability to self-correct. However, they are typically outperformed by autoregressive models and masked diffusion models. In this work, we narrow this performance gap by leveraging a key insight: Uniform-state diffusion processes naturally emerge from an underlying Gaussian diffusion. Our method, Duo, transfers powerful techniques from Gaussian diffusion to improve both training and sampling. First, we introduce a curriculum learning strategy guided by the Gaussian process, **doubling training speed** by reducing variance. Models trained with curriculum learning surpass autoregressive models in zero-shot perplexity on 3 of 7 benchmarks.
Second, we present Discrete Consistency Distillation, which adapts consistency distillation from the continuous to the discrete setting. This algorithm **unlocks few-step generation in diffusion language models** by accelerating sampling by two orders of magnitude. We provide the code and model checkpoints on the project page: http://s-sahoo.github.io/duo
|
diffusion language models, diffusion models, large language models, distillation
|
We prove that discrete diffusion processes admit an underlying Gaussian diffusion formulation which enables the design of faster training and sampling algorithms.
| 13,196 |
2506.10892
|
[
0.0063857706263661385,
-0.010457574389874935,
-0.027646780014038086,
0.08225034922361374,
0.04584769159555435,
0.026393260806798935,
0.02903219498693943,
0.01493624597787857,
-0.0018489054637029767,
-0.028144678100943565,
0.011091498658061028,
0.007241478655487299,
-0.042194075882434845,
-0.006484478712081909,
0.021750543266534805,
0.040293529629707336,
0.022451428696513176,
0.003934505861252546,
-0.015160969458520412,
0.028986137360334396,
-0.018074914813041687,
0.0018777960212901235,
0.027078848332166672,
0.015324544161558151,
0.02301296964287758,
0.004417517688125372,
0.05268283933401108,
-0.007983343675732613,
-0.024044271558523178,
0.008474613539874554,
0.04666575789451599,
0.015042735263705254,
0.007942214608192444,
0.008767860941588879,
0.004348272457718849,
-0.01937987096607685,
-0.046662185341119766,
-0.0016118857311084867,
0.022593488916754723,
0.009902332909405231,
-0.03685418516397476,
0.0023307246156036854,
-0.01637653261423111,
-0.0079668452963233,
-0.058527037501335144,
-0.022818729281425476,
-0.11546777933835983,
0.019949505105614662,
0.01437840610742569,
-0.0495045967400074,
-0.11879310011863708,
0.036245960742235184,
0.010613994672894478,
-0.013576526194810867,
-0.03125854954123497,
0.03780713677406311,
0.040704306215047836,
-0.06822796911001205,
0.008295361883938313,
-0.036519814282655716,
-0.02661401964724064,
0.005201950203627348,
-0.01598750613629818,
0.001550006214529276,
-0.030667560175061226,
-0.017343951389193535,
-0.02287372015416622,
0.04491454362869263,
-0.05510493367910385,
-0.059382613748311996,
-0.03158826380968094,
0.02087462693452835,
-0.0017842516535893083,
0.00010828243102878332,
-0.0008641731110401452,
-0.03168851509690285,
0.017108144238591194,
0.04604826495051384,
0.05266872048377991,
-0.017766961827874184,
-0.009945199824869633,
0.01435715053230524,
0.026262184605002403,
0.05535502731800079,
-0.016424385830760002,
-0.016588805243372917,
-0.02130172587931156,
-0.021191906183958054,
-0.07391830533742905,
0.032744087278842926,
-0.051148414611816406,
-0.06745675206184387,
0.0158332921564579,
0.009621692821383476,
0.023691920563578606,
-0.0039361282251775265,
0.040176164358854294,
0.03389936313033104,
0.011162297800183296,
0.002807061420753598,
-0.04414118826389313,
-0.022789383307099342,
0.02613321878015995,
0.01880156621336937,
-0.10253817588090897,
0.0036292781587690115,
-0.032747626304626465,
0.012279193848371506,
0.014561786316335201,
-0.004708283115178347,
-0.005316770635545254,
-0.011960433796048164,
0.01303631067276001,
-0.0031564179807901382,
-0.08329010754823685,
0.028672877699136734,
-0.0032046737615019083,
0.010465567000210285,
0.016788510605692863,
-0.022679287940263748,
0.028056209906935692,
0.04202176630496979,
0.0021226725075393915,
0.07952568680047989,
-0.017417890951037407,
0.032183676958084106,
0.0332685224711895,
0.008586275391280651,
-0.0375247597694397,
-0.018010931089520454,
-0.017124151811003685,
0.042609307914972305,
0.014157972298562527,
0.012680565938353539,
0.02888079546391964,
-0.018501413986086845,
-0.007067780010402203,
0.043494727462530136,
0.05874943733215332,
-0.02903786115348339,
0.01922704093158245,
0.007495683617889881,
0.04573052376508713,
-0.01867602951824665,
0.04723670706152916,
-0.021127520129084587,
-0.004063086584210396,
-0.03861389309167862,
-0.04611381143331528,
-0.011742566712200642,
0.027568211778998375,
-0.0026533203199505806,
0.02664247155189514,
-0.04574567452073097,
0.0041596414521336555,
0.052688758820295334,
-0.01625705324113369,
0.03610168397426605,
-0.009962515905499458,
-0.0033778436481952667,
0.006577853579074144,
0.0021636025048792362,
-0.025088202208280563,
-0.0016134836478158832,
0.002719637705013156,
-0.07916125655174255,
0.04411832615733147,
0.02410275489091873,
-0.05166776478290558,
-0.029718786478042603,
-0.03528740257024765,
-0.011418627575039864,
0.057994961738586426,
-0.013189634308218956,
-0.005729297641664743,
-0.017548292875289917,
0.027968771755695343,
0.023256497457623482,
0.04532486945390701,
0.027161208912730217,
-0.08636095374822617,
0.024341726675629616,
0.022160571068525314,
-0.013613484799861908,
0.0019339683931320906,
-0.032684870064258575,
0.07371474802494049,
-0.015095928683876991,
0.01849563606083393,
0.04141901060938835,
-0.070428267121315,
-0.0034021493047475815,
0.036033377051353455,
-0.012722047977149487,
0.04668361321091652,
0.013928686268627644,
0.0101061025634408,
0.033789463341236115,
0.07184610515832901,
0.04314775392413139,
0.06159829720854759,
-0.021563949063420296,
0.04540964588522911,
0.010662351734936237,
-0.0035962089896202087,
0.000662070291582495,
0.041937205940485,
-0.05358981341123581,
-0.05474584177136421,
0.0008217570721171796,
-0.020371995866298676,
-0.023226987570524216,
0.031454987823963165,
0.007255734410136938,
0.01776697486639023,
0.017635861411690712,
0.000611300696618855,
-0.0030753957107663155,
0.02327914722263813,
-0.027352988719940186,
0.051227033138275146,
0.01152654830366373,
-0.03462348133325577,
0.005031508393585682,
-0.004017392639070749,
0.09510669857263565,
0.07691784203052521,
-0.020858924835920334,
0.006917363964021206,
0.0251748189330101,
0.021916115656495094,
-0.012084417976439,
0.017135685309767723,
-0.044089701026678085,
0.040313705801963806,
-0.005407948512583971,
0.006290947087109089,
-0.02629961259663105,
0.059374842792749405,
-0.04166338965296745,
0.006892065051943064,
0.05083068087697029,
-0.024068791419267654,
0.07477394491434097,
-0.014496752060949802,
0.02144664153456688,
0.016979938372969627,
-0.03320726379752159,
-0.0132157476618886,
-0.057869281619787216,
-0.030428731814026833,
-0.0018598275491967797,
0.017157316207885742,
-0.026819884777069092,
0.01733793132007122,
-0.03618256747722626,
-0.024605128914117813,
0.004545706324279308,
0.06109617277979851,
0.031721893697977066,
-0.008544109761714935,
0.02040094882249832,
0.005334573797881603,
-0.029951486736536026,
-0.00037848285865038633,
-0.10729098320007324,
-0.02883177250623703,
-0.010035012848675251,
0.02510535903275013,
0.006582645699381828,
0.05073842033743858,
-0.0051243421621620655,
0.023553084582090378,
-0.03872831538319588,
0.00226613855920732,
-0.027557147666811943,
0.035787638276815414,
0.004718628711998463,
-0.04228653386235237,
-0.03935948759317398,
-0.03289974480867386,
0.06613625586032867,
-0.04669119417667389,
-0.014527765102684498,
-0.03098493441939354,
-0.04985490068793297,
0.01673228293657303,
-0.02275383286178112,
-0.0034231420140713453,
0.04695768281817436,
0.027618862688541412,
0.007874058559536934,
0.010690971277654171,
-0.006583427079021931,
0.04809175059199333,
0.049548301845788956,
0.02950415201485157,
-0.006357864011079073,
-0.015388509258627892,
0.02306089550256729,
0.014217858202755451,
-0.011863184161484241,
-0.014910048805177212,
0.053382180631160736,
-0.011424321681261063,
-0.01715388335287571,
0.03951726108789444,
-0.0026938465889543295,
-0.3002377450466156,
0.018368497490882874,
0.0004091082082595676,
-0.0297990869730711,
0.026934081688523293,
-0.013397297821938992,
0.05220392718911171,
-0.039928264915943146,
-0.02081902138888836,
0.026880847290158272,
-0.0356491357088089,
0.030123887583613396,
-0.007569814100861549,
0.05313379317522049,
0.047213830053806305,
0.020084919407963753,
-0.0076796445064246655,
-0.0371844619512558,
0.011679195798933506,
0.06633426994085312,
-0.00011678745067911223,
-0.05570992827415466,
-0.0030815463978797197,
0.03577742725610733,
-0.004960799589753151,
0.03721512481570244,
-0.07303043454885483,
-0.015607603825628757,
-0.013815237209200859,
0.017116310074925423,
-0.01317097619175911,
-0.03909134119749069,
0.014792380854487419,
0.07189182192087173,
-0.00552472285926342,
-0.005207286216318607,
0.04022220894694328,
0.037791766226291656,
0.017590072005987167,
0.01631382293999195,
0.031797342002391815,
-0.014845175668597221,
-0.02179904095828533,
0.0032070341985672712,
0.05340256914496422,
0.0209950003772974,
-0.04453899711370468,
-0.019495228305459023,
-0.017671527341008186,
0.03369105979800224,
-0.009247168898582458,
-0.021128909662365913,
-0.006212786305695772,
0.0006086406647227705,
0.026337506249547005,
-0.0032017871271818876,
-0.002027451526373625,
-0.02347441017627716,
0.014581173658370972,
-0.008884747512638569,
0.026302631944417953,
-0.030988279730081558,
-0.010030314326286316,
-0.04042354226112366,
-0.00045788270654156804,
-0.05178145319223404,
-0.08157952129840851,
-0.03609677031636238,
0.04393167793750763,
0.04402696713805199,
-0.05513685569167137,
-0.006476050708442926,
-0.005277988035231829,
-0.08731498569250107,
-0.006044025532901287,
0.0012648559641093016,
0.0008614030666649342,
-0.027709558606147766,
-0.011247308924794197,
0.01426877174526453,
-0.04846750572323799,
-0.022706910967826843,
0.0025777416303753853,
0.023522961884737015,
0.04468008875846863,
-0.03085954859852791,
0.027287157252430916,
-0.03405977413058281,
-0.024980511516332626,
-0.06285583227872849,
0.04212226718664169,
0.008804340846836567,
0.012060508131980896,
0.01627194508910179,
0.06555323302745819,
0.038463108241558075,
0.020093567669391632,
0.06657829880714417,
0.03963642567396164,
-0.01634649746119976,
0.03424280881881714,
-0.06773515045642853,
-0.04383191838860512,
-0.05484100803732872,
-0.02964988723397255,
0.04168649762868881,
-0.07826308906078339,
-0.027365608140826225,
0.03781149908900261,
0.002690090797841549,
-0.05901141092181206,
-0.015113068744540215,
-0.01195647194981575,
0.00006852894875919446,
-0.011800900101661682,
-0.0031415740959346294,
-0.013816457241773605,
0.04951462894678116,
0.02529810555279255,
-0.009867214597761631,
-0.010498899035155773,
0.05687166377902031,
-0.04103827849030495,
0.010871217586100101,
-0.011896170675754547,
-0.007620038464665413,
-0.0015588626265525818,
-0.027441203594207764,
0.00938145350664854,
-0.018099861219525337,
0.04226451367139816,
0.009802655316889286,
-0.008594418875873089,
-0.010917489416897297,
0.06073370575904846,
0.01588062196969986,
-0.011455257423222065,
-0.038691744208335876,
0.023957015946507454,
-0.0067911590449512005,
0.030210254713892937,
-0.0005765793030150235,
0.05579978600144386,
-0.0030116240959614515,
0.05006149783730507,
-0.006720579229295254,
-0.00014480986283160746,
0.020864246413111687,
-0.02433936297893524,
-0.05113561078906059,
0.04918079078197479,
-0.038112808018922806,
-0.0203356072306633,
-0.02248147502541542,
0.002513666171580553,
-0.0279568862169981,
0.022222422063350677,
-0.015679512172937393,
0.013049647212028503,
-0.05292901024222374,
0.0646812692284584,
0.0015834696823731065,
-0.03335154801607132,
0.00955143291503191,
0.011869856156408787,
0.03356897458434105,
-0.04900422319769859,
0.014883147552609444,
0.012442500330507755,
0.003230967093259096,
0.04186210781335831,
-0.016166165471076965,
-0.05237480252981186,
0.003521790262311697,
0.0015709307044744492,
0.031110340729355812,
-0.0015581946354359388,
-0.020247507840394974,
-0.034004002809524536,
0.022736135870218277,
0.028864800930023193,
-0.039849646389484406,
0.014390853233635426,
0.0169344674795866,
0.08326969295740128,
0.019771387800574303,
0.009403892792761326,
0.006109353620558977,
-0.05206351727247238,
0.03566571697592735,
-0.03493975102901459,
0.01524965651333332,
-0.03325756639242172,
-0.05499393865466118,
-0.04154989495873451,
-0.03313087299466133,
-0.0253467857837677,
0.037720609456300735,
-0.01144392229616642,
0.013909776695072651,
-0.033397920429706573,
-0.004509688820689917,
-0.0533728264272213,
0.005636192858219147,
0.026051899418234825,
-0.06136387586593628,
0.013259909115731716,
0.00030965651967562735,
-0.02672557160258293,
0.014116836711764336,
0.0031376583501696587,
-0.038505326956510544,
-0.08473082631826401,
-0.03707550838589668,
0.001391514204442501,
-0.015568812377750874,
-0.02694716863334179,
-0.04638645052909851,
0.016252176836133003,
0.0010358622530475259,
0.024407358840107918,
0.0025749830529093742,
0.004766758996993303,
-0.02042953297495842,
0.0012241372605785728,
0.05534513294696808,
-0.05657701939344406,
-0.022033629938960075,
0.0024421776179224253,
-0.023723451420664787,
0.02284606732428074,
-0.04482720047235489,
0.0182024072855711,
0.04603851959109306,
-0.01140445377677679,
-0.020969945937395096,
-0.04414413496851921,
0.029523972421884537,
-0.010610800236463547,
-0.0028083808720111847,
0.013501882553100586,
-0.004120849072933197,
-0.03298543393611908,
0.003822978353127837,
-0.006091159302741289,
0.053120650351047516,
0.02039782516658306,
0.015445760451257229,
0.0016536567127332091,
0.03431004658341408,
0.03629518300294876,
0.032935526221990585,
-0.0534638948738575,
0.014658292755484581,
0.05697892978787422,
-0.016193008050322533,
-0.0426025316119194,
-0.07195547223091125,
-0.03716076537966728,
0.022885270416736603,
-0.000936773547437042,
0.017533734440803528,
-0.05918209254741669,
0.015006371773779392,
0.04038941115140915,
0.013889784924685955,
0.018522383645176888,
0.002125395927578211,
0.0340820848941803,
-0.03915880620479584,
-0.003960228990763426,
-0.08083096146583557,
-0.04279474541544914,
0.07164246588945389,
-0.00795208103954792,
0.018710872158408165,
-0.009636646136641502,
-0.014583229087293148,
0.03320449963212013,
-0.023872200399637222,
-0.05480680614709854,
0.010214290581643581,
-0.029523877426981926,
-0.006221315357834101,
0.02542220428586006,
-0.05519857257604599,
-0.01379158440977335,
-0.030410028994083405,
-0.07019077241420746,
0.0067981150932610035,
0.03398974984884262,
0.03927521035075188,
-0.00726934103295207,
0.012459670193493366,
-0.0023260354064404964,
0.00400206446647644,
0.028118019923567772,
0.05600913241505623,
0.020513100549578667,
0.053527381271123886,
0.0019102179212495685,
0.06502489000558853,
0.015082408674061298,
0.03588767722249031,
0.011510787531733513,
0.020110754296183586,
-0.010093312710523605,
-0.07850673049688339,
0.05117892846465111,
0.0017039866652339697,
0.010695516131818295,
-0.06829475611448288,
0.06523793190717697,
0.022918544709682465,
-0.055804647505283356,
-0.07973066717386246,
0.033768486231565475,
-0.04578319191932678,
0.02034083567559719,
-0.011308838613331318,
0.01844901405274868,
0.0031074360013008118,
0.06901713460683823,
-0.0045228092931210995,
0.035239510238170624,
0.06630727648735046,
0.00006022440720698796,
-0.005830319598317146,
-0.0022443849593400955,
0.03881312906742096,
0.06173097714781761,
0.05734788998961449,
-0.013938840478658676,
0.05286343768239021,
-0.03706645965576172,
-0.041145361959934235,
0.006247696932405233,
0.044356826692819595,
-0.02350590191781521,
-0.05631805956363678,
0.024415630847215652,
0.0850929245352745,
-0.003632256528362632,
0.06117986887693405,
-0.03931321203708649,
-0.019907314330339432,
0.009678080677986145,
0.025330791249871254,
-0.0015393123030662537,
0.008621958084404469,
0.03177909553050995,
-0.0036705259699374437,
-0.02058635838329792,
-0.01871197670698166,
0.010757235810160637,
-0.06265204399824142,
0.01584172621369362,
-0.009818456135690212,
-0.020132936537265778,
0.007556602358818054,
0.011702043004333973,
0.037789709866046906,
0.11216481029987335,
-0.04219398647546768,
-0.032671742141246796,
0.0008721050107851624,
0.020395400002598763,
0.021061351522803307,
0.029017988592386246,
0.019461022689938545,
-0.018621083348989487,
-0.011826732195913792,
-0.046811819076538086,
-0.005742070730775595,
0.004920440725982189,
-0.005509268492460251,
0.0046770004555583,
-0.0210052989423275,
0.01506168581545353,
0.015941394492983818,
0.03788652643561363,
-0.047020792961120605,
-0.07351251691579819,
-0.021878976374864578,
-0.01394022349268198,
-0.0589558444917202,
-0.021362120285630226,
0.035557638853788376,
-0.004255885723978281,
-0.023207221180200577,
0.007460223976522684,
-0.0512261800467968,
0.014840912073850632,
0.019275929778814316,
-0.0681980699300766,
0.0008052353514358401,
0.03393426164984703,
0.0002682204940356314,
-0.024053139612078667,
0.006388955749571323,
0.019758697599172592,
-0.029252737760543823,
-0.01862250827252865,
0.02093825303018093,
-0.0035547257866710424,
0.02753557078540325,
-0.013043049722909927,
0.007544761523604393,
-0.0989832654595375,
0.022311357781291008,
0.03135671466588974,
-0.02484212815761566,
-0.08700316399335861,
0.046786703169345856,
-0.023212652653455734,
0.023525051772594452,
0.0711418017745018,
0.01923045702278614,
0.004234699532389641,
-0.031009506434202194,
0.010694633238017559,
0.00516165979206562,
0.010600114241242409,
0.03417188674211502,
-0.036043308675289154,
0.0862804502248764,
0.04614117741584778,
-0.003513674484565854,
-0.04970286786556244,
0.024009985849261284,
0.00036947891931049526,
-0.007980098016560078,
-0.0024653214495629072,
-0.0153620271012187,
-0.026659348979592323,
-0.10513877123594284,
-0.029866375029087067,
0.02956395223736763,
-0.03722069039940834,
-0.023630300536751747,
0.028011353686451912,
-0.027650604024529457,
-0.0163126140832901,
0.008023403584957123,
-0.03416988626122475,
-0.03334195166826248,
-0.018126191571354866,
-0.01321707759052515,
-0.047838471829891205,
-0.01221535075455904,
-0.03478527069091797,
0.020223349332809448,
-0.039057500660419464,
-0.007147164549678564,
0.0037189049180597067,
0.0017051289323717356,
0.05045134946703911,
-0.017940368503332138,
0.00888085924088955,
-0.0012732846662402153
] |
https://github.com/s-sahoo/duo
|
538 |
Active Learning of Deep Neural Networks via Gradient-Free Cutting Planes
|
https://openreview.net/forum?id=vZhdXRnfPU
|
[
"Erica Zhang",
"Fangzhao Zhang",
"Mert Pilanci"
] |
Poster
|
Active learning methods aim to improve sample complexity in machine learning. In this work, we investigate an active learning scheme via a novel gradient-free cutting-plane training method for ReLU networks of arbitrary depth and develop a convergence theory.
We demonstrate, for the first time, that cutting-plane algorithms, traditionally used in linear models, can be extended to deep neural networks despite their nonconvexity and nonlinear decision boundaries. Moreover, this training method induces the first deep active learning scheme known to achieve convergence guarantees, revealing a geometric contraction rate of the feasible set. We exemplify the effectiveness of our proposed active learning method against popular deep active learning baselines via both synthetic data experiments and sentimental classification task on real datasets.
|
convex optimization, cutting plane method, active learning
| null | 13,191 |
2410.02145
|
[
-0.007203653454780579,
-0.02704361453652382,
-0.008912837132811546,
0.021754777058959007,
0.02786029689013958,
0.05012264847755432,
-0.0029420640785247087,
-0.009299934841692448,
-0.001974275801330805,
-0.04672966152429581,
-0.02023465745151043,
0.015307985246181488,
-0.07603242248296738,
0.0213494710624218,
0.006853329483419657,
0.05534398555755615,
0.04021066799759865,
-0.004463736899197102,
0.012560520321130753,
0.04291840270161629,
-0.0028284951113164425,
-0.05426995828747749,
0.056063950061798096,
0.01581607013940811,
0.016040893271565437,
-0.047747112810611725,
0.03139006346464157,
0.017047809436917305,
0.00545621057972312,
0.0010520482901483774,
0.028897227719426155,
-0.004419242963194847,
0.03484158217906952,
-0.0267855916172266,
0.035849429666996,
0.04712310805916786,
-0.028936157003045082,
-0.02089029550552368,
0.0030411735642701387,
0.02204524353146553,
-0.04164353013038635,
0.004658067133277655,
-0.00900923553854227,
0.010596919804811478,
-0.06382595002651215,
0.0186126921325922,
-0.10512768477201462,
0.011350863613188267,
0.009076190181076527,
-0.034321099519729614,
-0.1062694564461708,
0.04951649159193039,
0.020849153399467468,
-0.01978405937552452,
-0.019015688449144363,
0.047290243208408356,
0.008226368576288223,
-0.045096125453710556,
-0.0041380468755960464,
-0.05167652666568756,
-0.018729282543063164,
0.026667525991797447,
0.03000408597290516,
-0.021569468080997467,
0.002096290234476328,
-0.011086229234933853,
0.033371735364198685,
0.0424860343337059,
-0.034583717584609985,
-0.02966666966676712,
-0.015788216143846512,
-0.004749240819364786,
-0.012842200696468353,
0.02787996456027031,
-0.011192877776920795,
-0.06551492214202881,
0.0045388247817754745,
0.015301029197871685,
0.08347073197364807,
-0.0007791459211148322,
0.011602192185819149,
0.03988226503133774,
0.012814262881875038,
0.036610763520002365,
-0.008831839077174664,
0.0014342196518555284,
-0.04267294332385063,
-0.04507787525653839,
-0.07549701631069183,
0.032434623688459396,
-0.05267990007996559,
-0.039210245013237,
0.027249906212091446,
0.038383420556783676,
0.013479811139404774,
-0.0019060532795265317,
0.02941962517797947,
0.01016309205442667,
0.044040121138095856,
-0.010773629881441593,
-0.0015286656562238932,
-0.05262304097414017,
0.037298474460840225,
-0.00035348915844224393,
-0.07327274233102798,
-0.025795873254537582,
0.007001923862844706,
-0.01438002847135067,
-0.0002876351645682007,
-0.004135597962886095,
-0.05414361134171486,
-0.005460553802549839,
0.01934884488582611,
-0.03387972339987755,
-0.10912986844778061,
0.018795475363731384,
-0.018695944920182228,
0.031355228275060654,
-0.009002351202070713,
0.0043312301859259605,
0.018484370782971382,
0.05013629421591759,
0.022901194170117378,
0.07227889448404312,
-0.014067646116018295,
0.027958180755376816,
0.0015724016120657325,
0.04184094816446304,
-0.010199998505413532,
-0.055297911167144775,
0.02471618913114071,
0.019760945811867714,
0.021120691671967506,
0.014384367503225803,
0.005446369294077158,
-0.015960758551955223,
0.005815399345010519,
0.01605396345257759,
0.025889316573739052,
0.004157172050327063,
0.007351339794695377,
-0.02650506980717182,
0.07756782323122025,
-0.020270781591534615,
0.07295982539653778,
-0.03816751018166542,
0.03466912358999252,
-0.02711435593664646,
-0.05403074994683266,
-0.018990378826856613,
-0.0022400699090212584,
0.007079150062054396,
-0.020933421328663826,
-0.06188890337944031,
0.023753777146339417,
0.053397443145513535,
0.019308660179376602,
0.05059110373258591,
0.00997830554842949,
0.0175874512642622,
0.05245209485292435,
0.0005833214963786304,
-0.042043182998895645,
-0.00009104618948185816,
-0.0016185196582227945,
-0.07328880578279495,
0.05369219928979874,
0.06256069988012314,
-0.041544944047927856,
0.03920891508460045,
-0.02292092703282833,
-0.018031099811196327,
0.06301148980855942,
-0.010583465918898582,
-0.02041666768491268,
0.018308676779270172,
0.04113757610321045,
-0.02989339269697666,
0.041937991976737976,
0.02074965462088585,
-0.10393864661455154,
0.03996380791068077,
0.0190998874604702,
-0.006714672781527042,
-0.012891645543277264,
-0.041540276259183884,
0.08645431697368622,
-0.03315584361553192,
0.04620938375592232,
0.006504482124000788,
-0.0530451238155365,
-0.016036875545978546,
0.00658366410061717,
-0.026984844356775284,
0.06911178678274155,
0.023121550679206848,
-0.0030345115810632706,
0.0076322234235703945,
0.024190356954932213,
0.06918895244598389,
0.05868310481309891,
-0.03853666037321091,
0.03565315157175064,
-0.0015223578084260225,
-0.013274832628667355,
-0.00026940711541101336,
0.0263863205909729,
-0.08089163899421692,
-0.00003451031443546526,
0.030836010351777077,
0.003036190988495946,
-0.030909709632396698,
0.028549982234835625,
0.014702381566166878,
0.044053155928850174,
-0.01289392076432705,
-0.017035633325576782,
-0.0065812645480036736,
0.028063831850886345,
-0.0657237097620964,
0.03843780606985092,
0.03138025850057602,
-0.037943895906209946,
-0.014165662229061127,
-0.0058232382871210575,
0.09522326290607452,
0.07541445642709732,
-0.029152851551771164,
-0.009703491814434528,
-0.011441553942859173,
0.003551703877747059,
0.023434527218341827,
0.005515344440937042,
0.0004777431022375822,
0.024052850902080536,
-0.003952781204134226,
0.006510770879685879,
-0.029526321217417717,
0.06608278304338455,
-0.04122675582766533,
-0.014472458511590958,
0.040809266269207,
0.02197880484163761,
0.04889320954680443,
0.009635231457650661,
-0.004253705497831106,
0.058537133038043976,
0.011107738129794598,
0.004423084668815136,
-0.03584735840559006,
-0.03324674442410469,
-0.005646297242492437,
-0.00687458086758852,
-0.037339430302381516,
0.0004706592590082437,
-0.07692811638116837,
-0.0442974716424942,
-0.0361957810819149,
0.071870818734169,
0.05322403833270073,
0.01601632498204708,
0.0008429859881289303,
-0.00488269841298461,
-0.028219962492585182,
-0.02264307625591755,
-0.14290478825569153,
-0.051831141114234924,
0.004713649861514568,
0.08656839281320572,
0.015573674812912941,
0.05698861926794052,
0.012653596699237823,
0.038549646735191345,
-0.015700282528996468,
-0.044077396392822266,
0.028299761936068535,
0.02779417671263218,
0.047334183007478714,
-0.05619392544031143,
-0.024819523096084595,
0.013202892616391182,
0.07497110217809677,
0.0010738200508058071,
-0.043348528444767,
-0.030330050736665726,
-0.05768712982535362,
-0.010022912174463272,
-0.04687612131237984,
0.003993369173258543,
0.0006060030427761376,
-0.004453507252037525,
0.036178722977638245,
-0.04566512256860733,
0.031053652986884117,
0.044786714017391205,
0.054355472326278687,
0.034053508192300797,
0.0049764844588935375,
-0.03305741772055626,
-0.021334746852517128,
0.004417810123413801,
0.017380788922309875,
-0.023776782676577568,
-0.0013248496688902378,
-0.0037261403631418943,
0.008198455907404423,
0.05408060550689697,
-0.00030908433836884797,
-0.267218679189682,
-0.034468501806259155,
-0.009634568355977535,
-0.011636233888566494,
0.048158105462789536,
0.01233756821602583,
0.011837498284876347,
-0.02960800752043724,
-0.028537143021821976,
-0.026694469153881073,
-0.007421079091727734,
-0.0007053689914755523,
0.024856815114617348,
0.0481487475335598,
0.0322326123714447,
0.018582884222269058,
0.023502608761191368,
-0.031225498765707016,
0.013963487930595875,
0.038564689457416534,
-0.012019416317343712,
-0.06150072440505028,
0.019670506939291954,
0.047142140567302704,
-0.006352203898131847,
0.03309537470340729,
-0.04350222274661064,
-0.03634088486433029,
-0.053892768919467926,
-0.020582549273967743,
-0.034249790012836456,
-0.025746002793312073,
-0.03093765489757061,
0.06479497998952866,
0.022938353940844536,
-0.0183602012693882,
0.04106306657195091,
-0.033510398119688034,
0.015493987128138542,
0.009139369241893291,
0.005740998778492212,
0.02753172442317009,
0.0009507061913609505,
0.01668032631278038,
0.05964401736855507,
0.014703802764415741,
-0.06903526932001114,
-0.02715691365301609,
-0.00008311253623105586,
0.023508885875344276,
0.003476673737168312,
-0.024975858628749847,
0.022894054651260376,
0.004760640673339367,
0.031607769429683685,
-0.020804651081562042,
-0.0032760584726929665,
-0.022449450567364693,
-0.03384225443005562,
0.00589153403416276,
-0.011149848811328411,
-0.05921371281147003,
-0.01163948979228735,
-0.028764719143509865,
-0.0007860981277190149,
-0.02899312414228916,
-0.05382344499230385,
-0.0604935847222805,
0.037374772131443024,
0.03882847726345062,
0.018699930980801582,
0.040762681514024734,
-0.016749508678913116,
-0.09250660985708237,
0.023505063727498055,
0.005483794491738081,
-0.021143877878785133,
-0.022178808227181435,
0.04725520685315132,
0.06633489578962326,
-0.031147804111242294,
-0.0624937005341053,
0.015798194333910942,
0.00551086850464344,
0.015694260597229004,
-0.008253813721239567,
0.05088479444384575,
-0.029401641339063644,
-0.00204104115255177,
-0.020671920850872993,
0.04304591938853264,
0.019112633541226387,
0.04868725314736366,
-0.015868423506617546,
0.025502508506178856,
0.019592300057411194,
0.011224961839616299,
0.06863144785165787,
0.06144418939948082,
-0.013494592159986496,
0.017471883445978165,
-0.08090365678071976,
-0.012705975212156773,
-0.016982300207018852,
-0.015222486108541489,
-0.00410094391554594,
-0.022708289325237274,
-0.0060903397388756275,
0.05752679333090782,
-0.012071357108652592,
-0.0034205771517008543,
-0.06024022027850151,
0.004188208375126123,
-0.022326035425066948,
-0.019726339727640152,
-0.036070216447114944,
-0.003269101958721876,
0.02143450453877449,
0.022209450602531433,
-0.029210668057203293,
-0.04048736393451691,
0.05443577468395233,
-0.0020572254434227943,
0.03202039375901222,
-0.009544283151626587,
-0.008672796189785004,
-0.00818887073546648,
-0.021574608981609344,
-0.03932306915521622,
0.01053780596703291,
0.04714231565594673,
0.03133481368422508,
-0.013296768069267273,
0.015840355306863785,
0.06342671811580658,
0.026357917115092278,
-0.011943308636546135,
-0.019733740016818047,
0.006250317674130201,
-0.014068069867789745,
0.004701757337898016,
0.019935816526412964,
0.03997006639838219,
-0.014363160356879234,
0.015581871382892132,
0.0523722879588604,
0.007924175821244717,
-0.028101500123739243,
0.0029096785001456738,
-0.025410844013094902,
0.0034373158123344183,
-0.03908408433198929,
-0.03294624760746956,
-0.02531108446419239,
0.04272260144352913,
0.006924145855009556,
0.016578059643507004,
-0.030453138053417206,
-0.028565753251314163,
-0.03777783364057541,
0.05423201620578766,
0.02580239810049534,
-0.022989077493548393,
0.0031440670136362314,
-0.008515413850545883,
0.05708295479416847,
-0.023462416604161263,
-0.02329922467470169,
0.012878786772489548,
-0.027628453448414803,
0.023644858971238136,
-0.025655800476670265,
-0.039922669529914856,
-0.014973231591284275,
-0.026549294590950012,
0.0013090710854157805,
0.031143300235271454,
-0.004096747376024723,
-0.0028725170996040106,
0.005247902125120163,
0.010552751831710339,
-0.016120925545692444,
-0.01512453518807888,
0.024114660918712616,
0.0567101314663887,
0.006344554480165243,
-0.010632786899805069,
0.01257928553968668,
-0.04251221567392349,
0.028782358393073082,
-0.004606651142239571,
0.006120140664279461,
-0.026333345100283623,
-0.046324074268341064,
-0.02434549853205681,
-0.038111016154289246,
-0.001507985289208591,
0.027601167559623718,
-0.01764577627182007,
-0.027782060205936432,
-0.018749665468931198,
0.0014327187091112137,
-0.012073480524122715,
0.005132926162332296,
0.019596165046095848,
-0.07417458295822144,
0.02772490866482258,
0.09621882438659668,
-0.018346747383475304,
0.022226087749004364,
-0.03761990740895271,
-0.03257083520293236,
-0.05786776542663574,
-0.03560267388820648,
0.017710203304886818,
0.002461422234773636,
-0.002124724444001913,
-0.000387671374483034,
0.006974759977310896,
-0.013186703436076641,
0.00200926186516881,
0.0030833121854811907,
-0.013936618342995644,
-0.03337607905268669,
-0.01876995898783207,
0.058643490076065063,
-0.01861121691763401,
0.004328387789428234,
-0.005822130013257265,
-0.02423856593668461,
0.0055452012456953526,
-0.03536781296133995,
0.04631747677922249,
0.04868452250957489,
-0.0032942225225269794,
0.01965869776904583,
-0.05227823927998543,
0.03335373476147652,
-0.026441091671586037,
-0.017130326479673386,
-0.019734401255846024,
0.027153024449944496,
-0.06812379509210587,
0.009154888801276684,
-0.025170650333166122,
0.012607218697667122,
0.001796250930055976,
0.007379275746643543,
0.022609926760196686,
0.021836552768945694,
0.023046931251883507,
-0.001956735970452428,
-0.03246114403009415,
-0.011476987972855568,
0.042456481605768204,
-0.01425880566239357,
-0.012531198561191559,
-0.06914009898900986,
-0.014841408468782902,
0.034601740539073944,
-0.03592744842171669,
-0.006958131678402424,
-0.010203361511230469,
0.06693314760923386,
0.017720652744174004,
0.02055429480969906,
0.021507788449525833,
-0.00032718959846533835,
0.036715857684612274,
-0.04496064782142639,
0.0069050975143909454,
-0.053584009408950806,
-0.025928238406777382,
0.05710670351982117,
-0.0024453045334666967,
0.004123854450881481,
-0.01758049987256527,
-0.036105550825595856,
0.02158050239086151,
-0.0328821986913681,
-0.0707867220044136,
0.016144167631864548,
-0.02113494463264942,
-0.00868480745702982,
0.01588241010904312,
-0.040978092700242996,
-0.015590415336191654,
0.01996915601193905,
-0.08722438663244247,
-0.01403280533850193,
0.02564898319542408,
0.01050688698887825,
-0.008155101910233498,
-0.011218189261853695,
-0.012576067820191383,
0.015175098553299904,
0.016867289319634438,
0.06111003831028938,
0.03362589702010155,
0.0018612168496474624,
-0.04600227251648903,
0.054506827145814896,
0.019585005939006805,
0.018390392884612083,
-0.0007361156167462468,
0.026171056553721428,
0.010923110879957676,
-0.0587458573281765,
0.04107257351279259,
0.0043373871594667435,
-0.016945598646998405,
-0.03580819442868233,
0.021110422909259796,
0.050247713923454285,
-0.026640038937330246,
-0.026576299220323563,
0.015150357037782669,
-0.05295410007238388,
-0.03330293670296669,
0.006569858640432358,
-0.024094009771943092,
0.019648302346467972,
0.06081494688987732,
-0.019615594297647476,
-0.002320236526429653,
0.03722017630934715,
0.02489953674376011,
-0.040941834449768066,
-0.03903456777334213,
0.08311930298805237,
0.051475267857313156,
0.04050556197762489,
-0.031764350831508636,
0.05883391946554184,
-0.018797121942043304,
-0.04616537317633629,
0.0391361378133297,
-0.008403937332332134,
-0.02250535972416401,
-0.05252072215080261,
0.024112680926918983,
0.07700283080339432,
-0.0010774977272376418,
0.055238597095012665,
-0.06524824351072311,
0.031802624464035034,
0.008729957975447178,
0.021396853029727936,
-0.02456601895391941,
0.059654392302036285,
0.04480520635843277,
0.011000169441103935,
-0.0022328628692775965,
-0.014682179316878319,
0.0022007625084370375,
-0.0070279911160469055,
0.013932239264249802,
0.03772452473640442,
-0.016376134008169174,
0.00972893089056015,
-0.0010686357272788882,
0.05804219841957092,
0.08559136092662811,
-0.040127504616975784,
-0.06522589921951294,
-0.03676672652363777,
0.018072491511702538,
0.0020529027096927166,
0.023426013067364693,
0.01270860992372036,
-0.037679560482501984,
0.048425979912281036,
-0.05249087139964104,
0.031860511749982834,
-0.01764923520386219,
0.005820961203426123,
0.0017354722367599607,
-0.015560165978968143,
-0.059463173151016235,
0.03138565644621849,
0.015559379011392593,
-0.02385774999856949,
-0.02718348428606987,
-0.00867114495486021,
-0.06105351820588112,
-0.05579941347241402,
-0.06456362456083298,
0.041501112282276154,
-0.014198069460690022,
-0.012155485339462757,
0.00942126102745533,
-0.032667893916368484,
-0.0044196550734341145,
0.03293556720018387,
-0.0499630942940712,
-0.020454147830605507,
0.021987244486808777,
0.005509832873940468,
0.0043035149574279785,
0.023793170228600502,
0.025124700739979744,
-0.010537547059357166,
-0.04898752272129059,
0.05077040195465088,
-0.021948425099253654,
0.00017338314501103014,
0.009239244274795055,
-0.01076380256563425,
-0.09625031799077988,
0.0068621342070400715,
-0.000340005848556757,
-0.008922775276005268,
-0.07654668390750885,
0.028124626725912094,
-0.05242905393242836,
0.0378938652575016,
0.06781534850597382,
-0.003046984551474452,
0.01718142256140709,
-0.028135497123003006,
-0.02857884019613266,
-0.008519168011844158,
-0.018018623813986778,
0.03068365529179573,
0.003355601569637656,
0.0481281578540802,
0.04870392382144928,
-0.001917279907502234,
-0.003693921724334359,
0.03154176473617554,
-0.007027501706033945,
-0.021075870841741562,
-0.030397389084100723,
-0.021789725869894028,
-0.027759024873375893,
-0.10178206861019135,
-0.023025954142212868,
0.050864797085523605,
-0.015548924915492535,
-0.05087737366557121,
-0.00874832458794117,
0.011545740999281406,
0.025250140577554703,
0.0034251862671226263,
0.0023366280365735292,
-0.00022436631843447685,
-0.041826579719781876,
-0.03989649564027786,
-0.05534142255783081,
0.022609874606132507,
-0.0012130055110901594,
0.032383620738983154,
-0.020449232310056686,
-0.04568028822541237,
0.000454382854513824,
-0.004991442430764437,
0.025537921115756035,
0.007562949787825346,
0.00801857840269804,
-0.027745800092816353
] |
https://github.com/pilancilab/cpal
|
539 |
Eliciting Language Model Behaviors with Investigator Agents
|
https://openreview.net/forum?id=AulTigiaMv
|
[
"Xiang Lisa Li",
"Neil Chowdhury",
"Daniel D. Johnson",
"Tatsunori Hashimoto",
"Percy Liang",
"Sarah Schwettmann",
"Jacob Steinhardt"
] |
Poster
|
Language models exhibit complex, diverse behaviors when prompted with free-form text, making it hard to characterize the space of possible outputs. We study the problem of behavioral elicitation, where the goal is to search for prompts that induce specific target behaviors (e.g., hallucinations, harmful responses) from a target language model. To navigate the exponentially large space of possible prompts, we train amortized investigator models to emulate the posterior distribution over the prompts, conditioned on the target behavior. Specifically, we first fit a reverse model and then use reinforcement learning to optimize likelihood of generating the target behavior. To improve the diversity of the prompt distribution, we further propose a novel iterative training objective based on the Frank-Wolfe algorithm that encourages each iteration to discover different sets of prompts not captured by previous iterations. Our investigator models produce prompts that exhibit a variety of effective and human-interpretable strategies for behavior elicitation, obtaining a 100% attack success rate on AdvBench (Harmful Behaviors) and an 85% hallucination rate.
|
red teaming; posterior inference
| null | 13,189 |
2502.01236
|
[
-0.017788907513022423,
-0.004294693470001221,
-0.01410588063299656,
0.062375206500291824,
0.01075349748134613,
0.009319502860307693,
0.03505012392997742,
-0.013535878621041775,
-0.0067088850773870945,
-0.007261307910084724,
-0.03728350251913071,
0.04615708068013191,
-0.05929001048207283,
-0.02528584934771061,
-0.01933024823665619,
0.06072963401675224,
0.006499461829662323,
0.006127607077360153,
0.012249895371496677,
-0.01318546012043953,
-0.007079560309648514,
-0.01799170672893524,
0.06864580512046814,
0.0037013189867138863,
0.061655089259147644,
0.00706537626683712,
0.036991242319345474,
-0.021374182775616646,
-0.027777675539255142,
-0.014961784705519676,
0.0277045089751482,
-0.024036696180701256,
0.013622494414448738,
-0.044361721724271774,
-0.0024556154385209084,
0.020646657794713974,
-0.046534597873687744,
0.02183782123029232,
0.010120186023414135,
0.009322458878159523,
-0.05413784086704254,
0.03566670045256615,
-0.025196848437190056,
0.004138862248510122,
-0.04213828220963478,
0.013274099677801132,
-0.10279696434736252,
0.016043882817029953,
0.022260962054133415,
-0.0636182427406311,
-0.10360318422317505,
0.03979840502142906,
0.019773364067077637,
-0.03247096389532089,
0.015908626839518547,
0.02145100198686123,
0.0666259303689003,
-0.11112897098064423,
0.0018778133671730757,
-0.04217084124684334,
-0.04694734513759613,
0.024670513346791267,
0.015922579914331436,
-0.0017542237183079123,
-0.012939934618771076,
0.015870174393057823,
0.0036074290983378887,
0.033603236079216,
-0.03743033483624458,
-0.021268365904688835,
-0.03291354328393936,
0.0054173339158296585,
-0.02709467150270939,
-0.0025179018266499043,
0.006808516103774309,
-0.048446305096149445,
0.030015932396054268,
0.054265715181827545,
0.029840197414159775,
-0.014811432920396328,
-0.00277278502471745,
0.032648950815200806,
0.0253769364207983,
0.024097749963402748,
-0.008885192684829235,
0.005565641447901726,
-0.02392207831144333,
-0.017050227150321007,
-0.06864139437675476,
0.007472896948456764,
-0.020194880664348602,
-0.07420660555362701,
0.007728879339993,
0.034181516617536545,
0.02476900815963745,
0.04459424689412117,
0.01924855075776577,
-0.002903831424191594,
-0.0024376334622502327,
0.02602515183389187,
-0.02651205100119114,
-0.019739652052521706,
0.012831134721636772,
0.016887055709958076,
-0.11706731468439102,
-0.014672704041004181,
-0.0009734992636367679,
-0.014934376813471317,
-0.040005236864089966,
0.002880155574530363,
-0.04996838420629501,
-0.0232260562479496,
0.0004754044930450618,
-0.022367851808667183,
-0.08489298820495605,
0.049338337033987045,
0.012737216427922249,
0.0384603813290596,
0.010169331915676594,
0.02737847901880741,
0.06582259386777878,
0.03205306455492973,
0.015727203339338303,
0.07467304170131683,
-0.02844846062362194,
-0.002741473726928234,
0.020694531500339508,
0.031646933406591415,
-0.014309867285192013,
-0.05459371581673622,
0.01670709438621998,
0.05035950616002083,
0.017918499186635017,
-0.00014468751032836735,
-0.0017654623370617628,
0.005296669900417328,
0.013212629593908787,
-0.014181071892380714,
0.03458275645971298,
0.017027899622917175,
0.009310944005846977,
-0.01413509901612997,
0.06554517894983292,
-0.02268681675195694,
0.06787662953138351,
-0.025837959721684456,
-0.04474247246980667,
-0.0073182606138288975,
-0.05920085683465004,
0.005867056082934141,
0.008468281477689743,
-0.018414564430713654,
0.013151136226952076,
-0.0690431296825409,
0.02239304594695568,
0.0556982196867466,
0.015915242955088615,
0.005731466691941023,
0.030573925003409386,
-0.0027156572323292494,
-0.007832732982933521,
0.005193198565393686,
-0.03507458046078682,
-0.014573675580322742,
0.005439385771751404,
-0.04640330374240875,
0.006680179852992296,
-0.009363292716443539,
-0.04296627640724182,
0.023042673245072365,
-0.04327429458498955,
-0.004382648505270481,
0.04981619492173195,
-0.0017026378773152828,
-0.012353961355984211,
-0.006902754306793213,
0.03413666784763336,
-0.0018483850872144103,
0.025792116299271584,
0.03294575586915016,
-0.07647335529327393,
0.02418300323188305,
-0.02078504115343094,
-0.011550785973668098,
0.017770512029528618,
-0.03148948401212692,
0.06122101470828056,
-0.027025951072573662,
-0.006497567985206842,
0.04917089268565178,
-0.06856917589902878,
-0.01759149506688118,
0.038627106696367264,
0.011580944061279297,
0.06145928055047989,
-0.012344212271273136,
0.0028311205096542835,
0.061072781682014465,
0.05066204071044922,
0.04889519885182381,
0.05079822242259979,
-0.02728351578116417,
0.04533879831433296,
0.021085292100906372,
-0.025786500424146652,
-0.006245018448680639,
0.03375950828194618,
-0.05339863523840904,
-0.01508681196719408,
0.04523245617747307,
-0.03447345271706581,
0.021915504708886147,
0.026255276054143906,
0.00028649569139815867,
0.031627822667360306,
0.002576323226094246,
-0.003063040552660823,
0.020883677527308464,
0.004708430729806423,
-0.06287547200918198,
0.009398754686117172,
-0.012841964140534401,
-0.03202561289072037,
-0.008625692687928677,
-0.046459611505270004,
0.10488675534725189,
0.07863952964544296,
-0.03853569179773331,
0.013473203405737877,
0.0037533952854573727,
0.005013918504118919,
0.016053684055805206,
0.019240891560912132,
-0.01999448798596859,
0.013438014313578606,
0.002707957522943616,
0.010781927034258842,
-0.0311892107129097,
0.05159326270222664,
-0.052113499492406845,
-0.0039684665389359,
0.06554234772920609,
-0.026544108986854553,
0.07061128318309784,
-0.023591546341776848,
0.005962816998362541,
0.03424789756536484,
-0.010166328400373459,
-0.01568024605512619,
-0.02590082213282585,
-0.025109555572271347,
0.008778979070484638,
-0.009390120394527912,
-0.03320593386888504,
0.00047112395986914635,
-0.04011012613773346,
-0.0034554970916360617,
-0.029267683625221252,
0.09334009140729904,
0.059262555092573166,
0.028652220964431763,
0.017363619059324265,
-0.0249630156904459,
-0.033922094851732254,
0.023695381358265877,
-0.10028396546840668,
-0.00933285616338253,
-0.01671896129846573,
-0.003840187331661582,
-0.006073380820453167,
0.03227541968226433,
-0.007254911120980978,
0.02397485077381134,
-0.03394008427858353,
-0.009969380684196949,
0.009035794995725155,
0.0334959514439106,
0.017456835135817528,
-0.03315272554755211,
-0.005751209333539009,
-0.008414259180426598,
0.05683266744017601,
-0.012074049562215805,
-0.00007824139902368188,
-0.012221346609294415,
-0.07851848006248474,
-0.03324746713042259,
-0.030189696699380875,
-0.013301494531333447,
0.022953657433390617,
-0.00004524979158304632,
0.01920393481850624,
0.0036071257200092077,
0.011600407771766186,
0.014953451231122017,
0.049690037965774536,
0.0398588664829731,
0.019578011706471443,
-0.009307296015322208,
0.02174658328294754,
-0.018565135076642036,
-0.006416459567844868,
-0.019488437101244926,
0.04176855832338333,
-0.01711888052523136,
-0.001623183605261147,
0.019934678450226784,
0.006560820620507002,
-0.27106502652168274,
-0.017030296847224236,
0.0025971231516450644,
-0.015032391063869,
0.013796246610581875,
0.02446254901587963,
0.06617472320795059,
-0.0560295432806015,
-0.029890762642025948,
0.02818499505519867,
0.00005601521843345836,
0.02099163457751274,
0.013492727652192116,
0.06956292688846588,
0.047950729727745056,
0.03377549350261688,
-0.013282888568937778,
-0.01112400833517313,
0.006878908257931471,
0.036051686853170395,
-0.011165881529450417,
-0.03979150205850601,
-0.03510284423828125,
0.040101632475852966,
0.022960662841796875,
0.07338263094425201,
-0.06448034197092056,
0.003475694451481104,
-0.006617662031203508,
-0.020396007224917412,
-0.00063633470563218,
-0.03421740606427193,
-0.03549191355705261,
0.03353630378842354,
0.00876529235392809,
0.01769925281405449,
0.04087742045521736,
0.0023320745676755905,
0.03235401585698128,
0.00691996468231082,
0.017377762123942375,
-0.015739155933260918,
-0.037016455084085464,
0.0227785836905241,
0.07787074148654938,
0.005941297858953476,
-0.06844229996204376,
-0.016260245814919472,
0.021833550184965134,
0.028770433738827705,
-0.014353052712976933,
-0.014248659834265709,
-0.022540641948580742,
0.023259738460183144,
0.018821274861693382,
-0.013763581402599812,
0.01051128190010786,
-0.03613045811653137,
-0.006214108318090439,
-0.0017076459480449557,
0.006865132600069046,
-0.038419485092163086,
-0.025629162788391113,
-0.038443438708782196,
0.014059777371585369,
-0.038576774299144745,
-0.0553358756005764,
-0.06610919535160065,
0.03959154710173607,
0.006691993214190006,
-0.0013329001376405358,
0.003183917375281453,
0.0023930666502565145,
-0.09694019705057144,
0.029047885909676552,
0.0009646602557040751,
-0.007506751921027899,
-0.05187312141060829,
0.007643557153642178,
0.04036509245634079,
-0.05269379913806915,
-0.04478807747364044,
-0.023706313222646713,
0.001582492608577013,
0.035026781260967255,
-0.018435584381222725,
0.018009763211011887,
-0.030741754919290543,
-0.04045628756284714,
-0.03732098266482353,
0.004661103710532188,
0.020588761195540428,
0.015274979174137115,
-0.0009637793409638107,
0.06030169501900673,
0.038702502846717834,
0.06460380554199219,
0.04085955023765564,
0.04383201152086258,
-0.0044361562468111515,
0.027265354990959167,
-0.09588012099266052,
-0.008552098646759987,
-0.05132842808961868,
-0.047324288636446,
0.04324977472424507,
-0.07335487753152847,
-0.03512078896164894,
0.04343581572175026,
-0.005797371733933687,
-0.041644226759672165,
-0.03695990517735481,
0.00974819716066122,
0.02044394426047802,
0.004879023879766464,
-0.0033984666224569082,
0.015257833525538445,
0.036198440939188004,
0.03366141766309738,
-0.024252109229564667,
-0.06871043145656586,
0.020255904644727707,
-0.04167819395661354,
0.004379511810839176,
0.003286804538220167,
-0.001232431153766811,
0.03754999861121178,
0.00032731308601796627,
-0.0008552934159524739,
0.0018758552614599466,
0.03624710068106651,
0.008974224328994751,
0.006080847233533859,
0.025034835562109947,
0.07787829637527466,
0.009514597244560719,
-0.009248738177120686,
-0.01627977192401886,
0.013954352587461472,
-0.01699795015156269,
-0.022234689444303513,
-0.017041021957993507,
0.03774705529212952,
0.048124004155397415,
0.011694679968059063,
-0.000957708281930536,
0.008803225122392178,
-0.017353899776935577,
0.014671950601041317,
-0.006436191499233246,
0.04735621064901352,
-0.038299765437841415,
-0.02175731025636196,
-0.03348779305815697,
0.016743160784244537,
-0.0018711717566475272,
0.027211274951696396,
-0.017338214442133904,
0.028512729331851006,
-0.056737020611763,
0.035232216119766235,
-0.0035927549470216036,
-0.006756478920578957,
0.008586496114730835,
0.03176305070519447,
0.06051580235362053,
-0.05388006567955017,
-0.004405010957270861,
-0.003944383002817631,
0.00995346624404192,
0.009633519686758518,
-0.03847688063979149,
-0.03533231467008591,
0.02749001793563366,
-0.017154637724161148,
-0.009256956167519093,
-0.007582056801766157,
-0.006754989270120859,
-0.03200136125087738,
0.02972974069416523,
0.00758748734369874,
-0.02665538154542446,
-0.027900341898202896,
-0.02174612134695053,
0.0971001610159874,
-0.004586446098983288,
0.04024165868759155,
0.009114336222410202,
-0.030750712379813194,
0.028868068009614944,
-0.02683926559984684,
0.016813227906823158,
-0.018517790362238884,
-0.03743860125541687,
-0.03631693497300148,
-0.0642712414264679,
0.006817460525780916,
0.011494691483676434,
0.009105757810175419,
-0.014129996299743652,
0.006577163469046354,
0.004599642939865589,
-0.03295271471142769,
-0.026183703914284706,
0.012819464318454266,
-0.083811454474926,
-0.008236553519964218,
-0.011360496282577515,
-0.008024992421269417,
0.03984649479389191,
-0.045953478664159775,
-0.0518769845366478,
-0.04679061099886894,
-0.014552902430295944,
0.019678590819239616,
-0.02014182135462761,
-0.03895033895969391,
-0.05305555835366249,
0.0018240415956825018,
0.02237384393811226,
0.002425625454634428,
-0.018122507259249687,
-0.0012641516514122486,
-0.018487107008695602,
-0.00816465076059103,
0.04159802198410034,
-0.04366695135831833,
-0.0517069436609745,
-0.009506945498287678,
-0.04021279886364937,
0.044974811375141144,
-0.025841152295470238,
0.0279680285602808,
0.036771904677152634,
-0.022303350269794464,
-0.0098015908151865,
-0.03027721308171749,
0.05736452713608742,
0.011573977768421173,
0.0013136167544871569,
-0.010759384371340275,
0.009700657799839973,
-0.03292212262749672,
0.004022188484668732,
0.0242950227111578,
0.032752443104982376,
0.010918725281953812,
0.01023789681494236,
0.01826811395585537,
0.021082472056150436,
0.012243199162185192,
0.028103379532694817,
-0.04327278584241867,
-0.0008123898296616971,
0.0437675416469574,
-0.019977128133177757,
-0.014725998975336552,
-0.05435407906770706,
-0.005963520146906376,
-0.003938707988709211,
-0.012751694768667221,
0.018762459978461266,
-0.05441994592547417,
0.039403095841407776,
-0.009312417358160019,
0.018530957400798798,
-0.0013889842666685581,
0.007842237129807472,
0.030968498438596725,
-0.031417716294527054,
-0.021909408271312714,
-0.05992679297924042,
-0.0030631697736680508,
0.0832056924700737,
-0.049338068813085556,
-0.003149018855765462,
0.007952707819640636,
-0.02958574891090393,
0.05890882387757301,
-0.028020286932587624,
-0.04707697406411171,
0.05271551385521889,
-0.027729472145438194,
-0.02301371656358242,
0.048927802592515945,
-0.06274273246526718,
-0.01784268021583557,
-0.03143037483096123,
-0.041283026337623596,
-0.0131720881909132,
0.03193001449108124,
0.053717583417892456,
-0.033284835517406464,
0.008541586808860302,
-0.009327154606580734,
0.021184410899877548,
0.02083565481007099,
0.03984362259507179,
0.022298142313957214,
0.03128385171294212,
-0.019990496337413788,
0.044339779764413834,
0.03912629559636116,
0.026761310175061226,
-0.00198274664580822,
0.004233912564814091,
-0.02532750740647316,
-0.04658866301178932,
0.056504663079977036,
-0.02290281094610691,
-0.02658945694565773,
-0.048029571771621704,
0.06436355412006378,
0.04321015998721123,
-0.044414445757865906,
-0.008901395834982395,
0.02547585219144821,
-0.05484248697757721,
-0.0024272857699543238,
-0.005097978748381138,
0.011875255964696407,
0.007712021470069885,
0.07440878450870514,
0.0487111434340477,
0.059676218777894974,
0.05446615815162659,
0.0004812058759853244,
-0.010617648251354694,
-0.0005822864477522671,
0.0689672976732254,
0.07406000047922134,
0.07863839715719223,
0.0186480563133955,
0.06623728573322296,
-0.05917833745479584,
-0.04874417930841446,
0.01752310059964657,
0.03850646689534187,
-0.017124570906162262,
-0.037007395178079605,
0.012431061826646328,
0.07295893132686615,
-0.020199788734316826,
0.06265952438116074,
-0.05389205738902092,
-0.004950843285769224,
0.0675140768289566,
0.01968245580792427,
-0.012638796120882034,
0.03298157826066017,
0.03593548759818077,
0.02418597601354122,
-0.030728977173566818,
-0.025361863896250725,
-0.001525725470855832,
-0.042836274951696396,
-0.0032161835115402937,
0.022127659991383553,
-0.02284424751996994,
0.01148687768727541,
-0.017073528841137886,
0.025902776047587395,
0.12288974970579147,
-0.02327483706176281,
-0.006851513870060444,
0.022929081693291664,
-0.01881900615990162,
0.006741441786289215,
0.03914614021778107,
-0.01435770746320486,
0.012224082835018635,
0.008406256325542927,
-0.03270145133137703,
0.0046045491471886635,
0.03498530015349388,
-0.00997010339051485,
0.034395936876535416,
-0.035691145807504654,
-0.022251827642321587,
0.000778424902819097,
0.02285877615213394,
-0.026556814089417458,
-0.06292399764060974,
-0.028188837692141533,
-0.020375560969114304,
-0.04582470655441284,
-0.025218410417437553,
0.018950169906020164,
0.00023654323013033718,
-0.043662916868925095,
0.03324322775006294,
-0.017783377319574356,
0.0060140700079500675,
-0.011741198599338531,
-0.05233054235577583,
-0.006621758919209242,
0.048579487949609756,
0.008122311905026436,
-0.024010417982935905,
0.021198736503720284,
0.03431928530335426,
-0.0004720976867247373,
-0.0031844042241573334,
0.0037990242708474398,
0.010295646265149117,
0.018598230555653572,
-0.010599971748888493,
-0.018842194229364395,
-0.08990946412086487,
-0.022713826969265938,
0.015020223334431648,
-0.0030998121947050095,
-0.08374221622943878,
0.01686897873878479,
-0.03317343443632126,
0.05593007057905197,
0.06642170250415802,
0.04717196896672249,
0.006312916055321693,
-0.014763595536351204,
-0.0010598615044727921,
0.01502001378685236,
0.011111638508737087,
0.050717514008283615,
-0.0454879105091095,
0.06667088717222214,
0.036988306790590286,
-0.06352950632572174,
-0.050579529255628586,
0.012170466594398022,
-0.00159880006685853,
-0.018231453374028206,
-0.000514947168994695,
-0.017579976469278336,
0.003991831559687853,
-0.10706573724746704,
-0.008216632530093193,
0.03369605541229248,
0.013586754910647869,
-0.021392954513430595,
0.003539422992616892,
-0.01576310023665428,
0.0038895304314792156,
0.00906458031386137,
-0.04238276928663254,
-0.00789724849164486,
-0.016399310901761055,
-0.05330970510840416,
-0.06810858100652695,
-0.005005769431591034,
-0.05497381091117859,
-0.016524268314242363,
-0.06605258584022522,
-0.03837396949529648,
-0.021554477512836456,
0.024224188178777695,
0.05040164291858673,
-0.009230193682014942,
0.009666506201028824,
-0.026191629469394684
] | null |
540 |
Eigenspectrum Analysis of Neural Networks without Aspect Ratio Bias
|
https://openreview.net/forum?id=7ywj1B3DuO
|
[
"Yuanzhe Hu",
"Kinshuk Goel",
"Vlad Killiakov",
"Yaoqing Yang"
] |
Poster
|
Diagnosing deep neural networks (DNNs) through the eigenspectrum of weight matrices has been an active area of research in recent years. At a high level, eigenspectrum analysis of DNNs involves measuring the heavytailness of the empirical spectral densities (ESD) of weight matrices. It provides insight into how well a model is trained and can guide decisions on assigning better layer-wise training hyperparameters. In this paper, we address a challenge associated with such eigenspectrum methods: the impact of the aspect ratio of weight matrices on estimated heavytailness metrics. We demonstrate that matrices of varying sizes (and aspect ratios) introduce a non-negligible bias in estimating heavytailness metrics, leading to inaccurate model diagnosis and layer-wise hyperparameter assignment. To overcome this challenge, we propose FARMS (Fixed-Aspect-Ratio Matrix Subsampling), a method that normalizes the weight matrices by subsampling submatrices with a fixed aspect ratio. Instead of measuring the heavytailness of the original ESD, we measure the average ESD of these subsampled submatrices. We show that measuring the heavytailness of these submatrices with the fixed aspect ratio can effectively mitigate the aspect ratio bias. We validate our approach across various optimization techniques and application domains that involve eigenspectrum analysis of weights, including image classification in computer vision (CV) models, scientific machine learning (SciML) model training, and large language model (LLM) pruning. Our results show that despite its simplicity, FARMS uniformly improves the accuracy of eigenspectrum analysis while enabling more effective layer-wise hyperparameter assignment in these application domains. In one of the LLM pruning experiments, FARMS reduces the perplexity of the LLaMA-7B model by 17.3\% when compared with the state-of-the-art method.
|
LLM Pruning, Weight Matrix Analysis, Spectral Analysis, Marchenko-Pastur Law, Hyperparameter Tuning
|
We reduce the bias of eigenspectrum diagnosis using a method based on matrix subsampling
| 13,188 |
2506.06280
|
[
-0.014384208247065544,
-0.020783592015504837,
0.026852687820792198,
-0.00265746028162539,
0.028814096003770828,
0.028144055977463722,
0.017917336896061897,
-0.007305034436285496,
-0.04472857713699341,
-0.05152120068669319,
-0.015823232010006905,
-0.005385142285376787,
-0.05639752000570297,
0.004996968898922205,
-0.0019673039205372334,
0.06657176464796066,
0.05562324449419975,
-0.0070963772013783455,
0.006769996602088213,
0.028557490557432175,
0.024039072915911674,
-0.024264559149742126,
0.03844601660966873,
0.009418664500117302,
0.02547878958284855,
-0.01938837394118309,
0.05353257805109024,
0.01722305454313755,
-0.021970104426145554,
0.01936473324894905,
0.03206385299563408,
0.006513671949505806,
0.002991369226947427,
-0.038294192403554916,
0.026443498209118843,
0.06184455007314682,
-0.06968103349208832,
0.004723210819065571,
-0.036232057958841324,
0.0067322044633328915,
-0.02447691559791565,
0.0010467831743881106,
-0.019606925547122955,
0.040269769728183746,
-0.07051264494657516,
0.02635263465344906,
-0.11647980660200119,
0.04478536918759346,
0.002292611636221409,
-0.007313573732972145,
-0.12195935845375061,
0.018237071111798286,
-0.024888236075639725,
0.013450521975755692,
0.013105678372085094,
0.05918688699603081,
0.022474439814686775,
-0.08829692006111145,
-0.022872429341077805,
-0.03692754730582237,
-0.011036297306418419,
-0.013505648821592331,
0.011899963952600956,
0.01639760099351406,
0.012605976313352585,
0.002666543237864971,
0.004931411240249872,
0.032589737325906754,
-0.06347924470901489,
-0.020942963659763336,
0.017754822969436646,
0.010168763808906078,
-0.019858283922076225,
0.013466189615428448,
-0.0014388177078217268,
-0.039987947791814804,
0.02508341148495674,
0.022862613201141357,
0.07101953774690628,
0.011521676555275917,
0.01986570470035076,
0.013315105810761452,
0.01719554141163826,
0.026376748457551003,
0.00154841726180166,
0.034040048718452454,
-0.037968527525663376,
-0.035307951271533966,
-0.05588693916797638,
0.04516427591443062,
-0.008455781266093254,
-0.02476424351334572,
0.03236255794763565,
0.06467261910438538,
0.010450389236211777,
-0.012987257912755013,
0.034503355622291565,
0.003217646386474371,
0.0019548216369003057,
0.004306064452975988,
0.03132744878530502,
-0.04057716950774193,
0.017480453476309776,
0.023686854168772697,
-0.09637616574764252,
-0.02576381526887417,
-0.02017885632812977,
-0.017767857760190964,
-0.03796584904193878,
0.03267534077167511,
-0.04446073994040489,
0.00024057429982349277,
0.012102046981453896,
-0.01774982549250126,
-0.0868467167019844,
0.04435516521334648,
-0.002409246750175953,
-0.0030166786164045334,
-0.006751992739737034,
0.031119391322135925,
0.07133357226848602,
0.06502891331911087,
-0.01298863161355257,
0.06554750353097916,
-0.018054069951176643,
0.010523888282477856,
-0.008636723272502422,
0.044734593480825424,
-0.02528316341340542,
-0.02284068800508976,
0.016544537618756294,
0.01331527903676033,
0.005386891309171915,
0.031125277280807495,
0.009101555682718754,
-0.03194601088762283,
0.021823352202773094,
0.005505690351128578,
0.06307370215654373,
0.004644019529223442,
-0.028794556856155396,
-0.05829412862658501,
0.03676493093371391,
-0.04141503944993019,
0.06076934188604355,
-0.01133057102560997,
-0.0014812551671639085,
-0.029059311375021935,
-0.019543221220374107,
-0.020358171314001083,
0.005592447705566883,
-0.004700074438005686,
0.0044570923782885075,
-0.07527093589305878,
0.033905934542417526,
0.05389179289340973,
-0.0018651325954124331,
0.015028863213956356,
0.0021280855871737003,
0.007719852961599827,
0.006210110615938902,
-0.016779130324721336,
-0.038599271327257156,
0.029188338667154312,
-0.03498593345284462,
-0.03908176347613335,
0.03492358326911926,
-0.0014806106919422746,
-0.05065155774354935,
0.019327308982610703,
-0.03655378520488739,
-0.06143882870674133,
0.051372185349464417,
-0.009148480370640755,
-0.001651582308113575,
-0.025971408933401108,
0.013441634364426136,
0.030991308391094208,
0.010982823558151722,
0.040477003902196884,
-0.08938871324062347,
0.04205687716603279,
0.0260823555290699,
-0.028527097776532173,
-0.000005116189640830271,
0.0041138785891234875,
0.09100854396820068,
-0.04537554830312729,
0.005206796806305647,
0.004940849728882313,
-0.05983487516641617,
-0.0043096342124044895,
0.040257856249809265,
-0.01898641139268875,
0.0410100482404232,
-0.010505596175789833,
-0.010359343141317368,
0.0028897712472826242,
-0.014425131492316723,
0.03487082198262215,
0.0367056280374527,
-0.02333696186542511,
0.03443938493728638,
-0.00742367934435606,
-0.044600535184144974,
-0.022064782679080963,
0.05294030159711838,
-0.057391636073589325,
-0.0033367606811225414,
0.02368665672838688,
0.017917614430189133,
-0.04951876401901245,
-0.016158634796738625,
0.022266821935772896,
0.02383720874786377,
-0.0008713960414752364,
-0.0006526990910060704,
-0.0018485785694792867,
0.03496734797954559,
-0.03674842789769173,
0.052249204367399216,
0.028076549991965294,
-0.02394198626279831,
0.014513654634356499,
0.00886461790651083,
0.08080689609050751,
0.09589944779872894,
-0.0542900487780571,
-0.01950577273964882,
0.03543596714735031,
0.01594606041908264,
-0.0012068707728758454,
0.006127055734395981,
-0.014697630889713764,
-0.02960548922419548,
0.0017027639551088214,
-0.01479483861476183,
-0.02300563082098961,
0.07804223895072937,
-0.044855572283267975,
0.012674565427005291,
0.05502630025148392,
-0.014909528195858002,
0.04093955084681511,
-0.019602613523602486,
0.0002753632143139839,
0.07448350638151169,
-0.0045869601890444756,
-0.028575418516993523,
-0.027900097891688347,
-0.027753854170441628,
0.031284477561712265,
-0.004345005843788385,
-0.05236930772662163,
-0.010767366737127304,
-0.05923638865351677,
-0.02508133463561535,
-0.02361932396888733,
0.08501265197992325,
0.044581081718206406,
-0.011507577262818813,
0.018454372882843018,
0.0010947418631985784,
-0.063656747341156,
-0.01130890566855669,
-0.09133100509643555,
-0.03617359325289726,
-0.02516615390777588,
0.03683272749185562,
-0.02888662740588188,
0.06266278028488159,
0.027667028829455376,
0.005727787502110004,
-0.028258047997951508,
-0.017038170248270035,
0.00881833303719759,
0.05436116084456444,
-0.020955117419362068,
-0.03605788201093674,
-0.014341273345053196,
0.020832855254411697,
0.07724860310554504,
0.0019841480534523726,
-0.04681651294231415,
-0.03487036004662514,
-0.03215646743774414,
0.007081451825797558,
-0.020156241953372955,
0.024673741310834885,
0.017296258360147476,
-0.02078661508858204,
0.03959669917821884,
-0.017152579501271248,
0.014872653409838676,
0.013027092441916466,
0.06846693903207779,
0.05703364312648773,
0.0007234800141304731,
0.02990238554775715,
0.024745183065533638,
-0.01002591010183096,
0.03522000461816788,
-0.0024852282367646694,
0.017952198162674904,
-0.052999887615442276,
-0.020007744431495667,
0.01796974614262581,
-0.0322529673576355,
-0.2954353988170624,
0.0031062657944858074,
0.019001388922333717,
-0.0157653596252203,
0.04391423240303993,
-0.018405478447675705,
0.012386947870254517,
-0.004930155351758003,
0.0010824938071891665,
-0.011748014017939568,
0.0062392582185566425,
0.0366654135286808,
-0.021967830136418343,
0.03438159078359604,
0.030653025954961777,
-0.014163089916110039,
0.01454534474760294,
-0.028523758053779602,
0.0254102423787117,
0.032416947185993195,
-0.008557389490306377,
-0.07097137719392776,
-0.010418198071420193,
0.06170275807380676,
-0.02847040817141533,
0.04560183733701706,
-0.07380522787570953,
0.01336450781673193,
-0.024128826335072517,
-0.028659358620643616,
-0.02833491750061512,
-0.03376789018511772,
-0.03551735728979111,
0.03270069509744644,
0.014143428765237331,
-0.012965627014636993,
0.010149024426937103,
-0.02294223941862583,
-0.002119251526892185,
0.024486150592565536,
0.0043173013255000114,
-0.002756486414000392,
-0.01752568408846855,
0.02664225548505783,
0.05989445745944977,
0.03122037649154663,
-0.03236372023820877,
-0.008558440022170544,
0.0032730395905673504,
0.020521316677331924,
-0.011058501899242401,
-0.029855260625481606,
-0.0010802806355059147,
-0.02001773938536644,
-0.060064107179641724,
-0.05543186888098717,
-0.0007317232666537166,
-0.01124848797917366,
-0.008542283438146114,
0.03499390184879303,
0.00990944541990757,
-0.053555626422166824,
-0.017905263230204582,
-0.05932772159576416,
-0.029883308336138725,
-0.007328343112021685,
-0.051976799964904785,
-0.07082606852054596,
0.045030590146780014,
0.002405386883765459,
0.0035414667800068855,
0.03044704906642437,
-0.020847138017416,
-0.09521383792161942,
0.06029890850186348,
-0.012495006434619427,
-0.02364286035299301,
-0.03569410741329193,
-0.01069917343556881,
0.02500021830201149,
-0.020412353798747063,
-0.019308194518089294,
0.046050190925598145,
0.007736807689070702,
-0.010185783728957176,
-0.002941243117675185,
0.009417388588190079,
-0.0018711016746237874,
-0.018495842814445496,
-0.023050500079989433,
0.05045004561543465,
-0.005371097940951586,
0.008322563953697681,
-0.026455843821167946,
0.06448981165885925,
0.03346508741378784,
0.03973366692662239,
0.051619768142700195,
0.03493769094347954,
0.02928048186004162,
0.03825068101286888,
-0.06057271733880043,
-0.014443807303905487,
-0.040274668484926224,
-0.04066366329789162,
0.022768165916204453,
-0.05764633044600487,
-0.018055416643619537,
0.05352136120200157,
-0.012812473811209202,
-0.03979017212986946,
-0.05283301696181297,
-0.013439605943858624,
0.0001875401212600991,
0.000891372503247112,
-0.00011820456711575389,
-0.0009732101461850107,
0.018338967114686966,
0.022873513400554657,
-0.03145148605108261,
-0.022015921771526337,
0.0052589960396289825,
-0.02536369301378727,
-0.007011233828961849,
0.0159040205180645,
0.00423060916364193,
-0.0077184089459478855,
0.01878395304083824,
-0.016589023172855377,
-0.008773122914135456,
0.03378891199827194,
0.03554815053939819,
0.021424997597932816,
0.031192122027277946,
0.058511123061180115,
0.02859506942331791,
-0.001952959457412362,
-0.015189163386821747,
0.04515688493847847,
-0.00962413102388382,
0.033394746482372284,
0.00616369629278779,
0.04376528784632683,
0.04208288714289665,
0.025102850049734116,
0.025799375027418137,
0.021836308762431145,
-0.006711249239742756,
-0.005611761473119259,
0.017856454476714134,
0.044724058359861374,
-0.03736702352762222,
-0.03910886496305466,
-0.00529300794005394,
-0.02486230991780758,
-0.00246179080568254,
0.049066852778196335,
0.0067954156547784805,
-0.003287971718236804,
-0.07827798277139664,
0.08258052915334702,
0.036871690303087234,
-0.051413457840681076,
0.01627444475889206,
0.00768235232681036,
0.038665831089019775,
0.006666682660579681,
0.030257917940616608,
0.01776878535747528,
-0.013611841015517712,
-0.030272331088781357,
-0.013929090462625027,
-0.03683268278837204,
-0.004750899039208889,
0.01958589442074299,
-0.0033437730744481087,
0.03370476886630058,
-0.008832201361656189,
-0.022867657244205475,
0.03031868487596512,
0.033744122833013535,
0.006929929368197918,
-0.0034765596501529217,
0.034511715173721313,
0.05657612159848213,
0.03515224903821945,
-0.007264524698257446,
-0.009949094615876675,
-0.027644243091344833,
0.05941846966743469,
-0.004925610963255167,
0.00031873618718236685,
0.002367368433624506,
-0.025723790749907494,
-0.03108816035091877,
-0.032159700989723206,
0.005783724132925272,
0.019092710688710213,
0.00816305261105299,
-0.05233197659254074,
-0.004565701354295015,
0.0225894246250391,
-0.03260989487171173,
-0.013921045698225498,
0.011890161782503128,
-0.08252116292715073,
0.003655650420114398,
0.03303584083914757,
-0.03921142965555191,
0.008923857472836971,
-0.009886635467410088,
-0.06041080877184868,
-0.05750548094511032,
-0.02262050099670887,
0.014496458694338799,
0.011920221149921417,
-0.021556220948696136,
-0.00022811858798377216,
-0.0056873164139688015,
-0.0035174794029444456,
0.021987205371260643,
-0.009387309662997723,
-0.00044542085379362106,
-0.008378230966627598,
-0.015025845728814602,
0.05221069976687431,
0.009386472404003143,
0.017482614144682884,
0.02978488989174366,
-0.01853715442121029,
-0.011548473499715328,
-0.043473049998283386,
-0.01076276134699583,
0.06443249434232712,
0.01629464328289032,
0.0003114590363111347,
-0.05582898482680321,
0.01153040211647749,
-0.006986494176089764,
0.0018054615939036012,
-0.023320397362113,
0.014082339592278004,
-0.028672074899077415,
0.00092166947433725,
-0.006680223625153303,
0.02580414153635502,
0.01420174352824688,
0.005282178055495024,
-0.0024689859710633755,
-0.012721613049507141,
0.011761248111724854,
0.028449803590774536,
-0.04538208246231079,
-0.022206032648682594,
0.04906925559043884,
-0.02268160507082939,
-0.014305255375802517,
-0.07802408933639526,
-0.03486467897891998,
0.006862437818199396,
-0.03319581598043442,
0.03438837453722954,
-0.008422386832535267,
0.06362936645746231,
0.02545805461704731,
0.027504777535796165,
-0.01420669537037611,
-0.014981448650360107,
0.044903602451086044,
-0.054053593426942825,
0.007948160171508789,
-0.041963353753089905,
-0.0228952057659626,
0.06297952681779861,
-0.019931839779019356,
0.057658229023218155,
-0.000024902605218812823,
-0.0370161235332489,
0.038073983043432236,
-0.01968774013221264,
-0.07895796000957489,
0.003399184439331293,
-0.030687319114804268,
-0.006267552729696035,
0.03657488524913788,
-0.04062705487012863,
-0.011383903212845325,
-0.030062077566981316,
-0.0399407297372818,
0.00836129393428564,
0.01885637827217579,
0.04725516960024834,
-0.036378078162670135,
-0.005457957740873098,
-0.02509482018649578,
0.0007522314554080367,
0.03029002994298935,
0.04112818092107773,
-0.0033812448382377625,
0.006177571136504412,
-0.045582666993141174,
0.07886453717947006,
0.04877377673983574,
0.008648843504488468,
0.005397162400186062,
0.025180157274007797,
-0.002723423531278968,
-0.08018581569194794,
0.06199605390429497,
0.007645166013389826,
-0.047830767929553986,
-0.06651464104652405,
0.031059779226779938,
0.04298461973667145,
-0.03456496447324753,
0.004387582186609507,
0.044606633484363556,
-0.022316088899970055,
0.023333631455898285,
-0.00714388582855463,
-0.015044140629470348,
0.005634807515889406,
0.058122389018535614,
0.005665230099111795,
0.04016817733645439,
0.06579775363206863,
-0.009406330063939095,
0.012061123736202717,
-0.0011281827464699745,
0.06327629089355469,
0.050835322588682175,
0.05199689790606499,
0.0019342757295817137,
0.06267259269952774,
-0.05544208735227585,
-0.039390940219163895,
0.011732276529073715,
-0.004934993572533131,
-0.014578590169548988,
-0.013229631818830967,
0.00008512287604389712,
0.05631543695926666,
0.042899370193481445,
0.09717975556850433,
-0.04736076667904854,
0.017116855829954147,
0.0032234371174126863,
0.011710047721862793,
-0.005642045754939318,
0.021432556211948395,
0.01790466718375683,
0.004172219429165125,
-0.027506602928042412,
-0.020451070740818977,
-0.027532368898391724,
-0.031727977097034454,
0.0010671191848814487,
0.014277823269367218,
-0.0036751674488186836,
0.024475693702697754,
-0.01077569555491209,
0.06785055249929428,
0.08965764939785004,
-0.037172865122556686,
-0.07465838640928268,
-0.010220346041023731,
-0.006771912332624197,
-0.0024515765253454447,
0.016527045518159866,
0.007414576597511768,
-0.015804575756192207,
0.009609216824173927,
-0.04421932250261307,
0.0321696400642395,
0.01565159112215042,
-0.0024327971041202545,
0.01473168469965458,
-0.008981653489172459,
-0.02105151303112507,
0.013615494593977928,
0.03378722816705704,
-0.05045101419091225,
-0.04668664559721947,
-0.035400599241256714,
-0.05570186674594879,
-0.030168790370225906,
-0.06563202291727066,
0.045972567051649094,
0.04106324538588524,
-0.009878558106720448,
-0.021504659205675125,
-0.008254775777459145,
0.021597126498818398,
0.0706111416220665,
-0.07218050211668015,
0.0002513570652808994,
0.02968626841902733,
0.010849560610949993,
-0.0025335673708468676,
0.02109154313802719,
0.0391877107322216,
-0.003557603806257248,
-0.005539123900234699,
0.05472869053483009,
-0.0006414966192096472,
0.03353933244943619,
-0.015353430062532425,
-0.004912661388516426,
-0.08804664760828018,
0.0003576718445401639,
-0.0039126030169427395,
-0.04145257547497749,
-0.06478662043809891,
0.05369501933455467,
-0.020575838163495064,
0.015179142355918884,
0.06359073519706726,
-0.014835663139820099,
0.008583709597587585,
-0.026656264439225197,
-0.041698865592479706,
-0.017974436283111572,
-0.004583238158375025,
0.028184745460748672,
-0.00042835582280531526,
0.052443839609622955,
0.02228403091430664,
-0.016886865720152855,
-0.026698391884565353,
0.03969300910830498,
-0.03389556705951691,
-0.0070553431287407875,
-0.0362384133040905,
-0.022244367748498917,
-0.032208576798439026,
-0.09897519648075104,
0.02318362146615982,
-0.009429641999304295,
-0.00941635761409998,
-0.04742196574807167,
0.0003759153769351542,
0.0044205631129443645,
-0.03835475817322731,
-0.06630533933639526,
-0.0026707628276199102,
-0.015212105587124825,
-0.048381611704826355,
-0.03301037847995758,
-0.037453483790159225,
0.028062963858246803,
-0.01788233406841755,
-0.015814095735549927,
-0.02819846011698246,
-0.05640340596437454,
-0.03531573340296745,
-0.01998344622552395,
0.035966988652944565,
0.007575796917080879,
0.017435239627957344,
-0.029729744419455528
] |
https://github.com/HUST-AI-HYZ/FARMS
|
541 |
A Machine Learning Approach to Duality in Statistical Physics
|
https://openreview.net/forum?id=bWeLpOgqGp
|
[
"Prateek Gupta",
"Andrea E. V. Ferrari",
"Nabil Iqbal"
] |
Poster
|
The notion of duality -- that a given physical system can have two different mathematical descriptions -- is a key idea in modern theoretical physics. Establishing a duality in lattice statistical mechanics models requires the construction of a dual Hamiltonian and a map from the original to the dual observables. By using neural networks to parameterize these maps and introducing a loss function that penalises the difference between correlation functions in original and dual models, we formulate the process of duality discovery as an optimization problem. We numerically solve this problem and show that our framework can rediscover the celebrated Kramers-Wannier duality for the 2d Ising model, numerically reconstructing the known mapping of temperatures. We further investigate the 2d Ising model deformed by a plaquette coupling and find families of ``approximate duals''. We discuss future directions and prospects for discovering new dualities within this framework.
|
Duality, Statistical Mechanics
|
We formulate the discovery of dualities in lattice statistical mechanics as an optimization problem
| 13,182 | null |
[
-0.017272701486945152,
0.002176455222070217,
-0.026124436408281326,
0.0219192523509264,
0.03679794818162918,
0.013695069588720798,
0.011662486009299755,
-0.007377077825367451,
-0.024976147338747978,
-0.04683452472090721,
-0.014446118846535683,
-0.007472347933799028,
-0.0200316421687603,
0.014202925376594067,
0.026178373023867607,
0.06353826075792313,
0.01826733723282814,
-0.03076942078769207,
0.0014263758203014731,
0.013973217457532883,
0.014454970136284828,
-0.007076218258589506,
0.025636453181505203,
0.0241156667470932,
0.011048044078052044,
-0.03490877524018288,
0.03753497079014778,
-0.005581079516559839,
-0.006014114245772362,
0.01775444857776165,
0.041156817227602005,
0.02470994181931019,
0.018939271569252014,
-0.0020774458535015583,
0.02567651867866516,
0.01042588334530592,
-0.03158198669552803,
0.01277237106114626,
0.0004387702501844615,
0.012766562402248383,
-0.006296128500252962,
0.010980318300426006,
0.005870855879038572,
0.03034534677863121,
-0.04373130202293396,
0.01309822779148817,
-0.07256302982568741,
0.03305361792445183,
-0.015038705430924892,
-0.05692166090011597,
-0.05811086669564247,
0.033843666315078735,
0.022946693003177643,
0.010090213268995285,
-0.012696359306573868,
0.027662990614771843,
0.005350126419216394,
-0.013377205468714237,
0.0034635839983820915,
-0.06138520687818527,
-0.01508339960128069,
0.03667490929365158,
-0.005048153921961784,
-0.015419397503137589,
-0.03393686190247536,
-0.016369028016924858,
0.0015025301836431026,
0.0239984430372715,
-0.04695020988583565,
-0.030936390161514282,
-0.03511282429099083,
-0.009886911138892174,
0.022905314341187477,
-0.00985836610198021,
0.019768662750720978,
-0.03643825277686119,
0.014909126795828342,
0.017512284219264984,
0.035314906388521194,
-0.022883133962750435,
-0.02455642819404602,
0.02932090125977993,
0.04773757606744766,
0.046299971640110016,
-0.002099186647683382,
-0.014242698438465595,
-0.07659422606229782,
0.028787078335881233,
-0.06241276487708092,
0.07432657480239868,
-0.010020376183092594,
0.006538232322782278,
0.02356293611228466,
0.06157027184963226,
0.044620271772146225,
0.002928359666839242,
0.04796023294329643,
0.017349697649478912,
-0.0016836316790431738,
0.004698790609836578,
-0.0017970625776797533,
-0.022635668516159058,
0.00939491018652916,
-0.0007714802050031722,
-0.08163286745548248,
-0.02278277650475502,
0.00666241766884923,
0.017642559483647346,
0.00637080566957593,
-0.007660887204110622,
-0.053882576525211334,
-0.02017054334282875,
0.001779727404937148,
-0.001373619888909161,
-0.087913379073143,
0.016947833821177483,
-0.009308869019150734,
0.013830075040459633,
-0.0036517223343253136,
0.01801418513059616,
0.06222480908036232,
0.04485690966248512,
-0.017800860106945038,
0.0675644800066948,
0.032588109374046326,
-0.014512145891785622,
0.03147304058074951,
0.0447235032916069,
-0.03462694212794304,
-0.0437222495675087,
-0.00747023755684495,
0.06947191804647446,
0.0276838019490242,
-0.006289618089795113,
0.022830910980701447,
-0.04038221389055252,
-0.002320718951523304,
0.005795635748654604,
-0.0031290927436202765,
-0.018416300415992737,
-0.008203050121665001,
0.005916273221373558,
0.0667320266366005,
-0.0025858860462903976,
0.06364846229553223,
-0.005715407896786928,
0.01383818220347166,
-0.024129807949066162,
-0.030143121257424355,
-0.005011484492570162,
0.011739452369511127,
-0.0000795209125499241,
-0.028839945793151855,
-0.04404696077108383,
0.022281154990196228,
0.022599071264266968,
0.001881712581962347,
0.053010161966085434,
0.008138168603181839,
-0.008031640201807022,
0.014629371464252472,
-0.008828396908938885,
0.001206237357109785,
0.013057653792202473,
0.025589890778064728,
-0.05665918067097664,
0.056865498423576355,
0.0409221313893795,
-0.03141214698553085,
0.0030102792661637068,
-0.028644567355513573,
-0.01807069405913353,
0.03897868096828461,
-0.00888612400740385,
-0.0248784888535738,
-0.00604136660695076,
0.03413737192749977,
-0.0037131980061531067,
0.04717258736491203,
-0.007393676787614822,
-0.08488023281097412,
0.02919020690023899,
0.03172382712364197,
-0.016802338883280754,
0.029162488877773285,
-0.003184458240866661,
0.06817407160997391,
-0.040357910096645355,
0.030331246554851532,
0.03252251073718071,
-0.04589015245437622,
0.0015554766869172454,
0.038373224437236786,
-0.04094159975647926,
0.05882401019334793,
0.018607350066304207,
-0.025429237633943558,
0.03259116783738136,
0.017881100997328758,
0.00663384422659874,
0.02681555412709713,
0.015865802764892578,
0.051394667476415634,
0.008352535776793957,
-0.02834748476743698,
-0.028330130502581596,
0.08965802192687988,
-0.05769224837422371,
0.005018831696361303,
-0.003946566488593817,
0.01059767697006464,
-0.07623999565839767,
0.009802554734051228,
-0.029481351375579834,
0.035114459693431854,
0.012151411734521389,
0.004595334175974131,
0.006737387273460627,
0.04151521995663643,
-0.011404634453356266,
0.04371778666973114,
0.01817619428038597,
-0.00530144851654768,
-0.01925371214747429,
0.01923501119017601,
0.13234342634677887,
0.09177649021148682,
-0.014618569053709507,
-0.0012034320970997214,
0.03197373449802399,
0.038490455597639084,
0.011209165677428246,
0.03329593315720558,
0.00954153761267662,
0.04247431084513664,
0.02462988719344139,
-0.00014671156532131135,
-0.04255839064717293,
0.05977796018123627,
-0.06723307073116302,
-0.0399584136903286,
0.07493478059768677,
-0.03609209507703781,
0.06747563928365707,
-0.028543848544359207,
0.007630751933902502,
0.057922378182411194,
-0.022742735221982002,
-0.04132327809929848,
-0.02863573655486107,
-0.059157874435186386,
-0.016976606100797653,
0.010503561235964298,
0.03143729642033577,
0.005942652467638254,
-0.05627156049013138,
-0.017209811136126518,
0.014587209559977055,
0.09181687980890274,
0.04174889251589775,
0.00027683028019964695,
-0.005467467475682497,
-0.024378247559070587,
-0.04361840710043907,
-0.0542159304022789,
-0.0990348607301712,
-0.041423797607421875,
0.013990944251418114,
0.018112938851118088,
0.014677321538329124,
0.0349523089826107,
-0.018789222463965416,
0.02354622073471546,
-0.008629808202385902,
-0.03235749155282974,
-0.004081265069544315,
0.030120106413960457,
0.0080586401745677,
-0.039030469954013824,
-0.025596102699637413,
0.028695110231637955,
0.07063081860542297,
0.02088821493089199,
-0.06632477790117264,
-0.0041040219366550446,
-0.09149447828531265,
-0.037515949457883835,
-0.04371725767850876,
-0.003242130856961012,
-0.01648939773440361,
0.0038340555038303137,
0.00470842095091939,
0.02550748735666275,
-0.004243365488946438,
0.014234350994229317,
0.04343435913324356,
0.03897694870829582,
0.01757281832396984,
0.030479995533823967,
-0.012094549834728241,
-0.0135261882096529,
-0.02078758366405964,
-0.03804545849561691,
0.022503959015011787,
0.026242399588227272,
-0.007035945542156696,
0.021928491070866585,
0.011605719104409218,
-0.27430659532546997,
-0.03239213675260544,
0.02430552802979946,
-0.018571697175502777,
0.02611475996673107,
-0.014245749451220036,
0.05734849348664284,
-0.03659692406654358,
-0.012516896240413189,
-0.009078352712094784,
-0.015443850308656693,
0.02237727865576744,
-0.03962675482034683,
0.05584155395627022,
0.05262182652950287,
0.01179419830441475,
-0.011845680885016918,
-0.016002153977751732,
0.011319741606712341,
0.016917962580919266,
-0.03602463752031326,
-0.045196786522865295,
-0.047400932759046555,
0.007878431119024754,
-0.007865427993237972,
0.04421742632985115,
-0.061145611107349396,
0.0004969121655449271,
-0.042618006467819214,
-0.002553545171394944,
-0.057982880622148514,
-0.022187942638993263,
-0.003928443416953087,
0.010212303139269352,
0.028894148766994476,
-0.029144512489438057,
0.03237328305840492,
-0.012010892853140831,
-0.022821292281150818,
0.05033835023641586,
-0.017966901883482933,
0.008737282827496529,
-0.03528854250907898,
0.020064162090420723,
0.064588263630867,
0.030535822734236717,
0.012792907655239105,
0.0037235079798847437,
-0.021286895498633385,
0.022882217541337013,
-0.028574064373970032,
-0.02933426760137081,
0.026895172894001007,
-0.03202541917562485,
0.0010621438268572092,
-0.007029888220131397,
-0.012383534573018551,
0.0061508179642260075,
0.0014944153372198343,
-0.021626397967338562,
-0.024202153086662292,
-0.060669347643852234,
0.018991952762007713,
-0.004875204525887966,
-0.01013717520982027,
-0.039875198155641556,
-0.09581268578767776,
-0.045975327491760254,
0.08528377115726471,
0.04458846151828766,
-0.013494378887116909,
-0.009085195139050484,
-0.038581039756536484,
-0.07973437756299973,
0.035942938178777695,
-0.003967106342315674,
-0.006331592332571745,
-0.042784433811903,
0.01316727977246046,
0.02831888198852539,
-0.044785723090171814,
-0.017453862354159355,
-0.016212180256843567,
0.05266056954860687,
0.04280412569642067,
-0.021509408950805664,
-0.006054093595594168,
-0.022533055394887924,
-0.03466538339853287,
-0.029038701206445694,
0.011292310431599617,
-0.007795960176736116,
0.040250588208436966,
0.01905764453113079,
0.045950356870889664,
-0.0018602950731292367,
0.012859435752034187,
0.0016836795257404447,
0.025280138477683067,
-0.014336375519633293,
0.02859097719192505,
-0.1034291684627533,
-0.004643858876079321,
-0.040291983634233475,
-0.008843034505844116,
0.020815914496779442,
-0.03991860896348953,
0.005942584481090307,
0.049006931483745575,
0.015615848824381828,
-0.029563117772340775,
-0.05072171241044998,
-0.012707878835499287,
-0.013164786621928215,
-0.003916616551578045,
-0.014712881296873093,
-0.015593665651977062,
0.02991657890379429,
0.04442580044269562,
-0.007076791487634182,
-0.04209904000163078,
0.04707803204655647,
-0.05344771221280098,
-0.008194048888981342,
-0.05892809480428696,
0.007973730564117432,
0.0159579049795866,
-0.04742349311709404,
0.0037443325854837894,
-0.04932254180312157,
0.01823895238339901,
0.016684019938111305,
0.013224579393863678,
0.01241501234471798,
0.05185433849692345,
0.03823504224419594,
-0.02954830974340439,
-0.045363351702690125,
0.0076497700065374374,
-0.038026362657547,
0.07589463144540787,
-0.02274673618376255,
0.07198262214660645,
-0.028537724167108536,
0.018400421366095543,
0.03161562606692314,
0.01624990440905094,
0.008562651462852955,
-0.02620495855808258,
-0.005608920939266682,
0.011343518272042274,
-0.002192969899624586,
0.004654691554605961,
-0.011281011626124382,
-0.030214523896574974,
0.007016496732831001,
0.049836378544569016,
0.019805585965514183,
0.018291916698217392,
-0.07139436155557632,
0.06141214072704315,
0.049779124557971954,
-0.01622658222913742,
-0.00493904622271657,
0.016242504119873047,
0.06075531616806984,
-0.041041675955057144,
0.022032788023352623,
0.02893894910812378,
0.039034653455019,
0.016034796833992004,
-0.03865095227956772,
-0.034293968230485916,
-0.018079396337270737,
-0.02435896545648575,
0.010462856851518154,
0.04015558212995529,
-0.04143426567316055,
-0.02424556016921997,
-0.027372147887945175,
0.021827304735779762,
-0.014642098918557167,
-0.009915045462548733,
0.01079677976667881,
0.05189783126115799,
0.008878020569682121,
0.020857669413089752,
-0.02542194537818432,
0.008759960532188416,
0.016019225120544434,
0.011864847503602505,
0.015355479903519154,
-0.022709157317876816,
-0.018390312790870667,
-0.01450208481401205,
-0.03329063206911087,
-0.01654181256890297,
0.010733146220445633,
-0.028595972806215286,
0.0003716695646289736,
0.03005291149020195,
0.01456450205296278,
-0.03851266950368881,
0.018015507608652115,
0.05106368288397789,
-0.054280590265989304,
0.01440163142979145,
0.00998255331069231,
-0.010055135935544968,
0.01320007536560297,
-0.04795984551310539,
-0.03564634919166565,
-0.04783577099442482,
0.027310194447636604,
0.016905637457966805,
0.006162203382700682,
0.025248976424336433,
-0.012018541805446148,
0.017132660374045372,
-0.015851503238081932,
-0.00036326341796666384,
0.01838783733546734,
0.03229830041527748,
-0.05733871087431908,
-0.017988622188568115,
0.05456061288714409,
0.015584569424390793,
0.0066042267717421055,
0.0030797121580690145,
-0.03767639026045799,
0.015974903479218483,
-0.05275629833340645,
-0.02345266193151474,
0.024879449978470802,
-0.008146082051098347,
-0.03115639090538025,
-0.03441249951720238,
-0.002193497261032462,
-0.009361203759908676,
-0.034304432570934296,
-0.0067688156850636005,
-0.0014963357243686914,
-0.025712044909596443,
-0.025400830432772636,
-0.021428467705845833,
0.020296959206461906,
0.024922708049416542,
0.0020705051720142365,
0.007589544635266066,
0.0019476880552247167,
0.007076696492731571,
-0.034035976976156235,
-0.06828968971967697,
-0.006878754589706659,
0.06216784194111824,
0.029507432132959366,
-0.05006999149918556,
-0.07738765329122543,
0.0077166445553302765,
0.0037911375984549522,
-0.05910879746079445,
0.0037402634043246508,
-0.031018469482660294,
0.01168792974203825,
0.004643545486032963,
0.037505295127630234,
-0.006060770712792873,
-0.040707409381866455,
0.06760649383068085,
-0.07463062554597855,
-0.003995934501290321,
-0.07179658859968185,
-0.011699476279318333,
0.028257736936211586,
-0.0020900394301861525,
0.03427337482571602,
-0.015291974879801273,
-0.026649484410881996,
0.026681212708353996,
-0.03667470067739487,
-0.05914849042892456,
0.00600002147257328,
-0.008912631310522556,
0.007532880175858736,
0.05728328600525856,
-0.0409545935690403,
-0.014237135648727417,
-0.003152937162667513,
-0.059038978070020676,
0.026701001450419426,
-0.0029419627971947193,
0.023136280477046967,
0.010616430081427097,
-0.04239216819405556,
0.01180081907659769,
0.00756817078217864,
0.013147088699042797,
0.06788279116153717,
0.048635050654411316,
0.029985422268509865,
-0.045006055384874344,
0.0523412749171257,
0.03622078150510788,
-0.009755555540323257,
0.013416132889688015,
0.03708468750119209,
-0.02135108970105648,
-0.051345545798540115,
0.009624582715332508,
0.01103273220360279,
0.025959398597478867,
-0.06195111945271492,
0.01870369352400303,
-0.0042444756254553795,
-0.0642601028084755,
0.002886964473873377,
0.025067247450351715,
-0.06164345145225525,
0.012189198285341263,
0.030537860468029976,
0.002403727499768138,
0.01630007103085518,
0.07590045779943466,
-0.019626645371317863,
0.04692317917943001,
0.06171981990337372,
0.02356801927089691,
-0.01525440439581871,
-0.053256742656230927,
0.08099476248025894,
0.04884882643818855,
0.011718345806002617,
0.006621994078159332,
0.047694019973278046,
-0.07138229161500931,
-0.05096945911645889,
0.008101893588900566,
0.01445035170763731,
-0.016807936131954193,
0.0017623869935050607,
0.00830209068953991,
0.08221405744552612,
-0.02392405830323696,
0.0807126834988594,
-0.03587469458580017,
-0.0015283591346815228,
0.04438692331314087,
0.01343910675495863,
0.008520561270415783,
0.02426128461956978,
0.0035409838892519474,
0.007503913249820471,
-0.0028399829752743244,
-0.05982455238699913,
-0.00410599447786808,
-0.012056760489940643,
0.05375275760889053,
-0.011864855885505676,
-0.015020609833300114,
-0.0014527041930705309,
0.01889832317829132,
0.07316350936889648,
0.10581223666667938,
-0.017428213730454445,
-0.03674272820353508,
-0.01183121558278799,
0.032753970474004745,
-0.006495868321508169,
0.009359698742628098,
-0.03328881785273552,
-0.018896285444498062,
-0.038467224687337875,
-0.04051903262734413,
0.0346507765352726,
0.02154252491891384,
-0.022001711651682854,
0.021413424983620644,
-0.026415914297103882,
-0.013130581006407738,
0.015394431538879871,
0.04777839779853821,
-0.008613712154328823,
-0.06351558119058609,
-0.04604257643222809,
-0.0010717364493757486,
-0.07522513717412949,
-0.05576768144965172,
0.026522379368543625,
-0.016717439517378807,
-0.022091222926974297,
0.0403587780892849,
-0.008890832774341106,
0.033551763743162155,
0.005056614056229591,
-0.05050245299935341,
-0.03753233700990677,
0.054281797260046005,
0.018826987594366074,
0.03337009251117706,
0.054052527993917465,
0.05113302916288376,
-0.028944864869117737,
-0.032250385731458664,
0.0471130795776844,
-0.02623012475669384,
0.05902767553925514,
-0.037077371031045914,
0.00012428761692717671,
-0.10844199359416962,
0.03530559688806534,
0.012026033364236355,
-0.09041255712509155,
-0.08057009428739548,
0.02753598801791668,
-0.022090286016464233,
-0.010049670934677124,
0.03917858749628067,
-0.0032454021275043488,
-0.017986468970775604,
-0.016117164865136147,
-0.018542909994721413,
-0.03047598898410797,
0.013625966385006905,
0.0754799023270607,
-0.02763662487268448,
0.04506411403417587,
0.02926727384328842,
-0.02392001636326313,
-0.03427095711231232,
0.006116984412074089,
-0.009762793779373169,
0.009902451187372208,
-0.049331184476614,
-0.007173480931669474,
-0.019958188757300377,
-0.10287044197320938,
-0.01965346373617649,
0.04677622765302658,
-0.033013325184583664,
-0.021401021629571915,
0.010923461988568306,
0.0014668249059468508,
-0.02229142189025879,
-0.015080085955560207,
-0.019600290805101395,
-0.020736075937747955,
-0.044147077947854996,
-0.01740967482328415,
-0.05760251358151436,
0.016404591500759125,
-0.0037739616818726063,
-0.009270083159208298,
-0.02306111715734005,
-0.03711403161287308,
0.019936811178922653,
-0.04113643243908882,
0.023624615743756294,
0.021885918453335762,
0.0039235493168234825,
0.006958343554288149
] |
https://github.com/pg2455/physics_duality
|
542 |
Resolving Lexical Bias in Model Editing
|
https://openreview.net/forum?id=aPm6SfcMWQ
|
[
"Hammad Rizwan",
"Domenic Rosati",
"Ga Wu",
"Hassan Sajjad"
] |
Poster
|
Model editing aims to modify the outputs of large language models after they are trained. Previous approaches have often involved direct alterations to model weights, which can result in model degradation. Recent techniques avoid making modifications to the model's weights by using an adapter that applies edits to the model when triggered by semantic similarity in the representation space. We demonstrate that current adapter methods are *critically vulnerable* to strong lexical biases, leading to issues such as applying edits to irrelevant prompts with overlapping words. This paper presents a principled approach to learning a disentangled representation space that facilitates precise localization of edits by maintaining distance between irrelevant prompts while preserving proximity among paraphrases. In our empirical study, we show that our method (Projector Editor Networks for Model Editing - PENME) achieves state-of-the-art model editing results while being more computationally efficient during inference than previous methods and adaptable across different architectures.
|
Model Editing, Contrastive Learning, Representation Learning
|
PENME tackles the critical vulnerability of model editing techniques by learning a representation space that prevents erroneous edit retrival based on representation similarities.
| 13,175 |
2408.10411
|
[
-0.03932032734155655,
-0.009883427061140537,
-0.03399428352713585,
0.05507903918623924,
0.05022888258099556,
0.03917698562145233,
0.024786990135908127,
0.0250038243830204,
-0.037262674421072006,
-0.026923812925815582,
-0.021652648225426674,
0.04810047894716263,
-0.057335302233695984,
-0.020456215366721153,
-0.025643976405262947,
0.0570392906665802,
0.0025797218549996614,
-0.0025101834908127785,
0.019759012386202812,
0.020639410242438316,
0.030812732875347137,
-0.004926728550344706,
0.04065028205513954,
-0.0074004800990223885,
0.00741993822157383,
0.02566828578710556,
0.023570451885461807,
-0.029647743329405785,
-0.024012386798858643,
-0.007859819568693638,
0.0433492437005043,
0.002287600887939334,
-0.0011572350049391389,
-0.02293667383491993,
-0.0069643971510231495,
-0.012090849690139294,
-0.06825646758079529,
0.013149568811058998,
0.016196629032492638,
0.02187916822731495,
-0.03858942911028862,
0.0410846546292305,
-0.012619348242878914,
0.002425552112981677,
-0.05593625456094742,
-0.014661779627203941,
-0.12173300981521606,
0.028702430427074432,
-0.024047808721661568,
-0.05634721368551254,
-0.14169807732105255,
0.03881741687655449,
0.03222448751330376,
-0.01277281902730465,
-0.007596525363624096,
0.05447801947593689,
0.053718794137239456,
-0.1046081930398941,
0.002254335442557931,
-0.02575553208589554,
-0.05795936658978462,
0.02637059986591339,
0.011574499309062958,
0.028460383415222168,
0.017404310405254364,
-0.03287092223763466,
-0.02298819273710251,
0.018091101199388504,
-0.04551129415631294,
-0.04719823598861694,
-0.014402502216398716,
0.0035960942041128874,
-0.00740349106490612,
0.0008100057020783424,
0.025991659611463547,
-0.06649961322546005,
0.02161698043346405,
0.04638109356164932,
0.07942244410514832,
0.00955810584127903,
0.008549033664166927,
-0.025545230135321617,
0.03438781946897507,
0.04297512769699097,
0.037918779999017715,
0.003966261632740498,
-0.04760558530688286,
-0.027879176661372185,
-0.04189617559313774,
-0.004459438379853964,
-0.0034817932173609734,
-0.07511340826749802,
0.044325534254312515,
0.003965585958212614,
0.006593226455152035,
0.028359051793813705,
0.028896218165755272,
0.02440895140171051,
0.0054089087061584,
0.044278986752033234,
-0.031185254454612732,
-0.04497895389795303,
0.019681913778185844,
0.03260405734181404,
-0.10911624133586884,
-0.03793151676654816,
-0.020096763968467712,
-0.01665828749537468,
-0.028618277981877327,
-0.0044417064636945724,
-0.010079204104840755,
0.010530979372560978,
0.005628114100545645,
-0.03335808590054512,
-0.07727104425430298,
0.0002627895155455917,
0.00562875485047698,
0.0372634194791317,
0.014482390135526657,
0.02465413510799408,
0.023271534591913223,
0.025679882615804672,
0.04565543681383133,
0.09623045474290848,
-0.028175147250294685,
0.025203043594956398,
0.008633555844426155,
0.022539976984262466,
-0.043763477355241776,
-0.05328844487667084,
0.01833019219338894,
0.04330312833189964,
-0.03895801678299904,
-0.003838117467239499,
0.018505267798900604,
-0.027758389711380005,
0.015679555013775826,
0.0005466801230795681,
0.044445235282182693,
0.005725731607526541,
-0.0022715330123901367,
0.0032679776195436716,
0.03776048868894577,
0.006429904140532017,
0.041165634989738464,
-0.001160158310085535,
-0.039436742663383484,
-0.026179080829024315,
-0.012274613603949547,
0.020093632861971855,
0.023959700018167496,
0.01936477981507778,
-0.0012809858890250325,
-0.033843107521533966,
0.044170722365379333,
0.05679646134376526,
0.0026905201375484467,
0.027412567287683487,
-0.009669274091720581,
0.025052407756447792,
0.011466233991086483,
-0.023965490981936455,
-0.041011009365320206,
0.0050506591796875,
-0.02708670310676098,
-0.055015742778778076,
0.007685357704758644,
0.0000034879683425970143,
-0.021894048899412155,
-0.005807500798255205,
-0.029568776488304138,
-0.032064735889434814,
0.07124411314725876,
-0.05257878452539444,
-0.020132562145590782,
0.008056123740971088,
0.058776017278432846,
0.04547087475657463,
0.04584530368447304,
0.039768025279045105,
-0.06777657568454742,
-0.011539504863321781,
-0.020725036039948463,
-0.0012973680859431624,
0.025576481595635414,
-0.010309204459190369,
0.06419416517019272,
-0.00929788127541542,
0.004614060744643211,
0.03045356459915638,
-0.09645013511180878,
-0.03315582871437073,
0.03513331711292267,
-0.016426658257842064,
0.08506119251251221,
0.020473448559641838,
-0.0062164487317204475,
0.033090729266405106,
0.019325479865074158,
0.035606734454631805,
0.06107188016176224,
0.001063705189153552,
0.035769104957580566,
-0.022942597046494484,
-0.03169994428753853,
-0.03133372589945793,
0.032723017036914825,
-0.03205540403723717,
-0.07864212989807129,
0.03873167559504509,
-0.04897347837686539,
0.012573725543916225,
0.03943057358264923,
-0.010947152972221375,
0.00016510086425114423,
-0.004541862290352583,
-0.000841170665808022,
-0.01162110734730959,
-0.013465510681271553,
-0.062485549598932266,
0.0492267906665802,
0.024786293506622314,
-0.022339163348078728,
-0.032176025211811066,
-0.016442470252513885,
0.09963499009609222,
0.05853671580553055,
-0.02052949368953705,
-0.01555519551038742,
0.013421038165688515,
0.021136797964572906,
-0.012343382462859154,
0.006667311768978834,
-0.037228912115097046,
0.007579263299703598,
-0.0303405299782753,
-0.02539583295583725,
-0.02096896804869175,
0.043893832713365555,
-0.028003547340631485,
0.0003360995324328542,
0.07658328115940094,
-0.030889058485627174,
0.02682552859187126,
-0.008235921151936054,
0.049623042345047,
0.03497498482465744,
-0.022550128400325775,
-0.045316431671381,
-0.0008679044549353421,
0.0017675260314717889,
0.011113591492176056,
-0.0047384705394506454,
-0.0376766212284565,
0.007734406739473343,
-0.018408361822366714,
-0.01494900044053793,
-0.0070733134634792805,
0.0759129524230957,
0.05434514954686165,
0.007908770814538002,
-0.0009307162836194038,
-0.014591711573302746,
-0.046355120837688446,
0.026929331943392754,
-0.09342918545007706,
-0.011475889943540096,
-0.015403177589178085,
0.013675594702363014,
-0.016438866034150124,
0.055273670703172684,
0.012108400464057922,
0.01713479310274124,
-0.05478967726230621,
0.00847583170980215,
0.013759180903434753,
0.02612479031085968,
0.01583598181605339,
-0.044603265821933746,
-0.02018897235393524,
-0.01501707173883915,
0.04021710157394409,
-0.03478867560625076,
-0.00571329053491354,
-0.013570616021752357,
-0.043444689363241196,
-0.020109843462705612,
-0.02213931269943714,
-0.014081698842346668,
0.002477568807080388,
0.0277240127325058,
-0.007855108007788658,
-0.022648802027106285,
-0.017094053328037262,
0.01985609531402588,
0.046385206282138824,
0.030450349673628807,
-0.007177708204835653,
-0.01971273683011532,
0.019143121317029,
-0.013305963948369026,
0.061067719012498856,
-0.009180206805467606,
0.030111374333500862,
0.0037590342108160257,
0.027575023472309113,
0.029117120429873466,
-0.02164669893682003,
-0.2473517507314682,
0.004972083028405905,
0.0021600318141281605,
-0.018104566261172295,
0.03853277489542961,
-0.005164807662367821,
0.040478527545928955,
-0.01966197043657303,
-0.018586857244372368,
0.0032264660112559795,
-0.004927239380776882,
0.02146322838962078,
0.012947993353009224,
0.04612942039966583,
0.04377872869372368,
0.04773064702749252,
-0.0012538367882370949,
-0.04368036240339279,
-0.00009523615153739229,
0.01220114715397358,
0.015576384961605072,
-0.04839012399315834,
-0.029509227722883224,
0.05485779047012329,
0.004783213138580322,
0.039563070982694626,
-0.06046058237552643,
0.0003287226427346468,
-0.05376094579696655,
-0.021078908815979958,
-0.01847659796476364,
-0.02357042022049427,
-0.0005804838729090989,
0.02909264527261257,
-0.006528371479362249,
0.006856959778815508,
0.026727255433797836,
0.036426886916160583,
0.02872789092361927,
0.006941376719623804,
0.004868640564382076,
-0.021979566663503647,
0.025193560868501663,
-0.021963628008961678,
0.04607488587498665,
-0.011803618632256985,
-0.04367787018418312,
-0.014064250513911247,
-0.046545904129743576,
0.035983387380838394,
0.015400616452097893,
-0.037302058190107346,
0.028489477932453156,
0.04328269138932228,
0.023143164813518524,
-0.03753666207194328,
0.05005362629890442,
-0.01367658656090498,
-0.009046229533851147,
0.00030836756923235953,
0.00854459498077631,
-0.06039153039455414,
-0.004140619654208422,
-0.031048405915498734,
-0.03478798642754555,
-0.039948996156454086,
-0.0687519907951355,
-0.06544598937034607,
0.022486401721835136,
0.05582346394658089,
-0.04201388731598854,
0.035320356488227844,
0.0263141430914402,
-0.08791601657867432,
0.012720614671707153,
-0.012123952619731426,
-0.008181852288544178,
-0.02882452681660652,
-0.005239360500127077,
0.008767019957304,
-0.04998151585459709,
-0.027297187596559525,
0.0008282898925244808,
0.00944969430565834,
0.008199415169656277,
-0.04479481279850006,
0.019741177558898926,
-0.06691626459360123,
-0.044453371316194534,
-0.026331912726163864,
0.013192604295909405,
0.006830104161053896,
0.023306621238589287,
0.01708826795220375,
0.013386910781264305,
0.026049675419926643,
0.037320222705602646,
0.052327629178762436,
0.06274531036615372,
0.0037293771747499704,
0.0041582114063203335,
-0.08852873742580414,
-0.00804257020354271,
-0.03971699997782707,
0.004943465813994408,
0.03596408665180206,
-0.06179453432559967,
-0.04298622906208038,
0.040839001536369324,
-0.025265570729970932,
-0.024669069796800613,
-0.01452716439962387,
0.0016349402721971273,
-0.011080104857683182,
-0.03535845875740051,
0.006631440483033657,
0.005731035023927689,
0.041325297206640244,
0.021853826940059662,
-0.02732197195291519,
-0.031714536249637604,
0.0512823723256588,
-0.04456600174307823,
0.01028971467167139,
-0.006844383664429188,
-0.028324229642748833,
0.0221799835562706,
0.01070273108780384,
-0.016913598403334618,
0.017351476475596428,
0.02021906152367592,
0.04867095127701759,
-0.028873950242996216,
0.00809249747544527,
0.04698769748210907,
0.012443400919437408,
0.010618669912219048,
0.0028787434566766024,
0.00201084790751338,
0.005994725506752729,
-0.008933241479098797,
-0.005729454569518566,
0.0013555154437199235,
0.009696858935058117,
0.03191441670060158,
0.006011959630995989,
0.03935818001627922,
0.00004475878813536838,
0.013048368506133556,
0.017914772033691406,
0.03323504701256752,
-0.02741253189742565,
-0.026600133627653122,
-0.04892178252339363,
0.028810176998376846,
-0.005894933827221394,
0.013630512170493603,
-0.0437789261341095,
0.03584769368171692,
-0.0540173314511776,
0.03536268696188927,
0.025356216356158257,
-0.027265449985861778,
0.012580369599163532,
-0.0038329535163939,
0.02594348043203354,
-0.013632419519126415,
0.005927728954702616,
0.013051559217274189,
0.017531679943203926,
0.011055003851652145,
-0.0015301984967663884,
-0.034451499581336975,
0.01213771477341652,
-0.004959264770150185,
0.008730885572731495,
0.016658365726470947,
0.002503401832655072,
-0.034288644790649414,
0.037890784442424774,
0.026952840387821198,
-0.0216035395860672,
0.02981407195329666,
0.020253486931324005,
0.0594034306704998,
-0.0033890982158482075,
0.024142790585756302,
-0.003946013282984495,
-0.009317811578512192,
0.006577065214514732,
-0.03602665662765503,
0.03404953330755234,
-0.04001779109239578,
-0.04933549463748932,
-0.058333221822977066,
-0.02788403071463108,
-0.002498932182788849,
-0.004525310825556517,
-0.014861749485135078,
-0.020272323861718178,
-0.017649468034505844,
0.0030140846502035856,
-0.045160166919231415,
-0.025070343166589737,
0.034714024513959885,
-0.10194390267133713,
0.014021378941833973,
0.01554710790514946,
-0.019057970494031906,
0.0317375585436821,
-0.032483261078596115,
-0.02000923454761505,
-0.07109693437814713,
-0.014328667894005775,
0.021862130612134933,
-0.018476800993084908,
-0.01569809578359127,
-0.02845217101275921,
-0.007181270979344845,
-0.00003214408934582025,
0.03823354095220566,
0.00006910365482326597,
-0.01606833189725876,
-0.014198149554431438,
0.01397641934454441,
0.018045872449874878,
-0.025644883513450623,
-0.0017818601336330175,
0.0042106411419808865,
-0.03423411026597023,
0.0177598986774683,
-0.0518532358109951,
0.03463831916451454,
0.04336349666118622,
0.020072992891073227,
-0.02266637422144413,
-0.03557192534208298,
0.022387584671378136,
-0.006575883366167545,
-0.020538758486509323,
0.04792340472340584,
-0.012670373544096947,
-0.02959507144987583,
0.04797908663749695,
-0.0033650530967861414,
0.028391465544700623,
-0.002306150970980525,
-0.014531809836626053,
-0.04214968532323837,
0.00870544370263815,
0.03928562253713608,
0.01839098334312439,
-0.0450524240732193,
0.04005305841565132,
0.05963587760925293,
-0.04170944541692734,
-0.037049323320388794,
-0.037187833338975906,
-0.050471674650907516,
0.03089909814298153,
-0.00403385516256094,
0.051315151154994965,
-0.027067769318819046,
0.06548932194709778,
0.03676282986998558,
0.012293223291635513,
0.005681917071342468,
0.012661689892411232,
0.0065053245052695274,
-0.00542469322681427,
-0.02517884597182274,
-0.06812237203121185,
-0.02244933508336544,
0.07879579812288284,
-0.03578318655490875,
0.017329085618257523,
-0.0048209805972874165,
-0.05192486569285393,
0.04449090361595154,
-0.019118918105959892,
-0.05782686173915863,
0.007579687517136335,
0.006607494782656431,
-0.004300115164369345,
0.04050253704190254,
-0.042972393333911896,
0.004674733150750399,
-0.008348364382982254,
-0.034482311457395554,
-0.01656319573521614,
0.003641582792624831,
0.07075795531272888,
-0.049640875309705734,
0.01704190857708454,
-0.016038119792938232,
0.003711497178301215,
0.023002488538622856,
0.07269986718893051,
0.033750735223293304,
0.04014457389712334,
-0.030135391280055046,
0.03278273344039917,
0.031637247651815414,
0.008395249024033546,
-0.009001098573207855,
0.019917456433176994,
-0.01621677726507187,
-0.048035942018032074,
0.06251505762338638,
0.040388282388448715,
-0.017722904682159424,
-0.0588383711874485,
0.06217880919575691,
0.03207891806960106,
-0.02023422345519066,
-0.03325153514742851,
0.02145959436893463,
-0.044206853955984116,
0.015423884615302086,
-0.017715202644467354,
0.004390450660139322,
-0.013468997552990913,
0.05170247703790665,
0.020932577550411224,
0.039420727640390396,
0.0692511573433876,
0.01301437709480524,
0.022604594007134438,
-0.010074249468743801,
0.06609020382165909,
0.09778675436973572,
0.07143321633338928,
0.02624993398785591,
0.05732819065451622,
-0.03350759297609329,
-0.036086831241846085,
0.020782291889190674,
0.021373538300395012,
-0.011784674599766731,
-0.0696648359298706,
-0.004036585800349712,
0.08355437964200974,
0.0026432513259351254,
0.034519013017416,
-0.035918597131967545,
-0.015603473410010338,
0.02436964400112629,
0.014144320040941238,
-0.005364364944398403,
0.03913280740380287,
0.03607815131545067,
-0.009999839588999748,
-0.03774252533912659,
-0.040069010108709335,
0.004263435024768114,
-0.04222060367465019,
0.01594158448278904,
0.0174946878105402,
-0.035677116364240646,
-0.00022039491159375757,
-0.0051256027072668076,
0.06962155550718307,
0.1068468987941742,
-0.04838009923696518,
-0.030048398301005363,
0.03372100368142128,
0.013456497341394424,
0.02166575752198696,
0.06095457822084427,
-0.0018761790124699473,
-0.0217201579362154,
-0.0016969272401183844,
-0.04036380723118782,
-0.013677414506673813,
0.01605483517050743,
-0.02395719476044178,
0.022604258731007576,
-0.03369569033384323,
-0.008705371990799904,
0.0006463304162025452,
0.04670187830924988,
-0.04461972787976265,
-0.06361144036054611,
-0.02039347030222416,
-0.0567416213452816,
-0.03860512748360634,
-0.009916519746184349,
0.02195001021027565,
-0.022670572623610497,
-0.01888692006468773,
0.013139198534190655,
-0.07495924085378647,
0.00247769127599895,
0.01074904389679432,
-0.06870494037866592,
-0.00004467767212190665,
0.012730876915156841,
0.003364614211022854,
-0.05026952922344208,
0.04852594807744026,
-0.001886826823465526,
-0.01454076450318098,
-0.004725917708128691,
0.05098968744277954,
0.03813377767801285,
0.03234086185693741,
0.006564738694578409,
-0.012554091401398182,
-0.08744613081216812,
0.01511562429368496,
0.0270752664655447,
-0.022763164713978767,
-0.0929533988237381,
0.040132638067007065,
0.020477648824453354,
0.020327068865299225,
0.06542012840509415,
0.050036754459142685,
0.025160644203424454,
0.006317505147308111,
0.028255024924874306,
-0.011195218190550804,
0.0018208019901067019,
0.02526574768126011,
-0.03433827683329582,
0.08228036016225815,
0.041808634996414185,
-0.012134616263210773,
-0.051023777574300766,
0.00010519498027861118,
0.002680654637515545,
-0.003653252264484763,
-0.04221586510539055,
-0.02064649388194084,
-0.020540690049529076,
-0.0926566943526268,
-0.018481269478797913,
0.017457900568842888,
-0.02133815363049507,
-0.05879805609583855,
-0.007084836717694998,
-0.017644276842474937,
-0.06289665400981903,
0.00006633374141529202,
-0.007329526823014021,
-0.011969774961471558,
-0.03603290021419525,
0.014445059932768345,
-0.05930665507912636,
0.01502983458340168,
-0.015345761552453041,
0.006094804033637047,
-0.05468875169754028,
-0.060618918389081955,
0.02403009496629238,
-0.0003849610220640898,
0.04405619576573372,
-0.03923406824469566,
0.05204879865050316,
-0.00763213774189353
] |
https://github.com/hammadrizwan/PENME
|
543 |
Adaptive Elicitation of Latent Information Using Natural Language
|
https://openreview.net/forum?id=I7N6vtUChM
|
[
"Jimmy Wang",
"Thomas P Zollo",
"Richard Zemel",
"Hongseok Namkoong"
] |
Poster
|
Eliciting information to reduce uncertainty about a latent entity is a critical task in many application domains, e.g., assessing individual student learning outcomes, diagnosing underlying diseases, or learning user preferences. Though natural language is a powerful medium for this purpose, large language models (LLMs) and existing fine-tuning algorithms lack mechanisms for strategically gathering information to refine their own understanding of the latent entity. To harness the generalization power and world knowledge of LLMs in developing effective information-gathering strategies, we propose an adaptive elicitation framework that actively reduces uncertainty on the latent entity. Since probabilistic modeling of an abstract latent entity is difficult, our framework adopts a predictive view of uncertainty, using a meta-learned language model to simulate future observations and enable scalable uncertainty quantification over complex natural language. Through autoregressive forward simulation, our model quantifies how new questions reduce epistemic uncertainty, enabling the development of sophisticated information-gathering strategies to choose the most informative next queries. In experiments on the 20 questions game, dynamic opinion polling, and adaptive student assessment, our method consistently outperforms baselines in identifying critical unknowns and improving downstream predictions, illustrating the promise of strategic information gathering in natural language settings.
|
Uncertainty Quantification, Natural Language, Adaptive Survey Design
|
We introduce a novel meta-learning and planning algorithm that can use LLMs to quantify uncertainty over natural language inputs, and ask questions to elicit information that reduces this uncertainty.
| 13,154 |
2504.04204
|
[
-0.010622238740324974,
-0.04062516987323761,
-0.0019191385945305228,
0.037202730774879456,
0.04793447628617287,
0.009227764792740345,
0.016769252717494965,
0.030689410865306854,
-0.03551749512553215,
-0.010422871448099613,
-0.050971172749996185,
0.04459076374769211,
-0.03993343934416771,
-0.0030316158663481474,
0.005204157438129187,
0.05320589989423752,
0.023350650444626808,
0.012501107528805733,
0.01805795356631279,
0.0018352660117670894,
-0.03249184042215347,
-0.014570964500308037,
0.02116895094513893,
-0.009854786098003387,
0.0625990629196167,
0.024851355701684952,
0.02730201743543148,
-0.0024155075661838055,
-0.01158065628260374,
0.007306929677724838,
0.02965007908642292,
-0.03555220738053322,
0.005788994021713734,
0.0027501850854605436,
-0.017228709533810616,
-0.0012966253561899066,
-0.02138795331120491,
0.018099848181009293,
0.0012540762545540929,
0.018229257315397263,
-0.04993626847863197,
0.026885181665420532,
-0.02393762581050396,
0.015202045440673828,
-0.054102152585983276,
-0.016246972605586052,
-0.09279360622167587,
0.03377247974276543,
0.01382640190422535,
-0.017331305891275406,
-0.11855023354291916,
0.020858854055404663,
-0.01062900759279728,
-0.03580634668469429,
-0.012531408108770847,
0.05122443661093712,
0.0700339823961258,
-0.10916608572006226,
-0.01633920893073082,
-0.02835223078727722,
-0.03569471091032028,
0.015818223357200623,
0.013801684603095055,
-0.015568356029689312,
0.0005268531385809183,
-0.03817064315080643,
-0.005517452489584684,
0.05771822854876518,
-0.06783100217580795,
-0.01278079766780138,
-0.045329779386520386,
0.024643272161483765,
-0.005425271578133106,
0.004704262129962444,
0.01336987316608429,
-0.031612977385520935,
0.03562537208199501,
0.06076384335756302,
0.03029802069067955,
-0.0002997079282067716,
-0.024876870214939117,
0.009819602593779564,
0.025972159579396248,
0.013213220052421093,
0.02911684848368168,
0.004466605372726917,
-0.014671240001916885,
-0.02344348654150963,
-0.06419705599546432,
0.00878416933119297,
-0.0023176483809947968,
-0.08358287066221237,
-0.005558748729526997,
0.01833580806851387,
0.01373731903731823,
0.014227919280529022,
0.05268416553735733,
-0.015345749445259571,
-0.04115843027830124,
0.0015029871137812734,
-0.025350885465741158,
-0.0063626933842897415,
0.06335880607366562,
-0.004115957301110029,
-0.12877611815929413,
0.004071513190865517,
-0.005711176432669163,
-0.03204682841897011,
-0.03673291951417923,
-0.011882305145263672,
-0.022658642381429672,
-0.021173711866140366,
-0.0016432893462479115,
-0.026988055557012558,
-0.059404440224170685,
0.01813603565096855,
0.021716825664043427,
0.035961300134658813,
0.03499818965792656,
0.0018366017611697316,
0.05084225535392761,
0.029594697058200836,
-0.005749476607888937,
0.07759121805429459,
-0.03545132651925087,
0.013259734027087688,
-0.004789653234183788,
0.012274933978915215,
-0.039633553475141525,
-0.03889129310846329,
0.02392604760825634,
0.03939271345734596,
-0.008286979980766773,
0.01773584634065628,
-0.006447316613048315,
0.04310552030801773,
0.009488499723374844,
-0.008684977889060974,
0.06926038861274719,
0.015268768183887005,
-0.025195762515068054,
-0.05074462667107582,
0.05102481693029404,
0.00042990734800696373,
0.035241954028606415,
-0.007214823737740517,
0.0049328492023050785,
-0.0094447648152709,
-0.022661829367280006,
-0.008396239951252937,
0.024735307320952415,
-0.036693282425403595,
0.02091563493013382,
-0.058145515620708466,
0.021274130791425705,
0.07760918140411377,
-0.010340536944568157,
-0.004188393242657185,
0.01795952394604683,
0.024950329214334488,
0.03616931661963463,
0.020992260426282883,
-0.05327272042632103,
-0.021090535447001457,
0.01517891138792038,
-0.08838145434856415,
0.03274665027856827,
0.004619371145963669,
-0.03578658774495125,
-0.0002642354229465127,
-0.043535079807043076,
-0.034192658960819244,
0.035954222083091736,
-0.004600421991199255,
-0.02265535667538643,
0.017211416736245155,
0.023162033408880234,
0.013979725539684296,
0.0640583485364914,
-0.0008956672390922904,
-0.07362329214811325,
0.009280284866690636,
-0.008868515491485596,
0.0018829965265467763,
0.006927100941538811,
-0.01371227577328682,
0.07934844493865967,
-0.02684670500457287,
-0.006708686240017414,
0.02042987197637558,
-0.0769365131855011,
-0.003244679654017091,
0.01041395217180252,
0.019947055727243423,
0.06210993230342865,
-0.010361164808273315,
0.027010921388864517,
0.11830244958400726,
0.036206819117069244,
0.01937788538634777,
0.030530747026205063,
0.0014119903789833188,
0.03928133472800255,
-0.004555518738925457,
-0.0069292825646698475,
-0.010862357914447784,
0.030915647745132446,
-0.0244512390345335,
-0.044549863785505295,
0.03980369120836258,
-0.03524797409772873,
0.0338546559214592,
0.03652004897594452,
-0.002718428149819374,
-0.011590730398893356,
-0.013324668630957603,
0.012529280036687851,
0.005445025861263275,
-0.02027544379234314,
-0.03171858564019203,
0.05396038293838501,
0.03053220920264721,
-0.004238951485604048,
-0.01686606928706169,
-0.04164817929267883,
0.0737629383802414,
0.06756985187530518,
0.0022999627981334925,
-0.0022117795888334513,
0.019442588090896606,
0.02103179693222046,
0.01378694735467434,
0.03694530948996544,
-0.04281119629740715,
0.0020570624619722366,
-0.026701001450419426,
0.027707474306225777,
-0.024341847747564316,
0.05321074277162552,
-0.04531348869204521,
-0.022642681375145912,
0.052375197410583496,
-0.04084133356809616,
0.08428311347961426,
-0.011030573397874832,
0.02631661295890808,
0.013866792432963848,
-0.025741465389728546,
-0.015685956925153732,
-0.047958098351955414,
-0.018388379365205765,
-0.003374281106516719,
-0.02203746698796749,
0.012668200768530369,
0.0005590723594650626,
-0.03430706635117531,
-0.020238416269421577,
0.008714396506547928,
0.07383528351783752,
0.057291463017463684,
0.03497986122965813,
-0.004146346356719732,
0.022184735164046288,
-0.025045126676559448,
0.013418055139482021,
-0.0958501324057579,
-0.015220541507005692,
-0.024550285190343857,
-0.02198958396911621,
0.0011728921672329307,
0.05586251989006996,
-0.016230376437306404,
0.033161889761686325,
-0.018580786883831024,
-0.0056748357601463795,
0.01052885502576828,
0.012352515012025833,
0.014355866238474846,
-0.04329083114862442,
-0.016371464356780052,
-0.02104235626757145,
0.05098864808678627,
-0.030199144035577774,
-0.033568307757377625,
0.004936602897942066,
-0.05761316418647766,
-0.01916312985122204,
-0.021275702863931656,
-0.00288844620808959,
0.013987795449793339,
0.00786113552749157,
0.009334444999694824,
-0.013959460891783237,
0.006936880759894848,
0.05653730407357216,
0.028810905292630196,
0.04257810488343239,
-0.012113788165152073,
-0.020477401092648506,
0.03511752933263779,
-0.04560735076665878,
-0.019703123718500137,
0.0013807403156533837,
0.028749605640769005,
-0.018901493400335312,
-0.0011476145591586828,
0.003957994747906923,
0.016356319189071655,
-0.2666066288948059,
-0.0038540821988135576,
0.02516389638185501,
-0.0383632630109787,
0.03488263487815857,
-0.002872347366064787,
0.05306616052985191,
-0.02992677316069603,
-0.020223252475261688,
0.044365812093019485,
0.022555992007255554,
0.042055971920490265,
0.011781677603721619,
0.07282479852437973,
0.03258344531059265,
0.026215864345431328,
0.032373178750276566,
-0.003886194434016943,
0.021137913689017296,
0.025485964491963387,
-0.002534333150833845,
-0.02747754193842411,
-0.044932909309864044,
0.07879767566919327,
0.019388988614082336,
0.05323634669184685,
-0.04655621200799942,
0.016349390149116516,
-0.029835887253284454,
0.024805231019854546,
0.020904183387756348,
-0.024898510426282883,
-0.000462428288301453,
0.04024519771337509,
-0.010037369094789028,
0.0204605869948864,
0.07149268686771393,
0.008792920969426632,
0.04130490496754646,
0.012438110075891018,
-0.011452951468527317,
-0.00772117218002677,
-0.038895051926374435,
-0.019548946991562843,
0.05159984529018402,
0.0005115033127367496,
-0.048003021627664566,
-0.0304558165371418,
-0.007342735305428505,
0.022495625540614128,
-0.030696455389261246,
-0.024406790733337402,
-0.024636272341012955,
-0.00685211643576622,
0.022344080731272697,
-0.0018207980319857597,
0.013782817870378494,
-0.06173134222626686,
-0.04062655568122864,
-0.02839997038245201,
0.024236241355538368,
-0.04068378731608391,
-0.0117028234526515,
-0.035542022436857224,
-0.022303231060504913,
-0.05711589381098747,
-0.06408459693193436,
-0.049360278993844986,
0.06317108124494553,
0.02451937645673752,
-0.019208064302802086,
-0.0042008450254797935,
-0.012432937510311604,
-0.09145784378051758,
0.009146681986749172,
-0.004882593173533678,
0.0018851541681215167,
-0.024785028770565987,
0.009793899022042751,
0.02332189492881298,
-0.0469682440161705,
-0.012744185514748096,
-0.028267337009310722,
0.008072327822446823,
0.0402076356112957,
0.008439552038908005,
0.015378766693174839,
-0.03355973958969116,
-0.05683959648013115,
-0.029848771169781685,
0.0334106869995594,
-0.002446201629936695,
-0.0022122301161289215,
0.01859331503510475,
0.03883911296725273,
0.06590798497200012,
0.022859470918774605,
0.04807572066783905,
0.046888567507267,
-0.012090889737010002,
0.06032833084464073,
-0.08117204159498215,
-0.006636688020080328,
-0.03626763075590134,
-0.01364640798419714,
0.025022249668836594,
-0.06522952765226364,
-0.014988809823989868,
0.03452440723776817,
-0.03192571550607681,
-0.04903682693839073,
-0.013992875814437866,
-0.012557042762637138,
0.02165067195892334,
-0.011836989782750607,
-0.021401191130280495,
-0.009263668209314346,
0.05790109187364578,
0.01980077475309372,
-0.02557566948235035,
-0.04897886887192726,
0.021231284365057945,
-0.009147422388195992,
-0.02113661728799343,
-0.003574121743440628,
-0.05222418159246445,
0.008631610311567783,
-0.040896933525800705,
0.0019009357783943415,
-0.016570087522268295,
0.024053463712334633,
-0.006144726183265448,
0.0027033218648284674,
0.003710772842168808,
0.05743217095732689,
-0.005072772037237883,
0.0011685234494507313,
-0.017447454854846,
0.007532298564910889,
-0.021576285362243652,
-0.034644871950149536,
-0.03238837793469429,
-0.0006122664199210703,
0.00956670567393303,
0.03831220790743828,
-0.009996353648602962,
0.0012065572664141655,
0.020754169672727585,
0.022927626967430115,
-0.014460774138569832,
0.026378042995929718,
-0.028313210234045982,
0.006133028771728277,
-0.026848437264561653,
-0.0003330699692014605,
-0.006997705437242985,
0.03741211071610451,
-0.015774086117744446,
-0.0033873580396175385,
-0.06502662599086761,
0.0028783981688320637,
-0.003922501113265753,
0.006264151073992252,
-0.0031218586955219507,
0.008924102410674095,
0.04046760872006416,
-0.03365825489163399,
0.02612754888832569,
0.05220239609479904,
0.019975097849965096,
0.03208428621292114,
-0.046280622482299805,
-0.031734079122543335,
0.008521548472344875,
-0.03411892428994179,
-0.026541218161582947,
0.011712231673300266,
-0.03820076584815979,
-0.03482555225491524,
0.03545505553483963,
0.0013269023038446903,
-0.02605472132563591,
-0.02473469264805317,
-0.000524277740623802,
0.07722753286361694,
0.027082575485110283,
0.03781652823090553,
-0.007439958862960339,
-0.05202256143093109,
0.019112182781100273,
-0.02416800521314144,
-0.03706677258014679,
-0.017802955582737923,
-0.047043848782777786,
-0.04808681085705757,
-0.06864891201257706,
0.013024195097386837,
-0.0033459775149822235,
0.018430860713124275,
-0.012072405777871609,
0.024939779192209244,
-0.0008144802995957434,
-0.07181999087333679,
-0.04694255441427231,
0.00459859287366271,
-0.08911554515361786,
0.008522439748048782,
-0.011470611207187176,
0.0064580077305436134,
0.028564386069774628,
-0.04368789494037628,
-0.0437672883272171,
-0.03108212724328041,
-0.004209527745842934,
0.031917210668325424,
-0.0226802509278059,
-0.06201528012752533,
-0.039140261709690094,
0.011189674027264118,
-0.0013800449669361115,
0.02690357156097889,
-0.013251774944365025,
0.018362049013376236,
-0.016893865540623665,
0.03827252611517906,
0.04401532560586929,
-0.025798343122005463,
-0.059450581669807434,
0.0009402522700838745,
-0.03496398776769638,
0.011945236474275589,
-0.038913361728191376,
0.026343338191509247,
0.04427992179989815,
-0.018721263855695724,
0.00601760670542717,
-0.02179463766515255,
0.03916483372449875,
0.030174726620316505,
0.002188947284594178,
-0.037212494760751724,
-0.01311167236417532,
-0.0062303440645337105,
-0.018043972551822662,
0.005264992360025644,
0.03583940863609314,
-0.0034472171682864428,
0.0165531225502491,
0.023176129907369614,
0.021996408700942993,
0.017736230045557022,
-0.01974661275744438,
-0.0519220195710659,
0.021948007866740227,
0.04016399383544922,
-0.01421822514384985,
-0.01826239377260208,
-0.06589128077030182,
-0.05266732722520828,
0.006006766110658646,
-0.0006486127967946231,
0.005599226802587509,
-0.06796067953109741,
0.059646256268024445,
0.004478116054087877,
0.043012797832489014,
0.012836447916924953,
-0.007899614050984383,
0.029663098976016045,
-0.05157966911792755,
-0.021768392994999886,
-0.07169943302869797,
-0.02353310026228428,
0.05735444277524948,
-0.034592702984809875,
-0.010043046437203884,
-0.005487284157425165,
-0.056663453578948975,
0.05036081746220589,
-0.013149449601769447,
-0.027625547721982002,
0.010328967124223709,
-0.026075109839439392,
-0.01705162413418293,
0.07312781363725662,
-0.0644177570939064,
-0.01825769618153572,
0.013849448412656784,
-0.04959430173039436,
-0.006920826155692339,
0.009558136574923992,
0.05608971044421196,
-0.01920260116457939,
0.005549902096390724,
-0.05288521945476532,
0.027257855981588364,
0.041182976216077805,
0.06749749183654785,
0.035456351935863495,
0.028634222224354744,
-0.04800035431981087,
0.08277305215597153,
0.029796190559864044,
0.027120979502797127,
0.027520764619112015,
0.0012972293188795447,
-0.024081509560346603,
-0.036469414830207825,
0.06214788183569908,
-0.011454428546130657,
0.001065933727659285,
-0.054993364959955215,
0.07828333973884583,
0.05036695674061775,
-0.06468825787305832,
-0.021012749522924423,
0.016742711886763573,
-0.0402158759534359,
0.017518240958452225,
-0.011783855967223644,
0.019395681098103523,
-0.0038622079882770777,
0.055489230901002884,
0.03965378180146217,
0.05545077100396156,
0.05694210156798363,
0.019038580358028412,
-0.0076507446356117725,
0.00494352588430047,
0.050999902188777924,
0.060257285833358765,
0.08140740543603897,
0.004631905350834131,
0.0689135491847992,
-0.03966808691620827,
-0.06547070294618607,
0.008825003169476986,
0.008248431608080864,
0.004800254479050636,
-0.02588018774986267,
-0.016577398404479027,
0.05110424757003784,
0.0031747270841151476,
0.06579893082380295,
-0.05032852292060852,
0.0032514093909412622,
0.06289319694042206,
0.01829417608678341,
0.004462213721126318,
0.023834211751818657,
0.02372792549431324,
0.009928444400429726,
-0.023911913856863976,
-0.028388436883687973,
0.0005499516264535487,
-0.04067443311214447,
0.0028104924131184816,
0.0084475576877594,
-0.02078847773373127,
0.00026786501985043287,
-0.0029307017102837563,
0.03721120208501816,
0.1248866394162178,
-0.04441050440073013,
-0.007270173169672489,
0.04387332499027252,
0.003729713847860694,
0.005250287242233753,
0.05903341993689537,
0.020207393914461136,
0.02152572199702263,
-0.03359057009220123,
-0.041958704590797424,
-0.007578449323773384,
0.010401418432593346,
0.014195003546774387,
0.031597964465618134,
-0.0368569977581501,
-0.008500510826706886,
0.04992862790822983,
0.015915898606181145,
-0.05465873330831528,
-0.04797165095806122,
-0.02105375938117504,
-0.030810851603746414,
-0.030512399971485138,
-0.0343053936958313,
0.05636615306138992,
0.03508906066417694,
0.007055377587676048,
0.030092239379882812,
-0.04086395725607872,
0.036840807646512985,
0.009472060948610306,
-0.05868688225746155,
0.015656674280762672,
0.040736280381679535,
0.00023215038527268916,
-0.01664186269044876,
0.02315293438732624,
0.014366340823471546,
0.0035063661634922028,
0.016265276819467545,
0.024229122325778008,
0.02078974060714245,
0.0194217711687088,
0.012693370692431927,
-0.014041808433830738,
-0.08247069269418716,
-0.012139528058469296,
0.0067605082876980305,
-0.04012320563197136,
-0.06244371831417084,
0.04007961228489876,
-0.023990368470549583,
0.0396711602807045,
0.06353592872619629,
0.07223916053771973,
0.023817703127861023,
-0.038497503846883774,
-0.03928834944963455,
0.027855025604367256,
0.038673851639032364,
0.031189894303679466,
-0.026895714923739433,
0.04840431734919548,
0.0403730534017086,
-0.029853468760848045,
-0.06527265906333923,
-0.0008343048975802958,
0.009610339999198914,
-0.030589457601308823,
-0.0119099710136652,
-0.01688244193792343,
-0.025395149365067482,
-0.07295477390289307,
-0.019433237612247467,
0.0278621856123209,
-0.008003064431250095,
-0.014129536226391792,
-0.007385827600955963,
-0.0011411973973736167,
-0.0014325963566079736,
0.024696843698620796,
-0.017168428748846054,
-0.0007498114136978984,
-0.023983821272850037,
-0.0459933802485466,
-0.06008690223097801,
-0.01655690371990204,
-0.014284254983067513,
-0.0224388986825943,
-0.011199758388102055,
-0.03899938985705376,
-0.011996839195489883,
-0.01715930737555027,
0.028219057247042656,
-0.01659020595252514,
0.012432597577571869,
-0.03796534240245819
] |
https://github.com/namkoong-lab/adaptive-elicitation
|
544 |
Randomized Dimensionality Reduction for Euclidean Maximization and Diversity Measures
|
https://openreview.net/forum?id=Rcivp36KzO
|
[
"Jie Gao",
"Rajesh Jayaram",
"Benedikt Kolbe",
"Shay Sapir",
"Chris Schwiegelshohn",
"Sandeep Silwal",
"Erik Waingarten"
] |
Poster
|
Randomized dimensionality reduction is a widely-used algorithmic technique for speeding up large-scale Euclidean optimization problems. In this paper, we study dimension reduction for a variety of maximization problems, including max-matching, max-spanning tree, as well as various measures for dataset diversity. For these problems, we show that the effect of dimension reduction is intimately tied to the *doubling dimension* $\lambda_X$ of the underlying dataset $X$---a quantity measuring intrinsic dimensionality of point sets. Specifically, the dimension required is $O(\lambda_X)$, which we also show is necessary for some of these problems. This is in contrast to classical dimension reduction results, whose dependence grow with the dataset size $|X|$. We also provide empirical results validating the quality of solutions found in the projected space, as well as speedups due to dimensionality reduction.
|
Dimensionality Reduction, Dimension Reduction, Geometric Optimization, Johnson Lindenstrauss, Diversity Maximization, Diversity
|
Novel dimensionality reduction results for geometric maximization problems
| 13,149 |
2506.00165
|
[
-0.015699690207839012,
-0.03785666078329086,
0.0055107055231928825,
0.05426567420363426,
0.036795474588871,
0.0695410817861557,
0.028479620814323425,
-0.014017727226018906,
-0.021539758890867233,
-0.07118605822324753,
-0.021609341725707054,
-0.05096551403403282,
-0.06496503949165344,
-0.004653466399759054,
-0.016301047056913376,
0.07812180370092392,
0.0069669936783611774,
-0.006053658202290535,
0.0016214638017117977,
0.03273160383105278,
-0.025517409667372704,
-0.02886972390115261,
0.04744658246636391,
0.037701964378356934,
0.033325426280498505,
-0.0031879940070211887,
0.007414861582219601,
0.02432221546769142,
-0.004921481944620609,
-0.009613784961402416,
0.03120226040482521,
-0.005641239695250988,
0.0009353402419947088,
-0.02738739550113678,
0.018771111965179443,
-0.007654572371393442,
-0.03995995223522186,
0.028567271307110786,
-0.0018227399559691548,
0.01212782971560955,
-0.03922213613986969,
0.007758650463074446,
0.025781605392694473,
0.06366334110498428,
-0.02293083444237709,
0.0039030113257467747,
-0.09978903084993362,
0.03475837782025337,
0.03149428963661194,
0.019750243052840233,
-0.043372154235839844,
0.04621516913175583,
0.024861697107553482,
0.005899820011109114,
-0.0010655404767021537,
0.053072359412908554,
0.027209484949707985,
-0.05015759915113449,
0.008420699276030064,
-0.06459037214517593,
-0.057007063180208206,
0.010919054970145226,
0.015378495678305626,
0.015053019858896732,
-0.029126493260264397,
0.014707861468195915,
0.005562721285969019,
0.05858408659696579,
-0.03605948016047478,
-0.03421831130981445,
0.003964332398027182,
-0.03016595169901848,
0.01981683075428009,
0.030211124569177628,
-0.003488337155431509,
-0.04194759204983711,
0.005274029448628426,
0.0056846546940505505,
0.04327385127544403,
-0.015777703374624252,
0.019694948568940163,
0.023745562881231308,
0.022317515686154366,
0.025579821318387985,
-0.00731766689568758,
-0.023330476135015488,
-0.045283593237400055,
-0.012522525154054165,
-0.08085206151008606,
0.04179096221923828,
-0.006223154719918966,
-0.04576755315065384,
0.029386630281805992,
0.04973546043038368,
0.003579337615519762,
-0.009402206167578697,
0.043022383004426956,
0.000009097801012103446,
0.01831098459661007,
-0.007733858656138182,
-0.040016334503889084,
-0.008382021449506283,
0.015993868932127953,
-0.0064841690473258495,
-0.1056709960103035,
-0.02774270437657833,
-0.009310014545917511,
0.006650211289525032,
-0.03498897701501846,
0.029434455558657646,
-0.04250223562121391,
-0.015223920345306396,
0.010302991606295109,
-0.010083949193358421,
-0.08525378257036209,
0.05283030867576599,
0.021051334217190742,
0.01652560569345951,
-0.006056568585336208,
0.005904520396143198,
0.04644766449928284,
0.05674780160188675,
-0.03574154153466225,
0.07128046452999115,
-0.017831195145845413,
0.005627880804240704,
0.04776372015476227,
0.033783920109272,
-0.03760014846920967,
-0.04246504232287407,
0.02595275640487671,
0.035495974123477936,
-0.005110698286443949,
-0.0008197820861823857,
0.015125245787203312,
-0.06657513976097107,
-0.015569882467389107,
0.023451626300811768,
0.05292891338467598,
-0.04178917035460472,
0.0028687305748462677,
-0.04445352777838707,
0.019186632707715034,
0.0031505203805863857,
0.050320036709308624,
-0.06577926874160767,
0.038338273763656616,
-0.02664092183113098,
-0.05419686809182167,
-0.014445370994508266,
0.006517139729112387,
0.0026029343716800213,
-0.014579782262444496,
-0.061287280172109604,
0.02270602248609066,
0.05632559955120087,
-0.030805164948105812,
0.04611491039395332,
-0.020881839096546173,
-0.0035399801563471556,
0.017175262793898582,
-0.006354351062327623,
-0.022989582270383835,
0.00701905507594347,
-0.013968776911497116,
-0.03945834934711456,
0.07600552588701248,
0.06079602986574173,
0.0006296633509919047,
0.007891860790550709,
-0.0384308323264122,
-0.04040471091866493,
0.04996794834733009,
-0.021738998591899872,
-0.016808422282338142,
-0.007573995739221573,
0.04457490146160126,
0.0051184422336518764,
0.023444391787052155,
0.008712681010365486,
-0.08202768117189407,
0.015451427549123764,
0.011488225311040878,
-0.010449702851474285,
0.020717594772577286,
-0.026844045147299767,
0.09638023376464844,
0.0010740222642198205,
0.03932894021272659,
-0.004808652214705944,
-0.07911384105682373,
-0.02753959409892559,
0.032073501497507095,
-0.008403273299336433,
0.059045031666755676,
0.015648093074560165,
-0.016114668920636177,
0.024137824773788452,
-0.0003109412791673094,
0.0005433103651739657,
0.02764672227203846,
-0.015921451151371002,
0.010485216043889523,
-0.002990939887240529,
-0.02082635648548603,
-0.019558992236852646,
0.04156123846769333,
-0.0561373271048069,
-0.04274555295705795,
0.010126583278179169,
0.04278787225484848,
-0.03449111431837082,
-0.024037253111600876,
-0.026149563491344452,
0.0422016941010952,
0.010002766735851765,
0.03131397068500519,
-0.0022677031811326742,
0.04280075803399086,
-0.05723830685019493,
0.060045816004276276,
0.024646230041980743,
-0.035480815917253494,
0.02439567819237709,
-0.006123763974756002,
0.0731443464756012,
0.08050825446844101,
-0.026725975796580315,
0.020158475264906883,
0.01379365287721157,
-0.012481270357966423,
0.02278301864862442,
0.010857215151190758,
-0.023564932867884636,
-0.00662718340754509,
0.033522170037031174,
-0.007912129163742065,
-0.047703247517347336,
0.0921626091003418,
-0.06016546115279198,
-0.060275766998529434,
0.06023088097572327,
0.03138260170817375,
0.052931055426597595,
0.01484077051281929,
0.01885116845369339,
0.01777692884206772,
-0.013476765714585781,
-0.052396010607481,
-0.030732763931155205,
-0.010710268281400204,
0.0007525730179622769,
0.00591988256201148,
0.009330471977591515,
0.01121740322560072,
-0.0445144958794117,
0.03516679257154465,
-0.020589081570506096,
0.0968615710735321,
0.06724835932254791,
-0.011897336691617966,
-0.018568793311715126,
0.015725374221801758,
-0.038658373057842255,
-0.01974504068493843,
-0.09645672142505646,
-0.047334834933280945,
-0.03934521973133087,
0.05441497638821602,
0.01628759317100048,
0.040401097387075424,
-0.013700184412300587,
0.000917507684789598,
-0.01370514277368784,
-0.02670062519609928,
0.013417338021099567,
0.016978679224848747,
-0.010990316979587078,
-0.043155066668987274,
-0.017740396782755852,
0.030796878039836884,
0.06727505475282669,
-0.013011845760047436,
0.006748861633241177,
-0.02592238038778305,
-0.020114939659833908,
-0.011374354362487793,
-0.062348801642656326,
-0.02202717214822769,
0.011465394869446754,
0.015110131353139877,
0.02693178318440914,
-0.0293227918446064,
-0.011247482150793076,
0.07045618444681168,
0.023092521354556084,
0.022783072665333748,
-0.02140241488814354,
0.0014861604431644082,
-0.01551771443337202,
-0.006209850776940584,
0.04684262350201607,
-0.04489140212535858,
-0.04403560608625412,
-0.01724754087626934,
0.02370487153530121,
-0.004399206023663282,
-0.017430314794182777,
-0.2775486707687378,
-0.020622331649065018,
0.007306204177439213,
-0.004566469229757786,
0.01000828668475151,
-0.010496342554688454,
0.07040136307477951,
-0.0013140107039362192,
-0.03896007686853409,
-0.007758581545203924,
-0.0029564707074314356,
0.02239004522562027,
-0.0006735039642080665,
0.0814758688211441,
0.04686200991272926,
0.020465997979044914,
-0.017251238226890564,
0.004791527520865202,
0.025821572169661522,
0.030542606487870216,
-0.01702345721423626,
-0.04178337752819061,
-0.0105760358273983,
0.018593406304717064,
-0.03388676419854164,
0.05632065236568451,
-0.04240726679563522,
0.006871658377349377,
-0.050331927835941315,
-0.0340769961476326,
0.008214497938752174,
-0.029559070244431496,
-0.01364179141819477,
0.02939995750784874,
0.0009528064401820302,
-0.01281262282282114,
0.026255710050463676,
-0.02135312557220459,
-0.007388881873339415,
0.02637890726327896,
-0.000006717599262628937,
0.006274543236941099,
-0.01826862245798111,
0.011119442991912365,
0.044363703578710556,
-0.005947059020400047,
-0.01353179756551981,
-0.02172488160431385,
-0.0012976470170542598,
0.03004581108689308,
0.02887639030814171,
-0.014887701719999313,
-0.0035091103054583073,
0.01044613029807806,
-0.007338871248066425,
-0.029760237783193588,
0.015071283094584942,
-0.01422111690044403,
-0.004399830941110849,
0.0032844278030097485,
0.034046996384859085,
-0.05565924942493439,
0.0021713278256356716,
-0.06527557969093323,
-0.01176841277629137,
-0.05604676157236099,
-0.09998174756765366,
-0.06291084736585617,
0.03888406604528427,
0.03542299568653107,
-0.008451232686638832,
0.052429016679525375,
-0.01921006292104721,
-0.0810992568731308,
0.015729205682873726,
0.002147124381735921,
-0.019926825538277626,
0.010764786042273045,
0.021752767264842987,
0.06858901679515839,
-0.025991739705204964,
-0.043062660843133926,
0.0251952912658453,
0.020105965435504913,
-0.003614232409745455,
-0.004801545292139053,
0.026486976072192192,
-0.015105926431715488,
-0.04423229768872261,
-0.03849194198846817,
0.01934630237519741,
-0.02044270746409893,
0.016120633110404015,
0.006725572515279055,
0.05641753226518631,
0.04314610734581947,
0.01570514589548111,
0.030255727469921112,
0.03838498517870903,
0.017895573750138283,
0.017507435753941536,
-0.08605216443538666,
0.009258750826120377,
-0.008241843432188034,
-0.028151806443929672,
0.018190424889326096,
-0.034827135503292084,
-0.030386649072170258,
0.043706465512514114,
-0.013606032356619835,
0.000910532136913389,
-0.042200442403554916,
-0.018383264541625977,
-0.04301979020237923,
0.03393159806728363,
-0.02678637206554413,
0.019487885758280754,
0.027738520875573158,
0.04232288524508476,
-0.008468673564493656,
-0.0299484021961689,
0.027747435495257378,
0.004031255841255188,
-0.007917041890323162,
-0.0066540599800646305,
0.02450248785316944,
0.00013460426998790354,
-0.020720338448882103,
-0.015383552759885788,
-0.03135111927986145,
0.04884001240134239,
0.04252089187502861,
0.022268349304795265,
0.02315405011177063,
0.06377124041318893,
0.005872292909771204,
-0.05054609477519989,
-0.020384617149829865,
0.04043261706829071,
0.009823090396821499,
0.04500806704163551,
-0.0012579434551298618,
0.013685501180589199,
0.01694513112306595,
0.04126933589577675,
0.02068069763481617,
0.02249915711581707,
-0.008959796279668808,
0.012355542741715908,
-0.05565883219242096,
0.013347857631742954,
-0.031477104872465134,
0.03671979159116745,
-0.06632013618946075,
0.01964028738439083,
-0.00511415908113122,
0.03437836468219757,
0.011736750602722168,
0.007441530004143715,
-0.07689329981803894,
0.03612972050905228,
-0.002837547566741705,
-0.006823566742241383,
-0.04781825467944145,
0.012889466248452663,
0.07132495939731598,
-0.018870241940021515,
-0.0006183250807225704,
0.015390666201710701,
0.0020657966379076242,
0.03679906204342842,
-0.016720201820135117,
-0.039270222187042236,
-0.0403875932097435,
-0.017276355996727943,
-0.016912629827857018,
-0.01727379858493805,
-0.019318262115120888,
-0.060022804886102676,
-0.008213203400373459,
0.003235697979107499,
-0.005016946699470282,
-0.046926241368055344,
0.0016372700920328498,
0.06605847179889679,
0.021466778591275215,
0.012291517108678818,
-0.03106529824435711,
-0.014659244567155838,
0.05726378783583641,
-0.016785424202680588,
0.02447119727730751,
-0.01962307095527649,
-0.030291903764009476,
-0.022833190858364105,
-0.04133937135338783,
0.03879764303565025,
0.02915373258292675,
-0.027007779106497765,
-0.018367692828178406,
-0.0013600443489849567,
0.02423037961125374,
-0.029063059017062187,
-0.007154138293117285,
0.04412960261106491,
-0.07382635027170181,
0.04556018114089966,
0.013416013680398464,
-0.008330169133841991,
0.006038961000740528,
-0.040934085845947266,
-0.03674653172492981,
-0.03852623328566551,
-0.020941801369190216,
0.03999366983771324,
0.00044365733629092574,
-0.040861863642930984,
-0.013037602417171001,
-0.012543490156531334,
-0.02364344336092472,
0.02213546633720398,
0.006378423422574997,
0.017198624089360237,
-0.001066813594661653,
0.015344448387622833,
0.06186487898230553,
-0.027369627729058266,
-0.040521856397390366,
-0.01720079779624939,
-0.012709904462099075,
0.01868751458823681,
-0.050426729023456573,
0.0006711138412356377,
0.04674955829977989,
-0.0029973508790135384,
0.002425369108095765,
-0.056780047714710236,
0.006655219476670027,
0.006003630347549915,
-0.005374060478061438,
-0.019492125138640404,
0.01830633170902729,
-0.02377094328403473,
-0.004521246533840895,
0.01549031212925911,
0.04011161997914314,
-0.02409992553293705,
-0.0037736983504146338,
0.013027961365878582,
0.0054257758893072605,
-0.023525351658463478,
0.018128391355276108,
-0.04246322438120842,
-0.038587115705013275,
0.05722358077764511,
0.019248228520154953,
-0.009492083452641964,
-0.060330864042043686,
-0.0002148370404029265,
0.02260635606944561,
-0.033372800797224045,
0.03838474676012993,
0.004174293018877506,
0.03965379670262337,
0.004616827704012394,
0.055821970105171204,
0.0021142931655049324,
-0.020311454311013222,
0.03178921341896057,
-0.06734611839056015,
-0.0010449307737872005,
-0.0666634812951088,
-0.011661156080663204,
0.03932386636734009,
-0.04719185456633568,
0.013585050590336323,
0.026659591123461723,
-0.025405757129192352,
0.02485973946750164,
-0.032412998378276825,
-0.07863770425319672,
0.01489105261862278,
-0.02733946405351162,
0.005572149530053139,
0.026945685967803,
-0.041381094604730606,
-0.005736312363296747,
-0.005141809117048979,
-0.026474719867110252,
0.0029306276701390743,
0.02496991865336895,
0.037923164665699005,
-0.03764434903860092,
-0.009727485477924347,
-0.02905096486210823,
-0.0012470450019463897,
0.032726094126701355,
0.058335985988378525,
0.013062686659395695,
0.0042433771304786205,
-0.02748730592429638,
0.07415737211704254,
0.060033123940229416,
-0.02086035907268524,
-0.030805688351392746,
0.03758377581834793,
-0.001991799334064126,
-0.054279692471027374,
0.029628872871398926,
0.007438730914145708,
-0.0007389383390545845,
-0.06764904409646988,
0.04751584678888321,
0.04218728095293045,
-0.06253616511821747,
-0.013483202084898949,
0.023748554289340973,
-0.05714394897222519,
0.048456694930791855,
-0.02784203551709652,
-0.024155080318450928,
0.049950193613767624,
0.07946603745222092,
-0.01565396972000599,
0.008246169425547123,
0.0578988753259182,
-0.008008072152733803,
0.006245250813663006,
-0.03709551319479942,
0.07024911046028137,
0.07422313839197159,
0.040743302553892136,
0.02139400504529476,
0.043688319623470306,
-0.0233878493309021,
-0.04185279458761215,
0.034735120832920074,
-0.004085333086550236,
-0.04024657979607582,
-0.014527197927236557,
0.014427176676690578,
0.04818692430853844,
0.024100763723254204,
0.09863735735416412,
-0.01880144700407982,
-0.005778259132057428,
0.022722329944372177,
-0.0025081157218664885,
0.022521760314702988,
0.028728501871228218,
0.028801269829273224,
0.03953425586223602,
-0.03566574677824974,
-0.02545117773115635,
0.0027017882093787193,
0.0036925876047462225,
0.03832290694117546,
0.007263741455972195,
-0.026191260665655136,
0.024284543469548225,
0.0038702047895640135,
0.005723268259316683,
0.07895516604185104,
-0.025109976530075073,
-0.055706512182950974,
0.004093364346772432,
0.034039389342069626,
0.022985346615314484,
0.0761207714676857,
0.022035034373402596,
-0.01887924037873745,
0.0021556930150836706,
-0.06289893388748169,
0.017704417929053307,
0.016535094007849693,
-0.0017553766956552863,
0.0030153547413647175,
-0.030672866851091385,
-0.022153550758957863,
0.02059144154191017,
0.055904094129800797,
-0.016370099037885666,
-0.035914111882448196,
-0.026668768376111984,
-0.04452789947390556,
-0.056931957602500916,
-0.04529297351837158,
0.012474142014980316,
0.005050397012382746,
-0.03695822134613991,
0.00025603637914173305,
-0.017029207199811935,
0.01665729284286499,
0.011148168705403805,
-0.06793015450239182,
-0.01445996854454279,
0.03253830596804619,
0.030554065480828285,
0.037823937833309174,
0.030962657183408737,
0.02966821938753128,
-0.03964226320385933,
-0.019031547009944916,
0.017037298530340195,
-0.0032178990077227354,
0.026592234149575233,
-0.0061615281738340855,
0.001257094438187778,
-0.07088220864534378,
0.01635698601603508,
0.014737606048583984,
-0.02207912690937519,
-0.07016096264123917,
-0.007501218467950821,
-0.008813559077680111,
0.02601572871208191,
0.0394265316426754,
0.009856488555669785,
-0.004251461010426283,
-0.0014234413392841816,
0.0009178934851661325,
-0.05340610444545746,
-0.005747298710048199,
0.048891447484493256,
-0.057480014860630035,
0.023715894669294357,
0.04172441363334656,
-0.02749909833073616,
-0.06421899795532227,
0.042763154953718185,
-0.021098380908370018,
0.028521981090307236,
-0.04401053115725517,
-0.03349713608622551,
-0.03636295720934868,
-0.1261693388223648,
-0.020088108256459236,
0.03596024215221405,
-0.006790923420339823,
-0.030213583260774612,
-0.012002972885966301,
0.006491878069937229,
-0.04672173038125038,
0.010699130594730377,
-0.00289128883741796,
0.0015840842388570309,
-0.04815992712974548,
-0.011828508228063583,
-0.09707225859165192,
0.013785420916974545,
-0.03844180330634117,
-0.01583416759967804,
-0.0023265208583325148,
-0.022765766829252243,
-0.03510682284832001,
-0.03316730260848999,
0.016017764806747437,
0.027287321165204048,
0.04302544146776199,
0.00997533742338419
] | null |
545 |
DIS-CO: Discovering Copyrighted Content in VLMs Training Data
|
https://openreview.net/forum?id=q0P4rrDImq
|
[
"André V. Duarte",
"Xuandong Zhao",
"Arlindo L. Oliveira",
"Lei Li"
] |
Poster
|
*How can we verify whether copyrighted content was used to train a large vision-language model (VLM) without direct access to its training data?* Motivated by the hypothesis that a VLM is able to recognize images from its training corpus, we propose DIS-CO, a novel approach to infer the inclusion of copyrighted content during the model's development. By repeatedly querying a VLM with specific frames from targeted copyrighted material, DIS-CO extracts the content's identity through free-form text completions. To assess its effectiveness, we introduce MovieTection, a benchmark comprising 14,000 frames paired with detailed captions, drawn from films released both before and after a model’s training cutoff. Our results show that DIS-CO significantly improves detection performance, nearly doubling the average AUC of the best prior method on models with logits available. Our findings also highlight a broader concern: all tested models appear to have been exposed to some extent to copyrighted content. We provide the code in the supplementary materials.
|
Copyrighted Content Detection, Membership Inference Attacks, Large Vision Language Models, Natural Language Processing
|
DIS-CO identifies copyrighted content in VLMs training data by showing that models can link movie frames to their titles in a free-form text generation setting, even when the frames are highly challenging, suggesting prior exposure during training.
| 13,148 | null |
[
0.040081728249788284,
-0.011195734143257141,
0.0005919937393628061,
0.05843205004930496,
0.04328423738479614,
-0.02082800306379795,
0.012995659373700619,
0.02449090965092182,
-0.01842423528432846,
-0.002337201964110136,
-0.04602022469043732,
0.04140367731451988,
-0.07901716977357864,
0.01374247670173645,
-0.00747859850525856,
0.04300210252404213,
0.02460349164903164,
0.023863621056079865,
0.021049363538622856,
0.023582367226481438,
-0.026918230578303337,
-0.033010732382535934,
0.02177964709699154,
0.006104571279138327,
-0.02671188861131668,
-0.002535200212150812,
0.04219238832592964,
0.02601422742009163,
-0.07463739067316055,
0.014822402969002724,
0.035077087581157684,
-0.038615062832832336,
0.04001230373978615,
-0.01950049214065075,
0.03840755298733711,
0.024420250207185745,
-0.05149087309837341,
-0.017717409878969193,
0.0017631188966333866,
0.0076158614829182625,
-0.024801280349493027,
0.01602386310696602,
-0.0007161000976338983,
-0.0144443828612566,
-0.06607894599437714,
0.011805840767920017,
-0.10237942636013031,
0.03036564029753208,
0.003029522718861699,
-0.03532076254487038,
-0.08086196333169937,
0.008396029472351074,
-0.0185198076069355,
-0.0010221273405477405,
0.0005838203360326588,
0.04138524830341339,
0.028395650908350945,
-0.0937722846865654,
0.006636275909841061,
-0.04191351309418678,
-0.01297877635806799,
0.0009546512737870216,
0.028028598055243492,
0.015957599505782127,
-0.0008974247612059116,
-0.04289961978793144,
-0.01972915418446064,
0.051784418523311615,
-0.033185191452503204,
-0.0600118562579155,
0.027019578963518143,
-0.004230157937854528,
-0.02641191892325878,
-0.006779385264962912,
0.01837756298482418,
-0.024718813598155975,
0.020138897001743317,
-0.005684929434210062,
0.07418043911457062,
-0.03603966161608696,
0.009247702546417713,
0.0439128652215004,
0.01099899597465992,
0.017098361626267433,
-0.005410396493971348,
0.001710541546344757,
-0.0410325862467289,
-0.009327573701739311,
-0.06266607344150543,
0.0055505880154669285,
-0.014466587454080582,
-0.0229934211820364,
0.02942832186818123,
0.042640570551157,
0.06408678740262985,
0.005532494746148586,
0.03579087555408478,
0.00999535247683525,
-0.013547019101679325,
0.013783596456050873,
-0.004880216438323259,
-0.025993824005126953,
0.017459219321608543,
0.01949346996843815,
-0.09981457144021988,
-0.01921040378510952,
-0.0008114097290672362,
0.0034340284764766693,
0.010526026599109173,
-0.0028227511793375015,
-0.013315597549080849,
-0.005252644419670105,
-0.014396273531019688,
-0.023164676502346992,
-0.07676287740468979,
0.025122731924057007,
0.001658086315728724,
0.010676737874746323,
0.005148692522197962,
0.016730714589357376,
0.04904397577047348,
0.04166266322135925,
0.018835827708244324,
0.05839730426669121,
0.011819298379123211,
0.008017469197511673,
0.01554353442043066,
0.032968759536743164,
-0.04777297377586365,
-0.03582662343978882,
0.012086181901395321,
0.014594653621315956,
-0.009674525819718838,
0.002284575253725052,
-0.000016882098861970007,
0.020738637074828148,
0.018023356795310974,
-0.020766546949744225,
0.04016544669866562,
-0.027820564806461334,
0.011326523497700691,
-0.001997604500502348,
0.02228514850139618,
-0.0066078584641218185,
0.07533670961856842,
-0.02381874993443489,
-0.01754934899508953,
-0.008504461497068405,
-0.04850674420595169,
0.002396212425082922,
0.02295389026403427,
-0.008330242708325386,
0.027198519557714462,
-0.08334846794605255,
0.015990084037184715,
0.07606006413698196,
0.010550974868237972,
0.026449237018823624,
-0.0010892782593145967,
-0.004198175389319658,
0.026099499315023422,
-0.00876996386796236,
-0.07033036649227142,
0.014043171890079975,
-0.03543694689869881,
-0.06811951100826263,
-0.013813551515340805,
0.007302477490156889,
-0.03142891079187393,
0.033412933349609375,
-0.040345918387174606,
-0.058264557272195816,
0.06776657700538635,
-0.023481132462620735,
-0.03745857626199722,
-0.002433546120300889,
0.04533190280199051,
0.053961366415023804,
0.02138860896229744,
0.026005910709500313,
-0.08709782361984253,
0.030547749251127243,
0.009554712101817131,
-0.03712816908955574,
0.014417048543691635,
-0.012995167635381222,
0.09011197090148926,
-0.02007271908223629,
-0.0033330481965094805,
0.030744539573788643,
-0.08149604499340057,
-0.03592758625745773,
0.03136670961976051,
-0.04159557819366455,
0.03517942503094673,
0.02082935720682144,
0.0008299485198222101,
0.02065262943506241,
0.010337406769394875,
0.05787394568324089,
0.028672439977526665,
-0.018016867339611053,
0.08269680291414261,
-0.016398360952734947,
-0.03916298598051071,
0.005911220330744982,
0.02906779944896698,
-0.029605885967612267,
-0.0444880872964859,
-0.0028684509452432394,
-0.01933184824883938,
0.007030442822724581,
0.02253483608365059,
0.019053781405091286,
0.03070143796503544,
0.018936336040496826,
-0.010157076641917229,
-0.004213844891637564,
0.012638644315302372,
-0.03254130110144615,
0.04200168699026108,
0.026571884751319885,
-0.05628407001495361,
0.00408973079174757,
-0.06254367530345917,
0.09693212062120438,
0.037494998425245285,
-0.009355192072689533,
0.0035432353615760803,
-0.0036169574595987797,
0.013992401771247387,
-0.006215703207999468,
0.0064543611370027065,
-0.05913465470075607,
-0.000523928611073643,
-0.029666900634765625,
0.01164274848997593,
-0.014735718257725239,
0.061788272112607956,
-0.011018221266567707,
0.005459928419440985,
0.041433531790971756,
0.0068034762516617775,
0.017682485282421112,
-0.004147943574935198,
0.01605830155313015,
0.01908186264336109,
-0.0006761921686120331,
-0.015718258917331696,
-0.04419154301285744,
-0.0015348369488492608,
0.010739567689597607,
-0.045168377459049225,
-0.043584536761045456,
0.020893584936857224,
-0.04589295759797096,
-0.03552991896867752,
-0.0485408641397953,
0.05045106261968613,
0.030977152287960052,
0.03912663087248802,
0.03924497216939926,
-0.00668273726478219,
-0.015348244458436966,
-0.017321357503533363,
-0.07241091877222061,
-0.02354232408106327,
-0.02155689150094986,
0.02915038727223873,
0.025003956630825996,
0.04508304223418236,
0.04750531539320946,
0.007939792238175869,
-0.031778011471033096,
0.014447147957980633,
0.038055405020713806,
0.027462579309940338,
0.027905602008104324,
-0.031192120164632797,
-0.032014455646276474,
-0.029758701100945473,
0.06492031365633011,
-0.011829208582639694,
-0.013117935508489609,
-0.05524476617574692,
-0.01771586574614048,
-0.035846371203660965,
-0.017343170940876007,
-0.01873018965125084,
-0.011335177347064018,
-0.009838255122303963,
0.03168009966611862,
-0.01573958620429039,
0.014526581391692162,
0.011578874662518501,
0.05041598156094551,
0.02463914267718792,
0.01574663072824478,
-0.00267068506218493,
0.03924526274204254,
-0.002625812543556094,
0.01714123785495758,
0.037979163229465485,
-0.0007418846944347024,
-0.006457948125898838,
0.01235088799148798,
0.03527333214879036,
-0.013406439684331417,
-0.269559383392334,
-0.00369002902880311,
-0.017949454486370087,
0.0053626555018126965,
0.0574272945523262,
-0.06069718301296234,
0.04897026717662811,
-0.04390078783035278,
-0.019473334774374962,
0.030532825738191605,
0.04566579684615135,
0.030642425641417503,
0.014665146358311176,
0.06287962198257446,
0.06057937815785408,
0.05371805280447006,
-0.017882587388157845,
-0.014495792798697948,
0.021888496354222298,
0.03783709555864334,
-0.016219982877373695,
-0.0673677995800972,
-0.008686649613082409,
0.04292556643486023,
-0.03928956761956215,
0.056468598544597626,
-0.1034320667386055,
-0.011406547389924526,
-0.025140617042779922,
-0.008998545818030834,
-0.013358311727643013,
-0.029349466785788536,
-0.03428485617041588,
0.032799240201711655,
-0.003926059231162071,
0.005067979451268911,
0.07371296733617783,
0.0020806528627872467,
-0.006151431240141392,
-0.032659269869327545,
0.02079632133245468,
-0.01864798553287983,
-0.003386768978089094,
-0.00160723936278373,
0.07354847341775894,
0.01837482862174511,
-0.0653083398938179,
-0.04369525611400604,
0.005407228600233793,
0.041588593274354935,
-0.01744481548666954,
-0.011678782291710377,
-0.02285216934978962,
0.04809006676077843,
-0.010501309297978878,
-0.055671922862529755,
0.008093895390629768,
-0.007210564333945513,
-0.02307647466659546,
0.019832657650113106,
-0.0006182842189446092,
-0.039565637707710266,
-0.02070101536810398,
-0.04101397097110748,
-0.02895883470773697,
-0.033474672585725784,
-0.04877055808901787,
-0.07096914947032928,
0.042851462960243225,
0.03127216547727585,
-0.03141253814101219,
0.02775021269917488,
-0.01629767008125782,
-0.0992172509431839,
0.0028145196847617626,
-0.0051507423631846905,
0.00571301719173789,
-0.02966451644897461,
0.019177448004484177,
0.048367828130722046,
-0.00503956014290452,
-0.02829035371541977,
0.049096010625362396,
-0.005986980628222227,
0.015251132659614086,
-0.041791386902332306,
0.0169023759663105,
0.00013146267156116664,
0.0010899686021730304,
-0.05412115529179573,
0.07206759601831436,
0.001338732079602778,
0.004269246943295002,
0.03686762601137161,
0.039902858436107635,
0.02425079233944416,
0.05431273579597473,
0.04641558974981308,
0.037375401705503464,
0.03013484925031662,
0.018632922321558,
-0.05315888673067093,
-0.013307233341038227,
-0.06740681082010269,
-0.027361618354916573,
0.008985815569758415,
-0.04059320688247681,
-0.026969294995069504,
0.02749807760119438,
-0.022038860246539116,
-0.057318322360515594,
-0.00728572765365243,
-0.003118305467069149,
0.004157688468694687,
-0.028186261653900146,
-0.0036331359297037125,
0.011581082828342915,
0.012876720167696476,
0.04672253504395485,
-0.056046705693006516,
-0.0015468047931790352,
0.039164356887340546,
-0.033885564655065536,
0.004156807903200388,
-0.030531974509358406,
-0.007774351630359888,
-0.001475819037295878,
0.018331758677959442,
-0.0224369578063488,
0.007125656586140394,
-0.0003168368129990995,
0.018712211400270462,
0.0006048812065273523,
0.03661830350756645,
0.06158311665058136,
-0.02791195549070835,
-0.0009602400241419673,
-0.01627662405371666,
0.030441241338849068,
-0.019662516191601753,
0.02316867746412754,
-0.025782335549592972,
0.03785451874136925,
0.084703229367733,
0.043577637523412704,
-0.007633275352418423,
0.058146778494119644,
-0.0007360211457125843,
-0.01308626588433981,
0.011906669475138187,
0.039877116680145264,
-0.05416778102517128,
-0.0010703193256631494,
-0.03532980754971504,
-0.00373337185010314,
-0.01715703494846821,
0.005954227410256863,
0.007256617303937674,
0.0384044423699379,
-0.05555044114589691,
0.08820623904466629,
0.041172754019498825,
-0.007513232529163361,
0.010616119019687176,
0.017040608450770378,
0.022549422457814217,
0.01720420829951763,
-0.00216698762960732,
0.010257535614073277,
-0.00019780594448093325,
0.013464807532727718,
-0.01280912384390831,
-0.027737582102417946,
-0.00026606483152136207,
-0.004046229645609856,
0.016705850139260292,
0.015245301648974419,
0.0068679251708090305,
-0.028887679800391197,
0.026744229719042778,
-0.00295058055780828,
-0.015163267031311989,
0.012933420948684216,
-0.0057881977409124374,
0.057974547147750854,
0.022154780104756355,
0.00010801379539771006,
-0.036925528198480606,
-0.023610157892107964,
0.03630156069993973,
-0.019413288682699203,
0.04612898454070091,
-0.0396442711353302,
-0.006604756228625774,
-0.04776404798030853,
-0.043426066637039185,
-0.008924114517867565,
0.002677369397133589,
0.014343340881168842,
-0.0012971938122063875,
-0.025101765990257263,
0.008336745202541351,
-0.04540056362748146,
-0.013408533297479153,
-0.009729522280395031,
-0.05915718153119087,
0.004738657735288143,
0.029109928756952286,
-0.050483644008636475,
0.01471275370568037,
-0.04739612340927124,
-0.05277521163225174,
-0.07282230257987976,
-0.028074882924556732,
0.000011744530638679862,
-0.023390891030430794,
0.003437311854213476,
-0.03609241172671318,
0.022362979128956795,
-0.009783058427274227,
0.02079072780907154,
-0.002809640020132065,
-0.010266383178532124,
0.032941337674856186,
-0.007413065060973167,
0.03890198841691017,
-0.02749432995915413,
0.006178529467433691,
0.010329125449061394,
-0.029607266187667847,
0.011545161716639996,
-0.022925572469830513,
0.028041744604706764,
0.05951682850718498,
-0.021573835983872414,
0.0037103614304214716,
-0.03091920167207718,
0.02478884719312191,
-0.007887618616223335,
-0.01603187993168831,
0.028811875730752945,
0.0489632822573185,
-0.026440022513270378,
0.01848924532532692,
0.020848892629146576,
0.04577324911952019,
0.0039029973559081554,
-0.017346564680337906,
0.005210587754845619,
-0.0034947791136801243,
0.028689507395029068,
0.017933066934347153,
-0.06074356660246849,
-0.011457346379756927,
0.04650665447115898,
-0.04804494231939316,
0.010657326318323612,
-0.04548685997724533,
-0.067257821559906,
0.02799529768526554,
0.012455298565328121,
0.02775648795068264,
-0.004670321475714445,
0.018846498802304268,
0.03914821892976761,
0.027789117768406868,
-0.012563375756144524,
-0.004177536349743605,
0.02392018400132656,
-0.04087308049201965,
0.017475146800279617,
-0.06544864177703857,
0.0057041761465370655,
0.0918913334608078,
0.006426535546779633,
0.013833867385983467,
-0.030727406963706017,
-0.0315651074051857,
0.04413989186286926,
-0.024024328216910362,
-0.06830669194459915,
0.020065398886799812,
-0.06029299274086952,
-0.0074930074624717236,
-0.009638276882469654,
-0.026382841169834137,
0.014318312518298626,
0.004857981111854315,
-0.03847062587738037,
0.0027694154996424913,
-0.03259503096342087,
0.0483849011361599,
-0.017538128420710564,
0.0007447963580489159,
0.00409720279276371,
-0.026740610599517822,
0.02604435570538044,
0.03619883581995964,
-0.0043914904817938805,
0.01766466535627842,
-0.005730106495320797,
0.04397287219762802,
0.0382232666015625,
-0.05345596745610237,
0.02861178107559681,
-0.007302822545170784,
-0.005480040330439806,
-0.044824086129665375,
0.05527131259441376,
0.0008601600420661271,
-0.020621834322810173,
-0.05854726582765579,
0.06327440589666367,
0.032339632511138916,
-0.031893182545900345,
-0.04726441949605942,
0.06342872977256775,
-0.042887311428785324,
-0.006330039352178574,
-0.0007982437964528799,
-0.011207299306988716,
-0.036099690943956375,
0.07396683841943741,
0.012095944955945015,
0.05101284384727478,
0.06392386555671692,
-0.012672750279307365,
0.015493502840399742,
0.022976839914917946,
0.05511722341179848,
0.06339056044816971,
0.04284137114882469,
-0.015136954374611378,
0.07923558354377747,
-0.05275849625468254,
-0.02036590501666069,
0.013930834829807281,
0.020402802154421806,
-0.010809525847434998,
-0.033089712262153625,
0.0204390250146389,
0.08141869306564331,
-0.015274090692400932,
0.05082497373223305,
-0.04653768986463547,
-0.03992387652397156,
0.03538412228226662,
-0.016208143904805183,
-0.018218830227851868,
0.0024202647618949413,
0.02505112811923027,
-0.027588771656155586,
-0.032187025994062424,
-0.015924710780382156,
0.045075394213199615,
-0.042860545217990875,
0.027426082640886307,
-0.016427572816610336,
-0.02516677789390087,
0.0052189575508236885,
-0.040134724229574203,
0.05453157424926758,
0.10731981694698334,
-0.008193609304726124,
-0.0440727062523365,
0.0016594493063166738,
0.009594747796654701,
0.038965146988630295,
0.07729161530733109,
-0.02151722088456154,
-0.01699395850300789,
0.01170303113758564,
-0.09501273185014725,
0.020747065544128418,
0.027824047952890396,
-0.01919921115040779,
0.021734079346060753,
-0.02089144103229046,
-0.03356003761291504,
0.016763553023338318,
0.010352217592298985,
-0.04298019036650658,
-0.02491466887295246,
-0.03140758350491524,
-0.04156118258833885,
-0.07010571658611298,
-0.059965167194604874,
0.026271115988492966,
0.04231271520256996,
-0.06359943747520447,
-0.02099551633000374,
-0.038972221314907074,
0.011595572344958782,
0.05118834972381592,
-0.07783917337656021,
0.00591471791267395,
0.03751060739159584,
0.01730341650545597,
-0.03613101691007614,
0.011988630518317223,
0.009413055144250393,
-0.04121590778231621,
-0.017247049137949944,
0.025111015886068344,
0.021477168425917625,
0.01570822112262249,
-0.023342646658420563,
-0.007697855122387409,
-0.11492515355348587,
0.01748618483543396,
0.013966952450573444,
-0.033789850771427155,
-0.07520582526922226,
0.01559498906135559,
0.005499207880347967,
0.0476931668817997,
0.06531846523284912,
0.002116198418661952,
0.027783166617155075,
-0.00873460154980421,
-0.018335049971938133,
-0.012905445881187916,
0.002473641885444522,
0.046971000730991364,
-0.01992715895175934,
0.07003287971019745,
0.022202350199222565,
0.0011881229002028704,
-0.0416506752371788,
0.004212439060211182,
-0.044774964451789856,
0.01417652890086174,
-0.039653230458498,
-0.010950617492198944,
-0.0279203150421381,
-0.09173759818077087,
-0.027269013226032257,
0.04321224242448807,
-0.014125358313322067,
-0.039437808096408844,
-0.010097860358655453,
-0.005809468682855368,
-0.006890035234391689,
-0.038756825029850006,
0.028380656614899635,
-0.006747752893716097,
-0.01257350854575634,
-0.007610193453729153,
-0.041364312171936035,
0.018626291304826736,
0.006459061987698078,
-0.012049542739987373,
-0.03894437104463577,
-0.05948665738105774,
-0.011600504629313946,
0.022819308564066887,
0.027051346376538277,
0.02416451834142208,
0.03710216283798218,
-0.0005534933879971504
] |
https://github.com/avduarte333/DIS-CO
|
546 |
MetaAgent: Automatically Constructing Multi-Agent Systems Based on Finite State Machines
|
https://openreview.net/forum?id=vOxaD3hhPt
|
[
"Yaolun Zhang",
"Xiaogeng Liu",
"Chaowei Xiao"
] |
Poster
|
Large Language Models (LLMs) have demonstrated the ability to solve a wide range of practical tasks within multi-agent systems. However, existing human-designed multi-agent frameworks are typically limited to a small set of pre-defined scenarios, while current automated design methods suffer from several limitations, such as the lack of tool integration, dependence on external training data, and rigid communication structures. In this paper, we propose \textbf{MetaAgent}, a \textbf{finite state machine} based framework that can automatically generate a multi-agent system. Given a task description, MetaAgent will design a multi-agent system and polish it through an optimization algorithm. When the multi-agent system is deployed, the finite state machine will control the agent's actions and the state transitions. To evaluate our framework, we conduct experiments on both text-based tasks and practical tasks. The results indicate that the generated multi-agent system surpasses other auto-designed methods and can achieve a comparable performance with the human-designed multi-agent system, which is optimized for those specific tasks.
|
LLM Agent, Multi-Agent System
|
We introduce a new framework that can automatically produce multi-agent systems base on finite state machines
| 13,114 | null |
[
-0.015183844603598118,
-0.014098333194851875,
-0.020084021613001823,
0.03380586579442024,
0.05612640455365181,
0.007474501617252827,
0.019099589437246323,
0.019663332030177116,
-0.015434849075973034,
-0.03848258778452873,
-0.0181382168084383,
0.03500371053814888,
-0.08691741526126862,
-0.010236794129014015,
-0.009998926892876625,
0.058435700833797455,
0.023322099819779396,
-0.026763930916786194,
0.030992960557341576,
-0.010831636376678944,
-0.041948653757572174,
0.008231782354414463,
0.039429932832717896,
0.03472748398780823,
0.02729363553225994,
0.04579005390405655,
0.06600362807512283,
0.01832069270312786,
-0.021456420421600342,
-0.001226793392561376,
0.028085313737392426,
-0.03195050358772278,
0.0165683813393116,
-0.019366618245840073,
-0.01344297081232071,
-0.01183647383004427,
-0.049025923013687134,
0.04124671220779419,
-0.004247274715453386,
-0.010033661499619484,
-0.030113622546195984,
0.06594640761613846,
-0.006299082189798355,
0.0003158368926960975,
-0.01970457285642624,
0.018350383266806602,
-0.09653804451227188,
0.03590577468276024,
0.03686919063329697,
-0.023344796150922775,
-0.10759435594081879,
-0.002801826922222972,
-0.00030003272695466876,
-0.0009984832722693682,
-0.008479954674839973,
0.03203900158405304,
0.05449075996875763,
-0.08820334076881409,
-0.010141091421246529,
-0.03974274545907974,
-0.028793519362807274,
0.0010983290849253535,
0.0371372289955616,
0.018476255238056183,
-0.0068328771740198135,
-0.04463642090559006,
0.01773766800761223,
0.022150013595819473,
-0.04138913378119469,
-0.019774753600358963,
-0.02621947042644024,
0.014377248473465443,
-0.02195054478943348,
-0.033158767968416214,
0.031892385333776474,
-0.0350358821451664,
0.03111385740339756,
0.03235781565308571,
0.03926462680101395,
0.020665977150201797,
-0.01583530381321907,
0.05177693068981171,
0.017198514193296432,
0.03940647467970848,
0.010993069037795067,
0.006499804090708494,
-0.026335779577493668,
0.01019380521029234,
-0.06823250651359558,
0.028544388711452484,
0.012427822686731815,
-0.0599043183028698,
-0.00943770818412304,
0.03983103483915329,
0.03515750169754028,
0.008276525884866714,
0.013275672681629658,
0.03521834313869476,
-0.007295138202607632,
0.021974822506308556,
-0.011473231948912144,
-0.001342945033684373,
-0.003915964625775814,
-0.0066283163614571095,
-0.09223824739456177,
0.012560713104903698,
-0.023556232452392578,
-0.032869402319192886,
0.002750926185399294,
0.014977087266743183,
0.009596818126738071,
-0.031051840633153915,
0.014989909715950489,
-0.016939112916588783,
-0.08347202092409134,
0.07165298610925674,
0.003385373391211033,
0.04048221558332443,
0.014657936990261078,
0.04088923707604408,
0.06995954364538193,
0.048751845955848694,
-0.015819169580936432,
0.06661691516637802,
-0.025315269827842712,
0.004434512462466955,
0.03174491599202156,
0.013529081828892231,
-0.033428750932216644,
-0.031056277453899384,
0.02562619186937809,
0.05860968306660652,
-0.01029070932418108,
0.008788179606199265,
-0.0022480853367596865,
0.0262093897908926,
0.02536056749522686,
0.006915996316820383,
0.034968502819538116,
0.03329741209745407,
-0.008193631656467915,
-0.0088817672803998,
0.060566823929548264,
-0.02145950123667717,
0.051369212567806244,
0.009016035124659538,
0.008191379718482494,
-0.027530476450920105,
-0.061211198568344116,
-0.008649490773677826,
-0.008236328139901161,
-0.013174109160900116,
-0.010358250699937344,
-0.022824440151453018,
0.01602935418486595,
0.0747508779168129,
0.026993580162525177,
0.009091140702366829,
0.01333507988601923,
-0.0046189711429178715,
0.012285816483199596,
-0.00009945269266609102,
-0.05037393793463707,
-0.012713155709207058,
0.009066445752978325,
-0.043648432940244675,
-0.009674538858234882,
0.024059077724814415,
0.018228663131594658,
-0.013218484818935394,
-0.03404591605067253,
-0.05442160740494728,
0.03678515926003456,
-0.020903615280985832,
0.011485530063509941,
0.009131422266364098,
0.06492992490530014,
-0.03251780942082405,
0.024494178593158722,
0.03237871080636978,
-0.08014693856239319,
0.03128731995820999,
-0.01062440313398838,
-0.01033726241439581,
0.03159176930785179,
-0.009611028246581554,
0.09592815488576889,
-0.003773879026994109,
-0.02207263931632042,
-0.011779491789638996,
-0.07657292485237122,
-0.03488815203309059,
0.029815934598445892,
0.014814685098826885,
0.04748760908842087,
-0.008683005347847939,
-0.025085357949137688,
0.05601920932531357,
0.03210120275616646,
0.051806896924972534,
0.038154471665620804,
0.003043541917577386,
0.0394226536154747,
0.01011316105723381,
-0.0000849588614073582,
-0.014692433178424835,
0.040634192526340485,
-0.056905388832092285,
-0.0276334285736084,
0.04119743034243584,
-0.00466605881229043,
-0.0018678457709029317,
0.03545050695538521,
-0.03853551670908928,
0.04409165680408478,
0.008071078918874264,
-0.007484464440494776,
-0.013525164686143398,
0.0053121168166399,
-0.052850380539894104,
0.04837925359606743,
0.020795689895749092,
-0.011156044900417328,
0.00528273731470108,
-0.04049712419509888,
0.0848236083984375,
0.05727752670645714,
-0.06032788008451462,
-0.021439803764224052,
0.013472790829837322,
0.004017220810055733,
0.005112460348755121,
0.0037144115194678307,
-0.028812125325202942,
-0.002650126349180937,
-0.03501852974295616,
0.0020632881205528975,
-0.00828539114445448,
0.03211547061800957,
-0.05136623606085777,
-0.002226210432127118,
0.05047180503606796,
-0.036859579384326935,
0.08286664634943008,
-0.00933171808719635,
0.02412893809378147,
0.04450642690062523,
-0.003007699968293309,
0.003089003497734666,
-0.0015433852095156908,
-0.011514345183968544,
-0.026763422414660454,
0.011097514070570469,
-0.019623663276433945,
-0.027411989867687225,
-0.06470198184251785,
-0.02045377343893051,
-0.027191180735826492,
0.050693828612565994,
0.0644262358546257,
0.01758185587823391,
0.008887683972716331,
0.002050678478553891,
-0.010189133696258068,
0.008042899891734123,
-0.11470333486795425,
-0.02079358510673046,
-0.020307673141360283,
0.004994117189198732,
0.016578897833824158,
0.04279256984591484,
-0.014833941124379635,
0.048577647656202316,
-0.036525167524814606,
-0.009446249343454838,
0.034590549767017365,
0.027831867337226868,
0.017395874485373497,
-0.031847938895225525,
-0.0008990173228085041,
-0.001694629667326808,
0.08367501199245453,
0.0010028172982856631,
-0.022885102778673172,
-0.026247471570968628,
-0.03836098685860634,
0.012327934615314007,
-0.07498551160097122,
0.009348584339022636,
-0.009075116366147995,
0.004101294092833996,
0.01443357765674591,
-0.013495427556335926,
0.018686294555664062,
0.036859918385744095,
0.029977720230817795,
0.031991854310035706,
-0.006860189605504274,
-0.03671330586075783,
0.02068752609193325,
-0.02346310392022133,
-0.010908946394920349,
-0.05489238351583481,
-0.0019117845222353935,
-0.00028793231467716396,
-0.037084124982357025,
0.018071817234158516,
0.005343087017536163,
-0.2663874328136444,
-0.013525166548788548,
0.01422925665974617,
-0.004691742360591888,
0.0311597790569067,
-0.007654473185539246,
0.08329328149557114,
-0.03250499069690704,
-0.03329484537243843,
-0.017410127446055412,
0.02125374786555767,
0.0336981825530529,
0.011192381381988525,
0.059232957661151886,
0.04679938033223152,
0.014903146773576736,
-0.03343643620610237,
-0.038183897733688354,
0.018175305798649788,
0.022317545488476753,
-0.025581054389476776,
-0.06568196415901184,
-0.011350256390869617,
0.03301168978214264,
0.03414585068821907,
0.029064392670989037,
-0.08361504971981049,
-0.0073819952085614204,
-0.003721487708389759,
0.01825980842113495,
-0.03129381686449051,
-0.014271258376538754,
-0.022842947393655777,
0.011947808787226677,
0.03618498891592026,
0.0037210748996585608,
0.07071920484304428,
0.02912207320332527,
0.03783610090613365,
-0.015439099632203579,
0.015139078721404076,
0.007746363524347544,
-0.06936424225568771,
-0.016896888613700867,
0.0644896999001503,
0.023126164451241493,
-0.03561548516154289,
0.003266321262344718,
-0.018017034977674484,
0.04011211916804314,
-0.02440910041332245,
-0.008247239515185356,
-0.001401008223183453,
0.009604383260011673,
0.03267303854227066,
-0.016388939693570137,
-0.001659286324866116,
-0.02697933465242386,
0.0013558926293626428,
0.01029121596366167,
-0.010474416427314281,
-0.03114134445786476,
-0.017022699117660522,
-0.0349680557847023,
0.019896287471055984,
-0.03922354057431221,
-0.05900970473885536,
-0.05579223856329918,
0.04813742637634277,
0.005085825454443693,
-0.012219877913594246,
-0.02313142456114292,
-0.018280798569321632,
-0.0904974490404129,
0.00018024479504674673,
0.0017549180192872882,
-0.011321059428155422,
-0.057118386030197144,
0.022339297458529472,
0.06055719032883644,
-0.05580885708332062,
-0.05063968524336815,
-0.04132657125592232,
-0.011894782073795795,
0.038724225014448166,
-0.015753185376524925,
0.03222786262631416,
-0.025950465351343155,
-0.030813012272119522,
-0.024737268686294556,
0.02356933429837227,
-0.02454451099038124,
0.0036887931637465954,
-0.007224095985293388,
0.06865984201431274,
0.036016639322042465,
0.01798897795379162,
0.04160910099744797,
0.03282356634736061,
0.02635941468179226,
0.04016750305891037,
-0.08500610291957855,
0.01886507123708725,
0.0004904879024252295,
0.004725353326648474,
0.0322294645011425,
-0.04295556619763374,
-0.0447317436337471,
0.07132038474082947,
-0.0028589076828211546,
-0.021658381447196007,
-0.05406302213668823,
0.02603147365152836,
-0.026030488312244415,
-0.028850018978118896,
-0.005952530540525913,
0.007174990139901638,
0.03938622027635574,
0.010163538157939911,
0.0013995066983625293,
-0.05990216135978699,
0.039602961391210556,
-0.02734740637242794,
0.03189251571893692,
-0.007119412533938885,
-0.027162354439496994,
0.011088398285210133,
-0.03668168559670448,
0.02666362375020981,
-0.02284742332994938,
0.014712093397974968,
0.013613229617476463,
-0.02318006195127964,
-0.004422247875481844,
0.0366833470761776,
-0.008363182656466961,
-0.04744323715567589,
-0.015838036313652992,
0.028328275308012962,
-0.02406677044928074,
0.003909464925527573,
-0.024093270301818848,
0.0305191557854414,
0.003996295854449272,
0.025722021237015724,
-0.00019756500842049718,
0.0390043742954731,
0.04165680333971977,
0.04418241232633591,
0.00307862157933414,
0.05155155062675476,
-0.05809102952480316,
-0.010206010192632675,
-0.009585320949554443,
-0.0021274511236697435,
-0.0639471784234047,
0.024504084140062332,
-0.01433600578457117,
0.0121464179828763,
-0.05630406364798546,
0.00023023702669888735,
-0.03207702934741974,
-0.0013756261905655265,
0.004782905336469412,
0.0213166493922472,
0.06335506588220596,
-0.0071558174677193165,
-0.0011569142807275057,
0.00696157431229949,
0.0006068428047001362,
0.004281539935618639,
-0.024981914088129997,
-0.05087490379810333,
-0.006807780358940363,
-0.021386008709669113,
0.024671707302331924,
0.020348040387034416,
-0.03295145556330681,
-0.048725780099630356,
0.045301735401153564,
-0.026333017274737358,
-0.04245426505804062,
-0.003508335677906871,
-0.005653833504766226,
0.05867908149957657,
-0.005355242174118757,
0.02820366993546486,
0.02047005668282509,
-0.03411230072379112,
0.02274661511182785,
0.03757093846797943,
0.026805276051163673,
-0.005073408596217632,
-0.06475047767162323,
-0.05831541121006012,
-0.05699616298079491,
0.020920097827911377,
0.012312262319028378,
0.00038512813625857234,
-0.010795784182846546,
0.021664118394255638,
0.025020353496074677,
-0.04753363877534866,
-0.009721468202769756,
0.006827828474342823,
-0.10052408277988434,
-0.013043221086263657,
-0.005350432358682156,
0.038624685257673264,
0.04087107628583908,
-0.06223919615149498,
-0.0013153508771210909,
-0.054408177733421326,
-0.014703107066452503,
-0.005674466025084257,
-0.03695948049426079,
-0.022438861429691315,
-0.028643667697906494,
0.0031918538734316826,
-0.01621810533106327,
-0.007880030199885368,
0.013576619327068329,
-0.02000013366341591,
-0.03495490178465843,
-0.016519786790013313,
0.021836398169398308,
-0.009664240293204784,
-0.025021743029356003,
-0.0038137505762279034,
-0.011083920486271381,
0.04619929566979408,
-0.04858420416712761,
0.017159000039100647,
0.010748229920864105,
0.005937611218541861,
0.0026896295603364706,
-0.027744444087147713,
0.00016094579768832773,
-0.0034865611232817173,
-0.013542702421545982,
-0.0212275180965662,
0.002666110871359706,
-0.03163669630885124,
-0.017201893031597137,
0.015321766026318073,
0.014422858133912086,
-0.0038014135789126158,
-0.010514618828892708,
-0.005638218950480223,
0.02097693458199501,
-0.013114755973219872,
0.02726181410253048,
-0.044625937938690186,
0.002025288762524724,
0.06512841582298279,
-0.02867482230067253,
-0.03606274724006653,
-0.020356277003884315,
-0.03396230563521385,
-0.01732277311384678,
-0.020366111770272255,
0.02538861706852913,
-0.050332896411418915,
0.04168252646923065,
0.024993279948830605,
0.008482558652758598,
-0.010566716082394123,
-0.04126085713505745,
0.03853226080536842,
-0.07844047248363495,
0.013378463685512543,
-0.06956792622804642,
-0.004425809718668461,
0.08804992586374283,
-0.019853435456752777,
-0.003976598847657442,
0.016035117208957672,
-0.03456990048289299,
0.02749527059495449,
-0.0010481475619599223,
-0.04757268726825714,
0.04869218170642853,
-0.0007997677312232554,
-0.005918923299759626,
0.036054883152246475,
-0.047920048236846924,
-0.012056400999426842,
-0.01839200034737587,
-0.033879611641168594,
0.0035100169479846954,
0.04247048497200012,
0.045432474464178085,
-0.0064750309102237225,
0.029340926557779312,
-0.039945945143699646,
0.004924408625811338,
0.01870402693748474,
0.044383320957422256,
0.0013364191399887204,
0.04402250051498413,
-0.02230899967253208,
0.07290045917034149,
0.05833476781845093,
0.021737946197390556,
0.020328136160969734,
0.007040400989353657,
-0.04162871092557907,
-0.015160046517848969,
0.06879690289497375,
0.007621718104928732,
-0.03400338813662529,
-0.07916619628667831,
0.07167772948741913,
0.018942436203360558,
-0.06069326773285866,
0.00008946054003899917,
0.023446062579751015,
-0.09641460329294205,
0.01206441130489111,
-0.03134312480688095,
0.031128305941820145,
0.009361670352518559,
0.04685359075665474,
0.00745232542976737,
0.06114508956670761,
0.07425417751073837,
-0.00795886479318142,
-0.007891221903264523,
-0.015486559830605984,
0.05096926912665367,
0.05358368158340454,
0.032052334398031235,
-0.015254444442689419,
0.0637180358171463,
-0.02467559278011322,
-0.05747013911604881,
0.03481956571340561,
0.022463573142886162,
-0.020911328494548798,
0.00382437277585268,
0.027261490002274513,
0.0625164806842804,
-0.0009908820502460003,
0.060206711292266846,
-0.019411033019423485,
-0.006856047548353672,
0.061308637261390686,
0.031240135431289673,
0.02789631485939026,
0.03774341195821762,
0.04162951186299324,
0.03414388373494148,
-0.020960770547389984,
-0.013491393998265266,
-0.00842165295034647,
-0.06400056183338165,
0.01541664358228445,
0.0013044440420344472,
-0.006806544493883848,
0.002531875390559435,
-0.015957193449139595,
0.044293370097875595,
0.12580887973308563,
-0.027132641524076462,
0.005529806017875671,
0.01058284193277359,
-0.014455355703830719,
0.0011781365610659122,
0.019331587478518486,
0.008982434868812561,
-0.003181897569447756,
-0.003998002968728542,
-0.04204460605978966,
0.0295163132250309,
0.018784603103995323,
-0.007452553603798151,
0.04001390561461449,
-0.03643229603767395,
-0.03862497955560684,
-0.006090786773711443,
0.010107829235494137,
-0.046626776456832886,
-0.03348992392420769,
-0.05574936047196388,
-0.049653276801109314,
-0.0382658876478672,
0.00782526284456253,
0.03623724728822708,
0.007465953938663006,
-0.04333930462598801,
0.0014368067495524883,
-0.0161973275244236,
-0.014689124189317226,
0.0019404775230214,
-0.07965003699064255,
0.005665445234626532,
0.041647039353847504,
0.017569445073604584,
-0.0027856759261339903,
0.04154074937105179,
0.040282685309648514,
0.015316364355385303,
0.0002448034647386521,
-0.004882109817117453,
0.015983659774065018,
0.009362832643091679,
0.011550811119377613,
0.0066964514553546906,
-0.0992787703871727,
0.0031192966271191835,
0.038042984902858734,
-0.05095814913511276,
-0.06946609169244766,
0.02296769805252552,
-0.043727025389671326,
0.029536647722125053,
0.0696318969130516,
0.019635461270809174,
0.0249051321297884,
-0.029158536344766617,
0.01387401856482029,
0.011339560151100159,
-0.004540606867522001,
0.06488323211669922,
-0.04128286987543106,
0.06985536217689514,
0.026757778599858284,
-0.056816864758729935,
-0.05659079924225807,
0.06380646675825119,
0.00047047666157595813,
-0.0230578500777483,
-0.013110727071762085,
-0.04646972939372063,
-0.014342701062560081,
-0.09772536903619766,
-0.03013855591416359,
0.02937101572751999,
-0.008085314184427261,
-0.043733734637498856,
0.0033700624480843544,
-0.016603372991085052,
-0.0433986559510231,
-0.005919103976339102,
-0.03273268789052963,
-0.01714830845594406,
-0.038368046283721924,
-0.0341615155339241,
-0.0705399140715599,
0.0006652139127254486,
-0.00929482001811266,
0.0018122837645933032,
-0.02452392689883709,
-0.035186704248189926,
0.002579890890046954,
-0.017774205654859543,
0.03297535330057144,
-0.024295879527926445,
0.0010446318192407489,
-0.00033645000075921416
] | null |
547 |
RULEBREAKERS: Challenging LLMs at the Crossroads between Formal Logic and Human-like Reasoning
|
https://openreview.net/forum?id=uqpML2nbIz
|
[
"Jason Chan",
"Robert J. Gaizauskas",
"Zhixue Zhao"
] |
Poster
|
Formal logic enables computers to reason in natural language by representing sentences in symbolic forms and applying rules to derive conclusions. However, in what our study characterizes as "rulebreaker" scenarios, this method can lead to conclusions that are typically not inferred or accepted by humans given their common sense and factual knowledge. Inspired by works in cognitive science, we create RULEBREAKERS, the first dataset for rigorously evaluating the ability of large language models (LLMs) to recognize and respond to rulebreakers (versus non-rulebreakers) in a knowledge-informed and human-like manner. Evaluating seven LLMs, we find that most models achieve mediocre accuracy on RULEBREAKERS and exhibit some tendency to over-rigidly apply logical rules, unlike what is expected from typical human reasoners. Further analysis suggests that this apparent failure is potentially associated with the models' poor utilization of their world knowledge and their attention distribution patterns. Whilst revealing a limitation of current LLMs, our study also provides a timely counterbalance to a growing body of recent works that propose methods relying on formal logic to improve LLMs' general reasoning capabilities, highlighting their risk of further increasing divergence between LLMs and human-like reasoning.
|
reasoning, logic, human-like reasoning, cognitive science, large language models
| null | 13,113 |
2410.16502
|
[
-0.023790426552295685,
-0.019807597622275352,
-0.0259116068482399,
0.008460191078484058,
0.060824207961559296,
-0.01733618788421154,
0.022449232637882233,
0.019675690680742264,
-0.037312284111976624,
0.005044744350016117,
-0.030856044963002205,
0.06597026437520981,
-0.05142669007182121,
-0.004208178725093603,
0.01686885394155979,
0.05151403322815895,
-0.002942575141787529,
-0.002049204893410206,
0.02755165472626686,
-0.04584662616252899,
0.007151519879698753,
-0.0022067828103899956,
0.03566969186067581,
0.0045177750289440155,
0.061081819236278534,
0.02010570652782917,
0.032293252646923065,
-0.0010725901229307055,
-0.02880101092159748,
0.02105105295777321,
0.027547398582100868,
0.009722111746668816,
-0.00024885658058337867,
-0.006758435163646936,
-0.03337680920958519,
0.015612888149917126,
-0.037486784160137177,
0.008035305887460709,
0.004426089581102133,
0.004391205031424761,
-0.045641303062438965,
0.0618855357170105,
0.0023163629230111837,
0.015296527184545994,
-0.0777936652302742,
0.00774742616340518,
-0.0941280722618103,
0.02971477247774601,
0.015223975293338299,
-0.01888957992196083,
-0.11051367223262787,
0.02600046433508396,
-0.017804229632019997,
-0.017726987600326538,
0.00497672613710165,
0.03437750041484833,
0.04515187814831734,
-0.11070677638053894,
0.009240798652172089,
-0.02708440274000168,
-0.02621282823383808,
0.022058861330151558,
-0.0012732059694826603,
-0.011050999164581299,
-0.027743279933929443,
-0.021586300805211067,
-0.01783601939678192,
0.017309589311480522,
-0.059367839246988297,
-0.01350103784352541,
-0.04447336867451668,
0.014812231063842773,
-0.022788608446717262,
0.001025669858790934,
0.014445801265537739,
-0.039827264845371246,
0.010224183090031147,
0.04316205903887749,
0.03671298921108246,
-0.013518721796572208,
-0.017230970785021782,
0.03823236748576164,
0.029179448261857033,
0.0442010797560215,
0.01977590098977089,
0.0008110395283438265,
-0.014829418621957302,
-0.03789115697145462,
-0.06654370576143265,
0.03393421694636345,
0.03215759992599487,
-0.052553556859493256,
0.014046440832316875,
0.052026767283678055,
0.035065993666648865,
0.027031971141695976,
0.004031189251691103,
0.03564086928963661,
-0.00853482075035572,
0.0057672676630318165,
-0.015884198248386383,
-0.028998756781220436,
0.04072779044508934,
0.02282344363629818,
-0.10860062390565872,
0.0014300879556685686,
-0.012438904494047165,
-0.012040247209370136,
0.014324459247291088,
-0.002247358439490199,
-0.008974741213023663,
-0.008239359594881535,
0.03268025815486908,
-0.011518712155520916,
-0.06077292934060097,
0.05161597207188606,
0.009501690976321697,
0.01661878451704979,
0.022723263129591942,
0.05696210637688637,
0.02468821592628956,
0.0030958119314163923,
0.00585206737741828,
0.06272610276937485,
-0.032260533422231674,
-0.0123966159299016,
-0.02337159588932991,
0.02270478755235672,
-0.020287634804844856,
-0.04480602592229843,
-0.0024125450290739536,
0.035925596952438354,
-0.01004556380212307,
-0.006065303459763527,
-0.022042809054255486,
0.028912082314491272,
0.007871209643781185,
-0.014853681437671185,
0.02898905798792839,
0.04359927773475647,
0.024485114961862564,
-0.016744423657655716,
0.07916282117366791,
-0.026083217933773994,
0.055359575897455215,
-0.00960749015212059,
-0.005933563690632582,
0.009794581681489944,
-0.008087881840765476,
-0.022794155403971672,
0.013187824748456478,
-0.01715933531522751,
0.0027762423269450665,
-0.04116183891892433,
0.04123123362660408,
0.06260251998901367,
0.04437572881579399,
-0.02486756630241871,
0.006681929808109999,
0.010242093354463577,
-0.007123712915927172,
0.01547548919916153,
-0.02418198063969612,
-0.011447364464402199,
0.023710845038294792,
-0.06438153982162476,
0.004350149538367987,
0.0008204486221075058,
-0.03810600936412811,
0.0522996187210083,
-0.017178364098072052,
-0.03025323711335659,
0.07274231314659119,
-0.0404646210372448,
-0.0014940454857423902,
-0.0069503262639045715,
0.06531718373298645,
0.007473017554730177,
0.06180502474308014,
0.023826785385608673,
-0.060695793479681015,
-0.006299418397247791,
-0.05078652501106262,
0.005899745970964432,
0.010674258694052696,
0.016128191724419594,
0.07633727788925171,
-0.05721285939216614,
0.03809203952550888,
0.016856933012604713,
-0.07301466166973114,
-0.01698792167007923,
0.04336196556687355,
0.03614366054534912,
0.07195422798395157,
-0.0039710383862257,
-0.0039465660229325294,
0.06559260189533234,
-0.006879645865410566,
0.07958312332630157,
0.04424683377146721,
0.009755493141710758,
0.06619530916213989,
-0.0025191085878759623,
-0.034148748964071274,
0.03948657587170601,
0.025603733956813812,
-0.042349494993686676,
-0.040627073496580124,
0.025942254811525345,
-0.035294387489557266,
0.0055101178586483,
0.039668262004852295,
-0.011067118495702744,
0.016751345247030258,
-0.0125720901414752,
0.008059012703597546,
-0.005266876891255379,
0.017739297822117805,
-0.03565116599202156,
0.02585107833147049,
-0.00817898940294981,
0.03383933752775192,
0.005840958096086979,
-0.025194913148880005,
0.08166294544935226,
0.04539618641138077,
-0.0019541862420737743,
-0.018322192132472992,
0.033459462225437164,
-0.010733040980994701,
0.017061306163668633,
0.017627904191613197,
-0.01677463948726654,
0.020926428958773613,
-0.026802390813827515,
0.006313474848866463,
-0.04041879251599312,
0.05112047865986824,
-0.023450423032045364,
-0.0011441971873864532,
0.036664269864559174,
-0.03833741322159767,
0.0859265998005867,
-0.029947275295853615,
0.0025174173060804605,
0.04029310494661331,
-0.005941953044384718,
0.011329456232488155,
-0.021170005202293396,
-0.019165145233273506,
-0.012182307429611683,
0.01201828196644783,
0.015107149258255959,
-0.01699615642428398,
-0.04259553179144859,
-0.01869709976017475,
-0.0024927619379013777,
0.062270455062389374,
0.03921055793762207,
0.00018058349087368697,
0.010521561838686466,
0.0006316470098681748,
-0.05659698322415352,
0.01877633109688759,
-0.10077986121177673,
-0.022272907197475433,
-0.002388246124610305,
0.02467980422079563,
0.010330415330827236,
0.02720167115330696,
-0.004676655866205692,
0.052696723490953445,
-0.013509433716535568,
-0.010248695500195026,
0.021689917892217636,
0.025914696976542473,
-0.03175557777285576,
-0.05142427608370781,
0.004229437559843063,
-0.011925831437110901,
0.06035678833723068,
-0.023027917370200157,
-0.015970978885889053,
-0.025461196899414062,
-0.04263688251376152,
0.0010585520649328828,
-0.061118680983781815,
0.01562831923365593,
0.0517786368727684,
0.004702463746070862,
0.013389873318374157,
0.0019750359933823347,
0.007404352072626352,
0.03487265110015869,
0.03287845477461815,
0.02276952937245369,
-0.005455393809825182,
-0.0048462990671396255,
0.03192683681845665,
-0.030069952830672264,
0.03097470849752426,
-0.003959187306463718,
0.06103190407156944,
0.014088813215494156,
0.0068518598563969135,
0.01167644839733839,
0.03715658560395241,
-0.26147785782814026,
-0.02255340851843357,
0.018221193924546242,
-0.03922472149133682,
0.028893856331706047,
-0.03068671002984047,
0.07738245278596878,
-0.04703067988157272,
-0.01196474488824606,
0.011947175487875938,
0.030193636193871498,
0.03361023962497711,
0.008883400820195675,
0.0414472259581089,
0.04884450137615204,
0.039683010429143906,
-0.029851308092474937,
-0.03931781277060509,
-0.0010683550499379635,
0.03684009984135628,
-0.013868427835404873,
-0.0502605102956295,
-0.03619703650474548,
0.07435572892427444,
0.004955651238560677,
0.061068207025527954,
-0.047208480536937714,
-0.006030017975717783,
-0.055716224014759064,
-0.0005835431511513889,
0.0015001589199528098,
-0.027423586696386337,
-0.04041111841797829,
0.0013519495259970427,
0.002811125013977289,
0.015236219391226768,
0.05550504848361015,
-0.0029463167302310467,
0.04942510649561882,
0.04706580936908722,
0.0034031199757009745,
-0.017718207091093063,
-0.007109737955033779,
0.004360949620604515,
0.0463079996407032,
0.008070426061749458,
-0.041747983545064926,
-0.048437539488077164,
-0.03363218158483505,
0.03410613164305687,
-0.03083033114671707,
-0.021212421357631683,
0.002553940052166581,
-0.014458433724939823,
0.017715273424983025,
-0.020234035328030586,
0.014707827009260654,
-0.04108620062470436,
-0.05334564670920372,
-0.02233407087624073,
0.015785664319992065,
-0.02258087694644928,
-0.017454026266932487,
-0.01831548474729061,
-0.0339907705783844,
-0.03232083097100258,
-0.062149178236722946,
-0.04058270528912544,
0.06984277814626694,
0.036793243139982224,
-0.010022793896496296,
0.019890187308192253,
-0.01839982345700264,
-0.11032239347696304,
-0.02403637021780014,
0.014834911562502384,
-0.018555091693997383,
-0.03788953274488449,
0.02175397239625454,
0.023877017199993134,
-0.02879069373011589,
-0.026110045611858368,
-0.035102032124996185,
0.042050641030073166,
0.017344653606414795,
-0.004619420971721411,
0.017327580600976944,
-0.026173660531640053,
-0.04731869697570801,
-0.015987509861588478,
0.026745682582259178,
0.04234996810555458,
-0.030232751742005348,
0.027270536869764328,
0.0599232092499733,
0.03537631034851074,
0.014006263576447964,
0.05379938706755638,
0.04768838733434677,
0.015213378705084324,
0.017277400940656662,
-0.06870992481708527,
0.03972155228257179,
-0.0333804190158844,
-0.033480286598205566,
0.0199478417634964,
-0.0597553551197052,
0.005595613736659288,
0.008019715547561646,
-0.02609097771346569,
-0.028241261839866638,
-0.026006342843174934,
0.006600100081413984,
0.007393497042357922,
-0.022822244092822075,
-0.021270744502544403,
-0.026260854676365852,
0.03674134239554405,
0.017235079780220985,
-0.01334700919687748,
-0.03915848582983017,
0.03438171371817589,
-0.022836513817310333,
0.003225283930078149,
-0.04470423609018326,
-0.023815659806132317,
0.00391831761226058,
-0.046306315809488297,
-0.012674214318394661,
-0.00156003562733531,
-0.0028132174629718065,
0.005516993813216686,
-0.012625626288354397,
0.02233905717730522,
0.048773057758808136,
-0.015322387218475342,
-0.026427967473864555,
-0.012506798841059208,
-0.005406477488577366,
0.008370647206902504,
-0.01646464131772518,
-0.030045395717024803,
0.05931955948472023,
0.0294271819293499,
0.03258894756436348,
-0.015695353969931602,
0.011123685166239738,
-0.0008060627733357251,
0.021905526518821716,
0.03452438488602638,
0.02536858804523945,
-0.03791851922869682,
0.025516973808407784,
-0.028431417420506477,
0.023533670231699944,
-0.010223000310361385,
0.025967931374907494,
0.011399682611227036,
0.002431304892525077,
-0.10627180337905884,
0.03984222933650017,
-0.008571209385991096,
0.01893438771367073,
-0.019264696165919304,
0.011372282169759274,
0.05110562965273857,
-0.04247622936964035,
0.004274916369467974,
-0.00390725489705801,
0.013570956885814667,
0.0092577263712883,
-0.028972117230296135,
-0.016846654936671257,
0.031134186312556267,
-0.028464268893003464,
0.015588309615850449,
0.015202680602669716,
-0.030063487589359283,
-0.03963649645447731,
0.031680602580308914,
-0.034151945263147354,
-0.042678218334913254,
-0.0008882636902853847,
0.0020884524565190077,
0.07040216773748398,
0.028006166219711304,
0.034404754638671875,
0.010144892148673534,
-0.060959503054618835,
-0.011850479058921337,
-0.0017061886610463262,
0.01676463522017002,
0.005211173091083765,
-0.03752428665757179,
-0.07343219965696335,
-0.04676174744963646,
0.014293886721134186,
0.00877069216221571,
0.007007880602031946,
-0.008895771577954292,
0.004213853273540735,
-0.039623770862817764,
-0.046740345656871796,
-0.04057604447007179,
0.020772922784090042,
-0.07906422764062881,
0.01564108021557331,
0.01684330217540264,
0.01590745896100998,
0.04517398402094841,
-0.035664912313222885,
-0.04321133345365524,
-0.04928896948695183,
-0.057608429342508316,
0.021193085238337517,
-0.048933498561382294,
-0.017139095813035965,
-0.02383294887840748,
0.0035309523809701204,
-0.011403016746044159,
-0.0009982660412788391,
-0.0201861672103405,
-0.003910427913069725,
-0.02616032026708126,
-0.006525886245071888,
0.046994052827358246,
-0.021029731258749962,
-0.039535973221063614,
0.04030802845954895,
-0.04699830710887909,
0.015588081441819668,
-0.0549083836376667,
0.019751036539673805,
0.01606740429997444,
0.015914546325802803,
-0.01306605339050293,
-0.010703617706894875,
0.021647511050105095,
-0.00559637974947691,
-0.01404579821974039,
0.012939815409481525,
-0.019683482125401497,
-0.011705249547958374,
-0.003708065487444401,
0.015606816858053207,
0.05120626464486122,
0.030204415321350098,
-0.01489220280200243,
0.0002692287089303136,
0.0018512136302888393,
-0.015808096155524254,
-0.006365715991705656,
-0.010884582065045834,
-0.010427607223391533,
0.055196359753608704,
-0.03470039740204811,
-0.01583840698003769,
-0.04685140773653984,
-0.02735445834696293,
-0.0008998182602226734,
-0.030253246426582336,
0.02097235433757305,
-0.04994897171854973,
0.049427375197410583,
-0.007110228296369314,
0.025897208601236343,
-0.011043427512049675,
-0.017022542655467987,
0.05395561084151268,
-0.04610282927751541,
-0.000916938588488847,
-0.08569664508104324,
0.0058600883930921555,
0.04679454490542412,
-0.04951976612210274,
-0.02689025178551674,
-0.028896940872073174,
-0.0373392179608345,
0.022456064820289612,
-0.0028187711723148823,
-0.035769857466220856,
0.02200399339199066,
0.006162743549793959,
-0.014825720340013504,
0.07733986526727676,
-0.046056702733039856,
0.00004152880501351319,
-0.0023310452233999968,
-0.034836962819099426,
-0.01695168763399124,
-0.04172057658433914,
0.05991639196872711,
-0.012688267976045609,
0.004438373260200024,
0.023112213239073753,
0.0004412790294736624,
0.008986858651041985,
0.06486500799655914,
0.03653809800744057,
0.017747897654771805,
-0.03935267776250839,
0.05107356980443001,
0.036341216415166855,
0.019230199977755547,
-0.008855977095663548,
-0.004337761085480452,
-0.029207905754446983,
-0.06633452326059341,
0.0726778507232666,
-0.003942571580410004,
0.004553557373583317,
-0.04855135455727577,
0.08959745615720749,
0.016832085326313972,
-0.03999975696206093,
-0.007819026708602905,
-0.006284141447395086,
-0.04499860480427742,
0.021938996389508247,
0.004802021663635969,
-0.004808180034160614,
0.007946587167680264,
0.04769396781921387,
0.0019464453216642141,
0.07201413810253143,
0.07862334698438644,
0.02234872244298458,
-0.01706600934267044,
0.0029758382588624954,
0.031403567641973495,
0.0538344532251358,
0.06296664476394653,
0.013610432855784893,
0.09126931428909302,
-0.06095859035849571,
-0.051915984600782394,
0.010226817801594734,
0.006581268738955259,
0.016472674906253815,
-0.04518849030137062,
0.034783441573381424,
0.060319431126117706,
-0.0007336982525885105,
0.046566691249608994,
-0.02712472528219223,
-0.009952791035175323,
0.05928684026002884,
0.02438574656844139,
0.01456911675632,
0.07034815102815628,
0.0328182689845562,
-0.011740656569600105,
-0.02493049018085003,
-0.018889140337705612,
0.020665178075432777,
-0.05117655172944069,
-0.03385056182742119,
-0.006872733123600483,
-0.014442323707044125,
0.01170581579208374,
-0.016855690628290176,
0.0923767015337944,
0.11501960456371307,
-0.006376062054187059,
-0.012244160287082195,
0.05959930643439293,
0.035672664642333984,
-0.0003978125751018524,
0.03331052511930466,
0.020229272544384003,
-0.006537177599966526,
0.01741219498217106,
-0.032211750745773315,
0.02513466216623783,
-0.014335394836962223,
-0.021812355145812035,
0.028909066691994667,
-0.03603715822100639,
-0.06715674698352814,
0.009043077006936073,
0.023814309388399124,
-0.0355369858443737,
-0.03707010671496391,
-0.019482357427477837,
-0.03623167797923088,
-0.06276671588420868,
-0.033199723809957504,
0.0412561409175396,
-0.001244890270754695,
-0.024386920034885406,
0.007940157316625118,
-0.012448909692466259,
-0.010734505020081997,
-0.0023741391487419605,
-0.06638941168785095,
0.017217641696333885,
0.044761281460523605,
0.025411158800125122,
-0.02778174728155136,
0.0390402153134346,
0.002099237870424986,
-0.03403962031006813,
-0.018397048115730286,
0.019778145477175713,
-0.0028201621025800705,
-0.003982737194746733,
0.00047616861411370337,
-0.03186798840761185,
-0.07662305980920792,
-0.018142659217119217,
-0.011382421478629112,
-0.02952844835817814,
-0.06877601891756058,
0.03850162774324417,
-0.03157556802034378,
0.030039910227060318,
0.09099317342042923,
0.04924112185835838,
0.025051718577742577,
-0.027134180068969727,
-0.014812130481004715,
0.00861082412302494,
0.0069872550666332245,
0.03120151162147522,
-0.026604603976011276,
0.05140215530991554,
0.007383223157376051,
-0.042447227984666824,
-0.06691015511751175,
0.009086523205041885,
-0.013603532686829567,
-0.037186335772275925,
-0.040377095341682434,
-0.033107634633779526,
0.013486348092556,
-0.11552555114030838,
-0.02591400407254696,
0.034322962164878845,
-0.024520911276340485,
-0.04810928553342819,
0.014303034171462059,
-0.025414086878299713,
-0.04622500389814377,
0.011667665094137192,
-0.04959673434495926,
-0.004213987849652767,
-0.021065639331936836,
-0.06812608987092972,
-0.028419744223356247,
0.00197001569904387,
0.003764517605304718,
0.018375858664512634,
-0.05341300368309021,
-0.033510472625494,
-0.016689321026206017,
0.01907929964363575,
0.021374912932515144,
-0.005158260464668274,
0.015777375549077988,
-0.06369367241859436
] | null |
548 |
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation
|
https://openreview.net/forum?id=cZi1njoRT6
|
[
"Sadegh Mahdavi",
"Muchen Li",
"Kaiwen Liu",
"Christos Thrampoulidis",
"Leonid Sigal",
"Renjie Liao"
] |
Poster
|
Advances in Large Language Models (LLMs) have sparked interest in their ability to solve Olympiad-level math problems.
However, the training and evaluation of these models are constrained by the limited size and quality of available datasets, as creating large-scale data for such advanced problems requires extensive effort from human experts.
In addition, current benchmarks are prone to contamination, leading to unreliable evaluations.
In this paper, we present an automated pipeline that leverages the rich resources of the Art of Problem Solving (AoPS) forum, which predominantly features Olympiad-level problems and community-driven solutions.
Using open-source LLMs, we develop a method to extract question-answer pairs from the forum, resulting in **AoPS-Instruct**, a dataset of more than 600,000 high-quality QA pairs.
Our experiments demonstrate that fine-tuning LLMs on AoPS-Instruct improves their reasoning abilities across various benchmarks.
Moreover, we build an automatic pipeline that introduces **LiveAoPSBench**, an evolving evaluation set with timestamps, derived from the latest forum data, providing a contamination-resistant benchmark for assessing LLM performance.
Notably, we observe a significant decline in LLM performance over time, suggesting their success on older examples may stem from pre-training exposure rather than true reasoning ability.
Our work presents a scalable approach to creating and maintaining large-scale, high-quality datasets for advanced math reasoning, offering valuable insights into the capabilities and limitations of LLMs in this domain.
|
Mathematical Reasoning, Large Language Models, Evaluation
|
We propose a new dataset and benchmark for training and evaluating mathematical reasoning in LLMs.
| 13,108 |
2501.14275
|
[
-0.01962120831012726,
0.00537422439083457,
-0.02210569567978382,
0.02690918557345867,
0.059604428708553314,
0.01494690589606762,
0.005451085977256298,
0.018697114661335945,
-0.03986198455095291,
0.012207298539578915,
-0.012807407416403294,
0.010728058405220509,
-0.07194597274065018,
-0.00973992608487606,
-0.0014365820679813623,
0.04620837792754173,
0.012002534233033657,
0.007702070754021406,
0.006397572811692953,
0.02707049809396267,
0.014594357460737228,
-0.01964263617992401,
0.011663326993584633,
0.01808301731944084,
0.006874783430248499,
0.0249104592949152,
0.03967617079615593,
0.024390924721956253,
-0.044560618698596954,
-0.014398465864360332,
0.038734544068574905,
-0.0064034368842840195,
0.0506167970597744,
-0.024963701143860817,
-0.0030343434773385525,
0.0016073526348918676,
-0.041729699820280075,
0.025019420310854912,
0.014498933218419552,
0.008694003336131573,
-0.034239262342453,
0.022133640944957733,
-0.021112481132149696,
-0.00017353172006551176,
-0.06681352853775024,
0.003669767640531063,
-0.09845136106014252,
0.02205830253660679,
0.0005243120831437409,
-0.023444071412086487,
-0.12852562963962555,
0.04235958680510521,
-0.008453929796814919,
-0.00422713253647089,
-0.0008118334226310253,
0.041719112545251846,
0.05840841308236122,
-0.09826157242059708,
0.015104904770851135,
-0.03966495767235756,
-0.04346785694360733,
0.032793376594781876,
0.002715283539146185,
0.0070854187943041325,
-0.0002747024118434638,
-0.004680998157709837,
-0.0027575513813644648,
0.02561195194721222,
-0.08182012289762497,
-0.02451431192457676,
-0.024980392307043076,
0.0011616561096161604,
-0.03521532937884331,
-0.026814868673682213,
0.006278343498706818,
-0.06721106916666031,
0.014358233660459518,
0.05955325439572334,
0.04728955775499344,
-0.02485954575240612,
-0.004734707530587912,
0.016746334731578827,
0.025706851854920387,
0.04758238419890404,
0.031478166580200195,
0.01862729899585247,
-0.04410738870501518,
-0.025881599634885788,
-0.06556003540754318,
0.030319951474666595,
0.030936945229768753,
-0.05868634581565857,
0.026107221841812134,
0.028261352330446243,
0.04510169476270676,
0.006737567018717527,
0.013968134298920631,
0.0353015772998333,
0.0007956686313264072,
-0.009397129528224468,
-0.010019424371421337,
-0.05258749797940254,
0.043915558606386185,
0.0190565325319767,
-0.10196284204721451,
-0.016400407999753952,
0.00044292767415754497,
-0.020579645410180092,
-0.000980283715762198,
0.016740452498197556,
-0.01665261946618557,
-0.0178613793104887,
0.01747995987534523,
-0.046196602284908295,
-0.09555625170469284,
0.03245805576443672,
0.006733846850693226,
0.040993060916662216,
-0.007387337740510702,
0.030808810144662857,
0.0217870082706213,
0.045281849801540375,
0.022283203899860382,
0.08128715306520462,
-0.007344982586801052,
0.034980714321136475,
0.0010882599744945765,
0.05093976482748985,
-0.022477447986602783,
-0.02407587505877018,
0.012578240595757961,
0.03658868744969368,
0.018909037113189697,
0.009552812203764915,
0.007639959454536438,
0.019567156210541725,
-0.027961667627096176,
-0.004542442969977856,
0.03676845133304596,
0.023653658106923103,
0.013885194435715675,
-0.016144318506121635,
0.07531832158565521,
-0.032398153096437454,
0.039784714579582214,
-0.004994804970920086,
-0.014577478170394897,
-0.01424044743180275,
-0.013502508401870728,
-0.017660880461335182,
0.02491452731192112,
-0.003491740208119154,
-0.008813849650323391,
-0.07591987401247025,
0.03373877704143524,
0.051349543035030365,
0.033419981598854065,
0.0008993467781692743,
-0.0025561759248375893,
0.022118017077445984,
0.002204381860792637,
0.02265733666718006,
-0.06131375581026077,
-0.008450471796095371,
-0.029526103287935257,
-0.05167916789650917,
0.03794754669070244,
0.00023627423797734082,
-0.057816918939352036,
0.00990280881524086,
-0.03958817943930626,
-0.024732407182455063,
0.08540339767932892,
-0.019069893285632133,
-0.011129053309559822,
-0.033614981919527054,
0.057411983609199524,
0.017050517722964287,
0.0752149224281311,
0.0003285357670392841,
-0.06301901489496231,
-0.023888839408755302,
-0.022550232708454132,
0.014951309189200401,
0.015585108660161495,
-0.024731216952204704,
0.09386394172906876,
-0.0503862127661705,
0.03850743919610977,
0.01054319366812706,
-0.08282212167978287,
-0.005003457888960838,
0.020522182807326317,
0.018433330580592155,
0.06429070234298706,
0.012720614671707153,
-0.015198411419987679,
0.030910126864910126,
0.007376661524176598,
0.06091456487774849,
0.03826030343770981,
0.01889423280954361,
0.04892326518893242,
-0.011760246939957142,
-0.026663094758987427,
0.028721805661916733,
0.049238428473472595,
-0.06747734546661377,
-0.0531892403960228,
0.002050042385235429,
-0.028759179636836052,
-0.0011686035431921482,
0.021052967756986618,
-0.015010641887784004,
0.0027165845967829227,
0.005671603139489889,
-0.02003815956413746,
-0.008774280548095703,
0.02039029821753502,
-0.05404338613152504,
0.05232426896691322,
-0.008127178065478802,
0.021368632093071938,
-0.02086801640689373,
-0.037812355905771255,
0.08787307143211365,
0.07113732397556305,
-0.023555545136332512,
-0.013639829121530056,
0.024371745064854622,
0.003984290640801191,
0.016364410519599915,
-0.0010600152891129255,
-0.05368868634104729,
0.034127142280340195,
-0.04917144030332565,
0.01004257332533598,
-0.032842159271240234,
0.08735864609479904,
-0.022827621549367905,
-0.02418002299964428,
0.07083413004875183,
-0.0056266337633132935,
0.06223412975668907,
0.006427805870771408,
0.011044061742722988,
0.031324293464422226,
0.0016438317252323031,
-0.003878363873809576,
-0.04500048980116844,
-0.021376214921474457,
-0.002757091075181961,
0.0060364315286278725,
-0.00824013352394104,
-0.029726140201091766,
-0.04622703418135643,
-0.02731705643236637,
-0.014464245177805424,
0.05935412645339966,
0.02591470070183277,
-0.005785093642771244,
0.02835744060575962,
0.017214590683579445,
-0.059597596526145935,
0.0189654678106308,
-0.10750176757574081,
-0.032954491674900055,
-0.014060731045901775,
0.022734109312295914,
-0.0131273427978158,
0.033371150493621826,
0.012842468917369843,
0.02902400866150856,
-0.033091951161623,
-0.02311188541352749,
0.019110430032014847,
0.012320407666265965,
-0.047596417367458344,
-0.0718134418129921,
-0.03535068780183792,
0.018870282918214798,
0.059019144624471664,
-0.047697462141513824,
-0.023012883961200714,
-0.036084216088056564,
-0.01865904964506626,
0.0034605611581355333,
-0.07341978698968887,
0.007387830410152674,
0.027838250622153282,
0.01751491241157055,
0.02873089909553528,
-0.06216401606798172,
-0.006056537851691246,
0.07112713158130646,
0.03994467109441757,
0.019954796880483627,
-0.026404445990920067,
0.0022260467521846294,
0.04053206369280815,
-0.017830677330493927,
0.023243719711899757,
-0.011875146068632603,
0.04010312631726265,
-0.033944904804229736,
0.0006447071791626513,
-0.003594969166442752,
-0.001398831489495933,
-0.25469017028808594,
-0.016525819897651672,
-0.020316433161497116,
-0.009637510403990746,
0.032269492745399475,
-0.021375570446252823,
0.04958528280258179,
-0.02435048669576645,
-0.04632915183901787,
-0.017896762117743492,
0.027778757736086845,
0.04227937012910843,
0.006282007321715355,
0.06075194105505943,
0.0465659461915493,
0.04870781674981117,
0.001059874426573515,
-0.04049348458647728,
0.011687692254781723,
0.026939406991004944,
-0.01040347758680582,
-0.056588735431432724,
-0.0008375506149604917,
0.04991763085126877,
-0.001401849091053009,
0.06101219728589058,
-0.06783901154994965,
0.0005059369141235948,
-0.043211642652750015,
-0.014444456435739994,
-0.025408005341887474,
-0.035325873643159866,
-0.028752267360687256,
0.015468407422304153,
-0.0169693510979414,
-0.0009872319642454386,
0.05391411855816841,
-0.04945937544107437,
0.03448672592639923,
0.04174751043319702,
0.0024028148036450148,
-0.048607245087623596,
-0.043569620698690414,
-0.027038350701332092,
0.05377049371600151,
0.0438343845307827,
-0.04335571452975273,
-0.026001961901783943,
-0.01098779309540987,
0.0279367808252573,
-0.0031970839481800795,
-0.017890408635139465,
-0.007287016604095697,
-0.014973793178796768,
-0.018362004309892654,
-0.035968512296676636,
-0.015318209305405617,
-0.029966194182634354,
-0.0116170858964324,
0.0117801483720541,
0.00003963617928093299,
-0.03440903127193451,
-0.02463659830391407,
-0.03585511073470116,
-0.05093451589345932,
-0.05495258793234825,
-0.03668247535824776,
-0.03993551805615425,
0.061559032648801804,
0.049061618745326996,
-0.005002961494028568,
0.022282389923930168,
-0.023425331339240074,
-0.08745565265417099,
-0.026133745908737183,
0.027943748980760574,
0.004539779387414455,
-0.017837664112448692,
0.015617389231920242,
0.03348914906382561,
-0.07671152055263519,
-0.05039093643426895,
-0.0004693639057222754,
0.028924567624926567,
0.020755665376782417,
-0.021156039088964462,
0.0009147914825007319,
-0.03721689060330391,
-0.005743228830397129,
-0.02278226800262928,
0.050451379269361496,
0.024866344407200813,
0.002997133182361722,
0.00983970146626234,
0.07217440754175186,
0.022103993222117424,
0.025688117370009422,
0.06973474472761154,
0.040064819157123566,
0.02369033172726631,
-0.010970049537718296,
-0.06748361885547638,
0.006157782394438982,
-0.03668363392353058,
-0.024281300604343414,
0.02290402725338936,
-0.05181368812918663,
-0.006660300772637129,
0.03355839103460312,
-0.010424250736832619,
-0.03136516362428665,
-0.048169076442718506,
0.0008697568555362523,
0.005442161113023758,
-0.018352756276726723,
-0.017504319548606873,
0.03237968683242798,
0.03534994274377823,
0.03635072708129883,
-0.013795992359519005,
-0.05527959018945694,
0.047511130571365356,
-0.004051143769174814,
0.009299918077886105,
-0.0331333689391613,
-0.013206755742430687,
-0.0040750387124717236,
-0.014226634055376053,
0.004473046399652958,
0.003387629520148039,
0.003982136026024818,
0.03092445805668831,
-0.005797639023512602,
0.014157410711050034,
0.047173116356134415,
-0.023306909948587418,
-0.012621302157640457,
0.0035625440068542957,
0.007617561612278223,
0.015041453763842583,
0.04139989614486694,
-0.010059020482003689,
0.015298384241759777,
0.017449529841542244,
0.045619502663612366,
0.008304920047521591,
0.00021507464407477528,
-0.007233577314764261,
-0.01053545717149973,
0.017786763608455658,
0.04065072163939476,
-0.05933575704693794,
0.04200601577758789,
-0.030913222581148148,
0.03763625770807266,
-0.01734416000545025,
-0.0018705888651311398,
-0.010571280494332314,
0.0189170241355896,
-0.0651765838265419,
0.030381370335817337,
0.0294283926486969,
-0.009372163563966751,
0.016824236139655113,
0.020209988579154015,
0.041941165924072266,
-0.0405765064060688,
0.030182836577296257,
0.01593240536749363,
0.011320864781737328,
0.021813230589032173,
-0.045346587896347046,
-0.023950235918164253,
-0.004401390440762043,
-0.04248291626572609,
-0.00008202118624467403,
0.03529933840036392,
-0.03361250087618828,
-0.047787997871637344,
0.024845745414495468,
-0.015992436558008194,
-0.0556955486536026,
0.01622859388589859,
0.0005619022995233536,
0.0742248147726059,
0.016809381544589996,
0.02924758940935135,
-0.01654117740690708,
-0.03308916091918945,
0.015919335186481476,
0.0005446122959256172,
-0.013315454125404358,
0.01048518717288971,
-0.01541777141392231,
-0.06816741079092026,
-0.03811326250433922,
0.028940903022885323,
0.010227447375655174,
-0.021989574655890465,
-0.01550344005227089,
-0.014460770413279533,
-0.013628783635795116,
-0.05070585384964943,
-0.018810603767633438,
0.01564551517367363,
-0.08595338463783264,
-0.011774973943829536,
0.01951788365840912,
0.035672739148139954,
0.02924618124961853,
-0.033061057329177856,
-0.04938755929470062,
-0.04128149524331093,
-0.012831910513341427,
0.002912047551944852,
-0.018836744129657745,
-0.02114938199520111,
0.010072997771203518,
0.0021851290948688984,
-0.010866585187613964,
0.014502829872071743,
0.0009830869967117906,
-0.006693392992019653,
-0.02704787626862526,
-0.004508613143116236,
0.053996581584215164,
-0.04524988308548927,
-0.019255978986620903,
0.02563907764852047,
-0.0398968942463398,
0.04608607664704323,
-0.05839448422193527,
0.025574328377842903,
0.026733431965112686,
0.03793489560484886,
0.005294072441756725,
-0.04980438947677612,
0.0204530730843544,
-0.004342103376984596,
-0.014650351367890835,
0.0031670071184635162,
-0.04447238892316818,
-0.002022505272179842,
-0.0034849767107516527,
-0.0013773933751508594,
0.04763348400592804,
0.030111834406852722,
-0.006207498721778393,
0.009069530293345451,
-0.0068788835778832436,
0.02814318612217903,
0.005476396530866623,
-0.0017072763293981552,
-0.0248787309974432,
0.06776874512434006,
-0.029859468340873718,
-0.01300879381597042,
-0.07824673503637314,
-0.05973123759031296,
-0.00228979648090899,
-0.06302279978990555,
0.02070012502372265,
-0.04052223265171051,
0.03977794572710991,
0.014868357218801975,
0.0502319298684597,
0.03748169541358948,
-0.02488773874938488,
0.05771799013018608,
-0.055336032062768936,
-0.006060268264263868,
-0.09022866934537888,
0.011414211243391037,
0.07601213455200195,
-0.038212258368730545,
-0.000388423097319901,
0.022618049755692482,
-0.04570729658007622,
0.04079534113407135,
-0.0009461860172450542,
-0.052201926708221436,
0.02241191826760769,
-0.022234506905078888,
-0.029399024322628975,
0.061567272990942,
-0.029401622712612152,
-0.0037997965700924397,
0.020447934046387672,
-0.03383879363536835,
0.019506331533193588,
-0.029669471085071564,
0.044467195868492126,
-0.025922439992427826,
0.022706996649503708,
-0.006704856641590595,
0.01163907628506422,
-0.0011161393485963345,
0.04616641253232956,
0.031543977558612823,
0.02168935164809227,
-0.027871381491422653,
0.07892893999814987,
0.034940630197525024,
0.02803719788789749,
0.010373211465775967,
0.021389201283454895,
-0.026086319237947464,
-0.05490817129611969,
0.046791620552539825,
-0.00391806848347187,
-0.012531379237771034,
-0.05561499670147896,
0.07256218791007996,
0.025262372568249702,
-0.04440878704190254,
-0.0011969528859481215,
0.0068241446278989315,
-0.05799689516425133,
0.02547442354261875,
-0.021868068724870682,
-0.013056403025984764,
-0.0018302126554772258,
0.06301411241292953,
0.013784660026431084,
0.01877177692949772,
0.060378480702638626,
0.03577052056789398,
-0.03329753130674362,
-0.003530830144882202,
0.06563357263803482,
0.055359628051519394,
0.055278681218624115,
0.0040482706390321255,
0.0439225398004055,
-0.05541609972715378,
-0.055142585188150406,
0.005312885623425245,
0.0030347935389727354,
-0.018611010164022446,
-0.022977376356720924,
0.03284185379743576,
0.07659098505973816,
-0.003329663537442684,
0.041634634137153625,
-0.031405072659254074,
-0.013507938012480736,
0.039482537657022476,
0.005980607122182846,
0.0037979299668222666,
0.04919256642460823,
0.017803551629185677,
0.031079614534974098,
-0.02899456024169922,
-0.04036082699894905,
-0.0027509864885360003,
-0.01261776965111494,
-0.012691495940089226,
0.00580330565571785,
0.001988903619349003,
0.009703381918370724,
-0.003314618021249771,
0.03875518590211868,
0.11226262152194977,
-0.05503929406404495,
-0.03811481595039368,
0.03354748710989952,
0.01485791802406311,
0.025260016322135925,
0.04575885087251663,
-0.004821632988750935,
-0.02006389945745468,
-0.026471979916095734,
-0.04033830389380455,
0.011982769705355167,
0.01750870980322361,
-0.016237804666161537,
0.03178037703037262,
-0.026626992970705032,
-0.040890734642744064,
0.03352196142077446,
0.020780371502041817,
-0.06219639256596565,
-0.03556245192885399,
-0.0360010527074337,
-0.044948235154151917,
-0.02567080222070217,
-0.015912344679236412,
0.028169430792331696,
-0.0013766977936029434,
-0.024865906685590744,
0.005751907825469971,
-0.024849800392985344,
0.027663620188832283,
0.021099073812365532,
-0.039509862661361694,
-0.0022874497808516026,
0.03361067548394203,
0.003646178636699915,
-0.011361422017216682,
0.027811044827103615,
0.029794840142130852,
-0.04151838272809982,
0.001313570188358426,
0.010550660081207752,
0.009520567022264004,
0.014466268010437489,
0.008047020994126797,
-0.021042276173830032,
-0.10004761070013046,
-0.009665492922067642,
0.02758590131998062,
-0.01627972722053528,
-0.07298149913549423,
0.012027263641357422,
0.0005865351995453238,
0.0459275096654892,
0.06261219829320908,
0.020107535645365715,
0.016202308237552643,
0.002689121523872018,
0.01009975466877222,
0.0007491105352528393,
0.023903032764792442,
0.05650433525443077,
-0.028217829763889313,
0.05220163241028786,
0.023490795865654945,
-0.04583865404129028,
-0.039376355707645416,
0.01885674148797989,
-0.035896845161914825,
-0.003956661559641361,
-0.03198529779911041,
-0.008394399657845497,
-0.03182896226644516,
-0.09153329581022263,
-0.0037846420891582966,
0.03173445910215378,
-0.01582719199359417,
-0.04682134836912155,
0.008705169893801212,
0.016624892130494118,
-0.04044622927904129,
0.02289857529103756,
-0.014044731855392456,
0.02207038551568985,
-0.05059552937746048,
-0.010245053097605705,
-0.020568979904055595,
0.01022291835397482,
0.0047482680529356,
-0.0017268989467993379,
-0.01090147066861391,
-0.015585740096867085,
0.013804935850203037,
0.0028458568267524242,
0.0424165315926075,
0.010512037202715874,
0.021712612360715866,
-0.012571053579449654
] |
https://github.com/DSL-Lab/aops
|
549 |
CRANE: Reasoning with constrained LLM generation
|
https://openreview.net/forum?id=wKs9fHYxCV
|
[
"Debangshu Banerjee",
"Tarun Suresh",
"Shubham Ugare",
"Sasa Misailovic",
"Gagandeep Singh"
] |
Poster
|
Code generation, symbolic math reasoning, and other tasks require LLMs to produce outputs that are both syntactically and semantically correct. Constrained LLM generation is a promising direction to enforce adherence to formal grammar, but prior works have empirically observed that strict enforcement of formal constraints often diminishes the reasoning capabilities of LLMs. In this work, we first provide a theoretical explanation for why constraining LLM outputs to very restrictive grammars that only allow syntactically valid final answers reduces the reasoning capabilities of the model. Second, we demonstrate that by augmenting the output grammar with carefully designed additional rules, it is always possible to preserve the reasoning capabilities of the LLM while ensuring syntactic and semantic correctness in its outputs. Building on these theoretical insights, we propose a reasoning-augmented constrained decoding algorithm, CRANE, which effectively balances the correctness of constrained generation with the flexibility of unconstrained generation.
Experiments on multiple open-source LLMs and benchmarks show that CRANE significantly outperforms both state-of-the-art
constrained decoding strategies and standard unconstrained decoding, showing up to 10% points accuracy improvement over baselines on challenging symbolic reasoning benchmarks GSM-symbolic and FOLIO.
|
LLM reasoning, Constrained Decoding, Grammar Guided Generation.
|
A constrained decoding algorithm that combines reasoning capabilities with structural correctness.
| 13,104 |
2502.09061
|
[
-0.020017843693494797,
0.006666433531790972,
-0.03613169491291046,
0.020948313176631927,
0.056702230125665665,
0.02597055211663246,
0.023540353402495384,
0.005074019078165293,
-0.048162542283535004,
0.0068045868538320065,
-0.025865111500024796,
0.027391940355300903,
-0.06651604920625687,
-0.013643616810441017,
-0.0053634848445653915,
0.06750154495239258,
0.004550900310277939,
-0.026113267987966537,
0.03659239783883095,
-0.00016421479813288897,
0.0033597485162317753,
-0.0142711466178298,
0.017013002187013626,
-0.003965937066823244,
0.04334016516804695,
0.03727461025118828,
0.012740906327962875,
-0.008122054859995842,
-0.05167530104517937,
-0.0010553214233368635,
0.061410095542669296,
-0.004830085206776857,
0.016109341755509377,
-0.016298845410346985,
-0.0453825406730175,
-0.0002070544142043218,
-0.0351974181830883,
0.011292260140180588,
0.002875174628570676,
0.0023006941191852093,
-0.0380573645234108,
0.03257553651928902,
0.02292228676378727,
-0.00015831372002139688,
-0.06081851199269295,
0.006513269618153572,
-0.10083293914794922,
0.012289764359593391,
-0.007911521941423416,
-0.05501602962613106,
-0.11878601461648941,
0.0298258438706398,
-0.032356876879930496,
-0.00313041964545846,
0.009631959721446037,
0.057456906884908676,
0.06749673187732697,
-0.10724076628684998,
-0.008450023829936981,
-0.04114034026861191,
-0.024192703887820244,
0.011498049832880497,
0.02456485852599144,
-0.005193117540329695,
-0.003974121063947678,
-0.02882448583841324,
-0.012878768146038055,
0.011856703087687492,
-0.07504920661449432,
-0.057815391570329666,
-0.015249638818204403,
0.015549900010228157,
-0.025401204824447632,
-0.014646430499851704,
0.00827528815716505,
-0.02910720743238926,
0.007151887286454439,
0.032242726534605026,
0.03979663923382759,
0.008532630279660225,
-0.01187676191329956,
0.04402431845664978,
0.0322839617729187,
0.05019524693489075,
0.06743508577346802,
0.014735890552401543,
-0.06188994273543358,
-0.0249943844974041,
-0.048787523061037064,
0.04840090498328209,
0.012170448899269104,
-0.04121068865060806,
0.0340949110686779,
0.04900640621781349,
0.029333803802728653,
0.008945370092988014,
0.005042798817157745,
0.035598110407590866,
0.01649029366672039,
0.017243746668100357,
-0.013613698072731495,
-0.04893295094370842,
0.055922698229551315,
-0.02715151757001877,
-0.10617523640394211,
-0.014071489684283733,
-0.04459211230278015,
-0.015810664743185043,
-0.0018406069139018655,
-0.009908095002174377,
-0.02737428806722164,
0.00048371421871706843,
0.027607692405581474,
-0.01148492656648159,
-0.053592048585414886,
0.04949765279889107,
0.00654311990365386,
0.008434545248746872,
0.0022617452777922153,
0.03158673271536827,
0.06861148029565811,
0.04226502776145935,
-0.005340160336345434,
0.07528995722532272,
-0.016169527545571327,
0.027981601655483246,
0.00649235537275672,
0.04288119450211525,
-0.02379658818244934,
-0.02936604432761669,
0.0010805543279275298,
0.05312245711684227,
-0.019591987133026123,
-0.0010437928140163422,
-0.01571696810424328,
0.013002652674913406,
-0.0012368434108793736,
0.005303624551743269,
0.0037163987290114164,
0.012358644045889378,
-0.00508662685751915,
-0.010302498936653137,
0.07476992905139923,
-0.0169754046946764,
0.04905956611037254,
0.014539404772222042,
0.000489741622004658,
-0.024338427931070328,
-0.011868230998516083,
0.00023294838319998235,
-0.020409071817994118,
0.0017846787814050913,
-0.021013168618083,
-0.05239129066467285,
0.009251388721168041,
0.06273561716079712,
0.042259331792593,
0.004762182477861643,
0.012278304435312748,
-0.008718245662748814,
-0.003639930859208107,
-0.002440151758491993,
-0.05770666524767876,
0.031687553972005844,
-0.02399720437824726,
-0.03595630079507828,
0.021660322323441505,
0.03143296390771866,
-0.029182514175772667,
0.0005235951393842697,
-0.015670377761125565,
-0.037379588931798935,
0.06941022723913193,
-0.03882070630788803,
-0.049818962812423706,
-0.02776486612856388,
0.060407835990190506,
-0.02972036600112915,
0.05357948690652847,
0.029600748792290688,
-0.056410204619169235,
-0.0035655233077704906,
-0.00030301540391519666,
-0.004214914981275797,
0.012188106775283813,
-0.008866298012435436,
0.09809983521699905,
-0.05387080833315849,
0.025169696658849716,
0.008391201496124268,
-0.06904645264148712,
-0.007263558451086283,
0.04589397832751274,
0.0024036774411797523,
0.047451067715883255,
-0.009565732441842556,
-0.010252336971461773,
0.0727166086435318,
-0.014198788441717625,
0.07244307547807693,
0.055214326828718185,
0.029710276052355766,
0.06011628732085228,
-0.015058598481118679,
-0.015425007790327072,
0.010494304820895195,
0.059899650514125824,
-0.04373820126056671,
-0.07486478984355927,
0.025424020364880562,
-0.005527155939489603,
-0.005931494291871786,
0.032094743102788925,
-0.037309952080249786,
0.03233197703957558,
0.009201913140714169,
-0.014234648086130619,
-0.03549138829112053,
0.027545148506760597,
-0.05033833160996437,
0.0387781523168087,
0.013106062076985836,
-0.00045201106695458293,
-0.013876426964998245,
-0.04059911146759987,
0.08585740625858307,
0.05839233472943306,
-0.02328350394964218,
-0.006398659665137529,
0.026607446372509003,
-0.017026303336024284,
-0.03460449352860451,
0.00016803035396151245,
-0.041114527732133865,
-0.003578868228942156,
-0.05287604779005051,
-0.01629745587706566,
-0.048158034682273865,
0.05356163904070854,
-0.02891760878264904,
0.027968747541308403,
0.06662497669458389,
-0.033593930304050446,
0.04691038280725479,
-0.0027862126007676125,
-0.0026520993560552597,
0.010989177972078323,
-0.022493597120046616,
-0.009895474649965763,
-0.015630047768354416,
-0.007811611518263817,
0.0062423101626336575,
0.02000151015818119,
0.0010377513244748116,
-0.02373899705708027,
-0.05161675438284874,
-0.03406958281993866,
-0.028080858290195465,
0.04311312362551689,
0.06323109567165375,
0.022769298404455185,
-0.010627555660903454,
0.039277348667383194,
-0.05546623840928078,
-0.017663031816482544,
-0.12106376141309738,
-0.024031532928347588,
0.013032427988946438,
0.032136861234903336,
0.020234476774930954,
0.030545609071850777,
0.007189406082034111,
0.02878912352025509,
-0.010438365861773491,
-0.021139446645975113,
0.01223081350326538,
0.009720380418002605,
-0.03411218151450157,
-0.057259608060121536,
-0.02577933482825756,
-0.004584688693284988,
0.03623710945248604,
-0.03090556524693966,
-0.014428890310227871,
-0.02253035455942154,
-0.020082874223589897,
0.016547635197639465,
-0.04892050474882126,
0.004984166007488966,
0.0292116217315197,
0.0161680169403553,
0.002511227037757635,
-0.043715544044971466,
0.01020852942019701,
0.05774055793881416,
0.03170168772339821,
0.03607665374875069,
-0.01718013919889927,
-0.019489498808979988,
0.0096890265122056,
-0.01696709729731083,
0.03064342588186264,
-0.0049639600329101086,
0.0365530401468277,
-0.023426884785294533,
0.017252862453460693,
0.022287873551249504,
-0.002397749340161681,
-0.2698325514793396,
-0.011679023504257202,
-0.002062032464891672,
-0.03968653455376625,
0.03157204017043114,
0.023139825090765953,
0.03858307749032974,
-0.03955840319395065,
-0.03538484126329422,
-0.003894128603860736,
0.027500253170728683,
0.0012956735445186496,
0.012503363192081451,
0.0339837409555912,
0.05048781633377075,
0.035769008100032806,
-0.02428017370402813,
-0.03154469653964043,
0.023628562688827515,
0.03765379264950752,
-0.007410068064928055,
-0.07987561076879501,
-0.0003914724802598357,
0.039000701159238815,
0.026872416958212852,
0.035565245896577835,
-0.05934840440750122,
-0.011195240542292595,
-0.05959956720471382,
-0.008350972086191177,
-0.04928332939743996,
0.012459100224077702,
-0.04498139023780823,
0.030630720779299736,
-0.022596320137381554,
0.04325122758746147,
0.06896565109491348,
0.009518496692180634,
0.0665287896990776,
0.03985024616122246,
0.03592180088162422,
-0.04536276310682297,
-0.02606424130499363,
0.0018282710807397962,
0.053459543734788895,
0.006670206319540739,
-0.0736224576830864,
-0.03637680411338806,
-0.03122413158416748,
0.04563206434249878,
-0.02209993079304695,
-0.024490434676408768,
0.006161307450383902,
-0.005098783876746893,
0.019842470064759254,
-0.02612854354083538,
-0.004020520951598883,
-0.02984226867556572,
-0.03776058554649353,
0.027278486639261246,
0.023878958076238632,
-0.03615981340408325,
-0.03970622643828392,
-0.0350288487970829,
-0.025863682851195335,
-0.03761933743953705,
-0.05284269526600838,
-0.0755639374256134,
0.06176434084773064,
0.047621022909879684,
-0.020153833553195,
0.012568751350045204,
0.012282817624509335,
-0.0916832908987999,
-0.017750011757016182,
0.0002648947120178491,
-0.03823890909552574,
-0.046670690178871155,
0.01909904181957245,
0.027230005711317062,
-0.036833763122558594,
-0.06002796068787575,
0.006217030808329582,
0.043868210166692734,
0.0006208643899299204,
-0.01577557437121868,
-0.013169794343411922,
-0.03977862745523453,
-0.014303258620202541,
0.0003655505715869367,
0.037813950330019,
0.014074732549488544,
-0.010617685504257679,
0.023894483223557472,
0.06676866859197617,
0.010257587768137455,
0.05125634744763374,
0.03302711620926857,
0.05701901763677597,
0.013852061703801155,
0.003101613139733672,
-0.059138890355825424,
0.024848105385899544,
-0.017657874152064323,
-0.014649047516286373,
-0.008381643332540989,
-0.05000852420926094,
0.016769984737038612,
0.0455576628446579,
-0.0025260536931455135,
-0.03269433230161667,
-0.038395993411540985,
-0.008411107584834099,
-0.026064077392220497,
-0.03542846813797951,
-0.0009478262509219348,
0.0005529719055630267,
0.028606656938791275,
-0.00878979079425335,
-0.028409581631422043,
-0.04188225418329239,
0.030676836147904396,
-0.03900805860757828,
-0.0012228190898895264,
-0.03246506303548813,
-0.007184694986790419,
-0.012060088105499744,
0.003058492671698332,
-0.01634955033659935,
-0.004949828144162893,
0.002325628651306033,
0.03238160163164139,
-0.0030021746642887592,
0.012038368731737137,
0.02187744341790676,
0.009456590749323368,
0.006094809155911207,
-0.025861132889986038,
0.013318434357643127,
-0.016035841777920723,
0.02811592072248459,
-0.014887580648064613,
0.027993638068437576,
0.026991508901119232,
0.058657076209783554,
-0.01867993175983429,
0.03692023828625679,
0.006450271233916283,
-0.012712763622403145,
0.008092359639704227,
0.02128918468952179,
-0.0798027291893959,
0.04869507998228073,
-0.03574231639504433,
0.02059181220829487,
-0.028572458773851395,
0.006293890997767448,
0.0011547318426892161,
0.03803098574280739,
-0.06598503142595291,
0.04992734268307686,
0.005816955119371414,
0.00858906377106905,
-0.021106865257024765,
0.008089191280305386,
0.06859461218118668,
-0.020282389596104622,
0.03917427733540535,
-0.0014198367716744542,
0.0011605322360992432,
-0.009743769653141499,
-0.0068242233246564865,
-0.0329577662050724,
0.011380496434867382,
-0.020375560969114304,
0.016205018386244774,
-0.011595466174185276,
-0.040272511541843414,
-0.04746523126959801,
0.03400581702589989,
-0.016090689226984978,
-0.03695202246308327,
0.004408355336636305,
0.017768483608961105,
0.05771176889538765,
0.006813785992562771,
0.035067953169345856,
-0.023492898792028427,
-0.03939244896173477,
0.008931659162044525,
-0.016568275168538094,
-0.005585567560046911,
0.014511115849018097,
-0.021040398627519608,
-0.05292047560214996,
-0.05090760067105293,
0.015458131209015846,
0.035952530801296234,
-0.0007690727361477911,
-0.007355699315667152,
0.018090348690748215,
-0.019902357831597328,
-0.051673583686351776,
-0.006872524041682482,
0.02656685933470726,
-0.07987936586141586,
-0.00945085845887661,
0.021859198808670044,
0.04935143142938614,
0.0045059616677463055,
-0.026740683242678642,
-0.05280269309878349,
-0.04210522025823593,
-0.017268169671297073,
0.021253084763884544,
-0.015175065025687218,
-0.013572581112384796,
0.0034489932004362345,
-0.01986370049417019,
-0.021453510969877243,
0.017148640006780624,
0.00326948962174356,
0.0012863974552601576,
-0.021467644721269608,
-0.004266196396201849,
0.05253348499536514,
-0.04138796404004097,
-0.00289919413626194,
0.016837745904922485,
-0.04104999825358391,
0.026653558015823364,
-0.038472115993499756,
0.02804226614534855,
0.03520209714770317,
0.03097858466207981,
-0.008907798677682877,
-0.04220082238316536,
0.020948980003595352,
-0.04221535101532936,
-0.01192911434918642,
0.022121351212263107,
-0.009577596560120583,
0.014819982461631298,
0.005691206082701683,
-0.013801593333482742,
0.045109476894140244,
0.021712370216846466,
-0.017997248098254204,
-0.011711732484400272,
-0.005835331976413727,
0.01706485077738762,
0.017408709973096848,
-0.01969161070883274,
-0.0044051711447536945,
0.0685453861951828,
-0.02596408687531948,
-0.02525978907942772,
-0.060936339199543,
-0.03216300159692764,
-0.0018604367505759,
-0.01861763745546341,
0.05564692243933678,
-0.03324703872203827,
0.05091224983334541,
-0.0013501058565452695,
0.06368327140808105,
-0.0009345675935037434,
-0.03568018227815628,
0.06297232955694199,
-0.03988506272435188,
0.009103480726480484,
-0.06109199300408363,
0.01883741281926632,
0.051129311323165894,
-0.036280520260334015,
-0.025706233456730843,
-0.009631913155317307,
-0.0424252413213253,
0.020657941699028015,
0.011058379895985126,
-0.027800343930721283,
0.005343761295080185,
-0.003016197821125388,
-0.016979562118649483,
0.033182382583618164,
-0.03959399834275246,
0.0059987567365169525,
0.010592851787805557,
-0.03233685716986656,
0.03368254005908966,
-0.0026659832801669836,
0.049982208758592606,
-0.012328526936471462,
0.008791834115982056,
-0.017179196700453758,
-0.003421756438910961,
0.00980551540851593,
0.07221124321222305,
0.04448114335536957,
0.024087537080049515,
-0.027794120833277702,
0.0630914717912674,
0.052849918603897095,
0.03381872549653053,
-0.0023448069114238024,
0.006394375581294298,
-0.013278001919388771,
-0.07705044746398926,
0.04109126701951027,
0.009831292554736137,
-0.038133230060338974,
-0.04956092685461044,
0.0896235853433609,
0.023009685799479485,
-0.04138761758804321,
-0.019564809277653694,
0.006797716952860355,
-0.046784937381744385,
0.002732526045292616,
-0.010687909089028835,
-0.00038393790600821376,
0.002494458807632327,
0.051176175475120544,
-0.0059079076163470745,
0.021378375589847565,
0.08436571061611176,
0.005581897683441639,
-0.0016834801062941551,
0.009203244931995869,
0.04049627110362053,
0.04763030260801315,
0.04757361486554146,
0.016446229070425034,
0.0643102303147316,
-0.059727318584918976,
-0.048743393272161484,
0.009504702873528004,
0.02440481260418892,
-0.0001396016014041379,
-0.0540115050971508,
0.040282946079969406,
0.056302763521671295,
-0.000825305178295821,
0.049070168286561966,
-0.002564126392826438,
-0.022659769281744957,
0.026722852140665054,
0.02074732631444931,
0.014539632014930248,
0.08842018246650696,
0.020514683797955513,
0.005060345400124788,
-0.030058547854423523,
-0.010478628799319267,
0.004700319841504097,
-0.03496895730495453,
-0.021989217028021812,
-0.0064580137841403484,
-0.00793809536844492,
0.004028285387903452,
-0.013033975847065449,
0.07880894094705582,
0.11486802995204926,
-0.047212641686201096,
-0.041770078241825104,
0.03229932859539986,
0.06167598068714142,
0.019442640244960785,
0.016690222546458244,
-0.001352420193143189,
-0.02201158180832863,
0.01040742825716734,
-0.036028340458869934,
0.022583667188882828,
0.01390613242983818,
0.0062064360827207565,
0.052972596138715744,
-0.00659450888633728,
-0.05682339891791344,
0.004146172199398279,
0.04044615104794502,
-0.05405750870704651,
-0.044293273240327835,
-0.014110389165580273,
-0.05900898948311806,
-0.0489591620862484,
-0.026180537417531013,
0.020240211859345436,
-0.005365467630326748,
-0.025017766281962395,
-0.007347092032432556,
-0.04323543980717659,
-0.012461386620998383,
-0.005714832805097103,
-0.04633541405200958,
0.007194218225777149,
0.04312807321548462,
0.018181612715125084,
-0.02269696071743965,
0.03617371246218681,
-0.0062848650850355625,
-0.015999140217900276,
-0.012471363879740238,
0.007257908582687378,
0.026561427861452103,
0.0020246412605047226,
0.03021925874054432,
-0.014776875264942646,
-0.09473510086536407,
0.0036925843451172113,
-0.015831466764211655,
-0.011362195946276188,
-0.07458460330963135,
0.029372133314609528,
-0.02830374985933304,
0.02505197562277317,
0.08976411819458008,
0.013846882618963718,
0.04747523367404938,
0.007827515713870525,
0.001852602930739522,
0.04038860276341438,
0.030497822910547256,
0.06211564689874649,
-0.031171858310699463,
0.051954951137304306,
0.020228508859872818,
-0.02205616980791092,
-0.05326298996806145,
0.021946435794234276,
-0.009389513172209263,
-0.03198112174868584,
-0.03693472966551781,
-0.01789490133523941,
-0.02988676354289055,
-0.08699320256710052,
-0.016247039660811424,
0.013015126809477806,
-0.02047482319176197,
-0.0486057884991169,
0.014059335924685001,
-0.0214709285646677,
-0.04065873473882675,
0.01918131299316883,
-0.010916202329099178,
-0.0026778525207191706,
-0.01998206041753292,
-0.012476978823542595,
-0.030290033668279648,
0.0032345708459615707,
-0.007754586171358824,
0.021248428151011467,
-0.0325092077255249,
-0.03701459616422653,
-0.0037056240253150463,
0.016631783917546272,
0.035083502531051636,
0.0032737567089498043,
0.021051818504929543,
-0.011193749494850636
] | null |
550 |
sciLaMA: A Single-Cell Representation Learning Framework to Leverage Prior Knowledge from Large Language Models
|
https://openreview.net/forum?id=0m4VsLwj5s
|
[
"Hongru Hu",
"Shuwen Zhang",
"Yongin Choi",
"Venkat S. Malladi",
"Gerald Quon"
] |
Poster
|
Single-cell RNA sequencing (scRNA-seq) enables high-resolution exploration of cellular diversity and gene regulation, yet analyzing such data remains challenging due to technical and methodological limitations. Existing task-specific deep generative models like Variational Auto-Encoder (VAE) and its variants struggle to incorporate external biological knowledge, while transformer-based foundational large Language Models (LLMs or large LaMs) face limitations in computational cost and applicability to tabular gene expression data. Here, we introduce sciLaMA (single-cell interpretable Language Model Adapter), a novel representation learning framework that bridges these gaps by integrating static gene embeddings from multimodal LaMs with scRNA-seq tabular data through a paired-VAE architecture. Our approach generates context-aware representations for both cells and genes and outperforms state-of-the-art methods in key single-cell downstream tasks, including batch effect correction, cell clustering, and cell-state-specific gene marker and module identification, while maintaining computational efficiency. sciLaMA offers a computationally efficient, unified framework for comprehensive single-cell data analysis and biologically interpretable gene module discovery.
|
Representation Learning, Large Language Model, Batch Effect Correction, Gene Module Discovery
| null | 13,101 | null |
[
0.019875722005963326,
-0.013976791873574257,
-0.04605891555547714,
0.009855527430772781,
0.02235037088394165,
0.013866877183318138,
0.027415448799729347,
0.008134362287819386,
-0.0330965556204319,
-0.014749557711184025,
0.002541050547733903,
0.019774112850427628,
-0.07161738723516464,
0.036711178719997406,
0.006538613233715296,
0.030272144824266434,
0.021584531292319298,
-0.011675385758280754,
0.004710269160568714,
0.027366075664758682,
0.010168015025556087,
-0.012092298828065395,
0.03402489796280861,
0.044491708278656006,
0.04548821225762367,
-0.05077160894870758,
0.04956929758191109,
-0.011795664206147194,
-0.017424391582608223,
0.03184429556131363,
0.007902568206191063,
-0.019981108605861664,
-0.000831711629871279,
-0.0040147616527974606,
0.0008827578276395798,
-0.0031027712393552065,
-0.003444222267717123,
0.01070310827344656,
-0.0020450521260499954,
0.013562203384935856,
-0.04692952334880829,
-0.029079599305987358,
-0.013211176730692387,
0.03042571246623993,
-0.0221620611846447,
0.025638438761234283,
-0.08686600625514984,
0.03612348809838295,
-0.009807325899600983,
-0.008987382985651493,
-0.08870472013950348,
0.021208619698882103,
0.0036338171921670437,
-0.02553168497979641,
0.03734628111124039,
0.033688731491565704,
0.03740555793046951,
-0.1000596284866333,
-0.04892086237668991,
-0.04630934074521065,
-0.035333722829818726,
-0.004496829118579626,
0.009573383256793022,
-0.0014192304806783795,
0.029335401952266693,
-0.006470122374594212,
0.021920116618275642,
0.0022464029025286436,
-0.06222759187221527,
-0.047695644199848175,
-0.015491586178541183,
0.007343757897615433,
-0.0494522824883461,
0.01364920288324356,
0.030206842347979546,
-0.0444188229739666,
0.0041056787595152855,
-0.002492522355169058,
0.056680284440517426,
0.006486326921731234,
-0.005281751975417137,
0.027478588744997978,
0.009655246511101723,
0.03376692533493042,
0.01429428718984127,
0.013477948494255543,
-0.0502292737364769,
-0.051979560405015945,
-0.07525535672903061,
0.017132453620433807,
-0.011607799679040909,
-0.04841100797057152,
0.022904131561517715,
0.029694845899939537,
0.050350308418273926,
0.020299097523093224,
0.04065876454114914,
0.01978641003370285,
-0.025143494829535484,
0.0006096301949582994,
-0.03496049717068672,
-0.015963461250066757,
0.041964903473854065,
-0.03260258585214615,
-0.1483072191476822,
0.02208358608186245,
-0.009983746334910393,
-0.032904159277677536,
-0.011373285204172134,
0.015495942905545235,
0.003266357583925128,
-0.014209643937647343,
-0.007703247480094433,
-0.006312773562967777,
-0.10152611881494522,
0.048889461904764175,
0.025357961654663086,
-0.0023804279044270515,
-0.0037167270202189684,
-0.032148536294698715,
0.02415415830910206,
0.052842747420072556,
0.004185645841062069,
0.07916229963302612,
-0.0220123752951622,
-0.0034817885607481003,
0.022066762670874596,
0.02057487703859806,
-0.02765086106956005,
-0.022669272497296333,
-0.011796575039625168,
0.06033611670136452,
-0.012348311953246593,
0.040557052940130234,
0.040222346782684326,
-0.015262088738381863,
0.012286145240068436,
0.01261112280189991,
0.07085096091032028,
0.0041592796333134174,
-0.007848690263926983,
0.0053044590167701244,
0.034558966755867004,
-0.026860371232032776,
0.05266524851322174,
-0.0265666376799345,
-0.02666187845170498,
-0.02328350953757763,
-0.02723555639386177,
-0.027167893946170807,
0.006081264931708574,
0.00300981174223125,
0.008687463589012623,
-0.06280480325222015,
0.026920678094029427,
0.08088940382003784,
0.02284766174852848,
-0.021376222372055054,
0.022435957565903664,
0.0206989087164402,
-0.0008949825423769653,
-0.035117533057928085,
-0.030208222568035126,
0.023644614964723587,
-0.011096234433352947,
-0.03834670037031174,
0.030331209301948547,
-0.011979577131569386,
-0.05664612352848053,
-0.0022655862849205732,
-0.05115167424082756,
-0.03333789482712746,
0.029958374798297882,
-0.03310535475611687,
-0.021919533610343933,
-0.04083571583032608,
0.07327480614185333,
0.0004205430159345269,
0.050736263394355774,
0.0026643583551049232,
-0.0801098644733429,
0.01715662330389023,
0.0011786286486312747,
-0.022168809548020363,
0.04110720753669739,
-0.010127793066203594,
0.10410430282354355,
-0.03991963714361191,
0.027998575940728188,
0.021751830354332924,
-0.04066875949501991,
-0.01989244483411312,
0.03202665597200394,
0.008036787621676922,
0.05789216607809067,
-0.012856386601924896,
-0.023753510788083076,
0.09161998331546783,
-0.001916132285259664,
0.05828884616494179,
0.040010806173086166,
0.010398699901998043,
0.037595417350530624,
-0.0343935526907444,
-0.07153508812189102,
-0.007741759996861219,
0.055716343224048615,
-0.037489987909793854,
0.000982913188636303,
0.004318129736930132,
-0.03316227346658707,
0.031586434692144394,
0.011839235201478004,
-0.018868373706936836,
0.0409177765250206,
-0.042335815727710724,
-0.00008500268450006843,
0.025560008361935616,
-0.0237460657954216,
-0.05685294046998024,
0.05071215331554413,
-0.013430502265691757,
-0.047830335795879364,
0.007830298505723476,
0.009968351572751999,
0.11135046184062958,
0.06611694395542145,
-0.033260855823755264,
-0.021182259544730186,
0.03568087890744209,
0.05117876082658768,
-0.023700209334492683,
0.0007848345558159053,
-0.013635925948619843,
0.017054805532097816,
-0.005981031805276871,
-0.008889712393283844,
-0.03418862819671631,
0.04336429387331009,
-0.02703949436545372,
0.03113934025168419,
0.09053976833820343,
-0.018564054742455482,
0.013302531093358994,
0.016042344272136688,
0.018090499565005302,
0.03314955160021782,
-0.0330996997654438,
-0.03914567455649376,
-0.019849425181746483,
-0.00046191425644792616,
-0.00018205720698460937,
0.01006992720067501,
0.000037653022445738316,
-0.026919562369585037,
-0.02693791128695011,
-0.031419578939676285,
-0.01255033165216446,
0.0629567876458168,
0.04448287561535835,
-0.011208264157176018,
0.04364403337240219,
0.01857098937034607,
-0.058089710772037506,
-0.026014819741249084,
-0.10720198601484299,
-0.023596137762069702,
-0.05331246554851532,
0.0599074624478817,
0.006356826983392239,
0.07151097804307938,
0.023986782878637314,
0.011004714295268059,
-0.015286289155483246,
0.01906082034111023,
0.008851051330566406,
0.025906022638082504,
0.009905928745865822,
-0.03188576176762581,
-0.016018012538552284,
0.007689685095101595,
0.06508747488260269,
0.004911172203719616,
-0.009648270905017853,
-0.028028473258018494,
-0.040105655789375305,
-0.00732469093054533,
-0.019286900758743286,
0.02190238982439041,
0.032826200127601624,
0.027181243523955345,
-0.009075755253434181,
-0.05252154543995857,
-0.017967209219932556,
0.016240963712334633,
0.012405303306877613,
0.06767227500677109,
0.0036417425144463778,
-0.040860019624233246,
0.007110597565770149,
-0.00860136654227972,
0.021769311279058456,
-0.018966805189847946,
0.008507485501468182,
0.014946071431040764,
0.0043540215119719505,
0.01672588661313057,
-0.04381704702973366,
-0.2718988060951233,
-0.027093252167105675,
-0.008207944221794605,
-0.021802853792905807,
0.04399236664175987,
-0.009838413447141647,
0.019487330690026283,
-0.04261794313788414,
-0.0002022271801251918,
0.023119602352380753,
-0.03417890891432762,
0.03667088598012924,
-0.01224993821233511,
0.035281095653772354,
0.06197311729192734,
0.026958322152495384,
-0.04667285457253456,
-0.02654913440346718,
0.063963882625103,
0.015264542773365974,
-0.029777901247143745,
-0.044582366943359375,
-0.0034591222647577524,
0.08845619857311249,
-0.021253511309623718,
0.06551191210746765,
-0.07641534507274628,
-0.019801603630185127,
-0.013040979392826557,
-0.012182910926640034,
0.013089475221931934,
-0.008821462281048298,
-0.011426218785345554,
0.030999191105365753,
-0.014268649742007256,
0.02495882846415043,
0.02981221117079258,
0.0008929779869504273,
0.04888002574443817,
0.017590366303920746,
-0.002354669151827693,
-0.058722686022520065,
-0.009448317810893059,
-0.000481924886116758,
0.052389562129974365,
-0.01183364912867546,
-0.035327643156051636,
0.0605933703482151,
-0.018420962616801262,
0.04367778077721596,
0.00861823745071888,
-0.04363676905632019,
-0.023997614160180092,
0.0335552878677845,
-0.00031693483470007777,
-0.019844306632876396,
0.015764672309160233,
-0.020639430731534958,
-0.041790224611759186,
-0.00397670641541481,
-0.02030813880264759,
-0.04259500652551651,
-0.041206784546375275,
-0.06138960272073746,
-0.026926252990961075,
-0.02632090449333191,
-0.0757119208574295,
-0.05807254835963249,
0.04842979460954666,
0.04255467653274536,
-0.02784934639930725,
-0.0023389344569295645,
-0.027040187269449234,
-0.07544360309839249,
0.03182216361165047,
-0.017712507396936417,
-0.043039415031671524,
-0.004485668148845434,
-0.013647426851093769,
0.04269301891326904,
-0.019173014909029007,
-0.043426577001810074,
0.01299332920461893,
-0.005071904044598341,
-0.0021722493693232536,
-0.06845243275165558,
-0.00857420451939106,
-0.014489023946225643,
-0.014778370968997478,
-0.033992037177085876,
0.025867609307169914,
0.007100604008883238,
0.032486241310834885,
0.010589981451630592,
0.03923780471086502,
0.02301269769668579,
-0.005623713601380587,
0.03523053601384163,
0.029973546043038368,
-0.008921793662011623,
0.05478013679385185,
-0.02484433725476265,
-0.04100446403026581,
-0.043930090963840485,
-0.02146134339272976,
0.04729367792606354,
-0.05744193494319916,
-0.02923288382589817,
0.03743765130639076,
0.02494073286652565,
-0.045480839908123016,
0.0003678293724078685,
0.025996645912528038,
-0.028282400220632553,
0.033126652240753174,
0.012691685929894447,
-0.008327627554535866,
0.03884151577949524,
0.056500185281038284,
-0.010401063598692417,
-0.02756139449775219,
-0.008830788545310497,
-0.0378890223801136,
-0.022518936544656754,
0.013101753778755665,
-0.012870130129158497,
-0.008433304727077484,
0.024078117683529854,
-0.01123224850744009,
-0.03000144101679325,
0.03127003461122513,
-0.006076603662222624,
-0.010299456305801868,
0.0003356084052938968,
0.0291531253606081,
0.009089095517992973,
-0.02504539303481579,
0.007858747616410255,
-0.013773579150438309,
0.013928545638918877,
0.03402939811348915,
-0.018796779215335846,
0.05609332397580147,
0.025618983432650566,
0.035231564193964005,
-0.0025424049235880375,
-0.019787726923823357,
0.055419765412807465,
-0.008824331685900688,
-0.006402028724551201,
-0.00012785953003913164,
-0.02298249676823616,
0.004798338748514652,
-0.023984551429748535,
-0.006028483621776104,
-0.005167610011994839,
0.03893299400806427,
0.022854872047901154,
0.002426719292998314,
-0.06655199825763702,
0.018573904410004616,
0.012738313525915146,
-0.023885734379291534,
0.007856817916035652,
-0.007330861873924732,
0.03770293667912483,
0.020354952663183212,
-0.01320705097168684,
0.0368608683347702,
0.0306228119879961,
-0.00820563267916441,
0.011781119741499424,
-0.0402127243578434,
-0.006060341373085976,
-0.03990493714809418,
-0.021493373438715935,
0.01715027540922165,
-0.023682020604610443,
0.004812793340533972,
0.09510330110788345,
0.000843184650875628,
-0.042313020676374435,
0.015665369108319283,
0.01022438146173954,
0.08831080049276352,
0.012343181297183037,
0.00910286232829094,
-0.013717924244701862,
-0.03355442360043526,
0.025378825142979622,
0.01778300665318966,
0.029849089682102203,
-0.023367518559098244,
-0.03533821925520897,
-0.03631371259689331,
-0.037195708602666855,
-0.0022398282308131456,
0.03313832730054855,
0.005238823592662811,
-0.06374500691890717,
-0.006767830345779657,
-0.04206138104200363,
-0.03751124441623688,
-0.013118683360517025,
0.05238567292690277,
-0.08773312717676163,
0.00008395604527322575,
0.010251752100884914,
-0.044016849249601364,
0.046403393149375916,
-0.01747634820640087,
-0.03804323077201843,
-0.0076565491035580635,
-0.005089941900223494,
-0.004702536854892969,
-0.011701015755534172,
-0.009010986424982548,
-0.044684380292892456,
-0.016864167526364326,
0.012637628242373466,
-0.01927346922457218,
-0.009161158464848995,
0.017513461410999298,
-0.05001547560095787,
0.005616008769720793,
0.029828613623976707,
-0.04461430758237839,
0.001204984961077571,
0.01511769462376833,
0.023021437227725983,
0.04021112993359566,
-0.04261675104498863,
0.0031834200490266085,
0.04312163218855858,
0.008390543982386589,
-0.028788121417164803,
-0.046547941863536835,
0.01082436554133892,
0.028206970542669296,
0.017460405826568604,
0.04305821284651756,
0.00688921706750989,
-0.04265252873301506,
0.02553265541791916,
0.02944011427462101,
0.054411888122558594,
-0.015336244367063046,
0.006110236048698425,
0.005051314830780029,
0.026377683505415916,
0.02764217182993889,
0.0027286000549793243,
-0.0060882652178406715,
-0.010271620005369186,
0.07334081083536148,
-0.03170591965317726,
-0.04239422827959061,
-0.036822330206632614,
-0.03683079406619072,
0.00894071627408266,
-0.00860259123146534,
0.011100309900939465,
-0.06104038655757904,
0.07846657931804657,
0.06464545428752899,
0.021196134388446808,
-0.007598080672323704,
-0.01965286210179329,
0.05122696980834007,
-0.0492723286151886,
-0.015586589463055134,
-0.06855127215385437,
-0.045894719660282135,
0.05681163817644119,
-0.04431304335594177,
0.00890206266194582,
-0.01673603430390358,
-0.007101507857441902,
0.029479341581463814,
0.020675426349043846,
-0.031303778290748596,
0.017325740307569504,
-0.012940186075866222,
-0.017669472843408585,
0.03438586741685867,
-0.04365859925746918,
0.01581118442118168,
-0.01643826626241207,
0.0072404975071549416,
0.005664058029651642,
-0.028224477544426918,
0.0358884260058403,
-0.03572865203022957,
-0.0007042998913675547,
-0.00869197677820921,
0.020704539492726326,
0.025988459587097168,
0.038007307797670364,
0.031383857131004333,
0.01658748835325241,
-0.008654428645968437,
0.07301341742277145,
0.04257386550307274,
0.005406503099948168,
-0.006810682360082865,
0.02095749042928219,
0.0006503364420495927,
0.0004873762372881174,
0.01884426176548004,
0.03943401575088501,
-0.006724917329847813,
-0.048848457634449005,
0.08060511946678162,
0.02178652212023735,
-0.03393076732754707,
-0.018180690705776215,
-0.00015836193051654845,
-0.057009514421224594,
0.007025298196822405,
-0.015632547438144684,
0.01858089677989483,
-0.023550240322947502,
0.039531316608190536,
-0.028816716745495796,
0.03410785272717476,
0.0759924128651619,
0.028509225696325302,
0.02465117909014225,
0.007701987400650978,
0.06517599523067474,
0.06757912039756775,
0.007961786352097988,
0.024655072018504143,
0.09234738349914551,
-0.05050119385123253,
-0.0830971747636795,
0.051775895059108734,
-0.0075726136565208435,
0.011098249815404415,
-0.04689057916402817,
0.06395895034074783,
0.08130767196416855,
-0.0020199278369545937,
0.04738730192184448,
-0.009326741099357605,
-0.01516628172248602,
0.07346586138010025,
0.020896026864647865,
0.008072416298091412,
0.03821374475955963,
0.036971766501665115,
0.007780743762850761,
-0.04296186938881874,
0.006801380310207605,
-0.01772984117269516,
-0.02681184560060501,
-0.0001524206018075347,
-0.006401512771844864,
-0.012928273528814316,
0.015026642940938473,
-0.02316473424434662,
0.06610052287578583,
0.0759260430932045,
0.0007008548127487302,
-0.02748510055243969,
-0.006815336178988218,
0.01001956220716238,
0.022874895483255386,
0.0292680561542511,
-0.027778975665569305,
-0.016339855268597603,
-0.005871941335499287,
-0.0009900144068524241,
0.023553568869829178,
0.010344179347157478,
0.008838022127747536,
-0.010762062855064869,
-0.018017223104834557,
-0.0532381497323513,
-0.007153133396059275,
0.026455866172909737,
-0.060040414333343506,
-0.04161640629172325,
-0.03424505144357681,
-0.03055710718035698,
-0.06030331924557686,
-0.08121278136968613,
-0.009493815712630749,
0.02919546328485012,
-0.025334840640425682,
-0.0017255903221666813,
-0.014176973141729832,
0.04360044747591019,
0.03266812860965729,
-0.03696955740451813,
0.03508690744638443,
0.02619999088346958,
0.004682509228587151,
0.007045363076031208,
0.03373836725950241,
0.030391406267881393,
-0.0014434963231906295,
-0.040906235575675964,
0.03413982689380646,
-0.020418569445610046,
0.009393054060637951,
0.011794843710958958,
-0.019746730104088783,
-0.08551432937383652,
0.009256782941520214,
0.027347438037395477,
-0.030447285622358322,
-0.09560155123472214,
0.014854008331894875,
-0.0023808691184967756,
0.05709449574351311,
0.058859728276729584,
0.007067892700433731,
-0.002639489248394966,
-0.04831802472472191,
-0.04367360472679138,
-0.007083853706717491,
-0.006888948380947113,
0.02454650215804577,
-0.02970164828002453,
0.050314322113990784,
0.020734690129756927,
-0.004137579817324877,
-0.032412074506282806,
0.026151349768042564,
-0.007294777315109968,
-0.007982105016708374,
-0.011616619303822517,
-0.026967689394950867,
-0.0298418290913105,
-0.044752754271030426,
-0.06608841568231583,
0.008563111536204815,
-0.040002431720495224,
-0.02497001178562641,
0.0003679021028801799,
-0.037921056151390076,
-0.009091257117688656,
-0.0520218163728714,
-0.0042048352770507336,
-0.03465993329882622,
-0.014675527811050415,
-0.05726883187890053,
-0.03873402252793312,
0.01028578169643879,
-0.003268220229074359,
0.003323267214000225,
-0.011415621265769005,
-0.019358355551958084,
-0.014628828503191471,
0.004660557024180889,
0.016360299661755562,
0.013857372105121613,
-0.032516926527023315,
0.006338975857943296
] |
https://github.com/microsoft/sciLaMA
|
551 |
Domain-Adapted Diffusion Model for PROTAC Linker Design Through the Lens of Density Ratio in Chemical Space
|
https://openreview.net/forum?id=jkyUbkNJyH
|
[
"Zixing Song",
"Ziqiao Meng",
"José Miguel Hernández-Lobato"
] |
Poster
|
Proteolysis-targeting chimeras (PROTACs) are a groundbreaking technology for targeted protein degradation, but designing effective linkers that connect two molecular fragments to form a drug-candidate PROTAC molecule remains a key challenge. While diffusion models show promise in molecular generation, current diffusion models for PROTAC linker design are typically trained on small molecule datasets, introducing distribution mismatches in the chemical space between small molecules and target PROTACs. Direct fine-tuning on limited PROTAC datasets often results in overfitting and poor generalization. In this work, we propose DAD-PROTAC, a domain-adapted diffusion model for PROTAC linker design, which addresses this distribution mismatch in chemical space through density ratio estimation to bridge the gap between small-molecule and PROTAC domains. By decomposing the target score estimator into a pre-trained score function and a lightweight score correction term, DAD-PROTAC achieves efficient fine-tuning without full retraining. Experimental results demonstrate its superior ability to generate high-quality PROTAC linkers.
|
PROTAC, Linker Design, Diffusion Models
|
We present a domain-adapted diffusion model for PROTAC linker design task.
| 13,097 | null |
[
-0.020061379298567772,
0.02106196992099285,
-0.020966192707419395,
0.029370952397584915,
0.06922809779644012,
-0.0038625760935246944,
0.015056383796036243,
-0.008086510002613068,
0.03480575606226921,
-0.05206644907593727,
0.012582472525537014,
-0.002970838686451316,
-0.04586506634950638,
0.03003435954451561,
0.023725640028715134,
0.06913354247808456,
0.058698855340480804,
-0.018736746162176132,
0.012587418779730797,
0.01823573186993599,
-0.018681064248085022,
-0.023121990263462067,
0.0067689246498048306,
0.016986342146992683,
0.03823794797062874,
0.0027793440967798233,
0.01477778423577547,
-0.001977892592549324,
-0.02524598315358162,
-0.00009636989125283435,
-0.004710835870355368,
0.012535874731838703,
0.00808249693363905,
-0.05366278812289238,
-0.016629690304398537,
0.02892596460878849,
-0.012988721951842308,
0.012985293753445148,
-0.00008793406595941633,
-0.025782203301787376,
-0.08174484223127365,
0.024523915722966194,
-0.04863031953573227,
0.010252981446683407,
-0.03242066130042076,
0.026076992973685265,
-0.07562755048274994,
0.043529488146305084,
-0.03226673975586891,
-0.06041788309812546,
-0.07570119947195053,
0.01636706292629242,
0.02645568549633026,
-0.04600054770708084,
0.007326850201934576,
0.039697084575891495,
0.03553184121847153,
-0.022113390266895294,
-0.02548409253358841,
-0.050163716077804565,
-0.02641616202890873,
0.03364483267068863,
0.009788515977561474,
0.003837126772850752,
0.036358583718538284,
-0.013834984973073006,
-0.018941009417176247,
0.0062865931540727615,
-0.03284529969096184,
-0.017762744799256325,
-0.038314882665872574,
-0.006724868435412645,
0.025549067184329033,
-0.025672759860754013,
0.028183940798044205,
-0.012794306501746178,
-0.031028373166918755,
0.012815137393772602,
0.09827051311731339,
0.014646594412624836,
0.004610534757375717,
-0.01666479930281639,
-0.029854200780391693,
0.03599021956324577,
0.009985214099287987,
0.015180031768977642,
-0.053147587925195694,
0.021707983687520027,
-0.03883916139602661,
0.06005454063415527,
-0.0280914269387722,
-0.049942824989557266,
0.00924642477184534,
0.028664011508226395,
0.052282627671957016,
-0.034361209720373154,
0.01228939276188612,
0.00021423929138109088,
0.017200052738189697,
-0.009877356700599194,
-0.03293206915259361,
-0.05850984901189804,
0.002182934433221817,
-0.00972482468932867,
-0.083167165517807,
0.013673980720341206,
-0.0686366856098175,
-0.038094837218523026,
-0.007187108509242535,
0.020259816199541092,
-0.05108528956770897,
0.011143295094370842,
0.00967383198440075,
0.020323755219578743,
-0.10747929662466049,
0.040064238011837006,
0.002390796085819602,
0.006780731026083231,
0.03203856199979782,
-0.009037098847329617,
0.022556504234671593,
0.09632127732038498,
-0.023433057591319084,
0.0842786580324173,
-0.002299089217558503,
0.005930595565587282,
-0.004092718008905649,
-0.005284762941300869,
-0.04002062976360321,
0.00043718228698708117,
0.04944923520088196,
0.035946257412433624,
-0.00243219337426126,
-0.024259772151708603,
-0.0022751467768102884,
-0.03678817301988602,
0.0075467596761882305,
0.010544762015342712,
0.0326460637152195,
-0.04892043024301529,
0.013065123930573463,
0.000595897960010916,
-0.004606890957802534,
-0.04378421977162361,
0.07152556627988815,
-0.010963482782244682,
0.014709042385220528,
-0.013593722134828568,
0.02763858623802662,
0.029891718178987503,
0.011445872485637665,
0.021595148369669914,
0.020746007561683655,
-0.04693174734711647,
0.025517672300338745,
0.0416087731719017,
0.01550037506967783,
-0.007979844696819782,
-0.003770391456782818,
0.00935334898531437,
0.019587885588407516,
-0.001218751771375537,
-0.01595347188413143,
0.04260437563061714,
0.029560942202806473,
-0.01954999938607216,
0.051310960203409195,
0.046215325593948364,
-0.0396278090775013,
-0.020025061443448067,
-0.03979737311601639,
-0.03997255116701126,
0.053256478160619736,
0.005035422742366791,
0.03754241019487381,
-0.006199137773364782,
0.011449110694229603,
0.017373401671648026,
0.030416831374168396,
-0.02851131372153759,
-0.08675054460763931,
0.0392799936234951,
0.0036431639455258846,
-0.004859352484345436,
0.038092900067567825,
-0.017070624977350235,
0.09790463745594025,
-0.0021459388080984354,
0.014769630506634712,
0.054541777819395065,
-0.07140994071960449,
-0.04059707000851631,
0.03910441696643829,
-0.012650709599256516,
0.08760455250740051,
0.01659555360674858,
-0.027646441012620926,
0.040648143738508224,
0.030469181016087532,
0.027417322620749474,
-0.011693201027810574,
-0.01474313996732235,
0.059096284210681915,
-0.06709063798189163,
-0.03294948488473892,
-0.034199319779872894,
0.033507443964481354,
-0.04650383070111275,
-0.02134515717625618,
0.004655139520764351,
-0.01659643091261387,
-0.023137526586651802,
-0.0004313740646466613,
-0.03040159121155739,
0.008540688082575798,
-0.023125018924474716,
0.005624847486615181,
-0.0010792869143188,
-0.03252480551600456,
-0.03443853557109833,
-0.01616397686302662,
-0.008380361832678318,
-0.03656185790896416,
0.02575305663049221,
-0.027325628325343132,
0.09464959800243378,
0.09317455440759659,
-0.035816654562950134,
-0.008967009373009205,
0.034922562539577484,
0.03843517228960991,
0.0028632732573896646,
0.019509119912981987,
-0.013212074525654316,
0.029623156413435936,
-0.03663650527596474,
-0.01097856368869543,
-0.022184161469340324,
0.039846714586019516,
-0.06167152523994446,
0.021130084991455078,
0.07291167974472046,
-0.0006009664502926171,
0.03462476283311844,
0.010423580184578896,
0.02075466699898243,
0.06890970468521118,
-0.02767000161111355,
-0.04962480068206787,
-0.03365631774067879,
-0.05536714568734169,
0.011314011178910732,
-0.007668629288673401,
-0.0039027146995067596,
0.03417954593896866,
-0.052473198622465134,
-0.029236430302262306,
0.015392439439892769,
0.03780811280012131,
0.013409966602921486,
0.018806256353855133,
0.015746068209409714,
-0.006600737571716309,
-0.0267172958701849,
-0.01833794265985489,
-0.10854130983352661,
-0.06100863218307495,
0.03572404757142067,
0.03200992941856384,
0.002935165772214532,
0.05130544677376747,
0.0063643972389400005,
0.0068829176016151905,
-0.05449282005429268,
-0.03817642107605934,
0.011524535715579987,
-0.030588964000344276,
0.018634600564837456,
-0.08066606521606445,
0.009556226432323456,
0.017021963372826576,
0.04895118996500969,
-0.013057173229753971,
-0.04590357840061188,
-0.03834860026836395,
-0.04093603044748306,
0.007708882912993431,
-0.03125791251659393,
-0.015456653200089931,
0.036079321056604385,
0.028683725744485855,
-0.0008789995918050408,
-0.05411741882562637,
0.007383069954812527,
0.020622944459319115,
-0.00900509674102068,
0.012013494037091732,
0.03378595411777496,
-0.009221131913363934,
-0.019253594800829887,
0.009154781699180603,
0.03268929943442345,
-0.02937202714383602,
0.03832607343792915,
-0.011133186519145966,
-0.03513917699456215,
0.016046492382884026,
-0.0007364106131717563,
-0.27201002836227417,
0.04127633944153786,
-0.04693842679262161,
0.013516495935618877,
0.049407485872507095,
-0.03699057921767235,
0.04085211828351021,
-0.04520474001765251,
-0.02669898048043251,
-0.023606877774000168,
0.004379175137728453,
0.03897377476096153,
0.0036197423469275236,
0.03242094814777374,
0.030427446588873863,
0.06153610721230507,
-0.003251889022067189,
-0.020177289843559265,
0.023188190534710884,
0.0029190420173108578,
0.03711260110139847,
-0.04194563627243042,
-0.01319843903183937,
0.02083704248070717,
-0.025988832116127014,
0.016890842467546463,
-0.07218597829341888,
0.02040761709213257,
-0.013564111664891243,
0.02051127701997757,
-0.022001460194587708,
-0.013006900437176228,
-0.045061685144901276,
0.0020588350016623735,
0.033999405801296234,
-0.006201275624334812,
0.02068425714969635,
-0.017187142744660378,
-0.004604502115398645,
0.016295302659273148,
0.03936375305056572,
0.015300022438168526,
-0.03084101900458336,
0.001962867798283696,
0.05949383229017258,
0.016662636771798134,
0.00003283266778453253,
-0.03283674269914627,
-0.014669165015220642,
0.06070779263973236,
0.02016146294772625,
-0.04703875631093979,
-0.01692560687661171,
0.008707801811397076,
-0.0026556947268545628,
-0.0038121920078992844,
0.015021520666778088,
-0.016704320907592773,
-0.013178764842450619,
0.02517526224255562,
-0.015791380777955055,
-0.016007138416171074,
0.007915087975561619,
-0.018137022852897644,
-0.027795417234301567,
-0.006570708472281694,
-0.06782890111207962,
-0.05131451040506363,
0.04086325317621231,
0.024834048002958298,
-0.06632716953754425,
-0.003845229046419263,
-0.021991601213812828,
-0.08346571028232574,
0.012899314984679222,
-0.002237393520772457,
0.019408738240599632,
-0.02138911373913288,
0.0064045037142932415,
0.03658434748649597,
0.001335022272542119,
0.00784949492663145,
0.007279571611434221,
0.05082856863737106,
0.009948622435331345,
-0.014364431612193584,
0.012968869879841805,
-0.040144070982933044,
-0.02280891314148903,
-0.048624005168676376,
0.0506916418671608,
-0.005351994652301073,
0.04016506299376488,
-0.04206528514623642,
0.02433524839580059,
0.005620834417641163,
-0.002977984491735697,
0.08239838480949402,
0.019929684698581696,
0.0015674949390813708,
0.05481739342212677,
-0.07137797027826309,
-0.03274769335985184,
-0.095565065741539,
-0.02103533409535885,
-0.01805761083960533,
-0.053412411361932755,
-0.0062711057253181934,
0.007919665426015854,
-0.02196928858757019,
-0.019859306514263153,
0.0038998255040496588,
-0.001887946273200214,
0.010900389403104782,
-0.009020842611789703,
-0.024093570187687874,
0.02088128589093685,
0.036737632006406784,
0.015888331457972527,
0.00850758422166109,
-0.028765611350536346,
0.036068737506866455,
-0.027472440153360367,
0.005142791662365198,
-0.008186052553355694,
-0.021686384454369545,
-0.020815355703234673,
0.010702830739319324,
0.037102892994880676,
-0.002076110802590847,
0.04749072715640068,
0.07397367060184479,
0.004770546220242977,
-0.03341346234083176,
0.026125982403755188,
0.0034310731571167707,
-0.05596882477402687,
-0.018400799483060837,
0.020752137526869774,
-0.060382965952157974,
-0.00047379080206155777,
-0.020961102098226547,
0.0574248768389225,
-0.0026479121297597885,
0.0844869315624237,
0.014586267992854118,
0.016761764883995056,
0.0664009377360344,
0.023857122287154198,
0.006317981984466314,
-0.004361595027148724,
-0.009340358898043633,
0.020325129851698875,
-0.0074940635822713375,
0.029003867879509926,
-0.048711828887462616,
0.015527362935245037,
-0.001812200527638197,
0.030044617131352425,
-0.052929941564798355,
0.017466505989432335,
0.01473427377641201,
-0.06255654990673065,
-0.024619458243250847,
-0.004981131758540869,
0.035233091562986374,
-0.034903302788734436,
0.020960409194231033,
-0.02979036420583725,
-0.02007206529378891,
0.010561680421233177,
-0.03556749224662781,
-0.010290681384503841,
0.005152206867933273,
-0.048310909420251846,
0.021429933607578278,
-0.0142421405762434,
0.007597486954182386,
-0.040221136063337326,
0.04420359060168266,
0.009194589219987392,
-0.04867607355117798,
-0.017557624727487564,
0.013264982029795647,
0.0832977443933487,
-0.011011197231709957,
-0.047331374138593674,
-0.018673498183488846,
-0.029982630163431168,
0.04784204810857773,
-0.004460630938410759,
-0.006318585481494665,
-0.02581918239593506,
-0.028983112424612045,
-0.008543144911527634,
-0.051039066165685654,
0.03047686628997326,
0.07306131720542908,
-0.028218058869242668,
-0.019511284306645393,
-0.014590704813599586,
0.018443506211042404,
-0.03890533745288849,
0.027460744604468346,
0.011697488836944103,
-0.0535639151930809,
0.015070922672748566,
0.08464157581329346,
0.005554063245654106,
0.012999412603676319,
0.0013225157745182514,
-0.05525848641991615,
-0.06493336707353592,
0.04110995680093765,
0.019765619188547134,
0.007974051870405674,
-0.006982771214097738,
-0.010023032315075397,
0.024446306750178337,
0.011309857480227947,
0.011835360899567604,
-0.03229955956339836,
-0.015994364395737648,
-0.02541561797261238,
-0.01562338974326849,
0.03498151898384094,
0.020353272557258606,
0.01022482942789793,
-0.0016166784334927797,
-0.03308209031820297,
0.030677715316414833,
-0.05185917019844055,
-0.015060178004205227,
0.02929587848484516,
0.01817522756755352,
0.00444807019084692,
-0.03520606458187103,
0.006551283411681652,
0.002842183457687497,
-0.0035942981485277414,
0.018412625417113304,
-0.02109813690185547,
-0.01643822155892849,
0.0032311659306287766,
-0.027959858998656273,
0.010148882865905762,
0.011639708653092384,
0.004212983883917332,
-0.012966356240212917,
0.06113310530781746,
0.015202469192445278,
0.006785176228731871,
-0.022656258195638657,
0.0009532069088891149,
0.03994789347052574,
-0.0440780408680439,
-0.07230386883020401,
-0.054202601313591,
-0.05497239530086517,
0.061558350920677185,
0.01217771228402853,
0.0419379398226738,
-0.03737899661064148,
0.042789146304130554,
0.013728487305343151,
0.014569406397640705,
0.014611735939979553,
-0.04006192833185196,
0.043859098106622696,
-0.05744190141558647,
-0.004536065738648176,
-0.03574158996343613,
0.03850831091403961,
0.06185282766819,
-0.029336243867874146,
-0.019321750849485397,
0.022986453026533127,
0.0070298584178090096,
0.02277904562652111,
-0.04056164622306824,
-0.07045941799879074,
-0.0040451413951814175,
0.027470584958791733,
0.02270231395959854,
0.029672881588339806,
-0.0621035173535347,
-0.023976067081093788,
-0.03804207220673561,
-0.05271037667989731,
-0.0017229228978976607,
0.038663290441036224,
0.03514808043837547,
-0.037514109164476395,
0.009589223191142082,
-0.021131383255124092,
0.030856482684612274,
0.033856458961963654,
0.031120633706450462,
-0.007131531368941069,
0.04261479154229164,
-0.024335285648703575,
0.07087291032075882,
0.05138678103685379,
0.00040432100649923086,
-0.0015953986439853907,
0.02967020496726036,
0.012960884720087051,
-0.02501283772289753,
0.02016165293753147,
0.01981315203011036,
-0.008189255371689796,
-0.0630011260509491,
0.06101333349943161,
0.011983929201960564,
-0.08050861954689026,
-0.014963608235120773,
0.04819123446941376,
-0.012400112114846706,
-0.0006334982463158667,
-0.001327587990090251,
0.027976416051387787,
0.0470108799636364,
0.04596329107880592,
0.0025135474279522896,
0.033174436539411545,
0.06415001302957535,
0.03441517427563667,
-0.013438877649605274,
-0.04336119070649147,
0.07375406473875046,
0.06183430552482605,
0.028181901201605797,
-0.009725087322294712,
0.054658353328704834,
-0.03663116693496704,
-0.0449330173432827,
-0.04171064496040344,
0.010179189033806324,
-0.018406663089990616,
-0.01818072982132435,
0.011518542654812336,
0.07893632352352142,
-0.03131571412086487,
0.05294600501656532,
0.0048220232129096985,
0.02056300826370716,
0.014326698146760464,
0.023700471967458725,
0.017225440591573715,
-0.02679949812591076,
0.04526519402861595,
0.015140709467232227,
-0.027438821271061897,
0.014407763257622719,
-0.003130440367385745,
0.0026815820019692183,
0.013193261809647083,
-0.02324296347796917,
-0.03817576542496681,
0.010121977888047695,
-0.03661348670721054,
-0.012512380257248878,
0.06037067994475365,
-0.02656428888440132,
-0.0031549446284770966,
0.0015274358447641134,
0.023359620943665504,
-0.0329783670604229,
0.049746472388505936,
0.03241298347711563,
-0.009701463393867016,
-0.01669311709702015,
-0.03816532343626022,
-0.009381894022226334,
-0.004733899608254433,
0.021369624882936478,
0.034837741404771805,
-0.03172171860933304,
0.0015044454485177994,
0.03641245886683464,
-0.04904737323522568,
-0.02222987823188305,
-0.07245148718357086,
-0.005253043491393328,
-0.00965132936835289,
-0.046096332371234894,
-0.0320240780711174,
0.01818937622010708,
-0.0004128322470933199,
-0.013997025787830353,
0.01977897621691227,
-0.0360642671585083,
0.03212713450193405,
0.046952057629823685,
-0.04510963708162308,
-0.046032510697841644,
0.06851378828287125,
-0.02923625148832798,
-0.017916230484843254,
0.05576368793845177,
-0.0008778385818004608,
-0.013204287737607956,
-0.02192956954240799,
0.0649782344698906,
0.033744800835847855,
0.02034006267786026,
-0.049851324409246445,
0.028162095695734024,
-0.08904562890529633,
0.017108844593167305,
0.04170124977827072,
-0.027504509314894676,
-0.08882702887058258,
0.0231242086738348,
-0.027089769020676613,
0.005710443016141653,
0.03743680939078331,
0.005666802171617746,
-0.007496437523514032,
-0.05698968842625618,
0.008856571279466152,
0.0074523258954286575,
0.03900601342320442,
0.046727076172828674,
-0.04427848011255264,
0.06730592250823975,
0.038525644689798355,
-0.014731167815625668,
-0.06522344052791595,
0.04160170257091522,
0.0341377817094326,
0.016391420736908913,
0.006371293682605028,
-0.03992979973554611,
-0.05205284059047699,
-0.07152292132377625,
-0.02359730377793312,
0.03659479692578316,
-0.011888616718351841,
-0.009141293354332447,
0.012766850180923939,
0.023458074778318405,
0.027025403454899788,
-0.02741224318742752,
-0.0028412332758307457,
-0.023489611223340034,
-0.02974185161292553,
-0.06649437546730042,
-0.043707042932510376,
-0.02747577801346779,
0.0038830051198601723,
-0.003367051715031266,
0.0049526202492415905,
-0.05321340262889862,
0.0012113989796489477,
-0.02994316630065441,
0.0535409189760685,
-0.0013083498924970627,
0.008431562222540379,
0.01815403439104557
] | null |
552 |
Leveraging Predictive Equivalence in Decision Trees
|
https://openreview.net/forum?id=CdqBQwFG9i
|
[
"Hayden McTavish",
"Zachery Boner",
"Jon Donnelly",
"Margo Seltzer",
"Cynthia Rudin"
] |
Poster
|
Decision trees are widely used for interpretable machine learning due to their clearly structured reasoning process. However, this structure belies a challenge we refer to as predictive equivalence: a given tree's decision boundary can be represented by many different decision trees. The presence of models with identical decision boundaries but different evaluation processes makes model selection challenging. The models will have different variable importance and behave differently in the presence of missing values, but most optimization procedures will arbitrarily choose one such model to return. We present a boolean logical representation of decision trees that does not exhibit predictive equivalence and is faithful to the underlying decision boundary. We apply our representation to several downstream machine learning tasks. Using our representation, we show that decision trees are surprisingly robust to test-time missingness of feature values; we address predictive equivalence's impact on quantifying variable importance; and we present an algorithm to optimize the cost of reaching predictions.
|
Decision Tree, Interpretability, Machine Learning, Missing Data, Variable Importance, Cost Optimization
|
Decision trees’ representations are not unique; we use this to improve missingness handling, variable importance, and cost optimization.
| 13,085 |
2506.14143
|
[
-0.047910451889038086,
-0.023466182872653008,
-0.028450092300772667,
0.024430766701698303,
0.0450148731470108,
0.0399651899933815,
0.03026595711708069,
-0.021963030099868774,
-0.02271646074950695,
-0.009460674598813057,
-0.03953133895993233,
0.021043509244918823,
-0.06975488364696503,
-0.005865877028554678,
0.00690933084115386,
0.0459553524851799,
0.030504519119858742,
0.0001611971529200673,
0.029601823538541794,
-0.006588040851056576,
-0.007397152017802,
-0.012572181411087513,
0.016132676973938942,
0.038642071187496185,
0.03347728028893471,
0.03275671973824501,
0.045535892248153687,
-0.016315609216690063,
-0.041542381048202515,
0.005534033756703138,
0.06250733137130737,
0.014359457418322563,
-0.013167108409106731,
-0.026175860315561295,
-0.02217022515833378,
0.048169609159231186,
-0.01507487241178751,
0.01198264304548502,
-0.003186593996360898,
0.01679007150232792,
-0.028165452182292938,
0.021057363599538803,
0.013609321787953377,
0.049259014427661896,
-0.07756749540567398,
0.010490662418305874,
-0.10324344038963318,
0.011066454462707043,
0.012618309818208218,
-0.031882137060165405,
-0.0795925185084343,
0.040265221148729324,
-0.05016093701124191,
-0.00949244387447834,
0.00547718396410346,
0.06633944064378738,
0.03488277643918991,
-0.06463195383548737,
-0.0229943860322237,
-0.04824309051036835,
-0.05722285062074661,
0.015351518988609314,
0.015539039857685566,
0.009348547086119652,
0.00032943644328042865,
-0.03562089055776596,
0.007836335338652134,
0.044323571026325226,
-0.06565021723508835,
-0.041270434856414795,
-0.034676216542720795,
-0.003790502203628421,
-0.004560943692922592,
0.009246770292520523,
0.02198312059044838,
-0.014238004572689533,
-0.027615346014499664,
0.0032467965502291918,
0.03393588215112686,
0.0029603990260511637,
0.012952812016010284,
0.03427882865071297,
0.06823240965604782,
0.032037075608968735,
0.02062554843723774,
-0.0007567189168184996,
-0.03405271843075752,
-0.04916150122880936,
-0.07888961583375931,
0.04151308164000511,
-0.006020693574100733,
-0.02863018587231636,
0.031165895983576775,
0.03606746345758438,
0.014283127151429653,
-0.010295295156538486,
0.050944432616233826,
0.011831160634756088,
0.005909336265176535,
-0.017679447308182716,
-0.04942036047577858,
-0.036643851548433304,
-0.016943158581852913,
0.003419095417484641,
-0.11297833174467087,
-0.03521716222167015,
-0.027319081127643585,
-0.02261449210345745,
-0.0018009103368967772,
0.0006864579045213759,
-0.03984946385025978,
0.00031730832415632904,
0.03125816956162453,
-0.023082436993718147,
-0.08572227507829666,
0.03512360155582428,
-0.020924124866724014,
0.005726027302443981,
-0.004264809191226959,
0.01492123119533062,
0.04707708954811096,
0.047077637165784836,
0.002982259960845113,
0.0718875527381897,
0.016020281240344048,
-0.00420803390443325,
0.04356018826365471,
0.0232707466930151,
-0.022438636049628258,
-0.07429733127355576,
0.004801379516720772,
0.02630654349923134,
-0.00011631198140094057,
-0.015849247574806213,
-0.01649426855146885,
-0.019766589626669884,
-0.04297226294875145,
-0.0011191993253305554,
0.04645255208015442,
0.0009919301373884082,
-0.004312821198254824,
-0.032488543540239334,
0.05908019095659256,
-0.006978520192205906,
0.05089118704199791,
-0.0362253338098526,
-0.008361145853996277,
0.01021940354257822,
-0.03554026409983635,
-0.012409752234816551,
-0.004515576176345348,
0.020533649250864983,
-0.017727073282003403,
-0.05993856117129326,
0.016699137166142464,
0.06806875765323639,
0.0017308087553828955,
0.02509390003979206,
-0.019930560141801834,
0.02092607133090496,
0.025746405124664307,
0.007047098129987717,
-0.020186571404337883,
-0.009055400267243385,
-0.0014137178659439087,
-0.03418107330799103,
0.05331207439303398,
0.04866642504930496,
-0.03758401796221733,
0.04916033148765564,
-0.017405111342668533,
-0.059520184993743896,
0.06982186436653137,
0.0008840675582177937,
-0.012175055220723152,
0.024333203211426735,
0.05114727467298508,
0.005306515377014875,
0.03830612078309059,
0.009317642077803612,
-0.07713969051837921,
0.02955801598727703,
-0.008127066306769848,
-0.010665998794138432,
0.0037402950692921877,
0.01963346265256405,
0.07643312960863113,
-0.0531296506524086,
0.04350525140762329,
0.010173686780035496,
-0.05695154517889023,
-0.040507130324840546,
0.04717133939266205,
-0.011236040852963924,
0.03354479372501373,
0.0017866058042272925,
-0.04363984987139702,
0.04295802116394043,
-0.017478689551353455,
0.011932597495615482,
0.040156491100788116,
-0.026523666456341743,
0.04266863316297531,
0.0012224522652104497,
-0.029527107253670692,
0.001914195716381073,
0.014552505686879158,
-0.08117429167032242,
-0.046243976801633835,
-0.00664400914683938,
-0.006834556348621845,
-0.015024503692984581,
-0.016077017411589622,
-0.02453785203397274,
0.046895019710063934,
0.03556927666068077,
0.005972499959170818,
0.0028327961917966604,
0.012550500221550465,
-0.06724892556667328,
0.024601832032203674,
0.01950550451874733,
-0.02731914632022381,
0.020430609583854675,
-0.005885844584554434,
0.08564917743206024,
0.06373628973960876,
0.0027925828471779823,
-0.00492245564237237,
0.01796911656856537,
0.0054652695544064045,
0.017120303586125374,
-0.000016401208995375782,
-0.010781309567391872,
0.03950367122888565,
-0.0027397728990763426,
-0.014256366528570652,
-0.015472029335796833,
0.05841302499175072,
-0.05584695562720299,
0.001618500449694693,
0.049355752766132355,
-0.033920228481292725,
0.04645012691617012,
0.002641945844516158,
0.008466825820505619,
0.035879943519830704,
-0.014530595391988754,
-0.05547282099723816,
-0.02607443928718567,
-0.012254049070179462,
-0.009568620473146439,
0.007502258755266666,
-0.01367056556046009,
0.00016134743054863065,
-0.05690194293856621,
0.014561234973371029,
0.0046830675564706326,
0.07773884385824203,
0.054788701236248016,
0.022099683061242104,
-0.004705476108938456,
0.0004095855401828885,
-0.03670622035861015,
0.023323526605963707,
-0.08610711246728897,
-0.07385747879743576,
0.030550232157111168,
0.05981621891260147,
0.01993662677705288,
0.02170642279088497,
-0.04243467003107071,
0.03437172621488571,
-0.001952070277184248,
-0.04305519908666611,
0.009194002486765385,
0.02418808452785015,
0.00549781508743763,
-0.047915372997522354,
-0.00704108877107501,
0.02909274771809578,
0.038404081016778946,
-0.007266519125550985,
0.0058638169430196285,
-0.03018428198993206,
-0.044187031686306,
-0.013978260569274426,
-0.061528198421001434,
-0.013907852582633495,
0.05510248988866806,
0.02879452146589756,
0.025533078238368034,
-0.03130296245217323,
0.017978528514504433,
0.047671522945165634,
0.04039604961872101,
0.03419193997979164,
0.02922237291932106,
0.023205915465950966,
-0.004084457643330097,
-0.004126343410462141,
0.05241372808814049,
0.006882662419229746,
0.005373729392886162,
0.026248957961797714,
0.04974602535367012,
0.03099839761853218,
0.01935841515660286,
-0.2759809195995331,
-0.03379793465137482,
0.04050327092409134,
-0.0302862748503685,
0.027283044531941414,
-0.025577198714017868,
0.05396347492933273,
-0.02636883221566677,
-0.021489648148417473,
0.032096922397613525,
0.018501343205571175,
-0.00060121132992208,
0.005910272244364023,
0.06231434643268585,
0.040491677820682526,
0.03535262867808342,
-0.008922395296394825,
-0.015592938289046288,
0.006163142155855894,
0.03231317549943924,
-0.03483735769987106,
-0.061973560601472855,
-0.04162222519516945,
0.02739897556602955,
-0.022327754646539688,
0.05789688229560852,
-0.07541219890117645,
0.000025039567844942212,
-0.061335332691669464,
-0.017672579735517502,
0.008637038990855217,
-0.01701042242348194,
-0.05085289105772972,
0.037024546414613724,
0.035685695707798004,
-0.009328504092991352,
0.0340840145945549,
0.02696753665804863,
-0.004100827034562826,
0.050006475299596786,
-0.023916173726320267,
-0.012900861911475658,
-0.019461315125226974,
-0.0016641065012663603,
0.041143544018268585,
0.025802474468946457,
0.010507206432521343,
-0.015532059594988823,
-0.00886474084109068,
0.021912341937422752,
0.0013411440886557102,
-0.0064350333996117115,
-0.008982867933809757,
0.014720054343342781,
0.007794097997248173,
-0.010968057438731194,
0.0036633892450481653,
-0.006165097001940012,
-0.04907068982720375,
0.01828816905617714,
-0.010254204273223877,
-0.07484163343906403,
0.015079542994499207,
-0.02724551595747471,
-0.027794433757662773,
-0.022688115015625954,
-0.10053025931119919,
-0.041993722319602966,
0.04003452882170677,
0.04388332739472389,
0.012816037982702255,
0.013238698244094849,
-0.01829211413860321,
-0.09087550640106201,
0.012616373598575592,
0.0013833550037816167,
0.007213189732283354,
0.0013739655259996653,
0.016434550285339355,
0.02277248166501522,
-0.013187323696911335,
-0.0249300729483366,
-0.01208870392292738,
0.009438272565603256,
0.03459335118532181,
0.003161051543429494,
0.012480003759264946,
-0.02004551887512207,
-0.04119355231523514,
-0.020365042611956596,
-0.009166928008198738,
0.019406581297516823,
0.028080139309167862,
0.02187075838446617,
0.04395734891295433,
0.033404916524887085,
0.058994945138692856,
0.041119299829006195,
0.030212407931685448,
-0.003525267355144024,
-0.026167379692196846,
-0.07936553657054901,
-0.026997556909918785,
-0.04781405255198479,
-0.05742264911532402,
0.008708507753908634,
-0.05471118539571762,
-0.016646532341837883,
0.03441103175282478,
-0.00811179168522358,
-0.00870622880756855,
-0.035245973616838455,
0.0021288986317813396,
-0.0204242542386055,
0.011345390230417252,
-0.044395700097084045,
-0.035886991769075394,
0.013915196992456913,
0.040767792612314224,
-0.006665761116892099,
-0.004250603727996349,
0.02580048330128193,
0.013435089029371738,
0.004669680260121822,
-0.018820928409695625,
-0.015133715234696865,
0.0018458979902788997,
0.00214291806332767,
-0.034959450364112854,
-0.044174954295158386,
0.042285677045583725,
0.051635485142469406,
-0.007924798876047134,
0.039903029799461365,
0.04134952649474144,
-0.015233514830470085,
-0.0044833398424088955,
0.009773199446499348,
0.036881107836961746,
-0.036714449524879456,
0.0034324107691645622,
-0.005272509064525366,
0.05047778785228729,
0.03075135126709938,
0.08588603883981705,
0.0006283878465183079,
-0.016956524923443794,
0.0020936455111950636,
-0.0059817759320139885,
-0.03893473371863365,
0.02226124331355095,
-0.03564620390534401,
-0.005028109531849623,
-0.04515348747372627,
0.025761429220438004,
-0.000202410010388121,
0.024168165400624275,
0.002710780594497919,
0.033058710396289825,
-0.09468443691730499,
0.07066754251718521,
-0.002055349061265588,
0.041729774326086044,
-0.032176632434129715,
0.03513731807470322,
0.06534604728221893,
-0.022872691974043846,
0.007796339690685272,
-0.011294721625745296,
0.024838119745254517,
0.032389432191848755,
-0.028005450963974,
-0.036920152604579926,
0.024344971403479576,
-0.020428046584129333,
0.015166315250098705,
-0.011923803947865963,
-0.01565234363079071,
-0.05042373389005661,
0.015349115245044231,
-0.022250661626458168,
-0.012395504862070084,
-0.027503248304128647,
0.0019434208516031504,
0.0715901330113411,
0.004558756481856108,
0.03890657424926758,
0.014450629241764545,
-0.03991100192070007,
0.023588597774505615,
-0.012941688299179077,
0.011448727920651436,
-0.013594585470855236,
-0.05615255609154701,
-0.032268162816762924,
-0.03685913607478142,
0.013403989374637604,
-0.021165862679481506,
-0.026810161769390106,
-0.0044334810227155685,
0.0038214761298149824,
-0.017019815742969513,
-0.04365406557917595,
-0.032553933560848236,
0.04776991158723831,
-0.07188205420970917,
-0.0026833023875951767,
0.0647478774189949,
-0.039839260280132294,
0.027492845430970192,
-0.033941928297281265,
-0.05838888883590698,
-0.06351663172245026,
-0.023892495781183243,
0.01951049268245697,
-0.013329969719052315,
-0.019149694591760635,
0.0060324352234601974,
0.00830957479774952,
-0.04066869989037514,
0.04433170706033707,
0.00778523925691843,
0.005844522267580032,
-0.01023547537624836,
0.009350800886750221,
0.06889215856790543,
0.0005045731086283922,
-0.0021412058267742395,
-0.0005937051028013229,
-0.010184159502387047,
-0.015759140253067017,
-0.04686514288187027,
-0.007329129613935947,
0.041925542056560516,
0.004695895593613386,
-0.03739962726831436,
-0.03865798935294151,
0.0787072628736496,
-0.028362872079014778,
-0.0328434519469738,
0.00015299432561732829,
0.018459932878613472,
-0.030104495584964752,
-0.00796311255544424,
0.01742655783891678,
0.022435633465647697,
0.01369499508291483,
-0.03271665424108505,
-0.005359556991606951,
-0.0038681533187627792,
-0.02875855378806591,
0.011217392981052399,
-0.06714487820863724,
-0.008397150784730911,
0.04094914346933365,
-0.011207985691726208,
-0.047940101474523544,
-0.04871593788266182,
0.012821763753890991,
0.031261835247278214,
-0.002373418537899852,
0.03602517023682594,
0.03496384620666504,
0.0305020734667778,
0.020526833832263947,
0.0341058112680912,
0.00650235777720809,
-0.025363817811012268,
0.04163206368684769,
-0.04975755512714386,
-0.0019296843092888594,
-0.05892651900649071,
-0.002175715519115329,
0.08785384893417358,
-0.04065895080566406,
-0.02423666976392269,
-0.008609587326645851,
-0.032609760761260986,
-0.006674769334495068,
0.007656480651348829,
-0.04730286821722984,
0.002505177166312933,
-0.019000573083758354,
0.020743178203701973,
0.0395306833088398,
-0.04223598539829254,
0.0019977977499365807,
0.004352737218141556,
-0.032654497772455215,
0.02140035666525364,
-0.009943563491106033,
0.06427013128995895,
-0.01859494484961033,
-0.017063280567526817,
-0.005447736009955406,
0.0007771512609906495,
0.008565150201320648,
0.042285893112421036,
0.02772151120007038,
0.023345520719885826,
-0.04758705943822861,
0.04756751284003258,
0.020281970500946045,
-0.0056873466819524765,
-0.028066109865903854,
0.03285260871052742,
0.00034803376183845103,
-0.036819182336330414,
0.02847701497375965,
0.003772702533751726,
0.006742998491972685,
-0.03223315253853798,
0.0581970252096653,
0.032051559537649155,
-0.058047812432050705,
-0.008633964695036411,
-0.0038534870836883783,
-0.056325335055589676,
0.023910876363515854,
0.012257934547960758,
-0.017396923154592514,
-0.027093438431620598,
0.06400397419929504,
0.030420484021306038,
0.04881991073489189,
0.08410084247589111,
0.0071843345649540424,
-0.005087418481707573,
-0.015672003850340843,
0.074506014585495,
0.06445290893316269,
0.032606981694698334,
0.02402602694928646,
0.07610820233821869,
-0.06626434624195099,
-0.03591815009713173,
0.0025979098863899708,
0.008707599714398384,
-0.011649498715996742,
-0.023620598018169403,
0.057276077568531036,
0.08272242546081543,
0.008793117478489876,
0.06933016330003738,
-0.02419428527355194,
0.00022791993978898972,
0.04096990451216698,
-0.003251997521147132,
-0.008716210722923279,
0.063508041203022,
0.01139891892671585,
0.01064557209610939,
-0.04437849298119545,
-0.020417828112840652,
-0.006775863468647003,
-0.014334664680063725,
-0.001452182070352137,
0.014493917115032673,
-0.02504950761795044,
0.015166142024099827,
-0.018908673897385597,
0.05184529349207878,
0.09019160270690918,
-0.019279301166534424,
-0.03220878913998604,
0.0032726814970374107,
0.040899939835071564,
0.016622165217995644,
0.06344296783208847,
-0.013502686284482479,
-0.008104012347757816,
0.006812105420976877,
-0.04672041907906532,
0.02775622345507145,
0.022635728120803833,
-0.0007666416931897402,
-0.015008977614343166,
-0.058871787041425705,
-0.04252846539020538,
0.016765020787715912,
0.05244884267449379,
-0.005213028751313686,
-0.04773993417620659,
-0.0158101636916399,
-0.03328083083033562,
-0.0549624003469944,
-0.07059827446937561,
-0.0048030889593064785,
-0.005277684424072504,
-0.01278486754745245,
-0.01621904969215393,
-0.009849769994616508,
0.013781554065644741,
0.04117236286401749,
-0.0377216711640358,
-0.00530617730692029,
0.04871411249041557,
0.019573727622628212,
0.0029138929676264524,
0.025403721258044243,
0.005670175421983004,
-0.04446479305624962,
-0.03016267530620098,
0.007866649888455868,
0.0012907169293612242,
0.023551814258098602,
-0.006016086786985397,
-0.014590690843760967,
-0.074915312230587,
-0.004417430609464645,
-0.0017889081500470638,
-0.0435226708650589,
-0.07453446835279465,
0.03338195011019707,
-0.02503185160458088,
0.013209973461925983,
0.05090834200382233,
0.005420436151325703,
-0.012197775766253471,
-0.001904264441691339,
0.01987144537270069,
-0.04202251136302948,
0.004737053997814655,
0.03708122298121452,
-0.04041391983628273,
0.0661013126373291,
0.028951702639460564,
-0.05297625809907913,
-0.03916626423597336,
0.04695751890540123,
-0.010110676288604736,
-0.03331364318728447,
-0.059791095554828644,
-0.04360267147421837,
-0.01556754857301712,
-0.10561982542276382,
0.013077986426651478,
0.02133195474743843,
0.02071312442421913,
-0.04715053737163544,
-0.003914234694093466,
0.010679131373763084,
-0.01266341470181942,
-0.008264455012977123,
-0.027366304770112038,
-0.003065386787056923,
-0.04209861531853676,
-0.0294388048350811,
-0.05723506584763527,
0.016416434198617935,
-0.027676617726683617,
0.03835337981581688,
-0.05154279246926308,
-0.04096009582281113,
-0.008865218609571457,
-0.003813403658568859,
0.03307294100522995,
0.03623916581273079,
0.035578202456235886,
-0.02364771068096161
] |
https://github.com/HaydenMcT/predictive-equivalence
|
553 |
Flexibility-conditioned protein structure design with flow matching
|
https://openreview.net/forum?id=890gHX7ieS
|
[
"Vsevolod Viliuga",
"Leif Seute",
"Nicolas Wolf",
"Simon Wagner",
"Arne Elofsson",
"Jan Stühmer",
"Frauke Gräter"
] |
Poster
|
Recent advances in geometric deep learning and generative modeling have enabled the design of novel proteins with a wide range of desired properties. However, current state-of-the-art approaches are typically restricted to generating proteins with only static target properties, such as motifs and symmetries. In this work, we take a step towards overcoming this limitation by proposing a framework to condition structure generation on flexibility, which is crucial for key functionalities such as catalysis or molecular recognition. We first introduce BackFlip, an equivariant neural network for predicting per-residue flexibility from an input backbone structure. Relying on BackFlip, we propose FliPS, an SE(3)-equivariant conditional flow matching model that solves the inverse problem, that is, generating backbones that display a target flexibility profile. In our experiments, we show that FliPS is able to generate novel and diverse protein backbones with the desired flexibility, verified by Molecular Dynamics (MD) simulations.
|
Proteins, Protein design, Molecular Dynamics, Flow Matching, Conditional Flow Matching, Generative models, Equivariant models
|
We propose a flow-based generative model for conditioning protein structure design on per-residue flexibility
| 13,075 | null |
[
-0.0080538559705019,
-0.022183770313858986,
-0.017206905409693718,
0.018287278711795807,
0.02612435072660446,
0.006225970573723316,
0.013173511251807213,
0.0007378251757472754,
0.011390747502446175,
-0.05259685963392258,
0.021291019394993782,
-0.02134145423769951,
-0.07134680449962616,
0.024683719500899315,
-0.003942957613617182,
0.06599152088165283,
0.03574381768703461,
0.013084743171930313,
0.019150983542203903,
0.04914236068725586,
-0.01951911859214306,
-0.023634715005755424,
0.033857446163892746,
-0.0007586595020256937,
0.06440938264131546,
-0.028950029984116554,
-0.004009860567748547,
-0.032160189002752304,
-0.010687842965126038,
-0.0023206996265798807,
0.03145734593272209,
0.01254976261407137,
0.002645897911861539,
-0.026559149846434593,
-0.0008716111769899726,
0.0010020761983469129,
-0.07463932037353516,
0.021186206489801407,
0.01255058404058218,
-0.014792382717132568,
-0.043824173510074615,
0.011668297462165356,
-0.005646133795380592,
0.002088191919028759,
-0.02466595359146595,
0.029627522453665733,
-0.0504659079015255,
0.06930945068597794,
-0.04060773923993111,
-0.046753983944654465,
-0.07635737955570221,
0.04235253483057022,
-0.009966349229216576,
-0.011058713309466839,
0.010746510699391365,
-0.0020024238619953394,
0.041976116597652435,
-0.03372740373015404,
-0.013048595748841763,
-0.04411676898598671,
-0.01731114089488983,
0.007476470898836851,
0.019230710342526436,
0.01656060665845871,
0.0013837044825777411,
-0.005396364722400904,
0.006692484952509403,
0.057294297963380814,
-0.05976906418800354,
-0.0037519694305956364,
-0.0337381474673748,
0.0015072290552780032,
0.02684008702635765,
-0.015395887196063995,
0.06744053214788437,
-0.030680658295750618,
-0.02874886989593506,
0.03693392127752304,
0.05073750391602516,
0.025576462969183922,
0.032659001648426056,
0.03485686704516411,
0.01600152999162674,
0.04467281326651573,
0.019177202135324478,
0.02940649911761284,
-0.07735571265220642,
0.01600678451359272,
-0.06261381506919861,
0.04248698800802231,
-0.004792502149939537,
-0.04799335449934006,
0.03349214419722557,
0.037525102496147156,
0.03625582531094551,
-0.023155776783823967,
-0.0047937617637217045,
0.03570546209812164,
0.015296483412384987,
-0.004362442065030336,
-0.012605768628418446,
-0.056130457669496536,
-0.014973854646086693,
-0.028118843212723732,
-0.09564080089330673,
-0.04390206187963486,
-0.039224375039339066,
-0.03768061473965645,
-0.0074218097142875195,
0.0036629189271479845,
-0.033506426960229874,
0.005205662455409765,
0.0017986519960686564,
0.012064246460795403,
-0.08566697686910629,
0.060020238161087036,
0.0053403922356665134,
0.023680267855525017,
-0.01829250529408455,
-0.0041077714413404465,
0.033625345677137375,
0.06497276574373245,
0.0006749939057044685,
0.07786889374256134,
0.04035466909408569,
0.02712392620742321,
-0.053398121148347855,
0.023418210446834564,
-0.05292719230055809,
-0.03284536674618721,
-0.000025271065169363283,
0.035739749670028687,
-0.025986799970269203,
-0.011503847315907478,
-0.004770033992826939,
-0.03376774117350578,
-0.00026459808577783406,
-0.0032654001843184233,
0.045494865626096725,
-0.017056966200470924,
-0.0069532920606434345,
-0.004472922068089247,
0.031440213322639465,
-0.03752860799431801,
0.08281812071800232,
-0.0034518789034336805,
0.005265416111797094,
-0.015491113066673279,
-0.04752369597554207,
0.024157492443919182,
0.013142289593815804,
-0.011211123317480087,
0.004745557438582182,
-0.03236653283238411,
0.018484316766262054,
0.05793464556336403,
0.013076776638627052,
0.03735719248652458,
-0.0007826795917935669,
-0.028724757954478264,
0.010801099240779877,
0.009060290642082691,
-0.02879446931183338,
0.006372553296387196,
0.01017136499285698,
-0.029266905039548874,
0.04870946705341339,
0.055380914360284805,
-0.04398604854941368,
0.00452498160302639,
-0.02639962173998356,
-0.012408237904310226,
0.041022103279829025,
-0.013901629485189915,
-0.012320972047746181,
-0.010015050880610943,
0.03899987041950226,
-0.035590194165706635,
0.029072260484099388,
0.01323977392166853,
-0.07755014300346375,
0.03232615441083908,
0.04002676159143448,
-0.00583078246563673,
-0.021965790539979935,
-0.018006017431616783,
0.11464813351631165,
0.01647038385272026,
0.0006627542315982282,
0.05120626837015152,
-0.06474317610263824,
-0.026838518679142,
0.03973117843270302,
-0.01746288128197193,
0.07801861315965652,
-0.022629301995038986,
0.006702270824462175,
0.06361498683691025,
-0.00014810483844485134,
0.030529314652085304,
-0.0014511862536892295,
0.0022145328111946583,
0.027574481442570686,
-0.06983902305364609,
-0.047004055231809616,
-0.03146957606077194,
0.05681874603033066,
-0.05082561448216438,
-0.0031435091514140368,
0.017494909465312958,
0.023269927129149437,
-0.018276477232575417,
-0.014949711039662361,
-0.011166681535542011,
0.02154538780450821,
-0.004981277976185083,
-0.023791663348674774,
-0.0068130637519061565,
-0.017604732885956764,
-0.015223665162920952,
0.016657983884215355,
0.011696785688400269,
-0.028197534382343292,
0.01178582664579153,
-0.03416714817285538,
0.10514139384031296,
0.0909096896648407,
-0.02959863655269146,
0.0016688475152477622,
0.0551164336502552,
0.036073118448257446,
-0.019452029839158058,
0.01632174476981163,
-0.03138093650341034,
-0.019141284748911858,
-0.015221853740513325,
0.024523325264453888,
-0.005052789114415646,
0.07225912809371948,
-0.08651808649301529,
-0.0003537973971106112,
0.06431996822357178,
-0.027607807889580727,
0.018081579357385635,
-0.012122579850256443,
-0.023930475115776062,
0.0595097690820694,
-0.017823250964283943,
-0.045865122228860855,
0.0015362466219812632,
-0.04591859504580498,
0.016944946721196175,
0.019860515370965004,
-0.026060808449983597,
0.008252563886344433,
-0.05198487266898155,
-0.02317016012966633,
-0.016830697655677795,
0.07190012186765671,
0.05579956993460655,
-0.0027152281254529953,
-0.02092948742210865,
0.013729562051594257,
0.00618179515004158,
-0.03527214750647545,
-0.12316259741783142,
-0.04855751618742943,
-0.012194445356726646,
0.06563223898410797,
0.031048564240336418,
0.05501951649785042,
0.038175757974386215,
-0.004656022414565086,
-0.04433594271540642,
-0.03606797382235527,
-0.005318935960531235,
0.022646525874733925,
0.02615509368479252,
-0.06840278208255768,
-0.030880142003297806,
0.02262311615049839,
0.05905013903975487,
-0.008113170973956585,
-0.04781871661543846,
-0.04085562005639076,
-0.04214446246623993,
-0.044337496161460876,
-0.021862952038645744,
-0.006638884544372559,
0.032891999930143356,
0.03955681994557381,
0.018645087257027626,
-0.045484334230422974,
0.0062882062047719955,
0.05375976860523224,
0.03992624953389168,
0.03680453076958656,
-0.012189431115984917,
0.009227383881807327,
0.0344688855111599,
0.03125212714076042,
0.02006061002612114,
0.005753293167799711,
0.022466164082288742,
-0.012716204859316349,
-0.004502254072576761,
0.036541879177093506,
-0.021756019443273544,
-0.2618730366230011,
-0.04395649582147598,
0.013194948434829712,
-0.005097434390336275,
0.04597128927707672,
0.00006900136941112578,
0.009356753900647163,
-0.027361253276467323,
-0.02761329896748066,
-0.011464711278676987,
0.0032292604446411133,
0.03817358613014221,
0.006913039833307266,
0.028938842937350273,
0.03805452585220337,
0.01666891574859619,
0.017010517418384552,
-0.02725323662161827,
0.01925683207809925,
-0.016592754051089287,
-0.02627623826265335,
-0.06802408397197723,
-0.005347282625734806,
-0.007060451898723841,
-0.02177981100976467,
-0.006042913533747196,
-0.08712512999773026,
0.013204180635511875,
-0.01790725812315941,
-0.0009370648767799139,
-0.03231970965862274,
0.005015393253415823,
-0.02874714694917202,
0.01919107884168625,
0.03236711770296097,
-0.014837043359875679,
-0.008119536563754082,
-0.02844674326479435,
0.028211193159222603,
0.007652535568922758,
0.00973921176046133,
-0.002189052989706397,
-0.020140046253800392,
0.019020874053239822,
0.06659720093011856,
0.0006682785460725427,
-0.0091401981189847,
-0.029506683349609375,
-0.03999016433954239,
0.04688425734639168,
0.00006369324546540156,
-0.04811832308769226,
0.004860920365899801,
0.02840074524283409,
0.02966316044330597,
-0.02263743244111538,
0.03663366287946701,
0.004511186853051186,
0.01484803669154644,
0.029087375849485397,
0.014100016094744205,
-0.058691270649433136,
-0.007900089025497437,
-0.017520900815725327,
-0.014396364800632,
-0.021964112296700478,
-0.044813744723796844,
-0.03296970576047897,
0.01292280200868845,
0.05712393298745155,
0.0003753802157007158,
0.0395149290561676,
-0.030611639842391014,
-0.09497443586587906,
0.06919703632593155,
-0.011818554252386093,
0.02908782660961151,
-0.04937346279621124,
0.008695852942764759,
-0.023108389228582382,
-0.026309341192245483,
-0.01405653078109026,
-0.01092060562223196,
0.04701734706759453,
0.037626348435878754,
-0.016452031210064888,
0.007681035436689854,
-0.038026973605155945,
-0.03266119956970215,
-0.011463869363069534,
0.02650618739426136,
-0.007864628918468952,
0.039641473442316055,
-0.026093633845448494,
0.04243268072605133,
-0.0033811875618994236,
0.02690979093313217,
0.016581295058131218,
0.029607092961668968,
-0.021060990169644356,
0.03829416260123253,
-0.0901695042848587,
-0.028966445475816727,
-0.04032358527183533,
-0.039737820625305176,
-0.009287383407354355,
-0.0374724343419075,
0.008609841577708721,
0.04462379589676857,
0.018647851422429085,
-0.02808900736272335,
-0.034938517957925797,
-0.002814087551087141,
-0.030751101672649384,
-0.00610905047506094,
-0.024044204503297806,
0.032432861626148224,
0.04775715246796608,
0.02474287524819374,
-0.026064902544021606,
-0.03139721229672432,
0.06482769548892975,
-0.027704596519470215,
0.0058670686557888985,
0.0023351104464381933,
0.007781199645251036,
-0.007127240765839815,
-0.015338745899498463,
0.01932867430150509,
0.007833422161638737,
0.023463277146220207,
0.03779439628124237,
0.005264976993203163,
0.0005593683454208076,
0.060703106224536896,
0.055499181151390076,
-0.015330850146710873,
-0.010326454415917397,
-0.003078910056501627,
-0.046304892748594284,
-0.005731960758566856,
-0.02584964968264103,
0.019110500812530518,
0.018067089840769768,
0.05988209322094917,
0.07372912764549255,
0.03482408821582794,
0.04307030513882637,
-0.00905389804393053,
0.013358144089579582,
0.005217332858592272,
-0.0344812385737896,
-0.001201700302772224,
-0.026509247720241547,
0.03306754678487778,
-0.032270513474941254,
0.024580346420407295,
0.014368953183293343,
0.035007379949092865,
-0.06329702585935593,
0.027366790920495987,
-0.006544239819049835,
-0.042050641030073166,
0.009928714483976364,
0.007908097468316555,
0.08135717362165451,
-0.03218599408864975,
-0.005462124943733215,
-0.009948390536010265,
-0.016319895163178444,
-0.018261834979057312,
-0.016013065353035927,
-0.03713204339146614,
-0.00801102165132761,
-0.08704201132059097,
0.012375475838780403,
-0.004308620467782021,
0.005676945671439171,
-0.011773305013775826,
0.0012490800581872463,
0.027441589161753654,
-0.014622826129198074,
0.012165812775492668,
-0.008942361921072006,
0.054051052778959274,
-0.01255720853805542,
-0.05159272998571396,
-0.026280565187335014,
-0.02507002279162407,
0.02549399435520172,
-0.0029764610808342695,
0.0037329383194446564,
-0.027959376573562622,
-0.022739756852388382,
-0.018458237871527672,
-0.04521678388118744,
-0.014393240213394165,
0.04639256000518799,
-0.01687408797442913,
-0.013164227828383446,
-0.013514537364244461,
0.04170054942369461,
-0.03221061825752258,
-0.026468023657798767,
0.053681742399930954,
-0.0612495057284832,
-0.0140999685972929,
0.043022483587265015,
0.019862741231918335,
0.011589235626161098,
-0.004459840711206198,
-0.030151428654789925,
-0.040252793580293655,
0.0016898580361157656,
0.006559306755661964,
0.015558971092104912,
0.013059554621577263,
-0.005224479362368584,
0.000020291157852625474,
-0.0016884109936654568,
0.02793644368648529,
-0.010187101550400257,
-0.0008616442792117596,
-0.03325336426496506,
0.006210151128470898,
0.048542894423007965,
-0.02734994702041149,
0.010619929060339928,
0.029781345278024673,
-0.016900816932320595,
0.046397384256124496,
-0.06943020969629288,
0.02266513928771019,
0.03787166252732277,
-0.02700989879667759,
-0.003452504286542535,
-0.04259874299168587,
0.019667096436023712,
0.014723703265190125,
-0.020933683961629868,
0.011362741701304913,
-0.041765566915273666,
-0.03699972853064537,
0.011986996978521347,
-0.019557207822799683,
0.012414741329848766,
0.01909521035850048,
-0.0031275504734367132,
0.003845403203740716,
0.06452908366918564,
0.028471799567341805,
0.02498900704085827,
0.0053754583932459354,
-0.03914923593401909,
0.04658704996109009,
0.01912643015384674,
-0.03465430811047554,
-0.07645129412412643,
-0.010747023858129978,
-0.0017123916186392307,
-0.02197832241654396,
0.055796246975660324,
-0.05864282697439194,
0.038996100425720215,
-0.01269121840596199,
0.023528924211859703,
0.021311184391379356,
-0.07872223109006882,
0.05622724071145058,
-0.0349215567111969,
-0.023711297661066055,
-0.041818659752607346,
-0.005032239016145468,
0.06646990031003952,
-0.008784862235188484,
0.00233528227545321,
-0.035855501890182495,
-0.07662032544612885,
0.03253088891506195,
-0.04086049646139145,
-0.06514463573694229,
0.030452925711870193,
0.01034698449075222,
0.007736661471426487,
0.07045245170593262,
-0.02481645531952381,
-0.03054128773510456,
-0.0237318966537714,
-0.027252694591879845,
-0.02666057087481022,
0.01350426860153675,
0.05164409056305885,
-0.03143700584769249,
-0.010702709667384624,
-0.04012465104460716,
0.03652505576610565,
0.03736098110675812,
0.04430726543068886,
-0.0013032795395702124,
0.03521304950118065,
-0.02839101478457451,
0.09720456600189209,
0.07215145230293274,
0.024747522547841072,
-0.013207543641328812,
0.010864689014852047,
-0.0013163199182599783,
-0.044808726757764816,
0.029319962486624718,
0.01975734904408455,
-0.02707568183541298,
-0.047586992383003235,
0.04834116995334625,
0.024497810751199722,
-0.07484414428472519,
-0.01338355801999569,
0.02280079387128353,
-0.029908450320363045,
-0.013670476153492928,
0.004506668541580439,
-0.0006562230410054326,
0.018011342734098434,
0.04878884553909302,
-0.01924239471554756,
0.03305598720908165,
0.06357146799564362,
0.042974237352609634,
-0.014652379788458347,
-0.041497450321912766,
0.09389254450798035,
0.032529380172491074,
0.014595877379179,
-0.0030290447175502777,
0.07867301255464554,
-0.02299383096396923,
-0.02770499885082245,
0.004704554099589586,
0.030296029523015022,
-0.04932645708322525,
-0.033460043370723724,
0.03129158169031143,
0.06456141918897629,
0.02210315875709057,
0.052412912249565125,
-0.022333964705467224,
-0.008069767616689205,
0.013948097825050354,
0.034107573330402374,
0.0030529815703630447,
0.03164193779230118,
0.01073509082198143,
0.01210383977741003,
-0.018196361139416695,
-0.004255993757396936,
-0.0327255055308342,
-0.01484985277056694,
0.024982720613479614,
-0.01973005197942257,
-0.0414295569062233,
0.019980834797024727,
-0.036249395459890366,
0.00695363013073802,
0.0746445506811142,
-0.017901146784424782,
-0.052749063819646835,
0.021947775036096573,
0.023160450160503387,
-0.015035087242722511,
0.004339001141488552,
0.01575000211596489,
-0.013871703296899796,
-0.007927733473479748,
-0.06086432561278343,
0.010586416348814964,
0.013903724029660225,
-0.007720945868641138,
0.0020472488831728697,
-0.02581615187227726,
-0.017964281141757965,
0.012265478260815144,
-0.0026377898175269365,
-0.05662267655134201,
-0.08655957877635956,
-0.017323095351457596,
-0.06964061409235,
-0.03416639193892479,
-0.03286922723054886,
0.018601756542921066,
-0.03296661749482155,
-0.04307394102215767,
0.001498335157521069,
-0.018161755055189133,
0.026684561744332314,
0.03457996994256973,
-0.05941767618060112,
-0.029576316475868225,
0.0637328252196312,
0.012518822215497494,
0.016509920358657837,
0.03706909716129303,
0.017872542142868042,
-0.0001309974759351462,
0.003932412713766098,
0.023249229416251183,
0.00670685013756156,
0.0266917385160923,
0.013599586673080921,
0.026324111968278885,
-0.11109532415866852,
0.016838165000081062,
0.02520587481558323,
-0.030743645504117012,
-0.07803146541118622,
0.012869746424257755,
-0.021588673815131187,
-0.009461368434131145,
0.03981473669409752,
0.018520813435316086,
-0.02102055586874485,
-0.04336920380592346,
-0.017376605421304703,
0.03804026544094086,
-0.003638515481725335,
0.06267506629228592,
-0.05148804932832718,
0.06686972826719284,
0.00021334298071451485,
0.0044955965131521225,
-0.024041056632995605,
0.036971136927604675,
0.02359156496822834,
0.002912999829277396,
-0.016540665179491043,
-0.050943415611982346,
-0.0629563257098198,
-0.0784134641289711,
0.0036255379673093557,
0.01681245118379593,
-0.047449901700019836,
-0.027146711945533752,
-0.00927611906081438,
0.07043252885341644,
0.026530839502811432,
-0.03918147459626198,
0.00775575079023838,
-0.03209904208779335,
-0.018169676885008812,
-0.035043179988861084,
-0.027780218049883842,
-0.03348468616604805,
0.011071953922510147,
0.03750833868980408,
-0.014837843365967274,
-0.024872738867998123,
0.004023529123514891,
-0.013996025547385216,
0.009995490312576294,
0.010846572928130627,
0.027306796982884407,
0.018645867705345154
] |
https://github.com/graeter-group/flips
|
554 |
Local Manifold Approximation and Projection for Manifold-Aware Diffusion Planning
|
https://openreview.net/forum?id=EHG5Iv1mmb
|
[
"Kyowoon Lee",
"Jaesik Choi"
] |
Poster
|
Recent advances in diffusion-based generative modeling have demonstrated significant promise in tackling long-horizon, sparse-reward tasks by leveraging offline datasets. While these approaches have achieved promising results, their reliability remains inconsistent due to the inherent stochastic risk of producing infeasible trajectories, limiting their applicability in safety-critical applications. We identify that the primary cause of these failures is inaccurate guidance during the sampling procedure, and demonstrate the existence of manifold deviation by deriving a lower bound on the guidance gap. To address this challenge, we propose *Local Manifold Approximation and Projection* (LoMAP), a *training-free* method that projects the guided sample onto a low-rank subspace approximated from offline datasets, preventing infeasible trajectory generation. We validate our approach on standard offline reinforcement learning benchmarks that involve challenging long-horizon planning. Furthermore, we show that, as a standalone module, LoMAP can be incorporated into the hierarchical diffusion planner, providing further performance enhancements.
|
Offline Reinforcement Learning, Trajectory Optimization, Diffusion Models, Sequential Decision Making
|
training-free method that corrects off-manifold deviations in diffusion-based planners
| 13,073 |
2506.00867
|
[
-0.02880139648914337,
-0.021579604595899582,
-0.011045572347939014,
0.05093631520867348,
0.03201533481478691,
0.04193437844514847,
0.015015745535492897,
-0.03415677696466446,
-0.023123914375901222,
-0.0549016147851944,
-0.012080724351108074,
-0.0008571945945732296,
-0.06839063763618469,
0.007534543052315712,
0.004991096910089254,
0.041106805205345154,
0.03507900610566139,
0.005640269722789526,
-0.028894487768411636,
0.05354919657111168,
-0.009621566161513329,
0.0039058274123817682,
0.039557114243507385,
0.025074021890759468,
0.0270843505859375,
0.018302446231245995,
0.032930295914411545,
0.0021547768265008926,
-0.012429909780621529,
-0.012779365293681622,
-0.018106423318386078,
0.007415402680635452,
-0.0063568358309566975,
-0.060050226747989655,
0.003938106819987297,
-0.015957141295075417,
-0.0368831567466259,
-0.011626828461885452,
-0.00006614324956899509,
0.008239809423685074,
-0.04321367293596268,
0.027233146131038666,
-0.017315007746219635,
0.004727386403828859,
-0.008153817616403103,
-0.025952797383069992,
-0.07232540845870972,
0.008951847441494465,
0.029445849359035492,
-0.0631532147526741,
-0.08970945328474045,
0.04372469708323479,
0.012018974870443344,
-0.0006844340241514146,
-0.01813552901148796,
0.003698446089401841,
0.06851301342248917,
-0.09438762813806534,
-0.003486618399620056,
-0.05837398022413254,
-0.04053622856736183,
0.041000884026288986,
0.00903321523219347,
0.011459462344646454,
-0.016633102670311928,
0.020561566576361656,
0.0027021332643926144,
0.058103736490011215,
-0.0169831570237875,
-0.03898270055651665,
-0.022414306178689003,
-0.003451782278716564,
0.008788792416453362,
0.02593315578997135,
-0.004062401596456766,
-0.03755301609635353,
0.02264774776995182,
0.03409939631819725,
0.048487864434719086,
-0.005174191202968359,
0.01578935980796814,
0.028631556779146194,
0.01323663629591465,
0.02846834808588028,
0.006164610851556063,
0.0277542844414711,
-0.05171646922826767,
-0.015360157936811447,
-0.06711146235466003,
0.027173088863492012,
-0.028251823037862778,
-0.0560605525970459,
0.0026152224745601416,
0.03960368037223816,
0.032897740602493286,
-0.043366044759750366,
0.043435290455818176,
0.026300709694623947,
0.006539294496178627,
-0.02219679020345211,
-0.017640354111790657,
-0.003060687566176057,
-0.027300918474793434,
-0.0021507032215595245,
-0.08617540448904037,
-0.042083609849214554,
-0.026392240077257156,
-0.014381111599504948,
-0.027955079451203346,
-0.0029686291236430407,
-0.05119345709681511,
0.014082171022891998,
0.01723215915262699,
-0.019352560862898827,
-0.07342854142189026,
0.02671820856630802,
0.00981887336820364,
0.007125745061784983,
0.020853865891695023,
0.0024595772847533226,
0.03968731686472893,
0.032496556639671326,
-0.014864408411085606,
0.07516753673553467,
-0.046952854841947556,
0.029359985142946243,
0.030504092574119568,
0.009188475087285042,
-0.022813500836491585,
-0.03680543601512909,
0.04472919926047325,
0.0290849432349205,
0.011704999022185802,
-0.016537494957447052,
0.008524236269295216,
-0.04982384666800499,
-0.007175589445978403,
0.034142203629016876,
0.028122754767537117,
-0.017787402495741844,
0.0015992136904969811,
-0.0015523491892963648,
0.07439132034778595,
-0.02752014249563217,
0.08432883769273758,
-0.04015795513987541,
0.01523660495877266,
-0.03579346835613251,
-0.08604341000318527,
-0.0013610682217404246,
0.030152777209877968,
0.010335635393857956,
-0.002752907807007432,
-0.053906794637441635,
0.005776901263743639,
0.032555099576711655,
0.03175266459584236,
0.018051452934741974,
-0.004359942860901356,
-0.0003837145632132888,
0.018803348764777184,
0.009973287582397461,
-0.030279241502285004,
-0.016268335282802582,
-0.010329374112188816,
-0.06569326668977737,
0.04853801429271698,
0.030757321044802666,
-0.014467119239270687,
-0.045442838221788406,
-0.02292790450155735,
-0.0157015323638916,
0.041073061525821686,
0.005752194672822952,
-0.01691952534019947,
-0.02507256343960762,
0.04189467057585716,
0.009686634875833988,
0.03749804571270943,
0.0386413112282753,
-0.07522901892662048,
-0.00638725096359849,
0.028697405010461807,
-0.060556717216968536,
0.017560886219143867,
-0.044723138213157654,
0.07629287987947464,
-0.015334396623075008,
-0.008008750155568123,
0.02041442319750786,
-0.054421596229076385,
-0.024629628285765648,
0.026447828859090805,
0.014270077459514141,
0.04297659173607826,
0.02763446420431137,
-0.032576944679021835,
0.02726239338517189,
0.02490067109465599,
0.052749067544937134,
0.04295805096626282,
-0.01718597672879696,
0.05453857034444809,
-0.02056081034243107,
-0.005446056369692087,
-0.024568423628807068,
0.050231873989105225,
-0.027065301313996315,
-0.04196585342288017,
0.016059933230280876,
-0.014959700405597687,
-0.013535254634916782,
0.007490687537938356,
-0.0026780099142342806,
0.021580243483185768,
-0.009105886332690716,
-0.0031396676786243916,
0.01695040799677372,
0.02595880627632141,
-0.043445684015750885,
0.030296066775918007,
0.024813245981931686,
-0.052715327590703964,
0.01763819344341755,
-0.018148956820368767,
0.08417447656393051,
0.07247054576873779,
-0.033854205161333084,
-0.03250820189714432,
0.012872325256466866,
0.002885593567043543,
0.007243949454277754,
-0.008262020535767078,
-0.024064993485808372,
0.025417624041438103,
-0.01088952086865902,
0.012052798643708229,
-0.022700374945998192,
0.052987247705459595,
-0.05611353740096092,
-0.005733638536185026,
0.046123698353767395,
0.018819155171513557,
0.07170719653367996,
0.016471311450004578,
0.03185443952679634,
0.056580569595098495,
-0.004790060222148895,
-0.02726770006120205,
-0.0017141221323981881,
-0.049803391098976135,
0.007006881292909384,
0.019007397815585136,
-0.01375341136008501,
0.026928354054689407,
-0.06631121784448624,
-0.00757383881136775,
0.001775430398993194,
0.06383728981018066,
0.05116979405283928,
0.03789088502526283,
0.020722046494483948,
-0.004108718130737543,
-0.006148936226963997,
-0.011686062440276146,
-0.11552386730909348,
-0.04015408456325531,
-0.01267198845744133,
0.03593580052256584,
0.0437481515109539,
0.05835377052426338,
-0.022155024111270905,
0.05426977574825287,
-0.038207024335861206,
-0.03493998944759369,
-0.004293228965252638,
0.010336100123822689,
0.012341148220002651,
-0.030968407168984413,
-0.011959882453083992,
0.043237410485744476,
0.06799329072237015,
-0.018482236191630363,
0.0015471108490601182,
-0.029280921444296837,
-0.0357951894402504,
0.011685383506119251,
-0.002619620878249407,
-0.005752168595790863,
0.0026847515255212784,
0.012539612129330635,
-0.006709979381412268,
-0.025938207283616066,
0.035058461129665375,
0.012807052582502365,
0.057714883238077164,
-0.010290003381669521,
0.00880866777151823,
-0.023105459287762642,
-0.019466402009129524,
0.019975824281573296,
0.03139533847570419,
-0.0083111971616745,
-0.004026616457849741,
-0.02445477433502674,
-0.006260301452130079,
0.024597661569714546,
-0.007447729352861643,
-0.2713068723678589,
-0.006585967727005482,
0.012860909104347229,
0.005395012907683849,
0.03284245729446411,
0.02474699169397354,
0.04285536706447601,
-0.028844686225056648,
-0.035298120230436325,
-0.004962468519806862,
-0.00047393294516950846,
0.0434802807867527,
0.016058487817645073,
0.07894668728113174,
0.05836550146341324,
0.00614689476788044,
-0.006562442518770695,
-0.017313919961452484,
-0.008162729442119598,
0.013791104778647423,
-0.018480557948350906,
-0.07758615165948868,
-0.014257289469242096,
0.028014272451400757,
-0.024008089676499367,
0.03416018187999725,
-0.05275535583496094,
-0.020582852885127068,
-0.030049186199903488,
-0.00010240551637252793,
-0.015803834423422813,
-0.013544187881052494,
-0.013965328224003315,
0.040446698665618896,
-0.009724397212266922,
0.008121644146740437,
-0.006283305119723082,
-0.0008512246422469616,
0.027044419199228287,
-0.006126382388174534,
-0.028157418593764305,
0.01857624389231205,
-0.055055201053619385,
0.02208189107477665,
0.043770838528871536,
-0.00771642941981554,
-0.03716852888464928,
-0.008460624143481255,
0.007875894196331501,
0.029414502903819084,
0.04210272431373596,
-0.02116895467042923,
-0.000019899778635590337,
0.007687119767069817,
0.01186886616051197,
-0.037879180163145065,
-0.025018224492669106,
-0.004654021468013525,
-0.0077254860661923885,
0.033769119530916214,
0.00014921583351679146,
-0.03812545910477638,
-0.03928088769316673,
-0.025206763297319412,
-0.009379525668919086,
-0.03138143569231033,
-0.05692816153168678,
-0.07397710531949997,
0.022482819855213165,
0.019922655075788498,
-0.014433689415454865,
0.008369253017008305,
-0.04162192717194557,
-0.10242194682359695,
0.041869670152664185,
0.023159686475992203,
-0.01440992671996355,
-0.05712581053376198,
0.019031880423426628,
0.02116970717906952,
-0.0457913912832737,
-0.047201212495565414,
0.0027694636955857277,
0.03228696808218956,
0.013416326604783535,
0.0009513664990663528,
0.03989016264677048,
-0.07473666965961456,
-0.022178664803504944,
-0.043818067759275436,
0.04118262603878975,
0.011639446020126343,
0.03832916170358658,
-0.018107032403349876,
0.06069035083055496,
0.01880418322980404,
0.022069403901696205,
0.05794251337647438,
0.012821858748793602,
-0.02818256989121437,
0.04320456087589264,
-0.08754955232143402,
-0.0216782595962286,
-0.03236452117562294,
-0.014236452989280224,
0.027592858299613,
-0.0507458820939064,
-0.008865474723279476,
0.035269491374492645,
0.018280386924743652,
0.005207516718655825,
-0.0014157954137772322,
0.018701402470469475,
0.014610459096729755,
-0.009699870832264423,
-0.01927138864994049,
0.010157916694879532,
0.05426899716258049,
0.03010392189025879,
-0.01003537978976965,
-0.049247730523347855,
0.021104224026203156,
-0.029844945296645164,
0.022054564207792282,
0.01714387536048889,
0.021555377170443535,
-0.009712149389088154,
0.012872826308012009,
0.04245499148964882,
0.023115143179893494,
0.05093614384531975,
0.08472044765949249,
-0.009113647975027561,
-0.009852596558630466,
0.03229779005050659,
-0.029347483068704605,
-0.024492880329489708,
-0.004556650761514902,
0.03748195990920067,
-0.0011492478661239147,
0.014604025520384312,
0.0234859399497509,
0.030105790123343468,
0.024602925404906273,
0.017273275181651115,
0.017163772135972977,
0.008509594947099686,
0.0211397223174572,
0.0060800244100391865,
-0.03864777088165283,
0.04948930814862251,
-0.0507514588534832,
-0.004985347855836153,
-0.023466546088457108,
0.029785411432385445,
-0.056616220623254776,
0.017229381948709488,
-0.06001158803701401,
0.033844560384750366,
-0.057067032903432846,
0.03538336604833603,
0.024236319586634636,
-0.055071763694286346,
0.012939350679516792,
-0.02088259346783161,
0.04626825451850891,
-0.03304744511842728,
-0.015168932266533375,
-0.013243847526609898,
-0.02184503898024559,
0.048082757741212845,
-0.05595827475190163,
-0.057930342853069305,
-0.04357260838150978,
-0.02303643338382244,
-0.005597788840532303,
-0.01741792820394039,
-0.03721509873867035,
-0.05452074110507965,
0.03229866176843643,
0.0329718254506588,
-0.017888786271214485,
-0.0039255875162780285,
-0.01059851236641407,
0.05436300113797188,
-0.044656671583652496,
-0.01762608252465725,
-0.013885343447327614,
-0.010425807908177376,
0.0224730484187603,
0.0030198628082871437,
0.026983220130205154,
-0.05807862430810928,
-0.05053353309631348,
-0.01105062197893858,
-0.052678998559713364,
0.026273882016539574,
0.005172934383153915,
-0.009774059988558292,
0.020672766491770744,
-0.032652392983436584,
0.006020580884069204,
-0.020489178597927094,
0.014779221266508102,
0.04426616430282593,
-0.061037175357341766,
0.018452664837241173,
0.06969904899597168,
-0.006366568151861429,
0.02738230675458908,
-0.03540652245283127,
-0.03047844022512436,
-0.06435590237379074,
-0.0035045307595282793,
0.003506065346300602,
-0.017627356573939323,
-0.038698710501194,
-0.026658685877919197,
-0.019211631268262863,
0.024658534675836563,
0.02127351239323616,
0.019295742735266685,
-0.018278246745467186,
-0.017822615802288055,
0.006716812960803509,
0.056558649986982346,
-0.055427636951208115,
-0.03893832489848137,
0.006055647972971201,
-0.031871166080236435,
-0.0017700365278869867,
-0.04609761759638786,
0.004200536757707596,
0.02268081344664097,
0.011125903576612473,
0.017566047608852386,
-0.03654828667640686,
0.0307026244699955,
-0.004221197683364153,
-0.018158629536628723,
-0.01545142661780119,
0.012505603022873402,
-0.011518727988004684,
-0.0280296690762043,
0.017024749889969826,
0.052252911031246185,
0.03201495110988617,
0.029836049303412437,
0.013668056577444077,
0.03289603441953659,
0.024392401799559593,
-0.02269664779305458,
-0.029382651671767235,
-0.012521054595708847,
0.05812070146203041,
0.00519935367628932,
-0.015336764045059681,
-0.07144155353307724,
0.02276432141661644,
0.026381539180874825,
-0.01816713996231556,
0.030346158891916275,
-0.0663161352276802,
-0.006418692879378796,
0.028474120423197746,
0.01510032918304205,
0.002511491533368826,
0.00327818444930017,
0.028594598174095154,
-0.08098142594099045,
0.0030716320034116507,
-0.0518488772213459,
0.0031681915279477835,
0.03780053183436394,
-0.0552951917052269,
-0.004201195668429136,
0.05497239530086517,
-0.006427429616451263,
0.04369387403130531,
-0.05207708850502968,
-0.07762401551008224,
0.03173460066318512,
-0.03165704011917114,
-0.0219001155346632,
0.05032775551080704,
-0.04835865646600723,
-0.03364962339401245,
-0.0174948088824749,
-0.05991939455270767,
0.017795447260141373,
0.03001079522073269,
0.019094329327344894,
-0.036930955946445465,
0.0234453734010458,
-0.013767986558377743,
0.05437100678682327,
0.03816230222582817,
0.04848255589604378,
-0.011179737746715546,
0.040047381073236465,
-0.032053884118795395,
0.061410993337631226,
0.04634356126189232,
0.049363233149051666,
-0.0022780122235417366,
0.02777068130671978,
0.0051889498718082905,
-0.029432149603962898,
0.0551985502243042,
-0.008196079172194004,
-0.020118877291679382,
-0.061076365411281586,
0.04128362610936165,
0.032953742891550064,
-0.08970305323600769,
-0.02989877015352249,
0.017963208258152008,
-0.03447243943810463,
0.009958665817975998,
0.011020059697329998,
0.02169916406273842,
0.05193323269486427,
0.0728224441409111,
-0.006811054423451424,
0.04505607858300209,
0.04768679291009903,
0.009922638535499573,
0.009774996899068356,
-0.023146381601691246,
0.08206725120544434,
0.05228915810585022,
0.051406800746917725,
-0.023706814274191856,
0.08257190138101578,
-0.04982665181159973,
-0.05610625818371773,
0.025620361790060997,
-0.008764702826738358,
-0.03169713541865349,
-0.07311684638261795,
0.023583488538861275,
0.09426716715097427,
0.00847590807825327,
0.05581079050898552,
-0.05689850449562073,
-0.020203495398163795,
0.030686499550938606,
0.03425975516438484,
-0.001854814705438912,
-0.0079582454636693,
0.049329932779073715,
0.031033029779791832,
-0.023366667330265045,
-0.005746916402131319,
-0.0132745997980237,
-0.023901550099253654,
0.04818611592054367,
0.013752472586929798,
-0.012859262526035309,
0.00970682967454195,
0.02212931402027607,
0.012431248091161251,
0.0858767032623291,
-0.03907483071088791,
-0.02015344239771366,
-0.008085050620138645,
-0.027655189856886864,
0.003198073012754321,
0.046216048300266266,
0.03376667574048042,
0.011183254420757294,
0.03158404678106308,
-0.029908403754234314,
0.021852554753422737,
0.04937883839011192,
-0.004829023964703083,
0.03744858130812645,
-0.03605995327234268,
0.009558431804180145,
-0.009747088886797428,
0.015654344111680984,
-0.024563224986195564,
-0.03018604964017868,
-0.03929697349667549,
-0.030619027093052864,
-0.03884037956595421,
-0.036313705146312714,
0.039828378707170486,
-0.01882730796933174,
-0.03070923127233982,
0.007212144322693348,
0.006018351297825575,
-0.008697384968400002,
0.0064615048468112946,
-0.06604945659637451,
-0.026139529421925545,
0.0710340216755867,
0.015179459005594254,
0.014771534129977226,
0.01355262752622366,
0.024756204336881638,
-0.013020875863730907,
-0.02734634093940258,
0.018877621740102768,
0.009845511056482792,
0.009108563885092735,
-0.028291119262576103,
0.024204768240451813,
-0.08524402976036072,
0.013268392533063889,
0.027546746656298637,
-0.02086695283651352,
-0.09580215066671371,
0.025478685274720192,
-0.016932908445596695,
0.03929665684700012,
0.05253373086452484,
0.027774402871727943,
0.009814568795263767,
-0.04516955092549324,
-0.014179193414747715,
0.016230491921305656,
-0.009990907274186611,
0.028065834194421768,
-0.052091341465711594,
0.057411156594753265,
0.03527309373021126,
-0.00989601667970419,
-0.04140487313270569,
0.0521179661154747,
0.028034178540110588,
-0.005152091849595308,
-0.01244094967842102,
-0.04637841880321503,
-0.025043634697794914,
-0.12200481444597244,
-0.04357036203145981,
0.0336759127676487,
0.013106157071888447,
-0.01764936000108719,
-0.008146545849740505,
-0.012206362560391426,
-0.014574781060218811,
0.004428132437169552,
-0.026452742516994476,
-0.0009468349744565785,
-0.03660300374031067,
-0.0015865538734942675,
-0.06451559066772461,
0.05084994062781334,
-0.01762634515762329,
0.0019205539720132947,
-0.04040786251425743,
-0.03451046347618103,
0.0029689385555684566,
-0.03038155846297741,
0.02121911011636257,
-0.014684177935123444,
0.00481963949277997,
0.025869308039546013
] |
https://github.com/leekwoon/lomap
|
555 |
Spatial Reasoning with Denoising Models
|
https://openreview.net/forum?id=dWuN4jCQo3
|
[
"Christopher Wewer",
"Bartlomiej Pogodzinski",
"Bernt Schiele",
"Jan Eric Lenssen"
] |
Poster
|
We introduce Spatial Reasoning Models (SRMs), a framework to perform reasoning over sets of continuous variables via denoising generative models. SRMs infer continuous representations on a set of unobserved variables, given observations on observed variables.
Current generative models on spatial domains, such as diffusion and flow matching models, often collapse to hallucination in case of complex distributions. To measure this, we introduce a set of benchmark tasks that test the quality of complex reasoning in generative models and can quantify hallucination. The SRM framework allows to report key findings about importance of sequentialization in generation, the associated order, as well as the sampling strategies during training. It demonstrates, for the first time, that order of generation can successfully be predicted by the denoising network itself. Using these findings, we can increase the accuracy of specific reasoning tasks from <1% to >50%. Our [project website](https://geometric-rl.mpi-inf.mpg.de/srm/) provides additional videos, code, and the benchmark datasets.
|
Generative Models, Reasoning, Image Generation
|
A diffusion-based framework for structured reasoning over continuous spatial variables — enabling flexible sampling strategies w.r.t. amount and order of sequentialization. Introduces a benchmark to measure hallucination.
| 13,053 |
2502.21075
|
[
0.015576855279505253,
0.008168050087988377,
0.011622552759945393,
0.06513728201389313,
0.03679164871573448,
0.033993154764175415,
0.03641336038708687,
0.00764881307259202,
-0.027010945603251457,
-0.04834015667438507,
-0.013128221035003662,
-0.005013787653297186,
-0.061773210763931274,
0.015266140922904015,
-0.010608455166220665,
0.06718449294567108,
0.005870877765119076,
-0.013217981904745102,
0.002474371111020446,
0.027838941663503647,
0.015509890392422676,
-0.030330561101436615,
0.01727263256907463,
-0.0032460996881127357,
0.043216120451688766,
0.007086222991347313,
0.02638356201350689,
0.02315475046634674,
-0.03861456364393234,
-0.016908500343561172,
0.03557492047548294,
-0.011469925753772259,
-0.0019761305302381516,
-0.0325564406812191,
-0.009065044112503529,
-0.004027226474136114,
-0.04580051079392433,
0.0020184728782624006,
0.006324838846921921,
0.012696802616119385,
-0.049056410789489746,
0.014654215425252914,
-0.00019734379020519555,
0.00027435782249085605,
-0.0671156793832779,
0.0006718415534123778,
-0.09694785624742508,
0.037391453981399536,
0.027564411982893944,
-0.019120512530207634,
-0.06920762360095978,
0.049379147589206696,
-0.03456677123904228,
0.020566275343298912,
0.000870252784807235,
0.02789522521197796,
0.05898618325591087,
-0.09830562770366669,
0.011022795923054218,
-0.062177401036024094,
-0.031885355710983276,
0.03585948795080185,
0.004320627544075251,
0.014667820185422897,
-0.002894350327551365,
-0.03425948694348335,
0.0029341268818825483,
0.05790267512202263,
-0.01784503273665905,
-0.02867024578154087,
-0.01888606697320938,
-0.01891457475721836,
0.013858593069016933,
0.010370302945375443,
-0.024221835657954216,
-0.02803664654493332,
0.04581253230571747,
0.018167739734053612,
0.03748789057135582,
-0.025264713913202286,
0.019888922572135925,
-0.0016712751239538193,
0.025083046406507492,
0.02117958851158619,
0.04043317958712578,
0.004002011381089687,
-0.01726732961833477,
-0.022738896310329437,
-0.06847456842660904,
0.019383709877729416,
-0.019261769950389862,
-0.027140799909830093,
0.007698476780205965,
0.038828685879707336,
0.02994874119758606,
0.007196363527327776,
0.020501086488366127,
0.013516655191779137,
0.016507795080542564,
-0.006528354715555906,
0.007450772915035486,
-0.009805483743548393,
0.02785339578986168,
0.006758818402886391,
-0.11171433329582214,
-0.03484724089503288,
-0.023163367062807083,
-0.02846081741154194,
-0.02050682157278061,
0.015371819958090782,
-0.013679001480340958,
0.02845400758087635,
0.020909111946821213,
-0.018466519191861153,
-0.05904829874634743,
0.022295165807008743,
0.015482338145375252,
0.011073864996433258,
0.02588682621717453,
0.04266888275742531,
0.06823809444904327,
0.04179155081510544,
-0.002580000553280115,
0.06626895815134048,
-0.04166889190673828,
0.010362420231103897,
0.006515700835734606,
0.011166202835738659,
-0.025194477289915085,
-0.031136687844991684,
-0.004478406626731157,
0.01779535599052906,
0.008388545364141464,
-0.004748228471726179,
0.013379508629441261,
-0.04007355123758316,
0.02246244065463543,
-0.006955801509320736,
0.02934621274471283,
-0.007731110323220491,
0.005938946735113859,
-0.014571025967597961,
0.07779712229967117,
-0.016098394989967346,
0.09175562113523483,
-0.025016875937581062,
-0.011070657521486282,
-0.030588261783123016,
-0.03007945604622364,
0.011836321093142033,
0.020268309861421585,
0.02641432359814644,
0.02137124352157116,
-0.0718141496181488,
0.015496174804866314,
0.06797541677951813,
0.008120298385620117,
0.03070061281323433,
0.027817312628030777,
-0.007906230166554451,
0.006878165062516928,
0.022895777598023415,
-0.01486180629581213,
0.032150838524103165,
-0.02572888880968094,
-0.05334606394171715,
0.025667553767561913,
0.019919397309422493,
-0.048585373908281326,
-0.012986387126147747,
-0.04261113703250885,
-0.06464017927646637,
0.060985714197158813,
-0.011130538769066334,
-0.021946286782622337,
-0.009420555084943771,
0.042736172676086426,
0.009419136680662632,
0.063080795109272,
0.018338065594434738,
-0.07116518169641495,
-0.002820726949721575,
-0.009715709835290909,
-0.023211872205138206,
0.02408631518483162,
-0.041824404150247574,
0.078087717294693,
-0.019799334928393364,
-0.011192449368536472,
0.024617642164230347,
-0.06974885612726212,
-0.02102648839354515,
0.02124573290348053,
-0.009212152101099491,
0.05889987200498581,
0.021482840180397034,
-0.008243183605372906,
0.04349930211901665,
0.03354668617248535,
0.05125968158245087,
0.05050979554653168,
-0.02886217087507248,
0.06833650171756744,
-0.0026295280549675226,
-0.0341603048145771,
0.0019631204195320606,
0.041959162801504135,
-0.04486874118447304,
-0.030068008229136467,
0.03826577961444855,
-0.016776230186223984,
-0.009017093107104301,
-0.010463317856192589,
-0.010524756275117397,
0.020905831828713417,
0.007925187237560749,
-0.02177559584379196,
0.020139284431934357,
0.004346540197730064,
-0.040349286049604416,
0.037131499499082565,
0.008004690520465374,
-0.022787800058722496,
0.006136509124189615,
-0.03844108060002327,
0.09755855053663254,
0.07695426791906357,
-0.0248520839959383,
-0.016613556072115898,
0.013263534754514694,
-0.013049986213445663,
0.059666406363248825,
0.01693475805222988,
-0.02879510447382927,
-0.002399388002231717,
-0.007365679834038019,
0.03872229903936386,
-0.01408865675330162,
0.0406719371676445,
-0.06391029804944992,
-0.013412011787295341,
0.05208020284771919,
-0.00013094348832964897,
0.05377429723739624,
0.0007271983195096254,
0.013302900828421116,
0.040928568691015244,
-0.007768367417156696,
-0.019619394093751907,
-0.007307504303753376,
-0.007464160677045584,
0.0004165364953223616,
0.010344482958316803,
-0.006513569038361311,
0.00952809490263462,
-0.059037622064352036,
0.0002772015577647835,
-0.011352207511663437,
0.08130045980215073,
0.04741764813661575,
0.021006997674703598,
0.01084720715880394,
0.011792943812906742,
-0.0449465811252594,
-0.03226736560463905,
-0.09889590740203857,
-0.02870405651628971,
-0.02163059636950493,
0.05141489580273628,
0.011493577621877193,
0.043661829084157944,
-0.004744051489979029,
0.031107518821954727,
-0.005424897652119398,
-0.029079187661409378,
-0.006942693144083023,
-0.013322641141712666,
0.003897742135450244,
-0.029093988239765167,
-0.00008843348769005388,
0.01831938698887825,
0.06616675108671188,
-0.014165925793349743,
0.00551932817324996,
-0.028468521311879158,
-0.04323669523000717,
-0.014496789313852787,
-0.014741191640496254,
-0.011574630625545979,
0.01828864775598049,
0.022627251222729683,
0.010350736789405346,
-0.018004219979047775,
0.024762241169810295,
0.04085535556077957,
0.071656733751297,
0.037169404327869415,
-0.03578051179647446,
-0.002827413147315383,
-0.0007097844500094652,
-0.03599219769239426,
0.008844033814966679,
-0.008117449469864368,
0.0059598577208817005,
-0.02602175995707512,
0.013272598385810852,
0.0007644036668352783,
0.003944820258766413,
-0.2594655752182007,
0.016051186248660088,
0.025607507675886154,
-0.009992202743887901,
0.041812002658843994,
-0.011721968650817871,
0.07382428646087646,
-0.05032344162464142,
-0.036193519830703735,
0.016813283786177635,
0.024480193853378296,
0.010298044420778751,
-0.006227793637663126,
0.05774737149477005,
0.06067901849746704,
-0.00036601079045794904,
-0.02200080268085003,
-0.03447839990258217,
0.03890842944383621,
0.019167238846421242,
0.00234978343360126,
-0.06440042704343796,
-0.028819633647799492,
0.02756117843091488,
-0.006314866244792938,
0.05103500187397003,
-0.07251141220331192,
-0.012113867327570915,
-0.03981158882379532,
-0.025127939879894257,
-0.007325388956815004,
-0.04238416254520416,
-0.025376904755830765,
0.04416801035404205,
-0.026245564222335815,
0.026260584592819214,
0.05181538313627243,
0.0025601419620215893,
0.017765527591109276,
0.017131231725215912,
0.018010985106229782,
0.0056707775220274925,
-0.02746616303920746,
0.018366437405347824,
0.05737581476569176,
-0.017693189904093742,
-0.0603446364402771,
-0.006749647669494152,
-0.010265983641147614,
0.007872452028095722,
-0.006298964377492666,
-0.007342988159507513,
-0.007553928531706333,
-0.007342996075749397,
-0.0444486178457737,
-0.04715057089924812,
0.0027641686610877514,
-0.003778752638027072,
-0.013422722928225994,
-0.003209120826795697,
0.03849940747022629,
-0.04176371917128563,
-0.027777181938290596,
-0.02970721200108528,
0.0012809595791622996,
-0.02439030073583126,
-0.080018050968647,
-0.047812238335609436,
0.04497724771499634,
0.02563456818461418,
-0.00375822139903903,
0.016437038779258728,
-0.016520027071237564,
-0.10386376082897186,
0.000527797092217952,
-0.002908889902755618,
-0.03315143287181854,
-0.04521306976675987,
-0.005628776270896196,
0.03858647122979164,
-0.017500584945082664,
-0.04005301371216774,
-0.0039458610117435455,
0.025556927546858788,
-0.004295679274946451,
0.007705728989094496,
0.039698660373687744,
-0.04035563766956329,
-0.033274393528699875,
-0.020523980259895325,
0.04999415576457977,
0.0008939338731579483,
0.045907437801361084,
0.004528216551989317,
0.04584356024861336,
0.06798719614744186,
0.04735598713159561,
0.057506013661623,
0.050942059606313705,
-0.013673320412635803,
0.022833630442619324,
-0.07310659438371658,
0.009204351343214512,
-0.015773078426718712,
-0.03578953817486763,
0.010922023095190525,
-0.03059454634785652,
0.0025602085515856743,
0.015726624056696892,
-0.00214380887337029,
-0.04980801045894623,
0.005768910516053438,
0.01803983375430107,
-0.0023211799561977386,
-0.007435902487486601,
-0.017140068113803864,
-0.020108550786972046,
0.01936347782611847,
0.04115668311715126,
-0.02034175954759121,
-0.028639229014515877,
0.03229996934533119,
-0.04726039990782738,
0.02675621211528778,
0.004638611804693937,
0.01149164978414774,
-0.013151364400982857,
-0.006709828972816467,
0.0025629012379795313,
0.01073585357517004,
0.047688331454992294,
0.04147142916917801,
0.009980249218642712,
0.047945987433195114,
0.06252284348011017,
-0.020416829735040665,
-0.013516627252101898,
-0.004825040232390165,
0.03862173855304718,
0.0007899452466517687,
0.024471340700984,
-0.037518251687288284,
0.040590669959783554,
0.03995240479707718,
0.004634300712496042,
-0.005828288849443197,
0.0025865735951811075,
0.02112645097076893,
0.009502239525318146,
-0.034152861684560776,
0.05014820769429207,
-0.047424208372831345,
-0.013815364800393581,
-0.03269733861088753,
0.012509042397141457,
-0.01793406344950199,
0.018263572826981544,
-0.046062808483839035,
0.009944950230419636,
-0.07290220260620117,
0.07294301688671112,
0.036691296845674515,
-0.06431595236063004,
-0.003744985908269882,
-0.029893536120653152,
0.060996536165475845,
-0.0068515329621732235,
-0.0045352051965892315,
0.01820509508252144,
-0.009551902301609516,
0.02359040081501007,
-0.0564846433699131,
-0.01570139452815056,
-0.022702811285853386,
-0.021155061200261116,
0.04460956156253815,
0.001150614582002163,
-0.009347512386739254,
-0.04504609480500221,
0.028008395805954933,
0.02768530510365963,
-0.017735477536916733,
0.006113443989306688,
0.0013182893162593246,
0.06744111329317093,
0.026622550562024117,
0.008839371614158154,
-0.024418551474809647,
-0.03021196834743023,
0.03489476069808006,
-0.025380684062838554,
0.032414041459560394,
-0.045569196343421936,
-0.03347050026059151,
-0.04640104994177818,
-0.05761824920773506,
0.0006808440666645765,
0.02128242328763008,
-0.05677122250199318,
-0.014700735919177532,
0.002407672582194209,
-0.006022891961038113,
-0.039184458553791046,
0.004976866766810417,
0.04477422311902046,
-0.0778391882777214,
0.019304566085338593,
0.05945431813597679,
-0.0333130918443203,
0.0041560521349310875,
-0.0632571130990982,
-0.027996063232421875,
-0.054802004247903824,
-0.052556756883859634,
0.020192831754684448,
-0.008901776745915413,
0.004815076943486929,
-0.026064155623316765,
-0.006680322345346212,
0.009499946609139442,
0.01125521119683981,
0.004283372312784195,
0.013337787240743637,
-0.021656807512044907,
-0.01591181755065918,
0.04189706966280937,
-0.043911226093769073,
-0.02118752710521221,
0.004848212003707886,
-0.053214263170957565,
0.006351148243993521,
-0.021478328853845596,
0.012950546108186245,
0.051613397896289825,
-0.007470425684005022,
-0.017065223306417465,
-0.015199242159724236,
0.04680315777659416,
-0.003932042513042688,
0.004514841828495264,
0.021908117458224297,
-0.016200551763176918,
-0.031313151121139526,
0.015267948620021343,
0.028943324461579323,
0.023332973942160606,
-0.0002810477453749627,
0.01572391204535961,
0.0275871679186821,
0.010990386828780174,
0.018841102719306946,
-0.008000917732715607,
-0.04235798120498657,
-0.021805109456181526,
0.05318976566195488,
-0.021166473627090454,
-0.008020074106752872,
-0.08905462175607681,
-0.01945354789495468,
0.006149526685476303,
-0.04143086448311806,
0.025295449420809746,
-0.014463573694229126,
0.023238280788064003,
0.012211928144097328,
-0.002773843239992857,
0.02219529077410698,
-0.002640824532136321,
0.04142143204808235,
-0.05048029124736786,
0.03567124903202057,
-0.059136100113391876,
-0.020624998956918716,
0.04956311360001564,
-0.04641473665833473,
-0.010163667611777782,
-0.00118661904707551,
-0.03334139660000801,
0.05037315934896469,
-0.05511447787284851,
-0.05518700182437897,
0.007212608586996794,
-0.021457072347402573,
-0.024132512509822845,
0.015547450631856918,
-0.03284904360771179,
-0.004228744190186262,
0.004225306212902069,
-0.0662471130490303,
0.011216551065444946,
-0.00044036866165697575,
0.039364319294691086,
-0.020197970792651176,
0.015217257663607597,
-0.001975666731595993,
0.022937914356589317,
0.015443194657564163,
0.08734345436096191,
0.03181877359747887,
0.017636561766266823,
-0.026556426659226418,
0.06645819544792175,
0.030276106670498848,
0.015707306563854218,
0.02334236167371273,
-0.0025338151026517153,
0.011844194494187832,
-0.06316819041967392,
0.042077697813510895,
0.011901969090104103,
-0.008731763809919357,
-0.07690131664276123,
0.07301708310842514,
0.0262213796377182,
-0.061919234693050385,
-0.00857040286064148,
0.02947809360921383,
-0.05036570876836777,
0.011523224413394928,
-0.0033711898140609264,
-0.02048373781144619,
0.012788690626621246,
0.05241820216178894,
-0.00044410856207832694,
0.042980488389730453,
0.05854586511850357,
0.017314162105321884,
-0.015288163907825947,
0.012581064365804195,
0.05341325327754021,
0.055234648287296295,
0.029247721657156944,
-0.016955405473709106,
0.07612461596727371,
-0.029841959476470947,
-0.024228736758232117,
0.03627070039510727,
0.011755375191569328,
-0.020950045436620712,
-0.07875008881092072,
0.03236588090658188,
0.10791640728712082,
-0.01207665540277958,
0.07414509356021881,
-0.049856722354888916,
-0.0191638320684433,
0.05185751989483833,
0.010292557999491692,
0.004142033401876688,
0.03933136910200119,
0.04395986348390579,
0.0006645657704211771,
-0.0443631112575531,
0.004963302053511143,
-0.01605335995554924,
-0.005645832512527704,
-0.005356865003705025,
0.007289552129805088,
-0.011621452867984772,
0.02115768939256668,
0.027247318997979164,
0.03311318904161453,
0.10275128483772278,
-0.034693509340286255,
-0.04621845856308937,
0.01283116452395916,
0.03261430934071541,
0.007695015985518694,
0.0359826423227787,
-0.01096848864108324,
-0.028954731300473213,
0.01714673824608326,
-0.04516543075442314,
0.02209433726966381,
0.01763349026441574,
-0.017236975952982903,
-0.015565172769129276,
-0.03500719368457794,
-0.05032411590218544,
0.012217754498124123,
0.016017751768231392,
-0.05781315267086029,
-0.06504646688699722,
-0.0361609011888504,
-0.0473666675388813,
-0.05243620648980141,
-0.043313104659318924,
0.024340795353055,
-0.03073132410645485,
-0.04142582416534424,
-0.0035430898424237967,
-0.04524103179574013,
0.009395074099302292,
0.028984708711504936,
-0.05713416263461113,
-0.016785725951194763,
0.061071258038282394,
0.0002145465841749683,
-0.0010083341039717197,
0.02794644422829151,
0.01796908676624298,
-0.03141172602772713,
-0.008376567624509335,
0.04026828333735466,
-0.003347414545714855,
0.016831738874316216,
-0.007185423746705055,
-0.03891512379050255,
-0.10797993093729019,
0.01535717025399208,
-0.006927200127393007,
-0.02380271628499031,
-0.0867619439959526,
0.005794592667371035,
-0.0353325679898262,
0.014449731446802616,
0.0695425495505333,
0.017667068168520927,
0.028433112427592278,
-0.03560909256339073,
0.011346966028213501,
0.004088299348950386,
0.014441174454987049,
0.04990721866488457,
-0.04047425091266632,
0.05052372068166733,
0.06242462247610092,
-0.04019086807966232,
-0.005324230995029211,
0.018989216536283493,
-0.02789103239774704,
0.015221537090837955,
-0.023078395053744316,
-0.04597492516040802,
-0.032755978405475616,
-0.1409083902835846,
-0.03243310749530792,
0.008977028541266918,
-0.021434728056192398,
-0.039572104811668396,
-0.01553418394178152,
-0.03404943272471428,
-0.02676723711192608,
-0.022217273712158203,
-0.022624511271715164,
0.019689125940203667,
-0.05181989446282387,
-0.03253713250160217,
-0.07218307256698608,
0.024928245693445206,
-0.00549837714061141,
0.021427476778626442,
-0.017954349517822266,
-0.036398135125637054,
-0.015014621429145336,
0.006760135758668184,
0.043219614773988724,
0.022169772535562515,
0.03561241924762726,
-0.03605274856090546
] |
https://github.com/Chrixtar/SRM
|
556 |
TruthFlow: Truthful LLM Generation via Representation Flow Correction
|
https://openreview.net/forum?id=7TDnfx5s14
|
[
"Hanyu Wang",
"Bochuan Cao",
"Yuanpu Cao",
"Jinghui Chen"
] |
Poster
|
Large language models (LLMs) are known to struggle with consistently generating truthful responses. While various representation intervention techniques have been proposed, these methods typically apply a universal representation correction vector to all input queries, limiting their effectiveness against diverse queries in practice. In this study, we introduce TruthFlow, a novel method that leverages the Flow Matching technique for query-specific truthful representation correction. Specifically, TruthFlow first uses a flow model to learn query-specific correction vectors that transition representations from hallucinated to truthful states. Then, during inference, the trained flow model generates these correction vectors to enhance the truthfulness of LLM outputs. Experimental results demonstrate that TruthFlow significantly improves performance on open-ended generation tasks across various advanced LLMs evaluated on TruthfulQA. Moreover, the trained TruthFlow model exhibits strong transferability, performing effectively on other unseen hallucination benchmarks.
|
Large Language Models, Hallucination, Representation Intervention, Flow Matching
| null | 13,040 |
2502.04556
|
[
-0.011050653643906116,
-0.014172915369272232,
-0.009642297402024269,
0.04822291433811188,
0.05332416668534279,
0.043045975267887115,
0.04203805699944496,
0.02277713268995285,
-0.0424426905810833,
-0.011417442932724953,
-0.03298121318221092,
0.017491064965724945,
-0.06529916822910309,
-0.003316437127068639,
-0.001701223198324442,
0.04580379277467728,
0.042589254677295685,
-0.020611288025975227,
0.06842229515314102,
0.027674373239278793,
-0.0001499569625593722,
-0.015518656931817532,
0.02393200993537903,
-0.009394271299242973,
0.04341877996921539,
0.006250872742384672,
0.009815999306738377,
-0.01582524925470352,
-0.050030842423439026,
-0.01662539504468441,
0.039721306413412094,
-0.02396748773753643,
0.01717006228864193,
-0.008622298948466778,
-0.0031750660855323076,
-0.015433167107403278,
-0.05506148189306259,
0.03232378885149956,
0.009679981507360935,
0.022454259917140007,
-0.04602106288075447,
0.006849328055977821,
-0.014065190218389034,
-0.003028260078281164,
-0.031178873032331467,
-0.021864276379346848,
-0.10675349086523056,
0.01965954713523388,
-0.0230376236140728,
-0.029643425717949867,
-0.09056373685598373,
0.0368676520884037,
-0.007079437840729952,
0.007733949460089207,
0.028977103531360626,
0.022825224325060844,
0.04505588486790657,
-0.10715831816196442,
-0.018561573699116707,
-0.025313884019851685,
-0.02390623278915882,
-0.00954855140298605,
0.0006869514472782612,
0.009372268803417683,
0.002030935836955905,
-0.04405565932393074,
-0.026019053533673286,
0.030559180304408073,
-0.04140491038560867,
-0.024720555171370506,
-0.021080413833260536,
0.05759575590491295,
0.0026431225705891848,
0.004453865811228752,
0.021341226994991302,
-0.04183565080165863,
0.01496833935379982,
0.036861199885606766,
0.05307601019740105,
-0.0015974638517946005,
0.015397617593407631,
0.019443340599536896,
0.051665183156728745,
0.053128767758607864,
0.042469557374715805,
-0.003366488963365555,
-0.011323153041303158,
-0.022158725187182426,
-0.03875085338950157,
0.017300888895988464,
-0.024621156975626945,
-0.05650996044278145,
-0.005229637958109379,
0.017760325223207474,
0.03751235082745552,
0.0023604666348546743,
0.028774654492735863,
0.03418145701289177,
0.007059626281261444,
0.009617269970476627,
-0.04798184707760811,
-0.035458460450172424,
0.009693869389593601,
0.02847682684659958,
-0.10003162920475006,
0.013301262632012367,
-0.03141869977116585,
-0.02260182797908783,
0.016559498384594917,
0.014844751916825771,
-0.050298284739255905,
0.007698485627770424,
0.043887797743082047,
-0.030741432681679726,
-0.0898578017950058,
0.015559647232294083,
0.004354008007794619,
0.008111839182674885,
-0.0201480183750391,
0.03902529552578926,
0.04419587552547455,
0.03973547741770744,
0.01828916184604168,
0.05638337880373001,
-0.02512303926050663,
-0.006472100503742695,
-0.009577813558280468,
0.021697577089071274,
-0.020834308117628098,
-0.037918880581855774,
0.007729825563728809,
0.04473749175667763,
0.01082459557801485,
0.012084693647921085,
0.002676428761333227,
-0.005918294191360474,
0.04049411416053772,
0.012370996177196503,
0.044173650443553925,
-0.00018539121083449572,
-0.007842850871384144,
-0.010390307754278183,
0.0360407754778862,
-0.026635754853487015,
0.10184155404567719,
-0.005851986818015575,
-0.05908361077308655,
-0.003772089257836342,
-0.043584756553173065,
0.022326231002807617,
0.01212297659367323,
0.04381837695837021,
0.00616336427628994,
-0.08018487691879272,
0.03959101811051369,
0.07124754041433334,
-0.0031600992660969496,
-0.0034055898431688547,
0.00013948662672191858,
-0.016499096527695656,
0.00903316494077444,
0.04301438480615616,
-0.05011245980858803,
-0.0030834167264401913,
-0.02154327742755413,
-0.04757780581712723,
-0.01045828778296709,
-0.0029939671512693167,
-0.059752192348241806,
-0.0022128222044557333,
-0.02495913952589035,
-0.0257565900683403,
0.06775841861963272,
-0.02485492452979088,
-0.03547269105911255,
0.01228942722082138,
0.06381382793188095,
0.0032241581939160824,
0.021569589152932167,
0.043598804622888565,
-0.06922639161348343,
0.03954894095659256,
0.0002582151209935546,
-0.017639553174376488,
0.011343853548169136,
-0.012554205022752285,
0.06967276334762573,
-0.005348203703761101,
0.007689722813665867,
0.018588759005069733,
-0.06125843524932861,
-0.0005106467287987471,
-0.005241457372903824,
0.006848667282611132,
0.06065277010202408,
0.006980378646403551,
-0.008643326349556446,
0.0558348223567009,
0.008829843252897263,
0.04320098087191582,
0.05929282680153847,
-0.0010964871617034078,
0.02653101459145546,
-0.038010936230421066,
-0.043787211179733276,
-0.00705981208011508,
0.05692101642489433,
-0.04683038964867592,
-0.03808920830488205,
0.04149318486452103,
-0.029767634347081184,
0.0025771858636289835,
0.017621660605072975,
0.019168509170413017,
-0.006910428404808044,
-0.006032634060829878,
-0.0228938776999712,
0.004646011162549257,
0.014569382183253765,
-0.03782378137111664,
0.07483360171318054,
0.042252812534570694,
-0.017279168590903282,
-0.002686665626242757,
-0.034983593970537186,
0.1098087728023529,
0.04981718584895134,
-0.01765643060207367,
-0.035567574203014374,
-0.004507589619606733,
0.025935720652341843,
-0.030362572520971298,
0.0009963387856259942,
-0.05893263220787048,
0.00788246002048254,
-0.022076452150940895,
0.02321515791118145,
-0.014505976811051369,
0.0652744248509407,
-0.029898419976234436,
-0.0042932890355587006,
0.05181896314024925,
-0.02404162660241127,
0.05262521654367447,
0.0007477537146769464,
0.021331332623958588,
0.024670979008078575,
-0.004558139480650425,
0.008897807449102402,
-0.009602249599993229,
-0.009416135028004646,
-0.014422919601202011,
0.01573537290096283,
-0.04128245264291763,
0.007998282089829445,
-0.03763366490602493,
-0.038975730538368225,
-0.007306640036404133,
0.036246199160814285,
0.07644572108983994,
0.009156137704849243,
0.020181385800242424,
0.012214314192533493,
-0.060555122792720795,
-0.00464215874671936,
-0.08034578710794449,
-0.017326030880212784,
-0.018620546907186508,
0.029491055756807327,
-0.028874913230538368,
0.03597110137343407,
-0.004480833187699318,
0.01896957866847515,
-0.05695958435535431,
-0.013804811984300613,
0.004120680969208479,
0.03961043059825897,
0.013738570734858513,
-0.043023232370615005,
-0.017180122435092926,
-0.015514157712459564,
0.05366096273064613,
-0.03784234821796417,
0.005944589618593454,
-0.040160469710826874,
-0.03739412873983383,
-0.0069764102809131145,
-0.013863963074982166,
0.004570588003844023,
0.023473825305700302,
0.009061827324330807,
0.00834730826318264,
0.012893779203295708,
-0.0055658831261098385,
0.030390487983822823,
0.05208534747362137,
0.05742578208446503,
0.012887158431112766,
-0.04309022054076195,
0.07748095691204071,
0.017399391159415245,
-0.002749660285189748,
0.006418442819267511,
0.017667165026068687,
-0.0021537987049669027,
-0.008013206534087658,
0.027846703305840492,
0.0006595573504455388,
-0.2800128161907196,
-0.009228539653122425,
-0.01608327031135559,
-0.011974192224442959,
0.020789964124560356,
0.011684630997478962,
0.02091635763645172,
-0.020288875326514244,
-0.014923966489732265,
-0.0022994077298790216,
0.007344281300902367,
0.024447139352560043,
-0.02897355519235134,
0.043010931462049484,
0.056241896003484726,
0.018720829859375954,
-0.00509643042460084,
-0.02223641611635685,
0.03764837607741356,
0.011985234916210175,
-0.0016362426104024053,
-0.04137497767806053,
-0.028355980291962624,
0.049590714275836945,
0.004756866488605738,
0.03131471946835518,
-0.07205493748188019,
-0.001998584484681487,
-0.0389736071228981,
-0.010574385523796082,
0.008697239682078362,
0.01268310472369194,
-0.023325523361563683,
0.03498091176152229,
-0.0199351217597723,
-0.006574870552867651,
0.032969072461128235,
0.01078986655920744,
0.031701017171144485,
0.004260288551449776,
0.015814298763871193,
-0.035046204924583435,
-0.027322379872202873,
-0.007690345402806997,
0.0738094225525856,
-0.00044225426972843707,
-0.07493632286787033,
-0.004810134414583445,
-0.01033723447471857,
0.021845147013664246,
-0.03697744384407997,
-0.04418254271149635,
-0.02657097578048706,
0.024574484676122665,
0.003133039455860853,
-0.01474554743617773,
0.00009882324957288802,
-0.017778689041733742,
0.006084407679736614,
-0.004837869666516781,
0.007169777061790228,
-0.03628019616007805,
-0.02394646592438221,
-0.0010754114482551813,
-0.03649585694074631,
-0.018193192780017853,
-0.04612387716770172,
-0.038886792957782745,
0.036408718675374985,
0.06339117884635925,
-0.0289676021784544,
0.04364656284451485,
-0.018852930516004562,
-0.08319572359323502,
0.01656579226255417,
-0.00625381525605917,
-0.02650860697031021,
0.0029095725622028112,
-0.027729863300919533,
0.03206399455666542,
-0.033310048282146454,
-0.04078465327620506,
-0.024270273745059967,
0.007006772328168154,
0.027174055576324463,
-0.037828728556632996,
0.01627538539469242,
-0.03193537890911102,
-0.04528595879673958,
-0.023536842316389084,
0.05348500236868858,
-0.02379600889980793,
0.0014706254005432129,
0.011444181203842163,
0.05943317711353302,
0.02312145195901394,
0.037409063428640366,
0.05282406508922577,
0.013444741256535053,
0.02099062316119671,
0.005732603371143341,
-0.04449839890003204,
-0.024929964914917946,
-0.039810314774513245,
0.001456903642974794,
0.047824565321207047,
-0.03798510879278183,
-0.025402620434761047,
0.03292897716164589,
-0.010864599607884884,
-0.05151766911149025,
-0.005077529698610306,
0.032255034893751144,
0.002013467252254486,
-0.01692875288426876,
-0.019771261140704155,
0.015911540016531944,
0.01987265795469284,
0.03350364416837692,
-0.03687566891312599,
-0.03277730196714401,
0.03865908458828926,
-0.015988903120160103,
0.022843137383461,
-0.017702901735901833,
-0.01792997494339943,
0.0013319678837433457,
0.00829629972577095,
0.015604953281581402,
-0.009958192706108093,
0.025711243972182274,
0.012350985780358315,
-0.007945703342556953,
0.011383416131138802,
0.07286066561937332,
-0.02648603916168213,
0.015236765146255493,
0.005356470588594675,
0.01763087697327137,
0.007130090147256851,
0.028688188642263412,
-0.028691496700048447,
0.03803141787648201,
0.04039977118372917,
0.050747305154800415,
0.003133408259600401,
0.011637258343398571,
-0.010863753966987133,
-0.03433315455913544,
0.024878617376089096,
0.044325511902570724,
-0.07456106692552567,
-0.0018541801255196333,
-0.03653596341609955,
0.043078891932964325,
0.0077813733369112015,
0.03399205952882767,
0.00573631701990962,
0.017671968787908554,
-0.051817264407873154,
0.033791251480579376,
0.014913822524249554,
-0.009227852337062359,
0.02574523352086544,
0.01501469686627388,
0.02948901243507862,
-0.019709056243300438,
0.0013015607837587595,
0.02364540845155716,
0.017014313489198685,
-0.00503110745921731,
-0.035306282341480255,
-0.007202658802270889,
0.012559402734041214,
-0.0076888613402843475,
0.017252767458558083,
0.010172576643526554,
0.002210391918197274,
-0.0009075719281099737,
0.044815145432949066,
-0.012892189435660839,
-0.01337535958737135,
0.011740883812308311,
0.0014108088798820972,
0.07775454968214035,
-0.00393828796222806,
0.014817506074905396,
-0.011709027923643589,
-0.025124574080109596,
0.04028307646512985,
-0.0009653620072640479,
0.022124111652374268,
-0.01793515495955944,
-0.03599635139107704,
-0.04498310759663582,
-0.09314008057117462,
0.017263073474168777,
0.003617775160819292,
0.006820758804678917,
-0.034222885966300964,
-0.00823491346091032,
-0.007377066183835268,
-0.036639343947172165,
-0.044601406902074814,
0.014015672728419304,
-0.09789758175611496,
-0.017811033874750137,
0.019403645768761635,
-0.01850184053182602,
0.03965616226196289,
-0.025537127628922462,
-0.023120684549212456,
-0.06992535293102264,
-0.016637155786156654,
0.013762563467025757,
-0.03967858850955963,
-0.025162145495414734,
-0.035014789551496506,
0.008299343287944794,
-0.023037150502204895,
0.026656998321413994,
-0.02177077904343605,
0.0033903575967997313,
0.0030690596904605627,
0.010344072245061398,
0.044246017932891846,
-0.027673546224832535,
-0.014370698481798172,
0.0017359162447974086,
-0.028060832992196083,
0.019412757828831673,
-0.05348856747150421,
0.04265350103378296,
0.040400028228759766,
-0.017422229051589966,
0.00930368434637785,
-0.06193851679563522,
0.033125340938568115,
-0.0012315245112404227,
0.017191266641020775,
0.011723106727004051,
-0.02920202724635601,
-0.014597419649362564,
0.015037543140351772,
0.023214617744088173,
0.02633252553641796,
-0.022706255316734314,
0.010150383226573467,
0.00021178583847358823,
0.028663598001003265,
0.013708890415728092,
0.019255636259913445,
-0.03178048133850098,
-0.025664469227194786,
0.04907495900988579,
-0.035725802183151245,
-0.012070975266397,
-0.09409301728010178,
-0.05694739148020744,
-0.015428408049046993,
-0.004376831464469433,
0.039024848490953445,
-0.0762752816081047,
0.043872684240341187,
0.02207353338599205,
0.0176836047321558,
0.005830157082527876,
-0.03309442475438118,
0.019032230600714684,
-0.043006669729948044,
0.011080242693424225,
-0.07741845399141312,
-0.042433734983205795,
0.0632171705365181,
-0.009814727120101452,
-0.004142330959439278,
-0.00465424032881856,
-0.03315817937254906,
0.014385251328349113,
-0.012776494957506657,
-0.029715029522776604,
0.046441275626420975,
-0.022411560639739037,
-0.006129613611847162,
0.07522318512201309,
-0.03592148795723915,
-0.004547726828604937,
0.010472061112523079,
-0.025756604969501495,
-0.019614344462752342,
-0.018503360450267792,
0.05342517048120499,
-0.015447115525603294,
0.0038263341411948204,
-0.03209102526307106,
-0.01794157549738884,
0.03381943330168724,
0.07950552552938461,
0.02496315911412239,
0.015011091716587543,
0.0009407203178852797,
0.059901513159275055,
0.053592801094055176,
0.0006784326978959143,
0.03856850415468216,
0.03721599653363228,
-0.015493174083530903,
-0.06508367508649826,
0.06534291058778763,
0.008394655771553516,
0.02512296661734581,
-0.034103669226169586,
0.07973219454288483,
0.028407979756593704,
-0.03206681087613106,
-0.023130713030695915,
0.012163848616182804,
-0.025746174156665802,
0.001141039771027863,
-0.024458732455968857,
0.004540915600955486,
-0.03817461058497429,
0.0686892569065094,
0.003825485473498702,
0.02894110232591629,
0.07644440233707428,
0.010679102502763271,
-0.021285975351929665,
-0.003332470776513219,
0.06632029265165329,
0.05423947796225548,
0.029734864830970764,
-0.02862805873155594,
0.06901924312114716,
-0.029998784884810448,
-0.050315286964178085,
0.0015867614420130849,
0.024444691836833954,
-0.018445705994963646,
-0.03245389461517334,
0.0014585626777261496,
0.08680622279644012,
0.0008397666970267892,
0.07712570577859879,
-0.03182332590222359,
0.0070527950301766396,
0.03819936141371727,
0.04760361835360527,
0.011975569650530815,
0.0590214729309082,
0.015332493931055069,
-0.021160826086997986,
-0.018951285630464554,
-0.022611012682318687,
0.009786627255380154,
-0.0012416694080457091,
0.018485713750123978,
0.011408408172428608,
-0.030279727652668953,
0.016248449683189392,
-0.05526796728372574,
0.048212308436632156,
0.12356456369161606,
-0.03587769716978073,
-0.0446186326444149,
0.0047545526176691055,
0.0030410904437303543,
0.020859789103269577,
0.019211022183299065,
0.001236411859281361,
-0.05882333219051361,
0.017565317451953888,
-0.0541420616209507,
-0.004016774706542492,
0.014505286701023579,
-0.014500575140118599,
-0.002229491015896201,
-0.04695584252476692,
-0.06346926093101501,
0.010719917714595795,
0.028717990964651108,
-0.053937166929244995,
-0.062298618257045746,
-0.026169301941990852,
-0.04126857593655586,
-0.04643529653549194,
-0.049382083117961884,
-0.005017188843339682,
-0.013352288864552975,
-0.05063536763191223,
-0.0000032073223792394856,
-0.05930505692958832,
-0.0162969883531332,
0.0165709275752306,
-0.07671009749174118,
0.024447569623589516,
0.07507504522800446,
0.01711362600326538,
-0.0562187097966671,
0.034151699393987656,
0.023386558517813683,
-0.029739849269390106,
-0.0062581817619502544,
0.01897262968122959,
0.004118146374821663,
0.030255168676376343,
-0.008837280794978142,
-0.014698063023388386,
-0.1106097400188446,
0.01163837593048811,
0.004421302583068609,
-0.0062275598756968975,
-0.08644454926252365,
0.013496564701199532,
-0.02899685502052307,
0.02598228119313717,
0.06325656175613403,
0.030645068734884262,
0.0458882637321949,
-0.007212661672383547,
-0.019451798871159554,
0.03119680844247341,
0.01146220974624157,
0.06356026977300644,
-0.03639586269855499,
0.048152875155210495,
0.03854523226618767,
-0.022192569449543953,
-0.0466829389333725,
0.022604839876294136,
-0.010462724603712559,
-0.06058168783783913,
-0.025812983512878418,
-0.06218578666448593,
-0.02307111583650112,
-0.07683418691158295,
-0.02220228500664234,
0.01613534428179264,
0.011906892992556095,
-0.02896224334836006,
-0.010495487600564957,
0.0014781546778976917,
-0.048724595457315445,
-0.02293826825916767,
-0.001476858975365758,
0.005270106252282858,
-0.012612858787178993,
-0.04830055311322212,
-0.06365931779146194,
0.008333149366080761,
0.003875212511047721,
-0.001724771223962307,
-0.03665401414036751,
-0.050686296075582504,
0.022424813359975815,
0.03552645817399025,
0.07314570993185043,
0.002155797788873315,
0.014589029364287853,
-0.02772342413663864
] | null |
557 |
DCBM: Data-Efficient Visual Concept Bottleneck Models
|
https://openreview.net/forum?id=BdO4R6XxUH
|
[
"Katharina Prasse",
"Patrick Knab",
"Sascha Marton",
"Christian Bartelt",
"Margret Keuper"
] |
Poster
|
Concept Bottleneck Models (CBMs) enhance the interpretability of neural networks by basing predictions on human-understandable concepts. However, current CBMs typically rely on concept sets extracted from large language models or extensive image corpora, limiting their effectiveness in data-sparse scenarios. We propose Data-efficient CBMs (DCBMs), which reduce the need for large sample sizes during concept generation while preserving interpretability. DCBMs define concepts as image regions detected by segmentation or detection foundation models, allowing each image to generate multiple concepts across different granularities. Exclusively containing dataset-specific concepts, DCBMs are well suited for fine-grained classification and out-of-distribution tasks. Attribution analysis using Grad-CAM demonstrates that DCBMs deliver visual concepts that can be localized in test images. By leveraging dataset-specific concepts instead
of predefined or general ones, DCBMs enhance adaptability to new domains. The code is available at: https://github.com/KathPra/DCBM.
|
Explainable AI, concept bottleneck models, foundation models
|
Data-efficient CBMs (DCBMs) generate concepts from image regions detected by segmentation or detection models.
| 13,036 |
2412.11576
|
[
-0.00013117857452016324,
-0.02497962675988674,
-0.0328790657222271,
0.06562452763319016,
0.02097449079155922,
0.025285620242357254,
-0.006117037031799555,
0.023783691227436066,
-0.03312200680375099,
-0.03922044485807419,
-0.052126530557870865,
0.006391062866896391,
-0.04896743223071098,
0.029467133805155754,
-0.002364759799093008,
0.053282879292964935,
0.03602239117026329,
0.018110785633325577,
0.024839580059051514,
0.016260670498013496,
-0.010369256138801575,
-0.017891161143779755,
-0.0007408964447677135,
0.03437691554427147,
0.026607830077409744,
-0.001314234919846058,
0.0495452843606472,
0.02224542759358883,
-0.03418099507689476,
0.017153926193714142,
0.03278666362166405,
-0.011911090463399887,
0.01666112430393696,
-0.0029677883721888065,
0.021018080413341522,
0.008249547332525253,
-0.05401846021413803,
0.005186387803405523,
0.022083967924118042,
-0.016557423397898674,
-0.041555799543857574,
0.03156139701604843,
0.031413305550813675,
0.023644309490919113,
-0.06515778601169586,
0.008893233723938465,
-0.106441929936409,
0.02481647953391075,
-0.0009478643187321723,
-0.031312812119722366,
-0.08893737196922302,
0.021105319261550903,
-0.013275791890919209,
-0.00015657581388950348,
0.006234125699847937,
0.028894774615764618,
0.011964152567088604,
-0.0706501379609108,
-0.005534350872039795,
-0.06462275236845016,
-0.034970592707395554,
0.011830577626824379,
0.024976838380098343,
0.021682456135749817,
0.017477920278906822,
-0.034988753497600555,
-0.004342579282820225,
0.04227820783853531,
-0.05977755784988403,
-0.03360763564705849,
-0.011988984420895576,
0.019807279109954834,
-0.004399405792355537,
-0.014290696941316128,
-0.00993857067078352,
-0.02100645750761032,
0.027756644412875175,
-0.023377135396003723,
0.0902995839715004,
-0.05427851900458336,
0.010120347142219543,
0.02826305478811264,
0.004657110199332237,
0.03689272701740265,
-0.015942810103297234,
0.010304238647222519,
-0.04613001272082329,
-0.0606599859893322,
-0.10575559735298157,
0.03960951790213585,
-0.01181452814489603,
-0.01592257060110569,
0.009095300920307636,
0.03199777752161026,
0.0019011071417480707,
0.0049004447646439075,
0.031175021082162857,
-0.009517436847090721,
0.03110327385365963,
-0.012083400972187519,
-0.015753645449876785,
-0.046818558126688004,
0.006741235964000225,
0.003454487072303891,
-0.09995369613170624,
0.007538641802966595,
-0.015018775127828121,
-0.030099259689450264,
-0.030789323151111603,
0.02190685272216797,
-0.009888630360364914,
-0.0024230866692960262,
-0.01718711666762829,
-0.00625521969050169,
-0.06706549227237701,
0.022307541221380234,
-0.0070343478582799435,
0.019001102074980736,
-0.020201781764626503,
0.01204379927366972,
0.05338944494724274,
0.05838555097579956,
0.004255088046193123,
0.06208908185362816,
-0.015182712115347385,
-0.014776977710425854,
-0.0037804816383868456,
0.03245871141552925,
-0.04135737195611,
-0.003811173141002655,
0.009867968037724495,
0.026508763432502747,
-0.029386060312390327,
-0.012734364718198776,
-0.0065162391401827335,
-0.01799621433019638,
0.029785890132188797,
0.006540530826896429,
0.02366398088634014,
-0.0076562752947211266,
0.03990214318037033,
-0.02794583886861801,
0.04914110526442528,
0.017755694687366486,
0.04384080693125725,
-0.02120119333267212,
-0.006538310553878546,
-0.023184508085250854,
-0.03763081133365631,
0.016955889761447906,
-0.014366485178470612,
-0.013765617273747921,
0.0030792781617492437,
-0.0534093864262104,
0.040939200669527054,
0.07039255648851395,
-0.009979740716516972,
0.008882749825716019,
0.01700606569647789,
-0.002467628801241517,
-0.007026139181107283,
-0.03163234516978264,
-0.020478203892707825,
0.0014581737341359258,
-0.0016044588992372155,
-0.07087895274162292,
0.038531411439180374,
0.015455496497452259,
-0.04744869843125343,
0.039468299597501755,
-0.05346915125846863,
-0.06389375030994415,
0.05484846606850624,
0.01210936438292265,
-0.0071479566395282745,
0.031468190252780914,
0.06349001079797745,
0.03416447713971138,
0.014967969618737698,
0.031760282814502716,
-0.07498793303966522,
0.012675106525421143,
0.021009808406233788,
-0.012416660785675049,
0.00800163671374321,
-0.030209790915250778,
0.09206609427928925,
-0.027247773483395576,
-0.010781444609165192,
0.031187985092401505,
-0.07002954185009003,
-0.01286337897181511,
-0.004290016833692789,
0.0037277769297361374,
0.04323029890656471,
-0.002994201146066189,
-0.017420386895537376,
0.03857310116291046,
0.03470003604888916,
0.05939987674355507,
0.07642143219709396,
-0.039264339953660965,
0.06341051310300827,
-0.02673248015344143,
-0.04482226446270943,
0.01638638973236084,
0.031236503273248672,
-0.0631938949227333,
-0.05245130881667137,
0.001263465965166688,
-0.02085239440202713,
-0.00849180482327938,
-0.001868153689429164,
0.005810950417071581,
0.0388110913336277,
0.011665552854537964,
0.00882524810731411,
0.007912514731287956,
0.005107898730784655,
-0.052597254514694214,
0.04056250676512718,
0.04305541515350342,
-0.015098889358341694,
0.015927769243717194,
-0.007329499814659357,
0.08044350147247314,
0.06084521487355232,
0.0011882276739925146,
-0.0178347397595644,
0.03133528307080269,
0.016308899968862534,
0.011548297479748726,
-0.0048081097193062305,
-0.03559156507253647,
0.001681790454313159,
-0.0065768128260970116,
0.0014752715360373259,
-0.020227273926138878,
0.07594926655292511,
-0.04533209279179573,
-0.036592502146959305,
0.0274352990090847,
-0.014944237656891346,
0.046809010207653046,
0.02050994150340557,
-0.010713067837059498,
0.038807809352874756,
-0.022212238982319832,
-0.04743654280900955,
-0.010363591834902763,
-0.01091707218438387,
0.01476990431547165,
-0.011460194364190102,
-0.01642199605703354,
0.013012345880270004,
-0.04703722894191742,
0.020461199805140495,
-0.018506061285734177,
0.07270210981369019,
0.050565168261528015,
0.014265497215092182,
0.033949609845876694,
0.01658756472170353,
-0.0102738281711936,
0.0016942425863817334,
-0.08901461213827133,
-0.06294481456279755,
-0.03506245091557503,
0.0660533756017685,
-0.016452845185995102,
0.03741484135389328,
0.009647298604249954,
-0.012014461681246758,
-0.03743797168135643,
-0.03364046663045883,
-0.01417501550167799,
0.0302133746445179,
0.03684895858168602,
-0.01693076081573963,
-0.018978318199515343,
-0.004574834834784269,
0.05680565536022186,
-0.017450649291276932,
-0.0017769180703908205,
0.01255572959780693,
-0.03654303774237633,
-0.012075506150722504,
-0.023113001137971878,
-0.007606690749526024,
0.011797142215073109,
0.024079373106360435,
0.013775862753391266,
-0.013378436677157879,
-0.001398491789586842,
0.03895790874958038,
0.05486392602324486,
0.02578507922589779,
-0.04415871575474739,
-0.013428614474833012,
0.04853907972574234,
-0.017264647409319878,
0.04644244536757469,
0.029728276655077934,
0.0029341052286326885,
-0.03388688340783119,
0.014327362179756165,
0.021230056881904602,
-0.009039003401994705,
-0.2567559778690338,
0.0011339181801304221,
0.003981336019933224,
-0.0456356406211853,
0.03249619901180267,
-0.05211979150772095,
0.017843449488282204,
-0.027463262900710106,
-0.005161918234080076,
-0.005459732376039028,
0.019278239458799362,
0.03969506919384003,
-0.014164116233587265,
0.04567059502005577,
0.029652010649442673,
0.03526628017425537,
0.0036198673769831657,
-0.05567389726638794,
0.005719754379242659,
0.042248860001564026,
0.0048865070566535,
-0.07893911004066467,
-0.022212693467736244,
0.03601125255227089,
-0.03733103722333908,
0.02648935839533806,
-0.08694145828485489,
-0.0018123293993994594,
-0.0353117473423481,
0.006440349854528904,
0.027649620547890663,
-0.030596794560551643,
-0.012452955357730389,
0.04688150808215141,
0.027088157832622528,
0.051317162811756134,
0.057587794959545135,
0.003038698574528098,
0.004521564114838839,
-0.019962413236498833,
0.021950850263237953,
-0.03581880405545235,
-0.010749890469014645,
0.0038134583737701178,
0.08194160461425781,
0.010886967182159424,
-0.04200749099254608,
-0.03478911891579628,
-0.010451755486428738,
0.02735850028693676,
0.004511797334998846,
-0.04001122713088989,
-0.013177064247429371,
0.047914739698171616,
0.005885393358767033,
-0.030805986374616623,
0.013977376744151115,
-0.01695258915424347,
-0.02634049393236637,
-0.02168240398168564,
0.0314042754471302,
-0.028523314744234085,
-0.015684232115745544,
-0.04199812188744545,
-0.009940290823578835,
-0.03715349733829498,
-0.06265231966972351,
-0.03672587871551514,
0.035676248371601105,
0.06319598108530045,
-0.023619869723916054,
0.0239673163741827,
-0.013562587089836597,
-0.08595286309719086,
0.03706953674554825,
-0.006194726098328829,
-0.01179251354187727,
0.0013412358239293098,
-0.007629760075360537,
0.03782593086361885,
0.022180162370204926,
-0.05421086773276329,
0.02003571204841137,
0.009500282816588879,
0.010165312327444553,
-0.046792805194854736,
0.008749939501285553,
-0.0017533235950395465,
-0.01249943021684885,
-0.013600644655525684,
0.037092629820108414,
0.04469333589076996,
0.0357661172747612,
-0.024665096774697304,
0.04644925147294998,
0.03571005538105965,
0.012104430235922337,
0.05742281675338745,
0.028439626097679138,
0.01629604957997799,
0.010990495793521404,
-0.05877842754125595,
-0.05018247291445732,
-0.04431077837944031,
-0.08050360530614853,
0.005159030668437481,
-0.0515514500439167,
-0.028217358514666557,
0.021867478266358376,
0.0026951616164296865,
-0.019249361008405685,
-0.0346897691488266,
-0.0010403682244941592,
-0.013381097465753555,
-0.001249576103873551,
0.015402233228087425,
-0.02749408222734928,
0.023216748610138893,
0.0015828048344701529,
-0.0025837665889412165,
-0.001008440856821835,
0.07087388634681702,
0.01934177614748478,
-0.006463233381509781,
-0.0006102222832851112,
-0.008340297266840935,
-0.04434288665652275,
-0.025665592402219772,
0.00022118541528470814,
-0.014024184085428715,
0.04046060889959335,
0.028674082830548286,
0.00035276610287837684,
0.03684954717755318,
0.06551270186901093,
-0.03495302423834801,
-0.026480782777071,
0.005939139984548092,
0.036882106214761734,
-0.04074655473232269,
0.004866159521043301,
-0.015030908398330212,
0.03230701759457588,
0.036177877336740494,
0.04395372420549393,
-0.005427706521004438,
-0.0012670056894421577,
0.026781393215060234,
0.009234814904630184,
-0.02371853031218052,
0.0041959695518016815,
-0.06856665015220642,
-0.011004829779267311,
-0.06777360290288925,
-0.0070992736145854,
-0.008502962067723274,
0.011918273754417896,
-0.00698842154815793,
0.04606719687581062,
-0.07309258729219437,
0.061971843242645264,
0.004475784953683615,
0.015420790761709213,
-0.0419963002204895,
0.0005485435831360519,
0.03875746950507164,
0.024467388167977333,
-0.04433008283376694,
0.004061304032802582,
0.01158924400806427,
-0.014617661945521832,
-0.019569458439946175,
-0.04872617498040199,
-0.020047318190336227,
-0.006750151049345732,
0.03902941197156906,
-0.022785436362028122,
0.0004223510914016515,
-0.009600535035133362,
0.06504935026168823,
-0.023810019716620445,
-0.03997419774532318,
0.04367703199386597,
0.03388385847210884,
0.07861001044511795,
0.03567182272672653,
-0.002438401570543647,
0.021447883918881416,
-0.032270919531583786,
0.04858139529824257,
0.011859907768666744,
0.0032017843332141638,
0.022846128791570663,
-0.022038130089640617,
-0.01054992526769638,
-0.03816825896501541,
0.011074370704591274,
0.037803154438734055,
-0.024045614525675774,
-0.012568134814500809,
-0.03415505215525627,
0.040566395968198776,
-0.044436752796173096,
0.02522953785955906,
0.030777858570218086,
-0.07010075449943542,
0.00999654270708561,
0.03646225109696388,
-0.025291940197348595,
-0.0006521931500174105,
0.0046993582509458065,
-0.029874391853809357,
-0.06589073687791824,
-0.057660169899463654,
0.010640261694788933,
-0.008632000535726547,
-0.03142859786748886,
-0.042650628834962845,
0.05013830214738846,
0.008584067225456238,
-0.004856558982282877,
-0.006378420628607273,
-0.003288073930889368,
-0.0022868667729198933,
0.02979033999145031,
0.036454297602176666,
-0.01993226632475853,
0.013115963898599148,
-0.05090626701712608,
-0.008628692477941513,
-0.015191366896033287,
-0.04739385098218918,
0.015026743523776531,
0.04626701399683952,
-0.006609989795833826,
-0.015846947208046913,
-0.011718062683939934,
0.04312477633357048,
0.020923815667629242,
-0.022648245096206665,
0.007492968812584877,
0.01131072361022234,
-0.03343978151679039,
0.01927371509373188,
0.018229708075523376,
0.002570169046521187,
0.03203372657299042,
0.021507099270820618,
0.015902353450655937,
-0.01960624009370804,
-0.009386910125613213,
-0.004277515225112438,
-0.05289174243807793,
-0.01203317753970623,
0.05422522500157356,
-0.033498454838991165,
-0.049533989280462265,
-0.06145678833127022,
-0.03986639529466629,
0.033032335340976715,
0.029558265581727028,
0.03644237294793129,
-0.020473366603255272,
0.05612745136022568,
-0.011129803024232388,
0.02101755514740944,
-0.015217525884509087,
-0.014820895157754421,
0.05085977911949158,
-0.02137932926416397,
-0.0052296980284154415,
-0.022030049934983253,
-0.03033493272960186,
0.06772178411483765,
-0.04980005696415901,
0.015663551166653633,
-0.03159727528691292,
-0.05348050966858864,
0.03321859613060951,
-0.03147955611348152,
-0.054475076496601105,
0.021788321435451508,
-0.04327637329697609,
0.018714869394898415,
0.009644372388720512,
-0.05479991436004639,
0.02191231958568096,
-0.040747590363025665,
-0.015629936009645462,
-0.002510978374630213,
-0.02486659400165081,
0.04693954437971115,
-0.03573978692293167,
0.038949474692344666,
-0.013503726571798325,
-0.010863056406378746,
0.033362977206707,
0.06295546889305115,
0.014033321291208267,
0.027330443263053894,
-0.01822798140347004,
0.06685583293437958,
0.037409987300634384,
-0.03162751346826553,
-0.0017588856862857938,
0.010166804306209087,
-0.024393511936068535,
-0.02665427327156067,
0.058210309594869614,
0.00218843761831522,
-0.013970796950161457,
-0.08757442981004715,
0.06891761720180511,
0.0346037782728672,
-0.05368010699748993,
-0.01239793747663498,
0.042131680995225906,
-0.06635404378175735,
0.04674076288938522,
0.0064371563494205475,
-0.0027194363065063953,
0.018132828176021576,
0.026882166042923927,
0.010409354232251644,
0.035881683230400085,
0.08904705941677094,
-0.017899859696626663,
-0.028004232794046402,
-0.019166341051459312,
0.08535851538181305,
0.04895965754985809,
0.04093564674258232,
0.0028990809805691242,
0.058809734880924225,
-0.028074072673916817,
-0.037786442786455154,
0.024605927988886833,
0.03925299271941185,
-0.032752346247434616,
-0.07916263490915298,
-0.0014876077184453607,
0.08738499134778976,
0.02475298009812832,
0.05449310690164566,
-0.04472309723496437,
0.010167132131755352,
0.04459172114729881,
0.031052259728312492,
-0.03959069401025772,
0.02371319569647312,
0.017363518476486206,
-0.016987210139632225,
-0.028195707127451897,
0.002522876253351569,
-0.006818950641900301,
-0.01448009628802538,
-0.00011388341226847842,
0.002084072446450591,
-0.019253943115472794,
-0.003231604350730777,
-0.033409446477890015,
0.04693601280450821,
0.09866026043891907,
-0.005936437286436558,
-0.02952883392572403,
0.02522650733590126,
0.044179607182741165,
0.007785278372466564,
0.06681710481643677,
0.00723204854875803,
-0.023346733301877975,
-0.018820617347955704,
-0.037697114050388336,
0.02311972714960575,
0.02216912992298603,
-0.014429043978452682,
0.01952260173857212,
-0.0501672737300396,
-0.04228473827242851,
0.007848075591027737,
0.04650042951107025,
-0.05886724591255188,
-0.0538540855050087,
-0.032541390508413315,
-0.02604730799794197,
-0.06880327314138412,
-0.036037735641002655,
0.04110034927725792,
0.007785964757204056,
-0.014900567941367626,
-0.020669588819146156,
-0.01903812400996685,
0.00306895119138062,
0.05273352563381195,
-0.06275898218154907,
0.008279875852167606,
0.03014625422656536,
0.021174345165491104,
-0.011180675588548183,
0.02735772170126438,
0.023129187524318695,
-0.06572745740413666,
-0.0008446485153399408,
0.07215452194213867,
0.029771532863378525,
-0.0021273160818964243,
-0.003842628560960293,
0.008916429243981838,
-0.09458255767822266,
0.019731972366571426,
0.017458714544773102,
-0.05074677988886833,
-0.06449202448129654,
0.03718414530158043,
-0.0189070925116539,
0.026755759492516518,
0.06606899946928024,
-0.004578362684696913,
0.0245998352766037,
-0.05565332621335983,
0.019058875739574432,
-0.03687378391623497,
-0.0004286288458388299,
0.038628216832876205,
-0.0317901149392128,
0.050125475972890854,
0.03488545119762421,
-0.013742019422352314,
-0.037261396646499634,
-0.014331190846860409,
-0.017475316300988197,
0.01677827164530754,
-0.021902503445744514,
-0.0011188066564500332,
-0.03118993528187275,
-0.11150213330984116,
-0.01600487530231476,
0.027631977573037148,
0.00030128820799291134,
-0.010538402013480663,
0.0007491787546314299,
-0.013591603375971317,
-0.0057278904132544994,
-0.030790600925683975,
0.003585735335946083,
-0.031734004616737366,
-0.035998594015836716,
-0.03350917994976044,
-0.058560244739055634,
0.028475739061832428,
-0.020488737151026726,
0.008832123130559921,
-0.05637592449784279,
-0.05964330956339836,
-0.004884347319602966,
-0.010819710791110992,
0.04412069916725159,
-0.005711108446121216,
0.037008680403232574,
-0.017424680292606354
] |
https://github.com/KathPra/DCBM
|
558 |
SPEX: Scaling Feature Interaction Explanations for LLMs
|
https://openreview.net/forum?id=pRlKbAwczl
|
[
"Justin Singh Kang",
"Landon Butler",
"Abhineet Agarwal",
"Yigit Efe Erginbas",
"Ramtin Pedarsani",
"Bin Yu",
"Kannan Ramchandran"
] |
Poster
|
Large language models (LLMs) have revolutionized machine learning due to their ability to capture complex interactions between input features. Popular post-hoc explanation methods like SHAP provide *marginal* feature attributions, while their extensions to interaction importances only scale to small input lengths ($\approx 20$). We propose *Spectral Explainer* (SPEX), a model-agnostic interaction attribution algorithm that efficiently scales to large input lengths ($\approx 1000)$. SPEX exploits underlying natural sparsity among interactions—common in real-world data—and applies a sparse Fourier transform using a channel decoding algorithm to efficiently identify important interactions. We perform experiments across three difficult long-context datasets that require LLMs to utilize interactions between inputs to complete the task. For large inputs, SPEX outperforms marginal attribution methods by up to 20\% in terms of faithfully reconstructing LLM outputs. Further, SPEX successfully identifies key features and interactions that strongly influence model output. For one of our datasets, *HotpotQA*, SPEX provides interactions that align with human annotations. Finally, we use our model-agnostic approach to generate explanations to demonstrate abstract reasoning in closed-source LLMs (*GPT-4o mini*) and compositional reasoning in vision-language models.
|
Interpretability, Signal Processing, Compressed Sensing, SHAP, Interactions
|
Enabling post-hoc interaction explanations with orders of magnitude larger input spaces over the previous state of the art via a signal processing inspired algorithm.
| 13,030 |
2502.13870
|
[
-0.02826101705431938,
-0.032085031270980835,
0.005909072235226631,
0.01916518807411194,
0.03304028883576393,
0.019349345937371254,
0.030971141532063484,
-0.0025614008773118258,
-0.014924979768693447,
-0.029292892664670944,
-0.026741882786154747,
0.06480660289525986,
-0.0719010978937149,
-0.004168376326560974,
-0.0042743980884552,
0.053750716149806976,
0.010840220376849174,
0.00856948271393776,
0.006436806172132492,
0.03956717997789383,
0.042420972138643265,
0.002312244614586234,
0.054532237350940704,
-0.005780085921287537,
0.010235079564154148,
-0.0031686662696301937,
0.018378078937530518,
0.008656335063278675,
-0.040626127272844315,
0.021484773606061935,
0.04746894910931587,
0.005653240252286196,
-0.01387404277920723,
-0.04066231846809387,
0.02334647625684738,
-0.0013804833870381117,
-0.03839273750782013,
-0.0007644066354259849,
-0.02375473640859127,
0.02228355221450329,
-0.013248694129288197,
0.030343757942318916,
-0.02327835187315941,
0.02577243372797966,
-0.06925151497125626,
-0.013035149313509464,
-0.13717079162597656,
0.040223125368356705,
-0.006919382140040398,
-0.051490169018507004,
-0.09350333362817764,
0.02467402257025242,
-0.027497723698616028,
0.0020332590211182833,
0.0036648069508373737,
0.06980785727500916,
0.03802388161420822,
-0.09887680411338806,
0.013929164037108421,
-0.012076080776751041,
-0.052817754447460175,
0.014858388341963291,
0.008755913935601711,
0.012809626758098602,
-0.013519177213311195,
-0.014747818931937218,
-0.012446482665836811,
0.03252946585416794,
-0.05885310471057892,
-0.05359825864434242,
-0.021832294762134552,
0.013220338150858879,
-0.026430290192365646,
0.012700604274868965,
0.02680204063653946,
-0.02956918627023697,
0.04835658147931099,
0.03423065319657326,
0.05601194128394127,
0.0007643921417184174,
-0.009624105878174305,
0.0291206706315279,
0.029247159138321877,
0.029682908207178116,
0.011150847189128399,
0.0099654421210289,
-0.03344855457544327,
-0.011194790713489056,
-0.06051073223352432,
0.033308882266283035,
0.007015503942966461,
-0.06342435628175735,
0.029399944469332695,
0.04034682735800743,
0.018735472112894058,
-0.010139426216483116,
0.030270356684923172,
0.0056522684171795845,
-0.03065556474030018,
-0.004826952703297138,
-0.02155967615544796,
-0.025450585409998894,
0.02670023962855339,
0.01926044560968876,
-0.1209227666258812,
-0.019794456660747528,
-0.021199233829975128,
-0.006390427704900503,
-0.021894345059990883,
-0.00988155696541071,
-0.011002595536410809,
0.016469808295369148,
0.015049255453050137,
-0.009725448675453663,
-0.05406332015991211,
0.04364239051938057,
0.02420450560748577,
0.021109115332365036,
0.020421119406819344,
0.01173790916800499,
0.044098395854234695,
0.03301525488495827,
-0.013553885743021965,
0.08183234930038452,
-0.012696601450443268,
0.009529969654977322,
0.019045604392886162,
0.04243331030011177,
-0.04832284152507782,
-0.04801521450281143,
0.020007707178592682,
0.014458293095231056,
-0.010425112210214138,
-0.002942227991297841,
0.0170143935829401,
-0.01776709407567978,
0.022586021572351456,
0.009855037555098534,
0.044365979731082916,
0.01201070100069046,
0.0077901980839669704,
0.0011651687091216445,
0.03974463418126106,
-0.0178159698843956,
0.06489647924900055,
-0.004407478030771017,
-0.022970568388700485,
-0.03352847322821617,
-0.04041783884167671,
-0.006046654656529427,
0.025052789598703384,
-0.0065024797804653645,
0.02232993394136429,
-0.0514923520386219,
0.015069197863340378,
0.08878213167190552,
0.0043158577755093575,
-0.010832837782800198,
0.02244071662425995,
0.016724366694688797,
0.007813817821443081,
-0.01200700644403696,
-0.047081463038921356,
0.016999375075101852,
-0.013194411061704159,
-0.02303854562342167,
-0.002110203495249152,
0.009004192426800728,
-0.039218392223119736,
-0.0034741417039185762,
-0.01962689682841301,
-0.022599004209041595,
0.05879456177353859,
-0.019190218299627304,
-0.017558284103870392,
-0.024095499888062477,
0.07215768098831177,
0.02251620963215828,
0.0538862943649292,
0.02181202732026577,
-0.08256666362285614,
-0.007571784779429436,
-0.0014377438928931952,
-0.004649935755878687,
0.022134728729724884,
-0.00021806916629429907,
0.09746640175580978,
-0.03565078601241112,
-0.026040825992822647,
0.01335944700986147,
-0.08095502853393555,
-0.03479866310954094,
0.020897861570119858,
0.012331098318099976,
0.05290085822343826,
-0.019551467150449753,
-0.02994692325592041,
0.039475735276937485,
0.04066450893878937,
0.03109925054013729,
0.050337761640548706,
-0.0353601835668087,
0.02938799373805523,
0.025608155876398087,
-0.0272646676748991,
-0.019236059859395027,
-0.002412517089396715,
-0.06698713451623917,
-0.06345365941524506,
-0.004115412477403879,
0.0043076565489172935,
-0.017953405156731606,
0.015488041564822197,
-0.014555633068084717,
0.03521279990673065,
0.021405834704637527,
-0.01611967571079731,
-0.0056159887462854385,
-0.00895411055535078,
-0.02975727990269661,
0.015939932316541672,
-0.0024298052303493023,
-0.004140921402722597,
0.0113086411729455,
-0.02824571169912815,
0.09107603877782822,
0.07187744975090027,
-0.01529482938349247,
-0.023416802287101746,
0.016719220206141472,
0.0278900358825922,
-0.004699454642832279,
0.008108468726277351,
-0.058448221534490585,
0.005616159178316593,
-0.030248397961258888,
-0.010959014296531677,
-0.039934538304805756,
0.04312286525964737,
-0.03600939363241196,
-0.022584980353713036,
0.06688835471868515,
-0.01526414044201374,
0.03535313904285431,
-0.01301670540124178,
0.029259350150823593,
0.041108306497335434,
0.004404861479997635,
0.008633649908006191,
-0.02351010963320732,
0.020788250491023064,
0.018585657700896263,
0.011997169815003872,
-0.02805752493441105,
0.00814597588032484,
-0.03405611589550972,
-0.016091972589492798,
-0.0350174643099308,
0.07872933894395828,
0.04904632270336151,
-0.0019992664456367493,
0.013529728166759014,
0.013765363954007626,
-0.055477142333984375,
-0.0028954113367944956,
-0.10292143374681473,
-0.032921627163887024,
-0.0448603481054306,
0.005570361856371164,
0.02614777535200119,
0.0411926694214344,
-0.01745649054646492,
0.00979756098240614,
-0.05733100324869156,
0.00954776257276535,
-0.0039260126650333405,
0.021505823358893394,
-0.022610604763031006,
-0.017245279625058174,
-0.03275049105286598,
-0.005584184546023607,
0.040057942271232605,
-0.014410516247153282,
-0.0027178400196135044,
-0.030074557289481163,
-0.03684338927268982,
-0.03151494637131691,
-0.0255862008780241,
0.015880173072218895,
0.007150839548557997,
0.01273978129029274,
0.014617521315813065,
-0.0234212763607502,
0.005771795753389597,
0.01616576313972473,
0.07689043134450912,
0.06601724773645401,
-0.01375432126224041,
0.005458199884742498,
0.025025416165590286,
-0.007910182699561119,
0.000918702979106456,
-0.00915528368204832,
0.01753729209303856,
-0.006260222755372524,
-0.010808488354086876,
0.0016418080776929855,
-0.022089079022407532,
-0.2760034501552582,
-0.034394271671772,
0.020426014438271523,
-0.04897414147853851,
0.048729900270700455,
-0.00525633106008172,
0.05495155602693558,
-0.05190931260585785,
-0.01801643706858158,
0.013809838332235813,
0.01675317995250225,
0.026125648990273476,
0.005024850368499756,
0.042174577713012695,
0.04812607169151306,
0.04430379718542099,
0.0018181425984948874,
-0.043389126658439636,
0.03594807907938957,
0.037065837532281876,
-0.02406557835638523,
-0.05324915423989296,
0.0062218583188951015,
0.07320218533277512,
-0.035028595477342606,
0.040058284997940063,
-0.07318934798240662,
-0.0052610174752771854,
-0.03445348143577576,
-0.013727457262575626,
-0.00004432476998772472,
-0.027123428881168365,
-0.031285610049963,
0.02969267964363098,
-0.008259620517492294,
0.005801662337034941,
0.05435275286436081,
-0.004972557537257671,
0.027657080441713333,
-0.0009164232178591192,
0.008991344831883907,
-0.042800016701221466,
-0.006929021794348955,
-0.006261608097702265,
0.054004963487386703,
-0.00023326111841015518,
-0.03203531354665756,
-0.008464147336781025,
-0.0168524831533432,
0.037311505526304245,
-0.020825281739234924,
-0.009542516432702541,
-0.00909319519996643,
0.0009546371293254197,
0.008330071344971657,
-0.025091249495744705,
-0.009825831279158592,
-0.02694072388112545,
-0.030104784294962883,
-0.0006895259139128029,
-0.019741374999284744,
-0.06281134486198425,
-0.024501346051692963,
-0.06304796040058136,
-0.022061850875616074,
-0.017769277095794678,
-0.06285355240106583,
-0.07170338928699493,
0.02168620377779007,
0.038247425109148026,
-0.01851828023791313,
0.03174959868192673,
0.014355547726154327,
-0.09173288941383362,
0.016213782131671906,
0.011714073829352856,
-0.027055853977799416,
0.008057272993028164,
0.013360118493437767,
0.03087175264954567,
-0.04115818440914154,
-0.03950405493378639,
0.002246642019599676,
0.006657957565039396,
0.007752399891614914,
-0.0241482462733984,
0.01256258599460125,
-0.03214716911315918,
-0.05339403823018074,
-0.02314440906047821,
0.024164030328392982,
0.018395794555544853,
0.01289935689419508,
0.037880539894104004,
0.046269215643405914,
0.02541234716773033,
0.023361679166555405,
0.09011536836624146,
0.03859930485486984,
-0.01434006355702877,
0.02443854883313179,
-0.06451448053121567,
-0.01901845820248127,
-0.034218039363622665,
-0.01951146312057972,
0.02760208398103714,
-0.07433819025754929,
-0.035293713212013245,
0.03786773979663849,
-0.02065362222492695,
-0.04948211461305618,
-0.021630309522151947,
-0.027445383369922638,
-0.00003754392673727125,
-0.009254449047148228,
-0.0015234729507938027,
0.009907683357596397,
0.05483648553490639,
0.044466543942689896,
-0.006822229363024235,
-0.024575840681791306,
0.04011450707912445,
0.006357578560709953,
-0.016049351543188095,
0.004745733458548784,
-0.004348172340542078,
-0.014224492944777012,
-0.008525790646672249,
0.005704973824322224,
0.013247097842395306,
0.012696470133960247,
0.0230737142264843,
-0.0004550581215880811,
0.007414219900965691,
0.0660434365272522,
0.013729963451623917,
-0.015221425332129002,
-0.01824820786714554,
0.017511539161205292,
-0.013591115362942219,
-0.0002676923177205026,
-0.02372760884463787,
0.020905369892716408,
0.023271601647138596,
0.05089361220598221,
-0.005725865717977285,
0.0506436750292778,
0.01805487461388111,
0.021507447585463524,
0.01176468562334776,
0.041716381907463074,
-0.020736580714583397,
-0.041056759655475616,
-0.018896082416176796,
0.029548699036240578,
-0.012940248474478722,
0.031081434339284897,
-0.017048878595232964,
0.020155616104602814,
-0.08349552005529404,
0.06312913447618484,
0.010312880389392376,
-0.0075154234655201435,
0.00997280701994896,
-0.01055547222495079,
0.03825399652123451,
-0.0357791967689991,
0.01720910333096981,
0.01288581732660532,
0.016457706689834595,
0.02153945155441761,
-0.016276665031909943,
-0.03239907696843147,
0.033608462661504745,
0.005671357735991478,
0.009067149832844734,
-0.005496107041835785,
0.00020889969891868532,
-0.013286503031849861,
0.07442616671323776,
0.02744515798985958,
-0.03659796714782715,
-0.0038771983236074448,
0.024597279727458954,
0.07548094540834427,
0.03267102688550949,
0.006678348407149315,
-0.030086835846304893,
-0.022608520463109016,
0.03727712482213974,
-0.006336086895316839,
0.012831870466470718,
-0.00034416239941492677,
-0.04088369384407997,
-0.04500001668930054,
-0.0482591949403286,
0.03751135617494583,
0.010369294323027134,
-0.017397012561559677,
-0.022729793563485146,
-0.0022069828119128942,
0.004787529818713665,
-0.04691392928361893,
0.012806475162506104,
0.01406053639948368,
-0.08635079115629196,
0.023480815812945366,
0.04559364914894104,
-0.030234072357416153,
0.019496524706482887,
-0.005578488577157259,
-0.02220963127911091,
-0.08393116295337677,
-0.005969907157123089,
0.00599460257217288,
-0.018681010231375694,
-0.00676548620685935,
-0.02334406226873398,
-0.0005865487037226558,
-0.015097882598638535,
0.024017276242375374,
-0.00021640240447595716,
-0.013605336658656597,
-0.014405470341444016,
0.00236180005595088,
0.04319515824317932,
-0.038977090269327164,
0.017726490274071693,
0.021719101816415787,
-0.059214938431978226,
0.01028873585164547,
-0.06320963054895401,
0.023035869002342224,
0.0692756399512291,
0.014172032475471497,
-0.012022682465612888,
-0.08432600647211075,
0.01910267025232315,
0.027477025985717773,
-0.005962652154266834,
0.035407502204179764,
-0.011147327721118927,
-0.0124841732904315,
0.015291769057512283,
0.007494791876524687,
0.04932115599513054,
0.035955462604761124,
-0.03223926201462746,
-0.010013556107878685,
-0.004808127414435148,
0.005827661138027906,
0.0030510551296174526,
-0.03405428305268288,
0.002264031209051609,
0.06213424354791641,
-0.05946330726146698,
-0.0457041896879673,
-0.06623661518096924,
-0.054860129952430725,
-0.002643235959112644,
-0.013175793923437595,
0.02096095308661461,
-0.03207797184586525,
0.023224597796797752,
0.04099263250827789,
0.04789167270064354,
0.026448531076312065,
0.011830922216176987,
0.07102378457784653,
-0.002823928836733103,
-0.012373709119856358,
-0.048117298632860184,
-0.022920332849025726,
0.03652602806687355,
-0.03524253889918327,
0.0031972741708159447,
0.00221869139932096,
-0.0303574837744236,
0.03568333759903908,
-0.02292192168533802,
-0.03831649571657181,
0.03566867858171463,
-0.020386943593621254,
-0.014238370582461357,
0.055637095123529434,
-0.04589305445551872,
-0.03471768647432327,
-0.006818072870373726,
-0.01842818781733513,
0.006954208482056856,
-0.006687388755381107,
0.07337968051433563,
-0.035496942698955536,
0.017984183505177498,
-0.0008121689897961915,
-0.017289938405156136,
0.006112867034971714,
0.0694849044084549,
0.026632774621248245,
0.02920880913734436,
-0.013806452974677086,
0.06122579053044319,
0.026823822408914566,
-0.0009698771173134446,
-0.017420418560504913,
-0.015297445468604565,
-0.01908094249665737,
-0.05312921851873398,
0.07904971390962601,
-0.000418918818468228,
-0.02029903419315815,
-0.06776143610477448,
0.04540928825736046,
0.02465692348778248,
-0.045031286776065826,
0.0036118284333497286,
0.010637079365551472,
-0.03706090897321701,
0.0072417110204696655,
-0.0008666474604979157,
0.0035085133276879787,
-0.004506867378950119,
0.04933249205350876,
-0.013629423454403877,
0.031776007264852524,
0.07402601838111877,
0.03035859391093254,
0.008598078042268753,
-0.016795145347714424,
0.06856013089418411,
0.058837469667196274,
0.08246850222349167,
0.021845361217856407,
0.04687776789069176,
-0.05048041790723801,
-0.05123615264892578,
0.00967846717685461,
0.03397469222545624,
0.009062432684004307,
-0.053285181522369385,
0.008903084322810173,
0.09019123017787933,
0.013526912778615952,
0.051299355924129486,
-0.03625517711043358,
0.0009291539317928255,
0.044267069548368454,
-0.01487267017364502,
0.004327947273850441,
0.03018013760447502,
0.022778991609811783,
0.006384643260389566,
-0.03391135483980179,
-0.019286520779132843,
-0.0030787920113652945,
-0.035619478672742844,
0.0051717814058065414,
-0.012714894488453865,
0.010778892785310745,
0.02103014662861824,
0.0006423183949664235,
0.04930176958441734,
0.12732049822807312,
-0.022719481959939003,
-0.05165621265769005,
0.0553617887198925,
0.021908236667513847,
0.021411648020148277,
0.05234178155660629,
-0.004103613551706076,
-0.01137731783092022,
0.014453177340328693,
-0.04668804630637169,
0.0005717146559618413,
0.01872188411653042,
-0.006714865565299988,
0.05593469738960266,
-0.016922077164053917,
-0.01971614919602871,
0.005038950126618147,
0.03186912462115288,
-0.06128230690956116,
-0.06438127905130386,
-0.030250107869505882,
-0.030856333673000336,
-0.04317266866564751,
-0.031789787113666534,
0.03658318519592285,
0.00781998410820961,
-0.038294289261102676,
0.008131667040288448,
-0.05603759363293648,
0.016301702708005905,
0.022743839770555496,
-0.06873118877410889,
0.0248479675501585,
0.021104684099555016,
0.007200667168945074,
-0.00423038937151432,
0.010948768816888332,
0.005833291448652744,
-0.019316699355840683,
0.014642423018813133,
0.005453220568597317,
0.011572612449526787,
0.02364552766084671,
-0.014163295738399029,
-0.03649453818798065,
-0.10906495153903961,
0.014311003498733044,
0.003296190407127142,
-0.03481405973434448,
-0.08137983083724976,
0.020153988152742386,
-0.004706581588834524,
0.04244459047913551,
0.06320655345916748,
0.012696350924670696,
-0.013972635380923748,
-0.023159852251410484,
0.0187360942363739,
0.017972301691770554,
0.025722425431013107,
0.020971091464161873,
-0.005583645775914192,
0.05808285251259804,
0.03853098303079605,
-0.014866461046040058,
0.0050584482960402966,
0.019387803971767426,
-0.03437696769833565,
0.0005127124604769051,
0.00951119139790535,
-0.037761371582746506,
-0.021881259977817535,
-0.09570468962192535,
-0.06844028830528259,
0.021283568814396858,
-0.01790565624833107,
-0.03964584320783615,
-0.011323596350848675,
-0.018193431198596954,
-0.01825707033276558,
-0.04068305715918541,
-0.0007681299466639757,
0.0018982401816174388,
-0.026021502912044525,
-0.052448272705078125,
-0.06377813965082169,
-0.014418539591133595,
-0.008143305778503418,
-0.0169720146805048,
-0.05842777341604233,
-0.04981348291039467,
-0.04343041032552719,
0.02319171465933323,
0.06875769793987274,
0.006396525073796511,
0.03227967396378517,
-0.03460589796304703
] |
https://github.com/basics-lab/spectral-explain
|
559 |
S4S: Solving for a Fast Diffusion Model Solver
|
https://openreview.net/forum?id=9OaZCNbV2w
|
[
"Eric Frankel",
"Sitan Chen",
"Jerry Li",
"Pang Wei Koh",
"Lillian J. Ratliff",
"Sewoong Oh"
] |
Poster
|
Diffusion models (DMs) create samples from a data distribution by starting from random noise and iteratively solving a reverse-time ordinary differential equation (ODE).
Because each step in the iterative solution requires an expensive neural function evaluation (NFE), there has been significant interest in approximately solving these diffusion ODEs with only a few NFEs without modifying the underlying model.
However, in the few NFE regime, we observe that tracking the true ODE evolution is fundamentally impossible using traditional ODE solvers.
In this work, we propose a new method that learns a good solver for the DM, which we call **S**olving **for** the **S**olver (**S4S**).
S4S directly optimizes a solver to obtain good generation quality by learning to match the output of a strong teacher solver.
We evaluate S4S on six different pre-trained DMs, including pixel-space and latent-space DMs for both conditional and unconditional sampling.
In all settings, S4S uniformly improves the sample quality relative to traditional ODE solvers.
Moreover, our method is lightweight, data-free, and can be plugged in black-box on top of any discretization schedule or architecture to improve performance.
Building on top of this, we also propose **S4S-Alt**, which optimizes both the solver and the discretization schedule.
By exploiting the full design space of DM solvers, with 5 NFEs, we achieve an FID of 3.73 on CIFAR10 and 13.26 on MS-COCO, representing a $1.5\times$ improvement over previous training-free ODE methods.
|
Diffusion models, efficient sampling, ODE solvers
|
We learn the coefficients and time steps of diffusion model solvers to minimize global approximation error.
| 13,027 | null |
[
-0.051166221499443054,
-0.03178337961435318,
0.005953263957053423,
0.07165180146694183,
0.03969333693385124,
0.06057467311620712,
-0.003332114079967141,
-0.012039005756378174,
-0.011627544648945332,
-0.04670312628149986,
0.03964962437748909,
-0.02228335663676262,
-0.05336206033825874,
0.007263898383826017,
0.004553023725748062,
0.05962057784199715,
0.021614445373415947,
-0.025365415960550308,
-0.014671701937913895,
0.05065442994236946,
-0.010033776052296162,
-0.00916510634124279,
0.03970155864953995,
0.008760820142924786,
0.0030396028887480497,
-0.01824115216732025,
0.011050728149712086,
0.0037801451981067657,
-0.025779511779546738,
0.0012270435690879822,
0.04288605973124504,
0.020885111764073372,
-0.0013579213991761208,
-0.03331517428159714,
-0.017206598073244095,
0.012001467868685722,
-0.06096029281616211,
-0.00993951503187418,
-0.022348422557115555,
0.005627934355288744,
-0.06414435803890228,
0.019563117995858192,
0.00033375120256096125,
0.015551918186247349,
-0.010445631109178066,
-0.010323514230549335,
-0.09142877906560898,
0.016969341784715652,
-0.0016609040321782231,
0.00001949758006958291,
-0.12640735507011414,
0.029728900641202927,
0.002874902216717601,
-0.011205621995031834,
-0.03726290538907051,
0.019643425941467285,
0.0567379854619503,
-0.07463650405406952,
-0.019962146878242493,
-0.06344528496265411,
-0.03068600222468376,
0.0035960981622338295,
-0.008715647272765636,
0.015178256668150425,
-0.005230582784861326,
-0.004615858197212219,
0.021673455834388733,
0.04650852084159851,
-0.05008085072040558,
-0.035459794104099274,
0.014995330944657326,
0.009826067835092545,
-0.002391816582530737,
-0.004703689366579056,
-0.004834498278796673,
-0.03913699835538864,
0.02921358123421669,
0.036798737943172455,
0.06435422599315643,
-0.004070933908224106,
0.022963417693972588,
0.008264678530395031,
-0.0009037196869030595,
0.04158935695886612,
-0.0021206350065767765,
-0.005386847071349621,
-0.06284470856189728,
-0.007012155372649431,
-0.06933505833148956,
0.05986499786376953,
-0.0058346460573375225,
-0.06833003461360931,
0.028668560087680817,
0.035053789615631104,
0.045966003090143204,
-0.0001825119397835806,
0.01710333675146103,
-0.011134829372167587,
0.014450691640377045,
0.015535778366029263,
-0.013966109603643417,
-0.040707819163799286,
-0.001045277458615601,
-0.01554176677018404,
-0.06849487125873566,
-0.026885181665420532,
-0.041298020631074905,
-0.009177539497613907,
0.011832459829747677,
0.010556451044976711,
-0.013338807038962841,
-0.013772239908576012,
0.0135694844648242,
-0.02646816335618496,
-0.10321497917175293,
0.039156485348939896,
0.02075325883924961,
0.031251706182956696,
0.017069919034838676,
0.007303104270249605,
0.051434509456157684,
0.051966793835163116,
-0.026819534599781036,
0.06877637654542923,
0.02138441801071167,
0.056325580924749374,
0.05950554087758064,
0.04067986458539963,
-0.033165957778692245,
-0.026655273512005806,
-0.018627258017659187,
0.024737486615777016,
0.028701378032565117,
-0.0029945531859993935,
0.006851610727608204,
-0.03707335516810417,
-0.002731987973675132,
0.03091118298470974,
0.04184618964791298,
0.004700612276792526,
0.01632305048406124,
0.016371475532650948,
0.05680623650550842,
-0.031170975416898727,
0.044142939150333405,
-0.04931126534938812,
0.0009490957600064576,
-0.035122256726026535,
-0.05197663605213165,
-0.003715770784765482,
0.0009756205836310983,
0.011323675513267517,
-0.0008300994522869587,
-0.05906054005026817,
0.003879021853208542,
0.04696158692240715,
0.015627635642886162,
0.00576875451952219,
-0.00003245648986194283,
-0.01986241154372692,
0.03875359892845154,
-0.004646232817322016,
-0.0028464177157729864,
-0.013193990103900433,
-0.01078565139323473,
-0.040262117981910706,
0.04571465775370598,
0.03985143080353737,
-0.008765868842601776,
-0.03629051521420479,
-0.027076851576566696,
-0.034361857920885086,
0.05520031973719597,
-0.02791004069149494,
0.035136789083480835,
-0.028365066275000572,
0.04665675014257431,
-0.003170726587995887,
0.03746727854013443,
0.003962995484471321,
-0.09197989106178284,
-0.002643141197040677,
0.001949160359799862,
0.017253059893846512,
0.00949375331401825,
-0.055388785898685455,
0.09285526722669601,
-0.005382452625781298,
0.0169589314609766,
0.02806270308792591,
-0.1060725525021553,
-0.009713887237012386,
0.0321674719452858,
-0.01592409238219261,
0.06794298440217972,
0.023906435817480087,
0.008423032239079475,
-0.0022141453810036182,
0.015738695859909058,
0.029733775183558464,
0.04215455427765846,
-0.03840820863842964,
0.018103063106536865,
0.005471601616591215,
-0.039624426513910294,
-0.014990406110882759,
0.06861062347888947,
-0.069614477455616,
-0.018886996433138847,
0.014880398288369179,
-0.026020893827080727,
-0.026517948135733604,
0.010484565980732441,
-0.030655113980174065,
0.03500819951295853,
-0.0009384226286783814,
-0.021958060562610626,
0.001314744004048407,
0.011523731052875519,
-0.040806546807289124,
0.04332342743873596,
0.029668718576431274,
-0.015343395061790943,
0.0028505122754722834,
-0.024767154827713966,
0.08097793161869049,
0.0878826156258583,
-0.05541731044650078,
-0.005739643704146147,
-0.007131331134587526,
0.017914772033691406,
-0.013743673451244831,
0.03165541589260101,
-0.03832443431019783,
0.017043396830558777,
-0.020644137635827065,
0.012703318148851395,
-0.011579275131225586,
0.07018118351697922,
-0.03391506150364876,
-0.0017055600183084607,
0.05890096351504326,
-0.01574777066707611,
0.07114920765161514,
0.0003558489552233368,
0.035419728606939316,
0.021003564819693565,
-0.01801556907594204,
-0.02140752039849758,
-0.03816523402929306,
0.0007998008513823152,
0.033889301121234894,
0.019831931218504906,
-0.03702373802661896,
0.030834412202239037,
-0.05411769077181816,
-0.022486602887511253,
-0.0011885716812685132,
0.07350803911685944,
0.04059598967432976,
-0.005573757458478212,
0.002601666608825326,
-0.0013862666673958302,
-0.006615536753088236,
-0.03055860847234726,
-0.1292126625776291,
-0.02513091452419758,
-0.0005610138759948313,
0.046887949109077454,
0.013467659242451191,
0.03597644716501236,
-0.02769046276807785,
0.025730572640895844,
-0.033829525113105774,
-0.023173723369836807,
-0.014791212975978851,
0.03134579211473465,
-0.024690164253115654,
-0.03284410014748573,
-0.02204497903585434,
0.03741546347737312,
0.1136806309223175,
-0.020708248019218445,
-0.009905034676194191,
-0.024836713448166847,
-0.02849484048783779,
0.00805283710360527,
0.0038371970877051353,
0.029122455045580864,
0.025731656700372696,
0.023058919236063957,
0.011041680350899696,
-0.022279594093561172,
0.057998694479465485,
0.027457017451524734,
0.047690581530332565,
0.03323347494006157,
-0.0071396115235984325,
-0.021116487681865692,
0.00724639231339097,
-0.004562526475638151,
0.0179164819419384,
-0.02455282397568226,
0.053754907101392746,
-0.025615090504288673,
-0.004419688135385513,
0.031092818826436996,
0.008999356999993324,
-0.25761109590530396,
-0.0027611716650426388,
-0.016965189948678017,
-0.01243184506893158,
0.03348733112215996,
-0.013167626224458218,
0.04361914470791817,
-0.024169843643903732,
-0.011918298900127411,
0.026878898963332176,
-0.022261228412389755,
0.044963620603084564,
-0.01378285139799118,
0.06209397315979004,
0.06089210882782936,
0.00005643739132210612,
-0.01435509230941534,
-0.02092539332807064,
-0.024355752393603325,
-0.0014954740181565285,
-0.017296429723501205,
-0.06809522211551666,
-0.013138582929968834,
0.05213414877653122,
-0.005944431759417057,
0.042322903871536255,
-0.07806818932294846,
-0.01244981586933136,
-0.03382004797458649,
0.006783998571336269,
-0.037210557609796524,
-0.06092337518930435,
-0.011739145033061504,
0.032981131225824356,
0.008829990401864052,
-0.009305117651820183,
0.0030368471052497625,
-0.0037720270920544863,
0.02017405815422535,
0.018922846764326096,
0.008780679665505886,
-0.002868158742785454,
-0.019091885536909103,
0.030347591266036034,
0.04890069738030434,
0.018027521669864655,
-0.03015134483575821,
-0.0002430019376333803,
-0.018665028735995293,
0.04634425416588783,
-0.006717406678944826,
-0.03441086784005165,
0.003935762215405703,
0.00023387563123833388,
0.005547434091567993,
-0.02251797541975975,
-0.01040622964501381,
-0.02525073103606701,
0.025570569559931755,
0.020464228466153145,
0.004267697688192129,
-0.04714614897966385,
-0.028274595737457275,
-0.02828376181423664,
-0.01523481123149395,
-0.04625582695007324,
-0.07815864682197571,
-0.02640160545706749,
0.030378276482224464,
0.026118038222193718,
-0.002264514798298478,
0.019904296845197678,
-0.017140325158834457,
-0.09651362895965576,
-0.009273653849959373,
0.02438485622406006,
0.008839980699121952,
-0.024072108790278435,
0.0075641837902367115,
0.04636980593204498,
-0.04752327501773834,
-0.034494154155254364,
0.007443123497068882,
0.015457026660442352,
-0.00011165039177285507,
-0.006917766761034727,
0.007030463311821222,
-0.03469892963767052,
-0.0034979504998773336,
-0.036850783973932266,
0.04523352161049843,
-0.0019124543759971857,
0.047196272760629654,
-0.015210951678454876,
0.0695640817284584,
0.03898365795612335,
0.029459919780492783,
0.04124513268470764,
0.015805307775735855,
-0.021794062107801437,
0.0618523433804512,
-0.05144588276743889,
-0.029346520081162453,
-0.06308483332395554,
-0.039384469389915466,
0.013381198979914188,
-0.05955034866929054,
-0.026042113080620766,
0.008281677961349487,
-0.004029759671539068,
-0.010511078871786594,
-0.047282781451940536,
-0.031260520219802856,
-0.017085088416934013,
-0.012416679412126541,
-0.02120465785264969,
-0.0025149874854832888,
0.028096623718738556,
0.04233177378773689,
0.005347272846847773,
-0.00999053567647934,
0.04885585978627205,
-0.04070541635155678,
0.0102159408852458,
0.0003488822840154171,
0.011881575919687748,
-0.02087930403649807,
0.0075058406218886375,
0.006959741935133934,
-0.014959931373596191,
0.02982449159026146,
0.061294980347156525,
-0.0017638442805036902,
0.018582867458462715,
0.06873089075088501,
-0.0234396792948246,
-0.015086616389453411,
-0.012743507511913776,
0.04268867149949074,
-0.0022626654244959354,
0.0348438061773777,
0.013269958086311817,
0.03918939083814621,
0.012550270184874535,
0.0538194477558136,
0.030601439997553825,
0.017149051651358604,
0.0020692695397883654,
0.005877392832189798,
-0.01306476816534996,
0.0190130565315485,
-0.05937379598617554,
-0.054464150220155716,
-0.039989739656448364,
-0.013501041568815708,
-0.021532457321882248,
0.029493818059563637,
-0.042675431817770004,
0.03704729303717613,
-0.0639118179678917,
0.04066105931997299,
0.03039146587252617,
-0.05276745930314064,
0.004751512315124273,
0.01094731967896223,
0.060836635529994965,
-0.020389504730701447,
0.009387660771608353,
-0.0013426643563434482,
-0.007565211970359087,
0.01860974170267582,
-0.014107029885053635,
-0.05771702527999878,
-0.02130848541855812,
-0.02033570036292076,
0.012549208477139473,
0.016537155956029892,
-0.017314068973064423,
-0.04994457587599754,
0.04021232947707176,
-0.005183856002986431,
-0.025573687627911568,
-0.007092246785759926,
0.02635824680328369,
0.06270038336515427,
0.006153828464448452,
0.008970670402050018,
-0.011921855621039867,
-0.02711029350757599,
0.04070841521024704,
-0.00115757598541677,
0.002925950800999999,
-0.03333509713411331,
-0.037162695080041885,
-0.017846399918198586,
-0.036014482378959656,
-0.0010540898656472564,
0.05218186974525452,
-0.02125433459877968,
0.008230243809521198,
-0.001287475461140275,
-0.01910439319908619,
-0.015412114560604095,
0.01524293515831232,
0.020951135084033012,
-0.07585921138525009,
0.041526708751916885,
0.048620469868183136,
0.008413481526076794,
0.01140641886740923,
-0.009289449080824852,
-0.041362863034009933,
-0.07516267150640488,
-0.016442682594060898,
-0.0007180362590588629,
-0.004934017080813646,
-0.011014094576239586,
-0.00972786359488964,
0.00033227240783162415,
0.019075054675340652,
0.004405709449201822,
0.014901801943778992,
0.0021995592396706343,
-0.025449447333812714,
-0.016809280961751938,
0.028725821524858475,
-0.03902942314743996,
-0.005169437266886234,
-0.027290210127830505,
-0.012159007601439953,
0.011454209685325623,
-0.057462532073259354,
0.0023140667472034693,
0.04458817467093468,
0.011829814873635769,
0.021036799997091293,
-0.05906437337398529,
0.04693825542926788,
-0.028784865513443947,
-0.007972819730639458,
-0.009176510386168957,
-0.0002902215637732297,
-0.044307515025138855,
-0.008092842996120453,
-0.01813792809844017,
0.05463610589504242,
0.01752796210348606,
-0.009085265919566154,
0.0035301914904266596,
0.03825581073760986,
0.03364882990717888,
0.01909598708152771,
-0.04364722594618797,
0.016164643689990044,
0.05924643576145172,
-0.021508896723389626,
-0.032998573035001755,
-0.0802997350692749,
-0.05423023924231529,
0.011621792800724506,
-0.05449901521205902,
0.041525229811668396,
-0.014400472864508629,
0.03544551134109497,
0.04052688926458359,
0.01532729621976614,
0.026234013959765434,
-0.0358511246740818,
0.06652968376874924,
-0.03564978018403053,
0.008272780105471611,
-0.06551891565322876,
-0.00012394945952109993,
0.07657274603843689,
-0.026691053062677383,
0.02545161172747612,
-0.0010908542899414897,
-0.00011709055252140388,
0.022912513464689255,
-0.03890231251716614,
-0.08039885759353638,
0.020619116723537445,
-0.027607575058937073,
0.005283418111503124,
0.029825791716575623,
-0.028899621218442917,
-0.011236347258090973,
-0.007489379495382309,
-0.03631237894296646,
0.026244454085826874,
0.012910244055092335,
0.04008730128407478,
-0.02615499496459961,
0.026008544489741325,
-0.026792068034410477,
0.0024804905988276005,
-0.006475754547864199,
0.052526988089084625,
-0.01585153117775917,
0.03249168023467064,
-0.01661170832812786,
0.06176180765032768,
0.06087799370288849,
0.033881641924381256,
0.018407026305794716,
-0.007268696557730436,
-0.008785547688603401,
-0.06661238521337509,
0.02705155685544014,
-0.002709930529817939,
0.013732613064348698,
-0.07114247977733612,
0.03343953937292099,
0.02844480238854885,
-0.047703780233860016,
-0.038536883890628815,
0.015046924352645874,
-0.046435508877038956,
0.028769003227353096,
-0.0022365031763911247,
-0.0028665768913924694,
0.016138741746544838,
0.07388868182897568,
-0.02116190269589424,
0.025363508611917496,
0.07330959290266037,
0.014180269092321396,
0.001250264118425548,
0.0055290949530899525,
0.0667983666062355,
0.05657092109322548,
0.04075848311185837,
-0.021650951355695724,
0.08075965195894241,
-0.04901573061943054,
-0.03750971332192421,
0.020319638773798943,
0.00874682329595089,
-0.037584688514471054,
-0.06500280648469925,
0.02742338553071022,
0.09120775014162064,
0.00029308864031918347,
0.059597447514534,
-0.046563293784856796,
-0.007121962495148182,
0.030888862907886505,
-0.011250356212258339,
0.012598530389368534,
0.02237367443740368,
0.023495230823755264,
0.00030759783112443984,
-0.0478961318731308,
0.004475838504731655,
-0.019960353150963783,
-0.014716580510139465,
0.015801653265953064,
0.00811234675347805,
-0.0042377253994345665,
0.020452242344617844,
0.015224963426589966,
0.015005926601588726,
0.09166663140058517,
-0.03617754578590393,
-0.034890398383140564,
-0.0007675018860027194,
-0.005391411483287811,
0.02051055245101452,
0.04183696582913399,
0.019023003056645393,
-0.023235350847244263,
-0.012250921688973904,
-0.02767276205122471,
0.009695547632873058,
0.055024512112140656,
-0.020270733162760735,
0.009224286302924156,
-0.034814413636922836,
-0.010740135796368122,
0.014150404371321201,
-0.009963576681911945,
-0.028156016021966934,
-0.061698004603385925,
-0.03177124261856079,
-0.06720760464668274,
-0.08622874319553375,
-0.032556578516960144,
0.011950583197176456,
-0.024663710966706276,
-0.05484786257147789,
-0.005148153752088547,
-0.01770840212702751,
0.023910406976938248,
0.03958791494369507,
-0.05779455229640007,
-0.022211318835616112,
0.03593291714787483,
-0.01552389096468687,
-0.010416591539978981,
0.03749334439635277,
0.026127586141228676,
-0.0007447792449966073,
-0.031184084713459015,
0.03927328810095787,
0.002918122336268425,
0.03644583746790886,
0.0023745002690702677,
0.016593758016824722,
-0.08121548593044281,
0.027540193870663643,
0.049234144389629364,
-0.022530369460582733,
-0.0688226968050003,
0.03779164329171181,
-0.03144102171063423,
0.04845675453543663,
0.05209563300013542,
0.0017665205523371696,
-0.01146248821169138,
-0.03154502809047699,
-0.015449877828359604,
0.00569237070158124,
0.0031545504461973906,
0.046901948750019073,
-0.024250615388154984,
0.08808695524930954,
0.05665883049368858,
-0.014817212708294392,
-0.025374723598361015,
0.04617717117071152,
-0.030747409909963608,
0.041652046144008636,
-0.007694581989198923,
-0.0020422732923179865,
-0.037898510694503784,
-0.10234192758798599,
-0.03949672728776932,
-0.0012642843648791313,
-0.03101545199751854,
-0.04517129436135292,
0.03464164212346077,
-0.005913850851356983,
0.006551777478307486,
-0.0004008907708339393,
-0.03426855802536011,
-0.008155600167810917,
-0.04941193759441376,
-0.03495066240429878,
-0.062397513538599014,
0.004317091777920723,
0.012282045558094978,
-0.007052713073790073,
-0.03318285569548607,
-0.043869420886039734,
-0.011554069817066193,
0.00033624115167185664,
0.03923889994621277,
-0.015090684406459332,
0.020058337599039078,
0.017727524042129517
] | null |
560 |
Aggregation of Dependent Expert Distributions in Multimodal Variational Autoencoders
|
https://openreview.net/forum?id=jYmGi1175R
|
[
"Rogelio A. Mancisidor",
"Robert Jenssen",
"Shujian Yu",
"Michael Kampffmeyer"
] |
Poster
|
Multimodal learning with variational autoencoders (VAEs) requires estimating joint distributions to evaluate the evidence lower bound (ELBO). Current methods, the product and mixture of experts, aggregate single-modality distributions assuming independence for simplicity, which is an overoptimistic assumption. This research introduces a novel methodology for aggregating single-modality distributions by exploiting the principle of *consensus of dependent experts* (CoDE), which circumvents the aforementioned assumption. Utilizing the CoDE method, we propose a novel ELBO that approximates the joint likelihood of the multimodal data by learning the contribution of each subset of modalities. The resulting CoDE-VAE model demonstrates better performance in terms of balancing the trade-off between generative coherence and generative quality, as well as generating more precise log-likelihood estimations. CoDE-VAE further minimizes the generative quality gap as the number of modalities increases. In certain cases, it reaches a generative quality similar to that of unimodal VAEs, which is a desirable property that is lacking in most current methods. Finally, the classification accuracy achieved by CoDE-VAE is comparable to that of state-of-the-art multimodal VAE models.
|
Multimodal Learning, Product of Experts, Generative Models, Variational Autoencoders
|
Multimodal learning with VAEs where the dependence between expert distributions is taken into account.
| 13,017 |
2505.01134
|
[
0.014626330696046352,
-0.0005148841300979257,
0.002541600726544857,
0.029147708788514137,
0.028113529086112976,
0.0703304335474968,
0.04966399818658829,
-0.009213972836732864,
-0.0341399647295475,
-0.04789907857775688,
-0.017777616158127785,
0.02210209146142006,
-0.087720587849617,
-0.02062913216650486,
-0.02586994878947735,
0.044440511614084244,
0.0316040925681591,
-0.023748602718114853,
-0.016305407509207726,
0.05481305345892906,
0.0012842181604355574,
-0.028691783547401428,
0.03770269826054573,
-0.008840175345540047,
0.038473889231681824,
-0.017553377896547318,
0.012274716980755329,
-0.00027937209233641624,
-0.02135457843542099,
-0.034972816705703735,
0.01825372688472271,
0.0054827723652124405,
0.01590375415980816,
-0.01939358003437519,
-0.015598922036588192,
-0.018758894875645638,
-0.03567395359277725,
-0.00008701039041625336,
0.040103476494550705,
0.037672124803066254,
-0.03349621593952179,
-0.024494701996445656,
-0.012759081088006496,
0.01361752301454544,
-0.054125212132930756,
-0.00625593913719058,
-0.10738341510295868,
0.059075769037008286,
0.013562507927417755,
-0.030284583568572998,
-0.06520163267850876,
0.005748557858169079,
-0.00476246839389205,
-0.0068838149309158325,
-0.01201455295085907,
0.039101503789424896,
0.053039565682411194,
-0.07376785576343536,
-0.020192671567201614,
-0.06102454662322998,
-0.058808501809835434,
0.04176030308008194,
0.03771601989865303,
-0.017907198518514633,
-0.014242771081626415,
0.008172784000635147,
-0.013732174411416054,
0.050309255719184875,
-0.04087270423769951,
-0.04099729657173157,
-0.004061924293637276,
-0.021051427349448204,
-0.0010668551549315453,
-0.017369821667671204,
-0.012951788492500782,
-0.06716268509626389,
0.030120445415377617,
-0.008481942117214203,
0.04743602126836777,
-0.008837055414915085,
0.024219214916229248,
-0.005056365393102169,
0.0016951020807027817,
0.025250393897294998,
0.020012687891721725,
0.015307911671698093,
0.010941076092422009,
-0.008992856368422508,
-0.0906587466597557,
0.025492683053016663,
-0.04561268538236618,
-0.04881796985864639,
-0.008361203595995903,
0.051692694425582886,
0.004521894734352827,
0.004629184491932392,
0.05441882833838463,
0.02042561210691929,
0.01789833791553974,
-0.004788861609995365,
-0.004728381987661123,
-0.011200200766324997,
0.021016893908381462,
-0.02149372734129429,
-0.1037943959236145,
0.00458113057538867,
-0.020496860146522522,
-0.020496418699622154,
-0.022522876039147377,
-0.030449803918600082,
-0.034934546798467636,
0.00610654940828681,
0.005844969768077135,
-0.024774322286248207,
-0.057360004633665085,
0.027013495564460754,
-0.013732939027249813,
0.005796361248940229,
0.018457870930433273,
-0.013071269728243351,
0.0753260999917984,
0.053691960871219635,
0.012035568244755268,
0.08383990079164505,
-0.013080643489956856,
0.011492541991174221,
-0.0028571628499776125,
0.030994262546300888,
-0.0348830446600914,
0.00031247062725014985,
-0.007899494841694832,
-0.0024705305695533752,
-0.0002754748275037855,
0.0231762882322073,
0.006332188844680786,
0.007743177004158497,
0.009532696567475796,
0.029474429786205292,
0.04193917661905289,
-0.003692010184749961,
-0.031181922182440758,
-0.027452968060970306,
0.05077090114355087,
-0.0367768220603466,
0.09848009049892426,
-0.007894238457083702,
-0.016960181295871735,
-0.03470654413104057,
-0.029472438618540764,
0.003655105596408248,
0.012660903856158257,
-0.011836023069918156,
-0.0006414816016331315,
-0.06768106669187546,
0.003371704136952758,
0.05016463249921799,
0.03667845577001572,
0.008974316529929638,
0.024836936965584755,
0.010755358263850212,
0.011001305654644966,
-0.003292393172159791,
-0.013244141824543476,
0.03502730652689934,
-0.005007531493902206,
-0.04718563333153725,
0.01970013603568077,
0.033800460398197174,
-0.06155594065785408,
-0.005796463694423437,
-0.03955884277820587,
-0.03537175804376602,
0.044788215309381485,
0.0021546962670981884,
-0.04703165963292122,
0.0009765083086676896,
0.07054606825113297,
0.021423054859042168,
0.06428961455821991,
0.017471300438046455,
-0.08802527189254761,
0.03053729422390461,
0.018990537151694298,
-0.01844288967549801,
0.02405429817736149,
-0.02471235580742359,
0.09075257182121277,
-0.034017253667116165,
-0.006558974273502827,
0.051243651658296585,
-0.04638149216771126,
-0.0077381981536746025,
0.04028230905532837,
-0.01670447736978531,
0.060499511659145355,
0.030013911426067352,
-0.03529715910553932,
0.042853761464357376,
0.04192681983113289,
0.033197082579135895,
0.03199325501918793,
-0.029432568699121475,
0.07049521803855896,
0.011634076945483685,
-0.01828562468290329,
0.04149467498064041,
0.06153978407382965,
-0.055330194532871246,
-0.021798625588417053,
0.016122812405228615,
-0.039920561015605927,
0.00548275513574481,
-0.008404196240007877,
0.005005029495805502,
0.013236339204013348,
0.013138390146195889,
0.0016827465733513236,
0.006483582314103842,
0.008516481146216393,
-0.026843560859560966,
0.04184652864933014,
0.0147746866568923,
-0.012504249811172485,
0.006766567938029766,
0.0027074976824223995,
0.0919393002986908,
0.07021001726388931,
-0.04662955552339554,
-0.020734842866659164,
0.00781732052564621,
0.011342063546180725,
0.026248598471283913,
0.01746661774814129,
-0.00707247294485569,
0.009898514486849308,
-0.028415990993380547,
0.02441992796957493,
-0.018966831266880035,
0.04022216796875,
-0.04667007178068161,
-0.009388408623635769,
0.07363762706518173,
-0.009379073046147823,
0.01960310898721218,
-0.05269118770956993,
0.013255077414214611,
0.06741096079349518,
0.0064060320146381855,
-0.0021212142892181873,
0.018858157098293304,
-0.021979007869958878,
-0.00016120487998705357,
-0.01712137833237648,
-0.007199656218290329,
0.018480731174349785,
-0.048661548644304276,
0.011180299334228039,
-0.01863645762205124,
0.03576832637190819,
0.03658059239387512,
0.030374489724636078,
0.03664291277527809,
0.00044114829506725073,
-0.0440378375351429,
-0.01450415886938572,
-0.10404743999242783,
-0.06744939088821411,
-0.025666983798146248,
0.018197212368249893,
-0.016915583983063698,
0.06592213362455368,
0.032291170209646225,
0.02889971062541008,
-0.02157042734324932,
0.0165337435901165,
0.02807113155722618,
0.019188476726412773,
0.0430532768368721,
-0.015592259354889393,
-0.01331056747585535,
-0.006478489376604557,
0.0500611811876297,
0.017319215461611748,
-0.03384370356798172,
-0.03439243137836456,
-0.06504940986633301,
-0.01647832803428173,
-0.05022814869880676,
-0.011856435798108578,
0.02433815225958824,
0.039632782340049744,
0.0021873258519917727,
-0.015553436242043972,
0.029121296480298042,
0.022489061579108238,
0.024429358541965485,
0.0597030334174633,
0.014878869988024235,
-0.02858683653175831,
0.02705354057252407,
-0.007482537534087896,
0.01771117001771927,
-0.018299099057912827,
-0.043768834322690964,
-0.012261932715773582,
-0.023894773796200752,
-0.00881901104003191,
0.007638097275048494,
-0.2632078230381012,
0.00020533798669930547,
0.020242512226104736,
-0.02939755655825138,
0.05007017031311989,
-0.0036871852353215218,
0.032416932284832,
-0.052928339689970016,
-0.029859136790037155,
0.017352867871522903,
0.037792518734931946,
0.027646051719784737,
0.014199307188391685,
0.05657387897372246,
0.04322345182299614,
0.019184555858373642,
-0.031491149216890335,
-0.009235004894435406,
0.04587383195757866,
0.034137655049562454,
-0.013021963648498058,
-0.06468848139047623,
-0.030083777382969856,
0.018993621692061424,
-0.014784873463213444,
0.027906566858291626,
-0.05616014078259468,
-0.019468406215310097,
-0.022846531122922897,
0.0019252387573942542,
-0.010762292891740799,
-0.016979513689875603,
0.006439638789743185,
0.050512898713350296,
-0.004415801726281643,
-0.0022674119099974632,
0.03195379674434662,
-0.029588228091597557,
0.008669627830386162,
0.02072116918861866,
0.01212387252599001,
-0.007360309362411499,
-0.01883145608007908,
-0.00343935564160347,
0.04723375663161278,
0.006214073393493891,
-0.015475661493837833,
0.01634514145553112,
-0.018146276473999023,
0.03761456906795502,
-0.0038450760766863823,
-0.0214519239962101,
-0.02292639948427677,
0.007697591558098793,
-0.008938966318964958,
-0.021862059831619263,
0.016398435458540916,
0.00912412442266941,
0.008143935352563858,
0.010384118184447289,
-0.01587255671620369,
-0.06049073114991188,
0.020989257842302322,
-0.04771149158477783,
0.011223732493817806,
-0.024818269535899162,
-0.037565719336271286,
-0.06451153755187988,
0.06525151431560516,
0.007353229448199272,
-0.009703544899821281,
-0.004177902825176716,
-0.04513581097126007,
-0.10083392262458801,
0.024717839434742928,
-0.007291375193744898,
0.003068429185077548,
-0.03007732518017292,
-0.009432932361960411,
0.03399857133626938,
-0.03616081923246384,
-0.051546815782785416,
0.03283986076712608,
0.0038393267896026373,
-0.010710853151977062,
-0.01723150536417961,
0.00962263997644186,
-0.002719100099056959,
-0.001695625833235681,
-0.0298031996935606,
0.05263837054371834,
0.01677851192653179,
0.02747669629752636,
0.03290143609046936,
0.03866582363843918,
0.049473050981760025,
0.044167134910821915,
0.02866150252521038,
0.03148137405514717,
0.0069071161560714245,
0.017559662461280823,
-0.1021139994263649,
-0.004661337472498417,
-0.05725318193435669,
-0.04783474653959274,
0.03385121002793312,
-0.05827854573726654,
-0.02300090529024601,
0.033217258751392365,
0.031138146296143532,
-0.03954267501831055,
-0.03874638304114342,
0.033375732600688934,
-0.001599263632670045,
0.012274208478629589,
-0.0034073544666171074,
0.002807548036798835,
0.012254903092980385,
0.03522595390677452,
-0.011179253458976746,
-0.003468942828476429,
0.023747678846120834,
-0.025817539542913437,
-0.008141054771840572,
-0.008534722030162811,
-0.013968382030725479,
-0.03080480545759201,
-0.02338307909667492,
-0.0207667276263237,
0.0017777958419173956,
0.06605419516563416,
0.047969430685043335,
0.0008382663945667446,
0.01753554306924343,
0.047531627118587494,
0.011117079295217991,
-0.03530806675553322,
-0.04220444709062576,
0.0245942622423172,
-0.0472545400261879,
0.023753846064209938,
-0.0354735367000103,
0.020112542435526848,
0.02005603350698948,
-0.008767287246882915,
-0.011217009276151657,
0.03559127077460289,
0.011371990665793419,
-0.017089972272515297,
-0.015587476082146168,
0.047079164534807205,
-0.05462917312979698,
-0.05823037028312683,
0.001993888756260276,
-0.013773929327726364,
-0.021603848785161972,
0.0013400770258158445,
-0.012998688966035843,
0.02042333409190178,
-0.06216536462306976,
0.03179007023572922,
-0.004243964329361916,
-0.01812433823943138,
-0.016466716304421425,
0.03975144401192665,
0.05128190666437149,
-0.017506148666143417,
-0.013949587941169739,
0.0031857206486165524,
0.023188594728708267,
-0.008536804467439651,
-0.040213603526353836,
-0.033499233424663544,
-0.050587039440870285,
-0.004044920671731234,
0.01463819108903408,
-0.024425577372312546,
-0.026625217869877815,
-0.05439954996109009,
0.033268868923187256,
0.035262178629636765,
-0.01971762254834175,
0.02103503793478012,
-0.011711024679243565,
0.06975411623716354,
0.010859059169888496,
-0.012618185952305794,
-0.04070884734392166,
-0.030991192907094955,
0.06732434034347534,
-0.0061892676167190075,
0.020582012832164764,
-0.037722982466220856,
-0.008095130324363708,
-0.03707065433263779,
-0.04770904779434204,
-0.005733313038945198,
0.03111262246966362,
-0.01401385199278593,
-0.011690843850374222,
-0.00406465120613575,
0.020247582346200943,
-0.04866059124469757,
-0.004203591495752335,
0.019027970731258392,
-0.05487506091594696,
0.025133786723017693,
0.013640213757753372,
-0.0509643480181694,
-0.001238968805409968,
-0.010856890119612217,
-0.045317333191633224,
-0.09950439631938934,
-0.010383157059550285,
0.011581688188016415,
-0.026196442544460297,
-0.018086422234773636,
-0.00620253523811698,
0.003933962434530258,
-0.023252999410033226,
-0.013321765698492527,
-0.02300131693482399,
-0.022409873083233833,
-0.002145558362826705,
0.01510968990623951,
0.047053948044776917,
-0.010619964450597763,
-0.00896469410508871,
0.02433842420578003,
-0.02334565855562687,
0.00015002522559370846,
-0.057881005108356476,
-0.028373977169394493,
0.06168415769934654,
-0.02125752530992031,
0.009139088913798332,
-0.03150911629199982,
0.02821573056280613,
0.009276730939745903,
-0.030374178662896156,
0.017250414937734604,
0.030922647565603256,
-0.029251186177134514,
0.017786383628845215,
0.01701647974550724,
0.029843900352716446,
-0.016209160909056664,
-0.006292218342423439,
0.03257203474640846,
0.02919118106365204,
0.07898097485303879,
-0.008354985155165195,
-0.06098489835858345,
0.02894400991499424,
0.067950040102005,
-0.025169281288981438,
-0.0388014018535614,
-0.07012216001749039,
-0.03886844590306282,
0.02821904979646206,
0.01763797365128994,
-0.005316199269145727,
0.017286647111177444,
-0.008621337823569775,
0.01440834254026413,
0.010356840677559376,
-0.016028787940740585,
-0.024323223158717155,
0.04555568844079971,
-0.07334432750940323,
0.030480727553367615,
-0.06530334800481796,
-0.005655967630445957,
0.04568647965788841,
-0.04153519496321678,
0.006687109358608723,
0.0014821924269199371,
-0.035461802035570145,
0.06065582484006882,
-0.018367547541856766,
-0.04582366347312927,
0.016275646165013313,
-0.046876613050699234,
-0.0037955683656036854,
0.014869263395667076,
-0.058025456964969635,
0.013471555896103382,
-0.013596804812550545,
-0.06198679655790329,
-0.0002232189872302115,
0.015448611229658127,
0.04042646288871765,
0.011469635181128979,
0.01771305315196514,
-0.0277329683303833,
0.009085402823984623,
0.04261505976319313,
0.06638799607753754,
0.03471876308321953,
0.019555168226361275,
-0.02362063154578209,
0.08144280314445496,
0.007084301672875881,
0.014345336705446243,
0.022133132442831993,
0.02396279014647007,
-0.0285643357783556,
-0.052481189370155334,
0.035799380391836166,
-0.02218521572649479,
-0.03708740696310997,
-0.07045342773199081,
0.07084931433200836,
0.059662722051143646,
-0.05045965313911438,
-0.015342473052442074,
0.039304692298173904,
-0.0705769881606102,
-0.009255594573915005,
-0.00926182046532631,
-0.00006356158701237291,
-0.012383861467242241,
0.09530872851610184,
0.007450586650520563,
0.039314959198236465,
0.03545711189508438,
0.015222502872347832,
0.012845437042415142,
0.008200223557651043,
0.05910908058285713,
0.0553024522960186,
0.02817952260375023,
0.0034346668981015682,
0.07598990201950073,
-0.027845775708556175,
-0.057241566479206085,
0.03471411019563675,
0.029705418273806572,
-0.037423256784677505,
-0.04567408189177513,
-0.012578317895531654,
0.08582069724798203,
0.03248842805624008,
0.07978572696447372,
-0.06268014013767242,
-0.026105741038918495,
0.0447295606136322,
-0.013689338229596615,
-0.009985986165702343,
0.007406854070723057,
0.050799015909433365,
-0.00021469716739375144,
0.002484895521774888,
-0.011797270737588406,
-0.017487380653619766,
-0.023893041536211967,
0.020351290702819824,
0.006928153336048126,
0.006147700361907482,
0.01777031272649765,
0.005928238853812218,
0.044674359261989594,
0.07627591490745544,
-0.027910243719816208,
-0.03804551064968109,
-0.008254056796431541,
0.00499613955616951,
0.0015671269502490759,
0.042561955749988556,
-0.012460175901651382,
-0.015503213740885258,
0.014302082359790802,
-0.042028553783893585,
0.05067403241991997,
0.0256536602973938,
0.020975526422262192,
0.029604123905301094,
-0.01170459296554327,
-0.03884550556540489,
0.021943213418126106,
0.03549107909202576,
-0.009786861948668957,
-0.03790636733174324,
-0.0147336320951581,
-0.04347199574112892,
-0.05188357084989548,
-0.037308063358068466,
0.038372717797756195,
0.04042492061853409,
0.004833612125366926,
0.00531740253791213,
-0.0037555149756371975,
0.018353529274463654,
0.049803540110588074,
-0.07878538966178894,
-0.018928103148937225,
0.05331173166632652,
-0.026171855628490448,
0.006034899037331343,
0.026428036391735077,
0.025909997522830963,
0.001619568094611168,
-0.028266344219446182,
0.04414593055844307,
0.02167501114308834,
0.008104080334305763,
-0.0030231918208301067,
-0.00896935909986496,
-0.095162034034729,
0.021921444684267044,
-0.004277273081243038,
-0.033862777054309845,
-0.08862826228141785,
0.03698337450623512,
-0.03756645694375038,
0.013504080474376678,
0.08986049890518188,
0.016104325652122498,
0.01988583616912365,
-0.05235185846686363,
-0.01160198450088501,
-0.01029900275170803,
0.022795576602220535,
0.049674589186906815,
0.0010396790457889438,
0.0732739195227623,
0.024790950119495392,
-0.015430175699293613,
-0.045032430440187454,
0.024119915440678596,
-0.0384882390499115,
-0.0005694854771718383,
-0.009422429837286472,
-0.04169216379523277,
-0.022073812782764435,
-0.11122050136327744,
-0.03967772051692009,
0.02040741965174675,
-0.008482242934405804,
-0.03783061355352402,
-0.03693176433444023,
-0.019912147894501686,
-0.039804548025131226,
-0.010909069329500198,
-0.0045502991415560246,
-0.02456468716263771,
-0.002000510459765792,
-0.03689013421535492,
-0.05474678799510002,
0.01766645908355713,
-0.02663807012140751,
0.01025769580155611,
-0.03263556957244873,
-0.03593213111162186,
-0.029126057401299477,
-0.010886242613196373,
0.02520703710615635,
0.03199496865272522,
0.04167500138282776,
0.002861171029508114
] |
https://github.com/rogelioamancisidor/codevae
|
561 |
TopInG: Topologically Interpretable Graph Learning via Persistent Rationale Filtration
|
https://openreview.net/forum?id=u4LlYWJHUF
|
[
"Cheng Xin",
"Fan Xu",
"Xin Ding",
"Jie Gao",
"Jiaxin Ding"
] |
Poster
|
Graph Neural Networks (GNNs) have shown remarkable success across various scientific fields,
yet their adoption in critical decision-making is often hindered by a lack of interpretability. Recently,
intrinsic interpretable GNNs have been studied to provide insights into model predictions by identifying rationale substructures in graphs. However, existing methods face challenges when the underlying rationale subgraphs are complex and varied. In this work, we propose TopInG: Topologically Interpretable Graph Learning, a novel topological framework that leverages persistent homology to identify persistent rationale subgraphs. TopInG employs a rationale filtration learning approach to model an autoregressive generating process of rationale subgraphs, and introduces a self-adjusted topological constraint, termed topological discrepancy, to enforce a persistent topological distinction between rationale subgraphs and irrelevant counterparts. We provide theoretical guarantees that our loss function is uniquely optimized by the ground truth under specific conditions. Extensive experiments demonstrate TopInG's effectiveness in tackling key challenges, such as handling variform rationale subgraphs, balancing predictive performance with interpretability, and mitigating spurious correlations. Results show that our approach improves upon state-of-the-art
methods on both predictive accuracy and interpretation quality.
|
XAI, XGNN, Graph Representation, Graph Neural Networks, Topological Data Analysis, TDA, Persistent Homology, Interpretable GNN, Explainable GNN, Topological Discrepancy
|
A topologically interpretable GNN with a novel topological discrepancy loss is proved to be uniquely optimized by ground truth.
| 13,016 | null |
[
-0.00972821470350027,
-0.005727111361920834,
-0.012773090973496437,
0.04525201767683029,
0.012373413890600204,
0.009865129366517067,
0.01354132778942585,
-0.005588033236563206,
-0.006379395257681608,
-0.0492633655667305,
0.002878765342757106,
-0.018149064853787422,
-0.07938241213560104,
0.0329258032143116,
0.03908858820796013,
0.04014704003930092,
0.03911719098687172,
0.002396492986008525,
-0.016735205426812172,
-0.008762742392718792,
0.005404612515121698,
-0.0056671081110835075,
-0.00931121688336134,
0.0005518161924555898,
0.06041920185089111,
-0.005128092132508755,
0.0033985930494964123,
-0.02046513743698597,
0.017081275582313538,
0.03790413215756416,
0.045807018876075745,
-0.01717573218047619,
0.017716852948069572,
-0.025639044120907784,
-0.002317937556654215,
0.002409332897514105,
-0.03721285238862038,
-0.0012512324610725045,
0.007767420262098312,
-0.009473160840570927,
-0.05165396258234978,
0.027224581688642502,
0.03505625203251839,
0.04342978820204735,
-0.03026719205081463,
0.019363444298505783,
-0.07861470431089401,
0.05756088346242905,
0.011423557996749878,
-0.03880966827273369,
-0.07452655583620071,
0.05522990971803665,
0.03868934512138367,
-0.005961510352790356,
-0.02384018711745739,
0.04840048775076866,
0.053029246628284454,
-0.05536616966128349,
-0.0024295805487781763,
-0.05301164090633392,
-0.03659823536872864,
0.0597950778901577,
0.029842356219887733,
0.018741589039564133,
-0.03713778778910637,
-0.0013643093407154083,
-0.008352355100214481,
0.04599783942103386,
-0.041931215673685074,
-0.02240053378045559,
-0.01771523803472519,
0.012516315095126629,
-0.004501891788095236,
0.02911376953125,
0.01197607908397913,
-0.026903457939624786,
-0.028291985392570496,
0.008241112343966961,
0.058688655495643616,
-0.01619698293507099,
-0.007551887538284063,
0.08203497529029846,
0.005735435057431459,
0.023849554359912872,
0.01721063256263733,
0.007147990632802248,
-0.06972043216228485,
-0.04810306429862976,
-0.1169811487197876,
0.03676268458366394,
-0.03528297692537308,
-0.0555657260119915,
0.0012818054528906941,
0.023378761485219002,
0.011566034518182278,
-0.027983136475086212,
0.030940208584070206,
-0.0032538375817239285,
0.0393403060734272,
-0.030392244458198547,
-0.02955632098019123,
-0.03895794227719307,
0.0003118639870081097,
0.0025860080495476723,
-0.09343641251325607,
-0.03909401595592499,
-0.039865098893642426,
-0.002063514431938529,
-0.01909584179520607,
-0.01841617561876774,
-0.057410046458244324,
-0.026567164808511734,
0.0194101519882679,
0.008912108838558197,
-0.053235869854688644,
0.04616794362664223,
0.01145139429718256,
0.0005557038239203393,
-0.015700867399573326,
0.014331628568470478,
0.021991634741425514,
0.026252688840031624,
-0.008160152472555637,
0.08105210214853287,
-0.017492225393652916,
0.007740678731352091,
0.0015789648750796914,
0.015905534848570824,
-0.03440940007567406,
-0.042407482862472534,
0.00877238530665636,
0.04046933352947235,
-0.019285541027784348,
-0.011901073157787323,
0.008331998251378536,
-0.03169297054409981,
0.016934994608163834,
-0.005032858345657587,
0.024966301396489143,
-0.024830743670463562,
-0.0064552160911262035,
-0.031018700450658798,
0.03464863449335098,
-0.036364395171403885,
0.09296511113643646,
-0.03307590261101723,
-0.0252621341496706,
-0.01052901055663824,
-0.029552029445767403,
-0.015847591683268547,
0.01549755223095417,
0.010359265841543674,
-0.019377687945961952,
-0.022774092853069305,
0.01651359535753727,
0.04970734566450119,
0.022208521142601967,
0.03624217212200165,
0.013638756237924099,
0.010941384360194206,
0.027086209505796432,
0.0075352550484240055,
0.003434270853176713,
0.062007512897253036,
-0.0015311763854697347,
-0.07705103605985641,
0.018471933901309967,
0.04592527449131012,
-0.04596851393580437,
0.01108103059232235,
-0.0325535349547863,
-0.0483982153236866,
0.047745589166879654,
-0.026660526171326637,
0.0009247301495634019,
0.009002781473100185,
0.04753931984305382,
-0.035813599824905396,
0.021483920514583588,
0.0240669883787632,
-0.09281309694051743,
0.04520906135439873,
0.004387511871755123,
-0.020552290603518486,
-0.015440431423485279,
-0.023788893595337868,
0.06252902746200562,
-0.038581766188144684,
0.040149569511413574,
0.000881352461874485,
-0.05927514657378197,
0.0017729001119732857,
0.03887761011719704,
-0.014853393658995628,
0.06432346254587173,
0.03728790581226349,
0.007538377307355404,
0.03915005922317505,
0.017609791830182076,
0.048024605959653854,
0.031726688146591187,
-0.018389524891972542,
0.04295029118657112,
-0.009811862371861935,
-0.021759238094091415,
-0.00809942465275526,
0.02718416042625904,
-0.06357657164335251,
-0.03638814762234688,
0.022520460188388824,
-0.004370406735688448,
-0.0107294712215662,
0.018480435013771057,
-0.028699202463030815,
0.01663038693368435,
0.010714798234403133,
-0.0281769298017025,
0.01461967546492815,
0.019651170819997787,
-0.03371318429708481,
0.025929061695933342,
-0.012468044646084309,
-0.034189946949481964,
-0.009893786162137985,
-0.057483769953250885,
0.10044358670711517,
0.06483351439237595,
-0.023119932040572166,
-0.01259511150419712,
0.04283098503947258,
0.02546386979520321,
0.030908068642020226,
0.019261157140135765,
-0.049211494624614716,
0.019392089918255806,
-0.02840014360845089,
0.0018992399564012885,
-0.01170655433088541,
0.0392494797706604,
-0.05165084823966026,
0.005827080458402634,
0.052762724459171295,
-0.020498039200901985,
0.03458355739712715,
0.01946280524134636,
0.024825531989336014,
0.05828431248664856,
-0.003649397986009717,
-0.04355832561850548,
-0.01655416190624237,
-0.015809131786227226,
0.005148471798747778,
0.000706318358425051,
-0.0013950038701295853,
0.014815637841820717,
-0.049496740102767944,
-0.013544047251343727,
0.005151499528437853,
0.06491907685995102,
0.07465141266584396,
0.042607784271240234,
-0.015233476646244526,
-0.04011334106326103,
-0.04557197913527489,
-0.030200431123375893,
-0.11154387146234512,
-0.02766234055161476,
-0.011738828383386135,
0.058973077684640884,
-0.016354363411664963,
0.05927259847521782,
-0.034949108958244324,
0.010230320505797863,
-0.01622917316854,
-0.03981664404273033,
0.022903716191649437,
0.02513604424893856,
0.01655157096683979,
-0.05298621580004692,
0.00019630459428299218,
0.022799648344516754,
0.057614825665950775,
-0.005220506805926561,
-0.03981281444430351,
-0.04815296456217766,
-0.042515259236097336,
0.009949092753231525,
-0.005886371247470379,
-0.014215617440640926,
0.012934713624417782,
0.04652547836303711,
0.04672769084572792,
-0.007612580433487892,
-0.0096626291051507,
0.021361693739891052,
0.05776909738779068,
0.05035458132624626,
0.008372015319764614,
-0.008233930915594101,
-0.002920411294326186,
-0.00014844851102679968,
0.03974372148513794,
0.011744456365704536,
0.02493230253458023,
0.007705564610660076,
0.017018351703882217,
0.03022599034011364,
0.00002473483436915558,
-0.25894197821617126,
-0.03973473235964775,
0.007776855491101742,
-0.04276477172970772,
0.022228900343179703,
-0.022439192980527878,
0.011498027481138706,
-0.01880890130996704,
-0.022429317235946655,
-0.03862953931093216,
0.03179647773504257,
0.007882678881287575,
-0.017797473818063736,
0.03379565477371216,
0.05191512778401375,
0.018109915778040886,
0.005211705807596445,
-0.012727859430015087,
0.008507775142788887,
0.0436016321182251,
-0.01899833232164383,
-0.07292943447828293,
-0.048923201858997345,
0.03787607327103615,
-0.04293905943632126,
0.027599580585956573,
-0.09757448732852936,
-0.04959215596318245,
-0.05345386266708374,
-0.005936587695032358,
-0.005939092952758074,
-0.0362154021859169,
-0.007929228246212006,
0.04753931984305382,
-0.004961836617439985,
-0.0009333585621789098,
0.019894476979970932,
-0.024929579347372055,
0.009506285190582275,
0.0290855560451746,
-0.000029155869924579747,
0.012477237731218338,
-0.027001215144991875,
0.025212740525603294,
0.05966178700327873,
-0.01310674287378788,
-0.024978801608085632,
-0.019464002922177315,
-0.0014069739263504744,
0.04530131444334984,
0.0029077723156660795,
0.011827423237264156,
-0.0018772068433463573,
-0.01826944574713707,
0.01434104610234499,
-0.0410371795296669,
0.007448382675647736,
-0.03552234172821045,
-0.03105352632701397,
0.006845563184469938,
-0.011769137345254421,
-0.058716654777526855,
0.023053929209709167,
-0.020412780344486237,
-0.032479509711265564,
-0.03401728346943855,
-0.09641053527593613,
-0.06355516612529755,
-0.00474710576236248,
0.03308732062578201,
0.02638368308544159,
0.07529329508543015,
-0.02367599867284298,
-0.08921191841363907,
0.013872334733605385,
-0.005063905380666256,
-0.0018802955746650696,
-0.03045162931084633,
0.026932815089821815,
0.014435443095862865,
-0.028157655149698257,
0.0013391902903094888,
-0.035715579986572266,
0.028679819777607918,
0.021693425253033638,
0.005335164722055197,
0.02991223707795143,
-0.02582845650613308,
-0.06334269046783447,
-0.026840515434741974,
0.018387820571660995,
0.0030542758759111166,
0.05773121863603592,
0.0019942172802984715,
0.034882500767707825,
0.06135805323719978,
0.023326698690652847,
0.05672601982951164,
0.05026082694530487,
-0.0013403109041973948,
0.054906245321035385,
-0.06473960727453232,
-0.009324976243078709,
-0.012221296317875385,
-0.08297291398048401,
-0.003298673778772354,
-0.044865090399980545,
-0.007735481485724449,
0.04979893937706947,
0.009018335491418839,
-0.03786448761820793,
-0.037799205631017685,
0.021823592483997345,
-0.01368443202227354,
-0.007744976785033941,
-0.02035086415708065,
-0.003709065029397607,
0.030728615820407867,
0.043880682438611984,
-0.023489661514759064,
-0.012948249466717243,
0.05160247161984444,
-0.0065976521000266075,
0.027710234746336937,
-0.02490927278995514,
-0.006824676413089037,
-0.010593359358608723,
-0.020192263647913933,
0.013171598315238953,
0.03264942020177841,
0.027594339102506638,
0.06391798704862595,
-0.018618039786815643,
0.020734330639243126,
0.06014757603406906,
-0.024067359045147896,
-0.01228516548871994,
-0.010285133495926857,
0.02243802882730961,
-0.050326548516750336,
0.03480078652501106,
0.010089509189128876,
0.06794479489326477,
-0.0003168656548950821,
0.019207842648029327,
0.014745245687663555,
0.0019072978757321835,
0.02551003359258175,
0.02333655208349228,
-0.0034187673591077328,
0.014011893421411514,
-0.03553716465830803,
-0.02091316506266594,
-0.04096025228500366,
0.045834776014089584,
0.004893976729363203,
0.03736342489719391,
-0.0046002743765711784,
-0.018030690029263496,
-0.04279477149248123,
0.05554277077317238,
-0.011160825379192829,
-0.006578114349395037,
-0.017263241112232208,
0.0001663663424551487,
0.056852564215660095,
-0.023785967379808426,
-0.013435769826173782,
0.00034900501486845315,
-0.007171789649873972,
-0.003982933703809977,
-0.0029124694410711527,
0.0042487140744924545,
0.01640993542969227,
-0.024858519434928894,
-0.014896671287715435,
-0.0034053565468639135,
-0.0024882913567125797,
-0.02996131032705307,
0.03101709485054016,
-0.014582226052880287,
-0.03237179294228554,
0.009959174320101738,
0.00879953894764185,
0.08260972797870636,
0.01825077086687088,
0.01976911909878254,
-0.0064809429459273815,
-0.028475994244217873,
0.03903971612453461,
-0.0012243542587384582,
0.02071375958621502,
-0.07641073316335678,
-0.033881641924381256,
-0.016894031316041946,
-0.05013064667582512,
0.020770950242877007,
0.008786969818174839,
-0.03508526831865311,
-0.021243078634142876,
-0.01610180176794529,
0.004750360734760761,
-0.030220774933695793,
0.008245331235229969,
0.069130539894104,
-0.053069211542606354,
-0.012846854515373707,
0.04231255501508713,
0.0255146324634552,
0.032995183020830154,
-0.011848853901028633,
-0.04562059044837952,
-0.059125468134880066,
-0.05349469929933548,
0.04694466292858124,
0.003896197071298957,
0.004397728946059942,
-0.011733324266970158,
-0.001911231316626072,
0.013178041204810143,
0.018282795324921608,
0.004971494898200035,
0.0031587285920977592,
-0.05020787939429283,
0.02031601592898369,
0.0932033434510231,
-0.006916001904755831,
-0.013184667564928532,
-0.004861099179834127,
-0.007702141534537077,
0.0018943172181025147,
-0.02280442789196968,
0.02176005393266678,
0.03666877746582031,
-0.006122100166976452,
0.013386979699134827,
-0.04378999397158623,
0.06564830243587494,
-0.018647365272045135,
-0.013464733958244324,
-0.008182280696928501,
-0.0020656457636505365,
-0.022211026400327682,
-0.01540072076022625,
-0.02963961288332939,
0.021656064316630363,
0.03565172106027603,
0.017692239955067635,
0.028554217889904976,
-0.002351821633055806,
0.017600558698177338,
-0.005639768671244383,
-0.03678738698363304,
-0.02782546915113926,
0.015473471023142338,
-0.0017377914628013968,
-0.05037722364068031,
-0.04232444986701012,
0.01242141518741846,
0.011740069836378098,
-0.01918950304389,
0.00292430492118001,
0.007834936492145061,
0.025137364864349365,
0.009311964735388756,
0.04358514025807381,
-0.014408711344003677,
0.0031667205039411783,
0.05602409318089485,
-0.02398046851158142,
0.013261813670396805,
-0.06149311363697052,
-0.000540601322427392,
0.03313912823796272,
-0.03261599317193031,
-0.004722465295344591,
0.016355525702238083,
-0.007659127935767174,
0.017611995339393616,
-0.009303411468863487,
-0.08265305310487747,
0.01872066967189312,
-0.013836944475769997,
0.03579920157790184,
0.024823501706123352,
-0.040909457951784134,
-0.018128253519535065,
-0.01216668076813221,
-0.05599214881658554,
-0.019645879045128822,
-0.00019176831119693816,
0.033581193536520004,
-0.01876552775502205,
-0.011359146796166897,
-0.007920854724943638,
0.0366566926240921,
0.0184488482773304,
0.07494040578603745,
0.03760472312569618,
0.026030732318758965,
-0.044438764452934265,
0.06197283789515495,
0.03992212936282158,
0.017046373337507248,
-0.011431620456278324,
0.028321288526058197,
-0.033837419003248215,
-0.05589162930846214,
0.04730681702494621,
-0.01135688740760088,
-0.008644551038742065,
-0.08292568475008011,
0.06013551726937294,
-0.011255019344389439,
-0.027402212843298912,
0.018394188955426216,
-0.007456296589225531,
-0.03950329124927521,
-0.000321587169310078,
0.032996274530887604,
0.03279824182391167,
0.021382451057434082,
0.06827561557292938,
-0.006175187882035971,
0.06770902127027512,
0.06122040003538132,
0.03467760235071182,
0.00913621112704277,
-0.020113494247198105,
0.08703354001045227,
0.08247943967580795,
0.004376999568194151,
0.003557533724233508,
0.06500862538814545,
-0.06564950942993164,
-0.03173745051026344,
-0.0012396220117807388,
0.02569320797920227,
-0.028598809614777565,
-0.035609547048807144,
0.018747270107269287,
0.05422350391745567,
0.005167840048670769,
0.08047685772180557,
-0.036936357617378235,
0.014371344819664955,
0.07524965703487396,
-0.012979193590581417,
-0.010731794871389866,
0.03197358548641205,
0.02225787565112114,
-0.001323893666267395,
-0.03931956738233566,
-0.0047306884080171585,
-0.03322087973356247,
-0.021183926612138748,
0.014905501157045364,
0.015870191156864166,
-0.026790907606482506,
0.01639951579272747,
0.029517676681280136,
0.029506949707865715,
0.11092610657215118,
-0.027981936931610107,
-0.044931210577487946,
0.03272043913602829,
0.01301520224660635,
0.01351215224713087,
0.036269571632146835,
0.004423000384122133,
-0.005813690833747387,
-0.003163900226354599,
-0.018184510990977287,
0.010211043991148472,
0.006041976623237133,
-0.014442055486142635,
0.006124306935817003,
-0.026603082194924355,
-0.041613832116127014,
-0.0010049681877717376,
0.017014155164361,
-0.029775332659482956,
-0.06915391981601715,
-0.01309057418256998,
-0.053126685321331024,
-0.07183602452278137,
-0.07938054203987122,
0.016426634043455124,
-0.019060298800468445,
-0.019224556162953377,
0.0002393156464677304,
0.007699882611632347,
-0.011603626422584057,
0.03247956559062004,
-0.04833836108446121,
0.005287478677928448,
0.042277783155441284,
0.026067838072776794,
-0.005098219495266676,
0.016928767785429955,
0.007906140759587288,
-0.04071604460477829,
-0.01603780686855316,
0.04216767102479935,
0.0025587163399904966,
0.011813278310000896,
-0.010478431358933449,
-0.032048001885414124,
-0.09892717003822327,
0.002732877153903246,
-0.0027631011325865984,
-0.05250050500035286,
-0.09394340962171555,
0.033091507852077484,
-0.0006875453982502222,
0.009311338886618614,
0.06474827229976654,
0.03579924255609512,
-0.00823394488543272,
-0.0417570099234581,
0.016080932691693306,
0.023655064404010773,
-0.0019734890665858984,
0.06151624768972397,
-0.06866949796676636,
0.054368216544389725,
0.03771184757351875,
-0.0319691002368927,
0.02214621938765049,
0.028741031885147095,
0.0006479009753093123,
-0.0011444836854934692,
-0.004012854769825935,
-0.020196348428726196,
-0.015552666038274765,
-0.09279262274503708,
-0.04238433018326759,
0.01694166660308838,
-0.028599701821804047,
-0.0024538026191294193,
-0.01671881228685379,
-0.015497343614697456,
-0.019673263654112816,
-0.0007444327347911894,
-0.026622628793120384,
0.008801979944109917,
-0.007129655219614506,
-0.048578981310129166,
-0.09745758026838303,
-0.00769467419013381,
-0.010810538195073605,
0.02308409847319126,
-0.06171118840575218,
-0.04153629392385483,
-0.012597876600921154,
-0.046648625284433365,
0.05141878128051758,
-0.01183008961379528,
0.010144185274839401,
-0.023875372484326363
] |
https://github.com/unlimitedshaver/TopoEx
|
562 |
Principal-Agent Bandit Games with Self-Interested and Exploratory Learning Agents
|
https://openreview.net/forum?id=yI24Wy5YaN
|
[
"Junyan Liu",
"Lillian J. Ratliff"
] |
Poster
|
We study the repeated principal-agent bandit game, where the principal indirectly explores an unknown environment by incentivizing an agent to play arms.
Unlike prior work that assumes a greedy agent with full knowledge of reward means, we consider a self-interested learning agent who iteratively updates reward estimates and may explore arbitrarily with some probability.
As a warm-up, we first consider a self-interested learning agent without exploration.
We propose algorithms for both i.i.d. and linear reward settings with bandit feedback in a finite horizon $T$, achieving regret bounds of $\widetilde{O}(\sqrt{T})$ and $\widetilde{O}(T^{\frac{2}{3}})$, respectively.
Specifically, these algorithms rely on a novel elimination framework coupled with new search algorithms which accommodate the uncertainty from the agent's learning behavior. We then extend the framework to handle an exploratory learning agent and develop an algorithm to achieve a $\widetilde{O}(T^{\frac{2}{3}})$ regret bound in i.i.d. reward setup by enhancing the robustness of our elimination framework to the potential agent exploration. Finally, when our agent model reduces to that in (Dogan et al., 2023a), we propose an algorithm based on our robust framework, which achieves a $\widetilde{O}(\sqrt{T})$ regret bound, significantly improving upon their $\widetilde{O}(T^{\frac{11}{12}})$ bound.
|
Bandits, Principal-agent problem, Incentive design, Regret minimization
| null | 13,012 |
2412.16318
|
[
-0.05167502909898758,
-0.016121437773108482,
-0.003942012321203947,
0.044139984995126724,
0.04483567550778389,
0.008672025054693222,
0.017914900556206703,
0.0043532708659768105,
-0.01017772126942873,
-0.05608260631561279,
-0.01772272400557995,
0.011939303018152714,
-0.04281294345855713,
-0.015470116399228573,
-0.005536159500479698,
0.053859125822782516,
0.050946418195962906,
-0.005767946597188711,
-0.012721235863864422,
0.012873214669525623,
-0.01437996793538332,
0.05245344713330269,
0.05867762863636017,
0.041340846568346024,
0.04683035612106323,
0.017075190320611,
0.061404868960380554,
0.016094675287604332,
-0.027703866362571716,
-0.0047652749344706535,
0.009556422010064125,
-0.017972499132156372,
0.02167866751551628,
-0.017726708203554153,
-0.015810588374733925,
0.037700291723012924,
-0.010935662314295769,
0.01874423213303089,
0.0045384131371974945,
0.004712267313152552,
-0.06296344846487045,
0.031522247940301895,
-0.0456082783639431,
0.02459256909787655,
-0.025929071009159088,
0.013953366316854954,
-0.0651586726307869,
0.013922745361924171,
0.040308091789484024,
-0.03180301934480667,
-0.10490672290325165,
0.030285242944955826,
0.05417397990822792,
-0.012971729971468449,
-0.033613577485084534,
0.02602182887494564,
0.060943931341171265,
-0.07582491636276245,
-0.0026354321744292974,
-0.07319153845310211,
-0.010928983800113201,
0.030430901795625687,
-0.005082661751657724,
0.031452588737010956,
-0.02471891976892948,
0.017797760665416718,
0.040751319378614426,
0.0427427664399147,
-0.027343343943357468,
-0.006856128107756376,
-0.05342252925038338,
0.004813558887690306,
-0.01837526448071003,
0.021112114191055298,
0.018027639016509056,
-0.06250536441802979,
0.04297104477882385,
0.039596520364284515,
0.016765903681516647,
0.01604359783232212,
0.01916705258190632,
-0.01269873883575201,
0.022235076874494553,
0.025519294664263725,
-0.00518071698024869,
-0.009956051595509052,
-0.007706884760409594,
-0.04607933759689331,
-0.08665268868207932,
0.04494677856564522,
-0.03854832425713539,
-0.08002552390098572,
0.020478764548897743,
0.03631103038787842,
0.016797374933958054,
-0.006316150538623333,
0.023147298023104668,
0.012200632132589817,
0.013406418263912201,
-0.0328594334423542,
-0.04325762763619423,
-0.025900933891534805,
-0.001275598886422813,
0.001978546380996704,
-0.09273506700992584,
-0.028950806707143784,
-0.01202413346618414,
-0.0016451682895421982,
-0.01756390929222107,
0.014004139229655266,
-0.027712399140000343,
-0.026050662621855736,
0.026510348543524742,
-0.026786595582962036,
-0.09025232493877411,
0.035643573850393295,
0.013381359167397022,
0.06424514204263687,
-0.0044306060299277306,
-0.011608444154262543,
0.032345712184906006,
0.04175093397498131,
-0.029955511912703514,
0.07724974304437637,
0.0015546324430033565,
-0.003282657591626048,
0.04266023263335228,
0.018339158967137337,
-0.005605402402579784,
-0.0736788809299469,
0.06621155142784119,
0.04168073832988739,
-0.024390075355768204,
0.010624842718243599,
-0.028723716735839844,
-0.03029589354991913,
0.00851322989910841,
0.002249129582196474,
0.027306590229272842,
-0.020726483315229416,
-0.0006280405796132982,
-0.01686728745698929,
0.06627089530229568,
0.004506968427449465,
0.060946039855480194,
-0.038467176258563995,
0.010134447365999222,
-0.024122141301631927,
-0.07709392160177231,
-0.005869527813047171,
0.018308423459529877,
-0.0513574555516243,
0.02393992245197296,
-0.04262164980173111,
0.0041896081529557705,
0.034684307873249054,
0.04017530381679535,
0.019283773377537727,
-0.016789842396974564,
0.03367401659488678,
0.048522431403398514,
-0.017572306096553802,
0.009880144149065018,
-0.01746716909110546,
-0.007580293342471123,
-0.05048881471157074,
0.07489144802093506,
0.0496484711766243,
-0.003147686133161187,
-0.007387807127088308,
-0.018920166417956352,
-0.006250890903174877,
0.045281726866960526,
-0.018399525433778763,
-0.0007467020768672228,
-0.0029667268972843885,
0.019860466942191124,
0.01625685580074787,
0.0438808910548687,
0.024489430710673332,
-0.08358471095561981,
0.019217992201447487,
0.000887257163412869,
0.013425103388726711,
0.019944503903388977,
-0.01601511612534523,
0.05214756727218628,
-0.02275273948907852,
0.016178878024220467,
0.012575255706906319,
-0.07827068120241165,
-0.0068290578201413155,
0.028743339702486992,
-0.009725530631840229,
0.06607391685247421,
-0.0064570228569209576,
-0.025058049708604813,
0.00944908894598484,
0.03617323935031891,
0.039365701377391815,
0.026742475107312202,
-0.013829076662659645,
0.03356219828128815,
0.017486831173300743,
-0.03055858612060547,
-0.012700146995484829,
0.025734515860676765,
-0.03523338586091995,
-0.018213076516985893,
0.03890470042824745,
-0.01661902666091919,
0.03817791864275932,
0.0034390392247587442,
-0.01005595177412033,
0.0342276431620121,
-0.009713135659694672,
-0.008629041723906994,
-0.0036702356301248074,
0.053740568459033966,
-0.05204327031970024,
-0.00631303945556283,
-0.022110620513558388,
-0.05547180026769638,
0.024790599942207336,
0.0065610334277153015,
0.09955475479364395,
0.06926886737346649,
-0.05844002962112427,
-0.011051814071834087,
0.015563519671559334,
0.008958824910223484,
0.011016080155968666,
0.030063873156905174,
-0.03417414799332619,
0.0493011437356472,
-0.008179557509720325,
-0.021227190271019936,
-0.04222024977207184,
0.07486119121313095,
-0.03449539840221405,
-0.005858708638697863,
0.06828821450471878,
-0.012903419323265553,
0.06328022480010986,
-0.011957650072872639,
0.019523227587342262,
0.01799940876662731,
0.02303735353052616,
-0.005642848554998636,
-0.037470679730176926,
-0.030876217409968376,
-0.006241422146558762,
0.013691737316548824,
-0.036822061985731125,
0.006003036163747311,
-0.043933019042015076,
0.0036053385119885206,
-0.012209523469209671,
0.08567143231630325,
0.04418710991740227,
0.0340728722512722,
0.05236657336354256,
-0.028004050254821777,
-0.029454197734594345,
-0.018554721027612686,
-0.12620528042316437,
-0.042381323873996735,
-0.003779792692512274,
-0.0062319375574588776,
0.03903881460428238,
0.013301829807460308,
-0.044378988444805145,
0.029723430052399635,
-0.020462462678551674,
-0.04348660260438919,
0.025601496919989586,
0.03017680160701275,
0.03270959109067917,
-0.0209575816988945,
-0.023341257125139236,
0.05218597501516342,
0.06091712415218353,
0.01278589479625225,
-0.015186529606580734,
-0.027724094688892365,
-0.052747856825590134,
-0.012479645200073719,
-0.021908894181251526,
-0.0367891751229763,
0.005683668423444033,
-0.005610056687146425,
0.03226735070347786,
-0.023829026147723198,
0.02464550919830799,
0.02180320769548416,
0.04282965511083603,
-0.0021001528948545456,
0.021087734028697014,
0.016182318329811096,
-0.00538653926923871,
-0.008002434857189655,
-0.01293922495096922,
-0.024738656356930733,
0.022307049483060837,
0.008313623256981373,
-0.03151176869869232,
0.02767186239361763,
0.009136887267231941,
-0.23398591578006744,
-0.048355598002672195,
0.009012240916490555,
0.02957059070467949,
0.012302428483963013,
-0.02806605026125908,
0.05575018376111984,
-0.03107067383825779,
-0.05586467310786247,
0.008437713608145714,
-0.0033095679245889187,
0.011141849681735039,
0.003368420759215951,
0.06176193058490753,
0.05855049937963486,
0.04184436425566673,
-0.017722686752676964,
0.005459134001284838,
0.00040711782639846206,
0.029381144791841507,
-0.02279277704656124,
-0.06406337022781372,
-0.020220600068569183,
0.01300870068371296,
0.004065097309648991,
0.07463369518518448,
-0.05768199637532234,
-0.008703825064003468,
-0.03087790496647358,
0.014075217768549919,
-0.02870071865618229,
-0.041713811457157135,
-0.024535249918699265,
0.018198084086179733,
0.007348926272243261,
-0.00288002728484571,
0.010176317766308784,
-0.012536604888737202,
0.007808520458638668,
0.0181520227342844,
-0.026038486510515213,
0.014516987837851048,
-0.008517423644661903,
0.03919206187129021,
0.05449902266263962,
0.009714404121041298,
-0.017925990745425224,
-0.027445392683148384,
0.00563921919092536,
0.03837434574961662,
0.015138170681893826,
-0.017425108700990677,
-0.006247133016586304,
-0.015621008351445198,
0.001605082070454955,
-0.0255594365298748,
-0.008910134434700012,
-0.04609258100390434,
-0.0274521317332983,
0.032792672514915466,
0.015202674083411694,
-0.06172836944460869,
-0.02034570463001728,
-0.01305210217833519,
-0.013828733004629612,
-0.0525885745882988,
-0.05591032654047012,
-0.05757344514131546,
0.045637354254722595,
0.017916632816195488,
0.004052857868373394,
-0.029587242752313614,
-0.024756502360105515,
-0.11650216579437256,
0.022081391885876656,
0.011295938864350319,
-0.00813981331884861,
0.018892968073487282,
0.03807248920202255,
0.07368935644626617,
-0.039473071694374084,
-0.045963820070028305,
0.018105335533618927,
0.010332279838621616,
0.025707896798849106,
-0.006925539113581181,
0.03507591784000397,
-0.020031120628118515,
-0.017196787521243095,
-0.04823103919625282,
0.020031297579407692,
0.022412395104765892,
0.022669214755296707,
-0.012029224075376987,
0.06346046179533005,
0.05309231951832771,
0.032122232019901276,
0.0063560111448168755,
0.03329160436987877,
0.015121988020837307,
0.03645649552345276,
-0.0893099308013916,
-0.008641710504889488,
-0.022883811965584755,
-0.020873364061117172,
0.021823368966579437,
-0.051564883440732956,
-0.0018461620202288032,
0.04086354002356529,
-0.0014790078857913613,
0.018862012773752213,
-0.04791446775197983,
-0.0007035364396870136,
0.008740570396184921,
-0.009334851987659931,
-0.054315607994794846,
-0.0003361034905537963,
0.06986138224601746,
0.029349086806178093,
-0.013330109417438507,
-0.05577472969889641,
0.028829917311668396,
-0.028803585097193718,
0.014541614800691605,
0.0024178449530154467,
0.017846915870904922,
0.006108470261096954,
-0.0004547671414911747,
0.016887731850147247,
-0.03483176976442337,
0.039347968995571136,
0.034382034093141556,
0.0010551721788942814,
0.018932253122329712,
0.05584678426384926,
-0.005448449403047562,
-0.05127980560064316,
-0.012353074736893177,
0.03975841403007507,
-0.025491245090961456,
0.03536318987607956,
0.0004998332588002086,
0.01822955161333084,
0.019585294649004936,
0.01123606227338314,
-0.003429621923714876,
0.005849660374224186,
0.010940656997263432,
0.02545592375099659,
0.0006887078052386642,
0.022944210097193718,
-0.031124236062169075,
0.025022048503160477,
-0.01178324967622757,
0.032072342932224274,
-0.03808405250310898,
0.03360801562666893,
-0.024384092539548874,
0.008281141519546509,
-0.05976897105574608,
0.03541604429483414,
-0.030636517331004143,
-0.025065606459975243,
-0.009370975196361542,
0.03325112909078598,
0.07258832454681396,
-0.038275402039289474,
-0.005127449985593557,
0.011255317367613316,
0.006765133235603571,
0.01782689057290554,
-0.04919835925102234,
-0.016424080356955528,
-0.034951843321323395,
-0.03988194093108177,
-0.03491940349340439,
0.01787666045129299,
-0.03982856497168541,
-0.05812665447592735,
-0.0012275991030037403,
-0.014066183008253574,
-0.021724486723542213,
-0.02746717445552349,
-0.012871976010501385,
0.07941532135009766,
-0.013031081296503544,
0.04044248163700104,
-0.014249597676098347,
-0.03717166185379028,
-0.0019398832228034735,
-0.01604720763862133,
0.02430090308189392,
-0.052706874907016754,
-0.031715277582407,
-0.013983728364109993,
-0.025616440922021866,
0.009326111525297165,
-0.004255075938999653,
-0.027755070477724075,
0.011015566065907478,
0.004624801222234964,
-0.03331563621759415,
-0.033246465027332306,
0.001350177451968193,
0.03138502687215805,
-0.06664839386940002,
0.01380519662052393,
0.017354603856801987,
-0.029425745829939842,
0.049269355833530426,
-0.07552992552518845,
-0.023774635046720505,
-0.012551385909318924,
0.0031388322822749615,
0.009576551616191864,
-0.03414907678961754,
-0.031197072938084602,
-0.015129638835787773,
0.0033079159911721945,
0.03298507258296013,
0.013130775652825832,
-0.025499356910586357,
-0.04550156369805336,
-0.02267894521355629,
-0.011722875759005547,
0.04293715953826904,
-0.03077658638358116,
-0.04510161653161049,
0.023379450663924217,
-0.02224026620388031,
0.03294364735484123,
-0.04246298596262932,
-0.0031835262198001146,
0.025674231350421906,
0.0063667986541986465,
0.03169063851237297,
-0.039712365716695786,
0.030338682234287262,
-0.023959385231137276,
-0.04267074540257454,
-0.00590330408886075,
0.010433855466544628,
-0.022962937131524086,
-0.02652868442237377,
-0.009156448766589165,
0.030583657324314117,
-0.005035332404077053,
0.006144988816231489,
0.0255390927195549,
0.022699713706970215,
0.037030939012765884,
0.010946121998131275,
-0.04217987135052681,
0.02822972647845745,
0.04945484176278114,
-0.012029089033603668,
-0.005974825005978346,
-0.0075037251226603985,
-0.018358658999204636,
0.04362322762608528,
-0.021036827936768532,
0.0031576352193951607,
-0.05964823439717293,
0.034894708544015884,
0.019619740545749664,
0.029326727613806725,
-0.00009709096775623038,
-0.025289999321103096,
0.027670716866850853,
-0.08571914583444595,
0.018783871084451675,
-0.08329836279153824,
0.03797134384512901,
0.032562389969825745,
-0.022340353578329086,
0.042382679879665375,
0.0468582808971405,
-0.03613395616412163,
0.006140064913779497,
-0.0382196344435215,
-0.05986841022968292,
0.03760122135281563,
-0.023504745215177536,
-0.009874461218714714,
0.06252019107341766,
-0.04723489657044411,
-0.049754273146390915,
-0.02460286393761635,
-0.03530824929475784,
-0.0021153755951672792,
-0.011367102153599262,
0.03602815046906471,
-0.02061322331428528,
-0.005109168589115143,
-0.05086221918463707,
0.015541045926511288,
0.023757295683026314,
0.020212950184941292,
-0.012313545681536198,
0.04683687537908554,
-0.04197794571518898,
0.05011294037103653,
0.0597209669649601,
0.061779603362083435,
0.0386626198887825,
-0.02146746776998043,
-0.016502326354384422,
-0.013918070122599602,
0.05981585755944252,
-0.024733087047934532,
-0.030750656500458717,
-0.0713464617729187,
0.043686024844646454,
0.015249162912368774,
-0.05620887875556946,
0.0002502301358617842,
-0.0012757747899740934,
-0.07750466465950012,
0.0034280240070074797,
-0.019024215638637543,
0.00933901872485876,
0.029584981501102448,
0.07105977088212967,
0.02879922091960907,
0.05624433234333992,
0.03511977940797806,
0.014629047363996506,
-0.016589663922786713,
-0.018663547933101654,
0.0729341059923172,
0.06216605007648468,
0.06053665652871132,
-0.007498453836888075,
0.06580976396799088,
-0.0783374086022377,
-0.037310805171728134,
0.036732789129018784,
-0.02170216105878353,
-0.018904710188508034,
-0.03284519910812378,
-0.013702054508030415,
0.036043718457221985,
-0.01326207909733057,
0.03876064345240593,
-0.06542655825614929,
-0.016442349180579185,
0.07826441526412964,
-0.008024262264370918,
0.028292842209339142,
0.04940043017268181,
0.046070996671915054,
0.022696109488606453,
-0.02356128767132759,
-0.03369872644543648,
0.00654512969776988,
-0.017648696899414062,
0.012706993147730827,
0.018015045672655106,
-0.011229905299842358,
0.011291146278381348,
0.03299293667078018,
0.007961105555295944,
0.10111581534147263,
-0.05150265246629715,
0.01757018268108368,
-0.0013725541066378355,
0.013109244406223297,
0.008759424090385437,
0.06475034356117249,
0.021346881985664368,
-0.0084912721067667,
0.009903987869620323,
-0.03961675986647606,
0.02146744914352894,
0.03919781371951103,
-0.010699267499148846,
0.008115246891975403,
-0.022252609953284264,
0.012464707717299461,
0.01537629310041666,
0.0064425696618855,
-0.03736545145511627,
-0.023883750662207603,
-0.04407439008355141,
-0.03544240444898605,
-0.057394009083509445,
-0.028296735137701035,
0.03115815855562687,
0.007067505270242691,
-0.06256020069122314,
0.014569069258868694,
-0.004443642217665911,
0.014544009231030941,
-0.023837557062506676,
-0.03423589468002319,
-0.030068879947066307,
0.0319155789911747,
0.012234615162014961,
0.033744677901268005,
0.022300584241747856,
0.032930873334407806,
-0.004696598742157221,
-0.023995917290449142,
0.004047019872814417,
0.034308914095163345,
0.027727540582418442,
-0.038868486881256104,
-0.023236913606524467,
-0.07513611763715744,
-0.003218504134565592,
0.059449635446071625,
-0.0619298554956913,
-0.06763575971126556,
0.010049273259937763,
-0.07403956353664398,
0.0032887752167880535,
0.06616975367069244,
0.017685499042272568,
-0.002961339196190238,
-0.04634241759777069,
0.010139940306544304,
0.015565406531095505,
-0.01651901751756668,
0.03994206711649895,
-0.008837173692882061,
0.04946502670645714,
0.025942714884877205,
-0.054300688207149506,
-0.08453508466482162,
0.07123648375272751,
0.005007355939596891,
-0.0005764190573245287,
-0.009597518481314182,
-0.013351421803236008,
0.006502552889287472,
-0.10619863122701645,
-0.008744091726839542,
0.04494170844554901,
0.002847929485142231,
-0.03236113861203194,
-0.002463768469169736,
0.01987140253186226,
0.018186716362833977,
-0.004947013687342405,
-0.024124009534716606,
0.02229308895766735,
-0.028972117230296135,
-0.030599134042859077,
-0.057911716401576996,
0.016687456518411636,
-0.05560719221830368,
-0.00004969072688254528,
-0.04071596637368202,
-0.0439903549849987,
-0.020694447681307793,
-0.015087289735674858,
-0.002278601983562112,
0.03688288852572441,
-0.006582115776836872,
0.003422735957428813
] | null |
563 |
Language Models over Canonical Byte-Pair Encodings
|
https://openreview.net/forum?id=eCVrfVDNSY
|
[
"Tim Vieira",
"Tianyu Liu",
"Clemente Pasti",
"Yahya Emara",
"Brian DuSell",
"Benjamin LeBrun",
"Mario Giulianelli",
"Juan Luis Gastaldi",
"Timothy J. O'Donnell",
"Ryan Cotterell"
] |
Poster
|
Modern language models represent probability distributions over character strings as distributions over (shorter) token strings derived via a deterministic tokenizer, such as byte-pair encoding. While this approach is highly effective at scaling up language models to large corpora, its current incarnations have a concerning property: the model assigns nonzero probability mass to an exponential number of *noncanonical* token encodings of each character string—these are token strings that decode to valid character strings but are impossible under the deterministic tokenizer (i.e., they will never be seen in any training corpus, no matter how large). This misallocation is both erroneous, as noncanonical strings never appear in training data, and wasteful, diverting probability mass away from plausible outputs. These are avoidable mistakes! In this work, we propose methods to enforce canonicality in token-level language models, ensuring that only canonical token strings are assigned positive probability. We present two approaches: (1) canonicality by conditioning, leveraging test-time inference strategies without additional training, and (2) canonicality by construction, a model parameterization that guarantees canonical outputs but requires training. We demonstrate that fixing canonicality mistakes improves the likelihood of held-out data for several models and corpora.
|
tokenization, probabilistic inference, structured prediction, constrained generation
|
Tokenized language model place nontrival probability on invalid, noncanonical encodings; fixing these mistakes with our new methods improves helps!
| 13,011 |
2506.07956
|
[
-0.018029380589723587,
-0.029741104692220688,
-0.04076988995075226,
0.053968824446201324,
0.029174000024795532,
0.04791318625211716,
0.029611296951770782,
0.021195655688643456,
-0.02122381515800953,
-0.028806284070014954,
-0.03449251502752304,
-0.0010168527951464057,
-0.06895549595355988,
-0.010085152462124825,
-0.015666918829083443,
0.04261401295661926,
0.017466800287365913,
-0.023719297721982002,
0.039098139852285385,
-0.005528375506401062,
-0.00686469255015254,
0.007247565314173698,
0.018890535458922386,
0.022048650309443474,
0.01750997267663479,
0.021856555715203285,
0.020056847482919693,
0.0003399685665499419,
-0.0180976502597332,
-0.011545047163963318,
0.03467877209186554,
0.01404457539319992,
-0.005196752026677132,
-0.00881158746778965,
0.004200777970254421,
0.003781559644266963,
-0.04092547297477722,
0.020223597064614296,
0.012144253589212894,
0.03318451717495918,
-0.03627418354153633,
0.012017497792840004,
0.02051587402820587,
0.03697672113776207,
-0.05506044253706932,
-0.013910848647356033,
-0.13842782378196716,
0.019938413053750992,
0.001753989141434431,
-0.035151831805706024,
-0.0964493602514267,
0.018343238160014153,
-0.011443081311881542,
-0.017318792641162872,
0.03982648625969887,
0.03318038955330849,
0.03464353457093239,
-0.10734862834215164,
-0.0011051093460991979,
-0.036092303693294525,
-0.028316998854279518,
-0.00452770758420229,
-0.00575622171163559,
-0.02172732912003994,
-0.000005800686722068349,
-0.02956872060894966,
0.0030955676920711994,
0.04115783050656319,
-0.070601686835289,
-0.06155690178275108,
-0.00360790709964931,
0.02054949663579464,
-0.030012769624590874,
-0.010361481457948685,
0.027538025751709938,
-0.059262800961732864,
0.003589652245864272,
0.041310086846351624,
0.0630941390991211,
-0.004148941952735186,
-0.012182755395770073,
0.043831244111061096,
0.01802847534418106,
0.05074680224061012,
-0.011847635731101036,
-0.0027754090260714293,
-0.025681260973215103,
-0.03361117094755173,
-0.06202276423573494,
0.04859131947159767,
0.00354592502117157,
-0.045147642493247986,
0.012754743918776512,
0.005179205909371376,
-0.021200137212872505,
0.04290396347641945,
0.021082986146211624,
0.024079693481326103,
-0.014130385592579842,
-0.0018821622943505645,
-0.07659533619880676,
-0.014087159186601639,
0.039172496646642685,
-0.00961377751082182,
-0.10290000587701797,
-0.041973333805799484,
-0.029775893315672874,
0.025211643427610397,
0.043591633439064026,
0.0057543073780834675,
-0.011637330986559391,
-0.024348411709070206,
0.01681148074567318,
-0.026635104790329933,
-0.055971864610910416,
0.019157597795128822,
0.0048284633085131645,
0.004307596944272518,
-0.00033404608257114887,
0.002812214195728302,
0.05677427351474762,
0.054344262927770615,
0.0014714199351146817,
0.08211931586265564,
-0.0150535199791193,
-0.008913610130548477,
0.02081560343503952,
0.020890621468424797,
-0.04624177888035774,
-0.05035007745027542,
-0.009388012811541557,
0.05681760609149933,
-0.013494971208274364,
0.010663176886737347,
0.0020079300738871098,
0.01821591705083847,
0.009631850756704807,
0.040403928607702255,
0.04619481787085533,
-0.016665535047650337,
0.016544198617339134,
0.0023049237206578255,
0.03735208883881569,
0.0025867237709462643,
0.07292882353067398,
-0.001316793612204492,
-0.045623186975717545,
-0.01756107434630394,
-0.02579936385154724,
0.0035271719098091125,
0.006118047051131725,
0.0030899904668331146,
0.02319227159023285,
-0.05620918422937393,
0.01459223311394453,
0.017124902456998825,
0.011643416248261929,
0.03992963954806328,
0.010085849091410637,
0.01572199910879135,
0.02051621861755848,
-0.024475276470184326,
-0.05757894366979599,
0.007301711943000555,
0.009635874070227146,
-0.05629897490143776,
0.04728396236896515,
0.016468524932861328,
-0.046823807060718536,
0.00060891272732988,
-0.016661260277032852,
-0.04185175895690918,
0.07307454198598862,
-0.014454475603997707,
-0.01601959764957428,
-0.020276669412851334,
0.05012498050928116,
0.02737095020711422,
0.05321211367845535,
0.031160037964582443,
-0.09053749591112137,
0.0396212637424469,
-0.005830985028296709,
0.028032714501023293,
0.00889506097882986,
-0.022503947839140892,
0.07569871097803116,
-0.027070827782154083,
-0.0034395589027553797,
0.028313133865594864,
-0.07180570811033249,
-0.02158922515809536,
0.03648855537176132,
-0.0021186016965657473,
0.05615769699215889,
0.0013126092962920666,
0.016436388716101646,
0.05718715861439705,
0.033562324941158295,
0.022955484688282013,
0.01549429353326559,
0.000771235441789031,
0.028946127742528915,
-0.008869746699929237,
0.00503521366044879,
0.028445877134799957,
0.052768778055906296,
-0.04620691388845444,
-0.04547102376818657,
-0.011036448180675507,
-0.017767371609807014,
-0.008903383277356625,
0.0235299039632082,
-0.024314505979418755,
-0.02545776031911373,
-0.02304079197347164,
-0.010663390159606934,
0.030363650992512703,
0.0154497679322958,
-0.06500241160392761,
0.03162115067243576,
0.029750194400548935,
-0.02511279657483101,
-0.020474351942539215,
-0.0459439679980278,
0.11971404403448105,
0.08011462539434433,
0.002954085823148489,
0.006614647340029478,
0.03401760011911392,
0.008042970672249794,
-0.045866549015045166,
0.003817027434706688,
0.014048727229237556,
0.01095412578433752,
-0.012151097878813744,
-0.01874028705060482,
-0.06806086003780365,
0.06480687111616135,
-0.03178205341100693,
0.0013998370850458741,
0.07026877999305725,
-0.062231071293354034,
0.05174700543284416,
-0.008708938956260681,
0.014763973653316498,
0.04445616900920868,
-0.04542389139533043,
-0.02896668016910553,
-0.017287181690335274,
-0.026176266372203827,
-0.0037453011609613895,
0.005271768197417259,
-0.014774258248507977,
0.010744311846792698,
-0.0215316005051136,
-0.012785131111741066,
-0.0016008669044822454,
0.05986578390002251,
0.0481150783598423,
0.013048635795712471,
0.0017263186164200306,
-0.0026114326901733875,
-0.03873857110738754,
-0.015075345523655415,
-0.09916770458221436,
-0.0013552566524595022,
-0.02006024681031704,
0.03249894827604294,
0.007878011092543602,
0.048978738486766815,
0.015685608610510826,
-0.002378403674811125,
-0.013341442681849003,
-0.023376718163490295,
-0.01310452725738287,
0.042790140956640244,
-0.02660376951098442,
-0.04216896742582321,
-0.012017028406262398,
-0.029100729152560234,
0.06635226309299469,
-0.024879006668925285,
-0.02588781714439392,
-0.018983596935868263,
-0.04669881612062454,
-0.009441839531064034,
-0.048624858260154724,
-0.0012041929876431823,
0.0256634633988142,
0.041803184896707535,
0.02185141295194626,
-0.03052794560790062,
-0.015550737269222736,
0.04245602339506149,
0.045764293521642685,
0.03972489386796951,
0.014623966068029404,
-0.0014549924526363611,
0.04683861881494522,
-0.02779826708137989,
0.04359091818332672,
-0.003686376381665468,
0.0474400632083416,
-0.011416253633797169,
0.015241308137774467,
0.0002602045424282551,
0.005243625026196241,
-0.2758851945400238,
0.016372498124837875,
-0.006922143045812845,
-0.03932714834809303,
0.027068622410297394,
0.003126763505861163,
0.04684300720691681,
-0.025883277878165245,
-0.017398595809936523,
0.02436498925089836,
-0.010431982576847076,
0.016223430633544922,
-0.0022201493848115206,
0.03732937574386597,
0.04470057785511017,
0.012514548376202583,
-0.01791948452591896,
-0.021681126207113266,
0.002992031630128622,
0.05660231411457062,
0.003624897450208664,
-0.07368151843547821,
-0.0159935113042593,
0.0469251424074173,
-0.008549991063773632,
0.03464032709598541,
-0.08765954524278641,
-0.0010582883842289448,
-0.01947838068008423,
0.00799761526286602,
-0.03438997641205788,
-0.029746392741799355,
0.03941735625267029,
0.007627815008163452,
-0.014872250147163868,
-0.01843409053981304,
0.04455339536070824,
0.010888613760471344,
0.032391421496868134,
0.042314641177654266,
-0.00006224239768926054,
-0.023925768211483955,
0.0007261771825142205,
-0.03251126408576965,
0.05215228348970413,
0.01287283468991518,
-0.06034521013498306,
0.015353967435657978,
-0.03647254779934883,
0.03891443461179733,
-0.009113423526287079,
-0.050743088126182556,
-0.010592280887067318,
0.023671744391322136,
0.014598596841096878,
-0.011530564166605473,
0.017843035981059074,
0.0007657515234313905,
-0.03390992805361748,
-0.019679659977555275,
0.030769646167755127,
-0.07194192707538605,
-0.012464345432817936,
-0.0325988344848156,
-0.018691977486014366,
-0.03731086850166321,
-0.09257721155881882,
-0.03141157701611519,
0.06792303174734116,
0.03529436141252518,
-0.03861688822507858,
0.027670226991176605,
0.007507760543376207,
-0.07871495932340622,
0.012875043787062168,
-0.002003813162446022,
-0.006540334317833185,
-0.04463203251361847,
-0.0020088213495910168,
0.0335424430668354,
-0.032310061156749725,
-0.03812022879719734,
-0.008209221065044403,
0.011842993088066578,
0.03915915638208389,
-0.03933043032884598,
0.01952820084989071,
-0.03478742390871048,
-0.02238387241959572,
-0.05372793972492218,
0.029840778559446335,
-0.01350246649235487,
0.009484736248850822,
0.017900662496685982,
0.04387851431965828,
0.035188715904951096,
0.01375818345695734,
0.05902279540896416,
0.016988340765237808,
0.007495247293263674,
0.01950196735560894,
-0.08735933899879456,
-0.024042215198278427,
-0.05200616642832756,
-0.01031708624213934,
0.0694439709186554,
-0.07669346779584885,
-0.030727004632353783,
0.03244529291987419,
0.001122215879149735,
-0.04424437880516052,
-0.03434782475233078,
-0.0016223866259679198,
0.0018414234509691596,
-0.00011490295582916588,
-0.02252463437616825,
0.008327838033437729,
0.035073306411504745,
0.022494247183203697,
-0.01292515266686678,
-0.008805411867797375,
0.04300002008676529,
-0.028799308463931084,
-0.011361043900251389,
-0.0001065511314664036,
-0.03038991615176201,
0.009721240028738976,
0.004933473188430071,
-0.0025179502554237843,
-0.049767136573791504,
0.02521808072924614,
0.021694421768188477,
0.000924652093090117,
0.021580886095762253,
0.05640186741948128,
0.04230126366019249,
-0.012455842457711697,
-0.010046817362308502,
0.0065718721598386765,
-0.01934957318007946,
0.024746499955654144,
-0.02066584676504135,
0.029556164517998695,
0.033221110701560974,
0.043983425945043564,
-0.004171859938651323,
0.03040331043303013,
0.0032588127069175243,
0.003290375927463174,
-0.009045093320310116,
0.04614868015050888,
-0.0414031520485878,
-0.013813279569149017,
-0.028991511091589928,
-0.01741645112633705,
-0.009822283871471882,
0.023022670298814774,
0.012273667380213737,
0.02110147848725319,
-0.08433061838150024,
0.04810046777129173,
-0.01436601486057043,
0.001959963468834758,
-0.013834433630108833,
0.010346071794629097,
0.034786853939294815,
-0.033769264817237854,
-0.00021182406635489315,
0.01905970275402069,
0.03026544488966465,
0.0016751221846789122,
0.019237270578742027,
-0.015994062647223473,
-0.000500213704071939,
-0.0010540063958615065,
0.007297091651707888,
-0.010252966545522213,
0.0012580014299601316,
-0.021135257557034492,
0.04080485925078392,
0.008627046830952168,
-0.015016197226941586,
-0.006199717056006193,
0.010451598092913628,
0.09129282832145691,
0.015612207353115082,
0.024725403636693954,
-0.007538850884884596,
-0.06124882027506828,
0.0282182227820158,
-0.021490823477506638,
-0.0014241491444408894,
-0.01735684461891651,
-0.03411535918712616,
-0.04965963587164879,
-0.026052044704556465,
0.00462298421189189,
0.009712844155728817,
0.0020043852273374796,
0.010018193162977695,
0.02224838361144066,
-0.008913465775549412,
-0.042926397174596786,
-0.01890306919813156,
0.042127858847379684,
-0.06282529979944229,
0.003072981256991625,
0.011053940281271935,
-0.008568515069782734,
0.01644808240234852,
-0.028536399826407433,
-0.02541203238070011,
-0.05618971958756447,
-0.0123215913772583,
0.015019195154309273,
0.002335702534765005,
-0.037436921149492264,
-0.007092603482306004,
0.0022329615894705057,
-0.01808260753750801,
0.0036688612308353186,
0.0067935362458229065,
-0.0010373920667916536,
-0.0007182822446338832,
0.017201747745275497,
0.03078499808907509,
-0.03918113186955452,
-0.017402952536940575,
0.010119588114321232,
-0.03184226527810097,
0.04251963272690773,
-0.05210873484611511,
0.028714902698993683,
0.048612650483846664,
0.012288389727473259,
-0.021042676642537117,
-0.04616137966513634,
0.027347328141331673,
0.006241489201784134,
0.03831043094396591,
0.011291103437542915,
0.017864467576146126,
-0.00871677789837122,
0.018126659095287323,
-0.01985948532819748,
0.03825177624821663,
0.022062035277485847,
0.011872464790940285,
0.0005588333588093519,
0.00625417847186327,
-0.0045891329646110535,
0.03307795152068138,
-0.06785862147808075,
-0.006429730448871851,
0.06407500058412552,
-0.01842327043414116,
-0.03840857371687889,
-0.05926209315657616,
-0.04040559381246567,
0.0028146388940513134,
0.0003927811048924923,
0.028025593608617783,
0.0012665168615058064,
0.0384473092854023,
0.022985083982348442,
0.04166677966713905,
0.003345344914123416,
-0.010172323323786259,
0.032069042325019836,
-0.0171631071716547,
-0.0165436789393425,
-0.06304103136062622,
-0.010204150341451168,
0.07619551569223404,
-0.03372108191251755,
-0.0015233977464959025,
0.0022580381482839584,
-0.03759312629699707,
-0.0064195008017122746,
0.00905050802975893,
-0.04823094978928566,
0.019062157720327377,
-0.038838647305965424,
0.003656711895018816,
0.023448439314961433,
-0.07062047719955444,
-0.0008476377697661519,
-0.019345954060554504,
-0.031986430287361145,
-0.022242046892642975,
-0.002068827161565423,
0.07449699938297272,
-0.041161298751831055,
0.026634762063622475,
-0.0048189167864620686,
-0.02388380840420723,
0.01408410258591175,
0.06162306293845177,
0.018408579751849174,
0.04490524157881737,
-0.03889351710677147,
0.04333966225385666,
0.033199504017829895,
-0.011975418776273727,
0.039549678564071655,
0.007420301903039217,
-0.047481633722782135,
-0.06912128627300262,
0.022216733545064926,
0.015454472973942757,
-0.005977528169751167,
-0.05450800806283951,
0.07262102514505386,
0.021980592980980873,
-0.03913036733865738,
-0.04635978117585182,
0.033527158200740814,
-0.03200383111834526,
-0.003405943512916565,
-0.01954467222094536,
0.026264289394021034,
-0.010896861553192139,
0.072919100522995,
0.043072931468486786,
0.030699472874403,
0.09525831043720245,
-0.03233997896313667,
0.012817016802728176,
-0.004134706221520901,
0.07058125734329224,
0.08106285333633423,
0.052558593451976776,
0.015450766310095787,
0.04441563040018082,
-0.049297645688056946,
-0.058244314044713974,
0.01876985654234886,
0.0393206924200058,
-0.00010156603093491867,
-0.034049034118652344,
-0.003950479906052351,
0.07592294365167618,
-0.03571752831339836,
0.0852067619562149,
-0.053380221128463745,
-0.019870666787028313,
0.03837181255221367,
0.01687062531709671,
0.006505191791802645,
0.02194284275174141,
0.028689449653029442,
0.008741338737308979,
-0.0250240471214056,
-0.008796576410531998,
0.004545201547443867,
-0.032884757965803146,
-0.006238745525479317,
-0.0010858036112040281,
-0.017935195937752724,
0.004337966442108154,
-0.01355732511729002,
0.04793267324566841,
0.10927793383598328,
-0.05427081137895584,
-0.027046335861086845,
0.021454744040966034,
-0.0010244109435006976,
0.031176578253507614,
0.0609760545194149,
-0.016861937940120697,
-0.029620135203003883,
-0.016981519758701324,
-0.04129759594798088,
0.001172078074887395,
0.018328389152884483,
-0.018452497199177742,
0.03500531613826752,
0.0017556510865688324,
-0.054162196815013885,
-0.025278596207499504,
0.027505727484822273,
-0.030683446675539017,
-0.05502116680145264,
-0.02966473065316677,
-0.007459657732397318,
-0.05886193737387657,
-0.03586971014738083,
0.003876093775033951,
0.008746625855565071,
-0.026094535365700722,
-0.0029022670350968838,
-0.06400873512029648,
0.007304174825549126,
0.002183030592277646,
-0.04969915747642517,
0.005786173511296511,
0.03448409587144852,
0.011572151444852352,
-0.03297174721956253,
0.04088405892252922,
0.014039823785424232,
-0.03410767763853073,
-0.01793980970978737,
0.03162970766425133,
0.021384363994002342,
0.03426776081323624,
0.02165236882865429,
0.002233294304460287,
-0.08057435601949692,
0.03051210567355156,
0.0354316346347332,
-0.01591932401061058,
-0.08191712945699692,
0.028462084010243416,
-0.028830744326114655,
0.006682979874312878,
0.07234960049390793,
0.015036300756037235,
0.020962798967957497,
-0.015242361463606358,
-0.023197244852781296,
-0.0032490938901901245,
0.01994495652616024,
0.043904177844524384,
-0.010101811029016972,
0.0877813771367073,
0.05186641216278076,
-0.020753677934408188,
-0.07788818329572678,
0.014805560000240803,
-0.02058144100010395,
0.0030653744470328093,
-0.01929977536201477,
-0.010858630761504173,
-0.011932081542909145,
-0.07108715921640396,
-0.02197141945362091,
0.039824191480875015,
-0.03645055741071701,
-0.03114217333495617,
0.02167391963303089,
-0.019057760015130043,
-0.030756590887904167,
-0.005616382230073214,
-0.009163111448287964,
-0.030435776337981224,
-0.008797423914074898,
-0.023698141798377037,
-0.08084651827812195,
-0.021406065672636032,
-0.033848512917757034,
0.010117605328559875,
-0.04199948534369469,
-0.03862683102488518,
0.007109832018613815,
0.019563822075724602,
0.055558063089847565,
0.008461776189506054,
0.029427530243992805,
-0.010848041623830795
] |
https://github.com/genlm/canonical-icml-2025
|
564 |
Provable Zero-Shot Generalization in Offline Reinforcement Learning
|
https://openreview.net/forum?id=1jx6bgemqg
|
[
"Zhiyong Wang",
"Chen Yang",
"John C.S. Lui",
"Dongruo Zhou"
] |
Poster
|
In this work, we study offline reinforcement learning (RL) with zero-shot generalization property (ZSG), where the agent has access to an offline dataset including experiences from different environments, and the goal of the agent is to train a policy over the training environments which performs well on test environments without further interaction. Existing work showed that classical offline RL fails to generalize to new, unseen environments. We propose pessimistic empirical risk minimization (PERM) and pessimistic proximal policy optimization (PPPO), which leverage pessimistic policy evaluation to guide policy learning and enhance generalization. We show that both PERM and PPPO are capable of finding a near-optimal policy with ZSG. Our result serves as a first step in understanding the foundation of the generalization phenomenon in offline reinforcement learning.
|
offline reinforcement learning, generalization
| null | 13,001 |
2503.07988
|
[
-0.03451428934931755,
-0.03542373329401016,
0.009057814255356789,
0.06525493413209915,
0.04340486228466034,
0.025844348594546318,
0.030011510476469994,
0.010726245120167732,
-0.03523458540439606,
-0.028036780655384064,
-0.047306135296821594,
0.01483069732785225,
-0.09137662500143051,
-0.028607087209820747,
0.01545355562120676,
0.04093325510621071,
0.016408955678343773,
0.0036651284899562597,
-0.02501371130347252,
0.002178717404603958,
-0.03283299133181572,
0.0137098990380764,
0.014310721307992935,
0.005191832780838013,
0.027674203738570213,
0.022061267867684364,
0.046131569892168045,
0.026000872254371643,
-0.04265354201197624,
-0.020652199164032936,
0.022796396166086197,
0.007947023026645184,
0.002187321661040187,
-0.009145012125372887,
0.002874624216929078,
0.029239971190690994,
-0.04459920898079872,
0.01783037558197975,
-0.004801902920007706,
0.022949449717998505,
-0.03521190211176872,
0.0016757051926106215,
-0.03479510918259621,
-0.014592291787266731,
-0.006696593947708607,
0.024620741605758667,
-0.06385473906993866,
0.006580658257007599,
0.00799423735588789,
-0.08059188723564148,
-0.11100337654352188,
0.06886425614356995,
0.036197952926158905,
-0.021404940634965897,
-0.02599949762225151,
0.0391266755759716,
0.02408531680703163,
-0.0842956155538559,
-0.03180595859885216,
-0.038965240120887756,
-0.04723501577973366,
0.02457474172115326,
0.004712246358394623,
0.004679338075220585,
-0.0031730150803923607,
0.0035633433144539595,
0.02227189764380455,
0.05309034883975983,
-0.02359345555305481,
-0.02026466466486454,
-0.05386877804994583,
-0.02047831565141678,
0.005457696504890919,
0.018646519631147385,
0.028136566281318665,
-0.014063541777431965,
0.045134395360946655,
0.013233613222837448,
0.049578581005334854,
0.006797500886023045,
0.024035442620515823,
0.013607814908027649,
0.04449014365673065,
0.022054282948374748,
0.018936702981591225,
0.008313431404531002,
-0.007984403520822525,
-0.03753023222088814,
-0.1024424359202385,
0.04642577841877937,
-0.04197605699300766,
-0.055013787001371384,
0.0017584838205948472,
0.02497795596718788,
0.004060623236000538,
-0.0057806288823485374,
0.02341667003929615,
0.019162867218255997,
0.010974384844303131,
0.0041243028827011585,
-0.019040698185563087,
-0.005334529560059309,
0.004972434602677822,
-0.03776765242218971,
-0.10758551955223083,
-0.012688626535236835,
0.026125861331820488,
0.019706223160028458,
-0.02756837196648121,
0.017201991751790047,
-0.0616220086812973,
0.011793063022196293,
0.025774428620934486,
-0.007580888457596302,
-0.06163980811834335,
0.03574896976351738,
-0.01867586560547352,
0.017377154901623726,
0.0029341629706323147,
-0.021176425740122795,
0.02822922170162201,
0.011749819852411747,
-0.019443383440375328,
0.06692612171173096,
-0.004318110644817352,
-0.0028400474693626165,
0.0115225650370121,
0.043086618185043335,
-0.0365007109940052,
-0.06899862736463547,
0.021285781636834145,
0.04302511736750603,
-0.020498473197221756,
0.0092988396063447,
-0.024587102234363556,
-0.0014298178721219301,
0.0029018670320510864,
-0.0006255305488593876,
0.023782871663570404,
-0.010476263239979744,
-0.030886603519320488,
-0.004450780805200338,
0.08360517024993896,
-0.032389845699071884,
0.10322831571102142,
-0.039368655532598495,
0.041388966143131256,
-0.03403804451227188,
-0.05198375880718231,
-0.015810979530215263,
-0.004158069845288992,
-0.03976060822606087,
-0.006534449756145477,
-0.06003483012318611,
0.025904405862092972,
0.03521587327122688,
0.05337650701403618,
0.008773359470069408,
-0.009203358553349972,
0.006016899365931749,
0.03119519352912903,
0.01703503727912903,
-0.030968230217695236,
0.010675565339624882,
0.03485472872853279,
-0.07321612536907196,
0.05698581039905548,
0.022808458656072617,
-0.004125670995563269,
-0.013169589452445507,
-0.021681027486920357,
-0.031165411695837975,
0.02787594683468342,
-0.010280322283506393,
-0.0014200046425685287,
0.013217412866652012,
0.05477770045399666,
0.00045846650027669966,
0.06259526312351227,
-0.014980201609432697,
-0.09286025911569595,
0.029093213379383087,
0.017969278618693352,
-0.004665188491344452,
0.012551565654575825,
-0.0454324372112751,
0.042832452803850174,
-0.019534239545464516,
0.03153089061379433,
0.04388377442955971,
-0.07884698361158371,
-0.008281662128865719,
0.06256164610385895,
-0.02665669657289982,
0.06501030921936035,
-0.002143240999430418,
-0.01951798051595688,
0.04548308625817299,
0.02317776158452034,
0.030286520719528198,
0.03782934322953224,
-0.0288477074354887,
0.023983871564269066,
-0.00010418082820251584,
-0.02191631682217121,
0.02225794643163681,
0.03153669089078903,
-0.014171630144119263,
-0.03371181711554527,
0.010762565769255161,
-0.0075918459333479404,
0.007427807431668043,
0.0067649120464921,
0.012495559640228748,
0.008638441562652588,
0.01953119970858097,
-0.0017848190618678927,
-0.014912562444806099,
0.03975818306207657,
-0.03551020100712776,
0.02504875510931015,
-0.013124494813382626,
-0.024475807324051857,
0.00634857639670372,
-0.0074474019929766655,
0.08269308507442474,
0.0845632404088974,
-0.05658455565571785,
0.0017276536673307419,
0.02494245022535324,
0.0029239519499242306,
0.02861911989748478,
0.04715282469987869,
-0.03666817396879196,
0.035971950739622116,
0.007656073197722435,
-0.0008321079076267779,
-0.04612427204847336,
0.07377287745475769,
-0.015195369720458984,
-0.012678202241659164,
0.07351896166801453,
-0.020212873816490173,
0.05221099779009819,
-0.0020462442189455032,
0.02487099915742874,
0.008457916788756847,
0.013484038412570953,
-0.029017040506005287,
-0.029070740565657616,
-0.04476198926568031,
-0.009891086257994175,
0.034297071397304535,
0.002296364400535822,
0.00956812035292387,
-0.05369292572140694,
-0.025517083704471588,
-0.026186933740973473,
0.06408076733350754,
0.025187164545059204,
0.014415373094379902,
0.04173731803894043,
-0.03366851434111595,
-0.019387563690543175,
-0.008793866261839867,
-0.10707797110080719,
-0.06145332753658295,
0.005348816514015198,
0.029694190248847008,
0.039675768464803696,
0.038697052747011185,
-0.016312655061483383,
0.029538288712501526,
-0.029056720435619354,
-0.04704403877258301,
0.00044684516615234315,
0.031080571934580803,
0.03229079768061638,
-0.04817831888794899,
-0.010500751435756683,
0.031844668090343475,
0.06909431517124176,
-0.008925266563892365,
-0.015017815865576267,
-0.03155095875263214,
-0.05071953684091568,
-0.018831394612789154,
-0.03869984671473503,
-0.02630099095404148,
0.024711284786462784,
0.02571488544344902,
0.005677903536707163,
-0.03419661894440651,
0.013313975185155869,
0.03348652645945549,
0.04581941291689873,
0.027694540098309517,
0.02019377425312996,
0.0037029029335826635,
0.010921653360128403,
-0.016476573422551155,
-0.018934421241283417,
-0.012012249790132046,
0.009986711665987968,
-0.00172181345988065,
-0.014954037964344025,
0.005865777842700481,
0.0019062424544245005,
-0.2667240798473358,
-0.023496579378843307,
0.005075872875750065,
0.016322821378707886,
0.02406161278486252,
-0.02775079943239689,
0.03471420332789421,
-0.0252964049577713,
-0.056424982845783234,
0.006555155385285616,
0.017137985676527023,
0.026028066873550415,
0.01821053959429264,
0.04295935109257698,
0.04632621631026268,
0.010782571509480476,
-0.0010389096569269896,
-0.0033182858023792505,
-0.001738084014505148,
-0.013755138032138348,
-0.008610640652477741,
-0.07566020637750626,
-0.022520313039422035,
0.015183229930698872,
0.004784177057445049,
0.05399438366293907,
-0.039682794362306595,
-0.02894340269267559,
-0.027937117964029312,
-0.01226708386093378,
-0.011388671584427357,
-0.028759729117155075,
-0.03755746781826019,
0.049315936863422394,
0.037566471844911575,
0.029056334868073463,
0.031173892319202423,
0.0007142025860957801,
0.023326905444264412,
0.04270854592323303,
-0.02984185516834259,
-0.01062418520450592,
-0.005318295210599899,
0.046741895377635956,
0.03522911295294762,
0.04740482196211815,
-0.0196303129196167,
-0.017714988440275192,
-0.014689912088215351,
0.03912382572889328,
0.012051379308104515,
-0.00022584391990676522,
-0.008116038516163826,
0.014525300823152065,
0.018230389803647995,
0.002623321721330285,
-0.004312475677579641,
-0.04096595570445061,
-0.03302566334605217,
-0.01578664220869541,
0.04490375518798828,
-0.03336431458592415,
-0.03133096918463707,
-0.01694890856742859,
0.0035042171366512775,
-0.03114510141313076,
-0.04483415186405182,
-0.06514988094568253,
0.02963843382894993,
0.0450701043009758,
-0.007932919077575207,
-0.01772964559495449,
0.0009158983011730015,
-0.08610812574625015,
0.00608040252700448,
0.0006462952005676925,
-0.010990600101649761,
-0.027349665760993958,
0.05589967593550682,
0.06445800513029099,
-0.02155343070626259,
-0.03502395376563072,
0.0021473171655088663,
0.010581664741039276,
0.029531799256801605,
-0.013878450728952885,
0.0447038896381855,
-0.03952581807971001,
-0.04452914372086525,
-0.028478113934397697,
0.024546202272176743,
-0.010353626683354378,
0.04008503630757332,
-0.0052323914133012295,
0.046998102217912674,
0.05134352296590805,
0.023752296343445778,
0.01959250308573246,
0.028874985873699188,
-0.03197571262717247,
0.006489302031695843,
-0.07522039860486984,
-0.03929945454001427,
-0.05656901374459267,
-0.027981966733932495,
0.02008480206131935,
-0.06542163342237473,
0.005381218623369932,
0.05342044308781624,
0.00016635555948596448,
0.0067630610428750515,
-0.011609826236963272,
-0.0013817830476909876,
-0.01593625545501709,
-0.019204122945666313,
-0.004755931906402111,
-0.008695362135767937,
0.054071094840765,
0.060405243188142776,
-0.010106534697115421,
-0.02700035274028778,
0.032751839607954025,
-0.03012617863714695,
-0.0005777557380497456,
-0.04209085926413536,
-0.00127325183711946,
0.015739355236291885,
-0.029764214530587196,
0.0351455993950367,
-0.037251655012369156,
0.03153868019580841,
0.04388265684247017,
0.01703493297100067,
0.016442054882645607,
0.05212640389800072,
-0.004365303087979555,
-0.0059806788340210915,
-0.03757971152663231,
0.031135935336351395,
-0.016457993537187576,
0.009849458932876587,
-0.01751122623682022,
0.05918265879154205,
0.021802708506584167,
0.016407402232289314,
0.029752446338534355,
0.028782622888684273,
0.02057464048266411,
0.006159144453704357,
-0.021778615191578865,
0.06288177520036697,
-0.05003862828016281,
0.021091219037771225,
-0.01890227012336254,
0.01676131784915924,
-0.03792353346943855,
0.04003492370247841,
-0.022462496533989906,
0.04115079715847969,
-0.07017222791910172,
0.033510033041238785,
-0.01848922297358513,
-0.0400785431265831,
0.0021825202275067568,
0.026409896090626717,
0.0815359428524971,
-0.016126669943332672,
-0.025821583345532417,
0.0031607868149876595,
0.0013451348058879375,
0.04116429015994072,
-0.056008655577898026,
-0.020723195746541023,
-0.027797840535640717,
-0.023814383894205093,
-0.020093083381652832,
-0.013345141895115376,
-0.0327925942838192,
-0.03198781982064247,
0.007429713383316994,
-0.0017135248053818941,
-0.010095654055476189,
-0.004456589929759502,
-0.018075453117489815,
0.08257167786359787,
0.018161138519644737,
0.013981224969029427,
0.003510228358209133,
-0.02414099872112274,
0.00476923817768693,
-0.009216639213263988,
0.02046109177172184,
-0.028439773246645927,
-0.015030027367174625,
-0.033859409391880035,
-0.026398055255413055,
-0.0023156623356044292,
0.009889427572488785,
-0.03884502872824669,
0.00936884991824627,
-0.021203147247433662,
-0.030138583853840828,
-0.038872987031936646,
-0.026449056342244148,
0.038220323622226715,
-0.07271063327789307,
-0.004918433725833893,
0.028736239299178123,
0.0068504223600029945,
0.028750251978635788,
-0.07551854848861694,
-0.05491073802113533,
-0.06644520908594131,
-0.018187832087278366,
0.01290853414684534,
-0.03988512605428696,
-0.010755045339465141,
-0.020159859210252762,
-0.0489516407251358,
-0.0090726213529706,
0.017171280458569527,
-0.008608688600361347,
-0.03058420680463314,
-0.020848382264375687,
0.014295857399702072,
0.05022117495536804,
-0.003110153367742896,
-0.04130707308650017,
0.03337446227669716,
-0.0093607222661376,
0.021685700863599777,
-0.028344031423330307,
0.015743592754006386,
0.04113876819610596,
0.006079154554754496,
0.05477049946784973,
-0.027582712471485138,
0.06873839348554611,
-0.04878571629524231,
-0.03410952910780907,
-0.044206004589796066,
0.015561915002763271,
-0.022825852036476135,
-0.03937729075551033,
0.00947021134197712,
0.00935785099864006,
0.045721329748630524,
-0.004174669738858938,
0.009258763864636421,
0.01877625100314617,
0.02345196157693863,
0.014156268909573555,
-0.05046699941158295,
0.009737196378409863,
0.061401933431625366,
-0.011812105774879456,
-0.03283083438873291,
-0.03840000554919243,
0.014288109727203846,
0.046793773770332336,
-0.0444456972181797,
0.024584606289863586,
-0.050039369612932205,
0.009494610130786896,
0.00956384465098381,
0.046542324125766754,
0.04699629172682762,
-0.008575864136219025,
0.04575508460402489,
-0.08816613256931305,
-0.007837011478841305,
-0.0630723163485527,
-0.0005952122737653553,
0.0574469119310379,
-0.05026018247008324,
0.009113688953220844,
0.006377205718308687,
-0.004483410622924566,
0.01483921054750681,
-0.050008296966552734,
-0.07675918936729431,
0.023223713040351868,
-0.029818452894687653,
-0.03620469942688942,
0.05794947221875191,
-0.03005334734916687,
-0.025513244792819023,
-0.009355176240205765,
-0.04901912435889244,
0.018111426383256912,
0.02144579030573368,
0.034034229815006256,
-0.014111031778156757,
-0.041020240634679794,
-0.02405908703804016,
0.02824242226779461,
0.04359544441103935,
0.03617411479353905,
0.03445334732532501,
0.01924898475408554,
-0.039368558675050735,
0.05352816730737686,
0.03583946079015732,
0.029746314510703087,
-0.018587246537208557,
0.02255396917462349,
-0.02737870253622532,
-0.05119435116648674,
0.05745430290699005,
-0.003119460307061672,
-0.015261197462677956,
-0.053287193179130554,
0.018500367179512978,
0.0169539637863636,
-0.04450684413313866,
-0.021958302706480026,
0.0389353409409523,
-0.058720119297504425,
-0.009186416864395142,
0.004211289342492819,
-0.006087142508476973,
0.03938347473740578,
0.06425082683563232,
0.025454401969909668,
0.04841170832514763,
0.044855739921331406,
0.06577365845441818,
-0.0036217886954545975,
0.011105837300419807,
0.06871432811021805,
0.052510641515254974,
0.03356923907995224,
-0.003147814190015197,
0.05835840851068497,
-0.0427074171602726,
-0.05271420627832413,
0.013397468253970146,
-0.01749357208609581,
-0.0336625799536705,
-0.04047321900725365,
0.020935961976647377,
0.03942260891199112,
-0.012939728796482086,
0.055696889758110046,
-0.04606051370501518,
-0.013534842990338802,
0.06345315277576447,
0.004192696884274483,
-0.022791871801018715,
0.05805275961756706,
0.054822325706481934,
0.047090984880924225,
-0.006362271960824728,
-0.031033314764499664,
-0.01581519842147827,
-0.03366277366876602,
0.029320603236556053,
-0.0198447834700346,
-0.04164908081293106,
0.006547657772898674,
0.045178595930337906,
-0.01910005323588848,
0.09943332523107529,
-0.06954360753297806,
-0.012797610834240913,
0.016739754006266594,
0.01495398860424757,
-0.00311012240126729,
0.03523428738117218,
0.011776275932788849,
-0.019676445052027702,
0.01648264192044735,
-0.019256846979260445,
0.053976669907569885,
0.02849007584154606,
0.0028469667304307222,
0.008444784209132195,
-0.005463678855448961,
-0.004346334375441074,
0.013197221793234348,
0.009680761955678463,
0.017148233950138092,
-0.04324391484260559,
-0.025023438036441803,
-0.042415887117385864,
-0.06050509214401245,
-0.06078237295150757,
-0.012089273892343044,
0.0011614594841375947,
-0.04100846126675606,
0.025492921471595764,
-0.04427597299218178,
0.02225271239876747,
-0.010435966774821281,
-0.029750024899840355,
-0.001671983627602458,
0.029406998306512833,
0.0023108632303774357,
0.021344022825360298,
0.04608148708939552,
0.03068121150135994,
0.0027858433313667774,
-0.02844075858592987,
0.024533966556191444,
0.0028523458167910576,
0.008613250218331814,
-0.053938403725624084,
-0.011940269730985165,
-0.07734160870313644,
0.022103581577539444,
0.031526342034339905,
-0.04060038924217224,
-0.07388563454151154,
0.05102309584617615,
-0.03979509323835373,
0.02961834706366062,
0.07476864010095596,
0.04355303570628166,
-0.001851876382716,
-0.05611506476998329,
0.025821782648563385,
-0.023592881858348846,
0.00295743509195745,
0.039880018681287766,
-0.04308541119098663,
0.029469672590494156,
0.02848775126039982,
-0.047885600477457047,
-0.05330047756433487,
0.053170956671237946,
0.02541325055062771,
-0.02839883603155613,
-0.01602979376912117,
-0.012580111622810364,
-0.0054372320882976055,
-0.09337522834539413,
-0.00583565654233098,
0.07134944200515747,
0.0004241922579240054,
-0.0361696220934391,
-0.02113458327949047,
-0.014188313856720924,
0.04563955217599869,
0.017107386142015457,
-0.04311971366405487,
-0.0022865047212690115,
-0.03803625330328941,
-0.019680451601743698,
-0.06422320008277893,
0.01680281199514866,
-0.03419706970453262,
-0.0003691170713864267,
-0.0218580961227417,
-0.011767563410103321,
0.010070892982184887,
-0.009320764802396297,
0.010284260846674442,
-0.005579233169555664,
-0.010533859953284264,
0.0008156013209372759
] | null |
565 |
Speculative Prefill: Turbocharging TTFT with Lightweight and Training-Free Token Importance Estimation
|
https://openreview.net/forum?id=bzbuZ0ItBq
|
[
"Jingyu Liu",
"Beidi Chen",
"Ce Zhang"
] |
Poster
|
Improving time-to-first-token (TTFT) is an essentially important objective in modern large language model (LLM) inference engines. Optimizing TTFT directly results in higher maximal QPS and meets the requirements of many critical applications. However, boosting TTFT is notoriously challenging since it is compute-bounded and the performance bottleneck shifts from the self-attention that many prior works focus on to the MLP part. In this work, we present SpecPrefill, a training free framework that accelerates the inference TTFT for both long and medium context queries based on the following insight: LLMs are generalized enough to preserve the quality given only a carefully chosen subset of prompt tokens. At its core, SpecPrefill leverages a lightweight model to speculate locally important tokens based on the context. These tokens, along with the necessary positional information, are then sent to the main model for processing. We evaluate SpecPrefill with a diverse set of tasks, followed by a comprehensive benchmarking of performance improvement both in a real end-to-end setting and ablation studies. SpecPrefill manages to serve Llama-3.1-405B-Instruct-FP8 with up to 7$\times$ maximal end-to-end QPS on real downstream tasks and 7.66$\times$ TTFT improvement.
|
Inference Acceleration, TTFT, Large Language Model, Efficient Inference
| null | 12,989 |
2502.02789
|
[
-0.010758497752249241,
-0.045581601560115814,
0.011059433221817017,
0.04732244834303856,
0.030725372955203056,
0.036609847098588943,
0.006359256338328123,
0.03134721890091896,
-0.015708038583397865,
-0.0009339930838905275,
-0.036068402230739594,
0.03550565987825394,
-0.05652104318141937,
-0.021012695506215096,
-0.017633555456995964,
0.05253510922193527,
0.04915322735905647,
-0.03006262518465519,
0.03797554597258568,
0.006746659055352211,
-0.0010757962008938193,
-0.012488304637372494,
0.020584560930728912,
0.00036747680860571563,
0.03128419816493988,
0.008310962468385696,
-0.0067722368985414505,
-0.0020911202300339937,
-0.0580274760723114,
0.01728971116244793,
0.02367064356803894,
0.004556072875857353,
-0.019157012924551964,
-0.03220874443650246,
-0.0022604940459132195,
-0.004658877849578857,
-0.04330335184931755,
-0.0031250969041138887,
0.008584775030612946,
0.028471143916249275,
-0.043480224907398224,
-0.003973990213125944,
0.022666694596409798,
0.025366289541125298,
-0.0611455962061882,
0.013973868452012539,
-0.08612783998250961,
-0.00343871396034956,
-0.010176858864724636,
-0.0381755568087101,
-0.07700995355844498,
0.028659647330641747,
-0.02428237535059452,
-0.03487532213330269,
0.026377888396382332,
0.02149726264178753,
0.03244714066386223,
-0.08353236317634583,
-0.02006150223314762,
-0.031192965805530548,
0.002089898334816098,
-0.025021867826581,
0.03134818747639656,
0.01568874716758728,
-0.02342621423304081,
-0.027151156216859818,
-0.005591393448412418,
0.0368054173886776,
-0.057739149779081345,
-0.052562933415174484,
0.016888942569494247,
0.035964176058769226,
-0.04445070028305054,
0.005825236439704895,
0.006037336308509111,
-0.0035697356797754765,
-0.0044553265906870365,
0.03974222019314766,
0.06484821438789368,
0.02875937521457672,
0.014819296076893806,
0.013850634917616844,
0.06203543767333031,
0.05694950371980667,
-0.003439920721575618,
-0.0003647617995738983,
-0.010356385260820389,
-0.03982112556695938,
-0.07346200942993164,
0.05377921089529991,
0.03921910375356674,
-0.04368692636489868,
0.014689136296510696,
-0.006314580328762531,
0.0012913602404296398,
0.03431503474712372,
0.02698289416730404,
0.0019411005778238177,
-0.013611963950097561,
0.017259495332837105,
-0.007772872690111399,
-0.03460396081209183,
0.024147313088178635,
-0.0058028241619467735,
-0.10272098332643509,
-0.007000832352787256,
-0.032005246728658676,
-0.011422548443078995,
0.024361111223697662,
0.005045949947088957,
-0.023328090086579323,
-0.021694106981158257,
0.009750410914421082,
-0.003654003841802478,
-0.09852408617734909,
0.006899561267346144,
-0.006323512177914381,
0.023181619122624397,
-0.010898008942604065,
-0.006093956530094147,
0.0749494880437851,
0.05999661237001419,
0.01892240345478058,
0.05568384379148483,
0.015829073265194893,
0.040788598358631134,
0.03417400270700455,
0.02811647206544876,
0.00533781573176384,
-0.05444858968257904,
0.008964885957539082,
0.018858371302485466,
-0.00007092928717611358,
-0.01150460820645094,
-0.025958390906453133,
0.011249965056777,
0.001835179515182972,
0.01219914574176073,
0.06731954216957092,
-0.009754291735589504,
0.0018626782111823559,
-0.02101624570786953,
0.04597299546003342,
-0.03801495581865311,
0.050581589341163635,
-0.03396540880203247,
-0.047986771911382675,
-0.011421671137213707,
-0.03842523321509361,
0.02465667761862278,
-0.004039638675749302,
0.008289660327136517,
-0.011624624021351337,
-0.0638306513428688,
0.015890922397375107,
0.039134491235017776,
0.038536835461854935,
-0.009309938177466393,
0.006424969527870417,
0.03769109025597572,
0.021379880607128143,
0.019523805007338524,
-0.05422009155154228,
0.03653356805443764,
-0.0017761875642463565,
-0.031245114281773567,
0.05971244350075722,
-0.006104028783738613,
-0.016058659180998802,
0.025114357471466064,
-0.02490779384970665,
-0.02066909708082676,
0.08118779212236404,
0.007907599210739136,
-0.00338552612811327,
-0.011034428142011166,
0.05768898129463196,
-0.03332260623574257,
0.026837075129151344,
0.05280787870287895,
-0.07025913894176483,
0.029920628294348717,
0.026356426998972893,
0.01182281132787466,
0.004085537977516651,
-0.017608944326639175,
0.0637679174542427,
-0.031695712357759476,
-0.027477072551846504,
0.00018825991719495505,
-0.07597639411687851,
-0.001692418591119349,
0.009730934165418148,
-0.011277913115918636,
0.08010932803153992,
-0.03456902876496315,
0.01120509672909975,
0.03440525382757187,
0.03745909035205841,
0.046625539660453796,
0.06782900542020798,
-0.009232580661773682,
0.02497694455087185,
-0.0008522596908733249,
-0.0485352948307991,
0.028070807456970215,
0.03296222165226936,
-0.0577087327837944,
-0.037048932164907455,
0.019742559641599655,
-0.007258081343024969,
0.014054193161427975,
0.011776556260883808,
0.00451087998226285,
-0.014286095276474953,
0.008839740417897701,
-0.010385182686150074,
0.0074001518078148365,
0.004120958037674427,
-0.0465870127081871,
0.04910945147275925,
0.02182481810450554,
-0.014732547104358673,
-0.0028388681821525097,
-0.04087035357952118,
0.1100136935710907,
0.04048646613955498,
-0.04980001598596573,
0.03219972550868988,
0.012018906883895397,
0.017297085374593735,
-0.005853697191923857,
-0.000196951994439587,
-0.06703435629606247,
0.02825857698917389,
-0.04884697124361992,
-0.01419567596167326,
-0.013420423492789268,
0.044673264026641846,
-0.011740580201148987,
0.011760291643440723,
0.0623837485909462,
-0.0455092154443264,
0.06967944651842117,
0.022874630987644196,
0.003941402304917574,
0.027216261252760887,
-0.033221285790205,
-0.032993435859680176,
-0.04455416277050972,
0.005670233629643917,
0.013539672829210758,
-0.00638175243511796,
-0.0004940076032653451,
0.0010787566425278783,
-0.029802707955241203,
-0.04083934798836708,
0.009387414902448654,
0.03192529454827309,
0.0475916750729084,
0.025476474314928055,
0.011348285712301731,
0.02434420771896839,
-0.031741660088300705,
-0.012693761847913265,
-0.12076195329427719,
-0.008905328810214996,
-0.01677217334508896,
0.026712775230407715,
0.0069010197184979916,
0.05225779488682747,
-0.008321122266352177,
-0.011469891294836998,
-0.037446022033691406,
-0.045823801308870316,
0.017771586775779724,
0.028339866548776627,
-0.0030225724913179874,
-0.034110717475414276,
-0.03944006934762001,
-0.014229657128453255,
0.039637722074985504,
-0.0446009524166584,
-0.03751809895038605,
-0.049399327486753464,
-0.021486233919858932,
0.008365120738744736,
-0.050609346479177475,
-0.001622842624783516,
0.0010626796865835786,
0.02007640339434147,
-0.001494985306635499,
-0.027174869552254677,
0.02839593216776848,
0.059133097529411316,
0.059879906475543976,
0.043878909200429916,
0.032673757523298264,
-0.031148187816143036,
0.05790166184306145,
0.006839765701442957,
0.013548482209444046,
-0.01240452378988266,
0.039085276424884796,
-0.014503060840070248,
-0.0003274170740041882,
0.0023230700753629208,
-0.006232180632650852,
-0.29005980491638184,
-0.008433879353106022,
-0.000986145343631506,
-0.048022497445344925,
0.028414612635970116,
-0.021893372759222984,
0.05009680613875389,
-0.006606722716242075,
-0.015345471911132336,
0.02104329504072666,
0.002126202918589115,
0.038049496710300446,
-0.011589794419705868,
0.03154876455664635,
0.04953377693891525,
0.009110945276916027,
-0.004331533797085285,
0.0038367114029824734,
0.030229883268475533,
0.04738598316907883,
0.010027683340013027,
-0.07830023765563965,
-0.013929689303040504,
0.0650414526462555,
0.010319720953702927,
0.024647701531648636,
-0.0919661596417427,
0.012236492708325386,
-0.04528306424617767,
-0.007024118211120367,
-0.01733786053955555,
-0.012104594148695469,
0.02436446212232113,
0.022207079455256462,
0.00017682126781437546,
-0.004985226783901453,
0.05134183168411255,
0.010159805417060852,
0.04362499341368675,
0.021858124062418938,
0.011505793780088425,
-0.03183344751596451,
-0.011421220377087593,
0.008146938867866993,
0.055036913603544235,
0.0014827889390289783,
-0.042408883571624756,
-0.0261892918497324,
-0.0112496018409729,
0.040075816214084625,
-0.036137256771326065,
-0.039803504943847656,
-0.04845044016838074,
0.011491924524307251,
0.022826075553894043,
-0.04845656454563141,
-0.01652086339890957,
-0.03772500529885292,
-0.015676239505410194,
0.009369965642690659,
0.0012893469538539648,
-0.04924267902970314,
-0.02092699147760868,
-0.02182774245738983,
-0.05957372114062309,
-0.04223081097006798,
-0.056299228221178055,
-0.047393057495355606,
0.05131968855857849,
0.013320805504918098,
-0.016611985862255096,
0.024103771895170212,
0.006768134888261557,
-0.08647393435239792,
-0.013807841576635838,
0.021029658615589142,
-0.02587173692882061,
-0.0023228737991303205,
-0.0031701314728707075,
0.04550419747829437,
-0.02976931631565094,
-0.06945137679576874,
0.015204867348074913,
0.005643237382173538,
0.025152212008833885,
-0.04572466388344765,
-0.053141772747039795,
-0.024635789915919304,
-0.026897437870502472,
-0.03126491233706474,
0.050828903913497925,
-0.024430809542536736,
0.00044387741945683956,
0.010878577828407288,
0.04288506507873535,
0.028063585981726646,
0.010721021331846714,
0.06939414888620377,
0.010331028141081333,
0.0065099275670945644,
0.039498794823884964,
-0.04118620604276657,
-0.020243659615516663,
-0.02720918506383896,
-0.01921519637107849,
0.020723916590213776,
-0.02035997435450554,
-0.02693479135632515,
0.02284381352365017,
0.020652472972869873,
-0.04949915409088135,
-0.020817315205931664,
-0.002138132695108652,
0.03572377562522888,
-0.03441745415329933,
-0.00506697129458189,
0.004606898408383131,
0.03339535370469093,
0.03335244953632355,
0.0047805411741137505,
-0.0009701200760900974,
0.016740046441555023,
-0.048252783715724945,
-0.00873776525259018,
0.008326544426381588,
-0.015375349670648575,
-0.0026127200108021498,
-0.0009563559433445334,
-0.012377211824059486,
-0.01399117149412632,
0.0007878292235545814,
0.026902692392468452,
-0.02272418886423111,
0.013342034071683884,
0.06110736355185509,
-0.01761600747704506,
0.013312185183167458,
-0.015469481237232685,
0.03957759588956833,
-0.029780656099319458,
0.021971410140395164,
-0.02384953200817108,
0.04236915335059166,
0.022023705765604973,
0.05632434040307999,
0.01216298621147871,
0.004123893100768328,
-0.0034499631728976965,
-0.004738673567771912,
0.016718754544854164,
0.042838580906391144,
-0.01283300295472145,
-0.01138648483902216,
-0.03735147416591644,
0.026999032124876976,
-0.009087035432457924,
0.022131361067295074,
-0.016468595713377,
0.013967661187052727,
-0.06045603007078171,
0.04356217756867409,
-0.013098735362291336,
0.007336306851357222,
-0.021425018087029457,
0.054006513208150864,
0.016435477882623672,
-0.014537139795720577,
0.017779963091015816,
0.005907668266445398,
0.037280309945344925,
-0.020806893706321716,
-0.03227059170603752,
-0.023479213938117027,
0.02087104693055153,
-0.008114303462207317,
-0.003044788958504796,
-0.0052569261752069,
-0.014905923046171665,
-0.017450431361794472,
0.050086166709661484,
-0.004392803180962801,
-0.0020049777813255787,
0.0034680510871112347,
0.04073120281100273,
0.10378856211900711,
0.013242028653621674,
0.01533958874642849,
0.009604305028915405,
-0.03946203365921974,
0.03873518854379654,
-0.022155923768877983,
-0.007233789190649986,
-0.0018045345786958933,
-0.03937804326415062,
-0.04221120849251747,
-0.06694411486387253,
-0.01815854385495186,
0.05013078451156616,
0.006617824546992779,
-0.02083100937306881,
-0.03617159649729729,
-0.03398346155881882,
-0.014715719036757946,
-0.038793206214904785,
0.05914659798145294,
-0.05994207039475441,
-0.006851751822978258,
-0.002850484335795045,
-0.014586912468075752,
0.03189617022871971,
0.0010974113829433918,
-0.0550222285091877,
-0.05211099609732628,
-0.017874572426080704,
-0.00876627303659916,
-0.027414530515670776,
-0.019820522516965866,
0.019444288685917854,
0.016035426408052444,
-0.01860198751091957,
0.0070841386914253235,
-0.021132702007889748,
0.01346874050796032,
-0.024311769753694534,
-0.006214797962456942,
0.036152467131614685,
-0.029280878603458405,
-0.005152483936399221,
0.025160660967230797,
-0.031033512204885483,
0.019509121775627136,
-0.07879004627466202,
0.037511568516492844,
0.07653310894966125,
-0.01286397222429514,
0.01978280581533909,
-0.05232517793774605,
0.06019984185695648,
-0.015175750479102135,
-0.01019626297056675,
0.01614907570183277,
-0.035415783524513245,
-0.015878597274422646,
-0.012515525333583355,
-0.05434144660830498,
0.03038828819990158,
0.03783707320690155,
0.012119205668568611,
-0.010116835124790668,
0.02831989713013172,
-0.004897520877420902,
0.04018859192728996,
-0.075360968708992,
0.0225127674639225,
0.05174851417541504,
-0.06607013195753098,
-0.06507271528244019,
-0.04660560190677643,
-0.04355284571647644,
-0.005385647062212229,
-0.0016400968888774514,
0.0005515167722478509,
-0.031955037266016006,
0.03715500980615616,
0.04635504633188248,
0.06800153106451035,
0.0043923757039010525,
-0.02909066714346409,
0.038557425141334534,
-0.0223510954529047,
-0.0019590407609939575,
-0.06938068568706512,
-0.03163961321115494,
0.06003786250948906,
-0.028129030019044876,
-0.014264283701777458,
-0.005881032440811396,
-0.04238690808415413,
0.029385508969426155,
-0.0057066939771175385,
-0.04521390050649643,
0.011129661463201046,
-0.036192066967487335,
0.006291976198554039,
0.03483611345291138,
-0.04333421587944031,
-0.024791426956653595,
-0.028634289279580116,
-0.0021436535753309727,
-0.010630808770656586,
0.010271066799759865,
0.054211538285017014,
0.000683921913150698,
0.0030959344003349543,
-0.03396361693739891,
-0.0027148963417857885,
0.02625184878706932,
0.06546564400196075,
0.008942017331719398,
0.02166835032403469,
-0.008294738829135895,
0.06479747593402863,
0.045718416571617126,
-0.01575380563735962,
0.01715981215238571,
-0.002878231694921851,
-0.01994343288242817,
-0.04571893811225891,
0.05453498288989067,
0.014684650115668774,
-0.017626885324716568,
-0.07059195637702942,
0.04545827582478523,
0.03591010719537735,
-0.026074213907122612,
-0.026885412633419037,
0.014146210625767708,
-0.037235457450151443,
-0.028463901951909065,
-0.02784104458987713,
-0.0010219442192465067,
-0.020985333248972893,
0.06276436150074005,
0.0157676562666893,
0.03801244869828224,
0.0875108614563942,
0.019652167335152626,
0.0028560555074363947,
-0.008192663080990314,
0.06948435306549072,
0.06069967895746231,
0.051230981945991516,
-0.002053525298833847,
0.0430203340947628,
-0.037947677075862885,
-0.04332279413938522,
0.002669269684702158,
0.04878365248441696,
0.011910934001207352,
-0.02502424642443657,
0.051011186093091965,
0.07997409999370575,
0.019428199157118797,
0.08613377064466476,
-0.06064023822546005,
-0.008509472943842411,
0.04768773913383484,
0.03328222408890724,
0.009575572796165943,
0.07950782775878906,
0.02986828051507473,
0.00518885999917984,
-0.015161567367613316,
-0.04512197524309158,
0.02400575391948223,
-0.028238438069820404,
0.001678290544077754,
0.020513279363512993,
-0.018762290477752686,
-0.0007601857068948448,
-0.006111765746027231,
0.05435490980744362,
0.10218697041273117,
-0.04734951630234718,
-0.048485275357961655,
0.020267440006136894,
0.009176108054816723,
0.024998515844345093,
0.06088601425290108,
-0.005720825400203466,
-0.013275961391627789,
-0.00709834648296237,
-0.027065124362707138,
0.006952641066163778,
0.01972377672791481,
-0.003559659468010068,
0.03978142514824867,
-0.02313195914030075,
-0.02078881673514843,
0.023886023089289665,
-0.003228965913876891,
-0.05491701140999794,
-0.07716581225395203,
-0.02776263654232025,
-0.04604940116405487,
-0.0525236651301384,
-0.04396175965666771,
-0.019681056961417198,
0.011696499772369862,
-0.029011869803071022,
-0.04175051301717758,
-0.05129491910338402,
0.01190605666488409,
0.02410109154880047,
-0.05840206891298294,
-0.014340098015964031,
0.03200992941856384,
-0.034597091376781464,
-0.034369297325611115,
0.013714316301047802,
0.028313850983977318,
-0.0004571633762679994,
-0.005962536670267582,
0.015432638116180897,
0.05516912043094635,
0.013283895328640938,
-0.008690433576703072,
-0.003690919606015086,
-0.07694631814956665,
0.012394209392368793,
0.010998022742569447,
-0.0016177400248125196,
-0.09029442816972733,
0.009485614486038685,
-0.03110986389219761,
-0.0015286649577319622,
0.06976167857646942,
0.007436817511916161,
0.040301043540239334,
-0.056148137897253036,
-0.018193701282143593,
0.044542282819747925,
0.01432446762919426,
0.03518060967326164,
-0.025994503870606422,
0.07479477673768997,
0.020876191556453705,
-0.02855701930820942,
-0.02675512060523033,
0.018185023218393326,
-0.010330644436180592,
-0.032285530120134354,
-0.020550649613142014,
0.005514591466635466,
-0.03044956363737583,
-0.0725465789437294,
0.00442136637866497,
0.004596946761012077,
0.013898576609790325,
-0.03332217037677765,
0.01632041670382023,
-0.014426992274820805,
-0.003217849647626281,
0.014557239599525928,
-0.014492388814687729,
-0.03760853037238121,
-0.011497929692268372,
-0.041639018803834915,
-0.0727967619895935,
0.008678355254232883,
-0.0018610372208058834,
0.014085794799029827,
-0.027840206399559975,
-0.01468577329069376,
0.0067834509536623955,
-0.006870434153825045,
0.07422150671482086,
-0.003262984100729227,
0.0034533212892711163,
-0.03191408887505531
] |
https://github.com/Jingyu6/speculative_prefill
|
566 |
Improved Learning via k-DTW: A Novel Dissimilarity Measure for Curves
|
https://openreview.net/forum?id=VCjPjexvpM
|
[
"Amer Krivošija",
"Alexander Munteanu",
"André Nusser",
"Chris Schwiegelshohn"
] |
Poster
|
This paper introduces $k$-Dynamic Time Warping ($k$-DTW), a novel dissimilarity measure for polygonal curves. $k$-DTW has stronger metric properties than Dynamic Time Warping (DTW) and is more robust to outliers than the Fréchet distance, which are the two gold standards of dissimilarity measures for polygonal curves. We show interesting properties of $k$-DTW and give an exact algorithm as well as a $(1+\varepsilon)$-approximation algorithm for $k$-DTW by a parametric search for the $k$-th largest matched distance. We prove the first dimension-free learning bounds for curves and further learning theoretic results. $k$-DTW not only admits smaller sample size than DTW for the problem of learning the median of curves, where some factors depending on the curves' complexity $m$ are replaced by $k$, but we also show a surprising separation on the associated Rademacher and Gaussian complexities: $k$-DTW admits strictly smaller bounds than DTW, by a factor $\tilde\Omega(\sqrt{m})$ when $k\ll m$. We complement our theoretical findings with an experimental illustration of the benefits of using $k$-DTW for clustering and nearest neighbor classification.
|
polygonal curves, dynamic time warping, learning theory, clustering, classification
|
We introduce $k$-DTW, a novel distance for polygonal curves that generalizes and provides the best of the gold standards: DTW and Fréchet distances.
| 12,988 | null |
[
-0.013111495412886143,
-0.04253378137946129,
0.013669407926499844,
0.04976149648427963,
0.027710065245628357,
0.04250514879822731,
0.0356312170624733,
-0.002335114637389779,
-0.00253928080201149,
-0.06117219105362892,
-0.02370717003941536,
-0.019111065194010735,
-0.04170171171426773,
0.023924781009554863,
0.028465021401643753,
0.05152079090476036,
0.031684402376413345,
-0.0241212397813797,
0.012883655726909637,
0.025762930512428284,
-0.005705253686755896,
-0.06883122771978378,
0.014036158099770546,
0.017194079235196114,
0.004879595246165991,
-0.01257710438221693,
0.009037335403263569,
0.02683902345597744,
-0.027560554444789886,
0.004815008491277695,
0.03220006078481674,
-0.008535545319318771,
-0.007450479548424482,
-0.03487704321742058,
0.027056388556957245,
-0.0023369553964585066,
-0.021725989878177643,
-0.009031006135046482,
0.004734155256301165,
0.004972050432115793,
-0.04363779351115227,
-0.0066286358051002026,
0.01837332919239998,
0.024402884766459465,
-0.07281545549631119,
0.0067197661846876144,
-0.11384240537881851,
0.028119970113039017,
-0.010266102850437164,
0.007492897566407919,
-0.04577995464205742,
0.0511087067425251,
0.015351787209510803,
0.03948545455932617,
-0.030056672170758247,
0.058471012860536575,
0.03592054918408394,
-0.0576707124710083,
0.022897940129041672,
-0.04200027510523796,
-0.008238625712692738,
0.010914791375398636,
0.02630660869181156,
0.0028757911641150713,
-0.019595148041844368,
-0.016520507633686066,
0.0018313837936148047,
0.04362159222364426,
-0.0019110311986878514,
-0.03381090238690376,
0.0057390350848436356,
-0.015119514428079128,
0.002575392136350274,
0.04022315889596939,
-0.0017739732284098864,
-0.012105553410947323,
0.009015542455017567,
0.004394024610519409,
0.06944584101438522,
-0.003910324536263943,
0.030717510730028152,
0.013470345176756382,
0.009857047349214554,
0.038891710340976715,
-0.007290936075150967,
-0.01917312853038311,
-0.03482508286833763,
-0.02030804567039013,
-0.09089827537536621,
0.04073050618171692,
-0.02130989544093609,
-0.033382538706064224,
0.04096312075853348,
0.013183580711483955,
0.02032797411084175,
0.009977582842111588,
0.010928925126791,
0.028256021440029144,
0.015130328014492989,
-0.014220788143575191,
-0.033183753490448,
-0.025113072246313095,
-0.02399960346519947,
0.028818070888519287,
-0.09076259285211563,
-0.07106166332960129,
-0.014505276456475258,
-0.006185952574014664,
0.0046085696667432785,
0.02366252988576889,
-0.054325006902217865,
-0.009137555956840515,
0.04406961798667908,
-0.005806237459182739,
-0.08385159820318222,
0.034147925674915314,
0.014268137514591217,
0.0063920593820512295,
-0.029867274686694145,
-0.025574160739779472,
0.03966740891337395,
0.024375353008508682,
-0.023825693875551224,
0.050922222435474396,
0.023599738255143166,
0.02761673927307129,
0.027882477268576622,
0.029778167605400085,
-0.0383349247276783,
-0.021498795598745346,
0.03336811810731888,
0.04972809925675392,
-0.0213229488581419,
0.018360085785388947,
0.029320435598492622,
-0.034722816199064255,
-0.021196044981479645,
0.008607819676399231,
0.011194565333425999,
-0.00022771053772885352,
0.012500584125518799,
-0.04006686806678772,
0.019795220345258713,
-0.02716357260942459,
0.024874716997146606,
-0.032517775893211365,
-0.0143359350040555,
-0.03766046464443207,
-0.024132508784532547,
-0.023744044825434685,
-0.022908026352524757,
-0.005190235562622547,
-0.015122483484447002,
-0.08282744884490967,
0.014548303559422493,
0.060152746737003326,
-0.005006198771297932,
0.04528612270951271,
0.0004907881375402212,
-0.009767117910087109,
-0.018443593755364418,
-0.017664816230535507,
-0.036800485104322433,
-0.004365164320915937,
0.012603262439370155,
-0.05787160247564316,
0.08369658887386322,
0.04872233048081398,
-0.013723938725888729,
-0.004389594774693251,
-0.05232835188508034,
-0.03308306634426117,
0.054210808128118515,
-0.006556247361004353,
0.0068449825048446655,
-0.003917822614312172,
0.04422186315059662,
-0.002808530116453767,
0.015830347314476967,
0.025713596493005753,
-0.09746669232845306,
0.046572960913181305,
0.010854536667466164,
-0.020967328920960426,
0.032593272626399994,
-0.03698571026325226,
0.0824047327041626,
-0.04497767239809036,
0.0015979083254933357,
-0.0011667384533211589,
-0.05084805563092232,
-0.030319208279252052,
0.0356452539563179,
-0.03767748922109604,
0.06701399385929108,
0.01002874132245779,
-0.01252149511128664,
0.00437155831605196,
-0.01955428719520569,
0.03401567414402962,
0.053482260555028915,
-0.006303415168076754,
0.07740394026041031,
-0.024036748334765434,
-0.023799585178494453,
-0.018059950321912766,
0.023956963792443275,
-0.09003368020057678,
-0.016036301851272583,
-0.035138994455337524,
0.023609792813658714,
-0.011620971374213696,
0.025857608765363693,
-0.001453235512599349,
0.01436553429812193,
0.021776393055915833,
0.0233570858836174,
0.00031554323504678905,
0.017757300287485123,
-0.0666884034872055,
0.008574822917580605,
0.041228294372558594,
-0.0607609897851944,
-0.00065034837462008,
-0.04537562280893326,
0.09201876819133759,
0.07177415490150452,
-0.03281779587268829,
0.02302117832005024,
-0.007109412923455238,
-0.035355065017938614,
0.018156884238123894,
-0.0003522451443132013,
-0.03363770991563797,
0.00293014757335186,
-0.004056228790432215,
0.02246842347085476,
-0.05614469572901726,
0.0602799691259861,
-0.034924671053886414,
-0.0018962088506668806,
0.08044645935297012,
-0.02482268214225769,
0.05588734894990921,
0.047823090106248856,
0.017399972304701805,
0.049748990684747696,
0.014064605347812176,
-0.0424468107521534,
-0.019400330260396004,
-0.021428575739264488,
0.028470836579799652,
0.02482798881828785,
-0.024646690115332603,
0.0021317098289728165,
-0.044000737369060516,
0.004444562364369631,
-0.03423416242003441,
0.09502338618040085,
0.02810288779437542,
0.05614976957440376,
0.01818942464888096,
0.021704645827412605,
0.007907303050160408,
-0.013813713565468788,
-0.0963158831000328,
-0.04888497665524483,
-0.01610954850912094,
0.04752211645245552,
0.04751862585544586,
0.025729376822710037,
0.0002086637687170878,
0.017173342406749725,
0.001795066986232996,
-0.02926308661699295,
-0.007433741353452206,
0.004715203307569027,
0.016814889386296272,
-0.053548041731119156,
-0.0047046951949596405,
0.0005031745531596243,
0.05020466074347496,
-0.0014875521883368492,
-0.02341778390109539,
-0.021292882040143013,
-0.033098846673965454,
0.0003758029779419303,
-0.0256499070674181,
-0.028454728424549103,
0.030603038147091866,
-0.019713077694177628,
0.03876641020178795,
-0.04872254282236099,
-0.005689575802534819,
0.08337845653295517,
0.05558227747678757,
0.014078155159950256,
-0.04192568361759186,
-0.001017850125208497,
-0.0150454705581069,
-0.00781470537185669,
0.04193906486034393,
0.02592727169394493,
0.0113074891269207,
-0.023568876087665558,
0.043541256338357925,
-0.03127820044755936,
-0.028797747567296028,
-0.29012370109558105,
-0.027550188824534416,
0.011964265257120132,
-0.012836908921599388,
0.014807652682065964,
0.018022647127509117,
0.06048782914876938,
-0.006158365402370691,
-0.03284886106848717,
0.01574775204062462,
0.0029068372678011656,
0.0023925683926790953,
-0.028284786269068718,
0.06342975795269012,
0.039964791387319565,
0.013012084178626537,
-0.025217639282345772,
-0.014081109315156937,
0.014476452022790909,
0.05417955666780472,
-0.02910039760172367,
-0.06902573257684708,
-0.012265142984688282,
0.02457873523235321,
-0.026736227795481682,
0.03388014808297157,
-0.08586990088224411,
-0.009758641943335533,
-0.04536249861121178,
-0.010135483928024769,
-0.0018818003591150045,
-0.04168151691555977,
-0.009185120463371277,
0.051300354301929474,
0.010432172566652298,
0.003626067191362381,
0.01629878580570221,
0.004920507315546274,
0.02881263755261898,
0.024226222187280655,
0.01903703063726425,
0.0205965805798769,
-0.011381925083696842,
0.011289448477327824,
0.06871670484542847,
0.041845858097076416,
-0.014915215782821178,
0.01739056408405304,
0.012561975046992302,
0.015819301828742027,
0.02507573366165161,
-0.037401918321847916,
-0.0056731123477220535,
-0.014769654721021652,
-0.0331154465675354,
-0.05213248357176781,
0.017010219395160675,
-0.01967104710638523,
-0.041482310742139816,
0.02893982268869877,
0.031918685883283615,
-0.04094788804650307,
0.007631662767380476,
-0.041217006742954254,
-0.013110650703310966,
-0.0480286106467247,
-0.09438886493444443,
-0.057051919400691986,
0.05170317366719246,
0.039760466665029526,
-0.018599802628159523,
0.028767744079232216,
-0.014045597985386848,
-0.1043229028582573,
0.029838666319847107,
0.0327749140560627,
-0.010690546594560146,
-0.026612713932991028,
0.014104784466326237,
0.051600296050310135,
-0.04580363258719444,
-0.026372244581580162,
0.04004159942269325,
0.013088359497487545,
-0.018494345247745514,
-0.014101493172347546,
-0.012918645516037941,
-0.02479587495326996,
-0.00607245322316885,
-0.046133749186992645,
0.02230357564985752,
-0.03984791040420532,
0.024220986291766167,
0.001342074596323073,
0.018300378695130348,
0.03258674219250679,
0.048875052481889725,
0.046200018376111984,
0.041779033839702606,
-0.029019631445407867,
-0.005812984891235828,
-0.08789543807506561,
-0.00960508082062006,
-0.012396235950291157,
-0.015419953502714634,
0.009520824067294598,
-0.02681824006140232,
-0.022742118686437607,
0.04336103796958923,
0.003778901183977723,
-0.03494482859969139,
-0.040816668421030045,
-0.0004642092389985919,
-0.007392060477286577,
0.023097846657037735,
-0.04347089305520058,
0.000497822358738631,
0.015864236280322075,
-0.0007567974971607327,
-0.04013383761048317,
0.003148451214656234,
0.020097611472010612,
-0.02609170228242874,
0.009087230078876019,
0.004347419831901789,
0.018965333700180054,
-0.03711916133761406,
-0.009424133226275444,
-0.002171941101551056,
0.027654623612761497,
0.023660480976104736,
0.0648646354675293,
0.030624588951468468,
0.04484013468027115,
0.05171072110533714,
0.04355219379067421,
-0.04626188799738884,
-0.01679985411465168,
0.028319278731942177,
-0.03621834143996239,
0.028331337496638298,
0.0035795029252767563,
0.058030106127262115,
0.022163253277540207,
0.03505149483680725,
0.004398121498525143,
-0.006045501213520765,
-0.004255577921867371,
-0.008066033944487572,
-0.05858785659074783,
0.010343663394451141,
-0.03576349839568138,
0.02217252366244793,
-0.04307151958346367,
0.029295282438397408,
-0.01018928550183773,
0.04314462095499039,
0.04321631044149399,
0.006798894144594669,
-0.05828676372766495,
0.06815578788518906,
0.005580235738307238,
-0.049779072403907776,
-0.047734640538692474,
0.02234691195189953,
0.06540676206350327,
-0.006728421431034803,
-0.010683436878025532,
0.026948250830173492,
0.011990811675786972,
0.017417695373296738,
-0.01442694291472435,
-0.035205669701099396,
-0.017372557893395424,
-0.013425126671791077,
-0.0099642900750041,
0.02846241556107998,
0.009917699731886387,
-0.03455675020813942,
0.01835244707763195,
0.0060619087889790535,
-0.005674915388226509,
-0.019856924191117287,
0.011707752011716366,
0.06784828752279282,
0.03590032458305359,
-0.016436144709587097,
-0.015302619896829128,
-0.04249085485935211,
0.058999430388212204,
-0.004433832131326199,
0.0005512017523869872,
-0.04783846065402031,
-0.021756568923592567,
-0.003198688616976142,
-0.05818764865398407,
0.03973216935992241,
0.011572103947401047,
-0.028039686381816864,
-0.0175437331199646,
-0.019118087366223335,
0.02219201996922493,
-0.011946246959269047,
-0.0037818385753780603,
0.06932578235864639,
-0.033924587070941925,
0.017676640301942825,
0.05138784646987915,
-0.034037262201309204,
-0.021889662370085716,
-0.035847801715135574,
-0.03998475521802902,
-0.025636132806539536,
-0.04725721850991249,
-0.012532989494502544,
-0.0032479336950927973,
-0.008343045599758625,
-0.0321064330637455,
0.014885000884532928,
-0.010864358395338058,
0.015388569794595242,
0.02108311653137207,
-0.019627997651696205,
0.027586739510297775,
0.0000341508821293246,
0.07255831360816956,
-0.04370677098631859,
-0.023388061672449112,
0.006053436081856489,
-0.003441102569922805,
0.011476809158921242,
-0.05032147467136383,
0.01829994097352028,
0.048317037522792816,
-0.012855027802288532,
-0.002473902888596058,
-0.04943259805440903,
0.013723132200539112,
-0.015912845730781555,
-0.0020640918519347906,
0.016677550971508026,
-0.002936970442533493,
-0.018799427896738052,
0.013277895748615265,
0.019865209236741066,
0.028400413691997528,
0.01527052465826273,
-0.006713908165693283,
0.004297482315450907,
0.05073968321084976,
0.002714582486078143,
0.019009843468666077,
-0.06012493371963501,
-0.050432730466127396,
0.02203349396586418,
-0.031070470809936523,
-0.02516777440905571,
-0.057147517800331116,
-0.0367407463490963,
0.030362963676452637,
-0.0517975315451622,
0.015581526793539524,
0.011633996851742268,
0.032892897725105286,
0.0012541523901745677,
0.06065686047077179,
0.011796863749623299,
-0.005375807639211416,
0.008690924383699894,
-0.07510722428560257,
-0.009204423986375332,
-0.06336911767721176,
0.030544541776180267,
0.06858860701322556,
-0.028587929904460907,
0.016901887953281403,
0.008597098290920258,
-0.000025112020011874847,
0.050019439309835434,
-0.03873254731297493,
-0.051511846482753754,
0.004160653334110975,
-0.027704499661922455,
-0.013282442465424538,
0.0008345560636371374,
-0.02317367121577263,
0.01775861717760563,
-0.014307172037661076,
-0.06102432310581207,
-0.006544255185872316,
0.02807852439582348,
0.007235180586576462,
0.0052592274732887745,
0.02961072139441967,
-0.03715386986732483,
0.010526983998715878,
0.028902841731905937,
0.057020705193281174,
0.017571555450558662,
0.01788823865354061,
-0.05230049043893814,
0.08305870741605759,
0.05422719195485115,
-0.0036265968810766935,
-0.01880021020770073,
0.04086615890264511,
0.010711978189647198,
-0.04557906091213226,
0.0743502527475357,
0.020536942407488823,
-0.004058831371366978,
-0.04517249017953873,
0.047107864171266556,
0.03273830935359001,
-0.04000076651573181,
-0.02638726867735386,
0.04074471443891525,
-0.05332136154174805,
0.0310452189296484,
0.006043359637260437,
-0.02017066441476345,
-0.014671403914690018,
0.07159402221441269,
-0.016298552975058556,
0.00701121287420392,
0.044482238590717316,
-0.01580577716231346,
0.005720422137528658,
-0.02035369537770748,
0.0665685310959816,
0.0570341981947422,
0.03220395743846893,
-0.024036532267928123,
0.06197655200958252,
-0.01496266108006239,
-0.0174996480345726,
0.008876319043338299,
0.022328073158860207,
-0.0011579227866604924,
-0.02084202878177166,
0.013030126690864563,
0.049109622836112976,
0.01596653461456299,
0.07651615142822266,
-0.06374772638082504,
0.003293811110779643,
0.011464860290288925,
0.0007735294057056308,
0.00503192562609911,
0.019266270101070404,
0.02593318000435829,
0.026228738948702812,
-0.03572475165128708,
-0.0326763391494751,
0.02412709966301918,
0.010852450504899025,
0.015645839273929596,
0.022762365639209747,
0.0024902261793613434,
0.026050541549921036,
-0.0025965163949877024,
0.04030007869005203,
0.10413210093975067,
-0.033546581864356995,
-0.06135072186589241,
0.011303294450044632,
0.028570011258125305,
0.03035861626267433,
0.046907052397727966,
0.026360703632235527,
-0.003772082505747676,
0.0024722223170101643,
-0.057669807225465775,
0.026210131123661995,
0.004752868786454201,
0.004640729166567326,
0.013794009573757648,
-0.004670481663197279,
-0.0088399862870574,
0.04430588707327843,
-0.017361819744110107,
-0.028609542176127434,
-0.05197236314415932,
-0.015594430267810822,
-0.04217209294438362,
-0.05117093026638031,
-0.06362360715866089,
0.03559941053390503,
-0.004257760941982269,
-0.06079550459980965,
0.0005207238136790693,
-0.04269028455018997,
0.0111928666010499,
0.012386496178805828,
-0.09935081005096436,
-0.004814701620489359,
0.041982151567935944,
0.011775725521147251,
0.017533238977193832,
0.0302754957228899,
0.033800795674324036,
-0.01812434010207653,
-0.03692559525370598,
0.011120270937681198,
-0.010072308592498302,
0.0365048311650753,
-0.006454491522163153,
0.0008228353108279407,
-0.07485800236463547,
-0.022950829938054085,
-0.005098307970911264,
-0.025670822709798813,
-0.08105139434337616,
0.01996147632598877,
-0.03332718089222908,
0.03769950196146965,
0.03975000977516174,
0.001070002792403102,
-0.007321344688534737,
-0.06329091638326645,
-0.009784070774912834,
-0.022670820355415344,
-0.003949627745896578,
0.05281390622258186,
-0.017423344776034355,
0.05125260725617409,
0.04084859415888786,
-0.020910851657390594,
-0.01255038846284151,
0.015440600924193859,
-0.01870313473045826,
-0.022660577669739723,
-0.02948356792330742,
-0.03452166169881821,
-0.04266738146543503,
-0.08915099501609802,
-0.014164412394165993,
0.05067278817296028,
0.013803008012473583,
-0.0288336593657732,
0.025420846417546272,
0.02494952827692032,
-0.0025316730607300997,
-0.010734520852565765,
-0.028950177133083344,
-0.008368061855435371,
-0.05296136438846588,
-0.01026498805731535,
-0.06720498949289322,
0.00655427435413003,
-0.023073609918355942,
0.01284601166844368,
-0.00702999671921134,
-0.043887995183467865,
-0.012215965427458286,
-0.02993105910718441,
0.010484155267477036,
0.014014186337590218,
0.042695123702287674,
-0.01665976457297802
] |
https://github.com/akrivosija/kDTW
|
567 |
Multi-Marginal Stochastic Flow Matching for High-Dimensional Snapshot Data at Irregular Time Points
|
https://openreview.net/forum?id=ZLyb8DwXXE
|
[
"Justin Lee",
"Behnaz Moradijamei",
"Heman Shakeri"
] |
Poster
|
Modeling the evolution of high-dimensional systems from limited snapshot observations at irregular time points poses a significant challenge in quantitative biology and related fields. Traditional approaches often rely on dimensionality reduction techniques, which can oversimplify the dynamics and fail to capture critical transient behaviors in non-equilibrium systems. We present Multi-Marginal Stochastic Flow Matching (MMSFM), a novel extension of simulation-free score and flow matching methods to the multi-marginal setting, enabling the alignment of high-dimensional data measured at non-equidistant time points without reducing dimensionality. The use of measure-valued splines enhances robustness to irregular snapshot timing, and score matching prevents overfitting in high-dimensional spaces. We validate our framework on several synthetic and benchmark datasets and apply it to single-cell perturbation data from melanoma cell lines and gene expression data collected at uneven time points.
|
Stochastic Flow Matching, Multi-Marginal Optimal Transport, Irregular Time Points, Snapshot Data, Simulation-Free Methods, Score Matching, Generative Models, Single-Cell Data
|
Modeling the evolution of high-dimensional systems from irregular timed sampled snapshots using overlapping windows of marginal distributions and measure-valued splines.
| 12,986 | null |
[
-0.007767098490148783,
-0.02708871103823185,
-0.012929297052323818,
0.04329446330666542,
0.03931646794080734,
0.05882235988974571,
0.04224060848355293,
-0.009067670442163944,
-0.021174265071749687,
-0.04790955409407616,
0.04571879655122757,
-0.0374649278819561,
-0.07734371721744537,
0.0021753294859081507,
-0.004987729247659445,
0.039211586117744446,
0.023518703877925873,
-0.024812154471874237,
0.036658283323049545,
0.03405267745256424,
-0.037927497178316116,
-0.008112026378512383,
0.03650461509823799,
0.04887865483760834,
0.016219427809119225,
-0.024824317544698715,
-0.009500828571617603,
-0.012787384912371635,
-0.008027622476220131,
0.018356772139668465,
0.033333390951156616,
-0.00434423703700304,
0.003858443582430482,
-0.01309881266206503,
0.020517539232969284,
-0.03724396228790283,
-0.04282630234956741,
0.035984791815280914,
-0.007267850451171398,
0.025263115763664246,
-0.04180656746029854,
0.013430760242044926,
-0.008057664148509502,
0.0027161745820194483,
-0.023062340915203094,
0.01986183039844036,
-0.0797814279794693,
0.0382244773209095,
-0.020218007266521454,
-0.004810301586985588,
-0.06558433175086975,
0.023664910346269608,
0.020353201776742935,
0.010731115005910397,
0.004408673383295536,
0.020868947729468346,
0.027160217985510826,
-0.06969047337770462,
-0.013918200507760048,
-0.04751098155975342,
-0.030364368110895157,
-0.03174159303307533,
0.006558142136782408,
0.019044943153858185,
-0.014995316043496132,
-0.00024499031133018434,
0.025647927075624466,
0.057106390595436096,
-0.03782545402646065,
-0.015754472464323044,
0.014434187673032284,
0.0016176451463252306,
0.040038224309682846,
0.011894414201378822,
0.0012315510539337993,
-0.02999657392501831,
0.003879645373672247,
0.013467968441545963,
0.04403778538107872,
0.0034394939430058002,
0.029910249635577202,
0.004217570647597313,
-0.0065057892352342606,
0.03888903558254242,
0.0312538743019104,
0.0012790207983925939,
-0.06033891811966896,
-0.015411386266350746,
-0.07848143577575684,
0.0808630958199501,
-0.036591485142707825,
-0.040321364998817444,
0.013430554419755936,
0.03903447464108467,
0.026317382231354713,
-0.009672453626990318,
0.03204057365655899,
0.012511705979704857,
0.013517767190933228,
-0.008699595928192139,
-0.04821336641907692,
-0.0031922878697514534,
0.010399914346635342,
-0.012770065106451511,
-0.10839813947677612,
-0.059533681720495224,
-0.03388090431690216,
-0.01609048992395401,
-0.020378030836582184,
0.020043930038809776,
-0.030633531510829926,
0.01115885004401207,
0.008606362156569958,
0.01286295149475336,
-0.11320191621780396,
0.06740377843379974,
0.013595864176750183,
0.011462056078016758,
0.000752770050894469,
-0.037730153650045395,
0.04159148037433624,
0.03730025142431259,
-0.03772871941328049,
0.06705634295940399,
-0.029588058590888977,
0.016256064176559448,
0.026187729090452194,
-0.0030623094644397497,
-0.039616599678993225,
-0.011277350597083569,
-0.010883445851504803,
0.04532706364989281,
-0.004103966522961855,
-0.005563380196690559,
0.02731475606560707,
-0.016409005969762802,
0.026285087689757347,
0.008054482750594616,
0.07911825180053711,
-0.013224205002188683,
0.019724668934941292,
-0.022946830838918686,
0.034470755606889725,
-0.03708047419786453,
0.048848479986190796,
-0.00954341609030962,
0.0062932963483035564,
-0.048335615545511246,
-0.03924117237329483,
-0.010912222787737846,
-0.0026312549598515034,
0.002911054529249668,
0.022664988413453102,
-0.0703280121088028,
0.030865510925650597,
0.07695803046226501,
0.007205250672996044,
-0.003699196269735694,
0.01520213671028614,
-0.005119467619806528,
0.01564865931868553,
0.018471796065568924,
-0.029342282563447952,
0.014827593229711056,
-0.005336516536772251,
-0.035736896097660065,
0.07510286569595337,
0.004119830206036568,
-0.055413033813238144,
-0.011774417012929916,
-0.050183895975351334,
-0.029491165652871132,
0.06061572581529617,
-0.0001555963244754821,
0.030235925689339638,
-0.008404520340263844,
0.05309748277068138,
-0.011117909103631973,
0.019806627184152603,
-0.004444094840437174,
-0.06582710891962051,
0.02706465870141983,
0.006036106497049332,
0.014211476780474186,
0.01774299144744873,
-0.0011675504501909018,
0.09901897609233856,
-0.025678711012005806,
-0.02102324552834034,
0.0059006414376199245,
-0.07550756633281708,
-0.02518078312277794,
0.018861735239624977,
-0.019343549385666847,
0.04665549099445343,
-0.029501933604478836,
0.0014646982308477163,
0.02843400090932846,
0.013767807744443417,
0.02812168188393116,
0.01110520213842392,
-0.030403651297092438,
0.025942277163267136,
-0.03625041991472244,
-0.06871851533651352,
-0.02802892215549946,
0.03180847689509392,
-0.07259217649698257,
-0.014702565036714077,
0.03465907648205757,
-0.014074583537876606,
0.007410416845232248,
-0.02962294965982437,
-0.013987390324473381,
0.03948769345879555,
-0.0065454659052193165,
-0.0024528363719582558,
0.0027117286808788776,
-0.005225952714681625,
-0.05569620802998543,
0.06014781817793846,
0.03643323481082916,
-0.05232949182391167,
0.039182987064123154,
-0.027409328147768974,
0.11681687086820602,
0.10752960294485092,
-0.03327470272779465,
0.0043684872798621655,
0.017448611557483673,
0.033495787531137466,
-0.0023825962562114,
-0.0062082689255476,
-0.038180310279130936,
0.004030371084809303,
0.024861574172973633,
0.026734264567494392,
0.03569523245096207,
0.06196414679288864,
-0.05789310857653618,
0.02355184033513069,
0.027270324528217316,
-0.002525780815631151,
0.022493792697787285,
0.01689556986093521,
-0.013705609366297722,
0.019199952483177185,
-0.0072408560663461685,
-0.05676572397351265,
-0.021567784249782562,
-0.03323647379875183,
0.023199528455734253,
0.026763690635561943,
-0.014336910098791122,
-0.02320832386612892,
-0.058152783662080765,
-0.011170396581292152,
0.007233436685055494,
0.05719151720404625,
0.05711672082543373,
0.029725519940257072,
-0.006252699997276068,
0.01922452263534069,
-0.04765540733933449,
-0.05021224170923233,
-0.10765330493450165,
-0.05646142736077309,
-0.02562849409878254,
0.046096812933683395,
0.013849783688783646,
0.030653944239020348,
-0.0002926979213953018,
0.000028045908038620837,
-0.02420910820364952,
-0.010562325827777386,
-0.016765164211392403,
0.008187091909348965,
-0.028294650837779045,
-0.023516936227679253,
0.0013012541458010674,
0.03462942689657211,
0.051637567579746246,
-0.02719181962311268,
-0.03730173781514168,
-0.014160295017063618,
-0.011527329683303833,
-0.009995538741350174,
0.010001176968216896,
0.03953549265861511,
0.007062283344566822,
0.0038378711324185133,
-0.009481597691774368,
-0.04290074482560158,
0.00808318704366684,
0.027875790372490883,
0.052261557430028915,
0.0462748259305954,
0.010974234901368618,
-0.005837759468704462,
0.047962289303541183,
0.037180133163928986,
-0.00616419967263937,
-0.003224313957616687,
-0.033991746604442596,
-0.01851872354745865,
0.010489864274859428,
-0.011535974219441414,
-0.03356276452541351,
-0.2954583168029785,
-0.027200207114219666,
0.004679510835558176,
-0.009023671969771385,
0.04145441949367523,
-0.009427441284060478,
0.05791189894080162,
-0.0027748013380914927,
-0.048654720187187195,
-0.0037693132180720568,
-0.0011007366701960564,
0.046473849564790726,
-0.019493935629725456,
0.07418882846832275,
0.048993851989507675,
-0.016811052337288857,
-0.014415863901376724,
-0.05689128488302231,
0.042249519377946854,
-0.015581440180540085,
-0.03538835421204567,
-0.05149039998650551,
-0.02107331156730652,
0.026560667902231216,
0.007769330404698849,
0.019340846687555313,
-0.07290080189704895,
-0.011859125457704067,
-0.032697077840566635,
-0.015530888922512531,
-0.026860995218157768,
-0.022356675937771797,
0.00414492841809988,
0.0078376904129982,
0.0019589955918490887,
0.00602713692933321,
0.010934214107692242,
-0.0007800767780281603,
0.029333921149373055,
-0.005456793121993542,
-0.005823873914778233,
0.006593890022486448,
-0.053671158850193024,
0.008637413382530212,
0.05458585172891617,
0.01978359930217266,
0.012299084104597569,
0.023498576134443283,
-0.00862169824540615,
0.007074603345245123,
0.026186365634202957,
-0.012872406281530857,
-0.01028269063681364,
0.007119796238839626,
-0.011606733314692974,
-0.05563417822122574,
0.02665417641401291,
-0.011106453835964203,
-0.005549239926040173,
0.006490656174719334,
-0.012722888961434364,
-0.03156103566288948,
-0.01695585623383522,
-0.030132977291941643,
-0.007781555410474539,
-0.02946487069129944,
-0.11550305038690567,
-0.04491101950407028,
0.038767170161008835,
0.028505796566605568,
-0.0026378107722848654,
0.021412231028079987,
-0.019433505833148956,
-0.09604483097791672,
0.05415062978863716,
-0.020809022709727287,
-0.02799292467534542,
-0.005654506850987673,
-0.002005617367103696,
0.03753949701786041,
-0.007872513495385647,
-0.04240261763334274,
0.014601383358240128,
0.018257342278957367,
0.04135878384113312,
-0.030126871541142464,
-0.0008664913475513458,
-0.014916032552719116,
-0.03348077833652496,
-0.0065056090243160725,
0.018126750364899635,
-0.017215702682733536,
0.05284908786416054,
0.001212429371662438,
0.040030352771282196,
0.022000659257173538,
0.0005951324128545821,
0.052739210426807404,
0.03915272653102875,
-0.0019190823659300804,
0.05782949924468994,
-0.05239807441830635,
-0.0292217917740345,
-0.06533484905958176,
-0.012226740829646587,
0.006772373337298632,
-0.05275312438607216,
-0.017822854220867157,
0.02887130156159401,
0.010990281589329243,
0.0005547538166865706,
0.013264336623251438,
0.000047601963160559535,
-0.05484754219651222,
-0.005464991554617882,
-0.024918051436543465,
0.01904844120144844,
0.048298079520463943,
0.04229704663157463,
0.021706974133849144,
-0.0345115065574646,
0.03745390847325325,
0.004968650639057159,
-0.021209396421909332,
0.02323479950428009,
-0.021415764465928078,
-0.02646331489086151,
0.02868044003844261,
0.03250628709793091,
0.002039021346718073,
0.047328077256679535,
0.06029035151004791,
0.019623400643467903,
-0.006575337611138821,
0.04500843957066536,
0.013407859951257706,
-0.012613099999725819,
-0.017455246299505234,
0.013308554887771606,
-0.024884002283215523,
0.034783028066158295,
-0.014058064669370651,
-0.003632473526522517,
0.022529050707817078,
0.017068661749362946,
0.007690767291933298,
0.020061541348695755,
0.03791053593158722,
0.007798177655786276,
-0.004342697560787201,
0.001608088263310492,
-0.04933233931660652,
-0.02634451538324356,
-0.034760601818561554,
-0.01320779137313366,
0.02263506129384041,
0.02765192650258541,
0.021435275673866272,
0.020137226209044456,
-0.07472272217273712,
0.020952725782990456,
-0.018256865441799164,
-0.01340098213404417,
-0.028166841715574265,
-0.036912839859724045,
0.09169995784759521,
-0.011990114115178585,
0.00609577214345336,
0.01140279695391655,
0.0017542893765494227,
-0.0007785039488226175,
-0.03346020728349686,
-0.013603851199150085,
-0.009714523330330849,
-0.016595715656876564,
0.025031549856066704,
-0.005680881906300783,
-0.011069215834140778,
-0.028421951457858086,
0.031153788790106773,
-0.0007520598592236638,
-0.020765850320458412,
-0.005686406511813402,
0.008521206676959991,
0.052841074764728546,
0.009588388726115227,
0.004386848770081997,
-0.053192101418972015,
-0.0174602959305048,
0.08388148248195648,
-0.0006472342065535486,
-0.01214273925870657,
-0.0017117068637162447,
-0.041708312928676605,
-0.02564116194844246,
-0.04196183755993843,
0.007551069837063551,
0.05808504298329353,
0.0022653809282928705,
-0.03068423457443714,
0.0018220891943201423,
0.0417376346886158,
0.0022666803561151028,
-0.004530939273536205,
0.04377499967813492,
-0.06995701044797897,
-0.012075898237526417,
0.046343278139829636,
-0.032330214977264404,
-0.02212245762348175,
-0.0021186862140893936,
-0.01869107596576214,
-0.03523785620927811,
0.025965072214603424,
-0.011162741109728813,
0.015029516071081161,
-0.02900746650993824,
-0.021945005282759666,
-0.012534969486296177,
0.01566556841135025,
0.008391165174543858,
-0.006457122974097729,
0.014582181349396706,
-0.047749318182468414,
-0.011680461466312408,
0.0512031726539135,
-0.02589983493089676,
0.007233389653265476,
-0.0010929948184639215,
0.005075038876384497,
0.028107846155762672,
-0.07782979309558868,
0.007625761441886425,
0.04289427399635315,
0.007408872712403536,
-0.005851362366229296,
-0.05916619300842285,
0.022427447140216827,
0.02101127617061138,
-0.010236860252916813,
0.011091991327702999,
0.002953197108581662,
-0.03196832165122032,
0.005360100883990526,
0.007274370640516281,
0.026182537898421288,
0.0012131704716011882,
-0.009963431395590305,
-0.023725535720586777,
0.026257138699293137,
-0.003254141891375184,
0.03282931447029114,
-0.017414122819900513,
0.014927336014807224,
0.06035821512341499,
0.003756562015041709,
-0.023463174700737,
-0.06998972594738007,
-0.022675974294543266,
-0.014048847369849682,
-0.03695711866021156,
0.04637646675109863,
-0.029159918427467346,
0.05694497749209404,
0.03228718787431717,
0.022292621433734894,
0.05974269658327103,
-0.0200496893376112,
0.027327608317136765,
-0.07327266037464142,
-0.010602790862321854,
-0.04269658401608467,
-0.017264241352677345,
0.06568080186843872,
-0.048749711364507675,
0.044098302721977234,
-0.016834396868944168,
-0.014628814533352852,
0.025781407952308655,
-0.048661939799785614,
-0.06787355989217758,
0.0009730280726216733,
-0.040250033140182495,
0.017054636031389236,
0.06390727311372757,
-0.04398081451654434,
-0.012758227996528149,
-0.03702058643102646,
-0.017640026286244392,
-0.0028869437519460917,
0.051026955246925354,
0.02152123488485813,
-0.03920957073569298,
0.042647287249565125,
-0.022234344854950905,
-0.00009903030877467245,
0.01793413795530796,
0.056172892451286316,
-0.016586266458034515,
0.013990321196615696,
-0.03875529021024704,
0.0639944076538086,
0.07224129140377045,
-0.012312323786318302,
0.0031512996647506952,
0.026155533269047737,
0.008624924346804619,
-0.03377692773938179,
0.01640535145998001,
0.019784674048423767,
-0.02458319254219532,
-0.0707826092839241,
0.049198031425476074,
0.030291296541690826,
-0.04721405357122421,
-0.026017947122454643,
0.020176531746983528,
-0.04809263348579407,
0.010992176830768585,
0.00501073757186532,
0.024304954335093498,
-0.016284601762890816,
0.05062679946422577,
-0.004578848835080862,
0.03593471273779869,
0.04440339282155037,
-0.0009568148525431752,
-0.0014102042187005281,
0.002885858528316021,
0.09223271161317825,
0.061668068170547485,
0.02258937619626522,
0.003934498410671949,
0.06554790586233139,
-0.010837266221642494,
-0.026817742735147476,
0.02674737200140953,
0.010868311859667301,
-0.01896575465798378,
-0.019338179379701614,
0.0515446700155735,
0.09685230255126953,
0.024899717420339584,
0.07604825496673584,
-0.03267624229192734,
-0.0022327553015202284,
0.021520670503377914,
0.021138302981853485,
0.005371425300836563,
0.018909962847828865,
0.015051955357193947,
0.013551496900618076,
-0.026717906817793846,
0.008194421418011189,
-0.013855070807039738,
-0.02890363335609436,
0.031630661338567734,
0.019099319353699684,
-0.03260273113846779,
0.03587869927287102,
-0.056645095348358154,
-0.016838857904076576,
0.05841295048594475,
0.004135788418352604,
-0.03309674188494682,
0.004452609457075596,
0.0150131955742836,
0.03325977921485901,
0.05169970169663429,
0.0335364043712616,
-0.024460365995764732,
0.009309528395533562,
-0.06760996580123901,
0.0030641520861536264,
0.04101742431521416,
0.026609493419528008,
-0.007149370852857828,
-0.03139064088463783,
0.004022496752440929,
0.005886194296181202,
-0.004389470908790827,
-0.03508426621556282,
-0.034432001411914825,
-0.04469311982393265,
-0.07660157978534698,
-0.0637081190943718,
-0.022710837423801422,
0.03144991770386696,
0.002188709331676364,
-0.03405013680458069,
-0.007142764050513506,
-0.04368608444929123,
0.04292123764753342,
0.03389076516032219,
-0.05061689019203186,
-0.01704605109989643,
0.05887046456336975,
-0.006375415250658989,
0.022126421332359314,
0.03047906421124935,
0.01747327484190464,
-0.011385204270482063,
-0.02496984228491783,
0.03565821051597595,
-0.018525145947933197,
0.04630143567919731,
-0.029173918068408966,
0.01651475764811039,
-0.09313452243804932,
0.05394459515810013,
0.022296924144029617,
-0.008888673037290573,
-0.1031840443611145,
0.025941137224435806,
-0.029151825234293938,
0.005171721801161766,
0.04597112536430359,
-0.016105327755212784,
0.0019087155815213919,
-0.04911298304796219,
-0.01318871509283781,
-0.02579893171787262,
0.020872976630926132,
0.03372105211019516,
-0.03640535846352577,
0.0630616545677185,
0.006278462242335081,
0.0003006664337590337,
-0.016831401735544205,
0.031772445887327194,
0.01646859012544155,
0.0123932845890522,
-0.013537287712097168,
-0.0404457226395607,
-0.0792645514011383,
-0.10119926184415817,
-0.030080854892730713,
0.022661713883280754,
0.01707584783434868,
-0.032275695353746414,
0.011762687005102634,
0.014582907781004906,
-0.021066563203930855,
-0.03130505234003067,
0.021085185930132866,
-0.003690937766805291,
-0.05418693274259567,
-0.03804802894592285,
-0.09419529885053635,
-0.01892237551510334,
-0.0027448139153420925,
0.01290970016270876,
-0.01779123581945896,
-0.04555194079875946,
-0.02000301331281662,
-0.0077600604854524136,
-0.015062001533806324,
0.01747264340519905,
0.0035814668517559767,
0.01896614022552967
] | null |
568 |
EEG-Language Pretraining for Highly Label-Efficient Clinical Phenotyping
|
https://openreview.net/forum?id=yaI2ZYFmeD
|
[
"Sam Gijsen",
"Kerstin Ritter"
] |
Poster
|
Multimodal language modeling has enabled breakthroughs for representation learning, yet remains unexplored in the realm of functional brain data for clinical phenotyping. This paper pioneers EEG-language models (ELMs) trained on clinical reports and 15000 EEGs. We propose to combine multimodal alignment in this novel domain with timeseries cropping and text segmentation, enabling an extension based on multiple instance learning to alleviate misalignment between irrelevant EEG or text segments. Our multimodal models significantly improve over EEG-only models across four clinical evaluations and for the first time enable zero-shot classification as well as retrieval of both neural signals and reports. In sum, these results highlight the potential of ELMs, representing significant progress for clinical applications.
|
multimodal, neuroscience, eeg, medical, pretraining, representation learning
|
First application of multimodal language pretraining to the domain of medical EEG to improve clinical phenotyping.
| 12,985 | null |
[
-0.029635068029165268,
0.004856465850025415,
0.014851240441203117,
0.014586422592401505,
0.019321855157613754,
0.024901023134589195,
0.05039342865347862,
0.03174528107047081,
-0.008241971023380756,
-0.022664019837975502,
-0.029213260859251022,
0.02201181650161743,
-0.0793566107749939,
-0.005761085543781519,
-0.022600481286644936,
0.02513156644999981,
0.04574310779571533,
-0.007745952345430851,
-0.013804123736917973,
0.012389028444886208,
0.0011484513524919748,
-0.02819744125008583,
0.04199659079313278,
0.038007352501153946,
0.022506698966026306,
0.002928426256403327,
0.01327426452189684,
-0.02016669511795044,
-0.04661159589886665,
0.0018625148804858327,
0.021247433498501778,
0.028548631817102432,
-0.023757968097925186,
-0.02377805858850479,
0.034934237599372864,
0.006346176844090223,
-0.050451237708330154,
0.005850480403751135,
-0.019710227847099304,
0.008305894210934639,
-0.05911454185843468,
-0.03062404878437519,
0.006299946457147598,
-0.010748779401183128,
-0.0815454050898552,
0.0034498623572289944,
-0.09845305234193802,
0.030172578990459442,
0.017630329355597496,
-0.014682700857520103,
-0.07165274024009705,
0.019236499443650246,
0.027322912588715553,
-0.010035929270088673,
0.005992499645799398,
0.011727302335202694,
0.026776868849992752,
-0.07115502655506134,
-0.021661128848791122,
-0.020643670111894608,
0.0016785020707175136,
-0.003391826990991831,
0.03143748268485069,
-0.002864768961444497,
-0.0015518751461058855,
-0.035395193845033646,
-0.008665908128023148,
0.04719237610697746,
-0.051763903349637985,
-0.018153848126530647,
-0.013442597351968288,
0.011697382666170597,
-0.026663875207304955,
0.004201872739940882,
0.004431119654327631,
-0.04924328252673149,
0.010994100011885166,
0.008868753910064697,
0.06762474775314331,
-0.0001748417562339455,
0.007499379571527243,
0.01838328130543232,
0.029638689011335373,
0.02582395263016224,
-0.02895253524184227,
0.00046720338286831975,
-0.007315036840736866,
-0.049393218010663986,
-0.08687543869018555,
0.017548974603414536,
-0.007860447280108929,
-0.03454681113362312,
0.006466755643486977,
0.02969054877758026,
-0.0014388937270268798,
0.047711651772260666,
0.0191405788064003,
-0.03702588379383087,
-0.04170851781964302,
0.011706972494721413,
0.016511602327227592,
-0.011056113988161087,
0.025001496076583862,
0.012514395639300346,
-0.08898372203111649,
-0.04385272040963173,
-0.003948024474084377,
-0.022321298718452454,
-0.005735189188271761,
-0.005202021915465593,
-0.04256562888622284,
-0.021584028378129005,
0.009489567950367928,
-0.009748057462275028,
-0.06419569253921509,
0.03706401214003563,
0.014441635459661484,
0.017086932435631752,
-0.0020450963638722897,
-0.0061921244487166405,
0.059529468417167664,
0.020778506994247437,
-0.0035199979320168495,
0.05808812379837036,
-0.0016377714928239584,
0.006799725349992514,
-0.011782508343458176,
0.053999196738004684,
-0.04671277850866318,
-0.05086042359471321,
0.02277696132659912,
0.025143958628177643,
0.024901114404201508,
0.014051689766347408,
0.018679991364479065,
0.03938176855444908,
0.023087278008461,
0.009900168515741825,
0.05216770991683006,
0.025981280952692032,
0.005289693828672171,
-0.025453250855207443,
0.03403699770569801,
-0.034484948962926865,
0.05198141932487488,
-0.035584963858127594,
-0.06072257459163666,
0.021490322425961494,
-0.05047934502363205,
-0.036835361272096634,
-0.020678114145994186,
-0.014266012236475945,
-0.005647662561386824,
-0.04569882154464722,
0.03762337937951088,
0.07735014706850052,
0.018217986449599266,
0.022478269413113594,
0.059390440583229065,
-0.005172370467334986,
0.004558388143777847,
0.01615479402244091,
-0.041181933134794235,
0.046308767050504684,
-0.00574880326166749,
-0.05974973365664482,
0.029705163091421127,
-0.007725967094302177,
-0.06947407126426697,
0.02293151617050171,
-0.04281674325466156,
-0.02407539263367653,
0.04068906232714653,
-0.015484683215618134,
-0.007967236451804638,
-0.023285269737243652,
0.04541263356804848,
0.0074568819254636765,
0.05048980191349983,
0.019268779084086418,
-0.09341660141944885,
0.026249492540955544,
0.021106790751218796,
-0.005612902343273163,
0.026808489114046097,
-0.011502259410917759,
0.059760257601737976,
-0.020294925197958946,
-0.01368370559066534,
0.026129193603992462,
-0.02341882698237896,
-0.025451043620705605,
0.048217274248600006,
-0.003655854845419526,
0.06813989579677582,
0.003926006145775318,
-0.007881088182330132,
0.05150516703724861,
0.011219391599297523,
0.039235763251781464,
0.06554671376943588,
-0.031561195850372314,
0.05500252544879913,
0.006998816505074501,
-0.04416818544268608,
0.003076544962823391,
0.04226267337799072,
-0.0586090013384819,
-0.07228361070156097,
0.012441432103514671,
-0.002444583224132657,
-0.021924251690506935,
0.011657066643238068,
0.026863332837820053,
-0.006410567089915276,
0.009572790935635567,
0.006091814022511244,
0.011303204111754894,
-0.004297195002436638,
-0.05861814320087433,
0.03654509037733078,
-0.006456385832279921,
-0.03623399883508682,
-0.003133129794150591,
-0.021219568327069283,
0.1047004908323288,
0.07847092300653458,
-0.05007316917181015,
0.009627938270568848,
0.007648032158613205,
0.023024404421448708,
0.0015162575291469693,
0.004035116173326969,
0.004136459436267614,
0.015754517167806625,
-0.00979206059128046,
-0.0008459673263132572,
-0.040070775896310806,
0.026263488456606865,
-0.05619095265865326,
-0.019642794504761696,
0.05667249113321304,
-0.03714662045240402,
0.031166238710284233,
0.026463691145181656,
0.0038676359690725803,
0.03589200600981712,
-0.008267514407634735,
-0.012901379726827145,
-0.020062297582626343,
-0.004762483760714531,
0.004092114511877298,
-0.02521589770913124,
-0.02498069405555725,
0.021730225533246994,
-0.04599738493561745,
-0.02760220691561699,
-0.05288419499993324,
0.05230825021862984,
0.031360987573862076,
0.04518553614616394,
0.05230274796485901,
-0.008182589896023273,
-0.02160489745438099,
0.025172119960188866,
-0.08758141845464706,
-0.028971964493393898,
-0.055804066359996796,
0.01549597643315792,
-0.012155660428106785,
0.06625702977180481,
0.025688355788588524,
0.03679663687944412,
-0.013752136379480362,
-0.007166392635554075,
-0.017406301572918892,
0.014174367301166058,
-0.011042389087378979,
-0.04592616856098175,
-0.013774598948657513,
0.006272902246564627,
0.04775356128811836,
0.014878501184284687,
-0.02125062234699726,
-0.05395357310771942,
-0.060638848692178726,
-0.023473167791962624,
-0.026203470304608345,
0.006663699168711901,
0.018615206703543663,
0.027479199692606926,
-0.0044380365870893,
-0.01631140522658825,
0.013437281362712383,
0.03403050824999809,
0.05252781882882118,
0.057897020131349564,
0.022538023069500923,
-0.021103229373693466,
0.04974101856350899,
0.001775897922925651,
0.025879068300127983,
0.031162062659859657,
-0.007386667188256979,
-0.02004914917051792,
-0.01064232736825943,
-0.01637248322367668,
-0.03969550505280495,
-0.2667945325374603,
-0.029453136026859283,
0.006452176254242659,
-0.03886738792061806,
0.03270268812775612,
0.005285603925585747,
0.04129289090633392,
-0.05624863877892494,
-0.012411287985742092,
0.03272000327706337,
-0.014903664588928223,
0.03822068125009537,
0.012581844814121723,
0.07596432417631149,
0.04103391245007515,
0.0240322332829237,
-0.01721256971359253,
-0.016874391585588455,
0.038593124598264694,
0.05114665627479553,
-0.005886257626116276,
-0.044881220906972885,
-0.05687612295150757,
0.07438589632511139,
-0.012039403431117535,
0.05794316530227661,
-0.07255423069000244,
0.02188396453857422,
-0.01330529060214758,
0.005315360147505999,
0.01598711870610714,
-0.03551853448152542,
0.003358352230861783,
0.044578541070222855,
0.029663242399692535,
0.021815726533532143,
0.013596536591649055,
0.002252583857625723,
0.02751067839562893,
-0.01665320433676243,
0.006115076132118702,
-0.02065720036625862,
-0.012102140113711357,
-0.018150251358747482,
0.036456163972616196,
0.02304227277636528,
-0.05435733124613762,
0.010038330219686031,
0.008386722765862942,
0.04421259090304375,
-0.036431923508644104,
-0.036040306091308594,
-0.016090739518404007,
0.015685807913541794,
-0.029178418219089508,
-0.017043152824044228,
0.024823829531669617,
0.005041387397795916,
-0.019812745973467827,
0.0016713500954210758,
-0.009840968064963818,
-0.036744117736816406,
-0.014247354120016098,
-0.05893847346305847,
0.004570588935166597,
-0.014362714253365993,
-0.05952710658311844,
-0.08484949171543121,
0.05956921726465225,
0.03313673660159111,
-0.010647118091583252,
0.009286049753427505,
-0.006386699620634317,
-0.08747537434101105,
0.02792591042816639,
0.010405908338725567,
0.008207395672798157,
-0.016930289566516876,
-0.026425810530781746,
0.013319341465830803,
-0.054353147745132446,
-0.046660568565130234,
0.03147037327289581,
0.009050852619111538,
0.015948308631777763,
-0.00419609434902668,
0.018477022647857666,
-0.010031964629888535,
-0.016760606318712234,
-0.03534345701336861,
0.031792521476745605,
0.009507548063993454,
0.019090238958597183,
-0.015296334400773048,
0.039045389741659164,
0.029778996482491493,
0.007970566861331463,
0.07187860459089279,
0.03647232800722122,
-0.03335311636328697,
0.01835940033197403,
-0.09285257011651993,
-0.038714613765478134,
-0.04530655965209007,
-0.04193669930100441,
0.01686309278011322,
-0.0746535211801529,
-0.050548821687698364,
0.035072531551122665,
-0.014612480998039246,
-0.03480873629450798,
-0.0015168242389336228,
0.01985776424407959,
-0.011027829721570015,
0.02457432448863983,
-0.032066818326711655,
0.009581029415130615,
0.024360256269574165,
0.01725500077009201,
-0.03284004330635071,
0.017494725063443184,
-0.004339620936661959,
-0.02942960523068905,
0.01124261599034071,
0.03887487202882767,
-0.031486134976148605,
-0.00031407925416715443,
-0.01033608615398407,
-0.025289829820394516,
0.0302639901638031,
0.01917412504553795,
0.023025278002023697,
0.020782260224223137,
0.030703188851475716,
0.03245391696691513,
0.002274437341839075,
0.0010559901129454374,
-0.009025775827467442,
0.027288710698485374,
-0.01598026417195797,
0.049348197877407074,
-0.033463090658187866,
0.037975624203681946,
0.037365928292274475,
0.016736920922994614,
0.0004313767421990633,
-0.014674569480121136,
-0.03484800085425377,
-0.06454959511756897,
0.005289996508508921,
0.038029659539461136,
-0.017969446256756783,
-0.052698902785778046,
0.0009198214393109083,
-0.02276349440217018,
0.03472288325428963,
0.016962753608822823,
0.009262628853321075,
0.02511611022055149,
-0.06504666805267334,
0.04361947998404503,
-0.003999786917120218,
-0.03217398747801781,
-0.007997599430382252,
0.030152294784784317,
0.035820040851831436,
-0.01657247170805931,
0.0024403214920312166,
0.028536077588796616,
0.03144801780581474,
0.03367697075009346,
-0.024310680106282234,
-0.031015431508421898,
0.013187271542847157,
-0.0017879019724205136,
-0.0018187033711001277,
0.027379261329770088,
-0.02073485031723976,
-0.0050829267129302025,
0.0602591410279274,
0.02418087050318718,
-0.0027892086654901505,
-0.024895545095205307,
0.02713155187666416,
0.10594256967306137,
0.034563202410936356,
-0.007889200001955032,
-0.01273645181208849,
-0.04229668900370598,
0.02621067315340042,
0.004464688710868359,
-0.007940420880913734,
-0.024784844368696213,
-0.04000247269868851,
-0.03847133740782738,
-0.028516018763184547,
-0.023833855986595154,
-0.019635232165455818,
0.002687690779566765,
-0.032866183668375015,
-0.03316917642951012,
-0.0015256400220096111,
-0.025464525446295738,
-0.04026023671030998,
0.054304275661706924,
-0.08975179493427277,
-0.035802967846393585,
0.003626558231189847,
-0.06438911706209183,
0.019273800775408745,
-0.00427964748814702,
-0.01580411195755005,
-0.04215090721845627,
0.005213107448071241,
-0.01726444438099861,
-0.024661853909492493,
-0.03996923938393593,
-0.040863826870918274,
-0.007004418410360813,
-0.015896912664175034,
-0.013434412889182568,
-0.01601967215538025,
-0.0025524734519422054,
-0.029147014021873474,
-0.01147297490388155,
0.030623121187090874,
-0.02625725232064724,
0.0160400178283453,
0.03154775872826576,
-0.012603080831468105,
0.003843633458018303,
-0.049504972994327545,
-0.005114833824336529,
0.06492458283901215,
-0.011257773265242577,
-0.042046938091516495,
-0.032020654529333115,
0.04553297162055969,
0.06701590865850449,
0.0337509848177433,
0.04123791307210922,
-0.007600830402225256,
-0.03779764100909233,
-0.00380633189342916,
0.029726900160312653,
0.05013297498226166,
0.047422848641872406,
0.015192432329058647,
0.02052948996424675,
0.026124605908989906,
0.017755350098013878,
0.0015536374412477016,
-0.028720209375023842,
-0.007411109749227762,
0.06209931522607803,
-0.04512757807970047,
-0.02196585200726986,
-0.06235385686159134,
-0.04142599180340767,
-0.009120406582951546,
-0.004488870035856962,
0.00725335069000721,
-0.014793558977544308,
0.029509691521525383,
0.047395139932632446,
0.056556932628154755,
-0.004310934338718653,
-0.0022241489496082067,
0.02004987560212612,
-0.05715636536478996,
0.01035163551568985,
-0.051763832569122314,
-0.015117201022803783,
0.07318875193595886,
-0.04345589503645897,
-0.012050642631947994,
0.0036003817804157734,
-0.01872367411851883,
0.08754512667655945,
-0.02560892328619957,
-0.03424999490380287,
0.023655390366911888,
-0.01432248204946518,
-0.04351181164383888,
0.02476874366402626,
-0.0372103787958622,
0.04903959482908249,
-0.01956419087946415,
-0.04026596248149872,
-0.02787485346198082,
0.05100344493985176,
0.05372154712677002,
-0.010685385204851627,
0.04067670553922653,
-0.017951197922229767,
0.019366810098290443,
0.039707932621240616,
0.06120375171303749,
-0.006584453396499157,
-0.00795612670481205,
-0.031673796474933624,
0.08793307095766068,
0.007614431902766228,
-0.012127596884965897,
-0.033442385494709015,
0.02053018845617771,
0.007889196276664734,
-0.07264932990074158,
0.009988492354750633,
-0.021567916497588158,
-0.013984066434204578,
-0.0613403245806694,
0.05355028435587883,
0.04644593968987465,
-0.03619510307908058,
-0.011053494177758694,
0.03278273344039917,
-0.026606978848576546,
-0.006195829715579748,
-0.004251173697412014,
-0.017736876383423805,
-0.02224189043045044,
0.0700765922665596,
0.041742827743291855,
0.022165071219205856,
0.06095138564705849,
-0.00926464144140482,
-0.011394073255360126,
0.019651345908641815,
0.06246371567249298,
0.06536949425935745,
0.04226119443774223,
0.05433328077197075,
0.08906292915344238,
-0.05177611485123634,
-0.025521062314510345,
0.03553074970841408,
0.058392543345689774,
-0.03227902203798294,
0.0006252037128433585,
-0.003972891718149185,
0.07250296324491501,
0.02091706357896328,
0.07513082027435303,
-0.0418270118534565,
0.018431782722473145,
0.014580908231437206,
0.029076410457491875,
-0.014092283323407173,
-0.003940945025533438,
0.04267272725701332,
0.0014792190631851554,
0.0003208022681064904,
-0.02193206548690796,
-0.03269040212035179,
-0.014409760013222694,
0.018995851278305054,
0.02642812766134739,
-0.02348211407661438,
0.03549510985612869,
-0.03555743023753166,
0.014119534753262997,
0.09974123537540436,
-0.009053269401192665,
-0.0296913031488657,
-0.034341778606176376,
0.029590845108032227,
0.01639656536281109,
0.0579141266644001,
-0.01909235119819641,
0.0275126826018095,
0.02206985279917717,
-0.03779207915067673,
0.03401518613100052,
-0.010801111347973347,
0.0027961067389696836,
0.03840695321559906,
-0.03933492302894592,
-0.05100309103727341,
0.001094934530556202,
0.04299767687916756,
-0.02258341759443283,
-0.05237225443124771,
-0.05119719356298447,
-0.0443989634513855,
-0.07694541662931442,
-0.04184923321008682,
0.03557097166776657,
0.024450864642858505,
-0.009364292956888676,
-0.0034493121784180403,
0.0019919369369745255,
0.03984303027391434,
0.001780291902832687,
-0.06729085743427277,
-0.0022076377645134926,
0.04553937539458275,
-0.007584761828184128,
-0.02348264865577221,
0.010731561109423637,
0.047477878630161285,
-0.001546578831039369,
-0.022827640175819397,
0.038488395512104034,
0.0028048420790582895,
0.03587149828672409,
-0.029921527951955795,
-0.007561179343611002,
-0.08062182366847992,
0.001961376518011093,
-0.019643740728497505,
-0.03837558627128601,
-0.09045922011137009,
0.031017513945698738,
0.0030752369202673435,
0.05048804357647896,
0.054815810173749924,
-0.020241765305399895,
-0.004742724820971489,
-0.039013225585222244,
-0.011805660091340542,
-0.0004801314789801836,
0.03114468790590763,
0.06715324521064758,
-0.02411511540412903,
0.07349782437086105,
0.04800046980381012,
-0.001080661197192967,
-0.03405631706118584,
-0.01753798872232437,
-0.012055879458785057,
-0.006126103922724724,
-0.014242803677916527,
-0.021379534155130386,
-0.024710604920983315,
-0.08134400844573975,
-0.023292947560548782,
-0.0014840038493275642,
0.013915718533098698,
-0.04209550842642784,
0.00007598475349368528,
-0.012988266535103321,
-0.024608135223388672,
-0.01879534311592579,
-0.008806762285530567,
-0.058470577001571655,
-0.03965473547577858,
-0.027253801003098488,
-0.0802307277917862,
0.009247828274965286,
-0.0284954234957695,
0.0014739050529897213,
-0.03636867552995682,
-0.008561256341636181,
0.00790612306445837,
0.01192709431052208,
0.04720721393823624,
0.01209444273263216,
0.03359123319387436,
-0.047258876264095306
] |
https://github.com/SamGijsen/ELM
|
569 |
DUNIA: Pixel-Sized Embeddings via Cross-Modal Alignment for Earth Observation Applications
|
https://openreview.net/forum?id=JXCiQteuOv
|
[
"Ibrahim Fayad",
"Max Zimmer",
"Martin Schwartz",
"Fabian Gieseke",
"Philippe CIAIS",
"Gabriel Belouze",
"Sarah Brood",
"Aurélien de Truchis",
"Alexandre d'Aspremont"
] |
Poster
|
Significant efforts have been directed towards adapting self-supervised multimodal learning for Earth observation applications. However, most current methods produce coarse patch-sized embeddings, limiting their effectiveness and integration with other modalities like LiDAR. To close this gap, we present DUNIA, an approach to learn pixel-sized embeddings through cross-modal alignment between images and full-waveform LiDAR data. As the model is trained in a contrastive manner, the embeddings can be directly leveraged in the context of a variety of environmental monitoring tasks in a zero-shot setting. In our experiments, we demonstrate the effectiveness of the embeddings for seven such tasks: canopy height mapping, fractional canopy cover, land cover mapping, tree species identification, plant area index, crop type classification, and per-pixel waveform-based vertical structure mapping. The results show that the embeddings, along with zero-shot classifiers, often outperform specialized supervised models, even in low-data regimes. In the fine-tuning setting, we show strong performances near or better than the state-of-the-art on five out of six tasks.
|
earth observation, multi-modality, self-supervised learning, cross-modal retrieval
| null | 12,982 |
2502.17066
|
[
0.029984330758452415,
-0.03635441139340401,
-0.006544672418385744,
0.044016219675540924,
0.03452499210834503,
0.05201537907123566,
0.025574352592229843,
0.042940083891153336,
-0.01364950928837061,
-0.027462108060717583,
-0.020032143220305443,
-0.010877523571252823,
-0.08014708757400513,
0.0071450937539339066,
0.0017319942126050591,
0.04203781485557556,
0.011758907698094845,
-0.018886491656303406,
0.008622958324849606,
0.06627766788005829,
0.009048150852322578,
-0.05542316660284996,
0.016394587233662605,
0.009745344519615173,
0.005956114735454321,
-0.012640715576708317,
0.03826943412423134,
0.07005682587623596,
-0.056296780705451965,
0.0004636872617993504,
0.025845324620604515,
-0.027119716629385948,
0.018852785229682922,
-0.035573363304138184,
0.014672067016363144,
-0.00743949506431818,
-0.03841561824083328,
-0.013086838647723198,
-0.027942949905991554,
-0.018764548003673553,
-0.04649893566966057,
-0.01692846044898033,
-0.03365271911025047,
-0.008406223729252815,
-0.043119218200445175,
0.013408337719738483,
-0.08739425987005234,
0.0675591230392456,
0.055659689009189606,
0.00003384885349078104,
-0.0852053314447403,
0.03478862717747688,
0.007550251204520464,
0.005174440797418356,
-0.008340470492839813,
0.04882437363266945,
0.03847843408584595,
-0.07968208193778992,
-0.01696896180510521,
-0.07214073091745377,
-0.014499425888061523,
0.00941538531333208,
0.01665366068482399,
-0.023803923279047012,
-0.002160514472052455,
0.006373692769557238,
-0.004273224156349897,
0.04152478650212288,
-0.03272456303238869,
-0.035691630095243454,
0.004365198779851198,
-0.023796014487743378,
-0.01919301226735115,
0.020963191986083984,
0.0029870045837014914,
-0.03967802971601486,
-0.003878325456753373,
-0.024205872789025307,
0.05292088910937309,
-0.01966552436351776,
0.06429928541183472,
-0.0050705731846392155,
0.012199033051729202,
0.03717508912086487,
-0.010789313353598118,
0.007223985157907009,
-0.037284452468156815,
-0.050318118184804916,
-0.06744986772537231,
0.018056834116578102,
-0.03827832266688347,
-0.03364507481455803,
0.04181083291769028,
0.06813034415245056,
0.035603027790784836,
0.026962999254465103,
0.012095853686332703,
-0.0023739140015095472,
-0.008049251511693,
-0.026947641745209694,
-0.01222886610776186,
-0.02464175969362259,
0.016438212245702744,
0.010481767356395721,
-0.08458767086267471,
-0.043246928602457047,
-0.03317158669233322,
0.015063690952956676,
-0.012477414682507515,
0.0051798513159155846,
-0.022015022113919258,
-0.036763425916433334,
0.030183570459485054,
-0.029981613159179688,
-0.053773343563079834,
0.04428967088460922,
0.03545081987977028,
0.04050025716423988,
-0.009429266676306725,
-0.004991217982023954,
0.07688138633966446,
0.0633750855922699,
0.00991727039217949,
0.080230213701725,
-0.030698807910084724,
0.018453728407621384,
0.008024550043046474,
0.013786496594548225,
-0.06440824270248413,
-0.015769202262163162,
-0.005580334458500147,
0.01459997147321701,
0.000352048606146127,
-0.009559115394949913,
0.04414483159780502,
-0.044161245226860046,
0.02332831174135208,
-0.015333879739046097,
0.04451107233762741,
-0.017464956268668175,
0.01653066650032997,
-0.0256805382668972,
0.04511110857129097,
-0.03264409303665161,
0.08739418536424637,
0.010322081856429577,
0.02784598059952259,
-0.032666467130184174,
-0.051462043076753616,
0.03105364553630352,
0.014451747760176659,
-0.010170011781156063,
0.020204737782478333,
-0.06527416408061981,
0.018920395523309708,
0.051829494535923004,
-0.016694223508238792,
0.02711172215640545,
-0.006074623670428991,
0.012440529651939869,
0.01841183751821518,
-0.03746733441948891,
0.0025260772090405226,
0.013761294074356556,
-0.03307507187128067,
-0.06620490550994873,
0.053114838898181915,
0.014706126414239407,
-0.0034155314788222313,
-0.002479101065546274,
-0.026050718501210213,
-0.055913593620061874,
0.029884522780776024,
0.02122468315064907,
0.0029944954439997673,
-0.017645131796598434,
0.04686349257826805,
-0.0006663457024842501,
0.01566331461071968,
0.013177212327718735,
-0.08589212596416473,
0.020819993689656258,
0.008851421065628529,
-0.026601918041706085,
0.025169797241687775,
0.00047391108819283545,
0.08730768412351608,
-0.017837440595030785,
0.013855536468327045,
0.013000099919736385,
-0.05909755453467369,
-0.0036373233888298273,
0.03385966643691063,
-0.02757139876484871,
0.05057615041732788,
0.012981394305825233,
-0.027020083740353584,
0.007365406025201082,
0.028520265594124794,
0.06969229131937027,
0.0049695950001478195,
-0.03391395881772041,
0.03535550832748413,
-0.011209949851036072,
-0.03137463703751564,
-0.01923096366226673,
0.04056289792060852,
-0.005224717315286398,
-0.012854398228228092,
0.0006423351587727666,
-0.030384477227926254,
-0.02100229822099209,
0.01126127690076828,
0.04828767478466034,
0.041914429515600204,
0.02875903993844986,
-0.012713548727333546,
0.03637063503265381,
0.016746653243899345,
-0.04614589363336563,
0.008804484270513058,
0.02015303261578083,
-0.061855249106884,
0.02096519246697426,
-0.02113530971109867,
0.09014400839805603,
0.0760699212551117,
-0.020461659878492355,
0.005787293426692486,
-0.022294318303465843,
-0.001620928873308003,
-0.0006473903777077794,
0.011210900731384754,
-0.035117823630571365,
0.000685551087372005,
-0.023742012679576874,
0.05172751843929291,
-0.03607819974422455,
0.05297042429447174,
-0.03796622157096863,
-0.029893703758716583,
0.02987842820584774,
-0.013003120198845863,
0.038867395371198654,
0.023249531164765358,
-0.01593402773141861,
0.0821852907538414,
-0.0016647404991090298,
-0.01563197746872902,
-0.034647613763809204,
-0.019087133929133415,
0.023005221039056778,
-0.029883649200201035,
-0.011318379081785679,
0.018649419769644737,
-0.060486871749162674,
-0.006304953247308731,
-0.02159864269196987,
0.0944259762763977,
0.04495507478713989,
0.012334932573139668,
0.0572797991335392,
0.010126020759344101,
-0.027419397607445717,
-0.00644263532012701,
-0.07359874993562698,
-0.06544580310583115,
-0.015893535688519478,
0.023560889065265656,
0.003609327133744955,
0.034062888473272324,
0.03962577506899834,
0.03769950941205025,
-0.0188998244702816,
0.014948826283216476,
0.011110414750874043,
0.025481831282377243,
0.010197984054684639,
-0.027731332927942276,
-0.007016194984316826,
0.036466531455516815,
0.054893866181373596,
0.003165676025673747,
-0.00024439289700239897,
-0.025955528020858765,
-0.02562960982322693,
0.01309201680123806,
-0.05423608422279358,
-0.011914239265024662,
0.020271336659789085,
0.05088703706860542,
0.017958275973796844,
-0.0015602607745677233,
0.026532109826803207,
0.0216864924877882,
0.03541293367743492,
0.04184001311659813,
-0.025916816666722298,
-0.03994666785001755,
0.015184300020337105,
-0.0055930642411112785,
0.03637207671999931,
0.0044865659438073635,
-0.008226574398577213,
-0.037443481385707855,
0.02095513977110386,
0.013860422186553478,
-0.007357186172157526,
-0.26064643263816833,
-0.009761903434991837,
0.0031450537499040365,
-0.009218943305313587,
0.028977978974580765,
-0.03904199227690697,
0.039665333926677704,
-0.047125380486249924,
-0.013796222396194935,
-0.0051717800088226795,
0.011550926603376865,
0.006562465336173773,
-0.0005704323411919177,
0.03899484500288963,
0.048935458064079285,
0.0272195003926754,
-0.015768475830554962,
-0.011954658664762974,
0.023283682763576508,
0.03474000096321106,
-0.03000127524137497,
-0.06017648056149483,
-0.011366794817149639,
0.04493418335914612,
-0.035659704357385635,
0.052731361240148544,
-0.05022210255265236,
-0.035046905279159546,
0.003035830333828926,
-0.04903237521648407,
0.021060636267066002,
-0.02983389049768448,
0.007560345809906721,
0.03757135942578316,
-0.0060775368474423885,
0.02360914647579193,
0.05493563413619995,
-0.0016106462571769953,
0.028165573254227638,
-0.017380647361278534,
0.0012085994239896536,
-0.025959264487028122,
-0.03414038568735123,
0.025111865252256393,
0.049383535981178284,
-0.02201845683157444,
-0.03128138184547424,
-0.01677618734538555,
0.001408430514857173,
0.036756839603185654,
0.015062449499964714,
-0.0006152112619020045,
0.027924658730626106,
-0.004467870108783245,
-0.05664179101586342,
-0.0072031752206385136,
0.04400011524558067,
0.014076978899538517,
-0.04299192503094673,
0.0024797224905341864,
0.026199916377663612,
-0.055222854018211365,
-0.013701587915420532,
-0.053997356444597244,
0.007381435949355364,
-0.04610074684023857,
-0.05945708230137825,
-0.06959846615791321,
0.04860420525074005,
0.036052681505680084,
-0.01931897923350334,
0.01343581359833479,
-0.03641750290989876,
-0.11471640318632126,
0.034208331257104874,
-0.030348924919962883,
0.002356176730245352,
-0.07308994978666306,
-0.028599847108125687,
0.034793660044670105,
-0.03760049119591713,
-0.05472417548298836,
0.06269571930170059,
0.01287822425365448,
0.013487644493579865,
-0.04348256438970566,
0.008189688436686993,
-0.05986953526735306,
0.01981264166533947,
-0.0295683853328228,
0.039425093680620193,
-0.031403981149196625,
0.011232603341341019,
0.019527386873960495,
0.04850864037871361,
0.054079797118902206,
0.05580678582191467,
0.0313446968793869,
0.05827035754919052,
-0.00992497242987156,
-0.010704809799790382,
-0.04916751757264137,
-0.022299928590655327,
-0.02515018731355667,
-0.03230402246117592,
-0.0072439671494066715,
-0.057006534188985825,
0.007572018075734377,
0.040354784578084946,
-0.013631990179419518,
-0.00911156740039587,
-0.019482692703604698,
0.018029026687145233,
-0.011919938027858734,
-0.034061916172504425,
-0.010261941701173782,
0.009901359677314758,
0.014897171407938004,
0.060599543154239655,
-0.022610893473029137,
0.020486481487751007,
0.024995429441332817,
0.012810731306672096,
0.0031534007284790277,
-0.017178529873490334,
0.003766594687476754,
-0.03719111159443855,
0.006047910079360008,
-0.022050656378269196,
-0.01502426341176033,
0.057165201753377914,
0.02909870259463787,
0.01860152557492256,
0.044230442494153976,
0.0367044061422348,
-0.023623259738087654,
-0.026756489649415016,
-0.02662043832242489,
0.0807202160358429,
-0.008015550673007965,
0.004831249825656414,
-0.032061897218227386,
0.04202243313193321,
0.044850219041109085,
0.016972403973340988,
0.02056756243109703,
-0.0047689578495919704,
0.02693302370607853,
-0.025696398690342903,
-0.0019121257355436683,
0.02254457026720047,
-0.028363540768623352,
-0.024790793657302856,
-0.018449338153004646,
0.03696027025580406,
-0.023278942331671715,
0.018481099978089333,
-0.022553035989403725,
-0.00934587698429823,
-0.05391295254230499,
0.04596930369734764,
0.02756515145301819,
-0.0448777861893177,
-0.0015823568683117628,
0.011213007383048534,
0.06819967925548553,
0.011331859976053238,
-0.014150254428386688,
0.01972017250955105,
0.005666667595505714,
0.020500335842370987,
-0.04518948122859001,
-0.04370002821087837,
-0.029374094679951668,
-0.05375219136476517,
0.015057464130222797,
-0.01145626325160265,
0.01662430167198181,
-0.033946532756090164,
0.04313153028488159,
0.032439760863780975,
-0.012902998365461826,
-0.014722324907779694,
-0.01844220608472824,
0.05385769158601761,
-0.0022176019847393036,
-0.012720941565930843,
-0.030920764431357384,
-0.01597314141690731,
0.04859083145856857,
-0.000004819148671231233,
0.033363182097673416,
-0.08067309111356735,
-0.004503820091485977,
-0.009743642061948776,
-0.05226004123687744,
0.012464920058846474,
-0.0019647334702312946,
-0.048658598214387894,
-0.013743252493441105,
-0.04831092059612274,
-0.022286176681518555,
-0.08002511411905289,
-0.01201189961284399,
0.017329959198832512,
-0.09191606193780899,
0.025276122614741325,
0.05060134455561638,
-0.04444466531276703,
-0.017982855439186096,
-0.036276474595069885,
-0.05287569388747215,
-0.06496868282556534,
-0.023810887709259987,
0.005773594137281179,
-0.017448648810386658,
-0.021423233672976494,
-0.02709643915295601,
-0.027808181941509247,
-0.023391442373394966,
0.012712960131466389,
0.029232032597064972,
-0.012124638073146343,
-0.0075896005146205425,
0.02390897087752819,
0.036407023668289185,
-0.026927229017019272,
0.04007912799715996,
-0.0029954183846712112,
0.0017167255282402039,
0.015637362375855446,
-0.0051511479541659355,
0.009466995485126972,
0.06870751827955246,
-0.011188410222530365,
0.05030784755945206,
-0.07723253220319748,
0.02455589361488819,
-0.00041176885133609176,
0.0278426855802536,
0.0384991355240345,
0.018481699749827385,
-0.023382138460874557,
0.022695496678352356,
0.0280513446778059,
0.0419568307697773,
-0.015431290492415428,
0.00934656709432602,
-0.0007300561992451549,
-0.018196670338511467,
0.01667514443397522,
-0.0013767190976068377,
-0.008877573534846306,
-0.02659987099468708,
0.04865070432424545,
-0.023542387410998344,
-0.02811223827302456,
-0.0504051148891449,
-0.04797706753015518,
0.025345219299197197,
0.000783364987000823,
0.032516684383153915,
-0.01974320411682129,
0.03663535416126251,
0.04634670168161392,
0.011807749979197979,
-0.015082400292158127,
-0.03599509969353676,
0.05283266305923462,
-0.04481344297528267,
0.033998336642980576,
-0.05891154333949089,
-0.003178369253873825,
0.04256733879446983,
-0.032694801688194275,
-0.018659327179193497,
0.03379549831151962,
-0.02492813766002655,
0.03294754773378372,
-0.03303593397140503,
-0.055953249335289,
0.02489170804619789,
-0.01377189252525568,
0.0008980429847724736,
-0.018818898126482964,
0.0025383280590176582,
0.03217583894729614,
-0.006925327703356743,
-0.03346109390258789,
-0.014391395263373852,
-0.023944560438394547,
0.02976461499929428,
-0.05412987247109413,
-0.00832117348909378,
-0.00880535040050745,
0.015173986554145813,
0.02525876834988594,
0.03354201838374138,
0.012711036950349808,
0.013553597964346409,
-0.013529223389923573,
0.08373132348060608,
0.0034348289482295513,
0.02108391374349594,
-0.006771944463253021,
-0.003074236446991563,
0.009115051478147507,
-0.053464215248823166,
0.051000095903873444,
0.022417670115828514,
-0.02020677737891674,
-0.05692914128303528,
0.053673066198825836,
0.06401322782039642,
-0.04571986198425293,
0.019550146535038948,
0.03000570833683014,
-0.03023075871169567,
0.004804531577974558,
-0.02461663819849491,
0.007960575632750988,
-0.0062800208106637,
0.054083824157714844,
0.0014548059552907944,
0.05426587909460068,
0.051095813512802124,
0.01745632104575634,
-0.0006035746191628277,
0.035499829798936844,
0.05370531603693962,
0.045867424458265305,
0.02968042716383934,
0.005181298591196537,
0.06153580918908119,
-0.046351563185453415,
-0.043224964290857315,
0.05133875831961632,
0.004431523848325014,
-0.011878818273544312,
-0.06462825834751129,
0.013892780989408493,
0.08486498147249222,
0.04565676674246788,
0.057961661368608475,
-0.05910034850239754,
-0.010669092647731304,
0.016945933923125267,
0.006430919282138348,
0.02032816968858242,
0.0250148456543684,
0.0254006739705801,
0.04354726895689964,
-0.014396418817341328,
-0.009601726196706295,
-0.005540939047932625,
-0.03908710926771164,
0.026812788099050522,
-0.025995679199695587,
-0.018341757357120514,
0.013338863849639893,
-0.003967888653278351,
0.03280498832464218,
0.07975621521472931,
-0.012620639055967331,
-0.07054194808006287,
-0.020843438804149628,
0.023200426250696182,
0.028791295364499092,
0.05129888281226158,
-0.017559939995408058,
-0.02437349408864975,
0.04946402087807655,
-0.06406673789024353,
0.018480002880096436,
0.05593689903616905,
-0.02937554009258747,
0.007103300653398037,
-0.019729699939489365,
-0.005628285929560661,
0.01666468195617199,
0.015862707048654556,
-0.022034984081983566,
-0.0382002629339695,
-0.018610773608088493,
-0.04630625247955322,
-0.04126497358083725,
-0.0446975938975811,
0.005733278580009937,
0.01613701693713665,
-0.021239347755908966,
-0.03967271000146866,
-0.02054741233587265,
0.0029363329522311687,
0.012503737583756447,
-0.06521577388048172,
0.01349765993654728,
0.0464666485786438,
0.014510149136185646,
-0.013801518827676773,
0.04746682941913605,
0.02433709427714348,
-0.028069280087947845,
-0.010957704856991768,
0.012831411324441433,
0.02307850867509842,
0.046210285276174545,
-0.03572528809309006,
-0.016614550724625587,
-0.08097366988658905,
-0.0011166230542585254,
0.02621273510158062,
-0.03239819407463074,
-0.07756903022527695,
0.024747364223003387,
-0.002916977507993579,
0.03483438864350319,
0.05584344640374184,
0.008220053277909756,
0.0327124148607254,
-0.026326050981879234,
-0.03064209781587124,
-0.034840043634176254,
0.0007604104466736317,
0.03025510162115097,
0.0087119834497571,
0.04275074973702431,
0.04667908698320389,
0.0001616835070308298,
-0.015197720378637314,
0.0060933432541787624,
0.008471974171698093,
0.012250267900526524,
-0.02994442917406559,
-0.05725761130452156,
-0.03794127702713013,
-0.10779426246881485,
-0.05176607519388199,
0.019171707332134247,
-0.0036699948832392693,
-0.05701230466365814,
-0.02231336385011673,
-0.016829462721943855,
-0.011695078574120998,
-0.038422536104917526,
0.009810329414904118,
-0.009476261213421822,
-0.04317198693752289,
-0.0420449823141098,
-0.09251849353313446,
0.02426382154226303,
-0.026297947391867638,
0.007427164353430271,
-0.02822617068886757,
-0.04695933312177658,
-0.01435051765292883,
-0.03104996308684349,
0.05316023528575897,
0.017238395288586617,
0.04560142010450363,
-0.010055603459477425
] |
https://github.com/AI4Forest/DUNIA
|
570 |
AdvPrompter: Fast Adaptive Adversarial Prompting for LLMs
|
https://openreview.net/forum?id=dqcl5SNbc8
|
[
"Anselm Paulus",
"Arman Zharmagambetov",
"Chuan Guo",
"Brandon Amos",
"Yuandong Tian"
] |
Poster
|
Large Language Models (LLMs) are vulnerable to **jailbreaking attacks** that lead to generation of inappropriate or harmful content.
Manual red-teaming requires a time-consuming search for adversarial prompts, whereas automatic adversarial prompt generation often leads to semantically meaningless attacks that do not scale well.
In this paper, we present a novel method that uses another LLM, called **AdvPrompter**, to generate human-readable adversarial prompts in seconds.
AdvPrompter, which is trained using an alternating optimization algorithm, generates suffixes that veil the input instruction without changing its meaning, such that the TargetLLM is lured to give a harmful response.
Experimental results on popular open source TargetLLM show highly competitive results on the AdvBench and HarmBench datasets, that also transfer to closed-source black-box LLMs.
We also show that training on adversarial suffixes generated by AdvPrompter is a promising strategy for improving the robustness of LLMs to jailbreaking attacks.
|
adversarial attacks, prompt optimization, red-teaming LLMs
|
A novel method for generating human-readable adversarial prompts in seconds for attacking and red-teaming LLMs.
| 12,977 |
2404.16873
|
[
-0.02929011732339859,
-0.04520892724394798,
-0.023621009662747383,
0.02757974900305271,
0.0017481294926255941,
0.023868758231401443,
0.05446601286530495,
-0.018080152571201324,
-0.03485112264752388,
-0.014142261818051338,
-0.0132004264742136,
0.0318899042904377,
-0.0626116618514061,
-0.017499351873993874,
0.001489682705141604,
0.055037859827280045,
0.00932958535850048,
0.00426530884578824,
0.04021473973989487,
0.004495406523346901,
-0.011240464635193348,
-0.008484786376357079,
0.05056433007121086,
0.01016478892415762,
0.02705778367817402,
0.019141826778650284,
0.024341905489563942,
0.010936455801129341,
-0.06890793889760971,
0.004053945187479258,
0.048809416592121124,
0.009831277653574944,
0.03376949951052666,
-0.014073092490434647,
0.019711600616574287,
0.011767466552555561,
-0.061430420726537704,
0.008714793249964714,
0.004927217029035091,
0.04605825990438461,
-0.04052235558629036,
0.02144702896475792,
-0.007002363912761211,
0.0062133739702403545,
-0.06368030607700348,
0.004548237659037113,
-0.07883709669113159,
0.021506626158952713,
0.009116762317717075,
-0.03590462729334831,
-0.13590633869171143,
0.03148050233721733,
-0.00470634363591671,
-0.01742834784090519,
0.03541688248515129,
0.004446207080036402,
0.07143422216176987,
-0.10854826122522354,
0.02442055195569992,
-0.03711504116654396,
-0.07443813234567642,
0.010152437724173069,
0.02827402763068676,
0.002175375819206238,
-0.005355713423341513,
-0.001381609938107431,
0.02458602748811245,
0.04600547254085541,
-0.08178867399692535,
-0.05075053125619888,
-0.011027652770280838,
0.041819389909505844,
-0.022648833692073822,
-0.04361134022474289,
0.021915951743721962,
-0.041358381509780884,
0.019513243809342384,
0.0192470271140337,
0.07292594015598297,
-0.02078557386994362,
-0.014669577591121197,
0.02211211994290352,
0.023154892027378082,
0.04753418266773224,
-0.004314851015806198,
0.014365283772349358,
-0.052799660712480545,
-0.00035483483225107193,
-0.06925565749406815,
0.023953745141625404,
0.00002208970909123309,
-0.046139225363731384,
0.02112804725766182,
0.021018534898757935,
0.014228053390979767,
0.019339624792337418,
0.02145703323185444,
0.036204710602760315,
-0.00797555223107338,
0.022762160748243332,
0.001966514391824603,
-0.03593047335743904,
0.018957721069455147,
0.00910273753106594,
-0.11993390321731567,
-0.00010930581629509106,
-0.04674249514937401,
-0.0023448793217539787,
-0.016526957973837852,
0.013219570741057396,
-0.011376241222023964,
0.016064731404185295,
0.007927138358354568,
-0.02620481140911579,
-0.0803040936589241,
0.04898538812994957,
-0.006317584775388241,
0.0274489913135767,
-0.004224015399813652,
0.011283441446721554,
0.041342925280332565,
0.036607977002859116,
0.01377153117209673,
0.07645121216773987,
0.009410359896719456,
0.019670428708195686,
0.01426328718662262,
0.04341069608926773,
-0.0007069557323120534,
-0.01783197559416294,
0.006260384805500507,
0.041285645216703415,
0.027559462934732437,
0.03329415246844292,
0.0016366095514968038,
0.02928026020526886,
-0.027932142838835716,
0.0318685807287693,
0.04013412073254585,
0.004690145142376423,
0.002695685951039195,
0.008365580812096596,
0.059731125831604004,
-0.030880477279424667,
0.05293821915984154,
-0.0018681400688365102,
-0.030401384457945824,
-0.020171109586954117,
-0.03875257074832916,
0.01014214288443327,
0.0008156504482030869,
-0.026086067780852318,
-0.008822251111268997,
-0.052485834807157516,
0.02708691917359829,
0.07270116358995438,
0.04242166504263878,
0.020814314484596252,
-0.027860326692461967,
0.00949628371745348,
0.00745483860373497,
0.006062317173928022,
-0.0723644569516182,
0.03279150649905205,
-0.0011637805728241801,
-0.02198251709342003,
-0.005248471163213253,
-0.015499113127589226,
-0.021719861775636673,
0.009283611550927162,
-0.03990694880485535,
-0.027741115540266037,
0.06406639516353607,
-0.026293529197573662,
-0.025408899411559105,
-0.016165371984243393,
0.06353941559791565,
0.020078187808394432,
0.046548355370759964,
0.05906033515930176,
-0.07347574830055237,
0.006908627226948738,
0.0332317128777504,
0.017816858366131783,
-0.012751404196023941,
-0.014176207594573498,
0.06824767589569092,
-0.03360144421458244,
0.027024177834391594,
0.040412187576293945,
-0.07992970943450928,
-0.007843933068215847,
0.03996550664305687,
-0.010631807148456573,
0.06966685503721237,
0.003983433824032545,
0.0066920737735927105,
0.03193001076579094,
0.01831943914294243,
0.06653156131505966,
0.051426079124212265,
-0.011517259292304516,
0.03766288235783577,
-0.014802847988903522,
-0.042351264506578445,
0.018002087250351906,
0.021113624796271324,
-0.048493221402168274,
-0.057120587676763535,
0.023438479751348495,
-0.020310020074248314,
-0.008441534824669361,
0.03074648790061474,
0.025176575407385826,
0.019920561462640762,
0.01572413370013237,
-0.023292703554034233,
0.0040069869719445705,
0.015586037188768387,
-0.0702122151851654,
0.02570682018995285,
-0.007209265138953924,
0.0020204612519592047,
-0.0062583633698523045,
-0.036729298532009125,
0.10372566431760788,
0.041153933852910995,
-0.03116869367659092,
0.007023816462606192,
-0.0009899614378809929,
-0.01154875848442316,
-0.024479379877448082,
0.01247610803693533,
-0.03793332353234291,
-0.004682114347815514,
-0.025716492906212807,
0.022445298731327057,
-0.03070925362408161,
0.05596693605184555,
-0.027395358309149742,
-0.001165386289358139,
0.0728774294257164,
-0.02660267800092697,
0.061391960829496384,
-0.02775563672184944,
0.022436978295445442,
0.024335280060768127,
0.003117439802736044,
0.0010993733303621411,
-0.007454012520611286,
-0.0018681216752156615,
-0.003968372941017151,
0.023859936743974686,
-0.02180899679660797,
0.0005829599103890359,
-0.04368257150053978,
-0.04894542694091797,
-0.034177687019109726,
0.06208674609661102,
0.04914126172661781,
-0.014630166813731194,
0.014799202792346478,
-0.005693295504897833,
-0.037175003439188004,
-0.0038803534116595984,
-0.12059071660041809,
0.006271334830671549,
0.016393810510635376,
0.031297467648983,
-0.009229913353919983,
0.017142748460173607,
0.0259307362139225,
-0.014297273941338062,
-0.04648261144757271,
-0.002992071909829974,
0.010384434834122658,
0.009938358329236507,
0.00896928459405899,
-0.06211813539266586,
-0.012556063011288643,
-0.03668344393372536,
0.04104761779308319,
-0.019269613549113274,
-0.0017638627905398607,
-0.02842351421713829,
-0.060104139149188995,
-0.005337057635188103,
-0.062418173998594284,
-0.04494699835777283,
0.03360303118824959,
-0.015862075611948967,
0.0448915921151638,
-0.011395158246159554,
0.03703315928578377,
0.033623263239860535,
0.04728017374873161,
0.022044457495212555,
0.0130702443420887,
-0.011832819320261478,
0.049474429339170456,
0.008689114823937416,
0.017181536182761192,
-0.029920682311058044,
0.03815092891454697,
-0.020093241706490517,
-0.008287489414215088,
0.008275510743260384,
-0.004463064018636942,
-0.26726773381233215,
-0.0021344549022614956,
0.029975974932312965,
-0.025538748130202293,
0.005061643198132515,
-0.006418638397008181,
0.04408486559987068,
-0.04965120926499367,
-0.033298343420028687,
-0.005043076816946268,
-0.020065879449248314,
0.02786802500486374,
0.03160934895277023,
0.01111505925655365,
0.02230798825621605,
0.028127096593379974,
-0.0005629219231195748,
-0.04819486662745476,
0.04309999570250511,
0.03201979398727417,
-0.00898472499102354,
-0.049750592559576035,
0.0050262869335711,
0.028004629537463188,
-0.02857734076678753,
0.06257310509681702,
-0.05349651351571083,
-0.004790772683918476,
-0.023735065013170242,
-0.00007567850116174668,
-0.024413730949163437,
-0.01069570705294609,
-0.028264319524168968,
0.012433785013854504,
-0.025139428675174713,
0.02967803366482258,
0.03599020466208458,
0.004152521025389433,
0.017413442954421043,
0.014427604153752327,
0.025214998051524162,
-0.037565045058727264,
0.0004827248048968613,
0.0074746436439454556,
0.06497973948717117,
0.015227185562252998,
-0.05743937939405441,
-0.027802718803286552,
-0.012863295152783394,
0.037743836641311646,
-0.002413773676380515,
-0.060934845358133316,
-0.011743055656552315,
0.018092211335897446,
0.01653061993420124,
-0.021854227408766747,
-0.008549804799258709,
-0.04065566137433052,
-0.013439057394862175,
0.027382375672459602,
0.017131267115473747,
-0.02195894531905651,
-0.035753995180130005,
-0.02788659743964672,
-0.015125046484172344,
-0.04772649332880974,
-0.03951072320342064,
-0.06749358773231506,
0.05621518939733505,
0.04445255175232887,
-0.014889905229210854,
0.04457545280456543,
0.01399527583271265,
-0.10098489373922348,
-0.0015255552716553211,
0.0192596223205328,
-0.045867759734392166,
-0.0007231801864691079,
0.01713212952017784,
0.035420048981904984,
-0.06189854443073273,
-0.03385525569319725,
-0.014650204218924046,
-0.017119115218520164,
0.01148644182831049,
-0.02143355831503868,
0.006478806957602501,
-0.015561765059828758,
0.008901319466531277,
-0.010265626944601536,
0.048845212906599045,
0.023811860010027885,
0.011638761498034,
0.011238417588174343,
0.05925081670284271,
0.03224718198180199,
0.05844010412693024,
0.04299008473753929,
0.053802065551280975,
0.008938056416809559,
0.015250117518007755,
-0.08574201911687851,
0.006648649927228689,
-0.05800560489296913,
-0.016994763165712357,
0.02919626049697399,
-0.05408749729394913,
-0.020360538735985756,
0.04409995675086975,
-0.03281068056821823,
-0.042626455426216125,
-0.04227351024746895,
0.008572688326239586,
0.009596696123480797,
-0.011914405040442944,
-0.015263097360730171,
0.027123676612973213,
0.029457740485668182,
0.012760110199451447,
-0.034758009016513824,
-0.08067232370376587,
0.03058784455060959,
0.0017712597036734223,
0.021112490445375443,
0.002263840055093169,
-0.019711948931217194,
0.01110096462070942,
0.024554628878831863,
0.016550127416849136,
-0.014758051373064518,
0.026108229532837868,
0.020602067932486534,
0.004029117990285158,
0.0038635467644780874,
0.06907995790243149,
-0.004710206296294928,
0.005034145899116993,
-0.015210537239909172,
0.03369785100221634,
0.011931989341974258,
0.0175038930028677,
-0.023143982514739037,
0.02997993864119053,
0.008778837509453297,
0.03755012899637222,
0.0006641303771175444,
0.0356409028172493,
-0.004497864283621311,
-0.010066523216664791,
-0.002420976059511304,
0.04426294565200806,
-0.046363428235054016,
0.018583418801426888,
-0.030967706814408302,
0.026537979021668434,
-0.004467452876269817,
0.01728878542780876,
-0.014511537738144398,
0.003278575371950865,
-0.07828708738088608,
0.07626856118440628,
0.002224240219220519,
0.001180153456516564,
0.00013401680917013437,
0.02655501291155815,
0.030714428052306175,
-0.023934315890073776,
0.004997174721211195,
0.009020685218274593,
0.00467101251706481,
-0.011739727109670639,
-0.027847271412611008,
-0.045262712985277176,
0.01439013984054327,
-0.009556409902870655,
-0.005031181499361992,
0.005119453649967909,
-0.00012463713937904686,
-0.02537575364112854,
0.044309038668870926,
0.0025988686829805374,
-0.031813882291316986,
0.02899211458861828,
0.028773881494998932,
0.0969211608171463,
-0.01955927349627018,
-0.006063363049179316,
-0.003594383830204606,
-0.028990957885980606,
0.038551557809114456,
-0.026894263923168182,
0.00037695112405344844,
-0.00276462291367352,
-0.036890920251607895,
-0.03441684693098068,
-0.06868898123502731,
-0.03669314458966255,
0.027560539543628693,
0.012231656350195408,
-0.03807003051042557,
0.003257826203480363,
-0.012916883453726768,
-0.02923011966049671,
-0.015898767858743668,
0.016746949404478073,
-0.06798415631055832,
0.014194183982908726,
0.007405884098261595,
0.003533672308549285,
0.02315521240234375,
-0.015421652235090733,
-0.05791159346699715,
-0.04861976578831673,
-0.007768582087010145,
0.02316385507583618,
-0.007233776617795229,
-0.036295659840106964,
-0.000860930304042995,
-0.010179957374930382,
-0.0287144985049963,
0.022622836753726006,
-0.04015142098069191,
-0.0022171407472342253,
0.015809975564479828,
-0.00884607620537281,
0.038349699229002,
-0.05641336739063263,
-0.014767748303711414,
0.05105213448405266,
-0.009108360856771469,
0.03681045025587082,
-0.04964582249522209,
0.04763262718915939,
0.03764721751213074,
0.002741642529144883,
0.014450237154960632,
-0.07737120985984802,
0.03190483897924423,
-0.034826479852199554,
-0.01861226186156273,
0.013388716615736485,
0.023961151018738747,
-0.04014180600643158,
0.014961941167712212,
0.013962340541183949,
0.027768665924668312,
0.004130896180868149,
0.00784631073474884,
-0.001683221198618412,
0.02111104317009449,
-0.00452160369604826,
0.058116812258958817,
-0.04776325821876526,
-0.015312734991312027,
0.043752554804086685,
-0.05773868411779404,
-0.012104792520403862,
-0.06387484818696976,
-0.025727903470396996,
0.010762887075543404,
-0.03291851282119751,
0.02180086448788643,
-0.022793946787714958,
0.06850678473711014,
0.005939458031207323,
0.010903698392212391,
0.010741432197391987,
-0.016978828236460686,
0.04976643994450569,
-0.022837672382593155,
-0.039094265550374985,
-0.08885228633880615,
0.028000904247164726,
0.06941812485456467,
-0.07116467505693436,
0.014300676062703133,
-0.0008964095031842589,
-0.03850254788994789,
0.027413593605160713,
-0.0031546393875032663,
-0.05363528057932854,
0.0157181229442358,
-0.0208310317248106,
-0.03460565581917763,
0.04529336094856262,
-0.03163537755608559,
0.009176725521683693,
0.003355003660544753,
-0.025309786200523376,
-0.01550042163580656,
-0.0019566628616303205,
0.04834595322608948,
-0.023175669834017754,
0.0022997281048446894,
-0.026477361097931862,
-0.008405111730098724,
-0.008702337741851807,
0.0414685495197773,
0.015375559218227863,
-0.016351426020264626,
-0.01570584997534752,
0.06250492483377457,
0.05062952637672424,
0.0015147748636081815,
0.0021477334666997194,
-0.00855595525354147,
-0.044733282178640366,
-0.08620364218950272,
0.07160919904708862,
-0.0027936056721955538,
-0.04686841741204262,
-0.045358818024396896,
0.06420745700597763,
0.01180181372910738,
-0.03536645323038101,
-0.01760861836373806,
0.024204611778259277,
-0.046881306916475296,
-0.009204370900988579,
-0.029597757384181023,
-0.0006684790132567286,
-0.013112816028296947,
0.06661677360534668,
0.01133661437779665,
0.026883140206336975,
0.0639476478099823,
0.026151876896619797,
-0.018780896440148354,
-0.006089034024626017,
0.055066220462322235,
0.0504060722887516,
0.05297624692320824,
-0.02136862650513649,
0.0694616362452507,
-0.05596630275249481,
-0.06139544025063515,
0.04086299240589142,
-0.006251412909477949,
-0.010274248197674751,
-0.05273744836449623,
0.025283213704824448,
0.09371747076511383,
-0.011456473730504513,
0.04756436496973038,
-0.05365226790308952,
-0.003580640070140362,
0.05345583334565163,
0.01189468614757061,
-0.007256076205521822,
0.043354809284210205,
0.04166701063513756,
-0.00514381704851985,
-0.013404875993728638,
-0.03272639587521553,
-0.004716137424111366,
-0.027657469734549522,
0.0059046330861747265,
0.006376134231686592,
-0.04332862049341202,
0.013424955308437347,
-0.0465281680226326,
-0.0003758257662411779,
0.10087831318378448,
-0.019617397338151932,
-0.03055666945874691,
0.02897721529006958,
0.05157875642180443,
0.03898971155285835,
0.03646961972117424,
-0.014064610935747623,
0.010217259638011456,
-0.012409526854753494,
-0.02421257086098194,
0.010813670232892036,
0.018038785085082054,
-0.013495323248207569,
0.038416579365730286,
0.0036964803002774715,
-0.021720975637435913,
0.008033450692892075,
-0.01306157186627388,
-0.014684940688312054,
-0.05723428353667259,
-0.020951848477125168,
-0.042024075984954834,
-0.03754010051488876,
-0.054343536496162415,
-0.02108873426914215,
0.012796835973858833,
-0.03664479777216911,
0.013062162324786186,
-0.04415503144264221,
0.014949437230825424,
0.011693943291902542,
-0.0558280423283577,
0.01157801877707243,
0.03586669638752937,
0.02936697192490101,
0.002916340483352542,
0.03752908110618591,
0.011987557634711266,
-0.011314533650875092,
-0.0482436902821064,
0.019725950434803963,
0.014734071679413319,
0.022992528975009918,
0.009400756098330021,
-0.0003723855479620397,
-0.10286521166563034,
0.02218824066221714,
0.030923614278435707,
-0.027070125564932823,
-0.07720206677913666,
0.02825586311519146,
-0.05027344822883606,
0.033773861825466156,
0.07841172069311142,
0.014403220266103745,
0.02003619074821472,
-0.0202060304582119,
0.0015513724647462368,
0.022077197209000587,
0.007422206457704306,
0.0357515923678875,
-0.010485329665243626,
0.05755342170596123,
0.01828312687575817,
-0.01801621913909912,
-0.03271667659282684,
0.007972367107868195,
0.0025966097600758076,
-0.016812436282634735,
-0.04747549816966057,
-0.016468018293380737,
-0.013133264146745205,
-0.08619818091392517,
0.014328263700008392,
0.02835574373602867,
-0.02745843306183815,
-0.03340236842632294,
0.019683901220560074,
-0.0059676626697182655,
-0.0008909707539714873,
-0.00714024668559432,
-0.020077144727110863,
-0.01926950365304947,
-0.039413973689079285,
-0.019348789006471634,
-0.0333527997136116,
0.025435984134674072,
-0.04219552502036095,
0.006670826580375433,
-0.02571130357682705,
-0.0472554937005043,
0.006673423573374748,
0.02991769276559353,
0.05320882797241211,
-0.0016270863125100732,
-0.010951332747936249,
-0.021238207817077637
] |
https://github.com/facebookresearch/advprompter
|
571 |
Optimizing Test-Time Compute via Meta Reinforcement Finetuning
|
https://openreview.net/forum?id=TqODUDsU4u
|
[
"Yuxiao Qu",
"Matthew Y. R. Yang",
"Amrith Setlur",
"Lewis Tunstall",
"Edward Emanuel Beeching",
"Ruslan Salakhutdinov",
"Aviral Kumar"
] |
Poster
|
Training models to efficiently use test-time compute is crucial for improving the reasoning performance of LLMs. While current methods mostly do so via fine-tuning on search traces or running RL against the 0/1 outcome reward, do these approaches efficiently utilize test-time compute? Would these approaches continue to scale as the budget improves? In this paper, we try to answer these questions. We formalize the problem of optimizing test-time compute as a meta reinforcement learning (RL) problem, which provides a principled perspective on spending test-time compute from the lens of exploration and exploitation. It also motivates the use of cumulative regret to measure the efficacy of test-time compute by viewing a long output stream as consisting of several episodes from the model. While current state-of-the-art models do not optimize regret, we show that regret can be minimized by running final 0/1 reward RL regularized by a dense reward bonus, given by the "information gain" from each subsequent block in the output stream. We prescribe an approach for quantifying information gain, which measures the utility of an intermediate segment of tokens towards improving accuracy of the final answer. We instantiate this idea to develop MRT, a new class of finetuning methods for optimizing test-time compute. Fine-tuning with MRT leads to substantial improvements in both performance and token efficiency on the AIME dataset.
|
meta-RL, test-time compute, information gain, self-correction, LLM optimization, cumulative regret, backtracking
|
This paper introduces a new paradigm to optimize test-time compute in LLMs
| 12,976 | null |
[
-0.015899578109383583,
-0.026561718434095383,
-0.0006324476562440395,
0.0738426074385643,
0.07332269847393036,
0.026468724012374878,
0.029729964211583138,
0.01275448314845562,
-0.03323763236403465,
-0.007527428679168224,
0.0015849494375288486,
0.035924773663282394,
-0.037474025040864944,
-0.01940205693244934,
-0.0007891618879511952,
0.06807690113782883,
0.048790525645017624,
-0.05431275814771652,
0.03457121551036835,
-0.014324060641229153,
0.0030583760235458612,
-0.021339286118745804,
0.045368436723947525,
0.037318505346775055,
0.0230534877628088,
0.03724755346775055,
0.04207415506243706,
0.018020879477262497,
-0.020601030439138412,
-0.013461971655488014,
0.04669938236474991,
-0.033160921186208725,
0.038104329258203506,
0.00496559776365757,
-0.029117975383996964,
0.00943511351943016,
-0.0048394654877483845,
0.008696543984115124,
0.017252949997782707,
0.009005747735500336,
-0.024651668965816498,
0.014636306092143059,
-0.019518498331308365,
0.015960130840539932,
-0.03349944204092026,
0.021417219191789627,
-0.08393951505422592,
0.008801105432212353,
0.014123992994427681,
-0.03771088644862175,
-0.09609105437994003,
0.07036896049976349,
-0.003747952403500676,
-0.02923489920794964,
-0.004487209487706423,
0.011960134841501713,
0.06644102931022644,
-0.07381944358348846,
-0.0002208889345638454,
-0.0688650980591774,
-0.052600760012865067,
0.015240241773426533,
-0.003566497704014182,
0.01624886319041252,
0.003299224190413952,
-0.030211059376597404,
0.040657855570316315,
0.04353947564959526,
-0.052604373544454575,
-0.008880664594471455,
-0.04672618582844734,
0.003372008679434657,
0.00001751927447912749,
0.02515968307852745,
-0.005083261523395777,
-0.028833288699388504,
0.021972374990582466,
0.021341826766729355,
0.039955951273441315,
0.013834544457495213,
-0.002031228970736265,
0.02987595833837986,
0.0511653795838356,
0.046215303242206573,
0.01998438686132431,
0.00470425421372056,
-0.030402623116970062,
-0.03347448259592056,
-0.08401285856962204,
0.0443890355527401,
-0.0033101330045610666,
-0.037723273038864136,
0.012284544296562672,
0.05323506146669388,
0.03685978800058365,
-0.0047081089578568935,
0.01990191638469696,
0.024893304333090782,
0.009339584968984127,
-0.004249862860888243,
-0.015246574766933918,
-0.0463457927107811,
0.02320842444896698,
-0.00771284056827426,
-0.09315136075019836,
-0.0049601951614022255,
-0.015733418986201286,
-0.032765232026576996,
-0.02503015473484993,
0.039709847420454025,
-0.03865307942032814,
-0.01242853794246912,
0.009440751746296883,
-0.012793324887752533,
-0.10528689622879028,
0.01993759162724018,
0.001683476148173213,
0.04918878152966499,
-0.017538465559482574,
0.018974708393216133,
0.037765417248010635,
0.05519237369298935,
-0.00681273965165019,
0.05325689911842346,
0.020418457686901093,
0.002570899436250329,
0.03795074298977852,
0.022087350487709045,
-0.024861345067620277,
-0.03381219133734703,
0.03283543884754181,
0.03543806076049805,
-0.008281723596155643,
0.012681372463703156,
-0.04628376290202141,
0.01856873743236065,
0.004353726282715797,
-0.0017815507017076015,
0.05769621953368187,
0.010470369830727577,
-0.004114232026040554,
-0.027100378647446632,
0.08404684066772461,
-0.03874499350786209,
0.06767477840185165,
-0.023084787651896477,
0.009584133513271809,
-0.008262081071734428,
-0.03352532908320427,
0.00003092575934715569,
0.001666645985096693,
0.008411088027060032,
-0.03747403249144554,
-0.07397166639566422,
0.03556645289063454,
0.0636623427271843,
0.012047389522194862,
0.023527713492512703,
-0.0036395001225173473,
0.02251318283379078,
0.009146036580204964,
0.0015114335110411048,
-0.038234926760196686,
-0.007812544703483582,
-0.001618765527382493,
-0.04402536153793335,
0.0374567024409771,
0.019568121060729027,
-0.025304943323135376,
-0.023545751348137856,
-0.04398098215460777,
-0.05073919519782066,
0.04202359914779663,
-0.009550253860652447,
-0.011593055911362171,
0.015666421502828598,
0.06363587081432343,
-0.021313883364200592,
0.026476876810193062,
-0.009910677559673786,
-0.07797007262706757,
0.027720829471945763,
-0.0012263049138709903,
0.02182941325008869,
-0.008484459482133389,
-0.02048465982079506,
0.0921885073184967,
-0.04909911006689072,
0.003503968007862568,
0.00040426148916594684,
-0.0939188003540039,
-0.012216605246067047,
0.02400263026356697,
-0.03135117143392563,
0.06308009475469589,
0.017711259424686432,
-0.024162117391824722,
0.03311251103878021,
0.035834453999996185,
0.06022455170750618,
0.05009487643837929,
-0.019964691251516342,
0.05294494330883026,
-0.0032575081568211317,
-0.024728266522288322,
0.015496852807700634,
0.04566449299454689,
-0.062069494277238846,
-0.02790057845413685,
0.0321563184261322,
-0.02604883350431919,
0.015117662027478218,
0.0035958262160420418,
0.0037178487982600927,
0.01604779064655304,
0.002763090655207634,
-0.0023262968752533197,
0.007080825977027416,
0.02188231609761715,
-0.0712037980556488,
0.05227864533662796,
0.0004787917423527688,
-0.022602152079343796,
0.011296672746539116,
-0.03438800200819969,
0.07892455160617828,
0.050838928669691086,
-0.04551737755537033,
-0.022135909646749496,
0.04665135219693184,
-0.02519823983311653,
0.00906703993678093,
-0.011124050244688988,
-0.05126050114631653,
0.032544657588005066,
-0.011953642591834068,
-0.005036075599491596,
-0.022560229524970055,
0.04185717925429344,
-0.03066881373524666,
-0.02058633789420128,
0.05443209409713745,
-0.01613033190369606,
0.068172886967659,
0.013004809617996216,
-0.00508883548900485,
0.004745604004710913,
0.011710437014698982,
-0.006419666111469269,
-0.02026236057281494,
-0.016685986891388893,
-0.013531681150197983,
0.011896981857717037,
-0.027215521782636642,
0.002665711799636483,
-0.05972893908619881,
-0.018152015283703804,
-0.021574776619672775,
0.053832948207855225,
0.05301858112215996,
-0.005492762196809053,
0.045068223029375076,
-0.006660411600023508,
-0.02864169143140316,
0.008778315968811512,
-0.10587847232818604,
-0.034590475261211395,
0.012577258981764317,
0.03135848417878151,
-0.0003832568763755262,
0.0006326991715468466,
-0.02738124504685402,
0.04290768876671791,
-0.012430115602910519,
-0.07441361993551254,
-0.022273307666182518,
0.030516626313328743,
0.009429561905562878,
-0.04060175269842148,
-0.015301793813705444,
0.021748648956418037,
0.08104832470417023,
-0.03676944971084595,
-0.002169694984331727,
-0.03353644907474518,
-0.037630390375852585,
-0.02417205087840557,
-0.06816671043634415,
-0.007204142399132252,
0.0038615157827734947,
0.018568294122815132,
0.0278733242303133,
-0.03790867328643799,
0.029463933780789375,
0.05835937708616257,
0.07473541051149368,
0.062184665352106094,
0.009497023187577724,
0.0029589005280286074,
0.01829969510436058,
-0.006286884658038616,
0.006373737473040819,
-0.03322495147585869,
0.04325887933373451,
-0.006666384171694517,
-0.038057249039411545,
-0.006809585727751255,
0.0036473169457167387,
-0.24891109764575958,
-0.03454955667257309,
-0.004397079814225435,
0.024023443460464478,
0.00849470030516386,
-0.014658969826996326,
0.062469519674777985,
-0.019553640857338905,
-0.020684480667114258,
0.007642778102308512,
0.030926981940865517,
0.023359175771474838,
0.008494336158037186,
0.05830496549606323,
0.04724138230085373,
0.035545334219932556,
-0.00780564546585083,
-0.02048407681286335,
-0.003579390235245228,
0.021351197734475136,
0.011768830008804798,
-0.09866328537464142,
-0.00956733524799347,
0.02324884571135044,
0.008719787001609802,
0.07680230587720871,
-0.08272311091423035,
0.009752987883985043,
-0.033770207315683365,
-0.012557615526020527,
-0.010288986377418041,
-0.029938245192170143,
-0.01165013574063778,
0.0243558157235384,
0.043644193559885025,
0.00671723997220397,
0.039808813482522964,
-0.03345441818237305,
0.03781880438327789,
0.034542515873909,
-0.012658598832786083,
-0.012911132536828518,
-0.03080925904214382,
0.02240774594247341,
0.061490610241889954,
0.0263703390955925,
-0.06916514039039612,
-0.027189308777451515,
-0.0021463055163621902,
0.03649844974279404,
-0.021312925964593887,
-0.016327625140547752,
-0.031215647235512733,
0.009387328289449215,
-0.010962518863379955,
-0.03107123263180256,
0.0043584019877016544,
-0.025547774508595467,
-0.017915764823555946,
0.016766078770160675,
-0.008919975720345974,
-0.038114044815301895,
-0.019108114764094353,
-0.023432936519384384,
-0.01693662814795971,
-0.04708307608962059,
-0.045556724071502686,
-0.032785866409540176,
0.04062042757868767,
0.01974327862262726,
-0.013816491700708866,
-0.010165133513510227,
-0.016249066218733788,
-0.0880541279911995,
-0.025977330282330513,
-0.012579233385622501,
-0.007545852102339268,
-0.0010090791620314121,
0.00128333386965096,
0.07878478616476059,
-0.045548681169748306,
-0.04587342217564583,
-0.019307387992739677,
-0.012379373423755169,
0.04504727944731712,
-0.009880614466965199,
-0.008453036658465862,
-0.04926469549536705,
-0.0052835894748568535,
-0.030070103704929352,
0.028590600937604904,
0.00010073914745589718,
0.010198500007390976,
0.0008287292439490557,
0.08693006634712219,
0.02400665543973446,
0.05137840285897255,
0.0526215136051178,
0.037089187651872635,
0.015374583192169666,
-0.005066345911473036,
-0.08396238088607788,
0.020223474130034447,
-0.026716578751802444,
-0.031371187418699265,
0.013025139458477497,
-0.047450605779886246,
-0.002035462995991111,
0.04439925774931908,
-0.0008705302025191486,
-0.012227158062160015,
-0.02433733455836773,
-0.012091574259102345,
0.0007936811889521778,
-0.007026574574410915,
-0.014219949021935463,
0.008322727866470814,
0.009636152535676956,
0.019785167649388313,
-0.01384690124541521,
-0.0500747412443161,
0.023418165743350983,
-0.03334726393222809,
0.021754655987024307,
-0.00373535742983222,
-0.006511666812002659,
0.010417014360427856,
-0.012021750211715698,
0.011207066476345062,
-0.020542366430163383,
0.03388594090938568,
0.04052870720624924,
-0.0030427412129938602,
0.024263720959424973,
0.021132484078407288,
-0.04671140015125275,
-0.0039174510166049,
0.019881054759025574,
0.033311616629362106,
-0.03509710356593132,
0.02180980145931244,
-0.01644042134284973,
0.06470789760351181,
0.02758033759891987,
0.020798932760953903,
0.03058386780321598,
0.006347952410578728,
-0.0029128289315849543,
0.011387177743017673,
0.0020166109316051006,
0.04898780956864357,
-0.09117955714464188,
0.02196558192372322,
-0.03662525862455368,
0.04207118600606918,
-0.017582645639777184,
0.009171001613140106,
-0.03518012538552284,
0.009315802715718746,
-0.052958883345127106,
0.023561187088489532,
0.005923316348344088,
-0.005322090815752745,
0.003771941876038909,
0.020284337922930717,
0.052359189838171005,
-0.0332147479057312,
0.004729478154331446,
0.013834468089044094,
0.0027437391690909863,
0.0029729024972766638,
-0.05609739571809769,
-0.03828516975045204,
-0.005109941586852074,
-0.04663994163274765,
0.004128885455429554,
0.03477818891406059,
-0.05351295322179794,
-0.021109476685523987,
0.026807328686118126,
-0.025474026799201965,
-0.029475267976522446,
-0.008654484525322914,
-0.010624083690345287,
0.06423883140087128,
-0.015748070552945137,
0.03820715472102165,
-0.0008481811382807791,
-0.04372737556695938,
0.024309201166033745,
0.009483703412115574,
0.0020866538397967815,
0.019841758534312248,
-0.037930816411972046,
-0.039010681211948395,
-0.02748989500105381,
0.012782730162143707,
0.010729780420660973,
0.021263061091303825,
-0.00875688437372446,
0.005855907686054707,
-0.0121221374720335,
-0.023057883605360985,
-0.019953066483139992,
0.031274326145648956,
-0.05743212625384331,
-0.0006936858990229666,
0.028079934418201447,
0.004894213285297155,
0.04316408559679985,
-0.0645943358540535,
-0.013822372071444988,
-0.02533888630568981,
0.0032597144600003958,
0.01486472599208355,
-0.05493403971195221,
-0.018169796094298363,
0.010140763595700264,
-0.013244550675153732,
-0.009119339287281036,
-0.006725305691361427,
-0.004595478996634483,
-0.010709479451179504,
-0.030614621937274933,
-0.005520195700228214,
0.03246903046965599,
-0.007147228345274925,
-0.045628871768713,
0.018104396760463715,
-0.029758987948298454,
0.028277728706598282,
-0.0627446174621582,
0.011789041571319103,
0.03599279746413231,
0.0007352306856773794,
0.007625287398695946,
-0.0448831245303154,
0.06018086150288582,
-0.004707858897745609,
-0.04291944205760956,
-0.02184244617819786,
-0.014566745609045029,
-0.03705308958888054,
0.005748642608523369,
0.0005756470491178334,
0.03135136514902115,
0.020948486402630806,
-0.010465760715305805,
0.007503392640501261,
0.00884689949452877,
0.025306591764092445,
0.02023192308843136,
-0.03427034988999367,
0.0015173559077084064,
0.08541440218687057,
-0.033803313970565796,
-0.011347917839884758,
-0.06877567619085312,
-0.038126807659864426,
0.025031207129359245,
-0.0474107526242733,
0.0002446249418426305,
-0.04129496216773987,
0.02377150021493435,
-0.008986254222691059,
0.04130265861749649,
0.013974149711430073,
-0.03485075756907463,
0.04796735197305679,
-0.05645930394530296,
0.009169611148536205,
-0.08021511137485504,
-0.00923977978527546,
0.06539236009120941,
-0.04615836963057518,
0.01462081354111433,
0.012629611417651176,
-0.05363645404577255,
0.0517280139029026,
-0.0024967400822788477,
-0.0650453120470047,
0.024855371564626694,
-0.024875469505786896,
-0.006457228679209948,
0.05495060235261917,
-0.04657909646630287,
-0.02059055119752884,
-0.0011295686708763242,
-0.015905262902379036,
0.03628662973642349,
0.010845290496945381,
0.03124174103140831,
-0.0004685074381995946,
0.008102559484541416,
-0.04867932200431824,
-0.003538510063663125,
0.00484291510656476,
0.033894337713718414,
0.024592064321041107,
0.03386763855814934,
-0.036578718572854996,
0.06060527265071869,
0.04596877843141556,
0.04411596059799194,
0.007963651791214943,
0.021098127588629723,
-0.022246217355132103,
-0.009133647195994854,
0.04250415787100792,
-0.042211201041936874,
-0.015445001423358917,
-0.05664033070206642,
0.05227174982428551,
0.015440981835126877,
-0.05270509049296379,
-0.017640534788370132,
0.022262727841734886,
-0.06885042786598206,
-0.01932309754192829,
-0.001871349522843957,
-0.007316953502595425,
0.01163925975561142,
0.0901651531457901,
0.03373200446367264,
0.07304749637842178,
0.09074527770280838,
0.02660149335861206,
-0.03804205358028412,
0.015052015893161297,
0.07522998750209808,
0.06856375187635422,
0.04608498886227608,
-0.008371028117835522,
0.06351346522569656,
-0.03541591763496399,
-0.05100027099251747,
0.031052302569150925,
-0.005641483701765537,
-0.02184450440108776,
-0.014512991532683372,
0.03303884342312813,
0.07190660387277603,
-0.021858738735318184,
0.05847778916358948,
-0.05801998823881149,
0.0013488963013514876,
0.07708529382944107,
0.004173585679382086,
0.020439647138118744,
0.048918768763542175,
0.009987708181142807,
0.014901123940944672,
-0.028688611462712288,
-0.0423402413725853,
0.02323613502085209,
-0.014686960726976395,
0.0030764758121222258,
0.01308388076722622,
-0.029444877058267593,
0.010730619542300701,
0.01472399290651083,
0.010711602866649628,
0.10135450214147568,
-0.050231415778398514,
-0.007677763234823942,
0.018793147057294846,
-0.0035132472403347492,
0.012516243383288383,
0.018893728032708168,
-0.024551037698984146,
-0.04318291321396828,
-0.0082710525020957,
-0.03686469793319702,
0.03736652806401253,
0.04376519098877907,
-0.011021404527127743,
0.025635357946157455,
-0.03698306903243065,
-0.030428096652030945,
0.04689108952879906,
0.026014132425189018,
-0.0528830848634243,
-0.032589126378297806,
-0.06526529043912888,
-0.028848521411418915,
-0.04952549561858177,
-0.022875379770994186,
-0.007978977635502815,
-0.006958481855690479,
-0.03399939462542534,
-0.006165248807519674,
-0.011928887106478214,
0.005714548751711845,
0.005220047198235989,
-0.049615468829870224,
-0.031060591340065002,
0.033346544951200485,
-0.022031690925359726,
0.014090282842516899,
0.049432653933763504,
0.03836524114012718,
-0.015035261400043964,
-0.021907443180680275,
0.007809811271727085,
-0.00721475575119257,
-0.004846029449254274,
-0.011452802456915379,
-0.004448672290891409,
-0.09570895880460739,
-0.005148423369973898,
0.025869574397802353,
-0.03227290138602257,
-0.05729814991354942,
0.008928264491260052,
-0.05636054649949074,
-0.00043425668263807893,
0.06742513179779053,
0.0030757563654333353,
0.017001107335090637,
-0.015960922464728355,
-0.028259824961423874,
0.031088121235370636,
0.03787430003285408,
0.05476226285099983,
-0.01708279550075531,
0.049053534865379333,
0.0350843220949173,
-0.0724196657538414,
-0.052362456917762756,
0.04146530479192734,
-0.0027500903233885765,
-0.012141318060457706,
-0.02769598178565502,
-0.02136543206870556,
-0.02097977325320244,
-0.08916831016540527,
-0.012152792885899544,
0.013036428950726986,
0.005807569250464439,
-0.02341601438820362,
-0.00966914463788271,
-0.02796155959367752,
-0.0392654649913311,
0.01714867725968361,
-0.038523610681295395,
-0.007764902431517839,
-0.043323665857315063,
-0.034834396094083786,
-0.03457947075366974,
0.026608465239405632,
-0.013116074725985527,
0.02580045349895954,
-0.004520604852586985,
-0.04805644601583481,
-0.010656156577169895,
-0.0006673131138086319,
0.02431115321815014,
0.03868623822927475,
-0.004322357941418886,
-0.017763784155249596
] |
https://github.com/CMU-AIRe/MRT
|
572 |
Potemkin Understanding in Large Language Models
|
https://openreview.net/forum?id=oetxkccLoq
|
[
"Marina Mancoridis",
"Bec Weeks",
"Keyon Vafa",
"Sendhil Mullainathan"
] |
Poster
|
Large language models (LLMs) are regularly evaluated using benchmark datasets. But what justifies making inferences about an LLM's capabilities based on its answers to a curated set of questions? This paper first introduces a formal framework to address this question. The key is to note that the benchmarks used to test LLMs---such as AP exams---are also those used to test people. However, this raises an implication: such benchmarks are only valid tests if LLMs misunderstand concepts in ways that mirror human misunderstandings. Otherwise, success on benchmarks only demonstrates **potemkin understanding:** the illusion of understanding driven by answers irreconcilable with how any human would interpret a concept. We present two procedures for quantifying the existence of potemkins: one using a specially designed benchmark in three domains, the other using a general procedure that provides a lower-bound on their prevalence. We find that potemkins are ubiquitous across models, tasks, and domains. We also find that these failures reflect not just incorrect understanding, but deeper internal incoherence in concept representations.
|
evaluation, benchmark, large language models, potemkin understanding
|
We find that large language models exhibit a category of failure in conceptual comprehension called potemkin understanding.
| 12,975 |
2506.21521
|
[
-0.0296609066426754,
-0.00965181551873684,
-0.025998380035161972,
0.03100450709462166,
0.04706275463104248,
0.019692933186888695,
0.04045846313238144,
0.021379945799708366,
-0.03802058845758438,
0.0020946802105754614,
-0.01898551732301712,
0.031154364347457886,
-0.04729136824607849,
0.001253316760994494,
-0.0037728387396782637,
0.08498042821884155,
0.03064463846385479,
-0.00039772698073647916,
0.03022962063550949,
0.0037847543135285378,
0.015374061651527882,
-0.0035891146399080753,
0.034253887832164764,
0.020782697945833206,
0.0298940259963274,
0.007555912248790264,
0.020186612382531166,
-0.012822020798921585,
-0.04726514592766762,
0.0226772278547287,
0.030616268515586853,
-0.02194398082792759,
0.03526277467608452,
-0.015531735494732857,
-0.003073593834415078,
0.007695196662098169,
-0.047275036573410034,
0.028050364926457405,
0.009252662770450115,
0.0008780514472164214,
-0.03865028917789459,
0.03208670765161514,
0.005428409203886986,
0.00038225410389713943,
-0.07771789282560349,
-0.004316989798098803,
-0.11376303434371948,
0.05439497530460358,
0.00600969884544611,
-0.009527206420898438,
-0.11633510142564774,
0.03595738857984543,
0.003194256918504834,
-0.02071976102888584,
-0.005889516789466143,
0.050943486392498016,
0.01821742206811905,
-0.09947368502616882,
0.01925618387758732,
-0.03148295730352402,
-0.020905688405036926,
0.028732648119330406,
0.00604726979508996,
-0.0004063213418703526,
0.014069067314267159,
-0.03548339009284973,
-0.0059500630013644695,
0.036989063024520874,
-0.10331926494836807,
-0.02319069392979145,
-0.02804441936314106,
0.021638235077261925,
-0.017554519698023796,
-0.002577221253886819,
0.012178471311926842,
-0.07265417277812958,
0.023778526112437248,
0.03492699936032295,
0.05028563737869263,
0.0039545693434774876,
-0.013168198056519032,
0.03073914721608162,
0.027534382417798042,
0.05217159539461136,
0.02763865329325199,
0.00312258442863822,
-0.030445540323853493,
-0.0333174392580986,
-0.0478944331407547,
0.0295345950871706,
0.033630114048719406,
-0.0730665847659111,
0.023149380460381508,
-0.0052638184279203415,
-0.004007757641375065,
0.0071129160933196545,
0.012764228507876396,
0.02442113123834133,
-0.01124583650380373,
0.012034766376018524,
-0.046580445021390915,
-0.03406785428524017,
0.028939833864569664,
0.020189767703413963,
-0.11165577918291092,
-0.01052633672952652,
-0.01987341418862343,
-0.010757124982774258,
0.01043105497956276,
0.004456003196537495,
-0.024254556745290756,
-0.010557696223258972,
0.011558027938008308,
-0.016471706330776215,
-0.07277868688106537,
0.06211413815617561,
0.007805147673934698,
0.028313394635915756,
-0.007121589034795761,
0.0168857891112566,
0.03758959844708443,
0.04159323871135712,
0.01016752514988184,
0.09053207188844681,
-0.028782781213521957,
0.015807079151272774,
0.005558130796998739,
0.017254864796996117,
-0.02133963443338871,
-0.05539077892899513,
0.00786591786891222,
0.04662608355283737,
-0.004994058515876532,
-0.0017931275069713593,
-0.009666658006608486,
-0.029008284211158752,
0.027267523109912872,
-0.000481512543046847,
0.022843332961201668,
0.019846903160214424,
0.003549751127138734,
0.008567610755562782,
0.06164244934916496,
-0.014085894450545311,
0.07022158056497574,
0.004905167501419783,
-0.020959168672561646,
-0.02339041233062744,
-0.03182156756520271,
-0.016275113448500633,
0.0005913536297157407,
0.026449738070368767,
0.0002859191154129803,
-0.04954645782709122,
0.055330559611320496,
0.07093368470668793,
0.017791880294680595,
-0.02943563461303711,
0.00738017400726676,
0.00473493617027998,
0.018111420795321465,
0.008257624693214893,
-0.0417291522026062,
0.0213937908411026,
-0.0005323041696101427,
-0.05778174847364426,
0.0006168287363834679,
0.019069526344537735,
-0.04302690178155899,
0.017914364114403725,
-0.03362886980175972,
-0.026575205847620964,
0.08156745135784149,
-0.035102371126413345,
-0.004893581382930279,
-0.007574419490993023,
0.05345585569739342,
0.007908718660473824,
0.03481769934296608,
0.02156931534409523,
-0.08617273718118668,
0.021075760945677757,
-0.019106006249785423,
0.014131284318864346,
0.005779767408967018,
-0.004297138657420874,
0.0812462866306305,
-0.044394612312316895,
-0.002216059248894453,
0.0068437810987234116,
-0.07225202023983002,
-0.029009375721216202,
0.008097154088318348,
0.0012489926302805543,
0.08866962790489197,
-0.030155280604958534,
-0.007460199762135744,
0.046661294996738434,
0.04065380245447159,
0.051448725163936615,
0.04056994989514351,
-0.017200563102960587,
0.02971762791275978,
-0.003769699949771166,
-0.01750936545431614,
0.016865069046616554,
0.02578393928706646,
-0.0716058686375618,
-0.045330747961997986,
0.025531992316246033,
-0.007985619828104973,
-0.0071443053893744946,
0.018551670014858246,
-0.00614210544154048,
-0.02046993374824524,
0.014897378161549568,
0.0044663711450994015,
0.0022551422007381916,
0.0019391096429899335,
-0.03898146003484726,
0.03169556334614754,
0.013928607106208801,
0.010884222574532032,
-0.028617655858397484,
-0.0421355739235878,
0.09430903196334839,
0.08239181339740753,
-0.011813873425126076,
-0.02718244306743145,
0.018217382952570915,
0.028156109154224396,
-0.004188271705061197,
0.006841047666966915,
-0.020674236118793488,
-0.003691811580210924,
-0.03401978686451912,
0.0023861946538090706,
-0.03038070909678936,
0.06388555467128754,
-0.03397051617503166,
-0.013054710812866688,
0.06940145790576935,
-0.02160448394715786,
0.05591332167387009,
-0.02154211886227131,
0.007747860625386238,
0.02264971286058426,
-0.007966889999806881,
-0.031413786113262177,
-0.024075213819742203,
-0.003628272796049714,
-0.020219746977090836,
0.006717680022120476,
-0.03760065138339996,
-0.018534153699874878,
-0.04638998955488205,
-0.010964066721498966,
-0.004765941295772791,
0.059357915073633194,
0.034458983689546585,
0.012396018020808697,
0.04313955828547478,
-0.0030227303504943848,
-0.038018833845853806,
0.014574778266251087,
-0.09673405438661575,
-0.03032613918185234,
-0.02841082401573658,
0.02599700354039669,
-0.0021666381508111954,
0.036166075617074966,
-0.020889148116111755,
0.016161208972334862,
-0.037298254668712616,
-0.0005374224274419248,
-0.004460218362510204,
0.03742211312055588,
-0.027659744024276733,
-0.0458681546151638,
-0.005008303094655275,
-0.01599264144897461,
0.06808555871248245,
-0.01563340611755848,
-0.026053208857774734,
-0.021800680086016655,
-0.034207191318273544,
-0.008074235171079636,
-0.04115608334541321,
-0.007860835641622543,
0.03359682485461235,
0.045638684183359146,
0.014720948413014412,
-0.03257092460989952,
0.01136010978370905,
0.05215267464518547,
0.047235194593667984,
0.03972059488296509,
-0.007598537486046553,
0.0004091425216756761,
0.06366477161645889,
-0.01881706714630127,
0.007350764237344265,
-0.021855657920241356,
0.03089298866689205,
0.008161738514900208,
0.010391678661108017,
0.011794052086770535,
0.001472711912356317,
-0.2620604932308197,
-0.005242827348411083,
-0.009545858018100262,
-0.04469780996441841,
0.043844398111104965,
-0.026664044708013535,
0.04678616672754288,
-0.023622840642929077,
-0.024612685665488243,
0.0034095991868525743,
0.008192136883735657,
0.03292624652385712,
-0.009769257158041,
0.06559008359909058,
0.055787380784749985,
0.04429280385375023,
-0.002765367506071925,
-0.04118817299604416,
0.011274339631199837,
0.036398835480213165,
-0.00033095452818088233,
-0.06170130893588066,
-0.03211158141493797,
0.0797068253159523,
0.014568382874131203,
0.06303948909044266,
-0.07068575918674469,
0.006448668427765369,
-0.029881836846470833,
0.016746660694479942,
-0.014388670213520527,
-0.017141740769147873,
-0.00216816202737391,
0.023539673537015915,
-0.011114312335848808,
0.01974327117204666,
0.033938486129045486,
0.001397028798237443,
0.010424843057990074,
0.02039038948714733,
-0.003068347694352269,
-0.030378367751836777,
-0.018753860145807266,
-0.017865361645817757,
0.04230726510286331,
-0.0021896238904446363,
-0.047746751457452774,
-0.028409410268068314,
-0.015536036342382431,
0.020703818649053574,
-0.023472625762224197,
-0.029864037409424782,
-0.01105907466262579,
0.0031082103960216045,
0.012331211008131504,
-0.0045256102457642555,
0.015767350792884827,
-0.026366181671619415,
-0.03230578452348709,
0.00304736802354455,
-0.010715152136981487,
-0.044470563530921936,
-0.018075015395879745,
-0.02767404355108738,
-0.033087197691202164,
-0.03637605905532837,
-0.07101594656705856,
-0.04983444884419441,
0.05090580880641937,
0.024015646427869797,
-0.04187688231468201,
0.0016131955198943615,
-0.016338013112545013,
-0.08869873732328415,
-0.0033124249894171953,
-0.0034732790663838387,
-0.026990968734025955,
0.002622301923111081,
0.022295121103525162,
0.030825885012745857,
-0.07476302236318588,
-0.024458272382616997,
-0.021399274468421936,
0.011844766326248646,
0.020221957936882973,
-0.015683704987168312,
-0.008236562833189964,
-0.02606634609401226,
-0.028657296672463417,
-0.01580071449279785,
0.027718117460608482,
0.006638374179601669,
-0.006528360303491354,
0.019673652946949005,
0.03296737000346184,
0.032169684767723083,
0.025123152881860733,
0.0654720664024353,
0.041198745369911194,
0.01668984442949295,
-0.03149978071451187,
-0.07775362581014633,
-0.0029793069697916508,
-0.0076232971623539925,
-0.012704932130873203,
0.011876765638589859,
-0.08442773669958115,
-0.02413376420736313,
0.06684978306293488,
-0.012857305817306042,
-0.03632288798689842,
-0.02612120844423771,
0.015091149136424065,
0.004118821583688259,
-0.02506716363132,
-0.0030397833324968815,
0.00880588497966528,
0.045518822968006134,
0.03664470463991165,
-0.016712479293346405,
-0.04330472648143768,
0.053245630115270615,
-0.012064451351761818,
0.027336984872817993,
-0.00452779047191143,
-0.02567729540169239,
0.0131604615598917,
-0.04188152402639389,
-0.006634165998548269,
0.002048905473202467,
0.0044514089822769165,
0.02630162052810192,
-0.0009752424084581435,
0.00039879887481220067,
0.06787572801113129,
-0.0018543197074905038,
0.003288190346211195,
-0.004828862380236387,
0.014838636852800846,
-0.024848144501447678,
-0.009434475563466549,
-0.033877916634082794,
0.04208386689424515,
0.05311407148838043,
0.013883620500564575,
-0.010507998988032341,
0.011549748480319977,
-0.0022123500239104033,
-0.028147853910923004,
0.003368228208273649,
0.026751354336738586,
-0.0437157116830349,
-0.004056283738464117,
-0.04032239317893982,
0.016384128481149673,
-0.011024916544556618,
0.0012434185482561588,
0.0030557631980627775,
-0.0036003708373755217,
-0.072495236992836,
0.04951580986380577,
-0.005471063777804375,
-0.0047323014587163925,
-0.009643257595598698,
0.017575249075889587,
0.03612648323178291,
-0.033978551626205444,
0.02412785030901432,
0.023633571341633797,
0.016201429069042206,
0.036679454147815704,
-0.03436854109168053,
-0.00912706833332777,
0.013831045478582382,
-0.007086209952831268,
0.004494135733693838,
0.016951730474829674,
0.0064558046869933605,
-0.02206164039671421,
0.052456025034189224,
0.02311546355485916,
-0.04669955000281334,
0.009366476908326149,
0.012692702002823353,
0.089292012155056,
0.021106276661157608,
0.025238478556275368,
-0.005220410414040089,
-0.050907865166664124,
0.01686807908117771,
-0.02355654165148735,
0.002644886262714863,
-0.001875694957561791,
-0.046195413917303085,
-0.06181994453072548,
-0.05669970065355301,
0.005674018058925867,
-0.0057017263025045395,
-0.014095932245254517,
-0.016791122034192085,
-0.00545845739543438,
-0.03219575062394142,
-0.04759850353002548,
-0.01807255484163761,
0.020942064002156258,
-0.07690735906362534,
-0.015112637542188168,
0.02321399375796318,
-0.007069786544889212,
0.023636920377612114,
-0.04165540263056755,
-0.006787554826587439,
-0.06273321062326431,
-0.002954079769551754,
0.019810572266578674,
0.00354342651553452,
-0.02301168255507946,
-0.03265245631337166,
-0.01591584086418152,
-0.004172209184616804,
0.012773404829204082,
-0.003102753311395645,
-0.023232853040099144,
-0.035500429570674896,
0.02091459184885025,
0.04223601892590523,
-0.0283084437251091,
-0.014106432907283306,
0.005789223592728376,
-0.06685768812894821,
0.05090756341814995,
-0.04494957998394966,
0.03205813094973564,
0.029051754623651505,
0.0003194542950950563,
-0.038622353225946426,
-0.018410108983516693,
0.023428335785865784,
0.010878924280405045,
0.0002591673983260989,
0.022631576284766197,
-0.01898392289876938,
-0.026266956701874733,
0.017130091786384583,
0.017916405573487282,
0.05303069204092026,
0.0450918972492218,
-0.007804966531693935,
-0.012831529602408409,
0.016305193305015564,
0.013554409146308899,
0.034512896090745926,
-0.03526272624731064,
-0.01635814644396305,
0.05889737978577614,
-0.022047076374292374,
-0.043819308280944824,
-0.04335581511259079,
-0.04598801210522652,
0.010447194799780846,
-0.015896527096629143,
0.015255359001457691,
-0.0607282780110836,
0.04584656283259392,
0.008737855590879917,
0.04797246307134628,
0.021156838163733482,
-0.018995391204953194,
0.03838244080543518,
-0.02968859113752842,
-0.008093445561826229,
-0.07855388522148132,
-0.010196896269917488,
0.049858320504426956,
-0.0303353238850832,
0.0292682982981205,
-0.00904296524822712,
-0.06094171479344368,
0.0356745682656765,
-0.004894087556749582,
-0.02904718928039074,
0.020738886669278145,
-0.01947135105729103,
-0.011445502750575542,
0.051182348281145096,
-0.0529596209526062,
0.005358443595468998,
-0.02593613788485527,
-0.048896174877882004,
-0.02583690732717514,
0.0019505019299685955,
0.04318288341164589,
-0.03440985828638077,
0.01981998048722744,
-0.012458479031920433,
0.017230231314897537,
-0.014762472361326218,
0.05433911085128784,
0.043544281274080276,
0.01262447889894247,
-0.03526059538125992,
0.060227785259485245,
0.037218332290649414,
0.014502613805234432,
-0.01509309932589531,
0.016043761745095253,
-0.028354739770293236,
-0.07529204338788986,
0.08362162858247757,
0.011149094440042973,
-0.010487222112715244,
-0.057430069893598557,
0.0860971212387085,
0.028436334803700447,
-0.03239450976252556,
-0.02587318606674671,
0.007325964979827404,
-0.05863751471042633,
0.01848515309393406,
-0.008610733784735203,
0.010578078217804432,
-0.011391772888600826,
0.06212177127599716,
0.0323740690946579,
0.0576152540743351,
0.07902206480503082,
-0.0025561749935150146,
-0.0532144270837307,
-0.004056686535477638,
0.06547276675701141,
0.05992444232106209,
0.07069139927625656,
0.02309054508805275,
0.07465680688619614,
-0.026567401364445686,
-0.043092429637908936,
0.003925975412130356,
0.025099027901887894,
0.01203399058431387,
-0.036111634224653244,
0.00983416847884655,
0.07291264832019806,
0.00199938309378922,
0.053464844822883606,
-0.019699465483427048,
0.0017343901563435793,
0.050810832530260086,
0.01967860758304596,
0.008538109250366688,
0.08268491178750992,
0.05412682890892029,
0.019350696355104446,
-0.02903010882437229,
-0.03158867731690407,
0.004189596977084875,
-0.018681127578020096,
-0.009262586012482643,
0.008760374039411545,
-0.0034315427765250206,
-0.004443005193024874,
-0.018693862482905388,
0.049813974648714066,
0.11649587750434875,
-0.017665497958660126,
-0.021886169910430908,
0.041647300124168396,
0.013251049444079399,
0.021005162969231606,
0.046152014285326004,
0.01932290755212307,
-0.03489483892917633,
-0.006727439817041159,
-0.02487008273601532,
0.0108760641887784,
-0.005298230797052383,
-0.03108784183859825,
0.014364328235387802,
-0.04663877189159393,
-0.043700601905584335,
0.030707301571965218,
0.03327763080596924,
-0.052416857331991196,
-0.05449917912483215,
-0.027968348935246468,
-0.05920593813061714,
-0.036532238125801086,
-0.03311802074313164,
0.026052001863718033,
-0.01951180025935173,
-0.01794644258916378,
0.003047579200938344,
-0.029043536633253098,
0.019780369475483894,
0.014117248356342316,
-0.05892977863550186,
-0.013654048554599285,
0.03924994543194771,
-0.01474907249212265,
-0.01415502279996872,
0.06663458794355392,
0.021440021693706512,
-0.0380597785115242,
0.004040166735649109,
0.027045970782637596,
-0.008619136177003384,
0.03943772241473198,
-0.013896562159061432,
-0.01345743052661419,
-0.08926167339086533,
-0.005665876902639866,
0.007453689351677895,
-0.03238609433174133,
-0.06743214279413223,
0.02961471676826477,
-0.04042786732316017,
0.026573924347758293,
0.07464515417814255,
0.02069328911602497,
0.08400024473667145,
-0.01185530237853527,
-0.010673753917217255,
-0.005196778569370508,
0.026757368817925453,
0.0358482226729393,
-0.025363685563206673,
0.062264181673526764,
0.030493667349219322,
-0.01566634699702263,
-0.03661491349339485,
0.014385632239282131,
-0.0010936763137578964,
-0.01466267928481102,
-0.04177369922399521,
-0.02371535636484623,
-0.005504424683749676,
-0.09693305194377899,
-0.01233557891100645,
0.02049427106976509,
-0.026084739714860916,
-0.039992064237594604,
0.013305405154824257,
-0.047855813056230545,
-0.03418433666229248,
-0.006015004124492407,
-0.032393306493759155,
-0.012685027904808521,
-0.032360974699258804,
-0.016635021194815636,
-0.06001397222280502,
0.001221091952174902,
-0.01428266428411007,
-0.019518375396728516,
-0.03880895674228668,
-0.04801113158464432,
0.019029496237635612,
0.04050690308213234,
0.052020397037267685,
-0.009226031601428986,
0.03977249935269356,
-0.027507977560162544
] |
https://github.com/MarinaMancoridis/PotemkinBenchmark
|
573 |
EncryptedLLM: Privacy-Preserving Large Language Model Inference via GPU-Accelerated Fully Homomorphic Encryption
|
https://openreview.net/forum?id=PGNff6H1TV
|
[
"Leo de Castro",
"Daniel Escudero",
"Adya Agrawal",
"Antigoni Polychroniadou",
"Manuela Veloso"
] |
Poster
|
As large language models (LLMs) become more powerful, the computation required to run these models is increasingly outsourced to a third-party cloud. While this saves clients' computation, it risks leaking the clients' LLM queries to the cloud provider. Fully homomorphic encryption (FHE) presents a natural solution to this problem: simply encrypt the query and evaluate the LLM homomorphically on the cloud machine. The result remains encrypted and can only be learned by the client who holds the secret key. In this work, we present a GPU-accelerated implementation of FHE and use this implementation to benchmark an encrypted GPT-2 forward pass, with runtimes over $200\times$ faster than the CPU baseline. We also present novel and extensive experimental analysis of approximations of LLM activation functions to maintain accuracy while achieving this performance.
|
Fully homomorphic encryption, encrypted inference, approximate activation functions
|
We develop a GPU-accelerated implementation of FHE and use this implementation to evaluate GPT-2.
| 12,971 | null |
[
-0.0005240426398813725,
0.004011237993836403,
-0.010858820751309395,
0.04708799719810486,
0.03016936592757702,
0.03574184700846672,
0.030581284314393997,
0.03177864849567413,
-0.02860870771110058,
0.010746696032583714,
-0.0032577072270214558,
-0.0009023035527206957,
-0.061718832701444626,
0.008385192602872849,
0.015310975722968578,
0.05364065244793892,
0.02688562124967575,
-0.03556995838880539,
0.03216731920838356,
0.035053495317697525,
0.0017521949484944344,
-0.010065306909382343,
0.02130071632564068,
0.0027338359504938126,
0.0012022109003737569,
0.004751617554575205,
0.003532209899276495,
0.02601291798055172,
-0.050148334354162216,
0.012778871692717075,
0.0558430440723896,
-0.004100681282579899,
0.009527814574539661,
-0.02563515305519104,
0.02779463492333889,
0.010726481676101685,
-0.0696527436375618,
0.003544302424415946,
0.012747769244015217,
0.03393672779202461,
-0.013370397500693798,
0.011967341415584087,
0.006117804441601038,
0.009577970020473003,
-0.0697050467133522,
-0.00888452585786581,
-0.10912998765707016,
0.05444767326116562,
-0.003442717483267188,
-0.040061499923467636,
-0.0836012214422226,
0.01308906078338623,
-0.01537421252578497,
0.026228828355669975,
0.0343770831823349,
0.04802458733320236,
0.03994542360305786,
-0.1059904471039772,
0.011019382625818253,
-0.005400879308581352,
-0.02619314007461071,
-0.0164763443171978,
0.020422888919711113,
-0.011617236770689487,
0.003097222652286291,
-0.025311889126896858,
0.005590100772678852,
0.028432128950953484,
-0.08614721149206161,
-0.06572891026735306,
0.0061606550589203835,
0.029517019167542458,
-0.019990868866443634,
-0.045759256929159164,
-0.01286916621029377,
-0.04039972648024559,
-0.031088590621948242,
0.03254634514451027,
0.05855805426836014,
0.010560949333012104,
-0.012499873526394367,
0.02886345051229,
0.01760995015501976,
0.06978264451026917,
-0.008175813592970371,
0.007521886378526688,
-0.048518531024456024,
-0.016916418448090553,
-0.05554474890232086,
0.04656800255179405,
-0.03675878420472145,
-0.025188688188791275,
-0.002995875431224704,
-0.016421550884842873,
0.007933621294796467,
0.0005659828893840313,
0.02548615261912346,
0.031093452125787735,
-0.0006298061925917864,
0.013200231827795506,
-0.004437990486621857,
-0.051076117902994156,
0.011027965694665909,
-0.02702118642628193,
-0.10896878689527512,
0.0027498039416968822,
-0.05878191813826561,
-0.02256842702627182,
0.013202650472521782,
-0.02279078960418701,
0.024784542620182037,
0.0011168186319991946,
-0.0006018184358254075,
-0.00007431535050272942,
-0.07051069289445877,
0.03387885168194771,
-0.007016706746071577,
0.0076063210144639015,
0.04414701834321022,
-0.0010192644549533725,
0.072187639772892,
0.05754637345671654,
-0.0017532998463138938,
0.07619167864322662,
0.02781582437455654,
0.026577746495604515,
0.02335432358086109,
0.04603523015975952,
0.0015669766580685973,
-0.05035059154033661,
0.008015851490199566,
0.0621417798101902,
0.0337161086499691,
0.023402336984872818,
0.01230631209909916,
-0.015972569584846497,
-0.03002864308655262,
0.04307015240192413,
0.043711837381124496,
-0.014507319778203964,
0.014332327991724014,
-0.032697875052690506,
0.060551322996616364,
-0.04154445603489876,
0.023994332179427147,
0.009616225026547909,
-0.0013706485042348504,
-0.01836450956761837,
-0.04689639061689377,
-0.017937853932380676,
0.022969042882323265,
0.027469096705317497,
-0.007070301566272974,
-0.06603891402482986,
0.03737291321158409,
0.04154476895928383,
0.003015184076502919,
-0.006048131734132767,
0.008187207393348217,
0.0012796483933925629,
-0.011422227136790752,
-0.004392595961689949,
-0.058193717151880264,
0.0011546275345608592,
-0.020070727914571762,
-0.04500926658511162,
0.036391060799360275,
0.030706768855452538,
-0.02896486409008503,
-0.007432149723172188,
-0.024022163823246956,
-0.01925191469490528,
0.06389989703893661,
-0.02765803411602974,
-0.01615723967552185,
0.020627671852707863,
0.04733140021562576,
-0.0119250463321805,
0.051672495901584625,
0.02164836972951889,
-0.07092542946338654,
0.005450771190226078,
0.035655427724123,
0.016499988734722137,
-0.02768799290060997,
-0.012693564407527447,
0.09810905158519745,
-0.03424996882677078,
0.01960909552872181,
0.010625398717820644,
-0.08097303658723831,
0.019109122455120087,
0.02438524179160595,
0.01820245571434498,
0.0799618735909462,
-0.01732889749109745,
0.04812003672122955,
0.014549453742802143,
0.014215819537639618,
0.04181936755776405,
0.06421586126089096,
-0.004889674484729767,
0.01867915503680706,
-0.035739801824092865,
-0.06993252038955688,
0.0018385665025562048,
0.03031264618039131,
-0.03691147267818451,
-0.061572980135679245,
-0.01416784804314375,
-0.03487987071275711,
-0.0034604230895638466,
0.019499942660331726,
-0.00912226177752018,
0.016290120780467987,
-0.022954633459448814,
-0.03975701704621315,
0.01946614868938923,
0.014179723337292671,
-0.022151334211230278,
0.061273008584976196,
0.022355951368808746,
-0.010851087048649788,
0.01855434477329254,
-0.030387667939066887,
0.1069827601313591,
0.04659123718738556,
-0.03428712487220764,
0.012499595992267132,
0.009179124608635902,
0.03363257274031639,
-0.056556668132543564,
0.017756082117557526,
-0.052147701382637024,
0.01943521574139595,
-0.019445812329649925,
0.014956886880099773,
-0.05515650287270546,
0.062057945877313614,
-0.019471419975161552,
-0.02174588106572628,
0.044426269829273224,
-0.0028122281655669212,
0.05550273880362511,
-0.006012704689055681,
-0.01401584967970848,
0.005873522721230984,
-0.04107939451932907,
0.014346109703183174,
-0.030825573951005936,
-0.026056449860334396,
-0.0035974830389022827,
0.0062592290341854095,
0.0006675458280369639,
0.016285330057144165,
-0.058874137699604034,
-0.012207879684865475,
0.016465608030557632,
0.04253717511892319,
0.04779792204499245,
-0.024737244471907616,
0.0012252929154783487,
-0.0059974947944283485,
-0.03673722594976425,
0.011054934933781624,
-0.09330181032419205,
-0.020964298397302628,
-0.01672835648059845,
0.04242570698261261,
-0.013219181448221207,
0.0369955375790596,
-0.02988659031689167,
-0.023778481408953667,
0.0038122686091810465,
0.029747065156698227,
-0.009136561304330826,
0.01807725802063942,
-0.017168737947940826,
-0.057473085820674896,
-0.030431672930717468,
0.0036649974063038826,
0.0515998899936676,
-0.014555965550243855,
0.007586195599287748,
-0.05377228930592537,
-0.02770659700036049,
0.015451640821993351,
-0.06893367320299149,
0.0014824101235717535,
-0.0004768232174683362,
0.034438975155353546,
0.001711159711703658,
-0.026792820543050766,
-0.005024345591664314,
0.02065930888056755,
0.0682937279343605,
0.015137922018766403,
0.010433165356516838,
-0.010503530502319336,
0.059275176376104355,
-0.01474851742386818,
0.00782205630093813,
-0.018958674743771553,
0.012444214895367622,
-0.04872630909085274,
-0.018668323755264282,
0.00804661400616169,
0.005576773546636105,
-0.26310819387435913,
0.0037218553479760885,
-0.0026778108440339565,
-0.021112222224473953,
0.006652416195720434,
0.050587017089128494,
0.007121994160115719,
-0.029270363971590996,
0.004863032139837742,
0.002602714579552412,
0.021211594343185425,
0.010614842176437378,
0.0011340334312990308,
0.00376711692661047,
0.058567557483911514,
0.0634920746088028,
-0.030928367748856544,
-0.05626891180872917,
0.034988559782505035,
0.019455131143331528,
-0.013133297674357891,
-0.053535714745521545,
0.004808672703802586,
0.006497444584965706,
0.005310183856636286,
0.017950300127267838,
-0.0570974163711071,
-0.006462568417191505,
-0.029866090044379234,
0.009983408264815807,
-0.027648882940411568,
-0.03428082913160324,
-0.02108563669025898,
0.042307499796152115,
-0.01952415518462658,
0.012091304175555706,
0.05059736594557762,
0.023634707555174828,
0.032985422760248184,
0.03231951594352722,
0.009884906001389027,
-0.025645872578024864,
-0.016253745183348656,
0.003729121293872595,
0.0734754204750061,
0.0027404073625802994,
-0.06308386474847794,
-0.01039210893213749,
-0.0006279884255491197,
0.02679774910211563,
-0.023096241056919098,
-0.06345975399017334,
-0.03342951834201813,
0.016908740624785423,
0.012747656553983688,
0.018472425639629364,
-0.043484922498464584,
-0.006812910549342632,
-0.009797748178243637,
0.042016685009002686,
0.01686977781355381,
-0.05017121881246567,
-0.027263551950454712,
-0.040900904685258865,
-0.0022262558341026306,
-0.030678359791636467,
-0.05162784084677696,
-0.06463076174259186,
0.05645669251680374,
0.0671737790107727,
-0.008683077059686184,
0.022815559059381485,
-0.006670589093118906,
-0.07843077927827835,
-0.027054456993937492,
0.0035447708796709776,
0.01544259488582611,
-0.035112250596284866,
0.03220994025468826,
0.03595934063196182,
-0.05349221080541611,
-0.04090968891978264,
-0.0015217179898172617,
-0.00009216279431711882,
0.048609815537929535,
-0.031830862164497375,
-0.013331343419849873,
-0.04376712068915367,
-0.0005683687049895525,
-0.04887194558978081,
0.03583480045199394,
0.005140874534845352,
0.036339305341243744,
0.005483564455062151,
0.051204532384872437,
0.02687939628958702,
0.005280408542603254,
0.042268428951501846,
0.00015154192806221545,
0.017178667709231377,
0.017969602718949318,
-0.06660733371973038,
-0.014146529138088226,
-0.03913121297955513,
-0.010778707452118397,
0.02363586612045765,
-0.04278303682804108,
-0.039561159908771515,
0.035558734089136124,
-0.00857818964868784,
-0.044278666377067566,
-0.02065148949623108,
0.024472124874591827,
-0.022248007357120514,
-0.023313408717513084,
-0.017481332644820213,
0.03728841617703438,
0.0456177219748497,
0.03174836188554764,
-0.029207635670900345,
-0.03822227194905281,
0.053218185901641846,
-0.011814768426120281,
-0.012750369496643543,
-0.021320557221770287,
0.0076086861081421375,
0.0036707266699522734,
-0.0022551240399479866,
-0.02559592016041279,
-0.028511282056570053,
-0.0025813193060457706,
0.02803543023765087,
0.018741345033049583,
-0.014674186706542969,
0.08326318860054016,
0.02276536263525486,
0.016016265377402306,
-0.01330756489187479,
-0.005151204764842987,
0.01690010167658329,
0.06279518455266953,
-0.022360537201166153,
0.04170067980885506,
0.04512815177440643,
0.043379370123147964,
0.01417327206581831,
0.031467366963624954,
-0.00952131487429142,
-0.009332613088190556,
0.02184331975877285,
0.013005850836634636,
-0.06675710529088974,
0.04424385726451874,
-0.034332189708948135,
0.020694183185696602,
-0.009439419023692608,
0.033685725182294846,
0.014265073463320732,
-0.02743200771510601,
-0.08439993858337402,
0.033440954983234406,
0.013224157504737377,
-0.014638993889093399,
-0.0005842212121933699,
0.018100792542099953,
0.05961976200342178,
-0.04099144786596298,
0.007164617069065571,
0.007223847787827253,
0.017962483689188957,
0.011162793263792992,
-0.01403710339218378,
-0.039270784705877304,
-0.009444654919207096,
0.00035927005228586495,
0.011596634052693844,
0.011362824589014053,
-0.01893562264740467,
-0.022026626393198967,
0.03290044888854027,
0.002273614751175046,
-0.027936512604355812,
-0.020244775339961052,
0.029442884027957916,
0.10146606713533401,
0.013101082295179367,
0.014925533905625343,
0.0007499273051507771,
-0.01028952095657587,
0.06541182100772858,
-0.018411759287118912,
0.03464249148964882,
-0.019373657181859016,
-0.024540403857827187,
-0.024365710094571114,
-0.062483228743076324,
0.0021162850316613913,
0.012124932371079922,
0.012430471368134022,
-0.03342433273792267,
0.019693033769726753,
-0.027502847835421562,
-0.031222380697727203,
-0.0009947138605639338,
0.021620552986860275,
-0.07291235774755478,
0.019598135724663734,
0.015790564939379692,
-0.004029317758977413,
0.04238744080066681,
-0.005028173327445984,
-0.024848315864801407,
-0.0579528734087944,
-0.011510984040796757,
0.03407951071858406,
0.00047879404155537486,
-0.0360054112970829,
0.02374008670449257,
-0.023530002683401108,
0.0006383098661899567,
0.0004920102073810995,
0.0027701419312506914,
0.007210817653685808,
-0.016657330095767975,
-0.020663615316152573,
0.006524173077195883,
-0.04000821337103844,
-0.018094681203365326,
0.0038723370525985956,
-0.013880821876227856,
0.04049595817923546,
-0.08042170852422714,
0.023609068244695663,
0.031593531370162964,
-0.014725451357662678,
0.03539326414465904,
-0.0704004317522049,
0.013611478731036186,
-0.059877727180719376,
0.011422481387853622,
0.00796679686754942,
-0.015526573173701763,
-0.03248758986592293,
-0.01347825676202774,
-0.01994776912033558,
0.04323139041662216,
0.02016729675233364,
0.02255430817604065,
0.0024800593964755535,
0.004291762597858906,
0.00561502855271101,
0.02509434148669243,
-0.013329122215509415,
-0.012823973782360554,
0.0604778528213501,
-0.023799138143658638,
0.005204276647418737,
-0.05304820090532303,
-0.03443712368607521,
-0.02110329456627369,
-0.044746074825525284,
-0.004871012177318335,
-0.02978529967367649,
0.01812421903014183,
0.02381225861608982,
0.059413835406303406,
0.020101243630051613,
-0.027729380875825882,
0.06231563165783882,
-0.01747305691242218,
-0.005259308032691479,
-0.060465727001428604,
-0.011652499437332153,
0.019787179306149483,
-0.03951025381684303,
0.02981528826057911,
0.03187989816069603,
-0.05459950119256973,
0.02137329801917076,
-0.021319566294550896,
-0.06189669668674469,
0.03500133380293846,
-0.006483856588602066,
-0.011582800187170506,
0.0045601134188473225,
-0.033652715384960175,
-0.017282474786043167,
-0.012629062868654728,
-0.02936035580933094,
-0.02070433646440506,
0.0109938969835639,
0.015198100358247757,
-0.015523637644946575,
0.012734467163681984,
-0.016828017309308052,
-0.00019049453840125352,
-0.017480963841080666,
0.045436397194862366,
0.021579423919320107,
0.04967959597706795,
-0.02001230977475643,
0.06467080116271973,
0.053156714886426926,
0.012584751471877098,
0.016798557713627815,
-0.004469850566238165,
-0.039366792887449265,
-0.06456772238016129,
0.06493432819843292,
-0.017221949994564056,
-0.023871606215834618,
-0.03835335746407509,
0.07484940439462662,
0.032598454505205154,
-0.033626165241003036,
-0.05091157928109169,
0.04333896189928055,
-0.04222257807850838,
0.004303985740989447,
-0.020138690248131752,
0.009236454963684082,
0.009191743098199368,
0.08002980053424835,
0.019197914749383926,
0.031266771256923676,
0.07453043013811111,
0.012470779940485954,
-0.004650075454264879,
0.034572210162878036,
0.060236699879169464,
0.06137818098068237,
0.03145588934421539,
-0.01876944489777088,
0.06064615026116371,
-0.01892952248454094,
-0.05435950309038162,
-0.009156722575426102,
0.019994644448161125,
-0.02891126275062561,
-0.027239326387643814,
0.06565382331609726,
0.07987457513809204,
-0.028627891093492508,
0.061826884746551514,
-0.04582567885518074,
0.02500859647989273,
0.04661598056554794,
0.022103380411863327,
0.013573004864156246,
0.0788964107632637,
0.028264591470360756,
-0.0022821365855634212,
-0.056786566972732544,
-0.037673674523830414,
0.01250254362821579,
0.004338345490396023,
0.018064089119434357,
-0.005403557326644659,
-0.018555661663413048,
0.005766823422163725,
-0.016190305352211,
0.029195664450526237,
0.10811619460582733,
-0.012959398329257965,
-0.026656288653612137,
0.0012905257754027843,
-0.0065025207586586475,
0.019647544249892235,
0.03771306574344635,
-0.020010236650705338,
-0.03031737543642521,
-0.011786027811467648,
-0.047053996473550797,
-0.019263245165348053,
-0.0031919097527861595,
-0.03297127038240433,
0.03768543526530266,
-0.008210008963942528,
-0.0563974529504776,
0.0023834172170609236,
0.03543475642800331,
-0.08873003721237183,
-0.03647160530090332,
-0.061659522354602814,
-0.04422087222337723,
-0.03707483410835266,
-0.06846088916063309,
-0.012075063772499561,
0.011619971133768559,
-0.04214293882250786,
0.029915153980255127,
-0.03646303713321686,
0.013798670843243599,
0.008453557267785072,
-0.06522785872220993,
0.0176857877522707,
0.048215486109256744,
0.004991918336600065,
-0.01613970845937729,
0.02733701840043068,
0.03369534760713577,
-0.021625326946377754,
-0.0174969844520092,
0.0050536347553133965,
-0.01164921186864376,
0.005193744786083698,
-0.006782317068427801,
0.004087509587407112,
-0.09623391181230545,
0.013960218988358974,
0.020120743662118912,
-0.029178256168961525,
-0.08019544184207916,
-0.004138432443141937,
-0.009422720409929752,
0.026142917573451996,
0.048450615257024765,
0.023225929588079453,
0.036209698766469955,
-0.013495908118784428,
-0.05631942301988602,
0.010995892807841301,
0.00030445060110650957,
0.06223445385694504,
0.01022792886942625,
0.0714096873998642,
0.06053406745195389,
-0.03723541274666786,
-0.028181234374642372,
0.021954618394374847,
-0.016243604943156242,
-0.014019007794559002,
-0.054088421165943146,
-0.003931212238967419,
0.0011360504431650043,
-0.0606316402554512,
0.023336049169301987,
0.01931348629295826,
-0.029362307861447334,
-0.017857488244771957,
0.011316103860735893,
-0.0037572369910776615,
-0.025909967720508575,
-0.01463409699499607,
-0.02304084785282612,
-0.017805393785238266,
-0.039194848388433456,
-0.029234472662210464,
-0.080223947763443,
0.02734619379043579,
-0.02187672257423401,
-0.002355110365897417,
0.01997734233736992,
-0.0636928454041481,
0.01011880673468113,
0.01725059375166893,
0.06744790077209473,
-0.025093430653214455,
0.0015418768161907792,
0.022708913311362267
] | null |
574 |
Active Learning for Efficient Discovery of Optimal Combinatorial Perturbations
|
https://openreview.net/forum?id=fGbGF0kl5L
|
[
"Jason Qin",
"Hans-Hermann Wessels",
"Carlos Fernandez-Granda",
"Yuhan Hao"
] |
Poster
|
Combinatorial CRISPR screening enables large-scale identification of synergistic gene pairs for combination therapies, but exhaustive experimentation is infeasible. We introduce NAIAD, an active learning framework that efficiently discovers optimal gene pairs by leveraging single-gene perturbation effects and adaptive gene embeddings that scale with the training data size, mitigating overfitting in small-sample learning while capturing complex gene interactions as more data is collected. Evaluated on four CRISPR datasets with over 350,000 interactions, NAIAD trained on small datasets outperforms existing models by up to 40\%. Its recommendation system prioritizes gene pairs with maximum predicted effects, accelerating discovery with fewer experiments. We also extend NAIAD to optimal drug combination identification among 2,000 candidates. Overall, NAIAD enhances combinatorial perturbation design and drives advances in genomics research and therapeutic development in combination therapy. Our code is publicly available at: https://github.com/NeptuneBio/NAIAD
|
active learning, AI and Lab Loop, combination therapy, combinatorial perturbation
| null | 12,953 |
2411.12010
|
[
0.012771292589604855,
-0.039294809103012085,
-0.043549373745918274,
0.02217450737953186,
0.0216666366904974,
0.020268185064196587,
0.008062648586928844,
0.007301424629986286,
0.0030375134665519,
-0.044038835912942886,
0.020505070686340332,
0.02577606402337551,
-0.06644129008054733,
0.0014853272587060928,
0.03818373382091522,
0.02406097762286663,
0.02118123136460781,
-0.005634361878037453,
0.021473847329616547,
0.03046354092657566,
-0.009340924210846424,
-0.016393054276704788,
0.02590112015604973,
0.044278938323259354,
0.02658851630985737,
-0.006563335657119751,
0.0017035751370713115,
-0.017939699813723564,
-0.026280477643013,
0.010974506847560406,
0.03211522474884987,
0.010882668197154999,
0.011489084921777248,
-0.02910781279206276,
0.020736217498779297,
-0.0003168426046613604,
-0.03635046258568764,
0.0010921634966507554,
-0.006199803669005632,
0.014668704941868782,
-0.07913409918546677,
0.003388871205970645,
0.0013773654354736209,
0.015332899987697601,
-0.032558128237724304,
0.03235494717955589,
-0.10264416038990021,
0.05672513693571091,
0.030093790963292122,
-0.035542890429496765,
-0.08028295636177063,
0.008338994346559048,
0.04699161648750305,
-0.028016213327646255,
0.01156798005104065,
0.057075150310993195,
0.0629807561635971,
-0.03597049415111542,
-0.002232484519481659,
-0.05880872905254364,
-0.037842873483896255,
0.004453306086361408,
0.03779388219118118,
0.019144564867019653,
0.025656085461378098,
0.0036109439097344875,
0.02514469623565674,
0.03127795830368996,
-0.03696587309241295,
-0.006731034256517887,
-0.01733623817563057,
-0.02270238660275936,
-0.028062038123607635,
0.005253644660115242,
0.03938444331288338,
-0.06679671257734299,
-0.02292569726705551,
0.006957250647246838,
0.061014216393232346,
0.007701698690652847,
0.007398633286356926,
0.031166356056928635,
-0.034250952303409576,
0.04984934255480766,
-0.0326705239713192,
-0.011447722092270851,
-0.028754575178027153,
-0.027410410344600677,
-0.06764140725135803,
0.013141333125531673,
-0.029026860371232033,
-0.043646734207868576,
0.05522385612130165,
0.00820277351886034,
0.030454976484179497,
0.019525514915585518,
0.0145871015265584,
0.009574062190949917,
0.004350446164608002,
0.011396714486181736,
-0.03893546015024185,
-0.031154243275523186,
0.007714552339166403,
-0.05268846079707146,
-0.13603796064853668,
-0.017503421753644943,
-0.01843949221074581,
-0.029861103743314743,
-0.004353815224021673,
0.03495624288916588,
-0.018633931875228882,
-0.005188080947846174,
-0.011822418309748173,
-0.009357857517898083,
-0.11233451217412949,
0.0781279057264328,
0.00987989827990532,
0.019308660179376602,
0.016244439408183098,
-0.02053382433950901,
0.019127000123262405,
0.05472669377923012,
0.00409067003056407,
0.07553977519273758,
0.01238137949258089,
0.008715866133570671,
0.00989398080855608,
0.009375969879329205,
-0.015728823840618134,
-0.0416477732360363,
0.030265595763921738,
0.053725797683000565,
-0.019041189923882484,
-0.034874625504016876,
0.02618904784321785,
-0.008866662159562111,
-0.007195065729320049,
0.00914440955966711,
0.046714335680007935,
-0.014290333725512028,
-0.014766810461878777,
-0.033026617020368576,
0.01049297396093607,
-0.030612342059612274,
0.060494162142276764,
-0.019837219268083572,
-0.000060916765505680814,
-0.03285812959074974,
-0.013702060095965862,
0.004754680208861828,
0.011654416099190712,
0.003949280362576246,
0.008947723545134068,
-0.05093982070684433,
0.0524628683924675,
0.07237701863050461,
0.024714095517992973,
-0.009543197229504585,
-0.01678789220750332,
0.030906040221452713,
0.02929350733757019,
-0.005041592288762331,
-0.026196952909231186,
-0.016916144639253616,
-0.007896887138485909,
-0.04090600833296776,
0.07593291252851486,
0.035588279366493225,
-0.05568895488977432,
-0.008782364428043365,
-0.0586104691028595,
-0.010113067924976349,
0.065149687230587,
-0.04182681441307068,
0.014716739766299725,
-0.024893134832382202,
0.07912465929985046,
-0.027895553037524223,
0.03772993013262749,
0.006010951939970255,
-0.08863398432731628,
0.03577607870101929,
0.011944619938731194,
0.007642265409231186,
0.003553329734131694,
-0.021356763318181038,
0.0667852833867073,
0.011970438063144684,
0.05842661112546921,
0.057172372937202454,
-0.06277801841497421,
-0.06273198872804642,
0.009730554185807705,
-0.005617082118988037,
0.043430034071207047,
-0.004102388396859169,
0.013560529798269272,
0.0533568374812603,
0.00847888644784689,
0.027708102017641068,
-0.006596411112695932,
-0.0074266474694013596,
0.020422782748937607,
-0.04105397313833237,
-0.06749507039785385,
-0.014534220099449158,
0.00677568931132555,
-0.04412499815225601,
-0.04392636939883232,
0.018368273973464966,
-0.0002638138539623469,
-0.018700074404478073,
0.025320034474134445,
-0.013985119760036469,
0.06532870978116989,
-0.0261464212089777,
-0.0002799945941660553,
0.003923657815903425,
-0.023924758657813072,
-0.03285857290029526,
0.025312013924121857,
0.021388759836554527,
-0.024655619636178017,
0.004929161164909601,
-0.013668120838701725,
0.0943172425031662,
0.06211550906300545,
-0.032449617981910706,
0.0118789691478014,
0.04745113477110863,
0.030383234843611717,
0.005611384753137827,
0.0016173813492059708,
0.009144434705376625,
0.012594789266586304,
-0.008932291530072689,
-0.012995841912925243,
-0.043649766594171524,
0.04990747570991516,
-0.0493428036570549,
0.001371257589198649,
0.07029326260089874,
-0.060580115765333176,
0.03945713862776756,
0.028222644701600075,
-0.007232832256704569,
0.019658712670207024,
0.004110445734113455,
-0.0358341820538044,
-0.014896432869136333,
0.011746088974177837,
-0.00033451852505095303,
0.013945560902357101,
0.010548326186835766,
0.004252696875482798,
-0.063969187438488,
-0.008756044320762157,
-0.0032019219361245632,
0.09104115515947342,
0.038772713392972946,
-0.028234610334038734,
0.02052205242216587,
-0.003128603333607316,
-0.05628589913249016,
-0.02716212347149849,
-0.10347403585910797,
-0.02663346379995346,
-0.020525220781564713,
0.0227102879434824,
-0.0017128062900155783,
0.06782281398773193,
0.019030500203371048,
-0.023140858858823776,
-0.05996584892272949,
-0.020314879715442657,
0.024307411164045334,
0.021231461316347122,
0.026934104040265083,
-0.04791375249624252,
-0.021526416763663292,
0.004061848856508732,
0.05065145343542099,
-0.020106013864278793,
-0.03323883190751076,
-0.03425491601228714,
-0.041388072073459625,
-0.015799809247255325,
-0.0437261126935482,
-0.01660894602537155,
0.03412042558193207,
0.00015409497427754104,
0.024625953286886215,
-0.06522180140018463,
0.00017084414139389992,
0.07754020392894745,
-0.020361432805657387,
0.013429741375148296,
0.027155017480254173,
-0.045890334993600845,
0.00870696920901537,
0.020511820912361145,
0.025238120928406715,
-0.018255986273288727,
-0.02057831361889839,
-0.004732002038508654,
0.034111153334379196,
0.037951864302158356,
-0.006014710292220116,
-0.28066468238830566,
-0.027539009228348732,
0.023863032460212708,
0.008945455774664879,
0.07621891796588898,
-0.01452265027910471,
0.026053130626678467,
-0.032882194966077805,
-0.013166919350624084,
-0.003287632018327713,
0.012489903718233109,
0.022847339510917664,
0.02022622525691986,
0.051523905247449875,
0.04210777208209038,
0.04721960425376892,
-0.00822051428258419,
-0.037479300051927567,
0.027262354269623756,
0.029811948537826538,
0.033471886068582535,
-0.03634750097990036,
-0.024758948013186455,
0.04020554944872856,
-0.028065389022231102,
0.0032174575608223677,
-0.07810204476118088,
-0.004187530372291803,
-0.04886695742607117,
-0.003276955569162965,
-0.03289628401398659,
-0.005967328324913979,
-0.026416964828968048,
0.0038237387780100107,
0.04501527175307274,
0.01837872713804245,
0.0777900293469429,
-0.033133018761873245,
0.01095056626945734,
-0.0068504698574543,
-0.009466204792261124,
-0.04173101857304573,
-0.01399917807430029,
-0.004247379954904318,
0.05597676336765289,
0.00706293573603034,
-0.01092652790248394,
0.019342893734574318,
-0.019388685002923012,
0.03453530743718147,
0.02698533423244953,
-0.052188411355018616,
-0.017962507903575897,
0.03159978613257408,
0.025585805997252464,
-0.030660215765237808,
0.015186097472906113,
0.004237805958837271,
-0.055405888706445694,
0.001047133351676166,
-0.011202676221728325,
-0.04541749134659767,
-0.019036948680877686,
-0.017250265926122665,
-0.02063816785812378,
-0.06090317294001579,
-0.06901386380195618,
-0.08144978433847427,
0.031123559921979904,
0.043061841279268265,
-0.010398237966001034,
0.031244119629263878,
0.01442442275583744,
-0.08171480894088745,
0.0176472757011652,
-0.007300355471670628,
-0.04189346358180046,
0.002682521240785718,
-0.0019532456062734127,
-0.006164552178233862,
-0.03016536869108677,
-0.009517149068415165,
0.0013570388546213508,
0.03094402141869068,
0.03982585296034813,
-0.03613196313381195,
0.0408044159412384,
-0.02275879867374897,
-0.005163230467587709,
-0.01911190152168274,
0.0286110732704401,
0.00170422182418406,
0.030865173786878586,
-0.02539633959531784,
0.013365502469241619,
0.023433439433574677,
0.012672754935920238,
0.07637827098369598,
0.059446558356285095,
0.019638530910015106,
0.0625963881611824,
-0.07990420609712601,
0.001175827463157475,
-0.04238373041152954,
-0.04233188182115555,
-0.006525123957544565,
-0.057907674461603165,
0.008769623003900051,
0.061140596866607666,
0.0013121610973030329,
-0.023064501583576202,
-0.010553926229476929,
0.02580149844288826,
-0.025364750996232033,
0.024735981598496437,
-0.007891155779361725,
0.022758333012461662,
0.04911266639828682,
0.046605903655290604,
0.010621972382068634,
-0.06701254099607468,
0.05719420686364174,
-0.03075200878083706,
-0.012843750417232513,
0.007953938096761703,
-0.033108118921518326,
-0.016237245872616768,
-0.00450058514252305,
-0.018954958766698837,
-0.01229836605489254,
0.010644800961017609,
0.018635252490639687,
-0.023412279784679413,
-0.005179253872483969,
0.010362100787460804,
-0.008774864487349987,
-0.061373695731163025,
-0.00922771543264389,
0.007428830023854971,
-0.005395956803113222,
0.0017999013653025031,
-0.011105111800134182,
0.025930318981409073,
0.011177566833794117,
0.030453389510512352,
0.03430335596203804,
0.03816288709640503,
0.0422811396420002,
0.02266775630414486,
0.015442602336406708,
-0.024223776534199715,
-0.02744363248348236,
-0.021537702530622482,
-0.019064847379922867,
0.03819836303591728,
-0.027992170304059982,
0.04192005470395088,
0.024679087102413177,
0.031910717487335205,
-0.06859201192855835,
-0.003281247103586793,
-0.025129571557044983,
0.0016679888358339667,
-0.023656152188777924,
0.014361423440277576,
0.07111817598342896,
-0.018284931778907776,
-0.005510071292519569,
-0.013247216120362282,
0.007015452720224857,
0.01532991137355566,
0.010411425493657589,
-0.05625537782907486,
0.020367877557873726,
-0.021122274920344353,
0.006014842074364424,
0.0012561841867864132,
-0.025151478126645088,
-0.034990400075912476,
0.017921946942806244,
-0.026781601831316948,
-0.05485920608043671,
-0.0014979835832491517,
0.00006920778832864016,
0.08715347945690155,
-0.009861106052994728,
-0.010865520685911179,
-0.029812810942530632,
-0.021093174815177917,
0.010640800930559635,
-0.0469762347638607,
0.01080244965851307,
-0.02220751717686653,
-0.04949682950973511,
-0.033786434680223465,
-0.05606263875961304,
-0.0009220232022926211,
0.024108650162816048,
-0.01659134030342102,
0.004201231058686972,
-0.0027756360359489918,
0.0139559181407094,
-0.038881704211235046,
0.00026251102099195123,
0.055281877517700195,
-0.0712975338101387,
0.003643404459580779,
0.02445954829454422,
-0.014338013716042042,
0.011176226660609245,
-0.023273777216672897,
-0.04658253863453865,
-0.02935897372663021,
0.0030202344059944153,
-0.01669793203473091,
0.0032796477898955345,
-0.046251460909843445,
0.000006669487902399851,
-0.0003965277865063399,
-0.020239103585481644,
0.014248637482523918,
0.0003720433742273599,
0.03921535238623619,
-0.050421442836523056,
-0.013665400445461273,
0.06633710861206055,
-0.02606472373008728,
0.0035656248219311237,
0.006624917034059763,
0.01529768668115139,
0.015500379726290703,
-0.047564662992954254,
0.03493201732635498,
0.033775992691516876,
-0.004519714042544365,
-0.002128452993929386,
-0.04033398628234863,
0.02161811664700508,
-0.0011780469212681055,
0.017118189483880997,
0.0013780301669612527,
0.005676386412233114,
-0.06229349598288536,
0.004838904831558466,
-0.023774437606334686,
0.00286704208701849,
-0.014530270360410213,
0.026811396703124046,
0.023128928616642952,
0.025991404429078102,
0.0033423248678445816,
0.027934949845075607,
-0.029713645577430725,
0.014307543635368347,
0.03256583213806152,
-0.007615705952048302,
-0.03154953941702843,
-0.05154692754149437,
-0.035405103117227554,
0.00583207281306386,
-0.020644791424274445,
0.038148168474435806,
-0.013149475678801537,
0.069955013692379,
0.03771938011050224,
0.009309341199696064,
-0.009358064271509647,
-0.031463492661714554,
0.04231387749314308,
-0.02298889309167862,
0.003078239969909191,
-0.04702717810869217,
0.00485775014385581,
0.08752506971359253,
-0.039042823016643524,
-0.0068855187855660915,
0.013924735598266125,
0.0008045608410611749,
0.028075728565454483,
-0.03599067032337189,
-0.055013690143823624,
0.028507228940725327,
-0.036398760974407196,
0.009994915686547756,
0.021479781717061996,
-0.02264401875436306,
-0.01706390455365181,
0.018503408879041672,
-0.031162336468696594,
-0.009484980255365372,
0.022772664204239845,
0.04843149334192276,
-0.011625975370407104,
-0.007313228212296963,
-0.014393898658454418,
0.01883591152727604,
0.04909072071313858,
0.020049385726451874,
-0.007091716397553682,
0.01361096277832985,
-0.045816224068403244,
0.06744609773159027,
0.03783617541193962,
0.020203251391649246,
-0.021360931918025017,
0.01913556270301342,
0.010837597772479057,
-0.012919997796416283,
-0.020129574462771416,
0.02125576138496399,
-0.017060689628124237,
-0.03438682481646538,
0.08985433727502823,
0.025292951613664627,
-0.052975334227085114,
-0.01768345572054386,
0.031993865966796875,
-0.032457295805215836,
0.013499426655471325,
-0.021459562703967094,
0.011590907350182533,
-0.007971497252583504,
0.060254018753767014,
-0.021052593365311623,
-0.003953412640839815,
0.05605847015976906,
0.026656219735741615,
0.011492648161947727,
-0.008213409222662449,
0.08896183967590332,
0.059385497123003006,
0.024027936160564423,
0.026996547356247902,
0.07416562736034393,
-0.02988610975444317,
-0.040503378957509995,
0.019556527957320213,
-0.02077522501349449,
-0.028347767889499664,
-0.004231033846735954,
0.0926569253206253,
0.055853623896837234,
0.015710510313510895,
0.03787585347890854,
-0.045082900673151016,
0.0006704248953610659,
0.013799312524497509,
0.006694138050079346,
0.011589213274419308,
0.03507142886519432,
0.04893096908926964,
0.032222650945186615,
-0.05643033608794212,
-0.036817364394664764,
-0.01061550434678793,
-0.008722036145627499,
0.0311626885086298,
-0.022601023316383362,
-0.020036814734339714,
-0.006605927366763353,
-0.024595726281404495,
0.00016267293540295213,
0.08193361759185791,
0.0010002973722293973,
-0.04795094579458237,
0.02011735551059246,
0.06452126801013947,
0.016578326001763344,
0.04355839267373085,
0.0034227375872433186,
0.014677813276648521,
-0.007904352620244026,
-0.015071946196258068,
-0.01627478003501892,
0.037455156445503235,
0.013729496859014034,
0.008005209267139435,
-0.0010606792056933045,
-0.016740620136260986,
0.008588901720941067,
-0.009310794062912464,
-0.05157750844955444,
-0.039566244930028915,
-0.014558987691998482,
-0.07175136357545853,
-0.056889213621616364,
-0.04975835978984833,
-0.012269384227693081,
0.006232025101780891,
-0.009654385037720203,
0.01802986115217209,
-0.009130949154496193,
0.041172321885824203,
0.031347040086984634,
-0.07467172294855118,
-0.02504168264567852,
0.044266339391469955,
-0.004376755561679602,
-0.0033475877717137337,
0.017382049933075905,
0.016261514276266098,
0.026391886174678802,
-0.0449332669377327,
0.04793838784098625,
0.010147185064852238,
0.04584772512316704,
0.02189284935593605,
-0.013032485730946064,
-0.08697199076414108,
0.03805283457040787,
0.019486328586935997,
-0.020295049995183945,
-0.08769211918115616,
0.029717376455664635,
-0.027856282889842987,
0.03932498022913933,
0.062155064195394516,
0.014047139324247837,
-0.026885202154517174,
-0.055061157792806625,
0.03407915681600571,
0.017542744055390358,
-0.017335884273052216,
0.03280127793550491,
-0.05463148653507233,
0.04977041110396385,
0.03338079899549484,
-0.018406854942440987,
-0.01946883462369442,
0.02253912389278412,
-0.019640488550066948,
0.006055423058569431,
-0.022977245971560478,
-0.03151202201843262,
-0.03989512100815773,
-0.1160707175731659,
-0.02088809572160244,
0.05591714754700661,
-0.04236038401722908,
-0.03750034049153328,
0.022964544594287872,
0.022402610629796982,
-0.006705884821712971,
-0.007339847274124622,
0.0069168261252343655,
-0.013186091557145119,
-0.032605066895484924,
-0.02056869864463806,
-0.06293774396181107,
-0.028188906610012054,
-0.03555223345756531,
0.005855030380189419,
-0.04300687462091446,
-0.020255792886018753,
0.00036547210766002536,
0.004861657973378897,
0.055201925337314606,
0.019804254174232483,
0.009111648425459862,
0.013503552414476871
] |
https://github.com/neptunebio/naiad
|
575 |
Heterogeneous Treatment Effect in Time-to-Event Outcomes: Harnessing Censored Data with Recursively Imputed Trees
|
https://openreview.net/forum?id=OrkMLgWoiG
|
[
"Tomer Meir",
"Uri Shalit",
"Malka Gorfine"
] |
Poster
|
Tailoring treatments to individual needs is a central goal in fields such as medicine. A key step toward this goal is estimating Heterogeneous Treatment Effects (HTE)—the way treatments impact different subgroups. While crucial, HTE estimation is challenging with survival data, where time until an event (e.g., death) is key. Existing methods often assume complete observation, an assumption violated in survival data due to right-censoring, leading to bias and inefficiency. Cui et al. (2023) proposed a doubly-robust method for HTE estimation in survival data under no hidden confounders, combining a causal survival forest with an augmented inverse-censoring weighting estimator. However, we find it struggles under heavy censoring, which is common in rare-outcome problems such as Amyotrophic lateral sclerosis (ALS). Moreover, most current methods cannot handle instrumental variables, which are a crucial tool in the causal inference arsenal. We introduce Multiple Imputation for Survival Treatment Response (MISTR), a novel, general, and non-parametric method for estimating HTE in survival data. MISTR uses recursively imputed survival trees to handle censoring without directly modeling the censoring mechanism. Through extensive simulations and analysis of two real-world datasets—the AIDS Clinical Trials Group Protocol 175 and the Illinois unemployment dataset we show that MISTR outperforms prior methods under heavy censoring in the no-hidden-confounders setting, and extends to the instrumental variable setting. To our knowledge, MISTR is the first non-parametric approach for HTE estimation with unobserved confounders via instrumental variables.
|
Heterogeneous treatment effect, Causal inference, Time to event data, Survival analysis, Instrumental variable, Rare disease, Multiple imputations
|
A non-parametric method for estimating heterogeneous treatment effects in survival data, overcoming prior limitations in heavy censoring and confounding. We demonstrate its superiority in both no-hidden-confounders and instrumental variable settings.
| 12,947 |
2502.01575
|
[
0.01909787394106388,
-0.02114582248032093,
-0.052266187965869904,
0.03706534579396248,
0.016727376729249954,
0.047347795218229294,
0.06746694445610046,
-0.0020347165409475565,
-0.023691289126873016,
-0.040737807750701904,
0.006116561125963926,
-0.02182083949446678,
-0.04283812642097473,
0.010806847363710403,
-0.005273573566228151,
0.06911288946866989,
0.06040777638554573,
-0.05215945839881897,
-0.017551064491271973,
0.008888998068869114,
-0.007111593149602413,
-0.016904782503843307,
0.038229476660490036,
0.05831896886229515,
0.036502305418252945,
-0.021141275763511658,
0.018351439386606216,
-0.033718835562467575,
-0.05436996743083,
-0.002273375168442726,
0.026193417608737946,
0.024016698822379112,
-0.0108984699472785,
-0.06004587188363075,
0.010280449874699116,
-0.007437596563249826,
-0.028236035257577896,
0.004092210438102484,
0.008209818042814732,
-0.024910764768719673,
-0.05929948017001152,
-0.008217488415539265,
-0.03435531258583069,
0.031014664098620415,
-0.008322627283632755,
0.039822787046432495,
-0.054384730756282806,
0.038142941892147064,
0.004046538844704628,
0.006294433493167162,
-0.0701712891459465,
0.006026686169207096,
0.04314720258116722,
-0.03227684274315834,
0.0053714062087237835,
0.05566402152180672,
0.049572110176086426,
-0.0634532943367958,
-0.027637436985969543,
-0.042532533407211304,
-0.033273618668317795,
0.005784202367067337,
0.0267977062612772,
0.014615677297115326,
-0.012663804925978184,
-0.03166162595152855,
0.013918869197368622,
0.053194135427474976,
-0.028063658624887466,
-0.0416584238409996,
-0.014357907697558403,
-0.050448302179574966,
-0.004603243432939053,
0.015447288751602173,
0.010920311324298382,
-0.04003234580159187,
-0.011799732223153114,
-0.004014668986201286,
0.05782710388302803,
0.007750159595161676,
0.016845108941197395,
-0.0246710404753685,
0.02155407704412937,
0.020272141322493553,
-0.0013628571759909391,
-0.008169395849108696,
0.0012898566201329231,
-0.015792490914463997,
-0.09201575070619583,
0.05308379977941513,
0.022297345101833344,
-0.024435000494122505,
0.03441839665174484,
0.02506488561630249,
0.000587108195759356,
0.010625469498336315,
0.07600948959589005,
-0.03206896409392357,
0.00428613880649209,
-0.030740059912204742,
-0.017973512411117554,
-0.01896638423204422,
0.010761081241071224,
-0.00018091301899403334,
-0.105208620429039,
-0.014743078500032425,
-0.015546144917607307,
-0.04045083746314049,
-0.0014634260442107916,
-0.007537566125392914,
-0.0274283979088068,
0.042843371629714966,
-0.02853006310760975,
0.00048223824705928564,
-0.10872434079647064,
0.07396267354488373,
0.010213145986199379,
0.0324050635099411,
0.03510732203722,
-0.03375706449151039,
0.033035170286893845,
0.02122935652732849,
-0.0020366047974675894,
0.08240009099245071,
-0.010489915497601032,
0.01786341331899166,
0.05660001188516617,
0.002521474612876773,
-0.021282879635691643,
-0.004736806731671095,
0.022736450657248497,
0.04866820573806763,
0.000024443059373879805,
-0.023331252858042717,
-0.02440062165260315,
0.02953444980084896,
-0.020888982340693474,
0.004679481964558363,
0.03543228283524513,
-0.024211669340729713,
0.01366849709302187,
-0.02305201068520546,
-0.006483160424977541,
-0.023459646850824356,
0.04870432987809181,
-0.015784261748194695,
-0.004804076626896858,
-0.01773620955646038,
-0.015526101924479008,
0.0038678040727972984,
0.04717725142836571,
0.015195667743682861,
0.04343147948384285,
-0.05991395190358162,
0.002802440896630287,
0.04717059060931206,
0.0050571272149682045,
-0.032279908657073975,
0.004584867041558027,
0.005698489025235176,
0.029426565393805504,
0.019471032544970512,
0.022632071748375893,
-0.01624031737446785,
0.011193915270268917,
-0.0263732448220253,
0.0677201896905899,
-0.020061170682311058,
-0.055723853409290314,
-0.04755701497197151,
-0.06084388121962547,
-0.019264765083789825,
0.05801791325211525,
-0.04052190110087395,
0.03408423811197281,
-0.009594357572495937,
0.039132509380578995,
0.027874842286109924,
0.027761224657297134,
0.031618691980838776,
-0.07902359962463379,
0.01368423830717802,
0.028707459568977356,
-0.0072545562870800495,
-0.004488248378038406,
-0.037931982427835464,
0.0900777131319046,
-0.05351778864860535,
0.0074899508617818356,
-0.00018972833640873432,
-0.0849355161190033,
-0.023837272077798843,
0.043333061039447784,
0.0069200946018099785,
0.057740647345781326,
0.005866628605872393,
-0.008769855834543705,
0.05474762246012688,
-0.00029510262538678944,
-0.011917661875486374,
0.013180804438889027,
-0.06615077704191208,
-0.0009451917721889913,
-0.011757615953683853,
-0.08977752178907394,
-0.005148116033524275,
0.050829727202653885,
-0.04734001308679581,
-0.014524955302476883,
0.04873034730553627,
-0.002768457168713212,
0.033989813178777695,
-0.026111647486686707,
-0.008911577984690666,
0.0029869969002902508,
0.03096848540008068,
-0.0002553589001763612,
0.008405270054936409,
-0.006503024138510227,
-0.0421753004193306,
0.016278985887765884,
-0.0012591759441420436,
-0.009024929255247116,
0.023035690188407898,
-0.009742761962115765,
0.1096857488155365,
0.06049211695790291,
-0.038223959505558014,
0.037873223423957825,
0.03652235493063927,
0.012288369238376617,
0.0006877201376482844,
-0.002452914835885167,
0.021432112902402878,
0.04879302531480789,
0.020081879571080208,
-0.053298499435186386,
-0.025974946096539497,
0.06891842931509018,
-0.0553673580288887,
0.03021487407386303,
0.06865021586418152,
-0.03041207417845726,
0.05796613171696663,
0.006887358147650957,
-0.007084648124873638,
0.006195800378918648,
0.013563483953475952,
-0.06343025714159012,
-0.027747606858611107,
-0.03937052562832832,
0.01332622580230236,
0.02665046602487564,
0.009866228327155113,
0.028831331059336662,
-0.01997460052371025,
0.0007189384778030217,
0.013200532644987106,
0.044727303087711334,
0.02295825444161892,
0.0022982824593782425,
0.023037122562527657,
0.022618792951107025,
-0.027427582070231438,
-0.0015524231130257249,
-0.1017657220363617,
-0.07115939259529114,
-0.002093350747600198,
0.06046668440103531,
-0.016594255343079567,
0.03311372920870781,
-0.07124493271112442,
-0.002796491375193,
0.009302905760705471,
-0.01196052972227335,
0.010571997612714767,
0.024006426334381104,
0.01814672350883484,
-0.04213334247469902,
-0.013924997299909592,
0.03343016654253006,
0.07044745236635208,
0.006524895783513784,
-0.027036750689148903,
-0.018484586849808693,
-0.03914675861597061,
-0.032819781452417374,
-0.010134739801287651,
-0.005028354004025459,
0.03287693113088608,
0.01122173573821783,
0.03725726902484894,
-0.01657533086836338,
-0.0020043025724589825,
0.07238686829805374,
0.02465711161494255,
-0.009315257892012596,
0.03133498877286911,
-0.008495846763253212,
0.01280412171036005,
0.013475790619850159,
-0.02044028602540493,
0.019747957587242126,
-0.004816147498786449,
-0.0063274395652115345,
0.013623491860926151,
0.03104243054986,
-0.014309131540358067,
-0.2633483409881592,
0.0326850563287735,
-0.0071375733241438866,
-0.008622533641755581,
0.018730860203504562,
-0.003103237831965089,
0.02717715874314308,
-0.013423735275864601,
-0.04256494343280792,
0.014497613534331322,
0.06462270766496658,
0.005002186633646488,
-0.0038370441179722548,
0.06481115520000458,
0.05055864900350571,
0.034398652613162994,
-0.01029969658702612,
-0.004419825505465269,
0.023337751626968384,
0.03715179115533829,
-0.0018915081163868308,
-0.03391500934958458,
-0.01776685193181038,
0.040462542325258255,
-0.0000915466298465617,
0.04800407215952873,
-0.03176035359501839,
0.03863028436899185,
-0.054029688239097595,
0.0202565249055624,
-0.012026471085846424,
-0.04196075350046158,
0.014588600024580956,
-0.0009861086728051305,
0.034861236810684204,
-0.008031548000872135,
0.008110832422971725,
0.05402010679244995,
0.017902953550219536,
0.04336134344339371,
-0.04457179456949234,
-0.02589181624352932,
-0.05057757720351219,
-0.03560548648238182,
0.040780145674943924,
0.004972112365067005,
0.0005378538044169545,
0.017082350328564644,
-0.016284240409731865,
0.046800848096609116,
0.028247492387890816,
-0.023676542565226555,
-0.056226592510938644,
0.019963614642620087,
-0.011944119818508625,
-0.046982381492853165,
-0.021625101566314697,
0.00738105783239007,
-0.03207127004861832,
-0.0016582587268203497,
0.0034378624986857176,
-0.0036198662128299475,
0.02977151609957218,
-0.054329536855220795,
-0.012899504043161869,
-0.03203288093209267,
-0.06253122538328171,
-0.07153405249118805,
0.06823178380727768,
0.04418902471661568,
-0.010342152789235115,
-0.006078038364648819,
-0.0061308350414037704,
-0.08760843425989151,
0.018674330785870552,
-0.02041362226009369,
-0.030413484200835228,
-0.0005732962163165212,
-0.009311490692198277,
0.047139666974544525,
-0.0007363904733210802,
-0.018411260098218918,
0.02318669855594635,
0.017935944721102715,
0.024122970178723335,
0.010158388875424862,
0.01188739389181137,
-0.03736564889550209,
-0.008507446385920048,
-0.0007648708415217698,
0.018217863515019417,
0.010700048878788948,
0.027364155277609825,
0.040459297597408295,
0.02039380744099617,
0.053334418684244156,
-0.0007399444584734738,
0.041770391166210175,
0.013177785091102123,
0.008458777330815792,
0.03822522982954979,
-0.07812531292438507,
-0.021526727825403214,
-0.07673797756433487,
-0.016342662274837494,
0.018703874200582504,
-0.06548655778169632,
-0.017311153933405876,
0.012588541023433208,
-0.05725764483213425,
0.03116879239678383,
-0.000595628924202174,
-0.004260004032403231,
-0.0619766004383564,
0.03380352631211281,
-0.047086045145988464,
-0.025231121107935905,
0.035764750093221664,
0.03390003368258476,
-0.01698596589267254,
-0.003652219893410802,
0.0011464428389444947,
-0.02370021678507328,
-0.019801732152700424,
0.0032901272643357515,
-0.019209634512662888,
-0.004202738869935274,
0.007652638480067253,
-0.009468546137213707,
0.022460611537098885,
0.04444015771150589,
0.044620223343372345,
0.010693601332604885,
0.03797093778848648,
0.026264481246471405,
-0.04011031985282898,
-0.02291213907301426,
-0.03029784932732582,
0.0006692666793242097,
-0.03924298286437988,
0.020657185465097427,
-0.02867196872830391,
-0.010316076688468456,
0.001840110751800239,
0.04619019106030464,
-0.03059285692870617,
-0.04928715154528618,
0.010549616068601608,
-0.03470372036099434,
-0.022346673533320427,
0.023472053930163383,
-0.010372156277298927,
-0.011453925631940365,
-0.05481070652604103,
-0.02584472857415676,
-0.025300854817032814,
0.032596491277217865,
-0.01432594284415245,
0.005188879556953907,
-0.08541535586118698,
0.027374960482120514,
-0.03855099901556969,
-0.00838590506464243,
-0.03227629512548447,
0.0017260742606595159,
0.053164176642894745,
-0.005438804626464844,
0.015785593539476395,
0.016598792746663094,
0.012529324740171432,
0.033360518515110016,
-0.04705693945288658,
-0.02263810858130455,
0.014728693291544914,
-0.03524716943502426,
-0.019393453374505043,
-0.033225055783987045,
-0.014039132744073868,
-0.03048083744943142,
0.018537702038884163,
-0.012864848598837852,
-0.015600030310451984,
-0.017544077709317207,
-0.002725937869399786,
0.06858476996421814,
0.0069373492151498795,
0.023035220801830292,
-0.021205604076385498,
-0.03000105917453766,
0.027214406058192253,
0.012166854925453663,
0.012133769690990448,
-0.05710654333233833,
-0.027755947783589363,
-0.026817383244633675,
-0.025924280285835266,
-0.0040186867117881775,
0.010478820651769638,
-0.0040099429897964,
0.03156280890107155,
-0.0052651576697826385,
0.0023572100326418877,
-0.013414030894637108,
0.0039974115788936615,
-0.005312473978847265,
-0.08567141741514206,
-0.026621855795383453,
0.05063695088028908,
-0.07007475197315216,
0.03457344323396683,
-0.0785675197839737,
-0.035302404314279556,
-0.045165762305259705,
0.009017850272357464,
0.010483586229383945,
-0.029897578060626984,
-0.028355417773127556,
-0.007244868669658899,
-0.023616848513484,
0.03291478008031845,
0.0405612513422966,
-0.012023316696286201,
-0.027882346883416176,
-0.01884346827864647,
-0.007843085564672947,
0.05997314676642418,
-0.013043652288615704,
-0.04008479416370392,
0.009073779918253422,
-0.016945574432611465,
0.0016094646416604519,
-0.07024005800485611,
-0.0022160459775477648,
0.06333272159099579,
-0.000658031611237675,
-0.012829555198550224,
-0.033614035695791245,
0.037288598716259,
-0.017940083518624306,
-0.034327227622270584,
-0.012325829826295376,
0.01690525747835636,
-0.015002540312707424,
-0.021758342161774635,
0.03613884747028351,
0.019693445414304733,
-0.023531068116426468,
-0.035139478743076324,
0.046656183898448944,
0.043278422206640244,
0.01986086368560791,
-0.025565603747963905,
-0.04703111574053764,
-0.0035529714077711105,
0.042187973856925964,
0.003795833792537451,
-0.04927316680550575,
-0.08234947174787521,
-0.024943143129348755,
0.03914336487650871,
-0.026084093376994133,
0.04743041843175888,
0.02739979699254036,
0.0719154104590416,
0.056311991065740585,
0.04059860110282898,
0.008702035993337631,
-0.019359320402145386,
0.05713648349046707,
-0.057296112179756165,
0.004318212158977985,
-0.045497503131628036,
0.0066993385553359985,
0.07067244499921799,
0.008370064198970795,
0.02119646780192852,
-0.0076366025023162365,
0.009280283935368061,
0.01784779690206051,
-0.018833359703421593,
-0.0647318959236145,
-0.022718660533428192,
-0.02440395951271057,
-0.019922839477658272,
0.03339873254299164,
-0.05136595293879509,
0.0052108122035861015,
0.010735527612268925,
-0.02670874446630478,
0.0036476869136095047,
0.0011396472109481692,
0.0499282069504261,
-0.026413077488541603,
0.016155127435922623,
-0.017811244353652,
0.0027459997218102217,
-0.001178732723928988,
0.06795092672109604,
0.029750771820545197,
0.042879585176706314,
-0.052190329879522324,
0.051422663033008575,
0.029450666159391403,
0.0048506674356758595,
-0.034483667463064194,
-0.014064333401620388,
0.03134091943502426,
-0.02791042998433113,
0.0014251640532165766,
0.022974587976932526,
-0.011051859706640244,
-0.05994648486375809,
0.04426446929574013,
0.0014457280049100518,
-0.05720086768269539,
-0.026878969743847847,
-0.005147034768015146,
-0.029695814475417137,
0.040210023522377014,
0.003975415602326393,
0.03416570648550987,
0.008246888406574726,
0.08471382409334183,
-0.003981676418334246,
0.029470831155776978,
0.04824231564998627,
0.012793418951332569,
0.0032816047314554453,
-0.0018205210799351335,
0.08894310891628265,
0.09323682636022568,
0.02602282352745533,
0.02125748246908188,
0.0819959044456482,
-0.0263091791421175,
-0.06451589614152908,
-0.0021581395994871855,
-0.0005088361795060337,
-0.025056708604097366,
-0.01609845645725727,
0.05414954945445061,
0.08083014190196991,
-0.02033974789083004,
0.03848647326231003,
0.02828638255596161,
0.03040878102183342,
0.007238785270601511,
0.014634918421506882,
0.023308275267481804,
0.03525254875421524,
0.029118241742253304,
0.017489779740571976,
-0.02466789074242115,
-0.022017939016222954,
-0.02622869797050953,
-0.0004220797563903034,
0.027158649638295174,
0.04834311828017235,
-0.028777452185750008,
-0.0027542496100068092,
0.03169604390859604,
-0.035104453563690186,
0.0523708276450634,
-0.03747030720114708,
0.002441943623125553,
0.0041869389824569225,
0.028043651953339577,
0.01681331917643547,
0.07224714010953903,
0.03122490644454956,
-0.018034936860203743,
-0.030787400901317596,
-0.013890229165554047,
-0.022232189774513245,
0.045238152146339417,
0.002546906005591154,
0.06115075945854187,
-0.055523015558719635,
0.0033615396823734045,
0.02289285697042942,
-0.03474035859107971,
-0.04984703287482262,
-0.015867268666625023,
-0.016316287219524384,
-0.05737115070223808,
-0.0654318779706955,
0.01154968049377203,
0.0378158837556839,
0.0067258570343256,
-0.011001824401319027,
0.022065192461013794,
0.015465081669390202,
0.03388337418437004,
0.03793244808912277,
-0.033399779349565506,
-0.019270863384008408,
0.037385839968919754,
-0.013574507087469101,
0.005727068521082401,
0.022847510874271393,
0.007405499462038279,
-0.007163672707974911,
-0.03873927891254425,
0.021800246089696884,
0.00023125947336666286,
0.05404281988739967,
-0.02909385971724987,
-0.028019702062010765,
-0.04775766655802727,
0.02748938277363777,
0.020648794248700142,
0.008101887069642544,
-0.09101057052612305,
0.05229019373655319,
-0.02624158188700676,
-0.008650902658700943,
0.06646887212991714,
-0.000007972320418048184,
0.0015364360297098756,
-0.039567980915308,
-0.005150682292878628,
-0.02286386676132679,
0.022356627508997917,
0.03930225968360901,
-0.01836179755628109,
0.05955444648861885,
0.027300192043185234,
-0.06832227110862732,
-0.03565404191613197,
0.02852756902575493,
-0.0198067594319582,
-0.0019610680174082518,
-0.04641735926270485,
-0.010615542531013489,
-0.03938986733555794,
-0.08885588496923447,
-0.020692329853773117,
0.03604081645607948,
-0.029117796570062637,
-0.013169761747121811,
-0.010558473877608776,
-0.0502045601606369,
0.001230885274708271,
-0.01013330090790987,
-0.00867643766105175,
-0.008319013752043247,
-0.04874294251203537,
-0.05920691043138504,
-0.0659307911992073,
-0.016255756840109825,
-0.04869828373193741,
0.014545404352247715,
-0.03248869627714157,
-0.02627958171069622,
0.020650094375014305,
-0.01958814449608326,
0.0016351848607882857,
0.04860275238752365,
-0.004510535392910242,
-0.013195903971791267
] |
https://github.com/tomer1812/mistr
|
576 |
On Explaining Equivariant Graph Networks via Improved Relevance Propagation
|
https://openreview.net/forum?id=G2mAZTpJcz
|
[
"Hongyi Ling",
"Haiyang Yu",
"Zhimeng Jiang",
"Na Zou",
"Shuiwang Ji"
] |
Poster
|
We consider explainability in equivariant graph neural networks for 3D geometric graphs. While many XAI methods have been developed for analyzing graph neural networks, they predominantly target 2D graph structures. The complex nature of 3D data and the sophisticated architectures of equivariant GNNs present unique challenges. Current XAI techniques either struggle to adapt to equivariant GNNs or fail to effectively handle positional data and evaluate the significance of geometric features adequately.
To address these challenges, we introduce a novel method, known as EquiGX, which uses the Deep Taylor decomposition framework to extend the layer-wise relevance propagation rules tailored for spherical equivariant GNNs. Our approach decomposes prediction scores and back-propagates the relevance scores through each layer to the input space. Our decomposition rules provide a detailed explanation of each layer’s contribution to the network’s predictions, thereby enhancing our understanding of how geometric and positional data influence the model’s outputs.
Through experiments on both synthetic and real-world datasets, our method demonstrates its capability to identify critical geometric structures and outperform alternative baselines. These results indicate that our method provides significantly enhanced explanations for equivariant GNNs. Our code has been released as part of the AIRS library (https://github.com/divelab/AIRS/).
|
equivariant GNNs, XAI
| null | 12,944 | null |
[
-0.006117082666605711,
-0.0021549290977418423,
0.005383680574595928,
0.03761652857065201,
0.012116486206650734,
0.03519085794687271,
0.0030231336131691933,
0.01905106194317341,
-0.0052253250032663345,
-0.05492618680000305,
-0.006172830704599619,
-0.00037929252721369267,
-0.06836701929569244,
0.03818664699792862,
0.017679700627923012,
0.049000997096300125,
0.026689942926168442,
0.005794125143438578,
-0.013966642320156097,
0.027166178449988365,
0.022799449041485786,
-0.03737884387373924,
0.019395584240555763,
0.006486223544925451,
0.05959561467170715,
-0.026312492787837982,
0.027019381523132324,
-0.005552846472710371,
0.010578795336186886,
0.008698229677975178,
0.024709424003958702,
0.001434752601198852,
0.024510515853762627,
-0.05137249454855919,
-0.005756093189120293,
0.011758754961192608,
-0.04113653674721718,
0.006821123883128166,
-0.002571146236732602,
0.019166352227330208,
-0.042629174888134,
-0.0018314875196665525,
-0.01912754587829113,
0.02581087313592434,
-0.045220520347356796,
0.0170787051320076,
-0.09130353480577469,
0.03390798717737198,
0.007340629119426012,
-0.019846318289637566,
-0.08765929192304611,
0.009944498538970947,
0.0018708310090005398,
0.013931401073932648,
0.018270255997776985,
0.03863833099603653,
0.042911678552627563,
-0.05848007649183273,
-0.013836639933288097,
-0.03385302424430847,
-0.033484525978565216,
0.04054347425699234,
0.017092889174818993,
0.036307111382484436,
-0.014444157481193542,
0.006747523322701454,
0.012624758295714855,
0.05433831363916397,
-0.0536445714533329,
-0.05986689776182175,
-0.015190878883004189,
0.021771760657429695,
-0.007472218945622444,
0.0280601866543293,
-0.0032245006877928972,
-0.02464406192302704,
0.008386182598769665,
0.01687275618314743,
0.0814390778541565,
-0.0005561430007219315,
0.025886237621307373,
0.029940225183963776,
-0.020137449726462364,
0.029698478057980537,
-0.0007071878062561154,
0.011443676427006721,
-0.04017304629087448,
-0.04001712426543236,
-0.07904303073883057,
0.027203736826777458,
-0.05725616589188576,
-0.0610976442694664,
0.0015143428463488817,
0.01686588115990162,
0.003979688510298729,
-0.02180415205657482,
0.04105575010180473,
-0.010924733243882656,
0.03401636704802513,
-0.026868300512433052,
-0.026448490098118782,
-0.0636829063296318,
0.003548939013853669,
0.009765763767063618,
-0.10919154435396194,
-0.037240251898765564,
-0.007627274841070175,
-0.022530797868967056,
-0.009315244853496552,
-0.036591917276382446,
-0.06493767350912094,
0.01859194226562977,
0.028065577149391174,
-0.0250208992511034,
-0.04665220156311989,
0.016636749729514122,
-0.008846702054142952,
-0.00967501662671566,
0.003326910315081477,
0.053217608481645584,
0.061749305576086044,
0.0450921431183815,
-0.004239055328071117,
0.07090755552053452,
-0.0010894036386162043,
0.038522060960531235,
-0.00962975062429905,
0.023044399917125702,
-0.03988398239016533,
-0.027856534346938133,
0.005499344784766436,
0.03990773484110832,
0.012513705529272556,
0.0024453725200146437,
0.015305494889616966,
-0.0516466423869133,
-0.002269967459142208,
0.015530909411609173,
0.018989741802215576,
-0.009385074488818645,
-0.007599730510264635,
-0.04939097911119461,
0.05350320786237717,
-0.043957311660051346,
0.10703865438699722,
-0.02488604187965393,
-0.04625465348362923,
-0.013141106814146042,
-0.020852459594607353,
-0.0026728103403002024,
0.022648131474852562,
-0.0021528478246182203,
0.012393430806696415,
-0.05850331857800484,
-0.010699240490794182,
0.041022028774023056,
-0.010687497444450855,
0.021404072642326355,
0.006311248522251844,
0.009516631253063679,
0.02364381216466427,
-0.009181558154523373,
0.0027611032128334045,
0.04431604593992233,
-0.008580267429351807,
-0.04185807704925537,
0.007075487170368433,
0.0428198017179966,
-0.04510253667831421,
0.0002321197825949639,
-0.01714525930583477,
-0.04046327993273735,
0.042043641209602356,
-0.005949325393885374,
-0.04152744635939598,
-0.005646394100040197,
0.06986481696367264,
-0.009194753132760525,
0.03567048907279968,
0.005950614809989929,
-0.07941346615552902,
0.03007189929485321,
0.01558891125023365,
-0.02665691450238228,
-0.003315958194434643,
-0.00024724079412408173,
0.07485956698656082,
-0.020050952211022377,
0.039957910776138306,
0.03005346469581127,
-0.07535319775342941,
0.010143708437681198,
0.005825060419738293,
-0.031912799924612045,
0.07106146216392517,
0.008495111018419266,
-0.008452883921563625,
0.03671737760305405,
0.016954829916357994,
0.05231645703315735,
0.06098945066332817,
-0.01932884193956852,
0.06751435250043869,
-0.003649971215054393,
-0.04183972254395485,
-0.005263867322355509,
0.03466744348406792,
-0.049058374017477036,
-0.05249897018074989,
0.030519159510731697,
-0.00950267631560564,
-0.00324766687117517,
-0.0028807150665670633,
-0.03596032038331032,
-0.0042324247770011425,
0.01560914609581232,
-0.03906501457095146,
0.006367029156535864,
0.029061945155262947,
-0.04193747416138649,
0.06051681190729141,
0.011424952186644077,
-0.007834450341761112,
0.007146840449422598,
-0.039204780012369156,
0.11780107021331787,
0.08972953259944916,
-0.018148446455597878,
-0.011725788936018944,
0.007542783860117197,
0.023559730499982834,
0.06091402471065521,
0.017781278118491173,
-0.02003629505634308,
0.00841453392058611,
-0.027320070192217827,
-0.006743601057678461,
-0.01669216901063919,
0.06986077129840851,
-0.03125159442424774,
-0.009357161819934845,
0.06857242435216904,
-0.023849979043006897,
0.04106711596250534,
0.005221179686486721,
0.022856315597891808,
0.04696985334157944,
-0.013100332580506802,
-0.03108370490372181,
-0.02535589411854744,
-0.015007825568318367,
0.011446665041148663,
0.01659051701426506,
0.0027085519395768642,
0.01708895154297352,
-0.03466305881738663,
0.02271631918847561,
-0.0254732146859169,
0.07974858582019806,
0.054158084094524384,
0.02184319868683815,
-0.010903483256697655,
0.01815103553235531,
-0.03164445981383324,
-0.014990638010203838,
-0.11133776605129242,
-0.06011927127838135,
-0.024541914463043213,
0.048573724925518036,
0.012858632020652294,
0.08384162187576294,
-0.016215279698371887,
0.026680627837777138,
-0.02144535630941391,
-0.02645086869597435,
0.006668511778116226,
0.00692790886387229,
0.011584526859223843,
-0.05715484917163849,
-0.008091602474451065,
0.016923731192946434,
0.05808837339282036,
-0.026919862255454063,
-0.014915972016751766,
-0.03958955407142639,
-0.047017116099596024,
0.00009539203892927617,
-0.039985619485378265,
-0.02243594266474247,
0.009987279772758484,
0.028311436995863914,
0.021240802481770515,
-0.02969134971499443,
0.01654752716422081,
0.05558742955327034,
0.04446210339665413,
0.05745505914092064,
-0.03154614940285683,
-0.02301166020333767,
0.004318084567785263,
-0.032225243747234344,
0.05646887421607971,
0.02617628127336502,
-0.0037503254134207964,
-0.019226012751460075,
-0.004532144870609045,
-0.01570291258394718,
0.01977844536304474,
-0.2681922912597656,
-0.015621273778378963,
0.01146537996828556,
-0.00870909821242094,
0.01860414259135723,
-0.012289050966501236,
0.04985947906970978,
-0.00633059348911047,
-0.04065704718232155,
0.007569572422653437,
0.042630888521671295,
0.015414832159876823,
-0.012663733214139938,
0.04078250750899315,
0.020188545808196068,
0.022368459030985832,
-0.002329549752175808,
-0.019299592822790146,
0.025358261540532112,
0.03320565074682236,
-0.034403543919324875,
-0.05756731703877449,
-0.05330798029899597,
0.03233999386429787,
-0.006436821073293686,
0.01338733360171318,
-0.09391751140356064,
-0.023897025734186172,
-0.03503844887018204,
-0.0041056531481444836,
-0.000157020433107391,
-0.01659988984465599,
-0.008691439405083656,
0.04310452938079834,
-0.009180472232401371,
0.004703947808593512,
0.0027956520207226276,
-0.03786327317357063,
0.024805715307593346,
0.03445020318031311,
0.008188271895051003,
0.009045193903148174,
-0.021845372393727303,
0.035970550030469894,
0.07363671064376831,
-0.03098689392209053,
-0.022799167782068253,
0.003641254035755992,
-0.008976666256785393,
0.03140970319509506,
-0.016780436038970947,
-0.030006933957338333,
-0.0046813576482236385,
-0.0054844096302986145,
-0.007725920062512159,
-0.024899527430534363,
0.000015430339772137813,
-0.009077614173293114,
-0.030702950432896614,
-0.002521187998354435,
0.022204849869012833,
-0.03668053075671196,
-0.008624567650258541,
-0.0416799895465374,
-0.04534858465194702,
-0.03525283560156822,
-0.0837058573961258,
-0.0864672139286995,
0.019406013190746307,
0.02294783666729927,
-0.0035066334530711174,
0.041732557117938995,
-0.03483705595135689,
-0.0866803303360939,
0.013493451289832592,
0.0016730516217648983,
-0.021391959860920906,
0.005528268404304981,
0.010238016955554485,
0.03705636039376259,
-0.025501778349280357,
-0.05981047451496124,
-0.020262211561203003,
0.035677969455718994,
0.012623293325304985,
0.024550367146730423,
0.02506447397172451,
-0.0551653690636158,
-0.05478469654917717,
0.01709262654185295,
0.03518592193722725,
0.02259422279894352,
0.059258490800857544,
0.011071912944316864,
0.03327041119337082,
0.03262834995985031,
0.038516897708177567,
-0.00005795491597382352,
0.05554036423563957,
0.021162662655115128,
0.022071154788136482,
-0.0837341696023941,
-0.0019202815601602197,
0.007296023890376091,
-0.06170087680220604,
0.0074677979573607445,
-0.021721288561820984,
-0.013479307293891907,
0.048107706010341644,
0.01640411466360092,
-0.020676542073488235,
-0.04245873913168907,
0.01489198300987482,
-0.004533177707344294,
-0.030296627432107925,
-0.01623840071260929,
0.001118695829063654,
0.030669640749692917,
0.026691081002354622,
-0.04379772022366524,
-0.005919585470110178,
0.03926077485084534,
-0.030734647065401077,
0.011111177504062653,
-0.020861461758613586,
0.006826776545494795,
0.002545814262703061,
-0.029934130609035492,
0.02068525180220604,
0.03032630681991577,
0.02846105396747589,
0.02796958200633526,
0.004149002954363823,
0.01872672699391842,
0.062224503606557846,
-0.020290261134505272,
0.01378644723445177,
-0.005106206983327866,
0.029232993721961975,
-0.03164808079600334,
0.02630562335252762,
0.031212538480758667,
0.04427741467952728,
-0.00176994560752064,
0.03186091408133507,
0.005095025524497032,
0.026600375771522522,
-0.019132787361741066,
-0.009378817863762379,
-0.03204011917114258,
0.04796499386429787,
-0.03568166866898537,
-0.007636454422026873,
-0.025105899199843407,
0.021498996764421463,
-0.004326388705521822,
0.055418960750103,
-0.01111601386219263,
0.010020849294960499,
-0.049605824053287506,
0.09896302223205566,
-0.0157856997102499,
-0.0287752877920866,
-0.007138856220990419,
0.023928552865982056,
0.05146490037441254,
-0.0014095583464950323,
0.019020644947886467,
-0.0009936931310221553,
-0.0037491745315492153,
0.01880362071096897,
0.005089506972581148,
0.009698093868792057,
-0.016934316605329514,
-0.028376566246151924,
0.03951527550816536,
-0.03193584457039833,
0.0019609504379332066,
0.0003721547545865178,
0.006099570542573929,
0.010154660791158676,
-0.04376715049147606,
-0.006447813473641872,
0.015289238654077053,
0.052221473306417465,
0.010494288988411427,
0.026563944295048714,
0.024087052792310715,
-0.037236060947179794,
0.04537670686841011,
0.01994461752474308,
0.023526430130004883,
-0.06376469880342484,
-0.026514723896980286,
-0.014386698603630066,
-0.03952663019299507,
0.006703592836856842,
-0.001161930849775672,
-0.023103421553969383,
-0.008384675718843937,
0.0035124218557029963,
0.03553637117147446,
-0.06257995218038559,
-0.01999097317457199,
0.02432204596698284,
-0.06553284078836441,
-0.006633164826780558,
0.027030793949961662,
-0.023858044296503067,
-0.0114569291472435,
-0.00468955934047699,
-0.031023191288113594,
-0.0648469552397728,
-0.05786322429776192,
0.026712186634540558,
0.004050946328788996,
-0.022871747612953186,
-0.022284748032689095,
-0.0178618673235178,
0.005479266867041588,
0.027844075113534927,
-0.006551751866936684,
0.00014412983728107065,
-0.03469233587384224,
-0.002218798268586397,
0.0758419781923294,
0.018454372882843018,
-0.02423901855945587,
-0.027822455391287804,
-0.03480737656354904,
0.013142640702426434,
-0.015366490930318832,
0.007804374676197767,
0.05256874859333038,
-0.019840629771351814,
0.02966024912893772,
-0.07449710369110107,
0.012949037365615368,
0.014161709696054459,
-0.02561739645898342,
0.020173143595457077,
-0.022268882021307945,
-0.047458019107580185,
0.025126943364739418,
0.011138071306049824,
0.032767586410045624,
0.024915199726819992,
-0.015760226175189018,
0.014542306773364544,
-0.000950123299844563,
0.02856127731502056,
-0.016954990103840828,
-0.05933333560824394,
-0.03968210145831108,
0.05405860394239426,
-0.05523110181093216,
-0.01519361324608326,
-0.04300077259540558,
-0.007004466839134693,
0.0027219161856919527,
-0.03530481085181236,
0.02101261168718338,
-0.01132696121931076,
0.03493601456284523,
0.017353158444166183,
0.028233328834176064,
0.011648296378552914,
-0.006417555268853903,
0.039401277899742126,
-0.03297191485762596,
-0.011184937320649624,
-0.0478241890668869,
-0.017491281032562256,
0.064562126994133,
-0.0405702106654644,
-0.03891243040561676,
-0.013296319171786308,
-0.017967509105801582,
0.031096089631319046,
-0.006683588493615389,
-0.04791279882192612,
0.004023903049528599,
-0.017984682694077492,
-0.00395003380253911,
0.047597143799066544,
-0.03226343169808388,
-0.028272151947021484,
0.0011986978352069855,
-0.03989986702799797,
-0.017376253381371498,
-0.010874344035983086,
0.0583302266895771,
-0.02475636452436447,
0.017373312264680862,
0.006538983900099993,
0.012884154915809631,
0.03429296985268593,
0.08767516165971756,
0.033560387790203094,
0.02766338363289833,
-0.05249669775366783,
0.061951372772455215,
0.024124441668391228,
0.004268793389201164,
0.03360443934798241,
0.029846271499991417,
-0.022134583443403244,
-0.05044352263212204,
0.05743446946144104,
0.03164246305823326,
-0.014736512675881386,
-0.07095092535018921,
0.07447908818721771,
0.008714014664292336,
-0.06271824985742569,
0.0032937938813120127,
0.01810319907963276,
-0.03497008979320526,
0.007878085598349571,
-0.013950779102742672,
-0.01008180994540453,
0.01025459449738264,
0.05907813087105751,
0.002788253827020526,
0.05292939394712448,
0.03594611585140228,
0.022730641067028046,
-0.008482460863888264,
-0.052323758602142334,
0.08112669736146927,
0.05317992344498634,
0.03780285269021988,
-0.008668454363942146,
0.07412140816450119,
-0.020700005814433098,
-0.053071435540914536,
-0.0020441918168216944,
0.03574533388018608,
0.010847102850675583,
-0.036165181547403336,
0.004458848852664232,
0.09031810611486435,
-0.005889100953936577,
0.05706344544887543,
-0.03470867499709129,
0.00046604833914898336,
0.02124498225748539,
-0.004919819068163633,
-0.021614309400320053,
0.027101732790470123,
0.014927308075129986,
0.027475062757730484,
-0.02992568165063858,
-0.009619895368814468,
-0.05890216305851936,
-0.007583188824355602,
0.01682012341916561,
0.01873231679201126,
-0.010853446088731289,
0.032006677240133286,
-0.005942546762526035,
0.008833669126033783,
0.10551219433546066,
-0.05678478255867958,
-0.03203369677066803,
0.020624803379178047,
0.010480429977178574,
-0.0001096877022064291,
0.03880441561341286,
0.012158144265413284,
-0.04518262296915054,
0.007926841266453266,
-0.017788954079151154,
0.026945995166897774,
-0.00667956005781889,
-0.006034209858626127,
0.004227447789162397,
-0.024192607030272484,
-0.043029528111219406,
-0.021605277433991432,
0.028105545789003372,
-0.0253800917416811,
-0.06794726848602295,
-0.0337238609790802,
-0.07228823006153107,
-0.05656326189637184,
-0.03905671462416649,
0.0297625083476305,
-0.004457040689885616,
-0.03323167562484741,
-0.015641365200281143,
0.010207323357462883,
0.005403577350080013,
0.04739326983690262,
-0.05096631497144699,
0.016542334109544754,
0.023935342207551003,
0.019781483337283134,
-0.00204587378539145,
0.04372076690196991,
0.020431527867913246,
-0.032181691378355026,
-0.0000568949653825257,
0.039847876876592636,
0.019610531628131866,
0.0167606882750988,
0.004053211305290461,
-0.025585126131772995,
-0.11792818456888199,
0.010959142819046974,
0.004091577138751745,
-0.05185532942414284,
-0.09822572022676468,
0.033337097615003586,
-0.021058179438114166,
0.005120337940752506,
0.06507379561662674,
0.022621043026447296,
-0.0028352919034659863,
-0.027780085802078247,
0.017055565491318703,
0.02281319350004196,
0.0004009772965218872,
0.04084073007106781,
-0.014112718403339386,
0.06869680434465408,
0.03428022563457489,
-0.031019555404782295,
0.005054875742644072,
0.0075144036673009396,
-0.016145111992955208,
0.007021455559879541,
-0.031804390251636505,
-0.044640686362981796,
-0.04232240840792656,
-0.11410962790250778,
-0.01610645093023777,
-0.006343110464513302,
0.005416555795818567,
-0.02991136536002159,
-0.032669246196746826,
-0.004217316396534443,
-0.006624712608754635,
-0.009784136898815632,
-0.030950644984841347,
0.016636986285448074,
-0.014482126571238041,
-0.031963858753442764,
-0.043389033526182175,
0.036782458424568176,
-0.022842133417725563,
0.03216663375496864,
-0.03772646561264992,
-0.06352237612009048,
-0.028963273391127586,
-0.0416632741689682,
0.015547404065728188,
-0.01505548506975174,
0.04369552806019783,
0.0034159801434725523
] | null |
577 |
Learning to Plan & Reason for Evaluation with Thinking-LLM-as-a-Judge
|
https://openreview.net/forum?id=PNRznmmWP7
|
[
"Swarnadeep Saha",
"Xian Li",
"Marjan Ghazvininejad",
"Jason E Weston",
"Tianlu Wang"
] |
Poster
|
LLM-as-a-Judge models generate chain-of-thought (CoT) sequences intended to capture the step-by-step reasoning process that underlies the final evaluation of a response. However, due to the lack of human-annotated CoTs for evaluation, the required components and structure of effective reasoning traces remain understudied. Consequently, previous approaches often (1) constrain reasoning traces to hand-designed components, such as a list of criteria, reference answers, or verification questions and (2) structure them such that planning is intertwined with the reasoning for evaluation. In this work, we propose EvalPlanner, a preference optimization algorithm for Thinking-LLM-as-a-Judge that first generates an unconstrained evaluation plan, followed by its execution, and then the final judgment. In a self-training loop, EvalPlanner iteratively optimizes over synthetically constructed evaluation plans and executions, leading to better final verdicts. Our method achieves a new state-of-the-art performance for generative reward models on RewardBench and PPE, despite being trained on fewer amount of, and synthetically generated, preference pairs. Additional experiments on other benchmarks like RM-Bench, JudgeBench, and FollowBenchEval further highlight the utility of both planning and reasoning for building robust LLM-as-a-Judge reasoning models.
|
LLM-as-a-Judge, Planning, Reasoning, Evaluation
| null | 12,919 | null |
[
0.007091505452990532,
-0.01879728026688099,
-0.027564797550439835,
0.015528117306530476,
0.04798786714673042,
-0.002222382463514805,
0.010219658724963665,
-0.020919423550367355,
-0.021794576197862625,
-0.014488797634840012,
-0.02621292509138584,
0.04708070307970047,
-0.05933511257171631,
-0.021120434626936913,
-0.00016077559848781675,
0.044402267783880234,
0.021507272496819496,
0.008389645256102085,
0.008187680505216122,
-0.022589148953557014,
0.03480326011776924,
0.0163416750729084,
0.016446655616164207,
0.027334822341799736,
0.056897662580013275,
0.025663070380687714,
0.034423619508743286,
0.016138143837451935,
-0.025787098333239555,
0.013506638817489147,
0.031847480684518814,
-0.02639094367623329,
0.01664647087454796,
-0.02120555192232132,
-0.02022615261375904,
0.020106319338083267,
-0.04147361218929291,
0.006711416412144899,
0.0005944633157923818,
0.02219799906015396,
-0.020418455824255943,
0.02669055573642254,
0.000992687069810927,
0.010065495036542416,
-0.033944010734558105,
-0.0030315984040498734,
-0.08603458851575851,
0.017030490562319756,
-0.007915323600172997,
-0.025325579568743706,
-0.10490449517965317,
0.04966576397418976,
-0.022570760920643806,
-0.022548189386725426,
0.014234582893550396,
0.015949735417962074,
0.05679855868220329,
-0.13345204293727875,
0.023510735481977463,
-0.036767907440662384,
-0.042543988674879074,
0.027592597529292107,
0.0271444134414196,
0.013031034730374813,
0.0011706933146342635,
-0.02863188460469246,
-0.006342710927128792,
0.04412268474698067,
-0.03474072366952896,
-0.007208193652331829,
-0.058460451662540436,
-0.003571581095457077,
-0.027858950197696686,
0.0011428220896050334,
-0.010394953191280365,
-0.029622957110404968,
0.017367398366332054,
0.04620696231722832,
0.03907608613371849,
-0.02251598984003067,
-0.013283630833029747,
0.046216338872909546,
0.03407713398337364,
0.035291045904159546,
0.06444116681814194,
0.0147382328286767,
-0.037206392735242844,
-0.03487774357199669,
-0.08583660423755646,
0.027323774993419647,
0.018055180087685585,
-0.05154559388756752,
0.002829723060131073,
0.0625891163945198,
0.03500192612409592,
-0.034939154982566833,
0.030237320810556412,
0.0344272255897522,
0.001532152178697288,
-0.009023016318678856,
0.01137557439506054,
-0.03435782343149185,
0.034045591950416565,
-0.01680588722229004,
-0.08839775621891022,
-0.006675032898783684,
-0.003051396459341049,
-0.05211368203163147,
-0.014731348492205143,
0.02965228445827961,
-0.04845713451504707,
-0.004609755706042051,
0.03935430943965912,
0.012375783175230026,
-0.0719839334487915,
0.017997464165091515,
0.02096223644912243,
-0.00019980958313681185,
-0.03181862086057663,
0.04805399850010872,
0.02890259027481079,
0.004087066277861595,
0.007207681890577078,
0.06557998806238174,
-0.01273905485868454,
0.011600303463637829,
0.010207309387624264,
0.023548929020762444,
0.005539259407669306,
-0.039340317249298096,
0.023777563124895096,
0.008596696890890598,
-0.02409047819674015,
-0.014107433147728443,
-0.02856370434165001,
0.02326204814016819,
0.009626004844903946,
-0.03396140784025192,
0.0330016203224659,
-0.0037166080437600613,
-0.010921075940132141,
-0.007713643833994865,
0.10301396250724792,
-0.025668468326330185,
0.06078840047121048,
-0.016135888174176216,
-0.01729944348335266,
-0.018070098012685776,
-0.03426447510719299,
-0.015502892434597015,
0.0002731122076511383,
0.030080871656537056,
-0.011917137540876865,
-0.0512443408370018,
0.02723190002143383,
0.04720592871308327,
0.05578506737947464,
0.002416425384581089,
0.00663438206538558,
0.004399808589369059,
0.001381701440550387,
-0.003593310946598649,
-0.06094652786850929,
0.010973889380693436,
-0.025299524888396263,
-0.03825428709387779,
0.025739973410964012,
0.0006855019018985331,
-0.04504992067813873,
0.012803015299141407,
-0.051360052078962326,
-0.021136581897735596,
0.04983915388584137,
-0.03351666033267975,
-0.01948641613125801,
-0.004833520390093327,
0.05657283961772919,
-0.00313175143674016,
0.046401966363191605,
0.01343108993023634,
-0.06521423161029816,
0.0142052685841918,
-0.004800860304385424,
-0.010864387266337872,
-0.00977453961968422,
-0.03093830868601799,
0.07683708518743515,
-0.04394309222698212,
-0.0036811456084251404,
0.040531568229198456,
-0.0941631868481636,
-0.022803446277976036,
0.05410104990005493,
0.0025000206660479307,
0.06239449977874756,
-0.008233434520661831,
-0.034145474433898926,
0.06658756732940674,
-0.01595938391983509,
0.0775296688079834,
0.04661256819963455,
0.015244671143591404,
0.06882140785455704,
-0.007454344071447849,
-0.028464006260037422,
0.014379558153450489,
0.06408295035362244,
-0.033603403717279434,
-0.026991326361894608,
0.02345293015241623,
-0.010517315939068794,
0.021456297487020493,
0.005282880738377571,
-0.005913369823247194,
-0.00038187389145605266,
-0.0013297843979671597,
-0.01283232495188713,
0.01944274827837944,
0.031508516520261765,
-0.05546930804848671,
0.043528057634830475,
0.03070951998233795,
0.009700815193355083,
-0.006827712059020996,
-0.03418518230319023,
0.08775248378515244,
0.02441488951444626,
-0.039384402334690094,
-0.03776329755783081,
0.058501023799180984,
-0.025227954611182213,
0.007544117979705334,
0.015094473026692867,
-0.03578547015786171,
0.02287461794912815,
-0.011338564567267895,
-0.019953913986682892,
-0.008852639235556126,
0.05037891864776611,
-0.022954346612095833,
0.02513793483376503,
0.0636163055896759,
-0.007266771513968706,
0.08061949163675308,
-0.006529155652970076,
0.009243316948413849,
0.016451595351099968,
0.0013590219896286726,
-0.013159001246094704,
-0.0077819847501814365,
0.010277220979332924,
-0.0009481873130425811,
0.023489682003855705,
-0.032173145562410355,
-0.020814502611756325,
-0.05178433656692505,
-0.03332040086388588,
-0.024375692009925842,
0.046610597521066666,
0.049011096358299255,
-0.0022047143429517746,
0.0010006866650655866,
0.006866194307804108,
-0.01822170615196228,
0.015819281339645386,
-0.08200006186962128,
-0.049861498177051544,
0.018948456272482872,
0.010947001166641712,
0.04394891485571861,
0.030722716823220253,
-0.016604583710432053,
0.0394633449614048,
-0.026908796280622482,
-0.06993011385202408,
0.027168385684490204,
0.009158387780189514,
0.0022615024354308844,
-0.02679840847849846,
-0.012291407212615013,
-0.00974853802472353,
0.04354744032025337,
-0.03477361425757408,
-0.003742075990885496,
-0.005913745611906052,
-0.022170372307300568,
-0.0013850738760083914,
-0.046026263386011124,
0.0007331373053602874,
0.03001284971833229,
0.0017317439196631312,
0.030523966997861862,
0.005334353540092707,
0.012452911585569382,
0.06883033365011215,
0.05240075662732124,
0.050219934433698654,
-0.011640321463346481,
-0.016082143411040306,
0.01777561753988266,
-0.0034050876274704933,
0.032698068767786026,
0.009263738058507442,
0.04884473606944084,
0.020625082775950432,
0.015401052311062813,
0.009598671458661556,
0.01553922425955534,
-0.2601962685585022,
-0.019898129627108574,
0.03672114387154579,
-0.016959412023425102,
0.03974397853016853,
-0.04020132124423981,
0.0637684017419815,
-0.0331721268594265,
-0.0371384434401989,
0.0015056272968649864,
0.012570859864354134,
0.03698552027344704,
0.009188191033899784,
0.061062660068273544,
0.057036370038986206,
0.045141980051994324,
-0.012257924303412437,
-0.010894803330302238,
0.012370582669973373,
0.042939260601997375,
0.003767406102269888,
-0.07817763090133667,
-0.01590733788907528,
0.036734286695718765,
-0.001397616695612669,
0.053807273507118225,
-0.07529865205287933,
0.011354858055710793,
-0.02311181090772152,
-0.02157445438206196,
-0.005611422471702099,
-0.006598484702408314,
-0.023269884288311005,
0.050172559916973114,
-0.006486125756055117,
-0.003474780358374119,
0.06658496707677841,
-0.03866048902273178,
0.030180342495441437,
0.05702216550707817,
-0.0008079417166300118,
-0.010079577565193176,
-0.015250356867909431,
0.03806976228952408,
0.05101240798830986,
0.0013648809399455786,
-0.05774827301502228,
-0.03807300329208374,
-0.020556094124913216,
0.019430002197623253,
-0.0034632524475455284,
-0.005194336641579866,
-0.0038442991208285093,
-0.01933629997074604,
0.012945706956088543,
-0.046632319688797,
-0.00197425065562129,
-0.007016891613602638,
-0.04923615604639053,
0.01345740631222725,
-0.0013481860514730215,
-0.03138209879398346,
-0.006927451118826866,
-0.025004012510180473,
-0.04019353166222572,
-0.026061292737722397,
-0.023147426545619965,
-0.050236620008945465,
0.04201105237007141,
0.04284809157252312,
-0.004080561455339193,
0.006028785370290279,
-0.03094436042010784,
-0.09070506691932678,
0.002116455463692546,
0.013091618195176125,
0.0055494061671197414,
-0.0174726489931345,
0.023188045248389244,
0.035342615097761154,
-0.017881736159324646,
-0.01755986176431179,
0.007332193199545145,
0.03637920320034027,
0.019764145836234093,
0.010184179060161114,
-0.01351193618029356,
-0.031148847192525864,
-0.0328565277159214,
-0.0369846373796463,
0.03204946964979172,
0.04470371454954147,
-0.021121013909578323,
0.036726731806993484,
0.060602568089962006,
0.032795608043670654,
0.03814193978905678,
0.03680264577269554,
0.032622940838336945,
-0.019231844693422318,
0.010710575617849827,
-0.08592455089092255,
0.024161892011761665,
-0.031069131568074226,
-0.0482870377600193,
-0.025771601125597954,
-0.0482267290353775,
0.016098566353321075,
0.02594354748725891,
0.014170123264193535,
-0.022847553715109825,
-0.01315420400351286,
0.009742075577378273,
0.022265171632170677,
-0.029415510594844818,
-0.01403301302343607,
-0.026716170832514763,
0.03329053148627281,
-0.004189136903733015,
-0.016851522028446198,
-0.04970882087945938,
-0.00573212094604969,
-0.050118766725063324,
-0.0024513870012015104,
-0.019091084599494934,
0.005467833019793034,
0.025839408859610558,
-0.027553334832191467,
0.00861049722880125,
0.0111255357041955,
0.02064167894423008,
0.063067726790905,
-0.030352385714650154,
0.02887224219739437,
0.037446029484272,
-0.04248649626970291,
-0.023780494928359985,
0.020238284021615982,
0.014763260260224342,
0.0007624972495250404,
0.004819630179554224,
-0.034897368401288986,
0.057520460337400436,
0.009445042349398136,
0.041933391243219376,
-0.017266156151890755,
-0.015056178905069828,
-0.011520854197442532,
-0.012048279866576195,
0.0036058705300092697,
0.03763936832547188,
-0.05827970430254936,
0.0027300622314214706,
-0.04951288178563118,
0.020902486518025398,
-0.015805907547473907,
0.013795929960906506,
-0.033459726721048355,
0.02020210772752762,
-0.06345854699611664,
0.03888484463095665,
-0.0009940383024513721,
0.013526792638003826,
-0.018087491393089294,
0.011130024679005146,
0.044256262481212616,
-0.02345646172761917,
0.01493923645466566,
-0.01526307687163353,
0.02321796491742134,
-0.001510943635366857,
-0.06552085280418396,
-0.05504069849848747,
-0.024419205263257027,
-0.028116706758737564,
0.017950698733329773,
0.02441423200070858,
-0.028266577050089836,
-0.05735228210687637,
0.04114436358213425,
-0.017812736332416534,
-0.058374710381031036,
0.012162438593804836,
-0.014637794345617294,
0.06939822435379028,
-0.010089385323226452,
0.000644227082375437,
-0.007028945256024599,
-0.05115792155265808,
-0.009911816567182541,
-0.016873694956302643,
-0.005474961828440428,
0.0057706586085259914,
-0.011647135950624943,
-0.04791387915611267,
-0.050215546041727066,
0.0341583788394928,
-0.006158921867609024,
-0.005068777594715357,
-0.02964949794113636,
-0.024981819093227386,
-0.01868639513850212,
-0.049489252269268036,
-0.04833747819066048,
0.03813248127698898,
-0.0628068819642067,
0.010692587122321129,
0.05972835421562195,
0.021621543914079666,
0.018307877704501152,
-0.07169340550899506,
-0.054563358426094055,
-0.008211123757064342,
-0.029635565355420113,
0.004141620360314846,
-0.016759222373366356,
0.02456865832209587,
-0.02245428040623665,
-0.037143632769584656,
-0.0034789990168064833,
0.046243440359830856,
-0.0119863236322999,
-0.040988411754369736,
0.005263103172183037,
-0.0004252663638908416,
0.050357069820165634,
-0.04148925095796585,
-0.056234147399663925,
0.019299820065498352,
-0.06287627667188644,
0.013588428497314453,
-0.018817631527781487,
0.002383437706157565,
0.023929540067911148,
0.009532954543828964,
-0.031484220176935196,
-0.01761637255549431,
0.06602658331394196,
0.008332986384630203,
-0.050649307668209076,
-0.004584910348057747,
0.010010408237576485,
0.010020637884736061,
-0.011202201247215271,
0.0015068519860506058,
0.04294687882065773,
0.038722630590200424,
0.0031748400069773197,
0.021901771426200867,
0.03893693536520004,
0.00468399515375495,
0.010878577828407288,
-0.03151099011301994,
-0.011326276697218418,
0.08619290590286255,
-0.02915414236485958,
-0.02982785739004612,
-0.05116365849971771,
-0.04183929041028023,
0.050196658819913864,
-0.0372408851981163,
0.015394231304526329,
-0.04084881767630577,
0.033712685108184814,
0.005116090644150972,
0.011503403075039387,
0.018260791897773743,
-0.026762662455439568,
0.03520115837454796,
-0.061138615012168884,
0.012040833942592144,
-0.04918687045574188,
0.022288745269179344,
0.06763350963592529,
-0.03605657443404198,
-0.019943222403526306,
-0.01073901355266571,
-0.07453738152980804,
0.05289597064256668,
0.00814213789999485,
-0.04460350424051285,
0.0060770767740905285,
-0.015414846129715443,
-0.000623800850007683,
0.06831531226634979,
-0.02327665500342846,
-0.021771058440208435,
-0.018881753087043762,
-0.05779992416501045,
0.00025384852779097855,
-0.015721868723630905,
0.05127783119678497,
-0.010515984147787094,
0.01748630590736866,
-0.010267669335007668,
0.004574340768158436,
0.007264498621225357,
0.050894662737846375,
0.009850844740867615,
0.0402861163020134,
-0.03702781721949577,
0.051680658012628555,
0.05702172964811325,
0.05611792951822281,
0.00195518066175282,
0.01027767639607191,
-0.03891101852059364,
-0.04418943077325821,
0.049131568521261215,
0.0036352702882140875,
-0.03898955509066582,
-0.054158080369234085,
0.04907756298780441,
0.0021778761874884367,
-0.056982289999723434,
0.010641052387654781,
-0.003335217945277691,
-0.06967226415872574,
-0.023327698931097984,
0.011179833672940731,
0.023002684116363525,
0.0028122407384216785,
0.06573300063610077,
0.00821785070002079,
0.05075589567422867,
0.061861056834459305,
0.020715322345495224,
-0.03440771996974945,
-0.008705224841833115,
0.05732496455311775,
0.05711476877331734,
0.05995619297027588,
0.011867718771100044,
0.05843927338719368,
-0.03712546452879906,
-0.04395285248756409,
0.010522613301873207,
0.017750196158885956,
0.002596254227682948,
-0.0686408281326294,
0.036315448582172394,
0.07327142357826233,
0.024675099179148674,
0.05419964715838432,
-0.04236745461821556,
0.003573665162548423,
0.0722402036190033,
0.009896652773022652,
0.0019504294032230973,
0.03705880418419838,
0.01065856497734785,
-0.022593630477786064,
-0.035355664789676666,
-0.03579072654247284,
0.010082424618303776,
-0.021876974031329155,
-0.032592084258794785,
0.0026039115618914366,
-0.033510904759168625,
-0.0049669817090034485,
-0.0015490548685193062,
0.05844508484005928,
0.10475116968154907,
-0.042037446051836014,
-0.02847805805504322,
0.011639594100415707,
-0.011798098683357239,
0.029877591878175735,
-0.013990526087582111,
0.05016059800982475,
-0.019956907257437706,
0.024723956361413002,
-0.031408943235874176,
0.0340067557990551,
0.04937419295310974,
0.0005698390305042267,
0.01353797223418951,
-0.02741294726729393,
-0.029667049646377563,
0.04226218909025192,
0.04502185434103012,
-0.077293761074543,
-0.026209263131022453,
0.008916656486690044,
-0.0529322549700737,
-0.0301975104957819,
-0.03906990960240364,
0.019144555553793907,
-0.015157582238316536,
-0.03870948776602745,
-0.011439675465226173,
-0.0015915663680061698,
0.013338757678866386,
0.014632115140557289,
-0.06586232036352158,
-0.005074015352874994,
0.04794483631849289,
0.014510988257825375,
0.015692392364144325,
0.01640116423368454,
-0.0033331261947751045,
-0.004937741439789534,
-0.03914429619908333,
0.010607744567096233,
0.0034786739852279425,
-0.008439386263489723,
-0.00029374597943387926,
-0.0015783562557771802,
-0.08692608773708344,
-0.006553225684911013,
0.00017732480773702264,
-0.04583921656012535,
-0.058645691722631454,
0.03254585713148117,
-0.032590508460998535,
0.04729972779750824,
0.08823177218437195,
0.05201651155948639,
0.013835369609296322,
-0.04556315019726753,
0.015475649386644363,
0.04082944244146347,
0.013601160608232021,
0.03002433106303215,
-0.042807985097169876,
0.07056275755167007,
0.0303430687636137,
-0.03578998148441315,
-0.06429222971200943,
0.030974339693784714,
0.01770901307463646,
-0.04553370922803879,
-0.0026174713857471943,
-0.02900327369570732,
-0.004641648847609758,
-0.08040250092744827,
-0.02441553771495819,
0.02846144698560238,
-0.013251430355012417,
-0.037082064896821976,
-0.01717691868543625,
-0.029806355014443398,
-0.0352134108543396,
-0.01632930338382721,
-0.034689608961343765,
0.010268611833453178,
-0.012035435996949673,
-0.015218017622828484,
-0.033759843558073044,
0.030247699469327927,
-0.019878076389431953,
0.007351012900471687,
-0.05015842616558075,
-0.056573279201984406,
-0.030812574550509453,
0.02232501469552517,
0.015307141467928886,
0.017701659351587296,
0.013505028560757637,
-0.041922930628061295
] | null |
578 |
Adaptive Sample Sharing for Multi Agent Linear Bandits
|
https://openreview.net/forum?id=qQBzVFwtPN
|
[
"Hamza Cherkaoui",
"Merwan Barlier",
"Igor Colin"
] |
Poster
|
The multi-agent linear bandit setting is a well-known setting for which designing efficient collaboration between agents remains challenging. This paper studies the impact of data sharing among agents on regret minimization. Unlike most existing approaches, our contribution does not rely on any assumptions on the bandit parameters structure. Our main result formalizes the trade-off between the bias and uncertainty of the bandit parameter estimation for efficient collaboration. This result is the cornerstone of the Bandit Adaptive Sample Sharing (BASS) algorithm, whose efficiency over the current state-of-the-art is validated through both theoretical analysis and empirical evaluations on both synthetic and real-world datasets. Furthermore, we demonstrate that, when agents' parameters display a cluster structure, our algorithm accurately recovers them.
|
linear bandit, collaboration, sample sharing
|
This paper addresses the agent collaboration in linear bandit problems via sample sharing, deriving an effective bias-variance trade-off for regret minimization.
| 12,916 |
2309.08710
|
[
-0.0034282836131751537,
-0.031046567484736443,
0.002736795460805297,
0.04581902176141739,
0.04819405451416969,
0.01486288569867611,
0.03471117094159126,
0.010723005048930645,
-0.02221895195543766,
-0.08386363834142685,
-0.016887124627828598,
-0.011246168985962868,
-0.08646213263273239,
-0.019592856988310814,
-0.014061138965189457,
0.06851861625909805,
0.04350121319293976,
0.0012685010442510247,
0.0008402400999329984,
0.019110923632979393,
-0.0007193931378424168,
0.02173778787255287,
0.053717631846666336,
0.0385558195412159,
0.03622790798544884,
0.007678373716771603,
0.06780833750963211,
0.014988528564572334,
-0.016630101948976517,
-0.016870422288775444,
0.03549646958708763,
-0.018485816195607185,
0.03874808922410011,
-0.03282000496983528,
0.0039018921088427305,
0.011695467866957188,
-0.013134070672094822,
0.00785535667091608,
0.01161066722124815,
0.016784481704235077,
-0.060215044766664505,
0.023289017379283905,
-0.04871229827404022,
0.0292176716029644,
-0.024036439135670662,
-0.0039055601228028536,
-0.05278508737683296,
0.02510986290872097,
0.02160211093723774,
-0.015217246487736702,
-0.07386911660432816,
0.034522347152233124,
0.03560257703065872,
-0.013574700802564621,
-0.027005162090063095,
0.03138795495033264,
0.056368280202150345,
-0.08638954907655716,
0.006188516039401293,
-0.04774175584316254,
-0.045246340334415436,
0.013619446195662022,
0.029439130797982216,
0.014846816658973694,
-0.010295487008988857,
-0.012107581831514835,
0.05194484069943428,
0.06211968511343002,
-0.009340592660009861,
-0.015513264574110508,
-0.011146488599479198,
-0.018039608374238014,
-0.032220881432294846,
-0.011265832930803299,
0.009800830855965614,
-0.05559993535280228,
0.034645650535821915,
0.032186347991228104,
0.04696674272418022,
0.034744419157505035,
0.005597771145403385,
0.019406381994485855,
0.019051073119044304,
0.03333647549152374,
0.012042398564517498,
-0.02173440158367157,
-0.026522992178797722,
-0.03076990880072117,
-0.07446981966495514,
0.02126818150281906,
-0.05863232538104057,
-0.07721538096666336,
0.017933307215571404,
0.03156780079007149,
0.01785399578511715,
-0.03670684993267059,
0.02441691979765892,
0.022235481068491936,
0.03470878303050995,
-0.020709877833724022,
-0.024978268891572952,
-0.011366590857505798,
-0.006127981934696436,
0.01605547033250332,
-0.1059480607509613,
0.0009860281134024262,
-0.005673462990671396,
-0.022968139499425888,
-0.03054262511432171,
0.015322244726121426,
-0.0040131486020982265,
-0.028030401095747948,
0.0071834600530564785,
-0.04083075001835823,
-0.0779574066400528,
0.04261302202939987,
0.020128099247813225,
0.05496480315923691,
-0.03329196944832802,
-0.016329200938344002,
0.03746257722377777,
0.06872854381799698,
-0.014660471118986607,
0.0871160477399826,
-0.00906017143279314,
-0.016073888167738914,
0.05076058954000473,
0.013458619825541973,
-0.022288091480731964,
-0.04484553635120392,
0.031350523233413696,
0.04059268906712532,
-0.024644969031214714,
0.005329068284481764,
-0.03361082077026367,
-0.023257233202457428,
-0.0031171157024800777,
0.024115927517414093,
0.028337469324469566,
-0.0023049672599881887,
-0.007132912054657936,
-0.015901466831564903,
0.051380954682826996,
-0.0004105195985175669,
0.04631757736206055,
-0.008074461482465267,
0.03096785396337509,
-0.03976175934076309,
-0.07024036347866058,
-0.024700531736016273,
0.025734255090355873,
-0.018709292635321617,
0.007712043356150389,
-0.047397274523973465,
0.01699414849281311,
0.06311128288507462,
0.02013077773153782,
0.024746282026171684,
-0.03097119741141796,
0.0369279608130455,
0.03739294782280922,
-0.005114162806421518,
-0.01380930095911026,
-0.03731180727481842,
-0.00749171432107687,
-0.06567203998565674,
0.05230167880654335,
0.038310084491968155,
-0.001994202146306634,
-0.0096537284553051,
-0.036471858620643616,
0.0030185221694409847,
0.031431492418050766,
-0.00863350834697485,
0.005141368601471186,
0.00856847409158945,
0.05543918535113335,
0.01798911951482296,
0.04068027809262276,
0.029272738844156265,
-0.08766236901283264,
0.005154718179255724,
0.004898724611848593,
0.007974939420819283,
0.023738985881209373,
0.010679792612791061,
0.06220091134309769,
0.00539881968870759,
0.010579903610050678,
0.010551996529102325,
-0.07221441715955734,
-0.016756273806095123,
0.03674384579062462,
-0.006178011652082205,
0.0529169924557209,
-0.026490986347198486,
-0.005487293936312199,
0.014686153270304203,
0.04422321915626526,
-0.0016903182258829474,
0.03763672709465027,
-0.013088746927678585,
0.01970026083290577,
0.013616061769425869,
-0.041514478623867035,
-0.0036915044765919447,
0.05184762924909592,
-0.05412691459059715,
-0.038537029176950455,
0.038482099771499634,
-0.015598843805491924,
0.05013015866279602,
-0.006680905818939209,
-0.012966679409146309,
0.034928131848573685,
-0.010634145699441433,
-0.02214932255446911,
0.0005673436680808663,
0.03528023138642311,
-0.058220431208610535,
0.012700503692030907,
0.0030174311250448227,
-0.051148634403944016,
0.027002327144145966,
-0.007097195368260145,
0.10748745501041412,
0.04168537259101868,
-0.034506186842918396,
-0.0003691914607770741,
-0.003590465523302555,
-0.0033754154574126005,
0.020484190434217453,
0.016808630898594856,
-0.028881747275590897,
0.01964065432548523,
0.00994573812931776,
-0.03596385940909386,
-0.03423755243420601,
0.05200470611453056,
-0.047771308571100235,
-0.0009483215399086475,
0.07198604941368103,
-0.001628687372431159,
0.07760975509881973,
-0.014656396582722664,
-0.00828792154788971,
0.01826537773013115,
0.0072716656140983105,
0.019262177869677544,
-0.022211089730262756,
-0.011990880593657494,
-0.014760355465114117,
0.018117116764187813,
-0.02515684999525547,
0.011635827831923962,
-0.07360206544399261,
0.02938489057123661,
-0.008410717360675335,
0.09194499999284744,
0.04269739240407944,
0.026956312358379364,
0.020549580454826355,
-0.01685887761414051,
-0.03311372920870781,
-0.007665564771741629,
-0.12603729963302612,
-0.06936269253492355,
0.019099920988082886,
0.03210930526256561,
0.037267379462718964,
0.041142743080854416,
-0.02016337960958481,
0.039972998201847076,
-0.00859859585762024,
-0.02233315259218216,
0.0030757335480302572,
0.031111137941479683,
0.020847458392381668,
-0.009744470939040184,
-0.018191242590546608,
0.022135065868496895,
0.07193665951490402,
0.014415794983506203,
-0.03299602121114731,
-0.015325287356972694,
-0.03834556043148041,
-0.011845829896628857,
-0.0023502048570662737,
-0.01824008859694004,
-0.0023827110417187214,
-0.013377443887293339,
0.05259892717003822,
-0.023231031373143196,
0.0032474519684910774,
0.026887118816375732,
0.06428786367177963,
0.006516408175230026,
0.028613843023777008,
0.01293150894343853,
-0.010747701860964298,
0.0017310540424659848,
-0.020983457565307617,
-0.007181865628808737,
-0.02929496206343174,
-0.012040834873914719,
-0.04958450049161911,
0.028776144608855247,
0.003479018807411194,
-0.24543143808841705,
-0.035073935985565186,
0.005364296026527882,
0.02614765800535679,
0.031079238280653954,
-0.027081947773694992,
0.06597908586263657,
-0.023048527538776398,
-0.03186331316828728,
0.033795084804296494,
0.004921735264360905,
0.03711480274796486,
0.018991103395819664,
0.038352299481630325,
0.04622294753789902,
0.027027281001210213,
-0.03491731360554695,
0.0037180702202022076,
0.014196517877280712,
0.014117876067757607,
-0.009828481823205948,
-0.07411105185747147,
-0.017586179077625275,
0.017689820379018784,
-0.004312974866479635,
0.0813717246055603,
-0.05164257436990738,
-0.0047586834989488125,
-0.02203868329524994,
0.004010993987321854,
-0.030788002535700798,
-0.03710006922483444,
-0.030917203053832054,
0.016272516921162605,
0.019167443737387657,
-0.010920870117843151,
0.04724700003862381,
-0.01261716429144144,
0.02937140315771103,
0.002594998572021723,
-0.020056715235114098,
0.015982618555426598,
-0.023266391828656197,
-0.00394394900649786,
0.03832414373755455,
0.04339326545596123,
-0.03058250993490219,
0.0010052960133180022,
-0.023723524063825607,
0.022475486621260643,
0.014823018573224545,
-0.037366658449172974,
-0.0005585475591942668,
0.0047562918625772,
-0.01114863995462656,
-0.05417740345001221,
-0.029550880193710327,
-0.02111445553600788,
0.010214773006737232,
0.0472920723259449,
0.02323560044169426,
-0.06529552489519119,
-0.016604969277977943,
-0.01506277360022068,
-0.005478672217577696,
-0.04022904112935066,
-0.041732605546712875,
-0.07294870167970657,
0.04558422788977623,
0.008382553234696388,
0.008174819871783257,
-0.010291028767824173,
-0.011058430187404156,
-0.11064338684082031,
0.011924509890377522,
0.015486722812056541,
0.012380633503198624,
0.028965039178729057,
0.018399490043520927,
0.08752713352441788,
-0.03746083378791809,
-0.029775338247418404,
0.010543067008256912,
-0.029996903613209724,
0.029916949570178986,
-0.0160369835793972,
0.008481708355247974,
-0.016979368403553963,
-0.04591767117381096,
-0.0363989993929863,
0.01915007084608078,
0.02106872759759426,
0.02723120152950287,
-0.0024275381583720446,
0.06478115916252136,
0.05985786020755768,
0.04210711270570755,
0.05364971607923508,
0.03126632049679756,
0.024015994742512703,
0.03673870861530304,
-0.08227284252643585,
-0.010907826945185661,
-0.05534150451421738,
-0.00887125451117754,
0.022469470277428627,
-0.06125566363334656,
0.008938870392739773,
0.04097253456711769,
-0.01896543800830841,
-0.002695984672755003,
-0.03278057649731636,
-0.005731570068746805,
-0.03306405991315842,
-0.004085902590304613,
-0.051615215837955475,
-0.0000939076126087457,
0.05108540505170822,
0.012898201122879982,
-0.011733362451195717,
-0.053193941712379456,
0.01987171731889248,
-0.0016561371739953756,
0.029951361939311028,
0.0044765472412109375,
0.007352926768362522,
-0.010525127872824669,
-0.010017277672886848,
0.015924258157610893,
-0.017183786258101463,
0.0398312546312809,
0.05661865696310997,
-0.01045826356858015,
-0.010251915082335472,
0.05110636726021767,
0.00407253997400403,
-0.04272283613681793,
-0.014652452431619167,
0.0410434789955616,
-0.035486478358507156,
0.023387594148516655,
0.002373578492552042,
0.014874408952891827,
0.017325695604085922,
0.016977563500404358,
0.0026165612507611513,
0.014507736079394817,
-0.014721586368978024,
-0.005540400743484497,
-0.014614465646445751,
0.004471878055483103,
-0.028086796402931213,
0.022627992555499077,
0.011369091458618641,
0.025441035628318787,
-0.022598419338464737,
0.024624543264508247,
-0.014025741256773472,
-0.00045220012543722987,
-0.07116292417049408,
0.0116013428196311,
-0.036729056388139725,
-0.015329207293689251,
0.011553213931620121,
0.011528218165040016,
0.08300597965717316,
-0.04354298487305641,
-0.018690574914216995,
-0.007720006629824638,
0.006548980716615915,
0.014008082449436188,
-0.053360458463430405,
-0.02959287539124489,
-0.03474242612719536,
-0.009200644679367542,
-0.010878274217247963,
0.020188143476843834,
-0.006362191401422024,
-0.057049818336963654,
0.009735049679875374,
-0.007360802963376045,
-0.017764778807759285,
-0.0029891510494053364,
-0.009729818440973759,
0.0805387869477272,
-0.008425543084740639,
0.023302264511585236,
-0.012214766815304756,
-0.020858371630311012,
0.011191255412995815,
-0.024569176137447357,
0.020097674801945686,
-0.0294111929833889,
-0.0515427365899086,
-0.010316655039787292,
-0.03512853756546974,
0.009356009773910046,
0.005546294152736664,
-0.019305279478430748,
-0.008687352761626244,
0.016193829476833344,
0.014415936544537544,
-0.0156636293977499,
-0.0020360734779387712,
0.029920822009444237,
-0.06625485420227051,
0.014658992178738117,
0.03094283677637577,
-0.03832578286528587,
0.036546435207128525,
-0.05907241627573967,
-0.03648959472775459,
-0.02508462406694889,
0.023690979927778244,
0.025664908811450005,
-0.025084184482693672,
-0.0319647341966629,
-0.0010238015092909336,
-0.015496459789574146,
-0.0037796301767230034,
0.003730145050212741,
-0.04072185605764389,
-0.008104262873530388,
-0.011212998069822788,
-0.0110756391659379,
0.05871492251753807,
-0.024871403351426125,
-0.025220399722456932,
0.008499197661876678,
0.004041626583784819,
0.018466079607605934,
-0.07321597635746002,
0.00003275249036960304,
0.020870238542556763,
0.0018770139431580901,
0.03623362258076668,
-0.07044745981693268,
0.03531086817383766,
-0.039834920316934586,
-0.058149658143520355,
-0.038103412836790085,
0.02621227130293846,
-0.03427537903189659,
-0.008564802818000317,
0.007965114898979664,
0.010307563468813896,
0.0096727991476655,
0.011617395095527172,
0.027817800641059875,
0.006937311962246895,
0.016038518399000168,
-0.008027044124901295,
-0.0270190741866827,
0.017778759822249413,
0.040960438549518585,
-0.010880554094910622,
-0.017167413607239723,
-0.029777148738503456,
-0.028277626261115074,
0.006794450804591179,
-0.032409586012363434,
0.02143288031220436,
-0.03690784052014351,
0.028092171996831894,
0.007669640704989433,
0.01655588671565056,
0.020708931609988213,
-0.03676067292690277,
0.005731565877795219,
-0.0836300179362297,
0.005630160681903362,
-0.0798921212553978,
0.01631431095302105,
0.03628062084317207,
-0.008479452691972256,
0.05464624613523483,
0.0380433015525341,
-0.03448602929711342,
0.01926288940012455,
-0.049072880297899246,
-0.0643046423792839,
0.018012434244155884,
-0.028583405539393425,
-0.019033752381801605,
0.0892845168709755,
-0.05971577763557434,
-0.04845719039440155,
-0.00986043456941843,
-0.04074142500758171,
-0.009876249358057976,
0.0017215503612533212,
0.05682813376188278,
-0.01994423009455204,
0.010238959453999996,
-0.04434724897146225,
0.007297995500266552,
0.028211945667862892,
0.024870896711945534,
0.018107973039150238,
0.031000128015875816,
-0.03366238623857498,
0.036852650344371796,
0.03622395172715187,
0.020575951784849167,
0.033400118350982666,
0.019869646057486534,
-0.026782631874084473,
-0.008873069658875465,
0.06398451328277588,
-0.006336131598800421,
-0.03335677832365036,
-0.07518082857131958,
0.04987063258886337,
0.032660532742738724,
-0.0679519847035408,
-0.036096423864364624,
0.02477634884417057,
-0.07468678057193756,
0.039639029651880264,
-0.005668089725077152,
-0.004775824956595898,
0.016732167452573776,
0.053333427757024765,
0.02373918890953064,
0.04197150468826294,
0.034066341817379,
0.027653465047478676,
-0.009604115039110184,
-0.007346655707806349,
0.07835663855075836,
0.08039683103561401,
0.0658494085073471,
-0.014518837444484234,
0.06371033936738968,
-0.06503932178020477,
-0.06416723877191544,
0.031266339123249054,
-0.01646319031715393,
-0.01855873316526413,
0.007213184144347906,
-0.02158227749168873,
0.03659842908382416,
-0.012162802740931511,
0.057093895971775055,
-0.044171445071697235,
-0.03208635002374649,
0.040345825254917145,
-0.011455537751317024,
0.038103681057691574,
0.029096998274326324,
0.020044440403580666,
0.028229987248778343,
-0.03460109233856201,
-0.027636827901005745,
0.0252052154392004,
-0.006211055908352137,
0.04009992629289627,
0.023890532553195953,
-0.019078440964221954,
0.01827162317931652,
0.03299057483673096,
0.020315229892730713,
0.08483345061540604,
-0.038989052176475525,
-0.030162561684846878,
-0.00440672691911459,
0.008379126898944378,
-0.009513636119663715,
0.04182153567671776,
0.03972383216023445,
-0.022993816062808037,
0.030601056292653084,
-0.040173668414354324,
0.02365362085402012,
0.04727644473314285,
0.0010915989987552166,
0.019536959007382393,
-0.034655384719371796,
0.01333275344222784,
0.01521490328013897,
0.026718413457274437,
-0.0428883396089077,
-0.02774086222052574,
-0.021094461902976036,
-0.048966336995363235,
-0.06066979840397835,
-0.029532695189118385,
0.023993870243430138,
0.02243894338607788,
-0.06113395467400551,
0.017151009291410446,
-0.028470195829868317,
-0.004652947653084993,
-0.011428117752075195,
-0.0634617730975151,
-0.058407012373209,
0.03438359871506691,
0.04669322818517685,
0.03430910408496857,
0.012177661992609501,
0.025187863036990166,
-0.013856242410838604,
-0.04346313327550888,
0.015353262424468994,
0.03530252352356911,
0.02611505798995495,
-0.03032689355313778,
-0.02331407368183136,
-0.09020187705755234,
0.0052801622077822685,
0.05321482941508293,
-0.04269691929221153,
-0.08193622529506683,
0.028202610090374947,
-0.046173349022865295,
0.010355639271438122,
0.04775536432862282,
-0.005035227630287409,
-0.0004458434705156833,
-0.02881167270243168,
0.0017839785432443023,
0.00830395519733429,
-0.006206751335412264,
0.02023284137248993,
-0.027986783534288406,
0.05981341376900673,
0.0336654931306839,
-0.052916549146175385,
-0.06858984380960464,
0.06426027417182922,
0.024534769356250763,
-0.01120520755648613,
-0.013148719444870949,
-0.03698818013072014,
-0.002321185078471899,
-0.1049572005867958,
-0.021224603056907654,
0.04989118129014969,
0.01767151430249214,
-0.025391150265932083,
0.008531870320439339,
0.023784954100847244,
-0.026255492120981216,
0.01385097298771143,
-0.034792643040418625,
0.018036819994449615,
-0.04479436203837395,
-0.01808522269129753,
-0.06918048113584518,
0.03888549655675888,
-0.05898025259375572,
-0.003247033106163144,
-0.041226889938116074,
-0.0524786151945591,
-0.02843383327126503,
0.002702735597267747,
0.012676249258220196,
0.011360980570316315,
-0.010847789235413074,
0.00980586837977171
] |
https://github.com/hcherkaoui/collaborative_bandits
|
579 |
Geometric Contact Flows: Contactomorphisms for Dynamics and Control
|
https://openreview.net/forum?id=v2nQ1e78Rc
|
[
"Andrea Testa",
"Søren Hauberg",
"Tamim Asfour",
"Leonel Rozo"
] |
Poster
|
Accurately modeling and predicting complex dynamical systems, particularly those involving force exchange and dissipation, is crucial for applications ranging from fluid dynamics to robotics, but presents significant challenges due to the intricate interplay of geometric constraints and energy transfer. This paper introduces Geometric Contact Flows (GFC), a novel framework leveraging Riemannian and Contact geometry as inductive biases to learn such systems. GCF constructs a latent contact Hamiltonian model encoding desirable properties like stability or energy conservation. An ensemble of contactomorphisms then adapts this model to the target dynamics while preserving these properties. This ensemble allows for uncertainty-aware geodesics that attract the system’s behavior toward the data support, enabling robust generalization and adaptation to unseen scenarios. Experiments on learning dynamics for physical systems and for controlling robots on interaction tasks demonstrate the effectiveness of our approach.
|
Contact geometry, Riemannian geometry, contact Hamiltonian dynamics, Dynamical systems, Diffeomorphisms
|
Leveraging Riemannian and Contact geometry as inductive biases to learn and control complex dynamical systems.
| 12,913 |
2506.17868
|
[
-0.02555449679493904,
0.0019926412496715784,
0.018838243559002876,
0.040833309292793274,
0.004826306365430355,
0.037986114621162415,
-0.0007757844286970794,
0.028136132284998894,
-0.020298073068261147,
-0.05950230360031128,
0.0080396868288517,
-0.027991876006126404,
-0.07749900966882706,
0.004660982638597488,
0.020462261512875557,
0.04274420812726021,
0.014592122286558151,
-0.006601689383387566,
0.004052859265357256,
0.03322552144527435,
-0.036222536116838455,
-0.010026101022958755,
0.055586181581020355,
0.008495867252349854,
0.07261992990970612,
0.0031548936385661364,
0.017373183742165565,
0.030510036274790764,
0.011542734690010548,
0.015365608036518097,
0.011490662582218647,
0.034237656742334366,
0.0008760598720982671,
-0.06650300323963165,
-0.0029167577158659697,
-0.038297154009342194,
-0.03447076305747032,
0.0035174009390175343,
0.007606504485011101,
-0.0012389494804665446,
-0.011329586617648602,
0.019680267199873924,
-0.02532256953418255,
-0.002428592648357153,
0.006424720864742994,
0.05792122706770897,
-0.0931311771273613,
0.0451853908598423,
0.013274739496409893,
-0.06361491233110428,
-0.06800206750631332,
0.019678641110658646,
0.017285436391830444,
-0.002062767744064331,
-0.027002817019820213,
0.01729956828057766,
0.03921136632561684,
-0.04610786214470863,
-0.0021481045987457037,
-0.05316874757409096,
-0.014244088903069496,
0.041718143969774246,
0.02151566743850708,
0.0005313394358381629,
-0.0008824160322546959,
0.03217775747179985,
0.005255725234746933,
0.047018345445394516,
-0.02955462783575058,
-0.003550804452970624,
-0.0010808297665789723,
0.0073203444480896,
0.04665651172399521,
0.03136793151497841,
0.01871495507657528,
-0.04685068130493164,
0.008186832070350647,
0.022351911291480064,
0.06263652443885803,
-0.00048282803618349135,
0.027578728273510933,
0.01458502747118473,
-0.012521147727966309,
0.030325734987854958,
-0.0061029354110360146,
0.006626395042985678,
-0.051930759102106094,
0.0165716540068388,
-0.04203060269355774,
0.060587089508771896,
-0.04454649239778519,
-0.05246301367878914,
-0.00958093162626028,
0.0422542504966259,
0.03737423196434975,
-0.0337044820189476,
0.03779108449816704,
0.00023060217790771276,
0.023070821538567543,
0.011924952268600464,
-0.028964390978217125,
-0.03523937985301018,
-0.012381073087453842,
-0.0012431424111127853,
-0.08532991260290146,
-0.04399877041578293,
-0.03365927189588547,
-0.020010394975543022,
-0.001091705751605332,
-0.010282862931489944,
-0.035845767706632614,
-0.02237759158015251,
0.008700479753315449,
-0.04077908396720886,
-0.05140480399131775,
0.05637592822313309,
0.007666103541851044,
0.004552146885544062,
0.0023405614774674177,
0.015826424583792686,
0.06886223703622818,
0.026889577507972717,
-0.006914928555488586,
0.047978099435567856,
0.0029450540896505117,
0.018161077052354813,
-0.014312909916043282,
0.009635742753744125,
-0.03737590089440346,
-0.06385540962219238,
0.0320785790681839,
0.03562398627400398,
0.03139842301607132,
-0.04598553851246834,
0.024785906076431274,
-0.03439703956246376,
0.0005920920521020889,
0.055239204317331314,
-0.012842549942433834,
0.028409045189619064,
0.0058195204474031925,
-0.017042353749275208,
0.035856135189533234,
-0.04793130233883858,
0.06426150351762772,
-0.02038869634270668,
0.0014888681471347809,
-0.034137312322854996,
-0.032749902456998825,
0.013299440033733845,
-0.03029325045645237,
0.005491485353559256,
-0.02882782369852066,
-0.050916723906993866,
0.002525355201214552,
0.018331438302993774,
0.007906045764684677,
0.0336667038500309,
0.004671039991080761,
-0.030045920982956886,
-0.003102492308244109,
0.005224153865128756,
0.001562865567393601,
0.008130481466650963,
0.011909947730600834,
-0.07208240777254105,
0.053252171725034714,
0.02130441553890705,
-0.032614629715681076,
-0.003215270582586527,
-0.04108015075325966,
-0.01778080314397812,
0.03140391409397125,
-0.017410660162568092,
-0.005656151566654444,
-0.016903862357139587,
0.06146460026502609,
-0.03585406020283699,
0.02756747603416443,
0.010795888490974903,
-0.06680695712566376,
0.01373646967113018,
0.020769281312823296,
-0.030363183468580246,
0.013243764638900757,
-0.03903495892882347,
0.07589646428823471,
-0.017964275553822517,
-0.027344999834895134,
-0.00710830744355917,
-0.0470661036670208,
-0.025698088109493256,
0.012213780544698238,
-0.0033216183073818684,
0.055328380316495895,
0.01852102391421795,
0.004858226049691439,
0.05000852420926094,
0.006658949889242649,
0.06029447168111801,
0.01684027723968029,
-0.01101698912680149,
0.04662654548883438,
-0.003607988590374589,
-0.008713359013199806,
-0.057073455303907394,
0.050798606127500534,
-0.04488024115562439,
-0.026244500651955605,
0.017041612416505814,
-0.019515788182616234,
0.0016930418787524104,
0.02397260069847107,
-0.02662651240825653,
0.0038181408308446407,
-0.0038277357816696167,
-0.008400153368711472,
0.018152745440602303,
-0.01031102892011404,
-0.021915748715400696,
0.01953546330332756,
0.03221246600151062,
-0.013980870135128498,
0.007219843100756407,
-0.0376693457365036,
0.0979156643152237,
0.10280491411685944,
-0.0069274744018912315,
-0.015130859799683094,
0.028389304876327515,
0.01817619800567627,
-0.003834735369309783,
0.01582883484661579,
-0.04108147323131561,
-0.0012577652232721448,
0.01785471849143505,
0.02123478800058365,
-0.04758402332663536,
0.049242738634347916,
-0.04818463325500488,
-0.05325484275817871,
0.07430248707532883,
-0.0031394099351018667,
0.05912137031555176,
-0.0022514578886330128,
0.03644220158457756,
0.06386405974626541,
-0.0030047674663364887,
-0.008069274947047234,
-0.022501252591609955,
-0.04464881867170334,
-0.007140461355447769,
0.01070866547524929,
-0.00228051096200943,
0.008617030456662178,
-0.05681850016117096,
-0.004966475069522858,
-0.0049529611133039,
0.06773672997951508,
0.058174293488264084,
0.03774944692850113,
-0.01558658480644226,
-0.019502881914377213,
-0.021574717015028,
-0.06984499841928482,
-0.12375392019748688,
-0.00562312500551343,
-0.0007629924803040922,
0.015469878911972046,
0.026052182540297508,
0.03354742377996445,
-0.009569148533046246,
0.08153322339057922,
-0.0411435104906559,
-0.025687366724014282,
0.03874681144952774,
0.02112771011888981,
0.01720389723777771,
-0.04769301041960716,
-0.038372769951820374,
0.014804337173700333,
0.053445033729076385,
-0.01767987571656704,
-0.021905332803726196,
0.008905366994440556,
-0.01996130682528019,
0.023571763187646866,
-0.029086444526910782,
-0.005663832649588585,
0.012252398766577244,
0.021238936111330986,
-0.03922503814101219,
-0.0500003956258297,
0.024125896394252777,
0.002679470693692565,
0.05806395038962364,
0.03528524562716484,
-0.006059835199266672,
-0.041796691715717316,
0.019342130050063133,
-0.004584623966366053,
0.033034924417734146,
-0.024209603667259216,
0.006854499224573374,
-0.03113423101603985,
0.0023568973410874605,
-0.01336943730711937,
0.021951599046587944,
-0.2727643847465515,
-0.03679355978965759,
0.03740613907575607,
0.008137638680636883,
0.016098223626613617,
0.0695822685956955,
0.07426460832357407,
-0.030185898765921593,
-0.048827026039361954,
0.00922961626201868,
0.002382899634540081,
0.033806052058935165,
-0.0044601005502045155,
0.06539303809404373,
0.036915019154548645,
0.027349049225449562,
-0.012920962646603584,
-0.04472265765070915,
-0.01269267313182354,
0.006573536433279514,
-0.06484269350767136,
-0.0420217290520668,
-0.04384554922580719,
-0.0335259884595871,
-0.029132533818483353,
-0.012752538546919823,
-0.0665554329752922,
-0.04628331586718559,
-0.051828641444444656,
0.01972021907567978,
-0.028950287029147148,
0.002471473067998886,
-0.012975710444152355,
0.007908188737928867,
0.03453340381383896,
-0.016512615606188774,
0.03971032053232193,
-0.002322208834812045,
0.05597275123000145,
-0.008624354377388954,
-0.006480237934738398,
0.01562967523932457,
-0.047696683555841446,
0.043295908719301224,
0.07323066890239716,
-0.013464639894664288,
0.000533734739292413,
0.011892108246684074,
-0.019786765798926353,
0.03159584850072861,
0.025805262848734856,
-0.021184002980589867,
0.005844661500304937,
-0.01431811973452568,
0.04288434982299805,
-0.008779503405094147,
0.004509547725319862,
0.0024111964739859104,
-0.02419411577284336,
0.03306819871068001,
0.004885895177721977,
-0.03983775153756142,
-0.020325997844338417,
-0.03930452838540077,
0.004287968389689922,
-0.05518157780170441,
-0.08161438256502151,
-0.027459766715765,
0.03415064141154289,
0.032435428351163864,
-0.00440638093277812,
0.04856597259640694,
-0.031117232516407967,
-0.09996587783098221,
0.010509748943150043,
0.0009132283739745617,
0.018412332981824875,
-0.07512269914150238,
0.03780197352170944,
0.0020812407601624727,
-0.05652700364589691,
-0.043852780014276505,
-0.030216841027140617,
0.050145991146564484,
0.009686530567705631,
-0.00876475777477026,
0.024052156135439873,
-0.0596424825489521,
-0.02865598537027836,
-0.020245276391506195,
0.025892077013850212,
-0.008833923377096653,
0.04376400262117386,
-0.01020053680986166,
0.05855097249150276,
-0.0012214186135679483,
0.020605172961950302,
0.017049239948391914,
0.0459468849003315,
-0.0009186827228404582,
0.025176970288157463,
-0.08012205362319946,
0.004287690855562687,
-0.01571156270802021,
-0.013885059393942356,
-0.0018182004569098353,
-0.04519878700375557,
0.006293668877333403,
0.06033205986022949,
0.04348409175872803,
0.006779287476092577,
-0.03462702035903931,
0.03849217668175697,
-0.023708093911409378,
-0.04099879041314125,
-0.006740902084857225,
0.0031828805804252625,
0.03111286088824272,
0.0514947846531868,
-0.0011732010170817375,
-0.05682835727930069,
0.05756813660264015,
-0.020126156508922577,
0.02248138189315796,
-0.00602797232568264,
0.012356328777968884,
-0.020414195954799652,
-0.020103400573134422,
0.015334947034716606,
0.0020137643441557884,
-0.0046994853764772415,
0.045393362641334534,
0.0156596340239048,
0.010593568906188011,
0.040168166160583496,
0.04323553293943405,
-0.022070204839110374,
-0.0150190070271492,
0.010837060399353504,
-0.026142757385969162,
0.008806771598756313,
0.02263041026890278,
0.03630571439862251,
0.0006765188300050795,
0.059459537267684937,
0.038703422993421555,
0.017535801976919174,
0.014520719647407532,
0.0337703563272953,
-0.004769115708768368,
0.03249206766486168,
-0.046487342566251755,
-0.0035243076272308826,
-0.044975996017456055,
0.01854448765516281,
-0.024025294929742813,
0.0275029968470335,
-0.002303112531080842,
0.04250287264585495,
-0.03629683703184128,
0.03790565952658653,
0.03191016986966133,
-0.04573476314544678,
-0.012968668714165688,
0.013204952701926231,
0.07877664268016815,
-0.05035920813679695,
-0.023281827569007874,
0.023173976689577103,
-0.01004934124648571,
0.008445147424936295,
-0.04415605962276459,
-0.03786146640777588,
-0.02736491523683071,
-0.01619790866971016,
0.020374026149511337,
-0.012743605300784111,
-0.05444297567009926,
-0.018029367551207542,
-0.008141925558447838,
-0.008231357671320438,
-0.023657139390707016,
0.006071549374610186,
-0.00826855469495058,
0.0370478592813015,
-0.011140934191644192,
-0.0006138983881101012,
-0.022616779431700706,
-0.003938764799386263,
0.03242473676800728,
0.03288009390234947,
0.03006664663553238,
-0.05075027421116829,
-0.026647159829735756,
-0.01894431561231613,
-0.06015783175826073,
0.03309256210923195,
0.032125670462846756,
-0.025968970730900764,
0.000036952456866856664,
0.007463449612259865,
0.046168889850378036,
-0.04696989804506302,
0.06562282145023346,
0.0247410386800766,
-0.03381090611219406,
0.0017800811911001801,
0.015666740015149117,
0.026393642649054527,
0.013054640963673592,
-0.03988270089030266,
-0.023014195263385773,
-0.05757695063948631,
-0.02832765132188797,
-0.006254631094634533,
-0.00029937209910713136,
-0.011583438143134117,
-0.050218366086483,
-0.02392728440463543,
-0.005459379404783249,
-0.005558156408369541,
0.011630730703473091,
-0.017873741686344147,
-0.05231110751628876,
0.03539690747857094,
0.04573947191238403,
0.0022019094321876764,
-0.02507954090833664,
0.0022721842397004366,
-0.024014875292778015,
-0.011584377847611904,
-0.04077552258968353,
0.0028153532184660435,
-0.0021135297138243914,
-0.013151933439075947,
0.027661988511681557,
-0.02980818599462509,
0.02172410674393177,
0.010143477469682693,
-0.02275749482214451,
0.03355436772108078,
0.0017111252527683973,
-0.011365421116352081,
-0.02970520220696926,
0.004700355231761932,
0.0378781259059906,
0.01674080453813076,
-0.017539478838443756,
0.03998919948935509,
0.011525457724928856,
0.018554702401161194,
-0.02118206024169922,
-0.03316172957420349,
0.006408057175576687,
0.047527436167001724,
-0.019192812964320183,
-0.01853604055941105,
-0.08330545574426651,
0.003567312378436327,
-0.013895618729293346,
-0.019096137955784798,
0.020234020426869392,
-0.05873291194438934,
0.0040086014196276665,
-0.001510139089077711,
0.044952694326639175,
0.042803674936294556,
-0.053416695445775986,
0.05150630325078964,
-0.08937181532382965,
0.008360675536096096,
-0.037331972271203995,
-0.006527394521981478,
0.01830434612929821,
-0.043799806386232376,
-0.01112397387623787,
0.021959617733955383,
-0.02828213945031166,
0.0646902397274971,
-0.04122229665517807,
-0.04474710300564766,
0.040257640182971954,
-0.028807416558265686,
-0.009601150639355183,
0.038781676441431046,
-0.019775472581386566,
-0.034751277416944504,
0.014548538252711296,
-0.041150789707899094,
0.029408732429146767,
0.016809683293104172,
0.011630196124315262,
-0.014479932375252247,
0.015774838626384735,
-0.021328851580619812,
-0.0016461001941934228,
0.026492690667510033,
0.04845359921455383,
0.007159664761275053,
0.04837987571954727,
-0.08138313889503479,
0.08017933368682861,
0.03871077671647072,
-0.0034397258423268795,
0.031194351613521576,
0.013500891625881195,
0.0028079645708203316,
-0.03602226451039314,
0.05481497570872307,
-0.004058565478771925,
-0.01041706558316946,
-0.06983750313520432,
0.030413014814257622,
0.04561319574713707,
-0.060416530817747116,
-0.01757911965250969,
0.04231641814112663,
-0.05699436366558075,
-0.011070567183196545,
0.021570740267634392,
-0.02665925957262516,
0.024795079603791237,
0.05905267596244812,
-0.010338155552744865,
0.04139668494462967,
0.032930947840213776,
0.026981230825185776,
-0.018202194944024086,
-0.045946408063173294,
0.08540541678667068,
0.03633634001016617,
0.004816767293959856,
-0.012435062788426876,
0.06792109459638596,
0.0073592388071119785,
-0.024873964488506317,
0.013225775212049484,
0.0416216142475605,
-0.02970501035451889,
-0.030702725052833557,
-0.000976324372459203,
0.08324649184942245,
0.021253330633044243,
0.07526140660047531,
-0.058451294898986816,
-0.0211041122674942,
0.03102235682308674,
0.026011083275079727,
0.0105684082955122,
0.03004356101155281,
0.04060453921556473,
0.024732448160648346,
-0.019134487956762314,
-0.02877228893339634,
-0.061445049941539764,
-0.04614778235554695,
0.03838945925235748,
0.012710231356322765,
-0.055923979729413986,
0.009244024753570557,
-0.0022677232045680285,
0.007732570171356201,
0.10307134687900543,
-0.040554750710725784,
-0.01998545043170452,
0.006621961481869221,
0.033964693546295166,
-0.00794324092566967,
0.03357710316777229,
0.022260161116719246,
-0.01899702474474907,
0.05003582686185837,
-0.0728771984577179,
0.024613874033093452,
0.03384124115109444,
-0.02511921152472496,
-0.007848710753023624,
0.006279940251260996,
-0.019981617107987404,
0.017086228355765343,
0.038341645151376724,
-0.013523248955607414,
-0.059621330350637436,
-0.023662898689508438,
-0.069844089448452,
-0.06466060876846313,
-0.019394470378756523,
0.035095952451229095,
0.005061297211796045,
-0.026928260922431946,
0.022160256281495094,
-0.01740453392267227,
0.028041740879416466,
0.013895351439714432,
-0.05857055261731148,
-0.014598109759390354,
0.06743157655000687,
0.010826928541064262,
0.005738766863942146,
0.04437539353966713,
0.05610086768865585,
0.011468465439975262,
-0.003263424849137664,
-0.019684365019202232,
-0.02511269971728325,
0.04477587342262268,
0.002128607826307416,
0.015506260097026825,
-0.0997944101691246,
0.017443470656871796,
0.0036470755003392696,
-0.0400623083114624,
-0.07587338984012604,
0.018048467114567757,
-0.052063532173633575,
0.002265188144519925,
0.06269263476133347,
-0.007581763900816441,
0.008261478506028652,
-0.05771791934967041,
-0.03378889709711075,
0.024322260171175003,
-0.014915525913238525,
0.05124586448073387,
-0.03131056949496269,
0.014964940957725048,
0.0373423807322979,
-0.01719553768634796,
-0.020615234971046448,
0.05651136115193367,
0.021004291251301765,
-0.0030745461117476225,
-0.04266801103949547,
-0.03209281712770462,
-0.014775828458368778,
-0.09146785736083984,
-0.017722778022289276,
0.05024030804634094,
0.05036349222064018,
-0.018877118825912476,
-0.011221606284379959,
-0.00147150456905365,
0.0049633146263659,
-0.023180361837148666,
0.0047221374697983265,
-0.009447632357478142,
-0.023237237706780434,
-0.030372172594070435,
-0.059581443667411804,
0.021299751475453377,
0.006746642291545868,
-0.02001361921429634,
-0.031933002173900604,
-0.044043418020009995,
0.002335784025490284,
-0.039602670818567276,
-0.003384336829185486,
-0.03473050147294998,
0.006388180423527956,
0.021636968478560448
] | null |
580 |
Regression for the Mean: Auto-Evaluation and Inference with Few Labels through Post-hoc Regression
|
https://openreview.net/forum?id=kRKsUOJdp5
|
[
"Benjamin Eyre",
"David Madras"
] |
Poster
|
The availability of machine learning systems that can effectively perform arbitrary tasks has led to synthetic labels from these systems being used in applications of statistical inference, such as data analysis or model evaluation. The Prediction Powered Inference (PPI) framework provides a way of leveraging both a large pool of pseudo-labelled data and a small sample with real, high-quality labels to produce a low-variance, unbiased estimate of the quantity being evaluated for. Most work on PPI considers a relatively sizable set of labelled samples, which can be resource intensive to obtain. However, we find that when labelled data is scarce, the PPI++ method can perform even worse than classical inference. We analyze this phenomenon by relating PPI++ to ordinary least squares regression, which also experiences high variance with small sample sizes, and use this regression framework to better understand the efficacy of PPI. Motivated by this, we present two new PPI-based techniques that leverage robust regressors to produce even lower variance estimators in the few-label regime
|
auto-evaluation, prediction-powered-inference, regression, variance-reduction
| null | 12,908 |
2411.12665
|
[
-0.011245522648096085,
-0.02341500110924244,
-0.01629648730158806,
0.01880168542265892,
0.050452299416065216,
0.038208696991205215,
0.035662874579429626,
-0.016624677926301956,
-0.019872549921274185,
-0.008115786127746105,
-0.005372189451009035,
0.040436793118715286,
-0.06485390663146973,
0.006010469514876604,
-0.006052094511687756,
0.05679485946893692,
0.021690726280212402,
0.0026506155263632536,
-0.007925329729914665,
0.00047882928629405797,
-0.0030725246760994196,
-0.045485954731702805,
0.024646563455462456,
0.005971785169094801,
0.013389700092375278,
-0.008583994582295418,
0.042426396161317825,
-0.006447916850447655,
-0.052547406405210495,
0.013669468462467194,
0.04495629295706749,
0.016060300171375275,
0.009090837091207504,
0.002011488890275359,
0.015603079460561275,
0.039989810436964035,
-0.004577038809657097,
0.004501680843532085,
-0.019720131531357765,
0.03817444667220116,
-0.05213440582156181,
0.0038877432234585285,
-0.014386849477887154,
0.0172414630651474,
-0.06507042050361633,
0.0004049985436722636,
-0.10376258194446564,
0.034849248826503754,
-0.002776011358946562,
-0.014783510006964207,
-0.07909774035215378,
0.035576462745666504,
0.007719093468040228,
0.008024059236049652,
-0.011186795309185982,
0.025400707498192787,
0.04486614838242531,
-0.06540185213088989,
-0.032487742602825165,
-0.055609557777643204,
-0.024855200201272964,
0.021929016336798668,
0.014909578487277031,
-0.0005379850626923144,
-0.008682198822498322,
-0.0159551240503788,
0.022789495065808296,
0.048113998025655746,
-0.036772776395082474,
-0.04354133456945419,
-0.04974580183625221,
-0.01800351031124592,
-0.03341509401798248,
-0.017558909952640533,
0.011875915341079235,
-0.047236762940883636,
0.01573161408305168,
0.004094076808542013,
0.06631078571081161,
0.000041397044697077945,
0.0015428724000230432,
-0.008502040058374405,
-0.0033750918228179216,
0.008695507422089577,
0.005283884238451719,
0.01836097054183483,
0.0010096569312736392,
-0.04383425414562225,
-0.0556090772151947,
0.0573098249733448,
0.014305338263511658,
-0.03792708367109299,
0.009982668794691563,
0.02510441467165947,
-0.03479998931288719,
0.0015037237899377942,
0.03809793293476105,
0.006482341326773167,
-0.01092852745205164,
0.0015894552925601602,
-0.035098712891340256,
-0.004669710528105497,
0.0447288453578949,
-0.0014792305883020163,
-0.0797436386346817,
-0.03007923811674118,
-0.01780661940574646,
-0.03257162868976593,
-0.010999227873980999,
-0.009046006016433239,
-0.007605595979839563,
0.02742690034210682,
0.0026233841199427843,
0.013998539187014103,
-0.05590890720486641,
0.045964255928993225,
-0.011500610038638115,
0.04648473486304283,
-0.005078096408396959,
-0.004023921210318804,
0.021795837208628654,
0.0450604110956192,
0.028274493291974068,
0.05137522518634796,
-0.03987680748105049,
0.010384073480963707,
0.05664699152112007,
0.0170744676142931,
0.013488337397575378,
-0.0074820928275585175,
0.012022295966744423,
0.020282650366425514,
0.0012086709029972553,
0.020813921466469765,
0.008054506033658981,
0.014041976071894169,
0.02078341133892536,
0.009372634813189507,
0.045169271528720856,
0.03650965169072151,
0.02084813080728054,
-0.014878792688250542,
0.05335357412695885,
-0.030875423923134804,
0.07732634246349335,
-0.0143072959035635,
-0.00386592885479331,
-0.024441197514533997,
-0.04526609182357788,
0.01892784982919693,
0.014742359519004822,
-0.012012670747935772,
0.016969038173556328,
-0.04320681095123291,
0.03893116116523743,
0.05063995346426964,
0.01281470526009798,
0.016237083822488785,
0.007361710537225008,
-0.006481283809989691,
0.04070907458662987,
0.03028259240090847,
0.01017023529857397,
0.030183661729097366,
-0.005741055589169264,
-0.047858335077762604,
0.056381914764642715,
0.0059769777581095695,
-0.05683914199471474,
0.009501290507614613,
-0.010942232795059681,
-0.04430833086371422,
0.052246782928705215,
-0.0105986837297678,
0.005118750035762787,
0.004410594701766968,
0.08080422878265381,
0.001171434880234301,
0.07274564355611801,
0.020313357934355736,
-0.0935884565114975,
0.0510648749768734,
0.03255058079957962,
-0.010688058100640774,
0.010546226985752583,
-0.026106806471943855,
0.08568231761455536,
-0.026804402470588684,
0.017817648127675056,
0.0026876998599618673,
-0.054986536502838135,
-0.029826685786247253,
0.02110980451107025,
-0.02249034121632576,
0.06013480946421623,
0.0015752841718494892,
-0.02826797217130661,
0.0386011004447937,
0.011489332653582096,
0.007970180362462997,
0.028466971591114998,
-0.018971161916851997,
0.06697691977024078,
-0.0002393031754763797,
-0.06644295901060104,
-0.026243427768349648,
0.02306262217462063,
-0.04655751585960388,
-0.03754182532429695,
0.05092398077249527,
-0.04910484328866005,
-0.005810249131172895,
0.010105423629283905,
-0.027346985414624214,
0.00987875834107399,
0.022338513284921646,
-0.03470870479941368,
0.03967767581343651,
0.0016848082887008786,
-0.0578734315931797,
0.02127060480415821,
0.035032931715250015,
-0.016552068293094635,
0.02296174317598343,
-0.017251109704375267,
0.10736512392759323,
0.080980584025383,
-0.028381839394569397,
-0.006230390165001154,
0.006207822822034359,
0.014198627322912216,
-0.013102698139846325,
0.0593193843960762,
-0.013852083124220371,
0.00003064065458602272,
0.003488832153379917,
0.013896617107093334,
-0.030598744750022888,
0.05396132171154022,
-0.06236089766025543,
0.0070258211344480515,
0.0627124011516571,
-0.039710842072963715,
0.07478649914264679,
-0.0059289997443556786,
-0.008087081834673882,
0.044483691453933716,
0.010912135243415833,
-0.045549288392066956,
-0.014636345207691193,
-0.007461242377758026,
-0.0036426347214728594,
0.009822065010666847,
-0.009318812750279903,
0.022609151899814606,
-0.05598313733935356,
-0.008421506732702255,
0.015246711671352386,
0.0626971572637558,
0.08691378682851791,
0.0048298765905201435,
0.0026423451490700245,
0.01241539791226387,
-0.03829852491617203,
0.018470745533704758,
-0.11121159791946411,
-0.08003047108650208,
0.009992802515625954,
0.016608871519565582,
0.00800161249935627,
0.04371636360883713,
-0.03848455846309662,
0.006868109107017517,
0.006604870781302452,
-0.02091696858406067,
0.03563295677304268,
0.035665564239025116,
0.03128686547279358,
-0.06549940258264542,
-0.006172466557472944,
0.00637341383844614,
0.05700350180268288,
0.010976526886224747,
-0.04067904129624367,
-0.013097895309329033,
-0.06201397627592087,
-0.036066219210624695,
-0.014266153797507286,
0.008532271720468998,
0.007224652916193008,
-0.009616113267838955,
0.035848937928676605,
-0.030388010665774345,
0.01570536382496357,
0.03715364262461662,
0.03893132507801056,
0.02493276633322239,
0.012525789439678192,
-0.025816457346081734,
0.03779710829257965,
0.0021326912101358175,
0.004273525904864073,
-0.016469083726406097,
0.018847323954105377,
-0.01473382581025362,
0.00983117613941431,
0.023099275305867195,
-0.00570694450289011,
-0.2943885624408722,
-0.012446565553545952,
0.03135795146226883,
-0.008028035052120686,
0.014503588899970055,
-0.051531244069337845,
0.057842012494802475,
-0.0437435619533062,
-0.035234566777944565,
0.011818311177194118,
0.047311700880527496,
0.027599584311246872,
-0.02376587502658367,
0.07526824623346329,
0.05369770526885986,
0.03523143753409386,
0.02720899134874344,
-0.033797573298215866,
0.03055032342672348,
0.024694934487342834,
0.024452390149235725,
-0.054308097809553146,
-0.044534265995025635,
0.03290964663028717,
0.00015868285845499486,
0.04907442256808281,
-0.054275032132864,
0.011703825555741787,
-0.05198735371232033,
0.007014744449406862,
-0.05420982465147972,
-0.03593141585588455,
-0.025976113975048065,
0.01632690615952015,
0.03536105528473854,
0.0016320821596309543,
0.0393482968211174,
-0.026444578543305397,
-0.014091305434703827,
0.023937411606311798,
-0.01634192280471325,
0.002947971923276782,
-0.024097248911857605,
-0.033799100667238235,
0.05535738915205002,
0.027513638138771057,
-0.007748389150947332,
-0.013175555504858494,
-0.0409514494240284,
0.03719880059361458,
-0.02551279030740261,
-0.02615615911781788,
-0.019682474434375763,
-0.054181113839149475,
-0.00633376557379961,
-0.04583379998803139,
0.00963214784860611,
-0.0032545761205255985,
-0.03813328221440315,
0.016492141410708427,
0.012884756550192833,
-0.027463611215353012,
0.018822865560650826,
-0.04117375612258911,
-0.01692858338356018,
-0.020704127848148346,
-0.07733824104070663,
-0.05983039736747742,
0.052779071033000946,
0.029357166960835457,
-0.0013666629092767835,
-0.011672630906105042,
0.016000820323824883,
-0.1044149249792099,
0.015842154622077942,
-0.0003234721370972693,
0.004000973422080278,
-0.0009017999982461333,
0.03654578700661659,
0.04069603979587555,
-0.008369187824428082,
-0.05124100670218468,
0.011984296143054962,
0.01970701850950718,
0.03273410722613335,
-0.010866730473935604,
0.007415964268147945,
-0.029411375522613525,
-0.03174249455332756,
-0.03168546408414841,
0.018058236688375473,
-0.024584926664829254,
0.004543747752904892,
0.025756893679499626,
0.04068971425294876,
0.07289949059486389,
0.013546745292842388,
0.03972071781754494,
0.05653493478894234,
0.014742777682840824,
0.013369882479310036,
-0.0603208914399147,
0.0012991080293431878,
-0.050414249300956726,
-0.048900503665208817,
0.0073767416179180145,
-0.06025449186563492,
-0.00658672209829092,
0.013845709152519703,
-0.06077706068754196,
-0.014342863112688065,
0.021155381575226784,
-0.034768834710121155,
-0.017309335991740227,
-0.008836676366627216,
-0.015266476199030876,
-0.0029043173417448997,
0.009797701612114906,
0.029215721413493156,
-0.016191557049751282,
-0.025109410285949707,
0.02464902587234974,
0.0055877165868878365,
0.008733921684324741,
-0.054004181176424026,
-0.03977431356906891,
0.03987424448132515,
-0.03393382951617241,
-0.010663308203220367,
-0.02700923942029476,
-0.0029369480907917023,
0.031008558347821236,
0.004015833139419556,
0.0024753480684012175,
0.07760516554117203,
0.014090360142290592,
-0.015301760286092758,
-0.013986543752253056,
0.04477805644273758,
-0.014926859177649021,
0.00037225757841952145,
-0.01739361695945263,
0.012791103683412075,
0.04539737477898598,
0.06092351675033569,
-0.002220505615696311,
0.0010480043711140752,
0.026482148095965385,
-0.003196755889803171,
-0.024236634373664856,
0.031663116067647934,
-0.02757119946181774,
-0.02532312273979187,
-0.011083346791565418,
0.0017935954965651035,
0.014280155301094055,
0.05302510783076286,
-0.031218107789754868,
-0.007238256279379129,
-0.09085924923419952,
0.05218619108200073,
-0.014058198779821396,
-0.0163254477083683,
0.0008927910239435732,
0.03575719892978668,
0.04228873550891876,
-0.012766260653734207,
0.009844249114394188,
0.023597149178385735,
0.02991747297346592,
0.019832415506243706,
-0.059789691120386124,
-0.014491425827145576,
-0.022138239815831184,
-0.029855959117412567,
-0.013919861055910587,
0.004387707449495792,
-0.000027587304430198856,
-0.06848885864019394,
0.016431478783488274,
0.026960141956806183,
-0.024509401991963387,
-0.007657351437956095,
0.01785515621304512,
0.06890008598566055,
0.003701869398355484,
0.014370156452059746,
-0.012784203514456749,
-0.05938595533370972,
0.04665873944759369,
-0.030064696446061134,
0.003230700735002756,
-0.003999623935669661,
-0.039510637521743774,
-0.029918581247329712,
-0.031908098608255386,
-0.020475072786211967,
0.017856355756521225,
-0.013310475274920464,
-0.01592252403497696,
0.002144208876416087,
-0.0183310117572546,
-0.01809033565223217,
-0.013585793785750866,
0.018447602167725563,
-0.06548592448234558,
0.008016354404389858,
0.05308464914560318,
-0.03292814642190933,
0.004551738500595093,
-0.0654369443655014,
-0.050426628440618515,
-0.054752010852098465,
0.017267946153879166,
0.004822522401809692,
-0.03724028915166855,
-0.004371652379631996,
-0.006524007301777601,
0.006744868587702513,
-0.03051106072962284,
0.02138293907046318,
-0.0012419784907251596,
-0.011600305326282978,
-0.0381886325776577,
0.031343184411525726,
0.035674288868904114,
-0.03643589839339256,
-0.040238071233034134,
-0.0023746516089886427,
-0.019454674795269966,
0.018225766718387604,
-0.05228666961193085,
0.019539952278137207,
0.07330934703350067,
0.007101419847458601,
0.013369263149797916,
-0.0637400820851326,
0.040041498839855194,
-0.027467459440231323,
-0.029155513271689415,
-0.029806364327669144,
0.0039358059875667095,
-0.0313073992729187,
0.016283920034766197,
-0.011448509991168976,
0.04894273355603218,
-0.013579568825662136,
0.015382295474410057,
0.0019118062919005752,
0.028558900579810143,
-0.010794006288051605,
0.03422781080007553,
-0.05456288903951645,
0.024816863238811493,
0.06209263578057289,
0.02165442705154419,
-0.04199453070759773,
-0.05178988724946976,
-0.023593002930283546,
0.033306654542684555,
-0.013291808776557446,
0.054447852075099945,
0.04246091842651367,
0.05950178578495979,
0.03366205468773842,
0.0561496876180172,
0.0018814333016052842,
-0.025025274604558945,
0.06392639130353928,
-0.06539281457662582,
-0.012867371551692486,
-0.06550341099500656,
-0.004828904289752245,
0.08513770252466202,
-0.005292138550430536,
-0.002423330210149288,
0.010379169136285782,
-0.04108177125453949,
0.0261541660875082,
-0.011396724730730057,
-0.0716341957449913,
-0.008824842981994152,
-0.0008716688607819378,
0.015534454956650734,
0.026798224076628685,
-0.03862910717725754,
-0.01544515136629343,
0.026463955640792847,
-0.05046500638127327,
-0.01434856466948986,
0.020418724045157433,
0.047181159257888794,
-0.038147855550050735,
-0.02816178649663925,
-0.04055039584636688,
0.030805513262748718,
0.006371452938765287,
0.05755890905857086,
-0.0030374277848750353,
0.02867722138762474,
-0.03773216903209686,
0.0671464055776596,
0.03110414370894432,
0.008427759632468224,
-0.013468507677316666,
-0.018524687737226486,
-0.010557737201452255,
-0.05092255026102066,
0.041654136031866074,
0.002432724693790078,
-0.03856973722577095,
-0.05449306219816208,
0.05512683838605881,
0.029052989557385445,
-0.0395214781165123,
-0.03413224220275879,
0.0004432351852301508,
-0.029661642387509346,
0.007146213203668594,
-0.0013648229651153088,
-0.01694355346262455,
0.007398364134132862,
0.05999930948019028,
0.02218768373131752,
0.021974362432956696,
0.04502777382731438,
0.036172445863485336,
0.008041654713451862,
-0.013927755877375603,
0.06539687514305115,
0.08091197162866592,
0.05823765695095062,
0.004917406477034092,
0.06294521689414978,
-0.03500150516629219,
-0.05912283435463905,
0.006821312475949526,
-0.005973500199615955,
-0.028640003874897957,
-0.03922669216990471,
0.026139993220567703,
0.08684355020523071,
0.02413933165371418,
0.06379266828298569,
-0.052641112357378006,
0.017108626663684845,
0.00290457671508193,
-0.024511441588401794,
0.007488799747079611,
0.03144703432917595,
0.005245246458798647,
0.013543975539505482,
-0.029177377000451088,
-0.01796625182032585,
-0.03093661367893219,
0.0004927327390760183,
0.009425404481589794,
0.008050634525716305,
-0.04934743046760559,
-0.025251518934965134,
-0.01099103782325983,
0.037439361214637756,
0.07511571794748306,
-0.03976356238126755,
-0.029410438612103462,
0.009464777074754238,
0.04812190309166908,
-0.027898546308279037,
0.04859719052910805,
0.0013684220612049103,
-0.0017854907782748342,
0.023438649252057076,
-0.016572143882513046,
0.003921749070286751,
0.013302277773618698,
-0.0015155167784541845,
0.02970278076827526,
-0.006665471009910107,
-0.03337740898132324,
0.024665620177984238,
-0.006773114670068026,
-0.06324297934770584,
-0.05935755372047424,
-0.013718574307858944,
-0.03762764111161232,
-0.06891926378011703,
-0.056891269981861115,
0.006752713117748499,
-0.00422266311943531,
-0.027473274618387222,
-0.0005761899519711733,
-0.05425725877285004,
0.014271720312535763,
0.014591114595532417,
-0.06547652184963226,
0.008007475174963474,
0.01808047667145729,
-0.012301193550229073,
-0.021049048751592636,
0.029423266649246216,
0.0028180545195937157,
-0.025505149737000465,
-0.031324129551649094,
0.06312018632888794,
0.03552693873643875,
0.04887210577726364,
-0.005991906393319368,
-0.01199574489146471,
-0.0792917013168335,
0.022225236520171165,
-0.005305556580424309,
-0.03970397263765335,
-0.07786887139081955,
0.03729729354381561,
-0.018061989918351173,
0.002109462395310402,
0.06438662856817245,
0.020994063466787338,
0.03470095992088318,
-0.04078220948576927,
0.03651091083884239,
0.008440285921096802,
0.018389636650681496,
0.025157030671834946,
-0.02097332291305065,
0.04643721878528595,
0.03249124065041542,
-0.04863476753234863,
-0.03464587405323982,
0.0042013986967504025,
-0.023263361304998398,
-0.008998450823128223,
-0.02620302140712738,
-0.02061145380139351,
-0.013283776119351387,
-0.08833254873752594,
-0.003695173654705286,
0.024809785187244415,
-0.04544983059167862,
-0.025532569736242294,
-0.01771015301346779,
-0.024622701108455658,
0.004369644448161125,
0.011521088890731335,
-0.0018238681368529797,
0.023804059252142906,
-0.0317198671400547,
-0.022384217008948326,
-0.06332720071077347,
0.022011904045939445,
-0.018266204744577408,
0.029877472668886185,
-0.042788803577423096,
-0.03506731614470482,
-0.008726148866117,
-0.025910869240760803,
0.03305413946509361,
0.01830192841589451,
0.0002779406786430627,
-0.017152369022369385
] | null |
581 |
Stochastic Poisson Surface Reconstruction with One Solve using Geometric Gaussian Processes
|
https://openreview.net/forum?id=SUX6Wzy9t1
|
[
"Sidhanth Holalkere",
"David Bindel",
"Silvia Sellán",
"Alexander Terenin"
] |
Poster
|
Poisson Surface Reconstruction is a widely-used algorithm for reconstructing a surface from an oriented point cloud. To facilitate applications where only partial surface information is available, or scanning is performed sequentially, a recent line of work proposes to incorporate uncertainty into the reconstructed surface via Gaussian process models. The resulting algorithms first perform Gaussian process interpolation, then solve a set of volumetric partial differential equations globally in space, resulting in a computationally expensive two-stage procedure. In this work, we apply recently-developed techniques from geometric Gaussian processes to combine interpolation and surface reconstruction into a single stage, requiring only one linear solve per sample. The resulting reconstructed surface samples can be queried locally in space, without the use of problem-dependent volumetric meshes or grids. These capabilities enable one to (a) perform probabilistic collision detection locally around the region of interest, (b) perform ray casting without evaluating points not on the ray's trajectory, and (c) perform next-view planning on a per-ray basis. They also do not requiring one to approximate kernel matrix inverses with diagonal matrices as part of intermediate computations, unlike prior methods. Results show that our approach provides a cleaner, more-principled, and more-flexible stochastic surface reconstruction pipeline.
|
stochastic poisson surface reconstruction, geometric gaussian processes, computer graphics
| null | 12,905 |
2503.19136
|
[
0.003970166202634573,
0.026423228904604912,
-0.009068915620446205,
0.028542054817080498,
0.02534070983529091,
0.05367139354348183,
0.007628112565726042,
0.0222591795027256,
-0.02514031156897545,
-0.09471648931503296,
-0.014052631333470345,
-0.032492496073246,
-0.03872648999094963,
-0.021475117653608322,
0.014581847004592419,
0.04386017471551895,
0.005258401855826378,
-0.021549878641963005,
0.003665975760668516,
0.062230728566646576,
-0.021173151209950447,
-0.02374899573624134,
0.05274452641606331,
0.01525566354393959,
0.014536387287080288,
-0.021695243194699287,
0.04905754327774048,
0.024165216833353043,
-0.01912684366106987,
-0.01992509327828884,
0.01269889809191227,
-0.01640978828072548,
-0.014913610182702541,
-0.11001898348331451,
-0.006619645282626152,
-0.010860780254006386,
-0.021259747445583344,
0.01244315505027771,
-0.05382983759045601,
-0.010976375080645084,
-0.03618505969643593,
0.008109075017273426,
-0.025361033156514168,
-0.009292212314903736,
-0.011161931790411472,
0.01289921160787344,
-0.017084212973713875,
0.06401154398918152,
-0.00440822122618556,
-0.03387102112174034,
-0.08139491081237793,
0.015225965529680252,
-0.011730548925697803,
0.00649377191439271,
-0.021730458363890648,
0.04746367037296295,
0.04103187099099159,
-0.04053359106183052,
-0.026255197823047638,
-0.06235559284687042,
-0.00506528140977025,
-0.00941831897944212,
0.00529825035482645,
0.01961713284254074,
0.0007148612639866769,
0.005808607675135136,
0.017272725701332092,
0.05851125344634056,
0.002893322380259633,
-0.050114866346120834,
0.017090177163481712,
-0.04207037761807442,
0.03123876452445984,
0.009532878175377846,
0.021890413016080856,
-0.027226215228438377,
0.004970631096512079,
0.036408841609954834,
0.07091514021158218,
-0.02518664300441742,
0.06435354053974152,
-0.033743664622306824,
-0.01868264004588127,
0.04281807690858841,
0.006819161120802164,
0.007063458673655987,
-0.039011046290397644,
-0.015654616057872772,
-0.06793658435344696,
0.03755757212638855,
-0.029148703441023827,
-0.04956476762890816,
0.01027456670999527,
0.04422326758503914,
0.02276216261088848,
0.012512926943600178,
0.04394072666764259,
0.03383227065205574,
0.031678564846515656,
-0.002564922673627734,
0.02028702199459076,
-0.016446011140942574,
0.020857887342572212,
0.02568761259317398,
-0.07149098068475723,
-0.0642455518245697,
-0.015182741917669773,
0.006659587379544973,
-0.0544615276157856,
-0.012154131196439266,
-0.01948394998908043,
-0.01848525181412697,
-0.009710039012134075,
-0.0022167018614709377,
-0.08581849932670593,
0.027138032019138336,
0.034965477883815765,
0.009657391346991062,
0.013319971971213818,
0.024740301072597504,
0.057684727013111115,
0.04051245376467705,
0.005120041314512491,
0.05577569082379341,
-0.024342818185687065,
0.03023718111217022,
0.016184760257601738,
0.03435143455862999,
-0.04166776314377785,
-0.04241790622472763,
0.011994228698313236,
0.06061660125851631,
-0.0015316406497731805,
-0.011399147100746632,
0.02268132008612156,
-0.046255264431238174,
-0.013394316658377647,
0.018394561484456062,
-0.024363981559872627,
-0.037646666169166565,
-0.01408020406961441,
-0.03163166344165802,
0.053284596651792526,
0.0004483287048060447,
0.05600682646036148,
-0.01946289837360382,
0.010055574588477612,
-0.054886024445295334,
-0.046692460775375366,
0.04111272841691971,
0.007115177344530821,
0.0010933555895462632,
0.021632174029946327,
-0.08356533944606781,
0.021135689690709114,
0.07291676104068756,
0.027257051318883896,
0.058291882276535034,
-0.0007969726575538516,
-0.03505220636725426,
0.01936563476920128,
0.017894728109240532,
-0.03442543372511864,
0.019070696085691452,
-0.022863874211907387,
-0.049813803285360336,
0.0435490757226944,
0.013069456443190575,
-0.02948227897286415,
-0.011867943219840527,
-0.052364837378263474,
-0.034250106662511826,
0.06741432100534439,
-0.026937436312437057,
-0.006059921346604824,
-0.014472326263785362,
0.05883657559752464,
-0.033100832253694534,
-0.000771441264078021,
0.0047747488133609295,
-0.08067182451486588,
-0.014062699861824512,
-0.0037387614138424397,
-0.03958001732826233,
0.024791985750198364,
-0.025121740996837616,
0.10086645185947418,
-0.007832157425582409,
-0.011583195999264717,
0.01722509227693081,
-0.08407106250524521,
-0.028076745569705963,
0.02346675656735897,
-0.026608629152178764,
0.04907330870628357,
0.057299282401800156,
-0.011122331954538822,
0.028416795656085014,
0.0049615888856351376,
0.03634633496403694,
0.013815849088132381,
-0.01883174479007721,
0.05916412174701691,
0.007113343570381403,
-0.04529191181063652,
-0.03845331817865372,
0.03853827714920044,
-0.024104313924908638,
-0.004893267527222633,
0.02749696746468544,
0.004591338336467743,
-0.023312417790293694,
0.016046278178691864,
-0.020260296761989594,
0.0073203896172344685,
-0.0002556165272835642,
-0.015027795918285847,
-0.007017156574875116,
-0.008585158735513687,
-0.05569439381361008,
0.003750510048121214,
0.0412306971848011,
-0.05044155567884445,
-0.0050650048069655895,
-0.02539847604930401,
0.07995624840259552,
0.07997030764818192,
-0.041883546859025955,
0.006187828723341227,
-0.031392887234687805,
0.022024672478437424,
0.015615159645676613,
0.008284817449748516,
-0.045899391174316406,
0.02832336537539959,
-0.011935868300497532,
0.07518856972455978,
-0.02749575488269329,
0.03748563677072525,
-0.02903069742023945,
-0.053545769304037094,
0.044469259679317474,
0.02251652628183365,
0.04086989536881447,
0.03325532004237175,
-0.004048110451549292,
0.04188486561179161,
-0.018932586535811424,
-0.010515899397432804,
-0.039881348609924316,
-0.025305546820163727,
0.02071043662726879,
-0.02509283646941185,
0.0060949381440877914,
-0.012788319028913975,
-0.049446236342191696,
0.032298535108566284,
-0.018607208505272865,
0.07951586693525314,
0.045638348907232285,
0.02614128775894642,
-0.031517837196588516,
0.02151845023036003,
-0.03437168896198273,
-0.045953068882226944,
-0.10894611477851868,
-0.028912371024489403,
-0.01650904305279255,
0.01090807095170021,
0.04823506250977516,
0.03744859620928764,
0.0022618339862674475,
-0.013666319660842419,
-0.023914653807878494,
-0.0051343487575650215,
-0.000549233634956181,
0.011320516467094421,
0.0005682606715708971,
-0.046864576637744904,
0.009258519858121872,
0.030392000451683998,
0.07948124408721924,
-0.0494290255010128,
-0.018711458891630173,
-0.009400608949363232,
-0.028088632971048355,
0.01767728105187416,
-0.005079286172986031,
-0.035049691796302795,
-0.009047522209584713,
0.004054003860801458,
-0.01582251861691475,
-0.0452730655670166,
0.006822242401540279,
0.0649891048669815,
0.048702944070100784,
0.03468485549092293,
-0.03528730943799019,
-0.03043350763618946,
-0.01425602100789547,
-0.023706721141934395,
0.030560294166207314,
0.0022377115674316883,
-0.012240013107657433,
-0.041232433170080185,
0.016883010044693947,
0.02416379190981388,
-0.02895401231944561,
-0.25635674595832825,
-0.026930686086416245,
-0.0132739944383502,
-0.030692188069224358,
0.026850974187254906,
0.04389457404613495,
0.053506381809711456,
-0.01903674192726612,
-0.05281497538089752,
0.012906706891953945,
0.034533604979515076,
0.020818760618567467,
0.0023250507656484842,
0.06871562451124191,
0.07794781774282455,
0.019180702045559883,
0.01553947664797306,
-0.0015001826686784625,
0.007937157526612282,
0.005656043533235788,
-0.009485104121267796,
-0.0622122623026371,
-0.0266957338899374,
-0.0016636999789625406,
-0.029629787430167198,
0.015777528285980225,
-0.020034238696098328,
0.0008790816646069288,
-0.039653293788433075,
-0.000009405378477822524,
0.012145712040364742,
-0.032828353345394135,
0.008716301061213017,
0.03420690447092056,
-0.021069316193461418,
-0.02020108886063099,
0.012431764975190163,
-0.0037486462388187647,
0.032647907733917236,
0.012774852104485035,
0.00632961792871356,
0.016134189441800117,
-0.031153758987784386,
0.020578376948833466,
0.07407968491315842,
-0.01709401234984398,
-0.027794506400823593,
0.026777278631925583,
-0.007845607586205006,
0.042242590337991714,
0.04951421543955803,
-0.01120451744645834,
0.007289845962077379,
0.0026956808287650347,
-0.03624216839671135,
-0.03310125693678856,
0.03479279950261116,
0.020522341132164,
-0.052796319127082825,
0.013856722973287106,
0.0006698512588627636,
-0.04121017083525658,
-0.02462303265929222,
-0.041373997926712036,
0.005888282787054777,
-0.06890562176704407,
-0.06460146605968475,
-0.06885308027267456,
0.046961914747953415,
0.04415258765220642,
0.027660703286528587,
0.037668462842702866,
-0.054060451686382294,
-0.10173630714416504,
0.041948143392801285,
0.018356896936893463,
0.0003792528877966106,
-0.028992194682359695,
0.005604035686701536,
0.0009178182808682323,
-0.03807986155152321,
-0.06828973442316055,
0.033958449959754944,
0.057533152401447296,
0.006173344328999519,
-0.006333569530397654,
-0.002070524962618947,
-0.02849966287612915,
-0.03386152535676956,
-0.023708628490567207,
0.0650448128581047,
0.007097764406353235,
0.05506155267357826,
-0.010744485072791576,
0.03483608737587929,
0.030053667724132538,
0.030136406421661377,
0.01828710176050663,
0.03226805850863457,
-0.02272280678153038,
0.04736693203449249,
-0.04160443693399429,
0.010084472596645355,
-0.021647635847330093,
-0.03925616666674614,
-0.013909753412008286,
-0.03986199572682381,
-0.008679390884935856,
0.041434429585933685,
0.027288923040032387,
-0.030487265437841415,
-0.0020622715819627047,
0.019251100718975067,
0.01840362139046192,
0.02018682472407818,
-0.0036770894657820463,
0.02061298117041588,
0.04238663613796234,
0.04188013821840286,
-0.0235410388559103,
-0.03496202453970909,
-0.011092758737504482,
-0.027014845982193947,
-0.007871842943131924,
-0.00348492874763906,
-0.005925144534558058,
0.010339093394577503,
0.015413878485560417,
-0.004672469571232796,
0.031715117394924164,
0.03740661218762398,
0.05191277712583542,
0.007812557741999626,
0.03090551868081093,
0.05036343261599541,
0.043440449982881546,
-0.023032009601593018,
-0.028945384547114372,
0.051859114319086075,
0.00940255168825388,
0.05677933990955353,
0.01587620936334133,
0.014455701224505901,
0.03722256049513817,
0.05031992122530937,
0.0074285888113081455,
0.010928117670118809,
0.00922041479498148,
0.004795554094016552,
-0.014884029515087605,
-0.0056382701732218266,
-0.04478057101368904,
0.010537047870457172,
-0.017016394063830376,
0.01879090815782547,
-0.0027252575382590294,
0.04930728301405907,
-0.04440373554825783,
0.02957252413034439,
-0.06436163932085037,
0.044214263558387756,
0.06610682606697083,
-0.05367712303996086,
0.0074529186822474,
-0.019241664558649063,
0.043876439332962036,
-0.027858933433890343,
-0.005330576561391354,
0.022074421867728233,
0.01142824999988079,
0.014432765543460846,
-0.061958979815244675,
-0.033535610884428024,
-0.04384095221757889,
-0.013637885451316833,
0.03417878597974777,
-0.030113359913229942,
-0.03441048413515091,
-0.05819873884320259,
-0.01687016710639,
0.011956064030528069,
-0.027839943766593933,
-0.011761542409658432,
-0.008063051849603653,
0.040956027805805206,
-0.007035805843770504,
-0.0019804900512099266,
-0.01503368467092514,
-0.010326721705496311,
0.06429695338010788,
0.027929309755563736,
0.03802238777279854,
-0.04140247032046318,
0.017705677077174187,
-0.02051519975066185,
-0.033815015107393265,
0.004309738986194134,
0.01150949951261282,
-0.02403334341943264,
-0.02277015708386898,
0.0038944969419389963,
0.013289266265928745,
-0.04581274837255478,
0.012817475013434887,
0.04291854053735733,
-0.06677532941102982,
0.022786006331443787,
0.05522928759455681,
0.014747022651135921,
0.04109816625714302,
-0.05228552594780922,
0.003348381258547306,
-0.014171864837408066,
-0.01842891052365303,
0.018830137327313423,
0.021718829870224,
-0.026289844885468483,
-0.012124335393309593,
0.0016868318198248744,
0.01891590841114521,
-0.018607251346111298,
0.0223965123295784,
-0.023837627843022346,
-0.03856958448886871,
0.001323941396549344,
0.046480804681777954,
-0.042884983122348785,
-0.03218855708837509,
-0.004017769359052181,
-0.023920243605971336,
0.013404889032244682,
-0.04223526641726494,
-0.02734551951289177,
0.0077426559291779995,
0.016692928969860077,
0.03001139871776104,
-0.08528263866901398,
0.01863904483616352,
-0.018591567873954773,
-0.00650590006262064,
0.020520418882369995,
0.006885869894176722,
0.023867741227149963,
0.001642987597733736,
0.012111227959394455,
0.014759729616343975,
0.017559118568897247,
0.010699673555791378,
-0.013080042786896229,
0.054550014436244965,
-0.005079950205981731,
-0.0011008629808202386,
-0.044413983821868896,
-0.006336934398859739,
0.0518341064453125,
0.004369606263935566,
-0.022943513467907906,
-0.06380309909582138,
-0.021379563957452774,
0.022460632026195526,
-0.023713944479823112,
-0.025948235765099525,
-0.04207393527030945,
0.01318016741424799,
0.045960936695337296,
0.02797025442123413,
-0.002489539096131921,
-0.0021855910308659077,
0.04372045397758484,
-0.07433493435382843,
0.006842056754976511,
-0.033524394035339355,
0.01814606785774231,
0.04825882613658905,
-0.04218747094273567,
0.00654982216656208,
0.03935515508055687,
-0.01978970319032669,
0.028944311663508415,
-0.041022710502147675,
-0.06640566140413284,
0.03741307556629181,
-0.02337651513516903,
-0.03860238566994667,
0.02151924930512905,
-0.009962422773241997,
-0.01678885892033577,
0.007423337083309889,
-0.03431257978081703,
0.032563090324401855,
0.024167785421013832,
0.027413260191679,
-0.030180420726537704,
0.013242579996585846,
-0.017901673913002014,
-0.012567847967147827,
0.033184781670570374,
0.05766228586435318,
-0.011073478497564793,
0.06426229327917099,
-0.0358259379863739,
0.08638518303632736,
0.03571739047765732,
-0.021739039570093155,
0.03525380417704582,
-0.007788276299834251,
0.019979404285550117,
-0.02339295484125614,
0.044693831354379654,
0.0111649539321661,
0.006963731255382299,
-0.07755603641271591,
0.034478407353162766,
0.037567637860774994,
-0.0739683136343956,
-0.051912181079387665,
0.02606554888188839,
-0.061938151717185974,
0.00007705780444666743,
-0.015156567096710205,
0.001922664581798017,
0.03405298665165901,
0.06316698342561722,
-0.03523490950465202,
0.039820000529289246,
0.015378025360405445,
0.015800893306732178,
-0.021827397868037224,
-0.023677999153733253,
0.06902813911437988,
0.07503905147314072,
0.005749722011387348,
0.022082746028900146,
0.05925079062581062,
-0.01983112283051014,
-0.03024715557694435,
0.0038731687236577272,
-0.0028811143711209297,
-0.01634608954191208,
-0.044722780585289,
-0.020194899290800095,
0.09838082641363144,
0.02811354026198387,
0.057612333446741104,
-0.036929357796907425,
-0.010584162548184395,
0.0009428265620954335,
-0.009199731051921844,
0.0044302744790911674,
0.022290442138910294,
0.0473802424967289,
0.02980095148086548,
-0.01798115111887455,
-0.03307340294122696,
-0.03006882779300213,
-0.03405894711613655,
0.01695544831454754,
0.0004856029700022191,
-0.019429154694080353,
0.0005586232873611152,
-0.017486777156591415,
-0.01637282595038414,
0.08872003108263016,
-0.013742253184318542,
-0.04183369129896164,
-0.026656946167349815,
0.006563166622072458,
0.014952222816646099,
0.05620080977678299,
0.06364527344703674,
-0.019615205004811287,
0.014053931459784508,
-0.04533656686544418,
0.03743021562695503,
0.004974213428795338,
-0.037409499287605286,
-0.012498253956437111,
-0.010475555434823036,
0.01437978446483612,
-0.0038357554003596306,
0.009335716255009174,
-0.038488682359457016,
-0.057249944657087326,
-0.028785601258277893,
-0.049913279712200165,
-0.02730945684015751,
-0.004461042117327452,
0.03830695524811745,
-0.020152457058429718,
-0.045892104506492615,
0.008671814575791359,
-0.021166769787669182,
0.014912345446646214,
0.04387633129954338,
-0.04945093020796776,
-0.032708827406167984,
0.059633899480104446,
-0.034818120300769806,
0.006175460759550333,
0.05399155244231224,
0.04221828281879425,
-0.03149005025625229,
0.014252327382564545,
-0.01334461010992527,
-0.03155582770705223,
0.04475465416908264,
0.004185346886515617,
-0.0002567490446381271,
-0.11325540393590927,
0.008006024174392223,
0.04960515722632408,
0.005132788792252541,
-0.07466728240251541,
-0.012991161085665226,
-0.010041183792054653,
-0.02344808168709278,
0.03602650389075279,
0.027164317667484283,
0.03533795475959778,
-0.0794137641787529,
-0.01127539947628975,
-0.03987013176083565,
-0.005262355785816908,
0.04509056732058525,
-0.0331525057554245,
0.020993413403630257,
0.03899957984685898,
-0.033072635531425476,
-0.011997276917099953,
0.03382710739970207,
0.004305338487029076,
0.04573257640004158,
-0.038275379687547684,
-0.01562870480120182,
-0.04624485597014427,
-0.08902119100093842,
-0.05262685939669609,
0.02718738280236721,
0.009610948152840137,
-0.021266145631670952,
0.023390280082821846,
-0.006392870098352432,
-0.007016537711024284,
0.006968874949961901,
0.007981459610164165,
0.022078046575188637,
-0.06479445844888687,
-0.03988056629896164,
-0.07076318562030792,
0.03053339757025242,
0.013850160874426365,
0.016233833506703377,
-0.0034723817370831966,
-0.036699093878269196,
-0.03006288968026638,
-0.022944755852222443,
-0.022838039323687553,
-0.008874902501702309,
0.028722189366817474,
0.04114333167672157
] |
https://github.com/sholalkere/GeoSPSR
|
582 |
Communicating Activations Between Language Model Agents
|
https://openreview.net/forum?id=W6RPXUUFic
|
[
"Vignav Ramesh",
"Kenneth Li"
] |
Poster
|
Communication between multiple language model (LM) agents has been shown to scale up the reasoning ability of LMs. While natural language has been the dominant medium for inter-LM communication, it is not obvious this should be the standard: not only does natural language communication incur high inference costs that scale quickly with the number of both agents and messages, but also the decoding process abstracts away too much rich information that could be otherwise accessed from the internal activations. In this work, we propose a simple technique whereby LMs communicate via *activations*; concretely, we pause an LM $B$'s computation at an intermediate layer, combine its current activation with another LM $A$'s intermediate activation via some function $f$, then pass $f$'s output into the next layer of $B$ and continue the forward pass till decoding is complete. This approach scales up LMs on new tasks with *zero* additional parameters and data, and saves a *substantial amount of compute* over natural language communication. We test our method with various functional forms $f$ on two experimental setups—multi-player coordination games and reasoning benchmarks—and find that it achieves up to $27$% improvement over natural language communication across datasets with $<$$1/4$ the compute, illustrating the superiority and robustness of activations as an alternative "language" for communication between LMs.
|
large language models, multiagent communication, embedding representation, multiagent debate
|
We propose a simple technique whereby language models communicate via activations, which outperforms traditional natural language communication at a fraction of the compute required.
| 12,901 |
2501.14082
|
[
-0.04350430518388748,
-0.015149911865592003,
-0.002913018921390176,
0.02125385031104088,
0.0428517647087574,
0.019833147525787354,
0.03231051191687584,
0.01061992533504963,
-0.013912757858633995,
-0.017406273633241653,
-0.00981155876070261,
0.061281412839889526,
-0.050294142216444016,
-0.004641031846404076,
-0.0007338878349401057,
0.07128774374723434,
0.02281339280307293,
-0.016570143401622772,
0.022662969306111336,
0.0011109472252428532,
-0.028125394135713577,
0.0022280539851635695,
0.0503203310072422,
0.013972323387861252,
0.03912341594696045,
0.007869135588407516,
0.01997283287346363,
-0.005559312179684639,
-0.032259501516819,
-0.0012436266988515854,
0.04188394173979759,
-0.01927487552165985,
0.012050037272274494,
-0.030686574056744576,
0.0027572691906243563,
-0.00004985335181117989,
-0.043672725558280945,
0.035096682608127594,
0.0068428837694227695,
0.007456277031451464,
-0.040280696004629135,
0.04844874516129494,
-0.020284313708543777,
0.006900699809193611,
-0.06688157469034195,
0.019389165565371513,
-0.12578974664211273,
0.018448038026690483,
0.037179213017225266,
-0.023865006864070892,
-0.12313912063837051,
-0.012719478458166122,
0.002082899445667863,
0.008993277326226234,
0.012554002925753593,
0.03810446336865425,
0.03173079714179039,
-0.09950727969408035,
0.003116216277703643,
-0.03036661259829998,
-0.026224257424473763,
0.01694229617714882,
0.02023998089134693,
-0.015095021575689316,
-0.007425130344927311,
-0.03870021924376488,
0.012303397059440613,
0.021923255175352097,
-0.06610555201768875,
-0.030814476311206818,
-0.03226730227470398,
0.013838415034115314,
-0.031079519540071487,
-0.02037055417895317,
0.0006198280025273561,
-0.038174498826265335,
0.028764454647898674,
0.037303000688552856,
0.050983838737010956,
-0.02756865695118904,
-0.014499779790639877,
0.035097744315862656,
0.02722598798573017,
0.037303484976291656,
0.00926095712929964,
0.008002802729606628,
0.0023711659014225006,
-0.023816494271159172,
-0.06953822821378708,
0.029172997921705246,
-0.0038457754999399185,
-0.06920332461595535,
0.006227900739759207,
0.020113445818424225,
0.03232958912849426,
0.02823777310550213,
0.009860114194452763,
0.04097002372145653,
-0.015060833655297756,
0.011604245752096176,
-0.014639412984251976,
-0.02763202413916588,
0.016347413882613182,
0.012972340919077396,
-0.10148832201957703,
-0.019470710307359695,
-0.023728737607598305,
-0.023838024586439133,
-0.0013898101169615984,
0.004259404260665178,
-0.0186866894364357,
-0.034423619508743286,
0.022853225469589233,
-0.01825748197734356,
-0.09332060813903809,
0.02638258971273899,
0.006100504659116268,
0.04025925695896149,
-0.009403817355632782,
0.019063130021095276,
0.08695175498723984,
0.049570150673389435,
-0.0020153550431132317,
0.060296766459941864,
-0.006542960647493601,
-0.0022518846672028303,
0.0018945224583148956,
0.024589581415057182,
-0.03525438904762268,
-0.03741049766540527,
0.04361541196703911,
0.03334396332502365,
0.012581468559801579,
0.025332467630505562,
0.006151863373816013,
-0.00924772210419178,
0.011154682375490665,
-0.006880465894937515,
0.03632392734289169,
-0.0039031668566167355,
-0.007844366133213043,
0.011089793406426907,
0.06588710844516754,
0.0015260771615430713,
0.04397021606564522,
0.003246957901865244,
-0.028907937929034233,
-0.012876865454018116,
-0.035875558853149414,
0.0051807984709739685,
0.014353877864778042,
-0.0370575487613678,
0.012733306735754013,
-0.045672040432691574,
0.01670115441083908,
0.0809950977563858,
0.012006592005491257,
-0.0011423625983297825,
0.00962356012314558,
0.01792331226170063,
0.006143577862530947,
-0.02018732763826847,
-0.041432976722717285,
-0.004586752504110336,
-0.014769874513149261,
-0.055535245686769485,
0.006368688307702541,
0.020976759493350983,
-0.03396536782383919,
0.019700754433870316,
-0.001349905040115118,
-0.02447417750954628,
0.05826037377119064,
-0.025489985942840576,
-0.03866443783044815,
0.0018721631495282054,
0.05823986604809761,
0.01862793229520321,
0.0501784086227417,
0.013961226679384708,
-0.06851602345705032,
0.01296140719205141,
-0.0051171681843698025,
0.017704229801893234,
0.01408117264509201,
-0.008238718844950199,
0.08924245089292526,
-0.04801716282963753,
-0.000035538301744963974,
0.03664424270391464,
-0.07307536154985428,
0.010673693381249905,
0.041388966143131256,
0.003727889619767666,
0.06117413565516472,
0.0072406986728310585,
-0.009989711456000805,
0.04995248094201088,
0.054869960993528366,
0.043011631816625595,
0.061758216470479965,
-0.014059255830943584,
0.05500195920467377,
0.024535616859793663,
-0.001740449108183384,
0.0215397197753191,
0.014879507943987846,
-0.03545314446091652,
-0.02720159851014614,
0.041085317730903625,
-0.041970882564783096,
-0.006143453996628523,
0.03181978315114975,
-0.0035488626454025507,
0.044791754335165024,
-0.012944788672029972,
-0.025043945759534836,
-0.014639759436249733,
0.007625858299434185,
-0.044206589460372925,
0.03483710065484047,
0.024731788784265518,
0.002633955329656601,
0.009224914945662022,
-0.039922941476106644,
0.08393965661525726,
0.0609121136367321,
-0.02134433574974537,
-0.012808304280042648,
0.018975641578435898,
-0.017847735434770584,
0.006524607073515654,
0.022032316774129868,
-0.0237790085375309,
0.035707976669073105,
-0.05619450658559799,
-0.01044117659330368,
-0.03428373485803604,
0.009292078204452991,
-0.030468115583062172,
-0.026812413707375526,
0.06174768507480621,
-0.033617403358221054,
0.05702828988432884,
-0.010823911987245083,
0.04404641315340996,
0.021541006863117218,
-0.02430160529911518,
0.014378742314875126,
-0.003253786126151681,
-0.017816629260778427,
-0.00766840111464262,
0.008596500381827354,
-0.005340195260941982,
0.02023899555206299,
-0.04512554407119751,
0.0035220475401729345,
-0.03777668625116348,
0.06464731693267822,
0.030346985906362534,
0.02690025046467781,
0.04903757572174072,
-0.0061147804372012615,
-0.03362004831433296,
-0.0031808558851480484,
-0.12348786741495132,
-0.030793098732829094,
-0.02956770546734333,
0.0014629922807216644,
0.007313743233680725,
0.05412541702389717,
-0.024121688678860664,
0.03146739676594734,
-0.0150388702750206,
-0.020415140315890312,
0.0027116993442177773,
0.004434762988239527,
-0.02815587818622589,
-0.031157223507761955,
-0.017463503405451775,
-0.007349442690610886,
0.05806121230125427,
-0.0007478144834749401,
-0.0028395731933414936,
-0.04365113750100136,
-0.029699714854359627,
-0.019675154238939285,
-0.06704554706811905,
0.006247208919376135,
0.003899441799148917,
0.04072755575180054,
0.007092803250998259,
-0.002407247666269541,
0.01902816630899906,
0.04122722148895264,
0.04706244543194771,
0.03679417073726654,
-0.003583809593692422,
-0.007580201141536236,
0.041616328060626984,
-0.034939199686050415,
0.008181584067642689,
-0.015240957029163837,
0.021127231419086456,
-0.007960513234138489,
-0.0316176638007164,
0.018109751865267754,
0.014971813187003136,
-0.2812085747718811,
-0.015695711597800255,
0.015125658363103867,
-0.00851980596780777,
0.025830522179603577,
-0.03625474125146866,
0.06258708238601685,
-0.048895128071308136,
-0.027801357209682465,
0.0330050103366375,
0.018591927364468575,
0.016395283862948418,
0.007427397184073925,
0.042042165994644165,
0.049094703048467636,
0.02945919893682003,
-0.012056796811521053,
-0.02926984615623951,
0.00462165055796504,
0.036786213517189026,
-0.01576736755669117,
-0.05112890154123306,
-0.021090585738420486,
0.05163269490003586,
0.019500479102134705,
0.050280723720788956,
-0.06779158115386963,
-0.017782557755708694,
-0.0346234068274498,
0.010928616859018803,
-0.01440500095486641,
-0.013864862732589245,
0.017139077186584473,
0.027994580566883087,
0.009491557255387306,
-0.006869686301797628,
0.0772312730550766,
0.024836640805006027,
0.02751654013991356,
-0.005308619700372219,
0.02306157723069191,
-0.014635023660957813,
-0.01954600028693676,
-0.014280205592513084,
0.05223936587572098,
0.02365204319357872,
-0.0766180083155632,
-0.01252778246998787,
-0.02427494339644909,
0.043019767850637436,
-0.021727919578552246,
-0.03554017096757889,
-0.004790301900357008,
-0.0015615841839462519,
0.002859006868675351,
-0.0015062266029417515,
-0.016186071559786797,
-0.04159892722964287,
-0.024732165038585663,
0.008262193761765957,
0.0014420411316677928,
-0.019658127799630165,
-0.028021207079291344,
-0.024339938536286354,
-0.009568886831402779,
-0.04348040744662285,
-0.07040593773126602,
-0.05179833993315697,
0.05289321765303612,
0.03638744726777077,
-0.02533024363219738,
-0.005753221455961466,
-0.010301840491592884,
-0.09920921176671982,
-0.023302748799324036,
0.013533324934542179,
-0.05023127794265747,
-0.03204242140054703,
0.00775882788002491,
0.059861667454242706,
-0.05407813936471939,
-0.04488556832075119,
-0.032238397747278214,
-0.010022195987403393,
0.010755348950624466,
0.006974497344344854,
0.025850040838122368,
-0.030101532116532326,
-0.029230093583464622,
-0.028955737128853798,
0.04165273159742355,
0.02486693672835827,
0.006034799385815859,
0.0372348427772522,
0.04888644441962242,
0.04071749001741409,
0.03999105840921402,
0.048001762479543686,
0.021796587854623795,
0.015762798488140106,
0.015916896983981133,
-0.07426009327173233,
0.0011874642223119736,
0.0042282771319150925,
-0.021588768810033798,
0.015637533739209175,
-0.04674656689167023,
-0.031211787834763527,
0.03162800148129463,
0.00010274419764755294,
-0.040806036442518234,
-0.05036348104476929,
0.00005131238867761567,
0.015265602618455887,
-0.022224560379981995,
0.00773146515712142,
-0.012309078127145767,
0.046994198113679886,
-0.029217874631285667,
-0.037091609090566635,
-0.05031215399503708,
0.03193172439932823,
-0.0103198466822505,
0.00677835987880826,
0.024737520143389702,
0.005428185220807791,
-0.014120013453066349,
-0.01930246129631996,
-0.023823998868465424,
-0.01290487963706255,
0.016678720712661743,
0.0020061908289790154,
-0.009216262958943844,
0.0035302462056279182,
0.05160696804523468,
-0.01463753916323185,
-0.0157336238771677,
-0.004220149479806423,
0.006583650596439838,
-0.020307501778006554,
0.016435451805591583,
-0.036254361271858215,
0.03004390001296997,
0.021744877099990845,
-0.005390412639826536,
-0.012076054699718952,
-0.004590118303894997,
0.0042080990970134735,
0.01148347556591034,
-0.0044607906602323055,
0.05372656136751175,
-0.0548061802983284,
-0.0062349396757781506,
-0.013345235958695412,
0.04491417482495308,
0.0034701141994446516,
0.0366521030664444,
-0.023487411439418793,
0.002604937180876732,
-0.06817762553691864,
0.04575629159808159,
-0.01188307348638773,
-0.017917845398187637,
-0.0009605237282812595,
0.028212333098053932,
0.04197822883725166,
-0.04758596420288086,
-0.004611077252775431,
0.03401366248726845,
0.0007914065499790013,
0.023487942293286324,
-0.04264482483267784,
-0.049325305968523026,
0.01698135957121849,
-0.016883933916687965,
0.014218120835721493,
0.01603909581899643,
-0.026570558547973633,
-0.008315921761095524,
0.03541192784905434,
0.016974035650491714,
-0.03811439499258995,
-0.018467912450432777,
-0.00816817581653595,
0.080366350710392,
0.01226239837706089,
0.05000047758221626,
0.036994803696870804,
-0.03654402866959572,
0.006894631311297417,
-0.018887393176555634,
0.024821382015943527,
-0.01824427768588066,
-0.035472508519887924,
-0.048502855002880096,
-0.034375302493572235,
0.026886723935604095,
-0.0017351176356896758,
-0.004837498068809509,
0.02238772250711918,
0.026267504319548607,
-0.00971752218902111,
-0.05263752117753029,
-0.023382438346743584,
0.030482051894068718,
-0.08179541677236557,
0.005030775908380747,
0.011342805810272694,
0.0025744896847754717,
0.015168274752795696,
-0.019956044852733612,
0.008393673226237297,
-0.08069469034671783,
-0.02362756058573723,
0.024481607601046562,
-0.029727328568696976,
-0.03945939615368843,
-0.027271674945950508,
0.002089946297928691,
0.0028864548075944185,
-0.005275461822748184,
-0.01625089719891548,
-0.01988845132291317,
-0.03531433641910553,
-0.008915667422115803,
0.012271858751773834,
-0.01902194321155548,
-0.021615134552121162,
0.008700421079993248,
-0.04619155079126358,
0.031119389459490776,
-0.047100819647312164,
0.04141736403107643,
0.04481751471757889,
0.015993425622582436,
0.02427693083882332,
-0.05310492962598801,
0.0284635741263628,
0.004367366433143616,
-0.01628038100898266,
0.002851206809282303,
-0.01648772321641445,
-0.03511151671409607,
0.009421847760677338,
0.0027177282609045506,
0.052147265523672104,
-0.01169647928327322,
0.007663564756512642,
-0.010818912647664547,
0.012320316396653652,
0.005713554099202156,
-0.007799289654940367,
-0.027653023600578308,
0.0066541703417897224,
0.06324108690023422,
-0.06022297963500023,
-0.032139603048563004,
-0.034038394689559937,
-0.05909217894077301,
-0.008139235898852348,
-0.0168312955647707,
0.011297005228698254,
-0.059879716485738754,
0.05353633686900139,
0.008792354725301266,
0.03461273014545441,
0.026086898520588875,
-0.0042972625233232975,
0.04174564778804779,
-0.016385577619075775,
0.004052804782986641,
-0.08158218860626221,
-0.01906813122332096,
0.05459411442279816,
-0.035335030406713486,
-0.016077063977718353,
0.016198724508285522,
-0.03018544800579548,
0.016647757962346077,
-0.0021159097086638212,
-0.01880507357418537,
0.04856898635625839,
-0.001475370954722166,
-0.030529353767633438,
0.0353245809674263,
-0.07146894931793213,
-0.029555190354585648,
-0.03255702555179596,
-0.040525730699300766,
0.004288395866751671,
-0.019189395010471344,
0.0510411411523819,
-0.02423807978630066,
0.014120732434093952,
-0.022901074960827827,
-0.014104899019002914,
0.01606469787657261,
0.06407079845666885,
0.03840635344386101,
0.019771229475736618,
-0.0239624734967947,
0.07293543964624405,
0.039792899042367935,
0.03164653107523918,
0.008225367404520512,
0.0027640911284834146,
-0.03272222727537155,
-0.04997893422842026,
0.05679791420698166,
-0.010481870733201504,
0.004605865105986595,
-0.06404681503772736,
0.08129049837589264,
0.027548201382160187,
-0.030024049803614616,
-0.020493431016802788,
0.018009738996624947,
-0.06607567518949509,
-0.003062455914914608,
0.0036891093477606773,
0.019728323444724083,
0.0005023650010116398,
0.057095035910606384,
0.014844212681055069,
0.06058444455265999,
0.06768718361854553,
0.015322763472795486,
-0.04631044715642929,
0.01654580794274807,
0.059709712862968445,
0.06505952775478363,
0.0793638527393341,
0.03443038463592529,
0.07065746933221817,
-0.01918640173971653,
-0.056393422186374664,
0.019305305555462837,
0.025230098515748978,
-0.006874407641589642,
-0.00420139916241169,
0.013917853124439716,
0.07270298153162003,
-0.026710577309131622,
0.06523078680038452,
-0.03728456050157547,
-0.01124701276421547,
0.06948579102754593,
0.007357447873800993,
-0.022878704592585564,
0.042541421949863434,
0.036424342542886734,
0.017493873834609985,
-0.006831728853285313,
-0.019554097205400467,
0.02792237512767315,
-0.052423715591430664,
0.0026752317789942026,
0.014259754680097103,
-0.006101023405790329,
0.014808734878897667,
0.007886375300586224,
0.06687159836292267,
0.13321733474731445,
-0.03571433946490288,
-0.010827207006514072,
0.0236818827688694,
0.012786081992089748,
0.018510915338993073,
0.012230001389980316,
0.01593451015651226,
-0.007310265209525824,
0.010361636988818645,
-0.04409303516149521,
0.0013571091694757342,
0.008679543621838093,
-0.019784675911068916,
0.042162761092185974,
-0.019600797444581985,
-0.03958527743816376,
0.004690308123826981,
0.03194187209010124,
-0.04651804640889168,
-0.0387878343462944,
-0.04470987617969513,
-0.05997558310627937,
-0.04385678842663765,
-0.049624983221292496,
0.041533175855875015,
-0.004361251834779978,
-0.028475966304540634,
0.02014375664293766,
-0.04169117286801338,
-0.025613805279135704,
-0.024119766429066658,
-0.06609151512384415,
0.004347114823758602,
0.06268403679132462,
0.020947225391864777,
-0.02286137454211712,
0.027086785063147545,
0.02844581939280033,
-0.008425891399383545,
0.004997427109628916,
0.008168197236955166,
0.028395041823387146,
0.004591022618114948,
0.017702355980873108,
-0.015462532639503479,
-0.10086271911859512,
-0.010264868848025799,
0.0007116554770618677,
-0.03237636759877205,
-0.07229747623205185,
0.025557542219758034,
-0.0294733215123415,
0.04001881182193756,
0.07064153999090195,
0.03303723409771919,
0.02957236021757126,
-0.01962168700993061,
0.008824240416288376,
0.02589193731546402,
0.022331194952130318,
0.038153551518917084,
-0.009454773738980293,
0.08137582987546921,
0.05514102056622505,
-0.051270417869091034,
-0.05202557146549225,
0.022754976525902748,
-0.01986650377511978,
-0.006908556912094355,
-0.0275845006108284,
-0.04884035885334015,
0.0078077553771436214,
-0.09204423427581787,
-0.034338418394327164,
0.031807877123355865,
-0.0030842332635074854,
-0.05790382996201515,
0.016107505187392235,
-0.02375113219022751,
-0.02009732276201248,
-0.0034671889152377844,
-0.04643669351935387,
-0.031008172780275345,
-0.009469195269048214,
-0.043153658509254456,
-0.054280202835798264,
-0.005461476743221283,
-0.01993195153772831,
-0.01837899535894394,
-0.03082958608865738,
-0.05132831260561943,
-0.009990477003157139,
0.02534119039773941,
0.03163384273648262,
-0.0022818297147750854,
0.030500570312142372,
-0.02118529938161373
] | null |
583 |
Extracting Rare Dependence Patterns via Adaptive Sample Reweighting
|
https://openreview.net/forum?id=iIPAdNq9cq
|
[
"Yiqing Li",
"Yewei Xia",
"Xiaofei Wang",
"Zhengming Chen",
"Liuhua Peng",
"Mingming Gong",
"Kun Zhang"
] |
Poster
|
Discovering dependence patterns between variables from observational data is a fundamental issue in data analysis. However, existing testing methods often fail to detect subtle yet critical patterns that occur within small regions of the data distribution--patterns we term rare dependence. These rare dependencies obscure the true underlying dependence structure in variables, particularly in causal discovery tasks.
To address this issue, we propose a novel testing method that combines kernel-based (conditional) independence testing with adaptive sample importance reweighting. By learning and assigning higher importance weights to data points exhibiting significant dependence, our method amplifies the patterns and can detect them successfully. Theoretically, we analyze the asymptotic distributions of the statistics in this method and show the uniform bound of the learning scheme. Furthermore, we integrate our tests into the PC algorithm, a constraint-based approach for causal discovery, equipping it to uncover causal relationships even in the presence of rare dependence. Empirical evaluation of synthetic and real-world datasets comprehensively demonstrates the efficacy of our method.
|
Independence tests, Sample reweighting, Causal discovery
| null | 12,900 | null |
[
-0.037627577781677246,
-0.02637387067079544,
0.01970490999519825,
0.03472081199288368,
0.06700818240642548,
0.05472986772656441,
0.012770194560289383,
-0.03267762064933777,
-0.02338353544473648,
-0.029681438580155373,
-0.03376077488064766,
0.037546731531620026,
-0.05838556960225105,
0.0008131878566928208,
-0.007830779068171978,
0.046223849058151245,
0.04897978529334068,
-0.020439844578504562,
-0.0066520594991743565,
0.008827771060168743,
0.0157232154160738,
-0.004459278658032417,
0.01074384804815054,
0.048464540392160416,
0.0316275916993618,
-0.02808981016278267,
0.07747254520654678,
-0.017666414380073547,
-0.03728809952735901,
0.031971320509910583,
0.038095131516456604,
0.029120761901140213,
0.0070117018185555935,
-0.029845502227544785,
-0.002487955614924431,
0.04571543633937836,
0.005162699613720179,
-0.011170346289873123,
-0.02377977967262268,
0.014243884943425655,
-0.022021472454071045,
-0.02677568607032299,
-0.014228600077331066,
0.012552481144666672,
-0.05651421844959259,
0.02656439132988453,
-0.11680926382541656,
0.0395011343061924,
0.02241683378815651,
-0.024445880204439163,
-0.09016202390193939,
0.014833551831543446,
0.011366643942892551,
-0.016255129128694534,
0.03777309134602547,
0.041752781718969345,
0.028535153716802597,
-0.05338742956519127,
0.01945365034043789,
-0.0660441517829895,
-0.032429248094558716,
-0.005728690419346094,
-0.006316966377198696,
0.020815648138523102,
-0.025335682556033134,
-0.03247500956058502,
0.032075271010398865,
0.05025726184248924,
-0.043325792998075485,
-0.056109193712472916,
-0.034118615090847015,
-0.026728633791208267,
-0.012858396396040916,
0.013496926985681057,
0.010317834094166756,
-0.021850666031241417,
0.013920282945036888,
-0.011214202269911766,
0.034518707543611526,
0.016019485890865326,
0.04991249740123749,
-0.008622420020401478,
0.008878614753484726,
-0.0019738003611564636,
0.021303728222846985,
-0.03526490554213524,
-0.005352094303816557,
-0.03855704888701439,
-0.05903641879558563,
0.06770223379135132,
-0.010304820723831654,
-0.03389662131667137,
0.04994622990489006,
0.01474089827388525,
-0.0048566884361207485,
-0.019464630633592606,
0.05928463488817215,
0.009687647223472595,
0.0032931321766227484,
-0.01775169186294079,
-0.0049224793910980225,
-0.010087932460010052,
0.011511826887726784,
0.020944107323884964,
-0.09717542678117752,
-0.037376951426267624,
0.01749544031918049,
-0.014305942691862583,
-0.018855294212698936,
0.00256307958625257,
-0.03289478272199631,
0.019871020689606667,
0.03246277943253517,
0.015578635036945343,
-0.11216574907302856,
0.04294515773653984,
0.008752120658755302,
0.015305672772228718,
-0.0019523270893841982,
-0.0031983654480427504,
0.034523751586675644,
0.036891352385282516,
-0.02453482896089554,
0.061016153544187546,
-0.015507611446082592,
0.021852891892194748,
0.026554619893431664,
0.051263920962810516,
0.004036764148622751,
-0.019253062084317207,
0.030680734664201736,
0.03652934357523918,
0.004886920098215342,
-0.01683763600885868,
0.005318226758390665,
0.003592881141230464,
-0.011100316420197487,
0.03558972850441933,
0.03948187083005905,
0.0018698358908295631,
0.014593161642551422,
-0.05315103754401207,
0.016066603362560272,
-0.028577739372849464,
0.028038112446665764,
-0.03162936493754387,
0.012704651802778244,
-0.006079887971282005,
-0.01735222525894642,
-0.001734238932840526,
0.036199308931827545,
0.013599776662886143,
0.034838758409023285,
-0.05139128863811493,
-0.02130632847547531,
0.029169492423534393,
-0.03175850957632065,
-0.028116289526224136,
-0.012248118408024311,
0.0034732064232230186,
0.032101064920425415,
-0.00537727540358901,
0.010337802581489086,
0.02435361035168171,
-0.004856589715927839,
-0.03945860639214516,
0.0683729350566864,
0.04447750747203827,
-0.054313428699970245,
0.017541445791721344,
-0.05667870119214058,
-0.06150349602103233,
0.06630358844995499,
0.007113725412636995,
-0.010990895330905914,
0.009168759919703007,
0.058053288608789444,
-0.015696153044700623,
0.01680651865899563,
0.045246947556734085,
-0.06901407986879349,
0.012410815805196762,
-0.011895365081727505,
-0.03034134767949581,
-0.015376306138932705,
-0.006180595140904188,
0.07998906075954437,
-0.06259860843420029,
0.011833234690129757,
-0.0038638317491859198,
-0.0888778567314148,
-0.017765428870916367,
0.03644602745771408,
-0.0042092748917639256,
0.03054763749241829,
0.030866188928484917,
-0.049825288355350494,
0.02842646650969982,
0.02276567928493023,
0.00919489748775959,
-0.00640656566247344,
-0.012848464772105217,
0.04021293669939041,
-0.011469805613160133,
-0.060000400990247726,
-0.02016712911427021,
0.042359232902526855,
-0.04541777819395065,
-0.08573537319898605,
-0.0140701774507761,
-0.012566700577735901,
0.005444264970719814,
-0.011331040412187576,
0.0070432680658996105,
0.030317462980747223,
0.023046931251883507,
-0.023150017485022545,
0.014905260875821114,
0.015438411384820938,
-0.05085542052984238,
0.04230838641524315,
-0.0237951148301363,
0.002905612112954259,
0.045222897082567215,
-0.0011474986094981432,
0.08089041709899902,
0.08945968747138977,
0.0008425410487689078,
0.024021413177251816,
0.017955226823687553,
-0.007703934796154499,
0.012201668694615364,
0.029635582119226456,
-0.04502071812748909,
0.02731127105653286,
-0.0051964703015983105,
-0.004061466082930565,
-0.022052913904190063,
0.06190904974937439,
-0.039241399616003036,
0.006123815663158894,
0.08843100816011429,
-0.006828892044723034,
0.0706344023346901,
0.003499729325994849,
0.003136277198791504,
0.03750750422477722,
-0.013422885909676552,
-0.05606311559677124,
-0.016567789018154144,
-0.0003508474037516862,
0.008762175217270851,
0.002826621290296316,
-0.012491661123931408,
-0.00021408703469205648,
-0.023787524551153183,
-0.01216496154665947,
0.02518070861697197,
0.02994156815111637,
0.027715858072042465,
0.011441142298281193,
0.012280954048037529,
0.01631694659590721,
-0.043224677443504333,
0.008610688149929047,
-0.10316399484872818,
-0.05812094733119011,
0.0016257833922281861,
0.06520591676235199,
-0.014668310061097145,
0.037087731063365936,
-0.04238896816968918,
0.018648186698555946,
0.02315780520439148,
-0.026545831933617592,
-0.03657669574022293,
0.02578118070960045,
0.029159152880311012,
-0.04279821738600731,
-0.023558370769023895,
-0.00297669880092144,
0.06782940030097961,
-0.011207745410501957,
-0.008159519173204899,
-0.017321225255727768,
-0.04098907858133316,
-0.0572383739054203,
-0.0013950268039479852,
-0.01122483890503645,
0.01786244474351406,
-0.005475663114339113,
0.021575504913926125,
-0.04697028920054436,
0.009677729569375515,
0.05383222550153732,
0.04294116050004959,
0.026040595024824142,
0.016793541610240936,
0.005151481833308935,
0.03137904405593872,
-0.006067890208214521,
0.04003065824508667,
0.012456991709768772,
0.003042109776288271,
0.018403999507427216,
-0.011025024577975273,
-0.01856922172009945,
0.013766740448772907,
-0.2746046483516693,
-0.000161618459969759,
0.04842973127961159,
-0.02019435726106167,
0.0588616319000721,
-0.0411321297287941,
0.04921075701713562,
-0.021805131807923317,
-0.03791482746601105,
0.031280141323804855,
0.030029866844415665,
0.022545980289578438,
0.026136988773941994,
0.06326325237751007,
0.01804284192621708,
0.04487915337085724,
0.02744552120566368,
-0.016191178932785988,
0.047137245535850525,
0.04983554035425186,
0.012177698314189911,
-0.03980376571416855,
-0.02055525779724121,
0.02947992831468582,
-0.048663776367902756,
0.02673366665840149,
-0.04685024172067642,
0.04774937778711319,
-0.0541466623544693,
-0.019272420555353165,
-0.005708920769393444,
-0.02703048661351204,
-0.03380117937922478,
0.0266090277582407,
0.029328059405088425,
0.004154468420892954,
0.020635975524783134,
0.009303447790443897,
0.010989432223141193,
0.047466959804296494,
0.021121317520737648,
-0.023454105481505394,
-0.003997846972197294,
0.008857348933815956,
0.048839639872312546,
0.00426124082878232,
-0.016293372958898544,
-0.022293293848633766,
-0.015103384852409363,
0.04299377650022507,
-0.029323337599635124,
-0.05799062177538872,
-0.02671179734170437,
0.003695898922160268,
-0.02052481472492218,
-0.033466484397649765,
-0.004418130964040756,
-0.02589266374707222,
-0.05252674221992493,
0.03563627228140831,
0.0077906325459480286,
-0.04842749238014221,
0.02204836905002594,
-0.07420141994953156,
-0.015532354824244976,
-0.03622836247086525,
-0.06206515058875084,
-0.09904975444078445,
0.028799250721931458,
-0.005829154048115015,
-0.023088686168193817,
0.0014908574521541595,
0.0005102889845147729,
-0.09644544869661331,
0.005469494964927435,
-0.013085401616990566,
0.008199242874979973,
0.006812286097556353,
-0.009346670471131802,
0.045155029743909836,
0.0165055301040411,
-0.015728015452623367,
0.018259799107909203,
0.006811546627432108,
0.011406025849282742,
-0.01887882500886917,
-0.03258349373936653,
0.01099669374525547,
-0.06245674937963486,
-0.029754716902971268,
0.018782982602715492,
-0.010427836328744888,
0.040418241173028946,
0.030676407739520073,
0.029365545138716698,
0.051053695380687714,
0.03605370596051216,
0.05527602881193161,
0.03329413756728172,
-0.003835543990135193,
0.02472289279103279,
-0.10172343999147415,
-0.03625640273094177,
-0.049926333129405975,
-0.0035619959235191345,
0.03598521277308464,
-0.05229276046156883,
0.007934996858239174,
0.03289439156651497,
-0.03422026336193085,
0.012382661923766136,
-0.0558355450630188,
-0.0053980788215994835,
-0.02132761850953102,
0.0117257134988904,
-0.054314613342285156,
-0.010590448044240475,
0.01939389854669571,
0.01853630505502224,
0.00667189247906208,
-0.034311290830373764,
0.024928079918026924,
0.004930985625833273,
-0.027579301968216896,
0.00198841979727149,
-0.0036890620831400156,
0.006069841329008341,
-0.023685313761234283,
-0.01386658102273941,
-0.023512858897447586,
0.031084824353456497,
0.027747485786676407,
0.042612265795469284,
0.025131335482001305,
0.04300479218363762,
-0.00701812282204628,
-0.007847248576581478,
-0.007822701707482338,
-0.0019319135462865233,
-0.050874415785074234,
0.0010322289308533072,
0.0008864711271598935,
0.034521132707595825,
0.009291812777519226,
0.05682956799864769,
-0.021262798458337784,
0.006031408440321684,
-0.007188884541392326,
-0.000029766968509647995,
-0.03886943683028221,
0.008887245319783688,
-0.004172653425484896,
-0.013079265132546425,
-0.014969305135309696,
-0.012711682356894016,
0.005074998829513788,
0.08157990127801895,
-0.004163574427366257,
0.03133324906229973,
-0.06190899387001991,
0.075258269906044,
-0.040679238736629486,
0.01818927377462387,
-0.02124897390604019,
0.01142753567546606,
0.0645851269364357,
-0.0309511236846447,
0.019940540194511414,
0.016303833574056625,
0.021599961444735527,
0.027760736644268036,
-0.022505784407258034,
-0.009423583745956421,
0.018568020313978195,
-0.013162363320589066,
0.01859929971396923,
-0.003677142085507512,
-0.0426536500453949,
-0.02303769439458847,
0.02293526940047741,
-0.01742422953248024,
-0.01726587675511837,
-0.029452942311763763,
0.009907158091664314,
0.06276141852140427,
0.00615113228559494,
-0.007805492263287306,
-0.009367315098643303,
-0.049972545355558395,
0.043464548885822296,
-0.018026202917099,
0.005014707334339619,
-0.012317463755607605,
-0.02401125058531761,
-0.009946896694600582,
-0.040671207010746,
0.009580212645232677,
0.002948237583041191,
-0.02566627971827984,
-0.0025059969630092382,
-0.012721847742795944,
-0.013661384582519531,
0.0056930650025606155,
-0.020739562809467316,
0.04684300348162651,
-0.06898055225610733,
0.01690678484737873,
0.04497675597667694,
-0.0487426333129406,
0.02074599079787731,
-0.04890013486146927,
-0.06476601213216782,
-0.03083241544663906,
0.009711315855383873,
0.0067892600782215595,
-0.01725284568965435,
-0.012838299386203289,
0.0030604081694036722,
0.01558698434382677,
-0.011666608974337578,
0.039344385266304016,
0.008224869146943092,
0.01940922811627388,
-0.015833493322134018,
0.005579426418989897,
0.04529748111963272,
-0.002358550438657403,
-0.04272166267037392,
0.021991673856973648,
-0.023770533502101898,
-0.007566142361611128,
-0.0445605106651783,
-0.012743758969008923,
0.03679439052939415,
-0.008339447900652885,
-0.0379607193171978,
-0.013834127224981785,
0.04363451525568962,
0.012428803369402885,
-0.04358378052711487,
-0.021874941885471344,
0.008650997653603554,
-0.0151063222438097,
-0.00043627750710584223,
0.02494484931230545,
0.03834478184580803,
0.0026199149433523417,
0.016222761943936348,
0.02008993551135063,
0.024552378803491592,
-0.015958579257130623,
0.015291464515030384,
-0.06296708434820175,
0.005524402484297752,
0.06669023633003235,
-0.053288958966732025,
-0.030444417148828506,
-0.09514718502759933,
0.00048039373359642923,
0.020729469135403633,
0.006853219121694565,
-0.017335377633571625,
-0.0072609432972967625,
0.03165144473314285,
0.019720619544386864,
0.0614284873008728,
-0.0026099702809005976,
-0.013093097135424614,
0.05227364972233772,
-0.07386184483766556,
0.0011956035159528255,
-0.04178107529878616,
0.015954703092575073,
0.06068568676710129,
-0.06398973613977432,
0.012048597447574139,
-0.002093593357130885,
0.009337552823126316,
0.017709927633404732,
0.010528601706027985,
-0.0828278437256813,
-0.03395623713731766,
-0.04972841963171959,
0.00624053506180644,
0.03347345069050789,
-0.05068185180425644,
-0.02499558962881565,
-0.018465904518961906,
-0.023051952943205833,
-0.021059701219201088,
0.01079742331057787,
0.049814485013484955,
-0.013943498022854328,
0.00267022498883307,
-0.0364280641078949,
0.009961500763893127,
0.019328560680150986,
0.06063809618353844,
0.02507256157696247,
-0.0003634813183452934,
-0.07552949339151382,
0.08094459772109985,
0.023022396489977837,
0.008528005331754684,
0.0143511313945055,
-0.0011965717421844602,
0.0010662967106327415,
-0.037516772747039795,
0.05381131172180176,
0.01401523593813181,
-0.03117753565311432,
-0.07443104684352875,
0.056666720658540726,
0.0567157082259655,
-0.04493652656674385,
-0.03156842291355133,
-0.0007997594657354057,
-0.021181439980864525,
0.017432067543268204,
0.03932154178619385,
-0.0397120825946331,
0.019390981644392014,
0.08545424044132233,
-0.023032553493976593,
0.05069412291049957,
0.04679287597537041,
0.027458591386675835,
0.025313761085271835,
-0.044435277581214905,
0.08508781343698502,
0.07407067716121674,
0.0219504963606596,
0.006064068526029587,
0.07193099707365036,
-0.04723336175084114,
-0.047995876520872116,
0.01671074517071247,
-0.01257751788944006,
-0.01477382518351078,
-0.006138141267001629,
0.031121179461479187,
0.04957461357116699,
0.01925077848136425,
0.06779813766479492,
-0.011269386857748032,
-0.015769777819514275,
0.05114332586526871,
-0.026452118530869484,
0.031986311078071594,
0.01535964198410511,
-0.012668699026107788,
0.03669408708810806,
-0.03128080442547798,
-0.01603597402572632,
-0.0008801220101304352,
-0.040991030633449554,
0.03840428963303566,
0.028656410053372383,
-0.010723418556153774,
-0.009391565807163715,
0.02354482188820839,
0.010149640962481499,
0.0929778590798378,
-0.026502208784222603,
-0.010631397366523743,
0.01711777038872242,
0.06402980536222458,
-0.012649954296648502,
0.04884999245405197,
-0.0016594384796917439,
-0.00637491000816226,
-0.0012680409708991647,
-0.0592958889901638,
0.03269646316766739,
0.00801178626716137,
0.019115561619400978,
-0.013901030644774437,
-0.013258041813969612,
-0.005209287628531456,
0.04485444352030754,
0.027362553402781487,
-0.046366140246391296,
-0.056691206991672516,
-0.03207119554281235,
-0.01924305409193039,
-0.06884089857339859,
-0.005492235533893108,
0.035420749336481094,
0.02856779843568802,
-0.016966087743639946,
0.009708382189273834,
-0.053417809307575226,
0.02371172234416008,
0.03751116991043091,
-0.060742396861314774,
-0.012051532976329327,
0.04525594785809517,
-0.010763783007860184,
0.025318564847111702,
0.0032692321110516787,
-0.003763966728001833,
-0.02987091615796089,
-0.05558741092681885,
0.01869463175535202,
0.0387725867331028,
0.013047391548752785,
-0.042213644832372665,
-0.03020797111093998,
-0.0856601819396019,
0.010327575728297234,
-0.003196501638740301,
-0.0337996706366539,
-0.0728546530008316,
0.0527171865105629,
-0.03575525060296059,
-0.014685929752886295,
0.04820992425084114,
-0.008163404650986195,
0.01929931528866291,
-0.009315955452620983,
-0.023981908336281776,
0.0015365054132416844,
0.04268781468272209,
0.021631259471178055,
-0.03334956243634224,
0.055041853338479996,
0.019733894616365433,
-0.01661408506333828,
-0.054520491510629654,
0.015571830794215202,
-0.04454322159290314,
-0.01328983437269926,
-0.027963001281023026,
-0.024674326181411743,
-0.02268400974571705,
-0.11287272721529007,
-0.024966133758425713,
0.021853849291801453,
0.00018522828759159893,
-0.009717706590890884,
-0.00040313805220648646,
-0.016571123152971268,
-0.01588517427444458,
-0.006830280646681786,
-0.0017319173784926534,
0.02617107890546322,
-0.057209860533475876,
-0.022651711478829384,
-0.03429783880710602,
0.024777164682745934,
-0.03231624513864517,
0.02179197408258915,
-0.027813628315925598,
-0.03876633942127228,
-0.00198390637524426,
-0.02907072752714157,
0.011950789950788021,
0.009054914116859436,
0.003239183686673641,
-0.010210911743342876
] |
https://github.com/leeedwina430/RKCIT
|
584 |
Online Learning in Risk Sensitive constrained MDP
|
https://openreview.net/forum?id=5s7D7FPuTc
|
[
"Arnob Ghosh",
"Mehrdad Moharrami"
] |
Poster
|
We consider a setting in which the agent aims to maximize the expected cumulative reward, subject to a constraint that the entropic risk of the total utility exceeds a given threshold. Unlike the risk-neutral case, standard primal-dual approaches fail to directly yield regret and violation bounds, as value iteration with respect to a combined state-action value function is not applicable in the risk-sensitive setting. To address this, we adopt the Optimized Certainty Equivalent (OCE) representation of the entropic risk measure and reformulate the problem by augmenting the state space with a continuous budget variable. We then propose a primal-dual algorithm tailored to this augmented formulation. In contrast to the standard approach for risk-neutral CMDPs, our method incorporates a truncated dual update to account for the possible absence of strong duality. We show that the proposed algorithm achieves regret of $\tilde{\mathcal{O}}\big(V_{g,\max}K^{3/4} + \sqrt{H^4 S^2 A \log(1/\delta)}K^{3/4}\big)$ and constraint violation of $\tilde{\mathcal{O}}\big(V_{g,\max} \sqrt{ {H^3 S^2 A \log(1/\delta)}}K^{3/4} \big)$ with probability at least $1-\delta$, where $S$ and $A$ denote the cardinalities of the state and action spaces, respectively, $H$ is the episode length, $K$ is the number of episodes, $\alpha < 0$ is the risk-aversion parameter, and $V_{g,\max} = \frac{1}{|\alpha|}(\exp(|\alpha|H) - 1)$. *To the best of our knowledge, this is the first result establishing sublinear regret and violation bounds for the risk-sensitive CMDP problem.*
|
Augmented State, Constrained MDP, Risk sensitive RL, Robust RL, Primal-Dual algorithm
|
This is the first result that shows sub-linear regret and violation result for risk sensitive constrained MDP
| 12,898 | null |
[
-0.05361737310886383,
-0.014954143203794956,
-0.009386091493070126,
0.05167912691831589,
0.060923982411623,
0.03799464926123619,
0.007798179052770138,
-0.0033731989096850157,
-0.011145551688969135,
-0.04695254564285278,
-0.02887091226875782,
-0.004317983519285917,
-0.049039408564567566,
-0.03501138463616371,
0.019842592999339104,
0.053656548261642456,
0.008210927248001099,
-0.009748046286404133,
0.010745145380496979,
0.018800368532538414,
-0.030878610908985138,
-0.0012312923790886998,
0.025546737015247345,
0.000622710504103452,
0.012020887807011604,
0.01531909964978695,
0.008336765691637993,
0.007965135388076305,
-0.023094309493899345,
-0.004097976256161928,
0.04370513930916786,
-0.012755629606544971,
0.021994631737470627,
0.0011915230425074697,
0.006575914099812508,
0.050837673246860504,
-0.01262668427079916,
0.013457776978611946,
0.01204085722565651,
-0.008514964021742344,
-0.0466579794883728,
0.005212926771491766,
-0.018031295388936996,
0.012431032955646515,
-0.04943656548857689,
0.012122707441449165,
-0.029594995081424713,
-0.002276456682011485,
0.016504915431141853,
-0.05403726547956467,
-0.07832172513008118,
0.03871411085128784,
-0.003236563177779317,
-0.010026223957538605,
-0.010180735029280186,
0.0470760352909565,
0.04240107908844948,
-0.06578367948532104,
-0.010304936207830906,
-0.0663939043879509,
-0.013233729638159275,
0.001277791103348136,
0.011353719048202038,
-0.006409547291696072,
-0.034812409430742264,
0.019903333857655525,
0.010123509913682938,
0.05706433206796646,
-0.03118305653333664,
-0.017765607684850693,
-0.030534345656633377,
-0.008083255030214787,
0.015378261916339397,
0.02785247564315796,
0.0022116804029792547,
-0.05476434901356697,
-0.00919298641383648,
0.017461100593209267,
0.02319219335913658,
0.04376496002078056,
0.013123499229550362,
0.03383119776844978,
0.015322407707571983,
0.02474241517484188,
0.006102466955780983,
-0.013672063127160072,
-0.002688396256417036,
-0.022144455462694168,
-0.0929996445775032,
0.06244731321930885,
-0.019174935296177864,
-0.039732370525598526,
0.012057323008775711,
0.015414293855428696,
0.003962361253798008,
-0.012523810379207134,
0.000960936420597136,
0.06948146969079971,
0.014257618226110935,
-0.018609484657645226,
-0.031649038195610046,
-0.02294677309691906,
-0.016815414652228355,
-0.025915376842021942,
-0.09334971755743027,
-0.023835649713873863,
-0.020717915147542953,
0.022565895691514015,
0.007881755009293556,
0.0431971400976181,
-0.06444276124238968,
-0.00376622355543077,
-0.01249238196760416,
-0.06251785159111023,
-0.08448110520839691,
0.012096695601940155,
0.010528783313930035,
0.06222856417298317,
0.013006246648728848,
-0.014690166339278221,
0.05086212977766991,
0.02544298954308033,
-0.0036117075942456722,
0.056180115789175034,
0.019930999726057053,
0.007988513447344303,
0.041903674602508545,
0.029837576672434807,
-0.013114964589476585,
-0.050428856164216995,
0.02284363843500614,
0.027586525306105614,
-0.011406617239117622,
-0.02141408808529377,
-0.019907811656594276,
0.030440373346209526,
-0.011557190679013729,
0.022417478263378143,
0.01668897084891796,
-0.03894447535276413,
-0.02200336940586567,
-0.03328840062022209,
0.08030952513217926,
0.0307404026389122,
0.05928335711359978,
-0.022206109017133713,
0.04262392967939377,
-0.018272416666150093,
-0.07791406661272049,
-0.018000980839133263,
0.002328579081222415,
-0.030758662149310112,
0.017204944044351578,
-0.040712833404541016,
-0.013495739549398422,
0.040755752474069595,
0.03403930738568306,
0.02849494107067585,
-0.012592324987053871,
0.017764262855052948,
0.03453114628791809,
-0.013258041813969612,
-0.018539974465966225,
-0.02638067491352558,
0.011706008575856686,
-0.08556342124938965,
0.1016523540019989,
0.024804461747407913,
-0.0221982654184103,
-0.019693953916430473,
-0.016796335577964783,
-0.018877021968364716,
0.047115132212638855,
-0.011236891150474548,
0.0031567991245537996,
0.005191925913095474,
0.03783787041902542,
-0.005690224003046751,
0.07719234377145767,
-0.008252343162894249,
-0.08492057025432587,
0.021449049934744835,
0.023795967921614647,
-0.0018097544088959694,
-0.015368075110018253,
-0.017469268292188644,
0.04586352780461311,
-0.021043237298727036,
0.05504142493009567,
0.01853339374065399,
-0.06325963139533997,
-0.007528101559728384,
0.022327711805701256,
-0.032894473522901535,
0.060132239013910294,
-0.000415648304624483,
-0.029331587255001068,
0.04047171771526337,
0.011644133366644382,
0.025302115827798843,
0.050530292093753815,
-0.0036516741383820772,
0.03438631072640419,
-0.006954123731702566,
-0.024008778855204582,
0.00824770051985979,
0.03718838468194008,
-0.02911226823925972,
-0.0312558189034462,
0.004438582807779312,
-0.009456837549805641,
0.01708301715552807,
0.016024814918637276,
0.002633193973451853,
0.052460115402936935,
-0.013302859850227833,
-0.0076489532366395,
-0.02202184870839119,
0.05661722272634506,
-0.058837033808231354,
0.03228619694709778,
-0.005144178401678801,
-0.00975918211042881,
0.032103341072797775,
-0.00693293334916234,
0.07342483103275299,
0.07631687074899673,
-0.015918780118227005,
-0.009893404319882393,
0.029491467401385307,
-0.0014630515361204743,
-0.028866026550531387,
0.014748078770935535,
-0.04469472914934158,
0.06967657804489136,
0.01185905933380127,
-0.01958642341196537,
-0.02851671725511551,
0.10560766607522964,
-0.005042613949626684,
0.012483300641179085,
0.06942883133888245,
0.003083072602748871,
0.07571776211261749,
-0.0024171725381165743,
-0.018151169642806053,
-0.002605063607916236,
0.020447630435228348,
-0.02023734524846077,
-0.018265964463353157,
-0.07265197485685349,
-0.019126107916235924,
0.02571796625852585,
-0.019313780590891838,
-0.02391122840344906,
-0.03527149558067322,
-0.0017167095793411136,
-0.004592065699398518,
0.06525952368974686,
0.03668421879410744,
0.03414629399776459,
0.039385177195072174,
0.001154945115558803,
-0.009956724010407925,
-0.016020581126213074,
-0.1137247234582901,
-0.05272011458873749,
0.027787452563643456,
0.012041987851262093,
0.05196492373943329,
0.020083429291844368,
-0.03986823558807373,
0.03172636404633522,
0.008400477468967438,
-0.020352991297841072,
-0.023946521803736687,
0.03193080425262451,
0.025616908445954323,
-0.04841655120253563,
-0.010355712845921516,
0.03705912455916405,
0.04657801613211632,
-0.012611937709152699,
-0.03800525143742561,
-0.0005844668485224247,
-0.061398137360811234,
-0.015375467948615551,
-0.044592760503292084,
-0.012593528255820274,
0.03977423161268234,
0.04017818346619606,
-0.008842959068715572,
-0.049273114651441574,
0.03933104872703552,
0.08333577960729599,
0.001175068086013198,
0.02942231483757496,
0.036497462540864944,
-0.0020743142813444138,
0.021946685388684273,
0.0025539733469486237,
-0.028119472786784172,
-0.002590418327599764,
-0.010642290115356445,
-0.0030672133434563875,
-0.034584205597639084,
0.003053180407732725,
0.013990785926580429,
-0.25793662667274475,
-0.026405302807688713,
-0.004548108670860529,
0.007253659889101982,
0.014726996421813965,
-0.014209520071744919,
0.05255834385752678,
-0.03389536216855049,
-0.04172772169113159,
-0.009229958988726139,
0.009700522758066654,
-0.034393925219774246,
0.006389914080500603,
0.07361336797475815,
0.06173679232597351,
0.024855585768818855,
0.0342913419008255,
0.0017960065742954612,
-0.007593660615384579,
-0.0046007269993424416,
-0.027072083204984665,
-0.08439459651708603,
-0.010693306103348732,
0.010124937631189823,
-0.007320038974285126,
0.03671634569764137,
-0.04049113392829895,
0.003109327517449856,
-0.05672973021864891,
0.009535962715744972,
-0.021571926772594452,
-0.018064435571432114,
-0.02480943128466606,
0.00747305154800415,
0.04989565536379814,
0.0011866162531077862,
0.030921338126063347,
-0.0026039928197860718,
-0.010256071574985981,
0.014613672159612179,
-0.011113869026303291,
-0.011512912809848785,
-0.021628448739647865,
0.012669045478105545,
0.03366238623857498,
0.011117164045572281,
0.0020699193701148033,
-0.008238345384597778,
0.0013679652474820614,
0.05047023668885231,
0.008735018782317638,
-0.03030095435678959,
-0.01424436829984188,
-0.010100888088345528,
0.028124984353780746,
-0.0405745804309845,
0.010713155381381512,
-0.050386834889650345,
0.011681308969855309,
0.05329675227403641,
0.049950625747442245,
-0.0572507306933403,
-0.0006528193480335176,
-0.01575448550283909,
-0.0051145004108548164,
-0.046075113117694855,
-0.04877953976392746,
-0.06521259248256683,
0.06402002274990082,
0.018308522179722786,
0.003456281730905175,
-0.014072787947952747,
-0.008686812594532967,
-0.09663508832454681,
0.004151888191699982,
-0.01636595092713833,
0.01705356501042843,
-0.00863665621727705,
0.010769402608275414,
0.026384999975562096,
-0.027948463335633278,
-0.04477913677692413,
0.00287656020373106,
0.02539236843585968,
0.018801506608724594,
-0.012777796946465969,
0.031822528690099716,
-0.03541816398501396,
-0.032620541751384735,
-0.031458981335163116,
0.00014479660603683442,
0.03004579246044159,
0.012136831879615784,
-0.004581818822771311,
0.03866267204284668,
0.04678668826818466,
0.006638218183070421,
-0.0005626148777082562,
0.021388158202171326,
-0.03331294283270836,
-0.00727100670337677,
-0.08438887447118759,
-0.03040201961994171,
-0.05515691637992859,
-0.039111025631427765,
0.01799122802913189,
-0.03502770885825157,
-0.017367888242006302,
0.04424535855650902,
-0.004219705238938332,
-0.01684870570898056,
-0.0232866033911705,
-0.01459523569792509,
0.0006924544577486813,
-0.013742213137447834,
-0.01009412296116352,
-0.03404959663748741,
0.04213540628552437,
0.029327746480703354,
0.0037797584664076567,
-0.030380267649888992,
0.027473079040646553,
-0.03541059419512749,
-0.029341015964746475,
-0.03322719410061836,
0.03652704507112503,
0.021073265001177788,
-0.024947622790932655,
0.002079631434753537,
-0.03456306457519531,
0.05749917030334473,
0.04613736271858215,
0.027635717764496803,
0.01905106194317341,
0.0527242049574852,
0.005607599392533302,
-0.01412137970328331,
-0.010748384520411491,
0.050481658428907394,
-0.03728143498301506,
0.03297043219208717,
0.025638548657298088,
0.02255396917462349,
0.017944524064660072,
0.021401695907115936,
0.025395961478352547,
-0.020721016451716423,
0.0036716258618980646,
0.0024144763592630625,
0.01238814927637577,
-0.0003772427444346249,
-0.06189434230327606,
0.06075585260987282,
-0.022925961762666702,
-0.007324706297367811,
-0.005819099489599466,
0.02475304901599884,
-0.030680470168590546,
0.006430930458009243,
-0.0838368833065033,
0.020138835534453392,
0.00029154735966585577,
-0.03023281693458557,
-0.025304192677140236,
0.06667058914899826,
0.07159062474966049,
-0.04465826228260994,
-0.005888724699616432,
-0.0050971671007573605,
0.04977847635746002,
0.04182903468608856,
-0.045164793729782104,
-0.055708542466163635,
-0.04909520596265793,
-0.03474679961800575,
-0.015033445321023464,
0.006834810599684715,
-0.06792841851711273,
-0.08182013034820557,
-0.015064867213368416,
0.008952178061008453,
-0.040547262877225876,
-0.0141143174842,
0.014499069191515446,
0.05301228165626526,
-0.017758967354893684,
0.015694059431552887,
-0.01806320995092392,
-0.024014636874198914,
0.011762983165681362,
-0.007199354004114866,
0.020816462114453316,
-0.03654468432068825,
-0.038494158536195755,
-0.002061916282400489,
-0.018633579835295677,
-0.016522077843546867,
-0.00034548432449810207,
-0.0007467847899533808,
0.019260283559560776,
-0.008433239534497261,
-0.01207311637699604,
-0.015098766423761845,
-0.006155049428343773,
0.029466722160577774,
-0.027240769937634468,
-0.005842695478349924,
0.03448373079299927,
-0.030026745051145554,
0.04178772121667862,
-0.08285506069660187,
-0.045251138508319855,
-0.021088827401399612,
0.013017268851399422,
0.028099404647946358,
-0.02284274436533451,
-0.02417965605854988,
0.008211066946387291,
-0.012641027569770813,
-0.009005436673760414,
0.03293532133102417,
-0.026154763996601105,
0.009081384167075157,
-0.018206391483545303,
-0.003728285199031234,
0.07225818932056427,
-0.026748275384306908,
-0.022667955607175827,
0.027597755193710327,
-0.01792912185192108,
0.014284281060099602,
-0.06470675021409988,
-0.0011352518340572715,
0.036252107471227646,
0.007371160667389631,
0.0019295054953545332,
-0.046171922236680984,
0.05266561359167099,
-0.054400842636823654,
-0.019410474225878716,
-0.00006558196764672175,
0.013509869575500488,
0.009692152962088585,
-0.02728518657386303,
-0.0013849904062226415,
0.02294907718896866,
0.01997881382703781,
-0.01878075674176216,
0.044166143983602524,
0.048588111996650696,
0.018704907968640327,
-0.006539452355355024,
-0.05338876321911812,
0.022684242576360703,
0.062335625290870667,
0.015067726373672485,
-0.02541482262313366,
-0.04643407464027405,
-0.011244014836847782,
0.04828115552663803,
-0.01767619512975216,
0.017226282507181168,
-0.04011167585849762,
0.007058748975396156,
0.0336880199611187,
0.05584306642413139,
-0.013991122134029865,
-0.02403487265110016,
0.03338369354605675,
-0.07092594355344772,
-0.007729901000857353,
-0.0848378911614418,
0.009113159961998463,
0.046967554837465286,
-0.024059301242232323,
0.02025493048131466,
0.054112646728754044,
-0.05333599075675011,
0.026147522032260895,
-0.03805031254887581,
-0.07478926330804825,
0.015516236424446106,
-0.04323006793856621,
-0.0319407656788826,
0.04395373538136482,
-0.03750753030180931,
-0.04347154498100281,
-0.005028320010751486,
-0.07706300169229507,
0.022321272641420364,
0.020413748919963837,
0.05567923188209534,
-0.006558258086442947,
-0.012995746918022633,
-0.05427008494734764,
0.05456813797354698,
0.03910982608795166,
0.037558961659669876,
0.02629121206700802,
0.03624654933810234,
-0.042051494121551514,
0.05254989117383957,
0.03467562422156334,
0.05621286481618881,
0.023445675149559975,
0.011425138451159,
-0.00709225470200181,
-0.0386960431933403,
0.045688971877098083,
0.005070643499493599,
-0.008203702978789806,
-0.05607433244585991,
0.054676603525877,
0.020555982366204262,
-0.0669681578874588,
-0.032479628920555115,
0.01640457846224308,
-0.05980325862765312,
0.0032923200633376837,
0.010078832507133484,
0.03291657939553261,
0.03733900561928749,
0.07066463679075241,
-0.007330525200814009,
0.02352943830192089,
0.065705306828022,
0.0119926817715168,
0.006791289895772934,
0.03225152939558029,
0.06972560286521912,
0.06914032995700836,
0.03118867240846157,
-0.03042599931359291,
0.06575699150562286,
-0.046043332666158676,
-0.04916324093937874,
-0.010558044537901878,
-0.026336723938584328,
-0.02314634993672371,
-0.020300764590501785,
0.002100585028529167,
0.01377223338931799,
0.01142843160778284,
0.06445080786943436,
-0.04801587015390396,
-0.017000602558255196,
0.05458187311887741,
0.0017354980809614062,
0.02803926169872284,
0.02602066472172737,
0.03648767247796059,
0.008464268408715725,
-0.01740291714668274,
-0.019224530085921288,
0.02012908086180687,
0.030840160325169563,
0.006246458273380995,
-0.01266569085419178,
0.0009283898980356753,
0.003854520618915558,
0.06171524524688721,
0.008080638945102692,
0.09076394140720367,
-0.05729677155613899,
-0.0094148525968194,
-0.024383969604969025,
0.028602534905076027,
0.001935602049343288,
0.0476970449090004,
0.04324131831526756,
-0.01786334253847599,
-0.009961985051631927,
-0.050598014146089554,
0.015854349359869957,
0.029150186106562614,
0.027745183557271957,
0.010008149780333042,
-0.002323935739696026,
-0.008218292146921158,
0.03372550383210182,
0.014463088475167751,
-0.06173354387283325,
-0.03953554481267929,
-0.016904892399907112,
-0.027051202952861786,
-0.05330010503530502,
-0.0624915175139904,
0.0199769027531147,
0.011886321939527988,
-0.038370225578546524,
0.02114730514585972,
-0.03445650264620781,
0.002482377691194415,
0.00022084491502027959,
-0.02595333568751812,
0.002776073757559061,
0.008294031955301762,
0.0071211098693311214,
0.03961843624711037,
0.005181844811886549,
0.0395185612142086,
-0.009802373126149178,
-0.045217640697956085,
0.02865283377468586,
0.029672568663954735,
0.020113488659262657,
-0.03910040855407715,
0.01201305165886879,
-0.07508717477321625,
-0.00434269942343235,
0.04119729995727539,
-0.03291025012731552,
-0.07272151857614517,
0.04443192854523659,
-0.04304863139986992,
0.007744296919554472,
0.09703745692968369,
0.008250948041677475,
0.01181693747639656,
-0.05055942386388779,
-0.001143170753493905,
-0.00980356428772211,
-0.005814346019178629,
0.02289426326751709,
-0.024381520226597786,
0.030431484803557396,
0.06174609437584877,
-0.04780161380767822,
-0.03761001303792,
0.06617099791765213,
-0.0008165901526808739,
-0.013836744241416454,
-0.02886764146387577,
-0.019932681694626808,
-0.03438489884138107,
-0.07457733154296875,
-0.0008718485478311777,
0.06579688936471939,
-0.019467616453766823,
-0.02937125228345394,
0.0070963711477816105,
0.0059939962811768055,
-0.01327498909085989,
-0.005231143441051245,
-0.05379938334226608,
-0.029457157477736473,
-0.04460729658603668,
-0.009207746013998985,
-0.09958299249410629,
0.03649207577109337,
-0.023001166060566902,
0.011459083296358585,
-0.018982045352458954,
-0.04649967700242996,
-0.006501366849988699,
0.018935758620500565,
-0.006457800045609474,
0.01660180278122425,
-0.020701274275779724,
0.0014665268827229738
] |
https://github.com/mmoharami/Risk-Sensitive-CMDP
|
585 |
Self-Play Q-Learners Can Provably Collude in the Iterated Prisoner's Dilemma
|
https://openreview.net/forum?id=q6zwUeWkZL
|
[
"Quentin Bertrand",
"Juan Agustin Duque",
"Emilio Calvano",
"Gauthier Gidel"
] |
Poster
|
A growing body of computational studies shows that simple machine learning agents converge to cooperative behaviors in social dilemmas, such as collusive price-setting in oligopoly markets, raising questions about what drives this outcome. In this work, we provide theoretical foundations for this phenomenon in the context of self-play multi-agent Q-learners in the iterated prisoner’s dilemma. We characterize broad conditions under which such agents provably learn the cooperative Pavlov (win-stay, lose-shift) policy rather than the Pareto-dominated “always defect” policy. We validate our theoretical results through additional experiments, demonstrating their robustness across a broader class of deep learning algorithms.
|
iterated prisoner's dilemma, cooperation, Q-learning, self-play
|
We show that self-play Q-learners can learn to collude, even if their inital states and policies are always defect
| 12,897 | null |
[
-0.061263151466846466,
-0.0452076755464077,
-0.010105910710990429,
0.03889596462249756,
0.037310123443603516,
0.01275544986128807,
0.02458295039832592,
0.015021458268165588,
-0.006634941324591637,
-0.016751283779740334,
-0.018218480050563812,
0.01533728837966919,
-0.05991543456912041,
0.008106020279228687,
-0.011448203586041927,
0.06687270849943161,
0.02654777467250824,
0.009979437105357647,
-0.020237339660525322,
-0.027434546500444412,
-0.007644942030310631,
0.00046920336899347603,
0.028757749125361443,
0.02822180651128292,
0.03226663917303085,
-0.0006441858131438494,
0.0359693206846714,
0.004202465061098337,
-0.0016289568739011884,
0.00021486281184479594,
0.03472002223134041,
-0.02185751125216484,
0.02878616936504841,
-0.018100541085004807,
-0.023690754547715187,
0.007339936681091785,
-0.031333472579717636,
0.020558970049023628,
-0.017769739031791687,
0.0017544686561450362,
-0.045025937259197235,
0.03512134030461311,
-0.016321290284395218,
0.022955873981118202,
-0.022307252511382103,
0.017728056758642197,
-0.08820241689682007,
0.023616746068000793,
0.02259746380150318,
-0.04626107215881348,
-0.09058432281017303,
0.017022788524627686,
0.05522700026631355,
-0.0256242323666811,
-0.023171640932559967,
0.013212996535003185,
0.04578962177038193,
-0.06250179558992386,
-0.011230929754674435,
-0.06656905263662338,
-0.03077143058180809,
0.026759011670947075,
0.02858603559434414,
-0.017377493903040886,
-0.031536996364593506,
0.0008523276774212718,
0.0277584046125412,
0.04516592249274254,
-0.0506569966673851,
-0.027703803032636642,
-0.0571056492626667,
0.012390296906232834,
-0.029501283541321754,
-0.011600764468312263,
-0.002136089839041233,
-0.0683721974492073,
0.0003449784417171031,
0.026163559406995773,
0.04806827753782272,
-0.002968753222376108,
0.005531344562768936,
0.03823216259479523,
-0.0014635883271694183,
0.04203682765364647,
0.015068273060023785,
-0.005294187925755978,
-0.013879594393074512,
-0.018106801435351372,
-0.06372767686843872,
0.03800085186958313,
-0.005719927605241537,
-0.030294619500637054,
0.006980005651712418,
0.04362344369292259,
0.027942653745412827,
0.026834208518266678,
0.03267515078186989,
0.0050322432070970535,
0.032326485961675644,
-0.0011111315106973052,
-0.04668498411774635,
-0.011369534768164158,
0.021022696048021317,
0.0003312640474177897,
-0.10337570309638977,
-0.0035106446593999863,
0.004139252007007599,
-0.036737192422151566,
-0.0041853212751448154,
0.010359440930187702,
-0.05179315432906151,
-0.018325716257095337,
0.02981746196746826,
-0.003839886048808694,
-0.08467645943164825,
0.041135407984256744,
0.03213037550449371,
0.045263662934303284,
-0.009360546246170998,
0.017062362283468246,
0.02948618121445179,
0.033251166343688965,
-0.01947842910885811,
0.08427037298679352,
0.0048255412839353085,
-0.017387060448527336,
0.026322098448872566,
0.028568746522068977,
-0.006849280092865229,
-0.04671212658286095,
0.040925249457359314,
0.046164896339178085,
-0.037999529391527176,
-0.003960800357162952,
-0.0058598630130290985,
-0.012528262101113796,
0.01298702321946621,
0.014332718215882778,
-0.012226587161421776,
0.004208588507026434,
-0.03787456825375557,
-0.0033067225012928247,
0.09139377623796463,
0.015504867769777775,
0.07889348268508911,
-0.033885885030031204,
-0.008648732677102089,
-0.024731136858463287,
-0.04275447875261307,
-0.0073476023972034454,
-0.00701476726680994,
-0.01748068444430828,
0.011224798858165741,
-0.034510012716054916,
0.01258879154920578,
0.04268600046634674,
0.05004917085170746,
0.0145447151735425,
-0.005582207348197699,
0.04812382906675339,
0.02393179200589657,
0.0034324978478252888,
0.003106439718976617,
-0.011027108877897263,
0.01269498374313116,
-0.07353416830301285,
0.05314474552869797,
0.024392608553171158,
-0.021199220791459084,
0.020587576553225517,
-0.037947192788124084,
-0.01201065443456173,
0.038500379770994186,
-0.012004215270280838,
-0.015487280674278736,
0.0007889826083555818,
0.03923938050866127,
-0.01188512984663248,
0.028429942205548286,
0.02316339500248432,
-0.09023784846067429,
0.034688934683799744,
-0.01657963916659355,
0.005245035048574209,
0.00792123656719923,
-0.02356882020831108,
0.0400884747505188,
-0.021091710776090622,
0.012542877346277237,
0.007735582999885082,
-0.060774434357881546,
-0.008431199006736279,
-0.0046994988806545734,
-0.002087441273033619,
0.08152598142623901,
-0.01988087221980095,
-0.035958100110292435,
0.003635304979979992,
0.033266499638557434,
0.04187159985303879,
0.005125479772686958,
-0.03647361695766449,
0.04031030088663101,
0.015550700016319752,
-0.026586443185806274,
0.0036702321376651525,
0.03619905188679695,
-0.05840005353093147,
-0.005710836499929428,
0.023569665849208832,
-0.043677814304828644,
-0.006480251904577017,
0.0068622673861682415,
-0.02437448315322399,
0.04275590181350708,
0.009142027236521244,
-0.012076976709067822,
0.014247952029109001,
0.03491611033678055,
-0.03631920740008354,
0.04327458515763283,
-0.014945135451853275,
-0.031503550708293915,
0.014909006655216217,
-0.014218217693269253,
0.09609150141477585,
0.07284318655729294,
-0.04053116962313652,
0.02147621102631092,
0.03352019190788269,
-0.0008893769700080156,
0.031576771289110184,
0.019556906074285507,
-0.027214813977479935,
0.03952553868293762,
-0.016504181548953056,
-0.019312364980578423,
-0.02933422662317753,
0.05187675356864929,
-0.044790174812078476,
-0.02821412682533264,
0.0681409165263176,
-0.03427751734852791,
0.05901545286178589,
-0.03010978363454342,
0.00772258872166276,
0.032514601945877075,
0.021486332640051842,
-0.02487415447831154,
-0.0292206984013319,
-0.0393700934946537,
-0.010262936353683472,
0.0018855358939617872,
-0.01183673832565546,
0.018290255218744278,
-0.07985837012529373,
-0.011180953122675419,
-0.01927345246076584,
0.08402525633573532,
0.03778938204050064,
0.030143484473228455,
0.03430749475955963,
-0.036360885947942734,
-0.04817332327365875,
-0.010516529902815819,
-0.12482656538486481,
-0.05968233570456505,
0.028240781277418137,
0.028229163959622383,
0.011180376634001732,
0.033736735582351685,
-0.031187184154987335,
0.035715796053409576,
-0.0459805428981781,
-0.039703018963336945,
0.04142329469323158,
0.02946467138826847,
0.019305821508169174,
-0.016461782157421112,
-0.0134853795170784,
0.015631146728992462,
0.06186414510011673,
-0.022899329662322998,
-0.03493154048919678,
0.013540012761950493,
-0.06850851327180862,
-0.013879960402846336,
-0.035206012427806854,
-0.036842674016952515,
0.005182665307074785,
0.012246890924870968,
0.043225232511758804,
-0.036812666803598404,
0.015740105882287025,
0.02011399157345295,
0.05022020637989044,
0.010164654813706875,
0.02803139202296734,
0.011786366812884808,
0.04062318429350853,
-0.022932736203074455,
0.0028682074043899775,
-0.02817133627831936,
0.0275571271777153,
0.015480134636163712,
-0.011563289910554886,
0.04648517817258835,
0.01425300445407629,
-0.2510465979576111,
-0.048744071274995804,
0.03773650899529457,
0.03385758027434349,
0.016532763838768005,
-0.027140436694025993,
0.0689634457230568,
-0.024287885054945946,
-0.031890563666820526,
0.018547214567661285,
-0.012856610119342804,
0.004992248956114054,
0.007395213004201651,
0.03801161050796509,
0.04475637152791023,
0.02571198157966137,
-0.005076297093182802,
-0.025720685720443726,
-0.010762834921479225,
0.029711907729506493,
-0.02660665102303028,
-0.06025783717632294,
-0.05181747302412987,
0.030172456055879593,
0.018806613981723785,
0.05052006244659424,
-0.04497775807976723,
-0.02173585258424282,
-0.018928812816739082,
0.01554867159575224,
-0.039258986711502075,
-0.008026144467294216,
-0.010043163783848286,
0.013999749906361103,
0.03225618600845337,
0.015081902965903282,
0.02209458500146866,
-0.021809149533510208,
0.00795738585293293,
0.042240824550390244,
-0.014583475887775421,
0.009885609149932861,
-0.01013134140521288,
0.02804914303123951,
0.06934811174869537,
0.02811010181903839,
-0.0291375070810318,
-0.007163405884057283,
-0.026193801313638687,
0.02405351959168911,
0.030739357694983482,
-0.018328441306948662,
0.011766801588237286,
-0.0024700656067579985,
0.008423537947237492,
0.0034319674596190453,
-0.023690223693847656,
-0.05607939139008522,
0.008612586185336113,
0.03090314380824566,
0.0038638964761048555,
-0.05788865312933922,
-0.03827887028455734,
-0.003156079910695553,
0.023711172863841057,
-0.05036862567067146,
-0.061853889375925064,
-0.04657812416553497,
0.06044892966747284,
0.04167718067765236,
0.009229947812855244,
-0.017788201570510864,
-0.022413767874240875,
-0.10378603637218475,
0.034612562507390976,
0.01075094472616911,
0.004443034995347261,
-0.027080615982413292,
0.036956507712602615,
0.0683089941740036,
-0.01998009905219078,
-0.050192657858133316,
0.009187665767967701,
-0.026443779468536377,
0.027874957770109177,
-0.02581712231040001,
0.03908763825893402,
-0.02792024426162243,
-0.04952327907085419,
-0.025441018864512444,
0.027019277215003967,
0.00612167501822114,
0.03255246952176094,
-0.022058336064219475,
0.052224405109882355,
0.058264899998903275,
0.025004087015986443,
0.03179013356566429,
0.02382838912308216,
0.03368957340717316,
0.010951267555356026,
-0.07428285479545593,
0.02305373176932335,
-0.013294290751218796,
-0.025673897936940193,
0.03526533022522926,
-0.052577704191207886,
-0.005492827855050564,
0.06465044617652893,
0.007348140235990286,
0.0058515314012765884,
-0.03950538486242294,
0.012012087740004063,
-0.014660635031759739,
-0.008814824745059013,
-0.059431999921798706,
0.0022165265399962664,
0.04075128957629204,
0.02889920026063919,
-0.03206288442015648,
-0.054696548730134964,
0.045181311666965485,
-0.01693560555577278,
0.007878872565925121,
-0.023477502167224884,
-0.011106856167316437,
0.0009208791307173669,
-0.031478676944971085,
0.027799881994724274,
-0.007603902369737625,
0.02132590487599373,
0.015457128174602985,
-0.009321963414549828,
0.015036704950034618,
0.06599438935518265,
-0.015618136152625084,
-0.0442318320274353,
-0.012392106465995312,
-0.007625082973390818,
-0.017435014247894287,
0.04586020112037659,
-0.00433937506750226,
0.048659197986125946,
0.019827093929052353,
-0.030761869624257088,
-0.01007597241550684,
-0.019195226952433586,
0.028693655505776405,
0.011504735797643661,
0.003274740884080529,
0.02148745022714138,
-0.01324489712715149,
0.03589075058698654,
-0.009618852287530899,
0.02983303926885128,
-0.03876802325248718,
0.02291109226644039,
-0.023333638906478882,
0.004583495203405619,
-0.05297919735312462,
0.0017296567093580961,
-0.014800422824919224,
-0.03294026479125023,
-0.017867933958768845,
0.04020919278264046,
0.07480268180370331,
-0.027281727641820908,
-0.012744967825710773,
-0.007542650680989027,
-0.0016332654049620032,
0.012774530798196793,
-0.010927130468189716,
-0.00973438285291195,
-0.04161931574344635,
-0.050251834094524384,
-0.024377958849072456,
0.01841159351170063,
-0.06364912539720535,
-0.06737121194601059,
0.011944604106247425,
-0.005762676242738962,
-0.027943303808569908,
0.0018292973982170224,
0.0021244401577860117,
0.06907572597265244,
-0.024293428286910057,
0.013815434649586678,
-0.0027444346342235804,
-0.02748171240091324,
0.02385278232395649,
0.0012962213950231671,
0.008240892551839352,
-0.027306310832500458,
-0.019245609641075134,
-0.041677240282297134,
-0.02584981732070446,
0.004508809186518192,
0.014776544645428658,
-0.022071776911616325,
-0.001292397384531796,
0.019034143537282944,
0.0012492542155086994,
-0.023652026429772377,
0.0022611934691667557,
0.030686207115650177,
-0.08106895536184311,
0.007588876876980066,
0.021841978654265404,
-0.007096849847584963,
0.052116233855485916,
-0.05546113848686218,
-0.039494700729846954,
-0.05030566453933716,
-0.01495351828634739,
-0.013498794287443161,
-0.0347636379301548,
-0.026796918362379074,
-0.024178730323910713,
-0.0283027533441782,
0.05084380507469177,
0.020204709842801094,
-0.0205422081053257,
0.011207811534404755,
-0.04818828031420708,
-0.02364247292280197,
0.06617558747529984,
-0.04647369310259819,
-0.012279215268790722,
0.022962933406233788,
-0.0075975991785526276,
0.020314760506153107,
-0.04767512530088425,
0.00040453573456034064,
0.026455895975232124,
-0.027831442654132843,
0.008176896721124649,
-0.03420097008347511,
0.044583290815353394,
-0.03232322633266449,
-0.029302721843123436,
-0.014876894652843475,
0.010766451247036457,
-0.04061473160982132,
-0.025815848261117935,
0.004773654974997044,
0.008885838091373444,
0.03165559470653534,
0.021545514464378357,
0.024017347022891045,
0.006862148176878691,
0.03326794132590294,
0.018211809918284416,
-0.06334072351455688,
0.019979242235422134,
0.04616226628422737,
-0.015366306528449059,
-0.025790514424443245,
-0.015117094852030277,
-0.022040678188204765,
0.02082725428044796,
-0.04530278965830803,
0.018999921157956123,
-0.07303482294082642,
0.0333789698779583,
0.029235010966658592,
0.0023118278477340937,
0.025898169726133347,
-0.02280285395681858,
0.035127777606248856,
-0.04865716025233269,
0.006672572810202837,
-0.08358672261238098,
0.018960002809762955,
0.050067536532878876,
-0.0034088888205587864,
0.037409357726573944,
0.020445197820663452,
-0.03338531404733658,
0.06102517992258072,
-0.03988965228199959,
-0.04174438491463661,
0.01421091053634882,
-0.03785431385040283,
-0.004309547133743763,
0.05027645081281662,
-0.07619420439004898,
-0.05801774933934212,
-0.01876906491816044,
-0.0507715605199337,
-0.020144756883382797,
0.002783828880637884,
0.02792208641767502,
0.024475431069731712,
-0.009684904478490353,
-0.008542940020561218,
0.025142470374703407,
0.016108600422739983,
0.012346734292805195,
0.020501960068941116,
0.025659585371613503,
-0.04465341195464134,
0.06899020075798035,
0.05569621920585632,
0.03206766024231911,
0.029587000608444214,
0.03424053639173508,
-0.04290800169110298,
-0.041134390980005264,
0.041319798678159714,
-0.02858126349747181,
-0.0170384980738163,
-0.051396988332271576,
0.021571597084403038,
0.009217731654644012,
-0.04640059545636177,
0.015468409284949303,
0.021140683442354202,
-0.08680912852287292,
-0.026421740651130676,
0.022289151325821877,
0.007298402488231659,
0.039093125611543655,
0.08321910351514816,
0.034628674387931824,
0.06378336250782013,
0.03398839756846428,
0.059184398502111435,
-0.024853290989995003,
0.012913535349071026,
0.07422490417957306,
0.06766826659440994,
0.030420219525694847,
-0.018840210512280464,
0.04700183868408203,
-0.037860769778490067,
-0.05995799973607063,
0.019373543560504913,
0.014216979965567589,
-0.026661498472094536,
-0.01452498510479927,
-0.008252205327153206,
0.037897203117609024,
0.002823669696226716,
0.04444042220711708,
-0.0521087683737278,
-0.03608454391360283,
0.07555653899908066,
-0.0026063595432788134,
-0.028748393058776855,
0.04782504588365555,
0.048198211938142776,
0.020420171320438385,
-0.02139674499630928,
-0.058400534093379974,
0.004101292230188847,
-0.006187392398715019,
0.010193154215812683,
0.032075367867946625,
-0.01638021320104599,
-0.010910789482295513,
0.036185864359140396,
0.025771358981728554,
0.11338106542825699,
-0.05528904125094414,
0.01005280390381813,
0.01852962002158165,
0.015002465806901455,
0.013467937707901001,
0.04094848409295082,
0.02552243322134018,
-0.0225676316767931,
0.026538392528891563,
-0.022651124745607376,
0.023288080468773842,
0.023827163502573967,
0.029070813208818436,
0.020908314734697342,
-0.040472131222486496,
0.0165848545730114,
0.0368536002933979,
-0.001791356597095728,
-0.02328914776444435,
-0.055160559713840485,
-0.007379257120192051,
-0.04064057022333145,
-0.061926718801259995,
-0.049238983541727066,
0.019630739465355873,
0.007927053608000278,
-0.07067794352769852,
0.0015609875554218888,
-0.02166067436337471,
0.015955112874507904,
-0.0025457388255745173,
-0.06370709091424942,
-0.022816497832536697,
0.043156325817108154,
-0.005777382291853428,
0.03248889371752739,
0.013715765438973904,
0.040295809507369995,
0.009424382820725441,
-0.010613841004669666,
0.0020307651720941067,
0.021117614582180977,
0.013021071441471577,
-0.04018392786383629,
-0.010548681020736694,
-0.09128876775503159,
-0.009320355951786041,
0.04075678065419197,
-0.0666886568069458,
-0.07852263003587723,
0.05197548866271973,
-0.07011174410581589,
0.022932440042495728,
0.08374249935150146,
0.016149397939443588,
0.03320731967687607,
-0.05084090679883957,
0.014968139119446278,
0.01932387612760067,
-0.00702436501160264,
0.05330822616815567,
-0.02163088507950306,
0.04372408986091614,
0.03854825720191002,
-0.03889325633645058,
-0.051145754754543304,
0.05246109887957573,
0.016635427251458168,
-0.02021251618862152,
-0.003931187558919191,
-0.031293075531721115,
-0.003464003326371312,
-0.10752086341381073,
-0.014784961007535458,
0.04069513455033302,
0.0013712504878640175,
-0.054943788796663284,
-0.026247765868902206,
-0.018959693610668182,
0.013645470142364502,
-0.0017183715244755149,
-0.04077841714024544,
0.005169665440917015,
-0.005503745283931494,
-0.018921006470918655,
-0.05427127331495285,
0.013196260668337345,
0.0009142665076069534,
0.009694315493106842,
-0.009059485979378223,
-0.048711445182561874,
-0.018840530887246132,
-0.008743830025196075,
-0.002159456256777048,
0.03345828503370285,
0.008190932683646679,
-0.003962189424782991
] | null |
586 |
Hierarchical Planning for Complex Tasks with Knowledge Graph-RAG and Symbolic Verification
|
https://openreview.net/forum?id=vfqdJy12Kk
|
[
"Flavio Petruzzellis",
"Cristina Cornelio",
"Pietro Lio"
] |
Poster
|
Large Language Models (LLMs) have shown promise as robotic planners but often struggle with long-horizon and complex tasks, especially in specialized environments requiring external knowledge. While hierarchical planning and Retrieval-Augmented Generation (RAG) address some of these challenges, they remain insufficient on their own and a deeper integration is required for achieving more reliable systems. To this end, we propose a neuro-symbolic approach that enhances LLMs-based planners with Knowledge Graph-based RAG for hierarchical plan generation. This method decomposes complex tasks into manageable subtasks, further expanded into executable atomic action sequences. To ensure formal correctness and proper decomposition, we integrate a Symbolic Validator, which also functions as a failure detector by aligning expected and observed world states. Our evaluation against baseline methods demonstrates the consistent significant advantages of integrating hierarchical planning, symbolic verification, and RAG across tasks of varying complexity and different LLMs. Additionally, our experimental setup and novel metrics not only validate our approach for complex planning but also serve as a tool for assessing LLMs' reasoning and compositional capabilities. Code available at https://github.com/corneliocristina/HVR.
|
Neuro-Symbolic, Hierarchical Planning, Robotics, Symbolic Verification, Knowledge Graph RAG
|
We propose a neurosymbolic method combining hierarchical planning, KG-RAG, and symbolic validation to enhance LLMs for complex task planning, ensuring correctness, failure detection, and offering a tool to evaluate LLM reasoning/compositional skills.
| 12,895 |
2504.04578
|
[
-0.018619146198034286,
-0.0034485673531889915,
-0.013748019002377987,
0.03080865927040577,
0.04632532224059105,
0.00879813451319933,
0.01619519479572773,
-0.025622684508562088,
-0.028401922434568405,
-0.02340569533407688,
-0.04581988975405693,
0.0356050468981266,
-0.05300664156675339,
-0.003354528220370412,
-0.003888507839292288,
0.05725041776895523,
0.011879797093570232,
0.012727996334433556,
0.010025420226156712,
-0.005554093513637781,
-0.012736919336020947,
-0.007145479787141085,
0.030489321798086166,
0.019127625972032547,
0.0467863529920578,
0.028164083138108253,
0.025105582550168037,
-0.006965519394725561,
-0.03946908935904503,
-0.016633300110697746,
0.022431785240769386,
-0.03466168791055679,
0.025637652724981308,
-0.03767392411828041,
0.019796237349510193,
-0.016242720186710358,
-0.05362534895539284,
0.022655732929706573,
-0.0010827310616150498,
-0.04002803564071655,
-0.025711242109537125,
0.046592582017183304,
-0.008901855908334255,
-0.024258151650428772,
-0.02794669382274151,
0.024093812331557274,
-0.07549917697906494,
0.02064439095556736,
0.031195083633065224,
-0.0338343009352684,
-0.1107311099767685,
0.03815176337957382,
-0.014225437305867672,
-0.00526170339435339,
-0.006686788517981768,
0.02574458159506321,
0.07019753754138947,
-0.11032792925834656,
0.0066741215996444225,
-0.03352855518460274,
-0.05033895745873451,
0.024996468797326088,
0.016975775361061096,
0.015417538583278656,
-0.01547672227025032,
-0.019214605912566185,
0.014676193706691265,
0.03938639909029007,
-0.049338724464178085,
-0.016737233847379684,
-0.02288840524852276,
0.017498420551419258,
-0.012222756631672382,
0.014629684388637543,
0.016377750784158707,
-0.05547512695193291,
0.02641063556075096,
0.047501176595687866,
0.04989713430404663,
-0.012569299899041653,
-0.02114158496260643,
0.0480937622487545,
0.01314442791044712,
0.03608540818095207,
0.048379700630903244,
0.030935777351260185,
-0.05037401244044304,
-0.05751709267497063,
-0.07024316489696503,
0.0317436158657074,
-0.01261957548558712,
-0.04752669110894203,
-0.005858212243765593,
0.0381874144077301,
0.0006597384344786406,
0.0004848120443057269,
0.0023915593046694994,
0.03595444932579994,
-0.0213287603110075,
-0.004045848269015551,
-0.0014811006840318441,
-0.017401428893208504,
0.01877407170832157,
-0.027286723256111145,
-0.11998856067657471,
-0.01770910993218422,
-0.01841053180396557,
0.0049680196680128574,
0.019485382363200188,
-0.021028663963079453,
-0.04378477856516838,
-0.009140219539403915,
0.03653121367096901,
-0.0005746457609347999,
-0.04390878230333328,
0.05418964475393295,
0.008401482366025448,
0.02605774812400341,
0.005648599937558174,
0.03669128566980362,
0.04220954328775406,
0.008600430563092232,
0.01289927214384079,
0.062129225581884384,
-0.04777318611741066,
0.02063198946416378,
-0.00751130934804678,
0.019261816516518593,
-0.04182621091604233,
-0.053404029458761215,
0.05006270110607147,
0.03677526116371155,
-0.005590079352259636,
-0.007059485651552677,
-0.02649468183517456,
0.01996898278594017,
0.013136778958141804,
0.007427925709635019,
0.010082454420626163,
0.016733568161725998,
-0.01732073351740837,
-0.010513483546674252,
0.07138639688491821,
-0.03147439658641815,
0.07157621532678604,
0.009986737743020058,
-0.03015686199069023,
-0.02480739913880825,
-0.050336845219135284,
-0.002846830291673541,
0.013354063965380192,
-0.01287080068141222,
-0.02308502607047558,
-0.06443647295236588,
0.02996372990310192,
0.061219148337841034,
0.06045801192522049,
0.0019616165664047003,
0.016577336937189102,
0.006492110900580883,
0.00010358962026657537,
0.01161193661391735,
-0.05274111405014992,
0.00955408439040184,
-0.02924860641360283,
-0.05192214623093605,
0.009698373265564442,
0.010872271843254566,
-0.0035224654711782932,
-0.021709254011511803,
-0.015040477737784386,
-0.028823882341384888,
0.053348440676927567,
-0.0336059145629406,
-0.03593023866415024,
-0.021105259656906128,
0.05847033113241196,
-0.008140348829329014,
0.0480879545211792,
0.024346262216567993,
-0.04864107817411423,
0.021005555987358093,
0.018923144787549973,
0.006055724341422319,
-0.027963418513536453,
-0.038425713777542114,
0.0777738094329834,
-0.03594576567411423,
-0.013038179837167263,
0.02694365195930004,
-0.0698743537068367,
-0.02864610217511654,
0.07008449733257294,
0.005910424515604973,
0.06935425847768784,
0.03654022142291069,
-0.009411877952516079,
0.06274104118347168,
-0.03174886479973793,
0.07968021929264069,
0.04749355837702751,
0.00680171512067318,
0.03754075989127159,
-0.014309242367744446,
-0.002565777860581875,
0.026683056727051735,
0.0019413065165281296,
-0.05468848720192909,
-0.039548687636852264,
0.026454860344529152,
-0.0003578561882022768,
0.008055318146944046,
0.02505764365196228,
0.016091343015432358,
0.008641754277050495,
0.021745726466178894,
0.00414047809317708,
0.011551818810403347,
0.022891877219080925,
-0.04408189281821251,
0.03454715386033058,
0.0014629180077463388,
0.0010237781098112464,
-0.0036108377389609814,
-0.018366673961281776,
0.08973827958106995,
0.05566319823265076,
-0.02757304720580578,
-0.03475528955459595,
0.04430561512708664,
-0.019329309463500977,
0.009586931206285954,
0.00528966449201107,
-0.013553166761994362,
0.008481759577989578,
-0.03510439768433571,
0.017431726679205894,
-0.050189871340990067,
0.024759087711572647,
-0.022145982831716537,
-0.022338474169373512,
0.05616557598114014,
0.001281322562135756,
0.06701096892356873,
0.013579362072050571,
0.03356819599866867,
0.01900576427578926,
0.032286401838064194,
0.005845244042575359,
0.01599479652941227,
-0.03674393519759178,
0.0158102847635746,
0.023724384605884552,
-0.009477408602833748,
-0.04092878848314285,
-0.04852775111794472,
-0.0011657561408355832,
-0.02708563767373562,
0.053567592054605484,
0.03678804263472557,
0.012885392643511295,
-0.0017757457681000233,
-0.012253006920218468,
-0.024284113198518753,
-0.018718307837843895,
-0.09889042377471924,
-0.023390276357531548,
0.004552371799945831,
0.010683436878025532,
0.02947589010000229,
0.023475300520658493,
-0.007835010066628456,
0.07234282791614532,
-0.0035384667571634054,
-0.0012588712852448225,
-0.0015772904735058546,
0.005364495329558849,
0.014175749383866787,
-0.03602716326713562,
-0.005482125096023083,
-0.011727689765393734,
0.04676143825054169,
-0.014334048144519329,
-0.009010604582726955,
-0.02373386360704899,
-0.024760980159044266,
0.033360254019498825,
-0.06133945286273956,
0.0033076268155127764,
0.0037759116385132074,
0.013993117958307266,
-0.003927286248654127,
-0.03376837819814682,
0.01581445522606373,
0.04413702338933945,
0.04186258837580681,
0.04099870100617409,
-0.009832742623984814,
-0.025361767038702965,
0.004549624864012003,
-0.053698617964982986,
0.02530490607023239,
-0.00798023585230112,
0.01922161690890789,
-0.0013395000714808702,
-0.010579590685665607,
0.009580764919519424,
0.004081932827830315,
-0.26664283871650696,
0.007322866003960371,
-0.018217235803604126,
-0.027083639055490494,
0.04501229524612427,
0.024968037381768227,
0.05273536965250969,
-0.029013415798544884,
-0.033705733716487885,
-0.023399801924824715,
0.025570115074515343,
0.022064195945858955,
0.02075948938727379,
0.04907219484448433,
0.07644817233085632,
0.021549450233578682,
-0.002289283787831664,
-0.04988540709018707,
-0.0025495889130979776,
0.017715763300657272,
-0.0112925348803401,
-0.0700165256857872,
-0.02740819938480854,
0.05080442130565643,
-0.008696973323822021,
0.0382508747279644,
-0.07370318472385406,
-0.01160663552582264,
-0.02542285807430744,
-0.0020310936961323023,
0.000826587958727032,
-0.016338983550667763,
-0.036671094596385956,
0.0416390523314476,
-0.01751214638352394,
-0.001789915724657476,
0.04093156382441521,
0.0094267837703228,
0.03282192721962929,
-0.0004022938956040889,
0.02510829269886017,
-0.023668337613344193,
-0.06147870793938637,
0.019880030304193497,
0.05456481873989105,
-0.008852696977555752,
-0.0762505754828453,
-0.050361014902591705,
0.013239841908216476,
0.046924155205488205,
-0.005461514461785555,
-0.029480595141649246,
0.006061065010726452,
-0.005863485857844353,
0.03420087322592735,
-0.04399869218468666,
0.01309078186750412,
-0.025003202259540558,
-0.02472790889441967,
-0.003340950235724449,
0.002122818259522319,
-0.0395192950963974,
-0.036147259175777435,
-0.06022154539823532,
-0.024309637024998665,
0.006048768758773804,
-0.03536740317940712,
-0.08194492012262344,
0.005647595040500164,
0.019983502104878426,
-0.02898842841386795,
0.010339210741221905,
-0.016409266740083694,
-0.09501825273036957,
-0.03582073375582695,
0.004040386527776718,
-0.021244047209620476,
-0.0628669336438179,
0.02013224922120571,
0.034766510128974915,
-0.04954669252038002,
-0.05586918070912361,
-0.031436383724212646,
0.051035959273576736,
0.019436702132225037,
-0.0024668502155691385,
0.03313737362623215,
-0.0788525864481926,
-0.0004971652524545789,
-0.025858445093035698,
0.020406018942594528,
0.034588444977998734,
-0.008073544129729271,
0.022652391344308853,
0.07654920220375061,
-0.009444991126656532,
0.01055552251636982,
0.04245280101895332,
0.02805732563138008,
0.004577850457280874,
0.038088347762823105,
-0.08055929094552994,
0.014711684547364712,
0.007616474758833647,
-0.03165102377533913,
-0.005885927472263575,
-0.054266758263111115,
-0.02989153377711773,
0.013313477858901024,
0.02144690603017807,
-0.03454873710870743,
-0.0008652862743474543,
0.02046012319624424,
-0.0019009861862286925,
-0.02818109840154648,
-0.010284940712153912,
-0.000036083056329516694,
0.0417143777012825,
0.018136827275156975,
-0.017328862100839615,
-0.06021120771765709,
0.015758896246552467,
-0.047445643693208694,
0.006021769251674414,
0.014600622467696667,
-0.02209531143307686,
0.012584411539137363,
-0.019282322376966476,
0.0251611415296793,
0.031350452452898026,
0.010541991330683231,
0.05022512376308441,
-0.019247977063059807,
0.006119974423199892,
0.04875306785106659,
-0.018219245597720146,
-0.016618436202406883,
-0.0025144368410110474,
0.02186538279056549,
0.007316631730645895,
-0.0255916528403759,
-0.009978114627301693,
0.0044453805312514305,
0.01794559508562088,
0.024042153730988503,
-0.007060103118419647,
0.015442638657987118,
-0.014577087946236134,
0.018456105142831802,
0.023571232333779335,
0.05089465156197548,
-0.04364969953894615,
0.02856673114001751,
-0.04639221727848053,
0.03922317922115326,
-0.040989793837070465,
0.04855917766690254,
-0.05714496597647667,
0.05253448337316513,
-0.06751910597085953,
0.02622065134346485,
0.0068579562939703465,
0.023179251700639725,
0.013666740618646145,
0.003904106328263879,
0.04227657616138458,
-0.05494537577033043,
-0.007810559123754501,
0.005711100064218044,
0.04786606505513191,
-0.008174453862011433,
-0.06591392308473587,
-0.014544820412993431,
0.001025483594276011,
-0.043183907866477966,
0.012865034863352776,
0.01895504631102085,
-0.008955242112278938,
-0.020982351154088974,
0.04937957227230072,
0.0069526610895991325,
-0.0402376614511013,
-0.014134428463876247,
0.0056818341836333275,
0.05573366582393646,
-0.008544055745005608,
-0.010311453603208065,
-0.013273765332996845,
-0.046395737677812576,
0.0008061390835791826,
-0.0016561041120439768,
0.025225432589650154,
0.005829986184835434,
-0.026044363155961037,
-0.0437932126224041,
-0.05625937506556511,
0.030782189220190048,
0.014622433111071587,
0.038842059671878815,
0.005216320976614952,
0.005814380943775177,
-0.00973446387797594,
-0.054385047405958176,
-0.012516215443611145,
0.02227296121418476,
-0.060417789965867996,
-0.0015523865586146712,
0.05339016392827034,
0.03269025683403015,
0.03359481319785118,
-0.044311001896858215,
-0.03720886632800102,
-0.04319251328706741,
-0.008109533227980137,
0.027234597131609917,
-0.024334318935871124,
-0.02827032469213009,
-0.021870067343115807,
-0.02382240816950798,
0.02624385803937912,
0.01821417547762394,
0.014412821270525455,
0.0025310462806373835,
-0.01310347393155098,
0.0185625571757555,
0.021340137347579002,
-0.044617313891649246,
-0.03158263489603996,
0.021810756996273994,
-0.06024625152349472,
0.015423319302499294,
-0.05555711314082146,
0.004989734850823879,
-0.006636571139097214,
0.011601302772760391,
0.0007882787613198161,
-0.038939718157052994,
0.04529505595564842,
0.01683022826910019,
-0.03311092406511307,
0.014349651522934437,
0.015882231295108795,
-0.0028607959393411875,
0.009551189839839935,
0.026220574975013733,
0.02839398756623268,
0.0281735397875309,
0.017735600471496582,
0.02655194140970707,
0.0168840903788805,
0.02560943365097046,
-0.003924806136637926,
-0.04348163679242134,
-0.010692434385418892,
0.055465251207351685,
-0.005527619272470474,
-0.051706597208976746,
-0.07393587380647659,
-0.030187781900167465,
0.010734877549111843,
-0.0022992012090981007,
0.044681619852781296,
-0.03512423858046532,
0.016585534438490868,
0.007795766927301884,
0.05323554202914238,
-0.031528957188129425,
-0.017232827842235565,
0.02214933931827545,
-0.06105378270149231,
0.02947269193828106,
-0.05990578234195709,
-0.00040286057628691196,
0.03603915497660637,
-0.057966198772192,
-0.047624897211790085,
-0.0024526366032660007,
-0.059813711792230606,
0.03384091705083847,
0.01892406865954399,
-0.04804126173257828,
0.04981841892004013,
-0.007479619234800339,
0.0036360176745802164,
0.029393907636404037,
-0.04344683885574341,
-0.021503590047359467,
-0.0094616012647748,
-0.05638916417956352,
0.010211252607405186,
-0.0031422306783497334,
0.057506218552589417,
-0.0068967645056545734,
0.0461886040866375,
-0.030604785308241844,
0.017272314056754112,
0.017248690128326416,
0.06795495003461838,
0.022642049938440323,
0.05789617821574211,
-0.019973397254943848,
0.06255751103162766,
0.03871975839138031,
0.051361750811338425,
-0.027676908299326897,
0.0028793311212211847,
-0.027542844414711,
-0.06707268208265305,
0.052235718816518784,
-0.044933758676052094,
-0.012996215373277664,
-0.031243203207850456,
0.08774297684431076,
0.029051553457975388,
-0.06506440043449402,
0.010067286901175976,
0.01081129815429449,
-0.06434721499681473,
-0.004233058076351881,
0.0030014687217772007,
0.02028089202940464,
-0.030827747657895088,
0.05877881124615669,
0.0099607789888978,
0.061157505959272385,
0.09123801440000534,
-0.005358000751584768,
-0.007296838331967592,
-0.006639376748353243,
0.05349452421069145,
0.02097676694393158,
0.08226387202739716,
-0.00762066850438714,
0.07085743546485901,
-0.05628688260912895,
-0.021787282079458237,
0.03253684937953949,
0.049672070890665054,
0.012250467203557491,
-0.049103688448667526,
0.03181794658303261,
0.042706623673439026,
-0.023188352584838867,
0.07444964349269867,
-0.031389977782964706,
-0.04454658925533295,
0.04631790146231651,
-0.0067655364982783794,
0.014656678773462772,
0.038553230464458466,
0.04110174626111984,
0.0188490841537714,
-0.04987925663590431,
-0.0013332749949768186,
0.034778233617544174,
-0.041664961725473404,
0.007911521941423416,
0.018161624670028687,
-0.011129590682685375,
0.01648404635488987,
-0.030944712460041046,
0.03817858174443245,
0.13762086629867554,
-0.015278365463018417,
-0.02346089296042919,
0.007683170959353447,
0.005444976035505533,
-0.006353285629302263,
0.0330694243311882,
0.049227066338062286,
-0.014094551093876362,
0.0029209733474999666,
-0.05917725712060928,
0.03241436183452606,
0.035792041569948196,
-0.02619842253625393,
0.055442336946725845,
-0.019003650173544884,
-0.049939341843128204,
-0.020197201520204544,
0.03256005793809891,
-0.03321776166558266,
-0.016655316576361656,
-0.03308199718594551,
-0.0327143557369709,
-0.03623863309621811,
-0.017542315647006035,
0.020401593297719955,
0.021428586915135384,
-0.02863890491425991,
0.02351580373942852,
-0.001567111350595951,
-0.0032917119096964598,
-0.003624796634539962,
-0.052482932806015015,
0.025434615090489388,
0.028226232156157494,
0.023606084287166595,
-0.0026779596228152514,
0.06312287598848343,
0.03964301943778992,
0.007687840145081282,
0.007886385545134544,
0.019037071615457535,
-0.003455677069723606,
0.004346440080553293,
-0.011066393926739693,
-0.016207009553909302,
-0.07675565779209137,
-0.0041619897820055485,
-0.01289540808647871,
-0.03531903401017189,
-0.06802282482385635,
-0.009575353935360909,
-0.03311387076973915,
0.033747266978025436,
0.08309464156627655,
0.0038643418811261654,
0.02600971609354019,
-0.0236018355935812,
0.01390385627746582,
0.021431967616081238,
0.004402897786349058,
0.03548182174563408,
-0.05154350772500038,
0.04789385944604874,
0.03326090797781944,
-0.03551378473639488,
-0.04479827359318733,
0.025226369500160217,
0.014156441204249859,
-0.008018755353987217,
-0.011359725147485733,
-0.030391404405236244,
-0.023893147706985474,
-0.12069810181856155,
-0.027649205178022385,
0.0014024102129042149,
0.01626518927514553,
-0.03619653731584549,
0.007160440552979708,
-0.01854594051837921,
-0.009867321699857712,
-0.004397560376673937,
-0.0190105177462101,
-0.0024662562645971775,
-0.02994941733777523,
-0.02165764383971691,
-0.053414665162563324,
0.017520606517791748,
-0.03963303193449974,
-0.012168608605861664,
-0.03007088601589203,
-0.05282169580459595,
0.00034511147532612085,
0.004038214683532715,
0.006761003751307726,
-0.03267550468444824,
0.031290024518966675,
-0.006654361728578806
] |
https://github.com/corneliocristina/HVR
|
587 |
Diffusion on Language Model Encodings for Protein Sequence Generation
|
https://openreview.net/forum?id=xB9eROwBCB
|
[
"Viacheslav Meshchaninov",
"Pavel Strashnov",
"Andrey Shevtsov",
"Fedor Nikolaev",
"Nikita Ivanisenko",
"Olga Kardymon",
"Dmitry Vetrov"
] |
Poster
|
Protein *sequence* design has seen significant advances through discrete diffusion and autoregressive approaches, yet the potential of continuous diffusion remains underexplored. Here, we present *DiMA*, a latent diffusion framework that operates on protein language model representations. Through systematic exploration of architectural choices and diffusion components, we develop a robust methodology that generalizes across multiple protein encoders ranging from 8M to 3B parameters. We demonstrate that our framework achieves consistently high performance across sequence-only (ESM-2, ESMc), dual-decodable (CHEAP), and multimodal (SaProt) representations using the same architecture and training approach. We conduct extensive evaluation of existing methods alongside *DiMA* using multiple metrics across two protein modalities, covering quality, diversity, novelty, and distribution matching of generated proteins. *DiMA* consistently produces novel, high-quality and diverse protein sequences and achieves strong results compared to baselines such as autoregressive, discrete diffusion and flow matching language models. The model demonstrates versatile functionality, supporting conditional generation tasks including protein family-generation, motif scaffolding and infilling, and fold-specific sequence design, despite being trained solely on sequence data. This work provides a universal continuous diffusion framework for protein sequence generation, offering both architectural insights and practical applicability across various protein design scenarios. Code is released at [GitHub](https://github.com/MeshchaninovViacheslav/DiMA).
|
continuous diffusion, generative protein design, score matching, denoising models, sequence modeling
|
A continuous latent diffusion framework for protein sequence generation with strong performance and versatile conditional generation capabilities.
| 12,885 |
2403.03726
|
[
-0.00965986680239439,
-0.006291951052844524,
-0.01559094712138176,
0.04900286719202995,
0.04016393423080444,
0.0341578908264637,
0.04738973081111908,
0.009887157008051872,
-0.004766129422932863,
-0.041407935321331024,
0.01765436865389347,
-0.005956537555903196,
-0.04110845923423767,
0.02525174245238304,
0.00415118457749486,
0.05438445881009102,
0.024749597534537315,
0.0017510406905785203,
0.0029112333431839943,
0.04573050141334534,
-0.03818707913160324,
-0.02333972230553627,
0.038345590233802795,
0.02342868223786354,
0.026129750534892082,
0.01167217642068863,
0.020946450531482697,
-0.022701231762766838,
-0.03099316917359829,
-0.0003072280087508261,
0.009249474853277206,
-0.008300726301968098,
0.013766803778707981,
0.012523443438112736,
0.0030352510511875153,
-0.01866515353322029,
-0.042274512350559235,
0.015193396247923374,
0.037772033363580704,
-0.0054957023821771145,
-0.03935466706752777,
0.001651253318414092,
-0.011726869270205498,
0.016348132863640785,
-0.033363983035087585,
-0.005642362870275974,
-0.10510816425085068,
0.0204135924577713,
-0.03079034388065338,
-0.03427788242697716,
-0.10051985085010529,
0.007245397660881281,
-0.00029867133707739413,
-0.036850545555353165,
0.014662104658782482,
0.028993351384997368,
0.040031105279922485,
-0.05224389210343361,
-0.006489532068371773,
-0.06628815829753876,
-0.03917963430285454,
0.017098449170589447,
0.01576777920126915,
0.0013149293372407556,
0.011120443232357502,
-0.000697172072250396,
-0.032547738403081894,
0.05445774644613266,
-0.08285722136497498,
-0.03173770755529404,
-0.0441380999982357,
0.0005991012440063059,
-0.014765613712370396,
-0.01791999861598015,
0.02434374950826168,
-0.04376014322042465,
0.0006792446365579963,
0.03565128147602081,
0.05693035200238228,
0.005910128820687532,
0.0027435999363660812,
0.02174810692667961,
-0.007370438892394304,
0.03612123057246208,
0.01986016146838665,
0.03283362463116646,
-0.055603403598070145,
0.0022194755729287863,
-0.063846655189991,
0.029197661206126213,
-0.02340414561331272,
-0.07500545680522919,
0.035065725445747375,
0.01637597382068634,
0.0492703877389431,
-0.01743466965854168,
0.01896551623940468,
0.02846415340900421,
-0.006467117927968502,
-0.006398453842848539,
-0.0663546696305275,
-0.03796647861599922,
0.0037999425549060106,
-0.03262120485305786,
-0.10489442944526672,
-0.023143785074353218,
-0.06348851323127747,
0.017988983541727066,
0.013749215751886368,
0.018870661035180092,
-0.0032520832028239965,
-0.008124510757625103,
-0.011919025331735611,
0.005088467616587877,
-0.0817825049161911,
0.06728222221136093,
0.014404332265257835,
0.004291029646992683,
-0.019338220357894897,
-0.021042553707957268,
0.05423160642385483,
0.050867125391960144,
0.006402267143130302,
0.09970652312040329,
-0.015095928683876991,
0.013093864545226097,
-0.008968457579612732,
0.02292395755648613,
-0.04149205610156059,
-0.013017872348427773,
0.016964642331004143,
0.04021807760000229,
0.0035434213932603598,
-0.015237629413604736,
-0.0006035694968886673,
0.0008951608906500041,
-0.005194635130465031,
0.023378822952508926,
0.0861232653260231,
-0.03709018602967262,
-0.002841284265741706,
-0.005161432083696127,
0.03566949442028999,
-0.02906201034784317,
0.0429128035902977,
-0.0022034812718629837,
-0.016827812418341637,
-0.02493332140147686,
-0.038697272539138794,
-0.0005425103008747101,
0.040841903537511826,
0.013771644793450832,
0.023989353328943253,
-0.03855495527386665,
0.01371467299759388,
0.0651620477437973,
-0.008491947315633297,
0.009108963422477245,
0.005486338399350643,
0.004127792548388243,
0.0134297925978899,
0.0010782367317005992,
-0.05537831783294678,
-0.00660199299454689,
0.010211088694632053,
-0.03788517042994499,
0.0423622727394104,
0.026152286678552628,
-0.0427725650370121,
-0.04402168095111847,
-0.03143047168850899,
-0.022369060665369034,
0.04264594614505768,
0.0026682813186198473,
-0.023103665560483932,
-0.01863817870616913,
0.03417038917541504,
0.012401999905705452,
0.06950996816158295,
0.014978812076151371,
-0.09306129813194275,
0.03364286944270134,
0.01068313978612423,
-0.010537821799516678,
0.024907317012548447,
-0.026002347469329834,
0.10179232805967331,
0.013979407958686352,
-0.012475678697228432,
0.055855702608823776,
-0.05824636295437813,
-0.03888732194900513,
0.030902110040187836,
-0.00919839832931757,
0.051388658583164215,
-0.002472663065418601,
-0.020750977098941803,
0.07917726039886475,
0.05389372631907463,
0.034576598554849625,
0.003614578628912568,
-0.0035446295514702797,
0.02057771012187004,
-0.022879652678966522,
-0.028263119980692863,
-0.01480063982307911,
0.052160732448101044,
-0.06687930226325989,
-0.04679058864712715,
-0.005696732550859451,
-0.003796535776928067,
-0.01684976927936077,
-0.014344736933708191,
-0.01548093557357788,
0.03739128261804581,
-0.00809930544346571,
0.018050773069262505,
0.00010518218186916783,
-0.01779753528535366,
-0.08091838657855988,
0.04216592758893967,
0.010722564533352852,
-0.03010641783475876,
-0.01580929569900036,
-0.03631855919957161,
0.10086094588041306,
0.07356686145067215,
-0.0400686152279377,
0.003120298497378826,
0.05507718399167061,
0.035177573561668396,
-0.028589410707354546,
0.02459579147398472,
-0.03733949363231659,
0.014550503343343735,
-0.016300445422530174,
0.013004635460674763,
0.020738976076245308,
0.044404637068510056,
-0.06706841289997101,
0.02411148138344288,
0.0842885747551918,
-0.0413181409239769,
0.026964429765939713,
-0.02039984054863453,
0.015890177339315414,
0.02798272855579853,
-0.03945460915565491,
-0.061709217727184296,
-0.009679569862782955,
-0.003138759871944785,
0.020624177530407906,
0.02835611253976822,
-0.03313802555203438,
-0.006788654252886772,
-0.04049041494727135,
-0.015622577629983425,
-0.01238187775015831,
0.056526195257902145,
0.044848255813121796,
0.016525309532880783,
0.026890983805060387,
0.011591983027756214,
-0.02575417049229145,
-0.019206617027521133,
-0.09670042246580124,
-0.04261332005262375,
-0.03394733741879463,
0.0498444065451622,
0.008580761961638927,
0.06352323293685913,
0.03153688460588455,
-0.021293004974722862,
-0.024772891774773598,
-0.027242328971624374,
-0.021590616554021835,
0.021135607734322548,
0.004446148406714201,
-0.051424577832221985,
-0.005272749811410904,
0.008035985752940178,
0.07070509344339371,
-0.03965756297111511,
-0.037354953587055206,
-0.05073333531618118,
-0.053348954766988754,
-0.028999080881476402,
-0.011054533533751965,
-0.006268496159464121,
0.05737020820379257,
0.03572675585746765,
0.019757868722081184,
-0.03553025424480438,
0.004569354932755232,
0.02260075882077217,
0.01049854326993227,
0.030983280390501022,
0.022604042664170265,
-0.006992224603891373,
0.01048581674695015,
0.025000998750329018,
0.010131214745342731,
-0.0039321319200098515,
0.012220286764204502,
-0.011999462731182575,
0.000555079139303416,
0.02603977732360363,
-0.046111028641462326,
-0.2627193331718445,
-0.015800470486283302,
-0.014340437948703766,
-0.04988532513380051,
0.0421324223279953,
-0.015935683622956276,
0.022797396406531334,
-0.024732409045100212,
-0.016588879749178886,
-0.0008774552261456847,
-0.002339948434382677,
0.04234718531370163,
-0.0032240652944892645,
0.03612765297293663,
0.04672469198703766,
0.025684529915452003,
-0.020972296595573425,
-0.0070904213935136795,
0.030819280073046684,
0.017487887293100357,
-0.017703881487250328,
-0.06772641092538834,
-0.01478543784469366,
0.03073948435485363,
-0.027689801529049873,
0.026398707181215286,
-0.10550029575824738,
0.016491850838065147,
-0.009713176637887955,
0.005420912057161331,
-0.01146367285400629,
-0.024937432259321213,
-0.02130347117781639,
0.0022481197956949472,
-0.009519586339592934,
0.0008729106630198658,
-0.010555358603596687,
0.007646123878657818,
0.04003765434026718,
0.026225928217172623,
0.0403367280960083,
-0.007609452586621046,
-0.036157604306936264,
-0.023276131600141525,
0.03536767140030861,
0.01946595497429371,
-0.04863400757312775,
0.01941779814660549,
-0.006142547819763422,
0.04835142567753792,
-0.008695877157151699,
-0.013378205709159374,
-0.012758515775203705,
0.03343747556209564,
0.03178345784544945,
-0.005320020020008087,
0.014912532642483711,
-0.012255476787686348,
0.0049661858938634396,
0.011740446090698242,
0.009051542729139328,
-0.031121689826250076,
-0.0020979000255465508,
-0.044070348143577576,
-0.004891552496701479,
-0.01146593689918518,
-0.049998022615909576,
-0.03245032578706741,
0.031289368867874146,
0.023896604776382446,
-0.060207344591617584,
0.015883078798651695,
-0.029304977506399155,
-0.08518783748149872,
0.03324311599135399,
-0.02349204383790493,
0.025139329954981804,
-0.016471223905682564,
-0.020678240805864334,
0.002863686764612794,
-0.022839626297354698,
0.00017847421986516565,
-0.03301907330751419,
0.02890893630683422,
0.03478065878152847,
-0.017359886318445206,
0.02076328545808792,
-0.038662903010845184,
-0.03534754738211632,
-0.06132667884230614,
0.018189456313848495,
-0.014803634956479073,
0.03701462969183922,
-0.019127948209643364,
0.0480843260884285,
0.011621063575148582,
0.022330433130264282,
0.06934458017349243,
0.026996832340955734,
-0.02655007503926754,
0.051714856177568436,
-0.09378434717655182,
-0.015573632903397083,
-0.06164442375302315,
0.000461927818832919,
0.0036683788057416677,
-0.06724696606397629,
-0.03398402780294418,
0.033415667712688446,
0.011714608408510685,
-0.06904798001050949,
-0.029024602845311165,
-0.02476976066827774,
-0.025263117626309395,
-0.007389761041849852,
-0.021390793845057487,
-0.0009618864278309047,
0.023213688284158707,
-0.013337685726583004,
-0.02085854485630989,
-0.03573627769947052,
0.04278094694018364,
-0.02761705033481121,
0.002062518848106265,
0.01226065494120121,
-0.0009531689574941993,
-0.02065986953675747,
-0.03947112336754799,
0.03053799271583557,
-0.004084778018295765,
0.03780466690659523,
0.04142536222934723,
-0.008094965480268002,
-0.009312720969319344,
0.07337333261966705,
0.02401605248451233,
-0.029806694015860558,
-0.015171907842159271,
-0.005630768369883299,
-0.03830046206712723,
0.010347966104745865,
-0.010677343234419823,
0.047633714973926544,
0.02669426053762436,
0.050058357417583466,
0.03194534033536911,
0.02048829011619091,
0.06713635474443436,
-0.0075400592759251595,
-0.013924955390393734,
0.033544931560754776,
-0.04118941351771355,
-0.0006063327309675515,
-0.024828357622027397,
-0.0005229106172919273,
-0.032915301620960236,
0.028504125773906708,
0.018816174939274788,
0.013570928946137428,
-0.06652506440877914,
0.022153330966830254,
0.004487684927880764,
-0.03668499365448952,
0.019984042271971703,
-0.002964103827252984,
0.04388987272977829,
-0.024803584441542625,
-0.010337253101170063,
0.014148956164717674,
-0.03241138905286789,
0.0028666530270129442,
0.01608360931277275,
-0.049271635711193085,
0.015259294770658016,
-0.04530763626098633,
0.011811274103820324,
-0.004315543454140425,
0.01193423941731453,
-0.021528005599975586,
0.07694976776838303,
0.017712172120809555,
-0.0212849210947752,
0.019479893147945404,
-0.0005323623772710562,
0.06106800213456154,
0.018803121522068977,
-0.006215136963874102,
-0.013021310791373253,
-0.05117250978946686,
0.037985365837812424,
-0.025342637673020363,
-0.012340291403234005,
-0.012018638662993908,
-0.04927855357527733,
-0.04050498828291893,
-0.033982422202825546,
0.011156824417412281,
0.06770652532577515,
-0.00956569705158472,
-0.004319543484598398,
0.006881874520331621,
0.00523516908288002,
-0.029455482959747314,
-0.008819404058158398,
0.04510011151432991,
-0.06957051903009415,
0.0010325821349397302,
0.014116822741925716,
-0.015060750767588615,
0.011623200960457325,
0.008930293843150139,
-0.03435813635587692,
-0.045126836746931076,
-0.009037058800458908,
0.005384625867009163,
0.008417976088821888,
0.0030375381466001272,
-0.007042061537504196,
0.022783193737268448,
-0.006584538146853447,
-0.013631792739033699,
-0.004730930086225271,
0.004299492109566927,
-0.006344389636069536,
-0.02639521099627018,
0.04681364819407463,
-0.03408559039235115,
0.014512763358652592,
-0.02002681791782379,
-0.017744114622473717,
0.07784489542245865,
-0.04152077063918114,
0.030795829370617867,
0.03723903000354767,
0.017407739534974098,
-0.011302932165563107,
-0.04103976488113403,
0.033324453979730606,
0.027574779465794563,
-0.0055102454498410225,
0.001983146881684661,
-0.014848733320832253,
-0.037055376917123795,
-0.004321493674069643,
0.015777766704559326,
0.05881085619330406,
-0.010178431868553162,
0.0049315886572003365,
0.019075896590948105,
0.060655806213617325,
0.024193793535232544,
0.026903880760073662,
-0.03290891274809837,
-0.016402628272771835,
0.06134423613548279,
-0.015061136335134506,
-0.03573346510529518,
-0.05603259056806564,
-0.04244791343808174,
0.012002007104456425,
0.00736444303765893,
0.03712417185306549,
-0.014583393931388855,
0.0462055541574955,
0.03106781095266342,
-0.005780808161944151,
-0.00016703228175174445,
0.004039674066007137,
0.04220927506685257,
-0.01685361936688423,
0.012609567493200302,
-0.06192860007286072,
0.013534779660403728,
0.07778026163578033,
-0.03928970918059349,
0.012398958206176758,
-0.0508977472782135,
-0.020212853327393532,
0.027780456468462944,
-0.036551740020513535,
-0.06989462673664093,
-0.005769651848822832,
-0.0036844408605247736,
-0.012708324007689953,
0.04372280836105347,
-0.06525763124227524,
-0.011700957082211971,
-0.0023606375325471163,
-0.031002027913928032,
-0.010457931086421013,
0.014399630017578602,
0.026050906628370285,
-0.03846198692917824,
-0.008255121298134327,
-0.01372432429343462,
0.0010967222042381763,
0.02990070916712284,
0.0617448128759861,
0.006023470778018236,
0.04062806814908981,
-0.01989089325070381,
0.08926242589950562,
0.055770471692085266,
0.024299748241901398,
-0.0108112758025527,
0.016230063512921333,
-0.0023624435998499393,
-0.041852135211229324,
0.015373473055660725,
0.01379751693457365,
-0.018904391676187515,
-0.043325699865818024,
0.07370792329311371,
0.03132488578557968,
-0.057898711413145065,
-0.004387032240629196,
0.02965504303574562,
-0.028174765408039093,
0.007555839139968157,
-0.022424330934882164,
0.04213246703147888,
-0.02475309930741787,
0.0680852010846138,
0.008810771629214287,
0.033563315868377686,
0.07314057648181915,
0.006354375742375851,
0.007770256604999304,
-0.015477745793759823,
0.0851905569434166,
0.06241921707987785,
0.015945248305797577,
0.014799397438764572,
0.0653286799788475,
-0.03220990672707558,
-0.041473012417554855,
0.030932046473026276,
0.029099708423018456,
-0.02183349058032036,
-0.049754686653614044,
0.044755347073078156,
0.09784647077322006,
-0.017805272713303566,
0.043799445033073425,
-0.03624029830098152,
-0.008547713980078697,
0.01702870987355709,
0.036816760897636414,
0.024954918771982193,
0.02099243924021721,
0.043539583683013916,
0.024451345205307007,
-0.00904978346079588,
0.014259228482842445,
-0.027217816561460495,
-0.033417537808418274,
0.022986380383372307,
0.009894544258713722,
-0.009081150405108929,
0.019802626222372055,
-0.030007997527718544,
0.013954686000943184,
0.10973884165287018,
-0.015310990624129772,
-0.026699483394622803,
-0.017589863389730453,
0.01756933704018593,
-0.0049990396946668625,
0.031133851036429405,
-0.011003871448338032,
-0.0063128103502094746,
-0.010792302899062634,
-0.07065924257040024,
0.022388054057955742,
0.01430270541459322,
0.0012504857731983066,
0.027750078588724136,
-0.025729896500706673,
-0.027539433911442757,
0.004424833692610264,
0.014471118338406086,
-0.04260261729359627,
-0.03989626094698906,
-0.03970538452267647,
-0.05924081802368164,
-0.0723516047000885,
-0.05473630502820015,
0.03324846550822258,
-0.00829059723764658,
-0.02158910222351551,
-0.00855022482573986,
-0.02892562560737133,
0.024570025503635406,
0.021047549322247505,
-0.06861260533332825,
-0.04123572260141373,
0.05462238937616348,
-0.012513450346887112,
-0.02114865928888321,
0.02178228460252285,
0.003221438266336918,
-0.012073544785380363,
-0.012228567153215408,
0.028994120657444,
0.04101678729057312,
-0.004384923260658979,
0.019098510965704918,
0.02918664552271366,
-0.088548444211483,
0.04194670915603638,
0.037367966026067734,
-0.03122580796480179,
-0.10138484835624695,
0.01921776309609413,
-0.0223589725792408,
0.024732081219553947,
0.044058091938495636,
0.025025999173521996,
-0.012606942094862461,
-0.03966953232884407,
0.013294299133121967,
0.015126071870326996,
0.01975824683904648,
0.05907159298658371,
-0.0514087900519371,
0.08821548521518707,
0.044562455266714096,
-0.013139870017766953,
-0.031436339020729065,
0.03310921788215637,
0.018354082480072975,
-0.004567096475511789,
0.019107922911643982,
-0.06572259217500687,
-0.06420640647411346,
-0.06437700241804123,
-0.022347796708345413,
0.036970991641283035,
-0.04090322181582451,
-0.021130671724677086,
0.012694530189037323,
0.0064606149680912495,
0.01300069596618414,
-0.025233516469597816,
-0.015229873359203339,
-0.02970239892601967,
-0.010663896799087524,
-0.04417936131358147,
-0.06234441325068474,
-0.0009687884012237191,
-0.020227130502462387,
0.006821754388511181,
-0.029894672334194183,
-0.01276337169110775,
-0.00447526341304183,
0.011793436482548714,
0.04830402135848999,
-0.010197117924690247,
-0.006124552804976702,
0.031372781842947006
] |
https://github.com/MeshchaninovViacheslav/DiMA
|
588 |
Stacey: Promoting Stochastic Steepest Descent via Accelerated ℓp-Smooth Nonconvex Optimization
|
https://openreview.net/forum?id=TaqwI9qF5Q
|
[
"Xinyu Luo",
"Site Bai",
"Bolian Li",
"Petros Drineas",
"Ruqi Zhang",
"Brian Bullins"
] |
Poster
|
While popular optimization methods such as SGD, AdamW, and Lion depend on steepest descent updates in either $\ell_2$ or $\ell_\infty$ norms, there remains a critical gap in handling the non-Euclidean structure observed in modern deep networks training. In this work, we address this need by introducing a new accelerated $\ell_p$ steepest descent algorithm, called Stacey, which uses interpolated primal-dual iterate sequences to effectively navigate non-Euclidean smooth optimization tasks. In addition to providing novel theoretical guarantees for the foundations of our algorithm, we empirically compare our approach against these popular methods on tasks including image classification and language model (LLM) pretraining, demonstrating both faster convergence and higher final accuracy. We further evaluate different values of $p$ across various models and datasets, underscoring the importance and efficiency of non-Euclidean approaches over standard Euclidean methods. Code can be found at https://github.com/xinyuluo8561/Stacey.
|
Non-convex Optimization, Non-Euclidean Acceleration, Stochastic Steepest Descent
|
We propose Stacey, an accelerated $\ell_p$ steepest descent algorithm that leverages non-Euclidean geometry to achieve faster convergence and higher accuracy.
| 12,883 | null |
[
-0.008147585205733776,
-0.03520099073648453,
0.01326330192387104,
0.05789841338992119,
0.023134879767894745,
0.05860864743590355,
0.045368172228336334,
-0.00830916129052639,
-0.012545924633741379,
-0.04117501154541969,
-0.02943730354309082,
-0.005378173664212227,
-0.05368097871541977,
0.01154903694987297,
0.03799602389335632,
0.054333653301000595,
0.029788780957460403,
-0.014319195412099361,
0.014266381040215492,
0.04298241063952446,
0.0025206359568983316,
-0.03324878215789795,
0.018520476296544075,
0.010316804051399231,
0.034988000988960266,
-0.01521140243858099,
-0.00640794588252902,
0.01630733720958233,
-0.02586302161216736,
-0.020434239879250526,
0.02847113087773323,
-0.008839024230837822,
0.008440538309514523,
-0.04019716754555702,
0.03404154255986214,
0.015034912154078484,
-0.04000313580036163,
0.010961728170514107,
0.010232942178845406,
0.03166014701128006,
-0.05234787240624428,
-0.019761277362704277,
-0.005128929391503334,
0.021856851875782013,
-0.04290742799639702,
-0.006157564464956522,
-0.09813197702169418,
0.029303260147571564,
0.01808040216565132,
-0.05444633588194847,
-0.08378427475690842,
0.05098437890410423,
0.020075896754860878,
-0.029917772859334946,
0.002169596031308174,
0.03640598803758621,
0.03708057105541229,
-0.08646738529205322,
-0.0030606172513216734,
-0.058358803391456604,
-0.03532899171113968,
0.022379938513040543,
0.022264990955591202,
-0.0053231241181492805,
-0.011818542145192623,
0.011194470338523388,
0.0021694034803658724,
0.03629985824227333,
-0.044039495289325714,
-0.056627098470926285,
0.013218363747000694,
-0.0025645496789366007,
0.018394365906715393,
0.011443921364843845,
-0.014021321199834347,
-0.04420962184667587,
0.010527350939810276,
0.029767071828246117,
0.05850601568818092,
0.0038734774570912123,
0.02280283160507679,
0.017967799678444862,
0.0011549071641638875,
0.0635213777422905,
-0.02864195965230465,
0.03141465410590172,
-0.022373931482434273,
-0.0077026099897921085,
-0.07174400240182877,
0.046114105731248856,
-0.029520932585000992,
-0.03255653753876686,
0.023677030578255653,
0.029163436964154243,
-0.0003151104610878974,
-0.009645480662584305,
0.038174740970134735,
-0.0019264381844550371,
0.023789744824171066,
0.0015523257898166776,
-0.009743884205818176,
-0.06267274171113968,
0.01713690534234047,
-0.008887267671525478,
-0.1018986776471138,
-0.0016801736783236265,
-0.03567122295498848,
-0.0049308473244309425,
-0.0002721014025155455,
0.005214361473917961,
-0.0271079633384943,
0.017855174839496613,
0.00335045182146132,
-0.02260410413146019,
-0.06267745792865753,
0.01034330390393734,
-0.00015039807476568967,
0.002840968081727624,
-0.021372292190790176,
-0.019930686801671982,
0.033177878707647324,
0.02609938569366932,
-0.007970685139298439,
0.06942179799079895,
-0.010516766458749771,
0.02047811634838581,
0.008708334527909756,
0.043062370270490646,
-0.02416362054646015,
-0.04310279339551926,
0.022580381482839584,
0.03589291870594025,
0.03402169421315193,
0.006628932431340218,
-0.013662764802575111,
-0.03577559441328049,
-0.015065689571201801,
0.036858316510915756,
0.028804687783122063,
-0.010632339864969254,
0.01706601493060589,
-0.0076047200709581375,
0.05808025225996971,
0.004546446725726128,
0.06622026115655899,
-0.022131450474262238,
0.0195936132222414,
-0.04125006124377251,
-0.08996488898992538,
-0.011516939848661423,
0.018110446631908417,
-0.005938219837844372,
-0.013383060693740845,
-0.07293686270713806,
0.030637407675385475,
0.0707351341843605,
0.02629227191209793,
0.04384615272283554,
0.00012033611710648984,
0.031575415283441544,
0.00930096860975027,
-0.005738476756960154,
-0.061927761882543564,
0.006086179055273533,
-0.005652393214404583,
-0.06008113548159599,
0.04953742399811745,
0.05795114114880562,
-0.04350333660840988,
0.017972202971577644,
-0.02527352049946785,
-0.039489615708589554,
0.05700240284204483,
-0.009686745703220367,
-0.027726683765649796,
-0.003278268501162529,
0.09676875174045563,
0.006601709872484207,
0.04201430082321167,
0.053947094827890396,
-0.09491769969463348,
0.02975381165742874,
0.028664184734225273,
-0.01454876083880663,
-0.006713344715535641,
-0.034925427287817,
0.0885351225733757,
-0.02635538950562477,
0.007671080995351076,
0.03461966663599014,
-0.08481630682945251,
-0.01973358355462551,
-0.012167500331997871,
-0.014473964460194111,
0.06447754800319672,
0.02196391671895981,
0.000743477838113904,
0.0017111576162278652,
0.01681078039109707,
0.038633137941360474,
0.07531452178955078,
-0.04890508949756622,
0.02692154422402382,
0.014467651955783367,
-0.0627535730600357,
0.020892176777124405,
0.03816411644220352,
-0.029303425922989845,
-0.013132150284945965,
0.028969036415219307,
-0.016689913347363472,
-0.021226832643151283,
-0.02652006968855858,
0.009007934480905533,
0.030456624925136566,
-0.007581622339785099,
0.01219744049012661,
-0.008579536341130733,
0.03718389943242073,
-0.02652074210345745,
0.05324376001954079,
0.01946388930082321,
0.013797109015285969,
-0.006185120902955532,
-0.004740830045193434,
0.0715566948056221,
0.06600500643253326,
-0.028219765052199364,
-0.004039216786623001,
-0.0005996827967464924,
0.007687058299779892,
-0.008713585324585438,
0.031082479283213615,
-0.03379407525062561,
0.017623718827962875,
-0.006306400988250971,
0.03378191962838173,
-0.04537571594119072,
0.0466093048453331,
-0.04112541303038597,
-0.025365766137838364,
0.05472349748015404,
0.0004433418798726052,
0.06607898324728012,
0.012078460305929184,
-0.012631422840058804,
0.023676928132772446,
-0.0069669876247644424,
-0.029104024171829224,
-0.049502916634082794,
-0.018010329455137253,
0.008672276511788368,
0.018082808703184128,
0.005777738988399506,
-0.0034537373576313257,
-0.04986921325325966,
0.0027588815428316593,
-0.01097040344029665,
0.07060161978006363,
0.07147824764251709,
0.015962354838848114,
0.02523989789187908,
0.02455063723027706,
-0.04356267303228378,
-0.012052962556481361,
-0.10791836678981781,
-0.05003633350133896,
-0.028752099722623825,
0.07487716525793076,
-0.007567189633846283,
0.03155794367194176,
-0.034254398196935654,
0.021978115662932396,
-0.029267393052577972,
-0.02102123573422432,
-0.012146644294261932,
0.044573135673999786,
0.03546475991606712,
-0.03290305659174919,
-0.018633080646395683,
0.006109064444899559,
0.06612486392259598,
-0.020601779222488403,
0.0016026482917368412,
-0.05072860047221184,
-0.03271860629320145,
-0.009670766070485115,
-0.050023630261421204,
0.01840188354253769,
0.027245718985795975,
0.01309191808104515,
0.013350436463952065,
-0.04272537678480148,
0.024871163070201874,
0.03980883210897446,
0.06594725698232651,
0.06024900823831558,
0.008605754934251308,
-0.0271940678358078,
0.015757950022816658,
0.00875013042241335,
0.02790064364671707,
-0.02857513353228569,
0.0069778370670974255,
-0.009737813845276833,
0.010017900727689266,
0.03195071592926979,
0.01764622889459133,
-0.2731342911720276,
-0.02583850361406803,
0.013622202910482883,
0.004300286993384361,
0.04033169150352478,
-0.013903033919632435,
0.01202255580574274,
-0.02388375625014305,
-0.03620365262031555,
0.004990263842046261,
0.0023163959849625826,
0.04510945454239845,
0.00495587382465601,
0.021787770092487335,
0.05318852514028549,
0.010073206387460232,
-0.019790226593613625,
0.007958508096635342,
-0.013227623887360096,
0.05131834000349045,
0.006959154270589352,
-0.07492971420288086,
0.0011594106908887625,
0.03060068003833294,
0.0061196740716695786,
0.04878327623009682,
-0.05393107607960701,
-0.037384603172540665,
-0.02569827251136303,
-0.040395837277173996,
-0.019000208005309105,
-0.012239267118275166,
-0.007314356509596109,
0.05764070525765419,
-0.01689222641289234,
0.004865217953920364,
0.022685294970870018,
-0.020062126219272614,
0.0682535320520401,
0.016839219257235527,
-0.039143163710832596,
-0.014402739703655243,
-0.019568994641304016,
0.046440526843070984,
0.06055731326341629,
0.02132011204957962,
-0.04586855322122574,
0.005879017990082502,
-0.01736445538699627,
0.009785575792193413,
0.007034992333501577,
-0.024099884554743767,
-0.036449797451496124,
0.026148129254579544,
0.03391231968998909,
-0.02077263779938221,
-0.02104201726615429,
-0.027967995032668114,
-0.005490884650498629,
-0.014371909201145172,
0.011321093887090683,
-0.07078474014997482,
-0.010604621842503548,
-0.03162911906838417,
0.001584589364938438,
-0.025683291256427765,
-0.06678067892789841,
-0.05727001652121544,
0.015622050501406193,
0.03043760359287262,
-0.002826190320774913,
0.036109331995248795,
-0.019333528354763985,
-0.07825736701488495,
0.0008120483835227787,
0.018721969798207283,
-0.008218116126954556,
-0.00628505926579237,
-0.01812148466706276,
0.06258255988359451,
-0.034905049949884415,
-0.04995924234390259,
0.02404293790459633,
0.036575768142938614,
0.00572175020352006,
-0.05675986781716347,
0.03411358594894409,
-0.022538471966981888,
0.013164023868739605,
-0.04757660999894142,
0.02327655255794525,
0.009181065484881401,
0.035339586436748505,
-0.016922837123274803,
0.038533467799425125,
0.027994941920042038,
0.015367875806987286,
0.0448143407702446,
0.008343638852238655,
-0.013076328672468662,
0.011162498034536839,
-0.07062525302171707,
-0.005914037115871906,
-0.020974915474653244,
-0.02959580160677433,
0.018027514219284058,
-0.039545852690935135,
-0.04398537427186966,
0.04883085563778877,
0.0132793253287673,
-0.04152399301528931,
-0.057506971061229706,
0.009943288750946522,
-0.014106148853898048,
-0.02507050149142742,
-0.01326071098446846,
0.01944102719426155,
0.02735784649848938,
0.009022330865263939,
-0.01631656475365162,
-0.012760275043547153,
0.0683508962392807,
-0.024118667468428612,
-0.023799359798431396,
0.013094188645482063,
0.026908988133072853,
-0.00645026657730341,
-0.00907476618885994,
-0.024262262508273125,
-0.03145325183868408,
0.02204976975917816,
0.055977046489715576,
0.007056529633700848,
-0.03657263144850731,
0.04592360183596611,
-0.004976909141987562,
-0.0009046932100318372,
-0.019074391573667526,
0.08021199703216553,
-0.008001587353646755,
0.023342804983258247,
0.023245051503181458,
0.030076853930950165,
0.025604821741580963,
0.01430390402674675,
0.015429231338202953,
0.04198981821537018,
-0.02937387302517891,
-0.009511751122772694,
0.0072854808531701565,
0.004047947470098734,
-0.025729019194841385,
-0.0033092061057686806,
-0.033645275980234146,
0.04597175866365433,
0.005029043182730675,
0.04409492388367653,
-0.018295904621481895,
0.0015031704679131508,
-0.06338119506835938,
0.02945362962782383,
0.026698924601078033,
-0.023341994732618332,
0.019926823675632477,
0.03942326828837395,
0.037768688052892685,
-0.02266616001725197,
-0.02861316129565239,
0.001668226788751781,
-0.012445840053260326,
0.02645394578576088,
-0.005797486752271652,
-0.03568355739116669,
-0.030238956212997437,
0.00970589928328991,
-0.005300740245729685,
0.004512251354753971,
-0.01390735525637865,
-0.05399860814213753,
0.01463771890848875,
0.011939305812120438,
-0.018916144967079163,
-0.006625956855714321,
0.03590971976518631,
0.0774659588932991,
0.007883227430284023,
-0.03663473576307297,
0.000765312637668103,
-0.015399543568491936,
0.04485408589243889,
-0.03885917738080025,
-0.01989034377038479,
-0.024850955232977867,
-0.030801188200712204,
-0.002376041142269969,
-0.027819164097309113,
0.028723977506160736,
0.0313020758330822,
-0.01825326308608055,
0.007521160878241062,
-0.011090002954006195,
0.011433917097747326,
-0.03720977157354355,
-0.00009526652138447389,
0.030720151960849762,
-0.08283847570419312,
0.008725300431251526,
0.022913090884685516,
-0.03001565858721733,
0.0055826157331466675,
-0.02051052823662758,
-0.0432039350271225,
-0.042909007519483566,
-0.007155069150030613,
0.002757983049377799,
-0.036584459245204926,
-0.02055252529680729,
0.04120836406946182,
-0.00790425669401884,
-0.02044672891497612,
0.02229129895567894,
0.0007749486831016839,
0.00039486383320763707,
-0.028173774480819702,
-0.0018782088300213218,
0.04692023620009422,
-0.057535819709300995,
-0.01716763526201248,
0.04475458338856697,
0.0010591991012915969,
-0.0011579025303944945,
-0.07159586250782013,
0.004693943541496992,
0.03254000470042229,
-0.007450023200362921,
0.04340058192610741,
-0.073527492582798,
0.04683270677924156,
-0.040542080998420715,
-0.036599330604076385,
-0.018724769353866577,
0.016971733421087265,
-0.04278379678726196,
-0.0001745374611346051,
-0.0213394146412611,
0.040791332721710205,
0.0025582171510905027,
0.030017441138625145,
0.007992859929800034,
0.007317813113331795,
0.026756495237350464,
0.02180308848619461,
-0.04835180938243866,
-0.014249409548938274,
0.058286093175411224,
-0.030485764145851135,
-0.003972402308136225,
-0.07849956303834915,
-0.0038352401461452246,
0.023112576454877853,
-0.01881011202931404,
0.007105626165866852,
-0.0343673937022686,
0.0430830717086792,
0.013092651031911373,
0.04091595485806465,
0.02137218974530697,
-0.005195262376219034,
0.03455490246415138,
-0.045876819640398026,
-0.0027981381863355637,
-0.0785890743136406,
-0.016131529584527016,
0.05339382216334343,
-0.020212367177009583,
0.025550836697220802,
0.011524317786097527,
-0.030156534165143967,
-0.00003758611637749709,
-0.03315611556172371,
-0.0357791967689991,
0.01463098544627428,
-0.05211132392287254,
0.0009073901455849409,
0.0022443414200097322,
-0.047536492347717285,
-0.01601635478436947,
-0.02144777961075306,
-0.0458591990172863,
0.017697826027870178,
0.014637813903391361,
0.03052148036658764,
0.003073416417464614,
0.02732394076883793,
-0.0408756248652935,
0.017311513423919678,
0.02292029745876789,
0.04859629273414612,
0.02131577953696251,
-0.009913656860589981,
-0.017902206629514694,
0.05420327186584473,
0.036494459956884384,
0.016106421127915382,
-0.02948157489299774,
0.030729027464985847,
-0.008585774339735508,
-0.044567424803972244,
0.06866523623466492,
-0.011321062222123146,
-0.04382921755313873,
-0.04366232827305794,
0.0334380567073822,
0.0427522212266922,
-0.040003933012485504,
-0.04456792399287224,
0.03411794453859329,
-0.051403965801000595,
-0.012926244176924229,
-0.005667536985129118,
-0.005941222887486219,
0.028068073093891144,
0.0920853242278099,
0.01545458659529686,
0.006990842986851931,
0.06716279685497284,
0.024282442405819893,
-0.025890028104186058,
-0.000692885194439441,
0.06776385009288788,
0.062484677881002426,
0.04328400269150734,
-0.048630934208631516,
0.060887400060892105,
-0.026298334822058678,
-0.022591369226574898,
0.031867366284132004,
0.005172190722078085,
-0.0301077738404274,
-0.05673407018184662,
-0.017587805166840553,
0.054501745849847794,
-0.02260695956647396,
0.07338003069162369,
-0.04991821199655533,
0.008304293267428875,
0.0371922105550766,
-0.028060412034392357,
-0.018921619281172752,
0.04535141587257385,
0.027265410870313644,
0.022949447855353355,
-0.03779075667262077,
-0.02690649777650833,
0.012588685378432274,
0.01168749202042818,
0.0023811073042452335,
-0.02787073701620102,
-0.0043325782753527164,
0.00013175631465855986,
-0.004101508762687445,
0.00529366685077548,
0.11630073934793472,
-0.056285310536623,
-0.04077007994055748,
-0.02251279726624489,
-0.012662006542086601,
0.009154791943728924,
0.06940010190010071,
0.027522413060069084,
-0.05237044394016266,
0.03918737173080444,
-0.04461994767189026,
0.01629934459924698,
0.028177618980407715,
0.01132347621023655,
0.014665493741631508,
-0.013686644844710827,
-0.03222246095538139,
0.0058854385279119015,
0.044935643672943115,
-0.010951333679258823,
-0.06343329697847366,
-0.035646647214889526,
-0.05692227929830551,
-0.07191871851682663,
-0.07259375602006912,
0.0007523079984821379,
-0.014257775619626045,
-0.028826633468270302,
-0.0008975358796305954,
-0.029522273689508438,
0.04054741933941841,
0.01748083345592022,
-0.027769794687628746,
0.004566824063658714,
0.034606266766786575,
0.0005031638429500163,
-0.01614336669445038,
0.021244723349809647,
0.039628759026527405,
-0.01817871443927288,
-0.0003255300398450345,
0.02550104632973671,
-0.010137442499399185,
0.0022385967895388603,
-0.01851530559360981,
-0.015723491087555885,
-0.09428729116916656,
0.02988375909626484,
0.029105719178915024,
-0.027594514191150665,
-0.08605220913887024,
0.019993338733911514,
-0.019455205649137497,
0.04962337762117386,
0.049086879938840866,
0.0014729003887623549,
0.03285070136189461,
-0.046489302068948746,
-0.026086635887622833,
-0.016069116070866585,
-0.005324252415448427,
0.03891289606690407,
0.014535616151988506,
0.05888024717569351,
0.047427959740161896,
-0.012364165857434273,
-0.03879759833216667,
0.015181919559836388,
-0.01333801168948412,
0.008264766074717045,
-0.022917965427041054,
-0.0275445394217968,
-0.050362393260002136,
-0.12806400656700134,
-0.0352819487452507,
0.048790525645017624,
-0.014220173470675945,
-0.03801390528678894,
0.011842881329357624,
-0.013868961483240128,
0.006850505247712135,
0.019467366859316826,
-0.01664089225232601,
0.006468296051025391,
-0.03777189552783966,
-0.028680352494120598,
-0.059686899185180664,
0.02695019356906414,
-0.01376340538263321,
0.009585412219166756,
-0.028148725628852844,
-0.03761009871959686,
-0.0071538034826517105,
0.0009430496720597148,
0.043589670211076736,
0.0197210144251585,
0.03950653225183487,
-0.008645955473184586
] | null |
589 |
Verification Learning: Make Unsupervised Neuro-Symbolic System Feasible
|
https://openreview.net/forum?id=aAkq9mMviY
|
[
"Lin-Han Jia",
"Wen-Chao Hu",
"Jie-Jing Shao",
"Lan-Zhe Guo",
"Yu-Feng Li"
] |
Poster
|
The current Neuro-Symbolic (NeSy) Learning paradigm suffers from an over-reliance on labeled data, so if we completely disregard labels, it leads to less symbol information, a larger solution space, and more shortcuts—issues that current Nesy systems cannot resolve. This paper introduces a novel learning paradigm, Verification Learning (VL), which addresses this challenge by transforming the label-based reasoning process in Nesy into a label-free verification process. VL achieves excellent learning results solely by relying on unlabeled data and a function that verifies whether the current predictions conform to the rules. We formalize this problem as a Constraint Optimization Problem (COP) and propose a Dynamic Combinatorial Sorting (DCS) algorithm that accelerates the solution by reducing verification attempts, effectively lowering computational costs and introduce a prior alignment method to address potential shortcuts. Our theoretical analysis points out which tasks in Nesy systems can be completed without labels and explains why rules can replace infinite labels for some tasks, while for others the rules have no effect. We validate the proposed framework through several fully unsupervised tasks including addition, sort, match, and chess, each showing significant performance and efficiency improvements.
|
Neural Symbolic Learning
| null | 12,876 |
2503.12917
|
[
-0.01950298249721527,
-0.006928530987352133,
-0.024301934987306595,
0.0314846970140934,
0.041181743144989014,
0.03328928351402283,
0.007517831400036812,
-0.020197294652462006,
-0.038532789796590805,
-0.019092516973614693,
0.004877233877778053,
0.035484328866004944,
-0.06976848840713501,
0.013837134465575218,
0.01146912481635809,
0.03739383444190025,
0.0355357900261879,
0.017156366258859634,
0.02390529215335846,
0.02144431695342064,
-0.025295650586485863,
-0.025645269080996513,
0.01023353822529316,
0.006940004415810108,
0.035807084292173386,
0.0053311912342906,
0.005380569025874138,
-0.014412922784686089,
-0.03615042194724083,
0.020208396017551422,
0.04291075840592384,
-0.018301639705896378,
0.002575232181698084,
-0.03004205971956253,
-0.007601911202073097,
0.034761711955070496,
-0.035046789795160294,
0.006455074530094862,
-0.00569419888779521,
-0.013798973523080349,
-0.04609376937150955,
0.025344641879200935,
-0.0027174169663339853,
-0.009229619055986404,
-0.06321951746940613,
0.01972373202443123,
-0.11173649877309799,
0.007937430404126644,
0.0016658257227391005,
-0.05177323892712593,
-0.08518548309803009,
0.0324801504611969,
-0.0019185050623491406,
-0.018730666488409042,
-0.014392098411917686,
0.02297350950539112,
0.04548073559999466,
-0.08230765908956528,
-0.012833925895392895,
-0.061560098081827164,
-0.02946590632200241,
0.03768882155418396,
0.024242399260401726,
0.006838956382125616,
-0.021944424137473106,
-0.013408761471509933,
0.029915250837802887,
0.035675618797540665,
-0.06298113614320755,
-0.012378384359180927,
-0.016003943979740143,
-0.006757241673767567,
0.010838714428246021,
-0.010184084065258503,
0.022826271131634712,
-0.04467810317873955,
0.014629663899540901,
0.03545291721820831,
0.05552450940012932,
-0.012264220044016838,
0.02295817993581295,
0.04746810346841812,
0.014879218302667141,
0.031067362055182457,
0.022295624017715454,
0.0031714397482573986,
-0.06339504569768906,
-0.044294774532318115,
-0.06987760961055756,
0.03432470187544823,
-0.009725673124194145,
-0.010346399620175362,
0.02348998747766018,
0.035938605666160583,
0.006400699261575937,
0.014060557819902897,
0.0027420518454164267,
0.006317317485809326,
0.0159253291785717,
0.014915360137820244,
-0.016881661489605904,
-0.04572693631052971,
0.03649413213133812,
-0.01761617884039879,
-0.09774109721183777,
-0.04111451655626297,
-0.01661456748843193,
-0.008149591274559498,
0.026473600417375565,
-0.004196478985249996,
-0.028595369309186935,
-0.004725294187664986,
0.03462057188153267,
0.017550986260175705,
-0.06747901439666748,
0.03641485050320625,
-0.021585671231150627,
0.024533268064260483,
-0.005169682204723358,
0.02493436634540558,
0.05220476910471916,
0.05109984427690506,
-0.003833548165857792,
0.05370621383190155,
-0.008288132026791573,
0.031027493998408318,
0.008223426528275013,
0.036966923624277115,
-0.031958095729351044,
-0.03827870264649391,
0.018773531541228294,
0.03705977648496628,
0.0077081164345145226,
0.0038601176347583532,
-0.02781703695654869,
0.0029937149956822395,
-0.01947864517569542,
-0.00865763146430254,
0.02809133753180504,
0.017415106296539307,
0.00147223228123039,
-0.007595885545015335,
0.05772385001182556,
-0.04081612080335617,
0.07277003675699234,
-0.018561020493507385,
-0.025220226496458054,
-0.005817425902932882,
-0.025083573535084724,
0.001992987236008048,
-0.020828556269407272,
-0.03277885168790817,
-0.02926105447113514,
-0.08284183591604233,
0.02646641805768013,
0.0707290768623352,
0.06482803821563721,
0.044599760323762894,
0.0063854786567389965,
0.011766339652240276,
0.010444127954542637,
0.00883574690669775,
-0.017046762630343437,
0.025347381830215454,
-0.02291041798889637,
-0.06591378897428513,
0.0468631274998188,
0.04765063524246216,
-0.04639001190662384,
0.026475658640265465,
-0.02156793884932995,
-0.057994402945041656,
0.06234854459762573,
-0.00023749080719426274,
-0.020400065928697586,
-0.014905774965882301,
0.057913847267627716,
-0.013591653667390347,
0.038271937519311905,
0.01663838140666485,
-0.07977345585823059,
0.023489361628890038,
-0.019417226314544678,
0.013584618456661701,
-0.023470217362046242,
-0.0220126174390316,
0.06924623996019363,
-0.03677205368876457,
0.013526882976293564,
0.0057489629834890366,
-0.04806751757860184,
-0.012840391136705875,
0.034990258514881134,
-0.01612897589802742,
0.0619242824614048,
0.026569977402687073,
0.011445172131061554,
0.016170892864465714,
-0.014785011298954487,
0.05521805211901665,
0.047729186713695526,
-0.0187052171677351,
0.03143060952425003,
-0.027396652847528458,
-0.040547844022512436,
0.050175707787275314,
0.021700197830796242,
-0.07769231498241425,
-0.04055551066994667,
0.008459801785647869,
-0.025040248408913612,
-0.004603125620633364,
-0.002234728541225195,
-0.0006374268559738994,
0.017729762941598892,
0.006513029336929321,
-0.012037974782288074,
0.0053369696252048016,
0.005410239100456238,
-0.049217093735933304,
0.03323826193809509,
0.033124495297670364,
-0.00747674098238349,
0.006813717074692249,
-0.012668176554143429,
0.10197024047374725,
0.07339120656251907,
-0.04719549044966698,
-0.015375032089650631,
0.027067044749855995,
0.002711817855015397,
-0.0091157341375947,
0.019580459222197533,
-0.02628077194094658,
-0.01615230180323124,
-0.011378058232367039,
0.021791506558656693,
-0.04457073286175728,
0.05440451204776764,
-0.03635437414050102,
-0.012044665403664112,
0.06412017345428467,
-0.024596689268946648,
0.05731497332453728,
0.017935143783688545,
0.018680252134799957,
0.026332173496484756,
-0.0005052897031418979,
-0.013388087972998619,
-0.007492933422327042,
-0.034913863986730576,
0.0197730902582407,
-0.019968515262007713,
-0.023545769974589348,
-0.014132912270724773,
-0.06298298388719559,
-0.020458603277802467,
-0.017937270924448967,
0.07830435037612915,
0.0554332360625267,
0.014601917006075382,
0.020017903298139572,
-0.009916968643665314,
-0.052979134023189545,
-0.00710023520514369,
-0.11442714929580688,
-0.057059600949287415,
0.011476649902760983,
0.06651042401790619,
-0.0018678078195080161,
0.029834207147359848,
-0.010424217209219933,
0.024939944967627525,
-0.015500098466873169,
-0.04258102923631668,
0.024263067170977592,
-0.02242382802069187,
0.01168368011713028,
-0.032002534717321396,
-0.016671666875481606,
-0.0035704788751900196,
0.06461485475301743,
-0.006347547750920057,
0.004088447894901037,
-0.02063150517642498,
-0.03038901649415493,
-0.007954087108373642,
-0.046362075954675674,
-0.009998047724366188,
0.028053205460309982,
0.03303702175617218,
0.011624038219451904,
-0.042088404297828674,
0.021978378295898438,
0.04555392637848854,
0.05590340495109558,
0.05537300929427147,
0.008673611097037792,
0.015449859201908112,
-0.0021102670580148697,
-0.011288827285170555,
0.036610741168260574,
-0.028081119060516357,
0.012821835465729237,
-0.013610316440463066,
0.003725145012140274,
0.043557170778512955,
0.0015791169134899974,
-0.2721695303916931,
-0.014807989820837975,
-0.00662218127399683,
-0.001983571331948042,
0.03723406791687012,
-0.028904641047120094,
0.040724266320466995,
-0.023928746581077576,
-0.016461798921227455,
0.017103254795074463,
0.019345995038747787,
0.02919313684105873,
0.018002105876803398,
0.05903858691453934,
0.04499431699514389,
0.0035243507008999586,
0.022802582010626793,
-0.04264070466160774,
-0.006920733489096165,
0.04092315211892128,
-0.014180624857544899,
-0.08595871180295944,
0.0010003694333136082,
0.06142332777380943,
0.0002727889805100858,
0.07551926374435425,
-0.0877583771944046,
-0.011337623931467533,
-0.04359949007630348,
-0.024333786219358444,
-0.06353641301393509,
-0.027076072990894318,
-0.05539107322692871,
0.02354041486978531,
0.02602732926607132,
0.011944283731281757,
0.034429386258125305,
-0.01764148473739624,
0.009545811451971531,
0.020775550976395607,
0.014784565195441246,
-0.0069793350994586945,
-0.007145233917981386,
0.03653678297996521,
0.0618378147482872,
0.02277890406548977,
-0.06507918238639832,
-0.03499351069331169,
-0.023834917694330215,
0.023045722395181656,
-0.049190130084753036,
-0.023167802020907402,
0.0016841879114508629,
-0.004792532417923212,
-0.03210039809346199,
-0.02499762922525406,
-0.01196273136883974,
-0.013691063039004803,
-0.05100186914205551,
0.006634191609919071,
-0.008479073643684387,
-0.0557364895939827,
-0.006887884810566902,
-0.029763951897621155,
-0.004660508595407009,
-0.014410988427698612,
-0.06964489072561264,
-0.05018039047718048,
0.039653230458498,
0.0427856408059597,
0.006141710095107555,
0.008773243054747581,
-0.058451808989048004,
-0.0903012752532959,
0.0035381584893912077,
0.005273596849292517,
-0.006781484000384808,
-0.044904887676239014,
0.025859694927930832,
0.05543917044997215,
-0.0304197259247303,
-0.05840172991156578,
0.010251529514789581,
0.05285429209470749,
0.033559445291757584,
-0.015599644742906094,
0.02304193563759327,
-0.00327978259883821,
-0.023761536926031113,
0.003305454272776842,
0.031829383224248886,
0.03436150401830673,
0.03769145905971527,
-0.005733509082347155,
0.0682859942317009,
0.040228746831417084,
0.04512982442975044,
0.053498972207307816,
0.04568963125348091,
0.016603808850049973,
0.011876474134624004,
-0.07232683151960373,
-0.0031535252928733826,
-0.034328021109104156,
-0.048211440443992615,
-0.0007975674816407263,
-0.05460415780544281,
-0.0049288892187178135,
0.03501381725072861,
-0.0018684209790080786,
-0.03325464576482773,
-0.03570761904120445,
0.009549682959914207,
-0.02386944182217121,
-0.011331513524055481,
-0.01726509816944599,
-0.0035639426205307245,
0.02428506501019001,
0.015711499378085136,
-0.01771884597837925,
0.009468660689890385,
0.04133570194244385,
-0.02397201582789421,
0.020176563411951065,
-0.010194971226155758,
-0.02757055126130581,
0.0018027930054813623,
-0.013857828453183174,
-0.011632014997303486,
-0.012075621634721756,
0.011623119935393333,
0.06432089954614639,
-0.010788983665406704,
0.03968443349003792,
0.055055223405361176,
0.03376968950033188,
-0.026824206113815308,
-0.024365900084376335,
0.024953942745923996,
-0.01069654431194067,
0.03695518150925636,
-0.01398893166333437,
0.04661577194929123,
0.04350701719522476,
0.019752023741602898,
0.02678675763309002,
0.018500901758670807,
-0.019756486639380455,
-0.003986276686191559,
0.013407341204583645,
0.01725010946393013,
-0.05705590173602104,
0.014078046195209026,
-0.016814757138490677,
0.014573592692613602,
-0.0029511761385947466,
0.04201387241482735,
-0.02496282197535038,
0.03665507957339287,
-0.04905732348561287,
0.039127085357904434,
0.026354270055890083,
-0.012080172076821327,
-0.026424134150147438,
-0.001550856395624578,
0.0732879564166069,
-0.025844579562544823,
-0.006165098864585161,
-0.016963278874754906,
0.03475011885166168,
0.00171938247513026,
-0.010663200169801712,
-0.028104089200496674,
-0.0037970098201185465,
-0.026399126276373863,
-0.015371816232800484,
0.029880162328481674,
-0.004770171828567982,
-0.02918977476656437,
0.007622683420777321,
0.0015598408645018935,
-0.0472320131957531,
-0.02620432898402214,
-0.006589149124920368,
0.07461805641651154,
-0.002532021841034293,
0.020832940936088562,
0.0005909494357183576,
-0.03992009162902832,
0.031675782054662704,
-0.0009008740307763219,
0.004269482102245092,
-0.024121519178152084,
-0.02974018082022667,
-0.04688877612352371,
-0.030140090733766556,
-0.020156925544142723,
0.05414178594946861,
0.012143988162279129,
-0.005089353304356337,
0.02477887272834778,
-0.01167165394872427,
-0.052323631942272186,
0.018002266064286232,
0.03657480701804161,
-0.0765325203537941,
-0.015800248831510544,
0.058999866247177124,
-0.0018519089790061116,
0.01685974933207035,
-0.028430527076125145,
-0.051220331341028214,
-0.05917792022228241,
-0.02888869307935238,
0.03064372017979622,
0.0039155143313109875,
-0.015013264492154121,
-0.02945232391357422,
0.003710067132487893,
-0.007472398225218058,
0.018886419013142586,
0.01586466282606125,
0.02109200321137905,
-0.035935062915086746,
0.017168838530778885,
0.039418306201696396,
-0.016565507277846336,
0.0005086997989565134,
0.00761626660823822,
-0.004984626546502113,
0.009426703676581383,
-0.059379108250141144,
0.010314767248928547,
0.02588319592177868,
-0.003748299553990364,
-0.019426273182034492,
-0.04142748937010765,
0.04755445197224617,
-0.021771613508462906,
0.005428643431514502,
-0.01093868538737297,
-0.006221269257366657,
-0.04234365001320839,
-0.00798373855650425,
-0.017855193465948105,
0.014899599365890026,
0.023813188076019287,
0.01710563525557518,
0.017360417172312737,
0.01756715588271618,
0.022961843758821487,
0.012111317366361618,
-0.05665230378508568,
0.005825917702168226,
0.06503424793481827,
-0.024778766557574272,
-0.016099270433187485,
-0.06309501826763153,
-0.016279475763440132,
0.006556459702551365,
-0.02481973171234131,
0.029687359929084778,
-0.006804696749895811,
0.03754671290516853,
0.019599664956331253,
0.043788980692625046,
-0.0053360373713076115,
-0.011955014429986477,
0.028514361009001732,
-0.06383748352527618,
0.021716129034757614,
-0.06341855227947235,
-0.009797397069633007,
0.08208029717206955,
-0.06423310935497284,
-0.0011807064292952418,
-0.00432919105514884,
-0.04232782870531082,
0.021748989820480347,
-0.012658008374273777,
-0.045215003192424774,
0.02886795438826084,
-0.00932233314961195,
0.016958655789494514,
0.0051021091639995575,
-0.03767777606844902,
-0.014409797266125679,
0.007237149868160486,
-0.0431172251701355,
0.005934737157076597,
-0.016851481050252914,
0.0413009375333786,
-0.012916618026793003,
0.0059269326739013195,
-0.0077437832951545715,
0.013485689647495747,
-0.001726693706586957,
0.05169546604156494,
0.020858317613601685,
0.008644862100481987,
-0.041941992938518524,
0.08853912353515625,
0.04829210788011551,
0.03049134649336338,
-0.039053067564964294,
0.048447269946336746,
-0.02777903899550438,
-0.05137768015265465,
0.028046226128935814,
-0.03474552184343338,
-0.027182774618268013,
-0.07286684960126877,
0.06563485413789749,
-0.006693478208035231,
-0.04081892594695091,
-0.030513562262058258,
0.024440716952085495,
-0.06387881189584732,
-0.008867859840393066,
0.001634796499274671,
-0.015182136557996273,
-0.022304998710751534,
0.06521353125572205,
0.045420147478580475,
0.04252515360713005,
0.08627190440893173,
0.01269435416907072,
-0.00740754185244441,
-0.02215818129479885,
0.0568249449133873,
0.02935268171131611,
0.049555789679288864,
0.012705118395388126,
0.06605483591556549,
-0.04328513145446777,
-0.029518287628889084,
0.02435050904750824,
0.002908840076997876,
-0.017888052389025688,
-0.023084623739123344,
0.03012549877166748,
0.061019167304039,
-0.014669349417090416,
0.06581825762987137,
-0.04816826060414314,
0.014030421152710915,
0.06808525323867798,
0.004141025245189667,
-0.008908875286579132,
0.07240617275238037,
0.013484618626534939,
0.016684267669916153,
-0.01781264692544937,
0.010248915292322636,
-0.006500743329524994,
-0.025773975998163223,
0.01540433056652546,
-0.017988232895731926,
-0.040632035583257675,
0.025009803473949432,
-0.02666044980287552,
0.07854948937892914,
0.12972132861614227,
-0.03301822394132614,
-0.03925931081175804,
0.03853784501552582,
0.04967624321579933,
0.018148159608244896,
0.034986712038517,
-0.0024486430920660496,
-0.018492620438337326,
-0.006385423243045807,
-0.05307589843869209,
0.046414971351623535,
0.01228191889822483,
-0.006629594136029482,
0.033469926565885544,
-0.018297800794243813,
-0.07413177937269211,
-0.0056846896186470985,
0.053377456963062286,
-0.024173816666007042,
-0.03078985959291458,
-0.010443328879773617,
-0.02604568935930729,
-0.06548016518354416,
-0.06449207663536072,
-0.01668032817542553,
-0.008064269088208675,
-0.024535881355404854,
-0.009795229882001877,
-0.0038808879908174276,
0.01854017563164234,
0.011434949934482574,
-0.04599218815565109,
0.029345327988266945,
0.04618110880255699,
0.014186153188347816,
-0.014711696654558182,
0.02391429990530014,
0.013678763061761856,
-0.0011049240129068494,
-0.009697740897536278,
0.03761429712176323,
-0.02558487467467785,
0.0054718260653316975,
0.006194333080202341,
0.006483844481408596,
-0.1027284786105156,
0.009106500074267387,
-0.00942327082157135,
-0.03772349655628204,
-0.0721462219953537,
0.016698701307177544,
-0.04062831029295921,
0.030278895050287247,
0.06350046396255493,
0.008775339461863041,
0.0034052773844450712,
-0.0337810255587101,
-0.005605268757790327,
-0.005499737337231636,
0.009533492848277092,
0.06280402094125748,
-0.03855612874031067,
0.047804344445466995,
0.027133282274007797,
-0.021853135898709297,
-0.03891666606068611,
0.007002874277532101,
-0.01307838037610054,
-0.01292953360825777,
-0.019067449495196342,
-0.04721562936902046,
-0.0028959051705896854,
-0.105099618434906,
-0.01240841019898653,
0.018035748973488808,
0.0005926338490098715,
-0.03750054910778999,
-0.0012562060728669167,
0.0016362618189305067,
-0.017307277768850327,
0.026207681745290756,
-0.0053238351829349995,
-0.013371012173593044,
-0.033274780958890915,
-0.04978574067354202,
-0.06231354922056198,
0.0006161017809063196,
-0.04041356220841408,
0.03197762370109558,
-0.026949360966682434,
-0.04374160245060921,
-0.033249806612730026,
0.007173056714236736,
0.0385284461081028,
0.012221998535096645,
0.006944866385310888,
-0.005748548544943333
] | null |
590 |
Reinforce LLM Reasoning through Multi-Agent Reflection
|
https://openreview.net/forum?id=6k3oFS3Lbl
|
[
"Yurun Yuan",
"Tengyang Xie"
] |
Poster
|
Leveraging more test-time computation has proven to be an effective way to boost the reasoning capabilities of large language models (LLMs). Among various methods, the verify-and-improve paradigm stands out for enabling dynamic solution exploration and feedback incorporation. However, existing approaches often suffer from restricted feedback spaces and lack of coordinated training of different parties, leading to suboptimal performance. To address this, we model this multi-turn refinement process as a Markov Decision Process and introduce DPSDP (**D**irect **P**olicy **S**earch by **D**ynamic **P**rogramming), a reinforcement learning algorithm that trains an actor-critic LLM system to iteratively refine answers via direct preference learning on self-generated data. Theoretically, DPSDP can match the performance of any policy within the training distribution. Empirically, we instantiate DPSDP with various base models and show improvements on both in- and out-of-distribution benchmarks. For example, on benchmark MATH 500, majority voting over five refinement steps increases first-turn accuracy from 58.2% to 63.2% with Ministral-based models. An ablation study further confirms the benefits of multi-agent collaboration and out-of-distribution generalization.
|
Post-training, LLM-based multi-agents, Reinforcement learning, Mathematical reasoning
|
This paper introduces DPSDP, a reinforcement learning algorithm that trains an actor-critic LLM system to iteratively refine answers via direct preference learning on self-generated data.
| 12,870 |
2506.08379
|
[
-0.03785626217722893,
-0.01793290302157402,
-0.007079535163938999,
0.05615833401679993,
0.04837017133831978,
0.03173435851931572,
0.023922506719827652,
0.0002524636802263558,
-0.030826222151517868,
-0.00728642288595438,
-0.002915688557550311,
0.04227933660149574,
-0.06789068877696991,
-0.01982230134308338,
0.02267751470208168,
0.05116254463791847,
0.02249922603368759,
-0.010496603325009346,
0.006918732076883316,
0.023647751659154892,
0.0034612170420587063,
0.0037201938685029745,
0.036165814846754074,
0.020568788051605225,
0.034822769463062286,
0.021769586950540543,
0.04133845120668411,
0.010981542989611626,
-0.024452922865748405,
-0.011262069456279278,
0.025501206517219543,
-0.03632350265979767,
0.028639568015933037,
0.0016418007435277104,
-0.01477582287043333,
0.022346604615449905,
-0.02810029685497284,
0.03436858952045441,
0.0017385098617523909,
0.01944507099688053,
-0.04865308478474617,
0.03396807610988617,
-0.013422111980617046,
-0.011107089929282665,
-0.050364382565021515,
0.007557375822216272,
-0.09557313472032547,
0.016329454258084297,
0.041674088686704636,
-0.04984274506568909,
-0.11235616356134415,
0.023705316707491875,
-0.013717257417738438,
-0.02030806615948677,
-0.024449268355965614,
0.021335290744900703,
0.04775858297944069,
-0.11297796666622162,
-0.0021310742013156414,
-0.023778816685080528,
-0.05450030043721199,
0.022282449528574944,
0.03224251791834831,
-0.0007523897802457213,
-0.0018719538347795606,
-0.009634306654334068,
0.03035069815814495,
0.03373083099722862,
-0.050856057554483414,
-0.030861863866448402,
-0.041551146656274796,
0.00731095764786005,
-0.0377994179725647,
-0.010588875971734524,
0.017743417993187904,
-0.03604358807206154,
0.003149616764858365,
0.036517929285764694,
0.03603590279817581,
-0.009843478910624981,
-0.018023191019892693,
0.05396587401628494,
0.01538873091340065,
0.05989393964409828,
0.03521730750799179,
0.016737166792154312,
-0.00984000414609909,
-0.025142746046185493,
-0.08137652277946472,
0.023804696276783943,
-0.0036301836371421814,
-0.06583160907030106,
0.014621253125369549,
0.035154711455106735,
0.050170086324214935,
0.012275898829102516,
0.003891842206940055,
0.054379016160964966,
0.014461500570178032,
-0.002934093354269862,
-0.010756948962807655,
-0.04468764364719391,
0.023554494604468346,
-0.009631309658288956,
-0.11505846679210663,
-0.007378248032182455,
-0.0103304423391819,
-0.024352293461561203,
-0.03216736391186714,
0.01857794262468815,
-0.029261920601129532,
-0.012369117699563503,
0.008174611255526543,
-0.014684156514704227,
-0.09509830176830292,
0.031322479248046875,
0.010387808084487915,
0.03610346466302872,
-0.007135189604014158,
0.022551149129867554,
0.041487861424684525,
0.03123142570257187,
0.035437118262052536,
0.07290787994861603,
-0.035230424255132675,
0.03268451243638992,
-0.007165172602981329,
0.027175799012184143,
-0.02818533219397068,
-0.04303491860628128,
0.01848013699054718,
0.028503336012363434,
-0.012206475250422955,
0.008228597231209278,
-0.019268369302153587,
-0.00071384955663234,
0.008713162504136562,
0.01905008591711521,
0.04775384068489075,
-0.008943223394453526,
-0.018673015758395195,
0.01550704799592495,
0.10383889079093933,
-0.025987204164266586,
0.06360403448343277,
0.012519569136202335,
-0.0008499599061906338,
-0.016735419631004333,
-0.06699564307928085,
-0.026726795360445976,
0.006048073060810566,
0.0041266134940087795,
-0.013263003900647163,
-0.04908473789691925,
0.02776380069553852,
0.06333566457033157,
0.0373053140938282,
-0.0013790772063657641,
-0.008894920349121094,
0.021753152832388878,
-0.0031255411449819803,
0.008863196708261967,
-0.05485745146870613,
-0.000179162118001841,
-0.006055460311472416,
-0.06578301638364792,
0.012559457682073116,
-0.01050497218966484,
-0.02203284576535225,
0.007203205954283476,
-0.028206702321767807,
0.012041050009429455,
0.04169302433729172,
-0.04035051167011261,
-0.005153020843863487,
-0.02440793253481388,
0.06047845631837845,
-0.006458406802266836,
0.04296053200960159,
0.03268037363886833,
-0.0655147060751915,
0.0057593476958572865,
-0.016556259244680405,
-0.004897595848888159,
0.00042266430682502687,
-0.014722003601491451,
0.08213141560554504,
-0.02338995225727558,
0.026043720543384552,
0.022767186164855957,
-0.08447646349668503,
-0.0014005528064444661,
0.04731842502951622,
0.002124522579833865,
0.07217870652675629,
-0.0011203879257664084,
-0.006362058222293854,
0.03134354203939438,
0.029815534129738808,
0.066654272377491,
0.0568300262093544,
-0.013048561289906502,
0.03597503527998924,
0.005015849135816097,
-0.019714824855327606,
0.006092418450862169,
0.036851782351732254,
-0.03530270978808403,
-0.032604292035102844,
0.0288056880235672,
-0.04660351201891899,
0.012929817661643028,
0.01847142167389393,
-0.0025221151299774647,
0.022973399609327316,
-0.016734307631850243,
-0.013996540568768978,
-0.028168117627501488,
0.02890923246741295,
-0.029898563399910927,
0.037264131009578705,
0.010231129825115204,
-0.006981167010962963,
0.00099249929189682,
-0.029427161440253258,
0.09657708555459976,
0.05743579939007759,
-0.03200307860970497,
-0.019337764009833336,
0.02711799368262291,
-0.012508686631917953,
0.009598064236342907,
0.020512593910098076,
-0.044515952467918396,
0.01722920686006546,
-0.0227959007024765,
-0.009067717008292675,
-0.01788262464106083,
0.04480370506644249,
-0.03927375748753548,
-0.007919296622276306,
0.06059088930487633,
-0.013349168002605438,
0.05985592305660248,
-0.024273518472909927,
0.017201855778694153,
0.029183268547058105,
0.01471450924873352,
0.00847023818641901,
-0.007487361319363117,
-0.016710340976715088,
-0.0015220160130411386,
0.01797577552497387,
-0.025084272027015686,
-0.017793333157896996,
-0.05765534192323685,
0.003865050384774804,
-0.02198335900902748,
0.04921475425362587,
0.04333575442433357,
0.0006490320083685219,
0.021643193438649178,
0.00851445086300373,
-0.03280520811676979,
0.011428703553974628,
-0.1205311268568039,
-0.03818405792117119,
0.035475753247737885,
0.009413616731762886,
0.02590220421552658,
0.02722359262406826,
-0.0030983558390289545,
0.03682181239128113,
-0.06302434206008911,
-0.04112755507230759,
0.020635662600398064,
0.010912199504673481,
0.01002381183207035,
-0.02803836576640606,
-0.015309428796172142,
-0.012718475423753262,
0.02652139402925968,
-0.03463472053408623,
-0.027153652161359787,
-0.039093710482120514,
-0.02797897346317768,
0.006138409487903118,
-0.06889087706804276,
0.01598544605076313,
0.017693309113383293,
0.00964402500540018,
-0.005814405158162117,
-0.0270386915653944,
0.014714912511408329,
0.047885712236166,
0.03681613504886627,
0.052786413580179214,
-0.010684484615921974,
-0.009826992638409138,
0.030620349571108818,
-0.0250141229480505,
-0.003305366961285472,
-0.033129915595054626,
0.060575537383556366,
-0.013976626098155975,
-0.019332025200128555,
0.03944823145866394,
0.016813119873404503,
-0.258796751499176,
-0.02958066202700138,
0.0016434186836704612,
-0.006990355439484119,
0.043102290481328964,
-0.02416548877954483,
0.10719245672225952,
-0.049625955522060394,
-0.051201753318309784,
-0.00319693679921329,
0.00458635576069355,
0.005034015979617834,
0.017396360635757446,
0.04716194048523903,
0.07022091746330261,
0.039975788444280624,
0.0005553859518840909,
-0.003928494639694691,
0.010180964134633541,
0.022521091625094414,
-0.004644560161978006,
-0.08291396498680115,
-0.010973822325468063,
0.05167481675744057,
0.0037942652124911547,
0.059277575463056564,
-0.05845241621136665,
-0.015150501392781734,
-0.035097673535346985,
-0.021346772089600563,
-0.03580434247851372,
0.018331265076994896,
-0.03255277872085571,
0.028541548177599907,
-0.0017072936752811074,
0.011020277626812458,
0.04893051087856293,
0.0024713315069675446,
0.05183626711368561,
0.020109593868255615,
0.007623287849128246,
-0.028847845271229744,
-0.013184275478124619,
0.0030647111125290394,
0.042794130742549896,
0.04509298503398895,
-0.08025309443473816,
-0.030719291418790817,
-0.01977192610502243,
0.043807800859212875,
0.0015015231911092997,
-0.029273713007569313,
0.003496594727039337,
-0.013562949374318123,
0.020862411707639694,
-0.032935984432697296,
-0.005886849481612444,
-0.04804137721657753,
-0.028250647708773613,
-0.003523055464029312,
0.015237069688737392,
-0.02028403803706169,
-0.02988596074283123,
-0.007064951583743095,
-0.003474282333627343,
-0.028866730630397797,
-0.05499817058444023,
-0.055941320955753326,
0.045617587864398956,
0.04416700080037117,
-0.014901899732649326,
-0.016738489270210266,
-0.016547663137316704,
-0.0929756686091423,
-0.016113124787807465,
-0.0038402273785322905,
-0.0014465150889009237,
-0.059587664902210236,
0.005930271930992603,
0.04074837639927864,
-0.04407679662108421,
-0.018898507580161095,
-0.002927572699263692,
-0.007962197065353394,
0.033659134060144424,
0.0022362403105944395,
0.024290738627314568,
-0.053112830966711044,
-0.03088197484612465,
-0.03691553696990013,
0.035748954862356186,
0.020831124857068062,
0.010462663136422634,
0.017150694504380226,
0.07497930526733398,
0.019062837585806847,
0.029745707288384438,
0.06685849279165268,
0.014597579836845398,
-0.005388043820858002,
0.005911263637244701,
-0.06151733547449112,
0.02242058515548706,
-0.035496458411216736,
-0.02789989300072193,
-0.00958616379648447,
-0.060286086052656174,
-0.011360778473317623,
0.013446404598653316,
-0.007264040410518646,
-0.03612640127539635,
-0.014176691882312298,
0.009728968143463135,
0.018635587766766548,
-0.024184729903936386,
-0.012095130048692226,
-0.009630586951971054,
0.05396432429552078,
0.005482434295117855,
-0.026927273720502853,
-0.045001547783613205,
0.040805455297231674,
-0.05119640380144119,
0.02526838146150112,
-0.0017519250977784395,
-0.008987268432974815,
0.014149760827422142,
-0.012268176302313805,
0.02054106630384922,
0.004381475504487753,
0.01906573213636875,
0.006318640895187855,
-0.006121658254414797,
0.0022887035738676786,
0.05085171386599541,
0.0006723540718667209,
-0.008484868332743645,
-0.01279499288648367,
0.028042452409863472,
0.019661422818899155,
0.00969762448221445,
-0.023131897673010826,
0.03942203149199486,
0.015371179208159447,
0.039814166724681854,
-0.0038686213083565235,
0.019930347800254822,
0.013028973713517189,
0.008098630234599113,
0.01045240554958582,
0.05623750761151314,
-0.051681119948625565,
0.040396202355623245,
-0.006666422355920076,
0.025997500866651535,
-0.04558663070201874,
0.01745854690670967,
-0.013964547775685787,
0.040651772171258926,
-0.08000867813825607,
0.02678193524479866,
-0.003408708842471242,
-0.005389518570154905,
0.020271947607398033,
0.039541516453027725,
0.04915280640125275,
-0.04690970480442047,
0.0035592722706496716,
0.0012839700793847442,
-0.00418113125488162,
0.008391428738832474,
-0.05308249220252037,
-0.04460944980382919,
0.014264525845646858,
-0.01938931830227375,
0.00675733620300889,
0.04215693473815918,
-0.030868470668792725,
-0.05114028602838516,
0.031735196709632874,
-0.013465233147144318,
-0.06128093600273132,
-0.019009701907634735,
-0.006600833963602781,
0.08201958239078522,
-0.007866844534873962,
0.023302121087908745,
-0.012002741917967796,
-0.03967075049877167,
0.005042451433837414,
0.0188690684735775,
0.014282590709626675,
0.0035562939010560513,
-0.021353552117943764,
-0.06576524674892426,
-0.045886844396591187,
0.003953471314162016,
0.03601532801985741,
0.006657626945525408,
-0.011821592226624489,
-0.028629276901483536,
0.002835428575053811,
-0.05840080976486206,
-0.004731794353574514,
0.04027283936738968,
-0.07877043634653091,
-0.009581047110259533,
0.019941873848438263,
0.02909906953573227,
0.03856932371854782,
-0.04847218841314316,
-0.042521148920059204,
-0.04993573948740959,
-0.009562783874571323,
0.004057377576828003,
-0.015928203240036964,
-0.011703882366418839,
-0.018014496192336082,
-0.0018611208070069551,
0.016557961702346802,
0.018515771254897118,
-0.0398687906563282,
-0.009324473328888416,
-0.012497421354055405,
-0.002256845124065876,
0.0512709766626358,
-0.06535590440034866,
-0.018394561484456062,
0.03189973905682564,
-0.047644998878240585,
0.04547417536377907,
-0.05621204525232315,
0.009939370676875114,
0.024590838700532913,
0.015807561576366425,
0.006868154741823673,
-0.05785636603832245,
0.0487506277859211,
-0.018883947283029556,
-0.04046420753002167,
-0.02868691273033619,
-0.022907763719558716,
-0.0040279170498251915,
-0.011718611232936382,
-0.019063185900449753,
0.032446786761283875,
0.016894632950425148,
-0.006684619002044201,
0.0038405470550060272,
0.022743407636880875,
0.011005155742168427,
0.028004074469208717,
-0.030246004462242126,
-0.0008222417673096061,
0.047668278217315674,
-0.01428958959877491,
-0.026025334373116493,
-0.056156571954488754,
-0.03557271137833595,
0.011309619061648846,
-0.04450413957238197,
0.021769510582089424,
-0.04683857783675194,
0.03142283111810684,
0.001855165115557611,
0.011618351563811302,
0.03316006436944008,
-0.03254334628582001,
0.01361194159835577,
-0.04420898109674454,
-0.01581590436398983,
-0.06524709612131119,
0.010136101394891739,
0.053629737347364426,
-0.016900472342967987,
-0.00048413369222544134,
0.006692929659038782,
-0.057699184864759445,
0.05688505247235298,
-0.001688347663730383,
-0.03098381869494915,
0.029734453186392784,
0.0061814752407372,
-0.02411826327443123,
0.06330778449773788,
-0.040200408548116684,
-0.04785187914967537,
-0.030059777200222015,
-0.037141259759664536,
0.011210824362933636,
-0.0024100402370095253,
0.032398637384176254,
-0.007769124582409859,
0.025748565793037415,
-0.037529606372117996,
0.03121217153966427,
-0.003304391400888562,
0.04285985603928566,
0.028321504592895508,
0.02835233137011528,
-0.013314024545252323,
0.058763518929481506,
0.05347136780619621,
0.04392741620540619,
-0.014142898842692375,
0.014627950266003609,
-0.03628769516944885,
-0.049784429371356964,
0.09254779666662216,
-0.008896194398403168,
-0.012630670331418514,
-0.05007484182715416,
0.0513862706720829,
0.022421738132834435,
-0.038832779973745346,
-0.0036755697801709175,
0.02889203280210495,
-0.07864336669445038,
-0.022603733465075493,
-0.011771949008107185,
0.022748300805687904,
0.012594892643392086,
0.07703979313373566,
0.02777058072388172,
0.05996374785900116,
0.05601509287953377,
0.026851166039705276,
-0.0321572981774807,
-0.0075950222089886665,
0.060448117554187775,
0.061431657522916794,
0.05120237544178963,
0.005157839972525835,
0.05861536040902138,
-0.05716932192444801,
-0.04763871431350708,
0.03809233754873276,
0.02346363663673401,
-0.023778371512889862,
-0.049878206104040146,
0.026459092274308205,
0.05621487647294998,
0.003926596138626337,
0.05795402079820633,
-0.022666824981570244,
-0.02469596639275551,
0.04916459694504738,
0.004501962102949619,
0.01785295456647873,
0.055176906287670135,
0.034926723688840866,
0.003436635946854949,
-0.022436190396547318,
-0.01982792094349861,
0.04511252045631409,
-0.04823974519968033,
-0.00020561738347169012,
-0.010672376491129398,
-0.03009048104286194,
0.013726391829550266,
-0.0008168366621248424,
0.05073646083474159,
0.11340521275997162,
-0.02936350367963314,
-0.04046744108200073,
0.01114421896636486,
-0.0012149286922067404,
0.019536614418029785,
0.014239955693483353,
0.021952573210000992,
-0.01936810463666916,
0.01586913876235485,
-0.01581691950559616,
0.01393076404929161,
0.03421096131205559,
-0.016031108796596527,
0.028220754116773605,
-0.036390211433172226,
-0.03033471293747425,
0.02285149320960045,
0.031625907868146896,
-0.044630225747823715,
-0.05534382537007332,
-0.0115607138723135,
-0.042469099164009094,
-0.01638364978134632,
-0.03905508667230606,
0.018558742478489876,
-0.007181253749877214,
-0.03926002234220505,
0.02527971938252449,
-0.041576121002435684,
-0.007193985860794783,
-0.0011466233991086483,
-0.04573718085885048,
-0.003012628760188818,
0.03539515286684036,
0.0035580096300691366,
0.010805092751979828,
0.034436389803886414,
0.01552851963788271,
-0.006164481397718191,
0.00899005588144064,
0.005763947498053312,
0.02600419521331787,
-0.0014438577927649021,
-0.022134048864245415,
0.004041376523673534,
-0.10447763651609421,
0.0029590686317533255,
0.01645309291779995,
-0.02647104673087597,
-0.07170397788286209,
0.017190618440508842,
-0.049571771174669266,
0.0397518128156662,
0.07807987928390503,
0.05642203986644745,
0.039754293859004974,
-0.019563091918826103,
0.02074495144188404,
0.02192266844213009,
0.01153359841555357,
0.028231646865606308,
-0.024549907073378563,
0.044541653245687485,
0.027862487360835075,
-0.040669750422239304,
-0.06497535109519958,
0.037053562700748444,
0.014586411416530609,
-0.06090546399354935,
-0.021589022129774094,
-0.03830033913254738,
0.018391786143183708,
-0.08556477725505829,
-0.027914203703403473,
0.018262848258018494,
-0.016193335875868797,
-0.0537128746509552,
0.0035637477412819862,
-0.023353395983576775,
-0.03225165978074074,
-0.0017575117526575923,
-0.046668704599142075,
-0.008278200402855873,
-0.022951364517211914,
-0.03026231937110424,
-0.05450379475951195,
-0.019757552072405815,
-0.012168729677796364,
0.012407355010509491,
-0.028870631009340286,
-0.04257259890437126,
-0.01228412240743637,
0.023081213235855103,
0.031360626220703125,
0.012516672722995281,
0.020942579954862595,
-0.0341581329703331
] | null |
591 |
QuEst: Enhancing Estimates of Quantile-Based Distributional Measures Using Model Predictions
|
https://openreview.net/forum?id=JwZVPTTEwO
|
[
"Zhun Deng",
"Thomas P Zollo",
"Benjamin Eyre",
"Amogh Inamdar",
"David Madras",
"Richard Zemel"
] |
Poster
|
As machine learning models grow increasingly competent, their predictions can supplement scarce or expensive data in various important domains. In support of this paradigm, algorithms have emerged to combine a small amount of high-fidelity observed data with a much larger set of imputed model outputs to estimate some quantity of interest. Yet current hybrid-inference tools target only means or single quantiles, limiting their applicability for many critical domains and use cases. We present QuEst, a principled framework to merge observed and imputed data to deliver point estimates and rigorous confidence intervals for a wide family of quantile-based distributional measures. QuEst covers a range of measures, from tail risk (CVaR) to population segments such as quartiles, that are central to fields such as economics, sociology, education, medicine, and more. We extend QuEst to multidimensional metrics, and introduce an additional optimization technique to further reduce variance in this and other hybrid estimators. We demonstrate the utility of our framework through experiments in economic modeling, opinion polling, and language model auto-evaluation.
|
prediction-powered inference, L-statistics, auto-evaluation, distortion risk measures, synthetic data
|
Rigorous method for combining real, observed data with machine learning model predictions to produce better estimates of important distributional risk measures.
| 12,866 |
2507.05220
|
[
0.016096604987978935,
-0.02828698605298996,
-0.03833099082112312,
0.04195299372076988,
0.04624931886792183,
0.023931367322802544,
0.018921727314591408,
-0.006018769461661577,
-0.037381578236818314,
-0.024241946637630463,
-0.0010581501992419362,
0.03677815571427345,
-0.06445181369781494,
-0.024025769904255867,
0.015334329567849636,
0.08172840625047684,
0.0328562892973423,
-0.012801364995539188,
-0.0010650199837982655,
-0.013613916002213955,
-0.02191087044775486,
-0.021719997748732567,
0.034483443945646286,
0.018122823908925056,
0.035342007875442505,
-0.02666812762618065,
0.0884697437286377,
0.022076038643717766,
-0.04575410857796669,
-0.034150030463933945,
0.018414823338389397,
0.025650950148701668,
-0.01892080344259739,
-0.02827075868844986,
-0.029031727463006973,
0.0291020255535841,
-0.004020696971565485,
0.018266847357153893,
-0.0077389320358633995,
0.023042531684041023,
-0.04889519512653351,
0.000717424787580967,
-0.010500354692339897,
0.030032048001885414,
-0.057805273681879044,
-0.01623205654323101,
-0.07657419890165329,
0.027436869218945503,
0.010399872437119484,
0.0016550644068047404,
-0.08979450166225433,
0.04705614596605301,
0.006175927817821503,
-0.04056406393647194,
-0.0015578418970108032,
0.03779883682727814,
0.045372117310762405,
-0.0954926535487175,
-0.02809111773967743,
-0.07602504640817642,
0.005332520697265863,
-0.0028451550751924515,
0.001534471521154046,
-0.007843081839382648,
-0.001000426709651947,
0.007817043922841549,
0.0023053998593240976,
0.029902460053563118,
-0.01952837035059929,
-0.02466266043484211,
-0.04079267382621765,
-0.009146930649876595,
-0.002385422121733427,
-0.02902912348508835,
-0.018096614629030228,
-0.03179806098341942,
-0.010829229839146137,
0.03380512073636055,
0.024361275136470795,
-0.04253176972270012,
0.009927364066243172,
0.0036373452749103308,
0.004471169784665108,
0.045844946056604385,
0.017324911430478096,
-0.006968610920011997,
-0.00733567401766777,
-0.019502580165863037,
-0.06415209919214249,
0.07785620540380478,
0.016002144664525986,
-0.04666101932525635,
0.02055700309574604,
0.02042931318283081,
-0.017989352345466614,
0.0350053533911705,
0.07637105137109756,
-0.00008446758147329092,
0.002108232118189335,
-0.03396936133503914,
-0.031517330557107925,
-0.020831480622291565,
0.03508082032203674,
0.00996420532464981,
-0.10095430165529251,
0.013685758225619793,
0.017818130552768707,
-0.03474150970578194,
-0.028958061710000038,
0.010499125346541405,
-0.03089120239019394,
0.01690610498189926,
0.0063790809363126755,
0.004961612168699503,
-0.08620283007621765,
0.04875924438238144,
0.011394014582037926,
0.024942589923739433,
-0.002717959461733699,
-0.021844644099473953,
0.0010640051914379,
0.023548899218440056,
0.006511534098535776,
0.08223168551921844,
-0.0036031766794621944,
0.011308874934911728,
0.056736063212156296,
-0.018210750073194504,
0.010095959529280663,
0.0055188462138175964,
0.014623082242906094,
0.04885145649313927,
-0.04237682744860649,
0.012728719040751457,
-0.0253602284938097,
-0.027069121599197388,
0.01180637814104557,
-0.0006322074332274497,
0.061532311141490936,
0.02984708920121193,
0.03264385834336281,
-0.030407404527068138,
0.04784655198454857,
-0.019871514290571213,
0.06726453453302383,
-0.019491638988256454,
0.03274501487612724,
-0.03509598970413208,
-0.002416756236925721,
0.020137272775173187,
0.031187204644083977,
0.02016988955438137,
0.00828824657946825,
-0.04181113466620445,
0.017351627349853516,
0.005024144425988197,
0.0301445871591568,
0.014403008855879307,
0.026440758258104324,
-0.001910257968120277,
0.018293363973498344,
0.028651170432567596,
-0.005723266862332821,
-0.008505034260451794,
-0.010621081106364727,
-0.04563739895820618,
0.04766259714961052,
0.004827579017728567,
-0.03909996896982193,
-0.03182467073202133,
-0.04548212140798569,
-0.04925483837723732,
0.06413882970809937,
0.016436154022812843,
-0.012511770240962505,
0.02317211404442787,
0.03897220641374588,
0.02216269075870514,
0.04790167510509491,
0.03590162470936775,
-0.07108043134212494,
0.03411097824573517,
0.027997039258480072,
-0.022675130516290665,
0.023150045424699783,
-0.03289748728275299,
0.08028388023376465,
-0.045763131231069565,
0.010792296379804611,
0.03281376138329506,
-0.08199403434991837,
-0.019818009808659554,
0.033503755927085876,
0.002432557288557291,
0.056671496480703354,
-0.003095779102295637,
-0.008041956461966038,
0.08026289939880371,
0.021019253879785538,
0.031732309609651566,
0.00548866530880332,
-0.046579759567976,
0.045803945511579514,
0.010084967128932476,
-0.050874050706624985,
0.029560476541519165,
0.01885046437382698,
-0.04267408698797226,
-0.010642452165484428,
0.021766066551208496,
-0.05246978998184204,
0.009249507449567318,
-0.013283875770866871,
-0.02942768484354019,
0.017703814432024956,
-0.0016275005182251334,
0.01564365066587925,
-0.0010240906849503517,
-0.0072570922784507275,
-0.03502402827143669,
0.033458162099123,
0.025631196796894073,
-0.0005011691828258336,
0.001316225272603333,
-0.008944883942604065,
0.07486598938703537,
0.08425598591566086,
-0.027215972542762756,
0.02679993398487568,
0.04017987474799156,
-0.010421310551464558,
0.03488185629248619,
0.03726843744516373,
-0.027727659791707993,
0.06475891172885895,
-0.011594658717513084,
0.030040238052606583,
-0.025972604751586914,
0.06291639059782028,
-0.033240094780921936,
0.02775493450462818,
0.06999896466732025,
-0.009580033831298351,
0.07571679353713989,
0.025032559409737587,
0.01642058975994587,
0.019899694249033928,
-0.0038601793348789215,
-0.05345573276281357,
-0.05673721432685852,
-0.041176460683345795,
0.00806008093059063,
0.004774805158376694,
-0.010080165229737759,
0.0028966607060283422,
-0.02451159805059433,
0.022715164348483086,
0.022761346772313118,
0.06931819766759872,
0.02245272882282734,
0.0008673539268784225,
0.012699131853878498,
0.017235703766345978,
-0.02638140693306923,
0.003888111561536789,
-0.08222679793834686,
-0.043034229427576065,
-0.027212468907237053,
0.018884357064962387,
0.004871259443461895,
0.03679750859737396,
-0.012259655632078648,
0.009204638190567493,
-0.0066334581933915615,
-0.01007303036749363,
0.008546202443540096,
0.009346011094748974,
0.015177913010120392,
-0.046402301639318466,
-0.02616838365793228,
0.014999217353761196,
0.086422860622406,
-0.03302234411239624,
-0.022930288687348366,
0.027918631210923195,
-0.05201565846800804,
-0.010962526313960552,
-0.017455585300922394,
0.02166268602013588,
0.026885032653808594,
0.05363868921995163,
0.029310747981071472,
-0.023112934082746506,
-0.002622531959787011,
0.04518989846110344,
0.017200909554958344,
0.03982856124639511,
-0.0042487760074436665,
-0.008157341741025448,
0.03189617395401001,
-0.02465413510799408,
-0.021450862288475037,
0.00028201550594531,
0.02743510529398918,
0.03896614909172058,
0.00016226166917476803,
0.017135420814156532,
-0.014594768173992634,
-0.2722436785697937,
0.015763385221362114,
0.020361918956041336,
0.009162511676549911,
0.017616694793105125,
0.0003079364250879735,
0.06015154719352722,
-0.016619360074400902,
-0.046309277415275574,
0.03312455862760544,
0.042523566633462906,
0.009367763996124268,
-0.042871616780757904,
0.07538647949695587,
0.05744660273194313,
0.04834158346056938,
-0.00920939166098833,
-0.01795012876391411,
0.01993190310895443,
0.012069047428667545,
0.020253822207450867,
-0.07593096047639847,
-0.032108649611473083,
0.028590837493538857,
0.026537161320447922,
0.06630422174930573,
-0.05002155154943466,
0.012073089368641376,
-0.056029096245765686,
-0.008044886402785778,
-0.01759340427815914,
-0.040623508393764496,
-0.012094653211534023,
0.0450894758105278,
0.013181187212467194,
-0.017836526036262512,
0.03868488222360611,
-0.00006218687485670671,
0.0325859859585762,
0.05712376907467842,
-0.0021966604981571436,
0.003921507857739925,
-0.010665548965334892,
-0.044493552297353745,
0.032937146723270416,
0.019331583753228188,
-0.008111022412776947,
-0.006307670380920172,
-0.04396267607808113,
0.01737510971724987,
0.012068778276443481,
-0.04051343351602554,
-0.05177857354283333,
-0.009062330238521099,
-0.041051171720027924,
-0.009221435524523258,
0.00017632407252676785,
0.006719721015542746,
-0.03927631676197052,
0.033924564719200134,
0.009169695898890495,
-0.013250107876956463,
-0.0017184920143336058,
-0.037128906697034836,
-0.050865791738033295,
-0.05583725497126579,
-0.08265596628189087,
-0.05788537487387657,
0.061357636004686356,
0.028051720932126045,
-0.021006297320127487,
-0.03453345224261284,
-0.004386270418763161,
-0.090924471616745,
-0.014947568997740746,
-0.015502623282372952,
-0.0024682004004716873,
0.01640910655260086,
0.006138712167739868,
0.01019256841391325,
-0.021915031597018242,
-0.0689150020480156,
0.02043658122420311,
0.024797527119517326,
0.0139736607670784,
-0.028704402968287468,
-0.05827094987034798,
-0.039342835545539856,
-0.05217009782791138,
-0.06612788885831833,
0.03245862200856209,
-0.049068789929151535,
0.030046526342630386,
0.017051951959729195,
0.060440391302108765,
0.06000697240233421,
0.02321700006723404,
0.029744820669293404,
0.0009620783384889364,
0.03340012580156326,
0.017626391723752022,
-0.08718058466911316,
-0.008669882081449032,
-0.06523851305246353,
-0.06434649229049683,
0.033190950751304626,
-0.04981113225221634,
0.006200181320309639,
0.048133473843336105,
-0.031185057014226913,
-0.023246174678206444,
-0.013010208494961262,
-0.022687062621116638,
0.007465130649507046,
-0.02305307425558567,
-0.024697458371520042,
-0.009451827965676785,
0.010613220743834972,
0.01988709345459938,
-0.008242301642894745,
-0.037289492785930634,
0.013776152394711971,
-0.0428033322095871,
-0.03573303669691086,
-0.049476925283670425,
-0.009374511428177357,
0.016117960214614868,
0.01703326404094696,
0.0014498191885650158,
-0.023838307708501816,
0.02874130941927433,
0.016385098919272423,
-0.019407855346798897,
0.0027653230354189873,
0.05135015398263931,
-0.028569139540195465,
-0.008470045402646065,
-0.001454392564482987,
0.001965008908882737,
-0.02585909143090248,
0.01991523988544941,
-0.04104789346456528,
0.0382050983607769,
0.04835348203778267,
0.004595490638166666,
-0.020066315308213234,
-0.004818181972950697,
0.019687753170728683,
-0.013362557627260685,
0.013831485994160175,
-0.0068993717432022095,
0.008799567818641663,
-0.002961184596642852,
0.014202139340341091,
-0.02142990753054619,
-0.028162967413663864,
0.04168771207332611,
0.001135891187004745,
-0.009110371582210064,
-0.10129965096712112,
0.029610369354486465,
-0.012582861818373203,
-0.018557555973529816,
-0.014493169263005257,
0.028667058795690536,
0.04352860152721405,
-0.016351858153939247,
0.007249448914080858,
-0.0054840040393173695,
0.04388735070824623,
0.026586130261421204,
-0.03458138555288315,
0.00040263711707666516,
-0.02572827786207199,
-0.06686419248580933,
-0.018679890781641006,
0.007379583548754454,
-0.026019379496574402,
-0.06320690363645554,
0.02767132595181465,
0.0072250706143677235,
-0.0357191376388073,
-0.008609368465840816,
0.009656987152993679,
0.0536733977496624,
-0.026362305507063866,
0.005121974740177393,
0.013111690990626812,
-0.03786009922623634,
0.02926068939268589,
-0.005725611932575703,
0.00917092990130186,
-0.004105419851839542,
-0.046516355127096176,
-0.042644184082746506,
-0.04364916309714317,
0.0048137749545276165,
0.004837685264647007,
-0.04382981359958649,
0.010908273980021477,
-0.0038507357239723206,
-0.016063407063484192,
-0.02245047129690647,
0.016847742721438408,
0.014120656996965408,
-0.06883104145526886,
-0.003394539002329111,
0.032385051250457764,
-0.04722430557012558,
0.03742297738790512,
-0.07635851949453354,
-0.03852573037147522,
-0.01732369139790535,
0.007159475702792406,
-0.003146536648273468,
-0.03218934312462807,
-0.008405813947319984,
-0.01906386949121952,
-0.019151663407683372,
-0.013776595704257488,
0.014284501783549786,
-0.01485992781817913,
0.018160389736294746,
-0.03683934360742569,
0.017468390986323357,
0.03680350258946419,
-0.04993078112602234,
-0.04219245910644531,
0.0018758195219561458,
-0.03761955723166466,
0.015011712908744812,
-0.06252826750278473,
-0.022540805861353874,
0.037218693643808365,
-0.00015841625281609595,
0.0543256513774395,
-0.06180715188384056,
0.03511100262403488,
-0.023197976872324944,
-0.029959332197904587,
-0.017588984221220016,
0.0170048326253891,
0.011402028612792492,
-0.0071357665583491325,
-0.0026532309129834175,
0.013578434474766254,
0.03070087917149067,
0.010373192839324474,
0.0266093872487545,
0.04364161565899849,
-0.006643915548920631,
-0.005752017721533775,
-0.05359194427728653,
0.014696303755044937,
0.04063953459262848,
-0.0020082786213606596,
-0.029693853110074997,
-0.06554614752531052,
-0.054159749299287796,
0.02974177524447441,
-0.02846759930253029,
0.01875997893512249,
-0.039322976022958755,
0.042193636298179626,
0.008515473455190659,
0.06646555662155151,
0.0230625718832016,
-0.014741604216396809,
0.05441330000758171,
-0.05452563613653183,
0.013853739015758038,
-0.07577899843454361,
-0.028611306101083755,
0.03723657876253128,
-0.0322730578482151,
0.0010390565730631351,
0.036289282143116,
0.0033903850708156824,
0.044875480234622955,
-0.0242428258061409,
-0.056920021772384644,
0.008516192436218262,
-0.03687460720539093,
-0.014679506421089172,
0.056873057037591934,
-0.044760119169950485,
-0.029828041791915894,
-0.007094144355505705,
-0.012806692160665989,
0.018214937299489975,
0.015699353069067,
0.03287345916032791,
0.010504176840186119,
-0.0011057767551392317,
-0.049534376710653305,
0.04369742423295975,
0.032757095992565155,
0.05562295764684677,
0.009386179968714714,
0.022373074665665627,
-0.0236927829682827,
0.05392720550298691,
0.042302973568439484,
0.04944169893860817,
0.030791422352194786,
-0.0020226608030498028,
-0.027623428031802177,
-0.02857871726155281,
0.03559427708387375,
0.006057376973330975,
0.023355815559625626,
-0.0784246176481247,
0.06455562263727188,
0.022860027849674225,
-0.07624729722738266,
-0.02385738119482994,
-0.00816276203840971,
-0.035966403782367706,
0.03359070420265198,
-0.009513654746115208,
-0.01747075654566288,
0.030991582199931145,
0.07035523653030396,
0.03074798732995987,
0.06333330273628235,
0.05541188269853592,
0.027120066806674004,
0.03107522614300251,
0.02631743811070919,
0.08979005366563797,
0.07580025494098663,
0.06267611682415009,
-0.012756431475281715,
0.04976588487625122,
-0.046591974794864655,
-0.05649281665682793,
-0.023858919739723206,
-0.013437334448099136,
0.018925823271274567,
-0.023223133757710457,
0.03205209597945213,
0.07182710617780685,
0.022690877318382263,
0.04144952818751335,
-0.05119556188583374,
-0.0103496378287673,
0.02224193699657917,
0.011382805183529854,
0.008421093225479126,
0.02998131327331066,
0.002939847996458411,
0.021922778338193893,
-0.04089963436126709,
-0.014609385281801224,
0.014276853762567043,
-0.01945892907679081,
0.0009890056680887938,
0.010431543923914433,
0.013242666609585285,
-0.01254345290362835,
-0.016451196745038033,
-0.008300199173390865,
0.09652789682149887,
-0.05717631056904793,
0.01506172027438879,
0.001866104081273079,
0.006684917490929365,
0.018932977691292763,
0.06826161593198776,
0.007718657609075308,
0.008582090958952904,
-0.029779449105262756,
-0.02120351977646351,
-0.0001298971037613228,
0.05818759277462959,
-0.004783141426742077,
0.009017311967909336,
-0.04635641723871231,
-0.008241645991802216,
0.02540537342429161,
-0.020189275965094566,
-0.045073602348566055,
-0.053193747997283936,
0.01257080864161253,
-0.010602259077131748,
-0.021319027990102768,
-0.02338838018476963,
0.001685934141278267,
-0.014321471564471722,
-0.04539792984724045,
-0.009273442439734936,
-0.009704751893877983,
0.050435565412044525,
0.008344229310750961,
-0.02526888996362686,
-0.004094879608601332,
0.017247356474399567,
-0.0064547001384198666,
0.0035176037345081568,
0.002617964055389166,
0.026130512356758118,
-0.02844357304275036,
-0.005119196139276028,
0.03468957170844078,
0.05188235267996788,
0.009056517854332924,
0.006485932040959597,
0.011106597259640694,
-0.07042203098535538,
-0.012923588044941425,
0.025644512847065926,
0.00530615309253335,
-0.08319183439016342,
0.031229808926582336,
-0.028584375977516174,
-0.00834854505956173,
0.08087200671434402,
0.030472056940197945,
0.00009133585263043642,
-0.04983935505151749,
-0.04611697420477867,
0.0008512435015290976,
0.006905280519276857,
0.009805992245674133,
-0.030692042782902718,
0.05370090901851654,
0.022473223507404327,
-0.061505164951086044,
-0.08177477866411209,
0.04662506654858589,
-0.01608567126095295,
0.0008831004379317164,
-0.02206636220216751,
-0.018559791147708893,
0.007685903925448656,
-0.10082849860191345,
-0.01429142989218235,
-0.001719192718155682,
-0.03368986397981644,
-0.02593587525188923,
0.0018457276746630669,
-0.009227490052580833,
0.02230191044509411,
0.02759525179862976,
-0.00803305022418499,
-0.020964425057172775,
-0.02108459547162056,
-0.027892371639609337,
-0.04984993487596512,
0.03265167400240898,
-0.032840192317962646,
0.01589183695614338,
-0.011621338315308094,
-0.03239234536886215,
-0.005817098543047905,
-0.03504373878240585,
-0.0009949645027518272,
0.04593927413225174,
0.0006438333075493574,
-0.02630847506225109
] | null |
592 |
Generalization Analysis for Controllable Learning
|
https://openreview.net/forum?id=9UN0E5DO5M
|
[
"Yi-Fan Zhang",
"Xiao Zhang",
"Min-Ling Zhang"
] |
Poster
|
Controllability has become a critical issue in trustworthy machine learning, as a controllable learner allows for dynamic model adaptation to task requirements during testing. However, existing research lacks a comprehensive understanding of how to effectively measure and analyze the generalization performance of controllable learning methods. In an attempt to move towards this goal from a generalization perspective, we first establish a unified framework for controllable learning. Then, we develop a novel vector-contraction inequality and derive a tight generalization bound for general controllable learning classes, which is independent of the number of task targets except for logarithmic factors and represents the current best-in-class theoretical result. Furthermore, we derive generalization bounds for two typical controllable learning methods: embedding-based and hypernetwork-based methods. We also upper bound the Rademacher complexities of commonly used control and prediction functions, which serve as modular theoretical components for deriving generalization bounds for specific controllable learning methods in practical applications such as recommender systems. Our theoretical results without strong assumptions provide general theoretical guarantees for controllable learning methods and offer new insights into understanding controllability in machine learning.
|
Controllability, Generalization Analysis
| null | 12,865 | null |
[
-0.035525575280189514,
-0.014180813916027546,
0.003317830618470907,
0.030527960509061813,
0.06582081317901611,
0.0001236505340784788,
0.05744984745979309,
-0.012576390989124775,
-0.013563621789216995,
-0.03362250328063965,
-0.012009834870696068,
0.008697859942913055,
-0.06417323648929596,
-0.016759909689426422,
0.013610479421913624,
0.0569605827331543,
0.04190220311284065,
0.018663136288523674,
-0.008760262280702591,
0.013608877547085285,
-0.03365884721279144,
-0.03254137933254242,
0.03884159028530121,
-0.003319625509902835,
0.04094133898615837,
0.02615514025092125,
0.029880281537771225,
0.004976506344974041,
-0.019047852605581284,
0.01355885062366724,
0.04678516834974289,
0.03535190224647522,
0.013571538962423801,
-0.020692722871899605,
0.010578303597867489,
0.03626056760549545,
-0.005818078760057688,
0.011388194747269154,
0.028855619952082634,
0.0032766445074230433,
-0.05142190307378769,
-0.009858483448624611,
-0.011144008487462997,
0.03196462243795395,
-0.04123403877019882,
0.028616199269890785,
-0.10558688640594482,
0.008048462681472301,
0.030262960121035576,
-0.05414367467164993,
-0.10066917538642883,
0.07560881972312927,
0.002664032392203808,
-0.005590199027210474,
-0.004289824049919844,
0.05437444522976875,
0.033316053450107574,
-0.06080856919288635,
0.00852059293538332,
-0.045880842953920364,
-0.027755247429013252,
0.053867753595113754,
0.0031307998578995466,
0.01591338776051998,
0.0015173195861279964,
0.025121577084064484,
0.011525457724928856,
0.020785000175237656,
-0.03606564924120903,
-0.017847666516900063,
-0.05241828411817551,
-0.022361747920513153,
0.0008398386416956782,
0.02159511297941208,
0.03091437555849552,
-0.058234091848134995,
0.02868909202516079,
-0.0014809307176619768,
0.050689488649368286,
-0.009967305697500706,
0.005306491162627935,
0.017865827307105064,
0.047564852982759476,
0.012025664560496807,
0.007283989805728197,
0.005874727852642536,
-0.051961030811071396,
-0.04052708297967911,
-0.08076484501361847,
0.051606059074401855,
-0.008155864663422108,
-0.04366808384656906,
0.016766978427767754,
0.01594754308462143,
0.005236865486949682,
-0.02850169688463211,
0.038729097694158554,
0.024127133190631866,
0.028057370334863663,
-0.020353777334094048,
-0.028407026082277298,
-0.026952354237437248,
-0.009288511238992214,
-0.019399354234337807,
-0.1132877841591835,
-0.04688136279582977,
-0.01451260969042778,
0.0021435078233480453,
-0.002492009662091732,
0.003240467980504036,
-0.04857703670859337,
0.02404038980603218,
0.019339798018336296,
-0.006913935299962759,
-0.08541038632392883,
0.014534259214997292,
-0.012168290093541145,
0.03994670882821083,
0.004105536732822657,
0.0014096188824623823,
0.02065339870750904,
0.04782485589385033,
0.00039530175854451954,
0.05516871064901352,
-0.007960175164043903,
0.01897893100976944,
0.00588937196880579,
0.03955391049385071,
-0.0381476990878582,
-0.05529845505952835,
0.016592660918831825,
0.03550409525632858,
0.0022934384178370237,
0.016805818304419518,
-0.00932922214269638,
-0.003342084353789687,
-0.023095032200217247,
0.03675038740038872,
0.009203962050378323,
0.028233813121914864,
-0.02142963372170925,
-0.04785550758242607,
0.061520908027887344,
-0.030394652858376503,
0.06042018160223961,
-0.018958888947963715,
0.02406393550336361,
-0.04084105044603348,
-0.050710078328847885,
-0.001521053141914308,
0.00693211006000638,
-0.004903798922896385,
-0.022134628146886826,
-0.06469344347715378,
0.023219352588057518,
0.007061202544718981,
-0.004768712446093559,
0.017642199993133545,
-0.00844505988061428,
0.0009000216377899051,
0.0003119457105640322,
-0.007132526952773333,
-0.03764331340789795,
0.010901066474616528,
0.02762594446539879,
-0.08071969449520111,
0.054505541920661926,
0.050701189786195755,
-0.01886351965367794,
-0.02317032217979431,
-0.053156495094299316,
0.003212026786059141,
0.024354249238967896,
0.0030229873955249786,
-0.026078881695866585,
0.019292129203677177,
0.04809299483895302,
0.004235480912029743,
0.045939814299345016,
-0.0012766508152708411,
-0.06818513572216034,
0.030325623229146004,
0.02811371721327305,
-0.00766449049115181,
0.004227332770824432,
-0.010852180421352386,
0.08553062379360199,
-0.020033497363328934,
0.02483608014881611,
-0.008823292329907417,
-0.04749871417880058,
-0.0013652893248945475,
0.027506038546562195,
-0.02950884960591793,
0.05269724130630493,
0.013318234123289585,
-0.02112426422536373,
0.029939468950033188,
-0.010097638703882694,
0.022133080288767815,
0.05063195154070854,
-0.04935905337333679,
0.02734370343387127,
0.007287943735718727,
-0.022463729605078697,
-0.00792936235666275,
0.012462696060538292,
-0.07515696436166763,
-0.04787959158420563,
0.021518895402550697,
-0.022507762536406517,
0.003963661380112171,
-0.000457943941000849,
-0.00792473554611206,
0.03657136484980583,
0.02710476890206337,
-0.02682511880993843,
0.006143048405647278,
0.04648451879620552,
-0.037698499858379364,
0.02748817577958107,
0.008072647266089916,
-0.026264909654855728,
0.0402519665658474,
-0.010579189285635948,
0.10280676931142807,
0.10731422901153564,
-0.014681079424917698,
-0.010583741590380669,
0.02863965928554535,
0.0022498592734336853,
-0.003991927485913038,
0.002747749211266637,
-0.023117991164326668,
0.0201085414737463,
-0.001474045217037201,
-0.028241369873285294,
-0.03998507931828499,
0.0658719465136528,
-0.04534440115094185,
-0.006520283408463001,
0.08542177081108093,
-0.017003504559397697,
0.07700158655643463,
-0.009358290582895279,
0.017607243731617928,
0.01968318223953247,
0.013960056006908417,
-0.019733557477593422,
-0.011508462950587273,
-0.04907149821519852,
-0.019065380096435547,
0.005827222019433975,
-0.026175253093242645,
0.010521913878619671,
-0.0366319976747036,
0.009073683060705662,
-0.012353820726275444,
0.07812200486660004,
0.08170951902866364,
0.02660934440791607,
0.0156557634472847,
0.00893758237361908,
-0.004502198193222284,
-0.003709177253767848,
-0.10227818787097931,
-0.0703514963388443,
-0.001751371892169118,
0.0469479113817215,
0.03616766631603241,
0.020750589668750763,
-0.05474867671728134,
0.033210162073373795,
-0.00006552526610903442,
-0.04311705008149147,
0.016219014301896095,
0.015877429395914078,
0.013115751557052135,
-0.04627424106001854,
-0.020581845194101334,
0.017816118896007538,
0.08122706413269043,
-0.015097602270543575,
-0.027052108198404312,
-0.044521503150463104,
-0.03172524645924568,
-0.03946222364902496,
-0.03409324213862419,
-0.026600928977131844,
0.0018631094135344028,
-0.016538798809051514,
0.010244241915643215,
-0.018267210572957993,
0.014389491640031338,
0.022834183648228645,
0.05217204988002777,
0.05003426596522331,
0.00922275148332119,
0.008712446317076683,
0.01540299691259861,
-0.010579793713986874,
0.030308926478028297,
-0.008642878383398056,
0.006295667961239815,
-0.002088669454678893,
0.003652287879958749,
0.030965613201260567,
0.006798471324145794,
-0.24931426346302032,
-0.020143937319517136,
0.014976279810070992,
-0.010575073771178722,
0.022335758432745934,
-0.0018445003079250455,
0.029366623610258102,
-0.031231455504894257,
-0.038389284163713455,
0.012830632738769054,
0.03218645974993706,
0.02749817632138729,
0.0234796442091465,
0.08223873376846313,
0.04230155795812607,
-0.004477849695831537,
0.013003594242036343,
-0.02791796624660492,
0.012867243960499763,
0.013608400709927082,
-0.05061750113964081,
-0.07280730456113815,
-0.025503579527139664,
0.00520911393687129,
-0.008819237351417542,
0.04311008378863335,
-0.06012578681111336,
-0.0018527950160205364,
-0.06079018861055374,
-0.006728083360940218,
-0.027384910732507706,
-0.019577234983444214,
-0.044058434665203094,
0.027038320899009705,
0.02214932069182396,
0.00010835432476596907,
0.010261597111821175,
0.01295660249888897,
-0.009606902487576008,
0.04587014764547348,
0.01388807687908411,
-0.008108643814921379,
-0.022939447313547134,
0.013745762407779694,
0.038058239966630936,
0.004678209777921438,
-0.012770213186740875,
-0.004436340648680925,
-0.012308771722018719,
0.04113383963704109,
0.01069276500493288,
-0.051340874284505844,
-0.013071519322693348,
0.02135322615504265,
0.00666196271777153,
-0.024794284254312515,
-0.008687585592269897,
-0.011794764548540115,
-0.011132536455988884,
0.035803817212581635,
-0.019657505676150322,
-0.034008514136075974,
-0.011575636453926563,
-0.0448010116815567,
-0.009328039363026619,
-0.038690436631441116,
-0.054447613656520844,
-0.06844218820333481,
0.040706828236579895,
0.025333289057016373,
0.013958069495856762,
0.02099156193435192,
-0.025491824373602867,
-0.10404731333255768,
0.014815902337431908,
-0.016241956502199173,
0.0218355692923069,
-0.0053440905176103115,
0.047633010894060135,
0.05277954041957855,
-0.055218134075403214,
-0.04814087599515915,
-0.005977846682071686,
0.003616954432800412,
0.030845189467072487,
-0.01572355255484581,
0.030123332515358925,
-0.019790221005678177,
-0.02590949833393097,
-0.032947640866041183,
0.01930459402501583,
0.00781699176877737,
0.0357174277305603,
-0.004233364947140217,
0.04615028575062752,
0.012355220504105091,
0.014768214896321297,
0.040792036801576614,
0.05738969147205353,
-0.017840120941400528,
0.008282387629151344,
-0.07340781390666962,
-0.01782192289829254,
-0.0652514323592186,
0.0004115827614441514,
0.038927432149648666,
-0.05798634514212608,
-0.005936154630035162,
0.050238750874996185,
-0.011470828205347061,
-0.018639294430613518,
-0.05172808840870857,
0.010304518043994904,
-0.05462326481938362,
-0.022458240389823914,
-0.02017701417207718,
-0.042613402009010315,
0.029085276648402214,
0.04060570150613785,
-0.02200748771429062,
-0.018274536356329918,
0.04019137844443321,
-0.001971960300579667,
0.03508910536766052,
0.011759893968701363,
-0.011207620613276958,
-0.00674699479714036,
-0.01375662349164486,
-0.007776834070682526,
-0.0348646380007267,
0.02812865562736988,
0.03422536700963974,
0.011244063265621662,
0.014577575959265232,
0.042756833136081696,
0.018647918477654457,
0.015648039057850838,
0.0051196604035794735,
0.017780253663659096,
-0.0392986536026001,
-0.006862381473183632,
0.028451666235923767,
0.038952816277742386,
-0.003355937311425805,
0.051846664398908615,
0.01535533182322979,
0.0026806339155882597,
-0.015542115084826946,
0.0019193529151380062,
-0.024661947041749954,
0.04273279011249542,
-0.04199748858809471,
0.022354187443852425,
-0.0438096858561039,
0.016233770176768303,
0.005284678190946579,
0.045881237834692,
0.00149950769264251,
0.032426584511995316,
-0.057970281690359116,
0.03060535527765751,
-0.021939635276794434,
-0.02409685030579567,
-0.01811227947473526,
0.04074917733669281,
0.06351660192012787,
-0.042941126972436905,
0.009295409545302391,
0.019424641504883766,
0.017832081764936447,
0.023798171430826187,
-0.0019622945692390203,
-0.03642331808805466,
-0.022727657109498978,
-0.03773906081914902,
-0.019549652934074402,
0.0029491286259144545,
-0.002995756221935153,
-0.01978272944688797,
0.010915649123489857,
0.007933993823826313,
-0.014364815317094326,
-0.019354695454239845,
0.03074398636817932,
0.07890923321247101,
-0.0005251526017673314,
0.02680746279656887,
-0.009692938067018986,
-0.033054571598768234,
0.03652670979499817,
-0.03249670937657356,
-0.005524633917957544,
-0.020914500579237938,
-0.02712368406355381,
-0.015432541258633137,
-0.032072052359580994,
0.012124358676373959,
0.018115948885679245,
-0.0188874714076519,
0.011007701978087425,
-0.0259633157402277,
0.018063625320792198,
-0.05424661189317703,
-0.008679613471031189,
0.05277090147137642,
-0.0768306627869606,
-0.0016881315968930721,
0.0374353863298893,
-0.03435066342353821,
0.044111162424087524,
-0.08514600992202759,
-0.07693025469779968,
-0.03414151445031166,
-0.015394057147204876,
0.013618391938507557,
-0.022201092913746834,
-0.030094370245933533,
-0.00438092602416873,
0.009357379749417305,
-0.03486255928874016,
0.0258815735578537,
-0.0015519238077104092,
-0.009635166265070438,
-0.03208426386117935,
0.024034831672906876,
0.06265777349472046,
-0.009536929428577423,
-0.025288812816143036,
0.018859725445508957,
-0.01902075670659542,
0.022005923092365265,
-0.04126361384987831,
0.023562442511320114,
0.039994798600673676,
0.0072318874299526215,
0.016144517809152603,
-0.036037638783454895,
0.059236790984869,
-0.04991455376148224,
-0.04693543165922165,
0.00968505721539259,
-0.0017131870845332742,
-0.039060790091753006,
-0.02030431665480137,
0.017439108341932297,
0.037394776940345764,
0.015276845544576645,
-0.00798854324966669,
0.003792144125327468,
-0.0073241801001131535,
0.022476011887192726,
0.03548344597220421,
-0.03962165489792824,
0.024142678827047348,
0.07040780037641525,
-0.006124044302850962,
-0.007199528627097607,
-0.04690079391002655,
0.016408411785960197,
0.023423587903380394,
0.0005996834952384233,
0.04307105019688606,
-0.007769514806568623,
0.06142577528953552,
-0.015684865415096283,
0.040707096457481384,
0.026576682925224304,
-0.02517641894519329,
0.03630714863538742,
-0.06976106017827988,
-0.01565534621477127,
-0.06626494973897934,
-0.02166163921356201,
0.049361702054739,
-0.04343347251415253,
0.01155304815620184,
0.000380550540285185,
-0.04083938151597977,
0.030498897656798363,
-0.00495388126000762,
-0.07684125751256943,
-0.008415631018579006,
-0.031052518635988235,
-0.037966180592775345,
0.027335507795214653,
-0.04921596497297287,
-0.011288614012300968,
0.0103134885430336,
-0.07455875724554062,
0.01600411720573902,
-0.003759384620934725,
0.0287774745374918,
-0.02357969805598259,
-0.03388778492808342,
-0.041260845959186554,
0.020154330879449844,
0.04431191831827164,
0.047542374581098557,
0.01676885597407818,
0.040759675204753876,
-0.06156827509403229,
0.0542454831302166,
0.03877079486846924,
0.019638048484921455,
-0.00892646238207817,
0.025836726650595665,
-0.013783181086182594,
-0.05388794094324112,
0.041433487087488174,
0.0077101378701627254,
-0.023662598803639412,
-0.06002209335565567,
0.07220758497714996,
0.035879023373126984,
-0.015925534069538116,
-0.03238135203719139,
0.02817643992602825,
-0.05846574157476425,
0.003348099533468485,
0.020849086344242096,
0.006268358323723078,
0.020054148510098457,
0.061912935227155685,
0.00689136004075408,
0.02655835635960102,
0.06024772301316261,
-0.00914554949849844,
0.00628626486286521,
-0.03239798918366432,
0.1013588160276413,
0.050893865525722504,
0.048494674265384674,
-0.015660619363188744,
0.0834650918841362,
-0.03837798908352852,
-0.07753252238035202,
0.015658220276236534,
-0.012670453637838364,
-0.03331141546368599,
-0.00790403876453638,
0.006988709792494774,
0.05286756902933121,
0.021915551275014877,
0.07678424566984177,
-0.06925550103187561,
0.005641998257488012,
0.035665109753608704,
0.008462172001600266,
0.00016416599100921303,
0.040204666554927826,
0.009358196519315243,
0.03331298008561134,
-0.002784088021144271,
-0.01095941849052906,
-0.0365968756377697,
-0.018322311341762543,
0.03140593320131302,
0.01633291132748127,
-0.011225273832678795,
-0.011770853772759438,
0.02221577614545822,
0.04246727377176285,
0.07623638212680817,
-0.10122871398925781,
-0.013302627950906754,
0.016385739669203758,
0.04886869713664055,
0.007057295646518469,
0.03936620056629181,
0.0034581469371914864,
-0.029571717604994774,
-0.002454407513141632,
-0.024139227345585823,
0.04976057633757591,
0.02807239070534706,
0.006900859996676445,
0.006049181800335646,
-0.03508247807621956,
-0.019810566678643227,
0.037144266068935394,
0.04986126720905304,
-0.010126585140824318,
-0.029383398592472076,
-0.014081048779189587,
-0.06170422583818436,
-0.04018838703632355,
-0.07345952838659286,
0.013873802497982979,
0.036300793290138245,
-0.027280692011117935,
-0.005303611513227224,
-0.0018930096412077546,
0.010860498994588852,
0.025399310514330864,
-0.05685191601514816,
0.015463755466043949,
0.007324873469769955,
0.02477813884615898,
0.027589965611696243,
0.042123667895793915,
0.03549649193882942,
-0.008890501223504543,
-0.043190907686948776,
0.03142143040895462,
-0.007007441017776728,
0.021246252581477165,
-0.028663160279393196,
-0.007448725868016481,
-0.09185614436864853,
-0.000342303334036842,
-0.019240552559494972,
-0.04162933677434921,
-0.07907973974943161,
0.024218913167715073,
-0.03162379935383797,
0.033744677901268005,
0.0549735352396965,
0.003241169499233365,
0.010280340909957886,
-0.054695576429367065,
-0.005675626453012228,
-0.012500615790486336,
0.002582245273515582,
0.052207693457603455,
-0.01825038343667984,
0.05931837111711502,
0.0241476409137249,
-0.038923028856515884,
-0.06629341095685959,
0.03895627334713936,
-0.0009430827922187746,
0.019138598814606667,
-0.049917105585336685,
-0.01969928666949272,
-0.029294593259692192,
-0.10931996256113052,
0.0020712825935333967,
0.03248005732893944,
-0.003616431960836053,
-0.029716435819864273,
-0.021675799041986465,
0.0027533634565770626,
-0.008954176679253578,
0.016738414764404297,
-0.013849517330527306,
-0.01131018903106451,
-0.020266344770789146,
-0.024158816784620285,
-0.04573521390557289,
0.01134224608540535,
-0.04508906230330467,
-0.011531784199178219,
-0.03302665054798126,
-0.06873238831758499,
-0.022156110033392906,
-0.03610306605696678,
0.03835192322731018,
0.016619112342596054,
0.009201977401971817,
-0.0022152476012706757
] | null |
593 |
Simple Path Structural Encoding for Graph Transformers
|
https://openreview.net/forum?id=t3zwUqibMq
|
[
"Louis Airale",
"Antonio Longa",
"Mattia Rigon",
"Andrea Passerini",
"Roberto Passerone"
] |
Poster
|
Graph transformers extend global self-attention to graph-structured data, achieving notable success in graph learning. Recently, random walk structural encoding (RWSE) has been found to further enhance their predictive power by encoding both structural and positional information into the edge representation. However, RWSE cannot always distinguish between edges that belong to different local graph patterns, which reduces its ability to capture the full structural complexity of graphs.
This work introduces Simple Path Structural Encoding (SPSE), a novel method that utilizes simple path counts for edge encoding. We show theoretically and experimentally that SPSE overcomes the limitations of RWSE, providing a richer representation of graph structures, particularly in capturing local cyclic patterns. To make SPSE computationally tractable, we propose an efficient approximate algorithm for simple path counting.
SPSE demonstrates significant performance improvements over RWSE on various benchmarks, including molecular and long-range graph datasets, achieving statistically significant gains in discriminative tasks. These results pose SPSE as a powerful edge encoding alternative for enhancing the expressivity of graph transformers.
|
Graph transformer, structural encoding, simple paths
|
We present a structural encoding based on simple path counts for graph transformer, with theoretical and experimental validation.
| 12,864 |
2502.09365
|
[
-0.015929371118545532,
-0.0274811964482069,
0.013986599631607533,
0.055846065282821655,
0.02578597329556942,
0.01159058976918459,
0.03132285177707672,
0.016965337097644806,
-0.001633376581594348,
-0.04803048446774483,
0.017333894968032837,
-0.00957111082971096,
-0.06302335858345032,
-0.006850447040051222,
0.0120161734521389,
0.05716162547469139,
0.04931478574872017,
0.022642653435468674,
0.001984181348234415,
-0.010009950958192348,
-0.0006711658788844943,
-0.01807628571987152,
0.029450908303260803,
-0.0010262917494401336,
0.02189774438738823,
0.001773141440935433,
0.013144563883543015,
0.01377828884869814,
-0.03231027349829674,
0.019391212612390518,
0.04437526687979698,
0.003218970727175474,
0.007113942410796881,
-0.04298167675733566,
0.05385492742061615,
-0.015400043688714504,
-0.07576921582221985,
-0.0009292318718507886,
0.007028280291706324,
-0.0012727647554129362,
-0.06224626675248146,
-0.004055298864841461,
-0.010285451076924801,
0.033061493188142776,
-0.0389539897441864,
-0.018538566306233406,
-0.138994961977005,
0.053170476108789444,
-0.0007600472308695316,
-0.01563267409801483,
-0.09234388172626495,
0.04890937730669975,
0.021753733977675438,
0.008261981420218945,
-0.003321609925478697,
0.023051118478178978,
0.036716390401124954,
-0.049966007471084595,
0.0007477779290638864,
-0.02126079797744751,
-0.018013086169958115,
0.005479221232235432,
0.02721400186419487,
0.02624834142625332,
-0.007322569377720356,
-0.030244311317801476,
-0.002611942123621702,
0.06272104382514954,
-0.03671469911932945,
-0.03164789080619812,
0.005820152349770069,
0.004250900354236364,
-0.004844397772103548,
0.030815111473202705,
0.02650444582104683,
-0.033523447811603546,
0.010638093575835228,
-0.004616131540387869,
0.05688881129026413,
0.022406820207834244,
-0.0014810627326369286,
0.07733607292175293,
-0.0360817015171051,
0.03648393228650093,
-0.014721894636750221,
0.016351621598005295,
-0.05519023537635803,
-0.03551895543932915,
-0.0833076536655426,
0.022056210786104202,
-0.03324401006102562,
-0.06522101908922195,
-0.00042090541683137417,
0.03607649356126785,
0.03206215426325798,
-0.009476205334067345,
-0.00048169837100431323,
0.022781912237405777,
0.02766897901892662,
-0.015875449404120445,
-0.015324031934142113,
-0.02194776013493538,
0.024723784998059273,
-0.011006563901901245,
-0.09021149575710297,
-0.024829600006341934,
-0.03928729146718979,
-0.01570289023220539,
0.04054988920688629,
-0.005952951963990927,
-0.027043236419558525,
-0.01011686772108078,
0.00836293213069439,
-0.004657312761992216,
-0.07711510360240936,
0.028701385483145714,
0.016278333961963654,
0.0018372646300122142,
-0.0193980373442173,
0.013324948027729988,
0.002192719141021371,
0.012328026816248894,
0.007968946360051632,
0.08325812965631485,
-0.02799026295542717,
0.02000463381409645,
0.00148739421274513,
0.017038173973560333,
-0.03851403295993805,
-0.044451285153627396,
-0.008319543674588203,
0.03668937459588051,
0.01581711880862713,
0.0003783132997341454,
-0.010478286072611809,
-0.04242412745952606,
0.03201019763946533,
0.022919418290257454,
0.03664153441786766,
-0.023864831775426865,
0.014447464607656002,
-0.011506039649248123,
0.03893475607037544,
-0.015376605093479156,
0.06753247231245041,
-0.026409020647406578,
-0.03463668003678322,
-0.018425781279802322,
-0.04580589011311531,
0.01969960890710354,
0.016970595344901085,
-0.029479263350367546,
0.008329367265105247,
-0.07421568036079407,
0.018578553572297096,
0.0775662511587143,
0.024437403306365013,
0.04408082365989685,
-0.011283108964562416,
-0.01604488678276539,
0.008739923126995564,
-0.01684705913066864,
-0.031043950468301773,
0.033349256962537766,
0.014235101640224457,
-0.024922970682382584,
0.025528615340590477,
0.026098255068063736,
-0.04276612401008606,
-0.038886792957782745,
-0.012797769159078598,
-0.05524475499987602,
0.05001996085047722,
-0.025252144783735275,
-0.018758706748485565,
0.011454281397163868,
0.027128828689455986,
0.02458256483078003,
0.02793656475841999,
-0.0015054282266646624,
-0.07550134509801865,
0.02053198404610157,
0.015298445709049702,
-0.00697295693680644,
0.0021854026708751917,
-0.03886350616812706,
0.10752534866333008,
-0.013959532603621483,
-0.015005276538431644,
0.011111177504062653,
-0.08619911223649979,
-0.03412153571844101,
0.028132762759923935,
-0.03382573649287224,
0.06923910975456238,
0.000481514201965183,
-0.01257939264178276,
0.003819577395915985,
0.012082953006029129,
0.033971138298511505,
0.009287595748901367,
-0.016935914754867554,
0.0574139803647995,
-0.035391341894865036,
-0.06030301749706268,
0.022263817489147186,
0.038321711122989655,
-0.07480739057064056,
-0.06564472615718842,
-0.016857270151376724,
0.02014668844640255,
-0.02321700192987919,
-0.005268682260066271,
-0.008890357799828053,
-0.011288434267044067,
-0.01560525968670845,
-0.00512147881090641,
0.0359039269387722,
0.023931441828608513,
-0.07260950654745102,
0.01060828473418951,
0.027665235102176666,
-0.04890837520360947,
0.01740347035229206,
-0.03240622952580452,
0.09864378720521927,
0.07615793496370316,
-0.01012052409350872,
-0.006994203198701143,
0.01609579287469387,
0.019667843356728554,
0.013427742756903172,
0.029563138261437416,
-0.0425301156938076,
0.003389356890693307,
-0.05355903506278992,
0.0026995199732482433,
-0.03625475615262985,
0.04018186032772064,
-0.0601775199174881,
0.028476852923631668,
0.048222966492176056,
0.004721213132143021,
0.025059940293431282,
0.01079524029046297,
0.02268974669277668,
0.05818071961402893,
-0.05313463509082794,
0.0015382638666778803,
0.00006759181997040287,
-0.015849046409130096,
0.011163035407662392,
-0.004508063197135925,
-0.02679247036576271,
-0.005303861573338509,
-0.024245433509349823,
0.009700329974293709,
-0.03441842272877693,
0.06408686190843582,
0.06558093428611755,
0.013280038721859455,
0.014402644708752632,
-0.00442054308950901,
-0.0042311348952353,
-0.03189767897129059,
-0.11410361528396606,
-0.0395909808576107,
-0.0534929521381855,
0.056801144033670425,
0.013954773545265198,
0.02453887276351452,
-0.01533476822078228,
0.01502761710435152,
-0.013061890378594398,
-0.01575821079313755,
0.003945783246308565,
0.026503602042794228,
-0.015825800597667694,
-0.04936187341809273,
0.0006328013259917498,
0.031902577728033066,
0.0691901445388794,
0.003923018462955952,
-0.020535357296466827,
-0.0533888041973114,
-0.05764118954539299,
-0.010439255274832249,
0.0024211567360907793,
-0.007913230918347836,
0.01656816527247429,
0.03068229928612709,
0.032726023346185684,
-0.007864922285079956,
0.0036066786851733923,
0.03544221073389053,
0.06360790878534317,
0.06791961938142776,
0.003780999220907688,
0.027096187695860863,
-0.0014190507354214787,
0.011026511900126934,
0.029647333547472954,
0.013440805487334728,
0.008002921007573605,
0.02013312093913555,
0.015212001278996468,
-0.008372588083148003,
-0.009583824314177036,
-0.24726338684558868,
-0.018243364989757538,
-0.007260458543896675,
-0.03759318217635155,
0.0317867286503315,
-0.031032992526888847,
0.05056457594037056,
-0.013883939012885094,
-0.023755399510264397,
-0.003086310811340809,
0.027422010898590088,
0.006708481814712286,
0.011666159145534039,
0.04150182381272316,
0.04387631639838219,
0.0240512415766716,
0.0018011975334957242,
-0.036744315177202225,
0.027552656829357147,
0.04595773667097092,
-0.019332215189933777,
-0.0647716298699379,
-0.02899126708507538,
0.027760397642850876,
-0.0005117093678563833,
0.013793912716209888,
-0.0884639322757721,
-0.029945267364382744,
-0.02294658124446869,
-0.017663756385445595,
0.006787377409636974,
-0.03952712193131447,
0.0019604316912591457,
0.023716086521744728,
-0.02007206715643406,
-0.016271283850073814,
0.04739617183804512,
-0.0053975870832800865,
-0.01851169764995575,
0.019306134432554245,
0.012652779929339886,
-0.00570134911686182,
-0.02169543318450451,
-0.001019290299154818,
0.07149293273687363,
-0.0034649199806153774,
-0.017886538058519363,
-0.006210217718034983,
-0.019738443195819855,
0.03439224138855934,
-0.009373467415571213,
-0.023842869326472282,
0.00009221058280672878,
-0.0033135206904262304,
0.015284066088497639,
-0.03723473101854324,
0.00420984486117959,
0.00507104629650712,
-0.04918064922094345,
-0.018475860357284546,
0.013617943041026592,
-0.05262637138366699,
0.026549609377980232,
-0.034573182463645935,
-0.053539618849754333,
-0.027657655999064445,
-0.047482382506132126,
-0.0597422830760479,
0.005082732066512108,
0.015958020463585854,
-0.024535655975341797,
0.04431147873401642,
-0.0301168542355299,
-0.08478393405675888,
0.04494292661547661,
0.01404213160276413,
0.008597471751272678,
0.00816144049167633,
-0.009777549654245377,
0.02743523195385933,
-0.015286133624613285,
-0.04040422663092613,
-0.021875625476241112,
0.050718553364276886,
0.017648709937930107,
0.006381508894264698,
0.013680309057235718,
-0.029130566865205765,
-0.04320564121007919,
-0.04424891248345375,
0.03317626193165779,
0.0073820422403514385,
0.0631113052368164,
0.01820347085595131,
0.027345143258571625,
0.05744391307234764,
0.041727371513843536,
0.06226964667439461,
0.009767106734216213,
-0.00737676490098238,
0.05542857199907303,
-0.052175313234329224,
-0.01203411165624857,
-0.0011976833920925856,
-0.04046643525362015,
0.04590350016951561,
-0.05439293757081032,
-0.030900154262781143,
0.05405092239379883,
0.021799612790346146,
-0.052578575909137726,
-0.03862806782126427,
-0.008888530544936657,
0.005715100560337305,
0.001892233151011169,
-0.042907506227493286,
0.032589223235845566,
0.0024032548535615206,
0.005354150198400021,
-0.04220999777317047,
-0.039045218378305435,
0.05146685987710953,
-0.010100357234477997,
0.0031258827075362206,
-0.023633074015378952,
-0.02109006978571415,
0.0015182321658357978,
-0.008344045840203762,
0.011851695366203785,
0.03547704592347145,
0.029823554679751396,
0.06611596047878265,
-0.01231915969401598,
0.014378716237843037,
0.06658487021923065,
0.00767533527687192,
-0.019573524594306946,
0.012896080501377583,
0.016833586618304253,
-0.01888381503522396,
0.00027981825405731797,
-0.009532399475574493,
0.04380173236131668,
0.041169051080942154,
0.062266264110803604,
0.0059077865444123745,
0.03672340139746666,
0.014524162746965885,
0.0207672081887722,
-0.02124875783920288,
0.0067273760214447975,
-0.03010181151330471,
-0.015762364491820335,
-0.03773444890975952,
-0.001570358406752348,
-0.027825627475976944,
0.029929269105196,
-0.022626036778092384,
0.00016352404782082886,
-0.03823891654610634,
0.04013568162918091,
-0.0072513120248913765,
0.025948600843548775,
0.0065471758134663105,
0.011552974581718445,
0.056588418781757355,
0.002022697124630213,
0.012241065502166748,
0.007298621349036694,
0.003695797873660922,
0.0005025835707783699,
-0.010336039587855339,
-0.02230328880250454,
0.01055285707116127,
-0.025985972955822945,
0.001584240817464888,
-0.016892209649086,
0.0037056938745081425,
-0.047766756266355515,
0.041682567447423935,
-0.013861731626093388,
-0.01820955239236355,
0.014693481847643852,
0.0473417304456234,
0.08341348171234131,
0.010845608077943325,
-0.017551828175783157,
-0.00822778046131134,
-0.034367069602012634,
0.036974817514419556,
0.007144944742321968,
0.004236283246427774,
-0.07756540924310684,
-0.04346787929534912,
-0.03563159331679344,
-0.04731541872024536,
0.014646115712821484,
-0.016884280368685722,
-0.007571300026029348,
-0.010002992115914822,
-0.006862304173409939,
0.008419904857873917,
0.0027960743755102158,
-0.003910603933036327,
0.01600657030940056,
-0.051901716738939285,
-0.00958787277340889,
0.05907578021287918,
-0.003089052625000477,
-0.00942316371947527,
-0.006877568084746599,
-0.021650590002536774,
-0.052419524639844894,
-0.0428551621735096,
0.013292892836034298,
-0.006006859242916107,
0.003587346291169524,
-0.006481465883553028,
-0.0012382977874949574,
-0.005438825581222773,
0.017979474738240242,
-0.001750138239003718,
0.008172979578375816,
-0.03568821772933006,
0.03247419744729996,
0.05293560028076172,
-0.01874159462749958,
-0.0027693016454577446,
0.009350779466331005,
-0.03247164934873581,
0.008831298910081387,
-0.02848982997238636,
0.042902857065200806,
0.04501074552536011,
-0.017474086955189705,
0.0016064672963693738,
-0.09269030392169952,
0.017673738300800323,
0.02247135527431965,
0.017884477972984314,
0.035940222442150116,
0.008446699939668179,
-0.047074224799871445,
0.010968448594212532,
0.029830316081643105,
0.03639260679483414,
0.0417347252368927,
0.015176018700003624,
0.003967388067394495,
0.02107240818440914,
0.01752956584095955,
0.025023087859153748,
-0.04022001475095749,
-0.02977827936410904,
0.0628422275185585,
-0.01364266499876976,
-0.01575561799108982,
-0.07306043058633804,
-0.06459540128707886,
0.0032696817070245743,
-0.03739973530173302,
0.010136495344340801,
-0.0011540391715243459,
0.04736056551337242,
0.05160224065184593,
0.014173341915011406,
-0.013164700008928776,
-0.039659418165683746,
0.003438080893829465,
-0.02922743931412697,
0.015110240317881107,
-0.029986515641212463,
-0.0009237542981281877,
0.06564757972955704,
-0.04588973522186279,
0.002547662938013673,
-0.01905316300690174,
-0.02180052362382412,
0.004490431398153305,
-0.04981236532330513,
-0.07938812673091888,
0.017343606799840927,
-0.02708076499402523,
0.03354378789663315,
0.031572408974170685,
-0.053199250251054764,
-0.007228470407426357,
-0.0036006919108331203,
-0.06538468599319458,
-0.025784704834222794,
-0.018330128863453865,
0.04535648599267006,
-0.06315828859806061,
0.018155904486775398,
-0.02047611027956009,
-0.0038399763870984316,
0.02551725134253502,
0.07484454661607742,
0.012086342088878155,
0.04429861158132553,
-0.04338324815034866,
0.035599175840616226,
0.0481085367500782,
-0.033161088824272156,
-0.004051079507917166,
0.039381567388772964,
-0.027118932455778122,
-0.039536427706480026,
0.039835888892412186,
0.00900531280785799,
-0.015792082995176315,
-0.05992450192570686,
0.09213700890541077,
0.01473196130245924,
-0.06617583334445953,
-0.00925466138869524,
0.03127841651439667,
-0.025430098176002502,
-0.012610983103513718,
0.013397476635873318,
0.006643263157457113,
-0.02035336196422577,
0.06360498070716858,
0.014347245916724205,
0.03223305940628052,
0.08445519953966141,
0.03424771875143051,
0.009534411132335663,
-0.046831078827381134,
0.09649846702814102,
0.08351745456457138,
0.03540607914328575,
-0.006843611132353544,
0.06025257706642151,
-0.04867367446422577,
-0.028195757418870926,
0.018985282629728317,
0.027103176340460777,
-0.004832885693758726,
-0.041810546070337296,
0.019002394750714302,
0.06410317122936249,
-0.0004986897693015635,
0.0691843032836914,
-0.058153726160526276,
-0.0037075818981975317,
0.038321785628795624,
0.002112454967573285,
0.005978537257760763,
0.051393281668424606,
0.032977521419525146,
0.007586815860122442,
-0.03941189497709274,
0.023139189928770065,
-0.01684327982366085,
-0.026987718418240547,
0.015711292624473572,
0.03929208219051361,
-0.0182249303907156,
0.02091572992503643,
-0.02241678349673748,
0.04248790815472603,
0.11762650310993195,
-0.0412638783454895,
-0.0362480990588665,
-0.03787836804986,
0.010432953014969826,
0.02044442854821682,
0.05083397775888443,
-0.011518575251102448,
-0.02401997521519661,
0.002104874001815915,
-0.09633693099021912,
0.027109619230031967,
-0.0061054653488099575,
-0.004109255038201809,
-0.009571844711899757,
-0.013539635576307774,
-0.024542219936847687,
-0.0036732081789523363,
0.0009942414471879601,
-0.06070097163319588,
-0.037583157420158386,
-0.040561575442552567,
-0.04284164682030678,
-0.06302609294652939,
-0.06395402550697327,
0.015137136913836002,
-0.012784114107489586,
-0.043043218553066254,
-0.009177490137517452,
-0.03732702136039734,
0.027130911126732826,
0.0047043911181390285,
-0.05004855617880821,
0.011632438749074936,
0.03669548034667969,
0.023958558216691017,
-0.013827129267156124,
0.022602355107665062,
0.04082389548420906,
-0.03303460776805878,
-0.009551958180963993,
0.031921569257974625,
0.014078298583626747,
0.02607785537838936,
-0.001982755260542035,
-0.009410656988620758,
-0.08877028524875641,
0.02096170373260975,
0.008732347749173641,
-0.0390532910823822,
-0.08504664152860641,
0.016913441941142082,
0.019372517243027687,
0.04575687646865845,
0.034668706357479095,
0.012335825711488724,
0.009482613764703274,
-0.04368135333061218,
0.020385487005114555,
0.037846639752388,
0.0005107822362333536,
0.0655250996351242,
-0.011164975352585316,
0.05630366504192352,
0.04209336265921593,
0.014413949102163315,
-0.0197182334959507,
-0.001976416679099202,
0.005868050269782543,
0.010505628772079945,
-0.00548717612400651,
-0.03884477913379669,
-0.03531932458281517,
-0.1052241176366806,
-0.023896746337413788,
0.025707770138978958,
-0.0020204558968544006,
-0.037634823471307755,
-0.02467280626296997,
-0.017054196447134018,
0.01170820277184248,
0.00196739099919796,
-0.03312183916568756,
0.004990249406546354,
-0.007913824170827866,
-0.0518520288169384,
-0.06378792226314545,
-0.00672107795253396,
-0.01990644261240959,
0.048470381647348404,
-0.02975982055068016,
-0.02531586028635502,
0.002746668877080083,
-0.025147343054413795,
0.007655526511371136,
0.04760602116584778,
0.04254280775785446,
-0.011907732114195824
] |
https://github.com/LouisBearing/Graph-SPSE-Encoding
|
594 |
Towards characterizing the value of edge embeddings in Graph Neural Networks
|
https://openreview.net/forum?id=AEHtq4xHSU
|
[
"Dhruv Rohatgi",
"Tanya Marwah",
"Zachary Chase Lipton",
"Jianfeng Lu",
"Ankur Moitra",
"Andrej Risteski"
] |
Poster
|
Graph neural networks (GNNs) are the dominant approach to solving machine learning problems defined over graphs. Despite much theoretical and empirical work in recent years, our understanding of finer-grained aspects of architectural design for GNNs remains impoverished. In this paper, we consider the benefits of architectures that maintain and update edge embeddings. On the theoretical front, under a suitable computational abstraction for a layer in the model, as well as memory constraints on the embeddings, we show that there are natural tasks on graphical models for which architectures leveraging edge embeddings can be much shallower. Our techniques are inspired by results on time-space tradeoffs in theoretical computer science. Empirically, we show architectures that maintain edge embeddings almost always improve on their node-based counterparts---frequently significantly so in topologies that have "hub" nodes.
|
graph neural networks, theory, representational power, communication complexity, memory tradeoffs, edge embeddings
|
We characterize the added representational power conferred to by edge embeddings in GNNs, considering additional constraints like memory and symmetry.
| 12,858 |
2410.09867
|
[
-0.03508888930082321,
-0.02787182107567787,
0.01695043034851551,
0.07531896233558655,
0.025025859475135803,
0.025619562715291977,
0.025679653510451317,
0.023583227768540382,
-0.00919867679476738,
-0.04957668110728264,
0.015872212126851082,
-0.021578265354037285,
-0.0808379277586937,
-0.011109505780041218,
0.015332833863794804,
0.036433205008506775,
0.05485993251204491,
0.0069955941289663315,
-0.010721806436777115,
0.000722743570804596,
0.004188709892332554,
-0.02995755709707737,
0.020177118480205536,
0.025523938238620758,
0.024699781090021133,
-0.027182092890143394,
0.010653282515704632,
-0.016052255406975746,
0.0013942213263362646,
0.03656629100441933,
0.033050183206796646,
0.008616923354566097,
0.021934058517217636,
-0.04770095273852348,
0.03058474138379097,
-0.022138724103569984,
-0.08269896358251572,
0.014399171806871891,
0.013976995833218098,
0.005551173817366362,
-0.07632898539304733,
0.017713291570544243,
-0.0016334737883880734,
0.03946002945303917,
-0.03756801411509514,
0.03409456089138985,
-0.09813093394041061,
0.04276912659406662,
0.023607904091477394,
-0.007930847816169262,
-0.11336363852024078,
0.041983023285865784,
0.01086882222443819,
0.001134894322603941,
-0.0033440012484788895,
0.013177662156522274,
0.05196836590766907,
-0.043244581669569016,
0.0011791120050475001,
-0.05458095297217369,
-0.03358078375458717,
0.030071232467889786,
0.01950780861079693,
0.017638346180319786,
-0.031360890716314316,
-0.010587243363261223,
0.03755525127053261,
0.05131075903773308,
-0.044846970587968826,
-0.01669437624514103,
-0.008059863932430744,
0.020425347611308098,
-0.014075702987611294,
0.02282814122736454,
0.020834119990468025,
-0.04179041460156441,
-0.0010195414070039988,
-0.002611470641568303,
0.09658939391374588,
-0.027064500376582146,
0.0025295813102275133,
0.06219267472624779,
0.014030343852937222,
0.01989586092531681,
0.032685112208127975,
0.024035118520259857,
-0.04887717589735985,
-0.0528077632188797,
-0.11023879796266556,
0.025202132761478424,
-0.04994708672165871,
-0.05327029153704643,
0.019898023456335068,
0.023830203339457512,
0.017651822417974472,
0.012636750936508179,
0.026582594960927963,
0.005299967713654041,
0.04057956486940384,
-0.011979999952018261,
-0.009600818157196045,
-0.03604283183813095,
-0.028011362999677658,
0.005418309010565281,
-0.10132325440645218,
-0.07597143203020096,
-0.01492931880056858,
-0.01651001162827015,
0.005322753917425871,
-0.04291560873389244,
-0.053135622292757034,
-0.01623701862990856,
0.013259859755635262,
-0.008437530137598515,
-0.06270252913236618,
0.00029375278973020613,
-0.014151184819638729,
-0.011037273332476616,
-0.05033828690648079,
-0.0022231850307434797,
0.037884827703237534,
0.04010319709777832,
0.016255851835012436,
0.06188566982746124,
-0.020942814648151398,
-0.019193725660443306,
0.01886645518243313,
0.01645101048052311,
-0.04655202105641365,
-0.02605375461280346,
-0.009788225404918194,
0.03867392614483833,
-0.01952841691672802,
0.008110320195555687,
0.015227681957185268,
-0.04056357219815254,
0.0055488403886556625,
0.03051006980240345,
0.01919512078166008,
-0.025656268000602722,
0.00776275061070919,
-0.04751657694578171,
0.07027442753314972,
-0.03416939824819565,
0.08278226852416992,
-0.04940594732761383,
0.008207983337342739,
-0.02238508313894272,
-0.01133803091943264,
-0.02140592597424984,
-0.002255924278870225,
0.016752619296312332,
-0.00966937281191349,
-0.05447342246770859,
0.026842819526791573,
0.07742193341255188,
0.018771566450595856,
0.05028655007481575,
-0.0010192212648689747,
0.026682013645768166,
0.03406175225973129,
-0.01735476590692997,
-0.017428740859031677,
0.03157322481274605,
-0.01676594838500023,
-0.05270537734031677,
0.01947922445833683,
0.01697366312146187,
-0.005336809903383255,
-0.004456061404198408,
0.018452566117048264,
-0.043537937104701996,
0.04471111670136452,
-0.0008176920237019658,
-0.017582852393388748,
0.00385955604724586,
0.07149170339107513,
0.004784723743796349,
0.001130210468545556,
0.024114033207297325,
-0.08935318142175674,
0.054343465715646744,
0.04601805657148361,
-0.0034416336566209793,
-0.06036892533302307,
-0.019933726638555527,
0.06772227585315704,
-0.03433931618928909,
0.01700882986187935,
-0.006786285899579525,
-0.07942281663417816,
-0.014718091115355492,
0.0245394054800272,
-0.039575885981321335,
0.08192864805459976,
0.0059620654210448265,
-0.011481549590826035,
-0.0015981401083990932,
0.00014832626038696617,
0.04059887304902077,
0.05042709782719612,
-0.043372005224227905,
0.028920160606503487,
0.0027943451423197985,
-0.019527480006217957,
0.015329189598560333,
0.02180783823132515,
-0.07178992033004761,
-0.06432515382766724,
0.033714741468429565,
0.010427204892039299,
-0.023202858865261078,
0.011084722355008125,
-0.008698975667357445,
0.011818232014775276,
0.002688721753656864,
-0.00020739664614666253,
-0.004503864794969559,
0.05859056115150452,
-0.05281514674425125,
0.03332499414682388,
0.003725391114130616,
-0.01628260873258114,
0.031171927228569984,
-0.04235285520553589,
0.10448139905929565,
0.07171890884637833,
-0.025682421401143074,
0.010314153507351875,
0.009159461595118046,
0.01925504021346569,
0.026699092239141464,
0.010858195833861828,
-0.01963339000940323,
0.035599250346422195,
-0.013136833906173706,
0.0018819873221218586,
-0.02665834315121174,
0.060736022889614105,
-0.05619921162724495,
-0.008347121067345142,
0.051091935485601425,
-0.030878834426403046,
0.04779334366321564,
0.01227973960340023,
0.020110631361603737,
0.04301348701119423,
-0.02738860994577408,
-0.014628446660935879,
-0.021070750430226326,
-0.008534208871424198,
-0.0034296445082873106,
0.007230411749333143,
-0.02491253800690174,
0.0073632909916341305,
-0.0454513244330883,
0.018414674326777458,
-0.033495113253593445,
0.05324479937553406,
0.05582587793469429,
0.050841834396123886,
-0.0004019330954179168,
-0.01887432485818863,
-0.0014988892944529653,
-0.026443473994731903,
-0.10935445874929428,
-0.03304051235318184,
-0.008324281312525272,
0.08408544957637787,
-0.0019585913978517056,
0.04182080924510956,
-0.02389059215784073,
0.03157501667737961,
-0.024076327681541443,
-0.026810213923454285,
0.006428364664316177,
0.029724247753620148,
-0.009196191094815731,
-0.057706739753484726,
-0.02386227808892727,
0.021414002403616905,
0.06730405986309052,
-0.0290344450622797,
-0.01621956191956997,
-0.03231092914938927,
-0.04022414609789848,
-0.007901058532297611,
-0.04958359897136688,
-0.022609878331422806,
0.010875588282942772,
0.04049762338399887,
0.0424744114279747,
-0.012944293208420277,
0.014827010221779346,
0.04604879394173622,
0.0755077600479126,
0.056290265172719955,
-0.02206888049840927,
-0.02606550231575966,
0.009278947487473488,
-0.015117859467864037,
0.0422949455678463,
0.018113043159246445,
0.028142789378762245,
-0.035362228751182556,
0.011634049005806446,
0.031613800674676895,
0.0006115596042945981,
-0.25457948446273804,
-0.015612364746630192,
0.0011519325198605657,
-0.039301350712776184,
-0.0008139862911775708,
-0.02756423130631447,
0.03978041931986809,
-0.007213391363620758,
-0.01069357618689537,
-0.033286578953266144,
-0.0016439250903204083,
-0.008275775238871574,
-0.0025262213312089443,
0.03682776540517807,
0.0492519736289978,
0.0028271572664380074,
-0.01237676851451397,
-0.018527301028370857,
0.010137122124433517,
0.014561780728399754,
-0.02526276558637619,
-0.07715898752212524,
-0.021809054538607597,
0.02837986871600151,
-0.03065764345228672,
0.027991173788905144,
-0.10119739919900894,
-0.021402588114142418,
-0.03257927671074867,
-0.003925744444131851,
-0.0007314758258871734,
-0.029749320819973946,
-0.017653964459896088,
0.030715085566043854,
-0.01818922534584999,
0.009714950807392597,
0.02172565832734108,
-0.017127571627497673,
0.004640418104827404,
0.03216826543211937,
0.03180306777358055,
0.014892183244228363,
-0.015330133959650993,
0.02931904047727585,
0.09480566531419754,
0.0029183882288634777,
-0.039651039987802505,
-0.004805239383131266,
-0.00641929404810071,
0.033890679478645325,
-0.004847515374422073,
-0.0029310774989426136,
-0.010049109347164631,
0.01574411801993847,
-0.022756583988666534,
-0.019425394013524055,
-0.004088418558239937,
-0.00629655783995986,
-0.01595436781644821,
0.010960182175040245,
0.011101193726062775,
-0.03585730493068695,
0.025706706568598747,
-0.03161231800913811,
-0.025513900443911552,
-0.014798115007579327,
-0.06608019769191742,
-0.07681979238986969,
0.0230419784784317,
0.008544797077775002,
-0.001286052051000297,
0.02798519842326641,
-0.028135044500231743,
-0.09051931649446487,
0.022415347397327423,
0.003819414647296071,
-0.010040199384093285,
0.006079109851270914,
0.0251455120742321,
0.051110945641994476,
-0.0041032955050468445,
-0.026837555691599846,
-0.011842160485684872,
0.008833169005811214,
0.02797640673816204,
0.013774534687399864,
-0.015170896425843239,
-0.029386943206191063,
-0.032224930822849274,
-0.0023323772475123405,
0.009763740003108978,
0.012665355578064919,
0.05083194375038147,
-0.006088193040341139,
0.03652476891875267,
0.05158083885908127,
0.06340301036834717,
0.02961467206478119,
0.047958459705114365,
0.013385218568146229,
0.04042263329029083,
-0.05486847832798958,
-0.025326356291770935,
-0.01946455053985119,
-0.06420986354351044,
0.02678406797349453,
-0.03405974432826042,
-0.021686147898435593,
0.03957317769527435,
-0.0008473447524011135,
-0.026590712368488312,
-0.07530044764280319,
-0.008181345649063587,
-0.026149004697799683,
-0.03242720663547516,
-0.0299760140478611,
-0.015384888276457787,
0.0374382808804512,
0.014498583041131496,
-0.02886779233813286,
-0.019647149369120598,
0.05551868677139282,
-0.013372221030294895,
0.050208862870931625,
-0.00931810773909092,
-0.007683164905756712,
0.0038121554534882307,
-0.04293879494071007,
0.023218322545289993,
0.003971622325479984,
0.045718446373939514,
0.06087469309568405,
0.003569710301235318,
0.005782244727015495,
0.05497832968831062,
-0.00651254178956151,
0.010425969958305359,
0.006125027313828468,
0.043759893625974655,
-0.02559661865234375,
-0.001358360517770052,
0.014383203350007534,
0.03272024169564247,
0.02082155831158161,
0.035034388303756714,
0.026931891217827797,
-0.005775657948106527,
-0.0020430530421435833,
-0.0026314719580113888,
-0.014926454052329063,
0.018688807263970375,
-0.04703029617667198,
0.010520142503082752,
-0.045249056071043015,
0.012395373545587063,
-0.008652320131659508,
0.039628855884075165,
-0.012548319064080715,
0.00004352063842816278,
-0.033338963985443115,
0.06375619769096375,
-0.0017321809427812696,
-0.02657843939960003,
0.024031635373830795,
-0.005946504883468151,
0.062416888773441315,
-0.02542957291007042,
-0.03735930100083351,
0.0043259356170892715,
-0.022625841200351715,
0.0035695298574864864,
0.010439513251185417,
-0.029545359313488007,
0.010409836657345295,
-0.005438170861452818,
-0.008730986155569553,
-0.010872158221900463,
0.009447728283703327,
-0.012287638150155544,
0.021782053634524345,
-0.011784783564507961,
-0.0016955737955868244,
-0.009985662996768951,
0.029081683605909348,
0.07481208443641663,
0.011493668891489506,
0.014112909324467182,
0.008058242499828339,
-0.03748933598399162,
0.04464368522167206,
0.01459699310362339,
0.009792672470211983,
-0.04409284517168999,
-0.04649706184864044,
-0.012773428112268448,
-0.008888461627066135,
0.02880777232348919,
-0.011101312935352325,
-0.0013003976782783866,
-0.04343947395682335,
-0.0182374007999897,
0.03204958140850067,
-0.04487680643796921,
0.03164639323949814,
0.03468566760420799,
-0.058545373380184174,
0.0038267727941274643,
0.04295792430639267,
-0.019414911046624184,
0.016510523855686188,
-0.004973193630576134,
0.004232897888869047,
-0.08395393192768097,
-0.013479999266564846,
0.04240409657359123,
0.023311477154493332,
-0.009572704322636127,
0.002334940480068326,
-0.022501889616250992,
-0.007312442641705275,
0.00684439716860652,
-0.01858513616025448,
-0.00811386201530695,
-0.03832565248012543,
0.010597895830869675,
0.06582147628068924,
0.007020636927336454,
0.008057216182351112,
-0.026491515338420868,
-0.029084587469697,
0.01695353537797928,
-0.029338553547859192,
0.0227196142077446,
0.07287561148405075,
-0.008226911537349224,
0.01596718095242977,
-0.048411108553409576,
0.015961354598402977,
-0.018728438764810562,
-0.025924207642674446,
-0.0017174938693642616,
0.00015589558461215347,
-0.060647010803222656,
0.012245630845427513,
0.013982496224343777,
0.024459250271320343,
0.007027923129498959,
0.022877685725688934,
-0.02947981469333172,
-0.022493841126561165,
0.012521388940513134,
0.014898729510605335,
-0.04667428508400917,
0.0002487310557626188,
0.051108308136463165,
-0.044350575655698776,
-0.02713843062520027,
-0.03471258282661438,
-0.006620254833251238,
-0.00235162815079093,
-0.04226743429899216,
-0.0059365746565163136,
-0.017234494909644127,
0.05043235048651695,
0.024406803771853447,
0.03483995422720909,
0.012540583498775959,
-0.033454734832048416,
0.02344047650694847,
-0.03341473266482353,
0.0021136042196303606,
-0.043836575001478195,
-0.03400055691599846,
0.03286994993686676,
-0.022445552051067352,
0.016387442126870155,
-0.0016621350077912211,
-0.0189360324293375,
0.005148866679519415,
-0.027866575866937637,
-0.0638938620686531,
0.019667595624923706,
-0.02271619252860546,
0.03192183002829552,
0.0029878225177526474,
-0.048450179398059845,
-0.02270621992647648,
-0.016121823340654373,
-0.0568164698779583,
-0.011837621219456196,
-0.01072656363248825,
0.016873475164175034,
-0.038514524698257446,
0.04101477935910225,
0.009137967601418495,
-0.0061313193291425705,
0.044550180435180664,
0.06278150528669357,
0.031129762530326843,
0.023929130285978317,
-0.04148699343204498,
0.03489668667316437,
0.04048394784331322,
0.00815519504249096,
0.007299546618014574,
0.054097700864076614,
-0.02412746660411358,
-0.05644620954990387,
0.03452841192483902,
-0.0001976584899239242,
-0.019341427832841873,
-0.05436372384428978,
0.07605181634426117,
0.002830334473401308,
-0.04718803986907005,
-0.01619252935051918,
0.02936932072043419,
-0.05601412430405617,
0.010868679732084274,
-0.013878637924790382,
-0.009312393143773079,
0.011730626225471497,
0.058812450617551804,
-0.0060836938209831715,
0.030400706455111504,
0.06824200600385666,
0.023412862792611122,
-0.02106679044663906,
-0.03786637634038925,
0.0903123989701271,
0.059334319084882736,
0.04430999234318733,
-0.010076229460537434,
0.08196448534727097,
-0.033003780990839005,
-0.03600813448429108,
0.014388514682650566,
0.02835056185722351,
-0.0234631709754467,
-0.025174790993332863,
0.03610149770975113,
0.06463420391082764,
0.0012189603876322508,
0.08020072430372238,
-0.057689473032951355,
-0.010218381881713867,
0.04624803364276886,
-0.016478125005960464,
-0.034144774079322815,
0.04670395702123642,
0.020083559677004814,
0.0009405738674104214,
-0.0321384072303772,
-0.008215689100325108,
-0.016496403142809868,
-0.025418410077691078,
0.01837291195988655,
0.0565028116106987,
0.00433536060154438,
0.01862272061407566,
0.00965450145304203,
0.02905230224132538,
0.10564413666725159,
-0.05011202022433281,
-0.04485622048377991,
-0.010225560516119003,
0.006131398491561413,
-0.0030582337640225887,
0.04339325428009033,
0.01226863730698824,
-0.0441732183098793,
-0.005701171234250069,
-0.04081901162862778,
0.030804723501205444,
-0.006804068107157946,
-0.0077704922296106815,
-0.011469618417322636,
-0.02121012844145298,
-0.020506761968135834,
0.011782016605138779,
0.018840191885828972,
-0.005732366815209389,
-0.04124973341822624,
-0.023465558886528015,
-0.044826921075582504,
-0.062091387808322906,
-0.074574314057827,
0.010090822353959084,
-0.014237589202821255,
-0.03974487632513046,
-0.004875623621046543,
0.004309670999646187,
0.00905759446322918,
0.0438263937830925,
-0.050796546041965485,
0.02754535712301731,
0.0052506402134895325,
0.047791898250579834,
0.0004516666813287884,
0.03838392347097397,
0.029191479086875916,
-0.037973687052726746,
-0.020442580804228783,
0.07036655396223068,
0.020384445786476135,
0.006765418685972691,
-0.016951918601989746,
-0.000537170039024204,
-0.10654674470424652,
0.004975505173206329,
0.004688452463597059,
-0.07504815608263016,
-0.08772657066583633,
0.039979759603738785,
0.0005326805985532701,
0.040961362421512604,
0.0681522786617279,
0.017166007310152054,
-0.0005039797397330403,
-0.02904636785387993,
0.028109051287174225,
-0.00387009815312922,
-0.01041405275464058,
0.05227895826101303,
-0.00012894674728158861,
0.05954687297344208,
0.034116219729185104,
-0.0215547326952219,
0.025191055610775948,
0.019145209342241287,
-0.002593225333839655,
-0.0025237209629267454,
-0.03137407824397087,
-0.02412775158882141,
-0.013260459527373314,
-0.09921272099018097,
-0.02434193715453148,
0.0014198474818840623,
0.01317261066287756,
-0.02724391408264637,
-0.013040022924542427,
-0.009617802686989307,
-0.00964213628321886,
-0.00476020248606801,
-0.04459122568368912,
-0.008677462115883827,
-0.029605068266391754,
-0.03760392591357231,
-0.07206759601831436,
0.0361308716237545,
-0.012072954326868057,
0.006640322040766478,
-0.034294646233320236,
-0.05667700618505478,
-0.01632334291934967,
-0.024093661457300186,
0.035213787108659744,
-0.007824097760021687,
0.02359604462981224,
0.02515338733792305
] | null |
595 |
Designing Cyclic Peptides via Harmonic SDE with Atom-Bond Modeling
|
https://openreview.net/forum?id=ERu2ZiAnR7
|
[
"Xiangxin Zhou",
"Mingyu Li",
"Yi Xiao",
"Jiahan Li",
"Dongyu Xue",
"Zaixiang Zheng",
"Jianzhu Ma",
"Quanquan Gu"
] |
Poster
|
Cyclic peptides offer inherent advantages in pharmaceuticals. For example, cyclic peptides are more resistant to enzymatic hydrolysis compared to linear peptides and usually exhibit excellent stability and affinity. Although deep generative models have achieved great success in linear peptide design, several challenges prevent the development of computational methods for designing diverse types of cyclic peptides. These challenges include the scarcity of 3D structural data on target proteins and associated cyclic peptide ligands, the geometric constraints that cyclization imposes, and the involvement of non-canonical amino acids in cyclization. To address the above challenges, we introduce CpSDE, which consists of two key components: AtomSDE, a generative structure prediction model based on harmonic SDE, and ResRouter, a residue type predictor. Utilizing a routed sampling algorithm that alternates between these two models to iteratively update sequences and structures, CpSDE facilitates the generation of cyclic peptides. By employing explicit all-atom and bond modeling, CpSDE overcomes existing data limitations and is proficient in designing a wide variety of cyclic peptides.
Our experimental results demonstrate that the cyclic peptides designed by our method exhibit reliable stability and affinity.
|
cyclic peptide, peptide design, SDE-based generative model
| null | 12,856 |
2505.21452
|
[
0.0017540064873173833,
0.004016232676804066,
-0.029696540907025337,
0.02690092846751213,
0.04977452754974365,
-0.02012825571000576,
0.042614761739969254,
-0.004486353602260351,
0.0034702243283391,
-0.0477449893951416,
0.035538528114557266,
-0.0010583020048215985,
-0.06436280906200409,
0.02530679851770401,
0.049052558839321136,
0.05947185680270195,
0.013840734958648682,
0.033295534551143646,
0.03619472682476044,
0.03080335073173046,
-0.02527114935219288,
0.01672808639705181,
0.040954895317554474,
0.029959160834550858,
0.032458797097206116,
0.0059637161903083324,
0.015480108559131622,
0.013484843075275421,
-0.02922634966671467,
-0.007194358389824629,
0.041256170719861984,
0.02734442427754402,
-0.019970513880252838,
-0.04473140090703964,
0.03167153522372246,
0.02819979190826416,
-0.052324675023555756,
-0.010061594657599926,
-0.011081486009061337,
-0.0033866972662508488,
-0.045713767409324646,
-0.027613118290901184,
-0.015806816518306732,
0.005728204734623432,
-0.03824363276362419,
0.001356993685476482,
-0.09355710446834564,
0.059610385447740555,
-0.0076838331297039986,
-0.03952295705676079,
-0.07879392057657242,
0.026809897273778915,
0.036281730979681015,
-0.0339982807636261,
0.001894851098768413,
0.045772016048431396,
0.01949308067560196,
-0.03181248530745506,
-0.007017183117568493,
-0.05356457829475403,
-0.02491854690015316,
0.006771482992917299,
0.020834730938076973,
-0.00545333418995142,
0.015905385836958885,
-0.034497957676649094,
0.0065521132200956345,
0.01200899202376604,
-0.041863925755023956,
-0.018152892589569092,
-0.027704695239663124,
-0.039452988654375076,
0.03241490200161934,
-0.0020328504033386707,
0.03377382084727287,
-0.04603113606572151,
-0.0061521390452980995,
0.01405345182865858,
0.04236423224210739,
0.058725789189338684,
-0.009561366401612759,
0.04389232397079468,
0.0029171910136938095,
0.02967827580869198,
-0.01648290455341339,
0.002862055553123355,
-0.01348037552088499,
0.02739810012280941,
-0.06411851942539215,
0.07268474251031876,
-0.006607639137655497,
-0.06363683938980103,
0.034530289471149445,
0.027017133310437202,
0.051747675985097885,
-0.02414337545633316,
0.03432794660329819,
0.005508928094059229,
-0.012369019910693169,
-0.003471901873126626,
-0.017426202073693275,
-0.028439246118068695,
-0.014962034299969673,
-0.0154092563316226,
-0.07437260448932648,
-0.024208294227719307,
-0.0434609018266201,
-0.07095940411090851,
0.0009644972160458565,
-0.008371039293706417,
-0.030913928523659706,
-0.010341919958591461,
0.011159595102071762,
0.018353912979364395,
-0.05071432143449783,
0.054278578609228134,
0.004172311630100012,
0.020975366234779358,
-0.01777772232890129,
-0.01615186594426632,
0.03718365728855133,
0.0512036457657814,
-0.001927957171574235,
0.0714205726981163,
0.010665067471563816,
0.028131740167737007,
-0.021450696513056755,
0.003055830718949437,
-0.032360244542360306,
-0.017935529351234436,
0.022595074027776718,
0.01769961416721344,
-0.037619318813085556,
-0.05777592211961746,
-0.015208391472697258,
-0.005894910078495741,
-0.02423064038157463,
0.0005218212027102709,
0.0540638267993927,
0.00823847483843565,
0.004572316538542509,
0.004482243675738573,
0.04134686663746834,
-0.03547125682234764,
0.05118108540773392,
-0.028131619095802307,
-0.0050044190138578415,
-0.02120197005569935,
-0.020410630851984024,
0.02754468284547329,
0.018156327307224274,
0.008983260951936245,
-0.03164495900273323,
-0.029980091378092766,
0.04967052862048149,
0.03389686346054077,
0.04726093262434006,
0.03097865916788578,
0.005493225995451212,
-0.02196272648870945,
0.039355892688035965,
0.013121890835464,
-0.022356070578098297,
0.045877039432525635,
0.019337642937898636,
-0.008983653970062733,
0.059282708913087845,
0.07641788572072983,
-0.04869508370757103,
-0.008606694638729095,
-0.048724379390478134,
-0.03634484112262726,
0.06754599511623383,
-0.018440866842865944,
0.019757511094212532,
0.00888229999691248,
0.040965355932712555,
-0.004824845120310783,
0.01687333919107914,
-0.0029443681705743074,
-0.08246598392724991,
0.04461217671632767,
0.030438262969255447,
-0.014996192418038845,
-0.0055084689520299435,
-0.008456737734377384,
0.11759483814239502,
0.0019781948067247868,
-0.00003203588494216092,
0.03285035118460655,
-0.10292727500200272,
-0.0498058944940567,
0.037036068737506866,
0.024023305624723434,
0.07886821031570435,
-0.054552674293518066,
-0.0114905321970582,
0.034121010452508926,
-0.027067793533205986,
0.03583928197622299,
-0.011790481396019459,
0.045325495302677155,
0.024611221626400948,
-0.04423078894615173,
-0.03461571782827377,
-0.04530724138021469,
0.024551132693886757,
-0.0429711751639843,
-0.032130833715200424,
0.014151846058666706,
0.03510069474577904,
-0.027768341824412346,
0.014071187935769558,
-0.0324317067861557,
-0.024937978014349937,
-0.0450565442442894,
-0.007882158271968365,
-0.016368726268410683,
-0.04560835659503937,
-0.013634334318339825,
-0.0183610487729311,
0.003298218594864011,
-0.02263045310974121,
0.025743724778294563,
-0.025498049333691597,
0.10482550412416458,
0.08181943744421005,
-0.02788509801030159,
0.004709998611360788,
0.04320776090025902,
0.023289944976568222,
-0.029685460031032562,
-0.006798871792852879,
-0.031123727560043335,
-0.011184729635715485,
-0.036096472293138504,
0.017248094081878662,
0.023150181397795677,
0.03589387238025665,
-0.07415276765823364,
0.008068970404565334,
0.07650235295295715,
-0.03739013522863388,
0.050907790660858154,
-0.0281835850328207,
0.020000766962766647,
0.04711277410387993,
-0.0236137006431818,
-0.06346383690834045,
-0.01887478679418564,
-0.025286007672548294,
0.001428211573511362,
-0.004228691570460796,
-0.005924484692513943,
0.02575749158859253,
-0.07353931665420532,
-0.04873811826109886,
0.003912477288395166,
0.047983359545469284,
0.03647328540682793,
-0.01114609744399786,
-0.021869417279958725,
0.001704479451291263,
-0.012784173712134361,
-0.012548942118883133,
-0.09512597322463989,
-0.013687153346836567,
-0.019664078950881958,
0.04082389175891876,
0.034069523215293884,
0.02491901069879532,
0.027820831164717674,
0.002711088629439473,
-0.012196694500744343,
-0.03918195143342018,
0.00964384712278843,
0.017005668953061104,
0.009963126853108406,
-0.04496828466653824,
0.010571812279522419,
0.02972063608467579,
0.06848833709955215,
-0.03894566372036934,
-0.04347117617726326,
-0.04138828068971634,
-0.026179026812314987,
-0.03769049793481827,
-0.03688616678118706,
-0.009780516847968102,
0.016550594940781593,
0.007873802445828915,
0.016874661669135094,
-0.05253101512789726,
0.03025911934673786,
0.008934246376156807,
0.01868242770433426,
0.03460961952805519,
0.03557728976011276,
-0.006344572175294161,
-0.0003399700508452952,
0.0287485234439373,
0.002187941689044237,
-0.04412505775690079,
0.023340417072176933,
0.0020276913419365883,
0.0031474216375499964,
0.019757628440856934,
-0.005237398203462362,
-0.2669212818145752,
-0.006029640324413776,
-0.008804937824606895,
0.003118828171864152,
0.06349711865186691,
-0.013116355985403061,
0.02138081006705761,
-0.011151701211929321,
-0.01091286726295948,
-0.029254436492919922,
-0.009281240403652191,
0.050328049808740616,
0.013155024498701096,
0.018623167648911476,
0.028675757348537445,
0.0265277661383152,
0.0119436951354146,
-0.030489079654216766,
0.006404968444257975,
0.018690787255764008,
0.0177638977766037,
-0.06878215074539185,
-0.01807711459696293,
0.03482595458626747,
-0.03241589292883873,
-0.04037756845355034,
-0.06665467470884323,
-0.015184372663497925,
-0.027211038395762444,
-0.013127734884619713,
-0.04118116945028305,
-0.008423605933785439,
-0.0011625088518485427,
0.02063717320561409,
0.03053244762122631,
0.025157926604151726,
0.011806510388851166,
-0.010013406164944172,
0.003911231178790331,
0.02381940186023712,
0.010193162597715855,
-0.0136943394318223,
-0.009266149252653122,
-0.016435177996754646,
0.03892569616436958,
0.03273732587695122,
0.013894186355173588,
0.019408777356147766,
-0.0467396154999733,
0.07745759934186935,
-0.015422794967889786,
-0.044686026871204376,
0.02062704786658287,
-0.0038870081771165133,
0.02970929630100727,
0.003963235300034285,
-0.010513692162930965,
0.021452967077493668,
-0.03222820535302162,
0.03550371527671814,
0.005804428365081549,
-0.05584246665239334,
-0.025245346128940582,
0.009153603576123714,
-0.028139937669038773,
-0.04241647571325302,
-0.05367785692214966,
-0.04746733233332634,
0.007207311224192381,
0.048998672515153885,
0.009897550567984581,
0.02615811675786972,
-0.02308441884815693,
-0.09584867209196091,
0.0328969731926918,
-0.033455997705459595,
0.036639172583818436,
-0.019994229078292847,
0.011639854870736599,
0.022251224145293236,
-0.03432336449623108,
-0.007149664219468832,
0.012391339056193829,
0.07880087941884995,
0.018070850521326065,
-0.020795490592718124,
0.005335240624845028,
-0.04110107943415642,
-0.04304882138967514,
-0.04624641686677933,
0.018421169370412827,
-0.04543888568878174,
0.028055133298039436,
-0.018343858420848846,
0.042537394911050797,
-0.015725720673799515,
-0.01793818175792694,
0.04736056551337242,
0.004686473868787289,
-0.011455184780061245,
0.053899165242910385,
-0.043713826686143875,
0.020736360922455788,
-0.028413260355591774,
-0.03263521566987038,
-0.023507829755544662,
-0.04994684457778931,
-0.0328698605298996,
0.03740064427256584,
0.012516520917415619,
-0.007025929167866707,
-0.0399397611618042,
-0.000059564514231169596,
-0.02016768604516983,
-0.003237121971324086,
-0.03654061630368233,
0.03791894018650055,
0.03861229121685028,
0.011859001591801643,
-0.036820556968450546,
-0.030487684532999992,
0.07842805236577988,
-0.01731596514582634,
-0.01355457678437233,
-0.016201188787817955,
0.009146872907876968,
-0.01421201229095459,
0.0051771667785942554,
0.01553928293287754,
0.024118758738040924,
0.003529536770656705,
0.05209581181406975,
-0.035106111317873,
-0.012662163004279137,
0.06170835345983505,
0.028804384171962738,
-0.05119479447603226,
-0.0047905235551297665,
-0.006724681705236435,
-0.01579124480485916,
0.02476615644991398,
0.008066784590482712,
0.04964636266231537,
-0.013891717419028282,
0.0569528229534626,
0.032079920172691345,
0.0478237122297287,
0.027882402762770653,
0.017107604071497917,
0.00529943173751235,
-0.00985165499150753,
-0.007919052615761757,
-0.025840315967798233,
-0.016098985448479652,
-0.014565078541636467,
-0.028584977611899376,
0.021049335598945618,
0.015249388292431831,
0.005147078540176153,
-0.07929950207471848,
0.016112718731164932,
-0.007771552540361881,
0.013045732863247395,
-0.002592479344457388,
0.004602400586009026,
0.07978317141532898,
-0.020431872457265854,
-0.015575816854834557,
-0.0030678908806294203,
-0.004602345637977123,
0.006297779735177755,
-0.02232360653579235,
-0.021975060924887657,
0.000008472872650600038,
-0.05795706808567047,
0.025072475895285606,
0.0064500849694013596,
-0.016068393364548683,
-0.05159692093729973,
-0.003733814926818013,
0.0247507244348526,
-0.026143282651901245,
0.014124172739684582,
0.019568972289562225,
0.06723342090845108,
-0.03445291519165039,
-0.03962297737598419,
-0.02476935274899006,
-0.005216206423938274,
0.004215929191559553,
-0.002229918260127306,
0.008476540446281433,
-0.02736927568912506,
-0.05162971466779709,
-0.034283094108104706,
-0.05762714520096779,
0.035315949469804764,
0.04835284873843193,
0.0019003074849024415,
0.006037441082298756,
0.038391951471567154,
0.022483965381979942,
-0.027430938556790352,
0.037396855652332306,
0.017523087561130524,
-0.07341349869966507,
0.02732318453490734,
0.06828339397907257,
0.032738763839006424,
0.008256981149315834,
-0.013138148002326488,
-0.05005013197660446,
-0.031310517340898514,
-0.0017552073113620281,
0.0070334188640117645,
0.028888268396258354,
0.013294157572090626,
0.006592859979718924,
-0.01864231377840042,
-0.007852606475353241,
0.014210683293640614,
-0.003055002773180604,
-0.011056391522288322,
-0.028524812310934067,
0.011127102188766003,
0.028112849220633507,
-0.03214017301797867,
0.03519749268889427,
0.011355928145349026,
-0.038482025265693665,
0.06839100271463394,
-0.05073033273220062,
0.019569383934140205,
0.020183149725198746,
0.01450281497091055,
0.002873298479244113,
-0.010775725357234478,
0.022375648841261864,
0.011024165898561478,
0.0005528762121684849,
-0.021238770335912704,
-0.006885937415063381,
-0.02285102754831314,
-0.007386472541838884,
-0.006045985501259565,
0.05188142880797386,
0.0339406318962574,
-0.0016600354574620724,
-0.0204023290425539,
0.07999180257320404,
0.0180192980915308,
0.01701872982084751,
-0.03215795010328293,
-0.0049546766094863415,
0.04025958850979805,
-0.012203826569020748,
-0.03290896117687225,
-0.06574646383523941,
-0.03755589574575424,
0.024027295410633087,
-0.010440194979310036,
0.04837344214320183,
-0.06094269081950188,
0.04694444313645363,
0.02497292496263981,
0.016987193375825882,
-0.009152784012258053,
-0.07376164197921753,
0.0452168770134449,
-0.034462105482816696,
0.018244879320263863,
-0.05906446650624275,
0.044826798141002655,
0.06559325009584427,
-0.00524547602981329,
0.008372003212571144,
0.009519311599433422,
-0.045166969299316406,
0.024253660812973976,
-0.046829674392938614,
-0.0428316667675972,
0.041942011564970016,
-0.019349293783307076,
0.02192947454750538,
0.06414737552404404,
-0.04181373119354248,
-0.0667085200548172,
-0.04120643809437752,
-0.04499372839927673,
-0.02764040231704712,
0.03910598158836365,
0.05198056995868683,
-0.021984107792377472,
-0.01583114080131054,
-0.04156899452209473,
0.0709715262055397,
0.0032863023225218058,
0.020992277190089226,
-0.024701066315174103,
0.021189194172620773,
-0.006081477738916874,
0.09428402036428452,
0.07066163420677185,
-0.0017319942126050591,
-0.0153758330270648,
-0.0003902557073161006,
-0.025088990107178688,
-0.011310357600450516,
0.022184524685144424,
-0.006501523777842522,
0.0029948907904326916,
-0.048963017761707306,
0.045205458998680115,
0.011691348627209663,
-0.09359143674373627,
-0.004987705964595079,
0.039453860372304916,
-0.03095083311200142,
-0.031519681215286255,
0.010553556494414806,
0.02176925167441368,
0.0014566502068191767,
0.034129608422517776,
-0.005090462043881416,
0.03319309651851654,
0.0487731471657753,
0.011218125000596046,
-0.0042602261528372765,
-0.049910929054021835,
0.07165241986513138,
0.080556720495224,
0.00004166832150076516,
0.004190776962786913,
0.05767623707652092,
0.004518305417150259,
-0.03089984506368637,
-0.014525027945637703,
0.020857764407992363,
-0.001457944861613214,
-0.054376013576984406,
0.019047897309064865,
0.033496446907520294,
0.05205871909856796,
0.06987469643354416,
-0.021755347028374672,
-0.01105127390474081,
-0.010813102126121521,
-0.0051383525133132935,
0.037817493081092834,
0.044164128601551056,
0.03315666317939758,
0.015543031506240368,
-0.002132044406607747,
-0.02494152821600437,
-0.018510662019252777,
-0.020080508664250374,
0.012397415935993195,
-0.0027247227262705564,
-0.019408121705055237,
-0.0016048254910856485,
-0.028816279023885727,
-0.013993754982948303,
0.06978064030408859,
-0.02002670057117939,
-0.018393680453300476,
-0.0035025752149522305,
0.05453498288989067,
-0.024433843791484833,
0.020130036398768425,
0.015738466754555702,
0.011960598640143871,
0.01313575729727745,
-0.04736820608377457,
0.018582036718726158,
0.003869272070005536,
-0.02779790572822094,
0.03025520034134388,
-0.004116114694625139,
-0.012900768779218197,
0.00029303866904228926,
-0.005852647125720978,
-0.07221408188343048,
-0.04970381408929825,
-0.008769359439611435,
-0.04438811540603638,
-0.05203105881810188,
-0.03995296731591225,
0.004966896492987871,
-0.0535682737827301,
-0.06289103627204895,
0.03920687362551689,
-0.01214782427996397,
0.007968375459313393,
-0.008551872335374355,
-0.04581625387072563,
-0.013448309153318405,
0.09428651630878448,
0.021886302158236504,
-0.004817608743906021,
0.005128476768732071,
0.02156231366097927,
0.0029843351803719997,
-0.009256373159587383,
0.03706473484635353,
0.0032633799128234386,
0.04347344860434532,
0.008094259537756443,
0.03532956540584564,
-0.08892844617366791,
0.034495674073696136,
0.02165890298783779,
-0.01401575654745102,
-0.079400934278965,
0.020955491811037064,
-0.02314290590584278,
0.034034114331007004,
0.03289921581745148,
0.003985196352005005,
-0.00869944877922535,
-0.08300242573022842,
0.018005050718784332,
0.04117325320839882,
-0.013832168653607368,
0.035495031625032425,
-0.03694840520620346,
0.06678289920091629,
-0.004897307138890028,
0.01738995872437954,
-0.04933897405862808,
-0.0014869874576106668,
0.024078143760561943,
0.003182913875207305,
-0.021077172830700874,
-0.02207411825656891,
-0.07684623450040817,
-0.10434490442276001,
0.0022456366568803787,
0.05589384213089943,
-0.01741630770266056,
-0.03607991337776184,
-0.03043198399245739,
0.030856706202030182,
0.01323910616338253,
-0.020241212099790573,
-0.01233589369803667,
-0.035783324390649796,
-0.05040903389453888,
-0.044267475605010986,
-0.08334683626890182,
-0.014270296320319176,
-0.013599233701825142,
0.03083234280347824,
-0.030161170288920403,
-0.022777723148465157,
0.01995188184082508,
-0.028397394344210625,
0.05279369279742241,
0.038597222417593,
0.030473915860056877,
0.01641594059765339
] | null |
596 |
Sparse Autoencoders for Hypothesis Generation
|
https://openreview.net/forum?id=4R0pugRyN5
|
[
"Rajiv Movva",
"Kenny Peng",
"Nikhil Garg",
"Jon Kleinberg",
"Emma Pierson"
] |
Poster
|
We describe HypotheSAEs, a general method to hypothesize interpretable relationships between text data (e.g., headlines) and a target variable (e.g., clicks). HypotheSAEs has three steps: (1) train a sparse autoencoder on text embeddings to produce interpretable features describing the data distribution, (2) select features that predict the target variable, and (3) generate a natural language interpretation of each feature (e.g., *mentions being surprised or shocked*) using an LLM. Each interpretation serves as a hypothesis about what predicts the target variable. Compared to baselines, our method better identifies reference hypotheses on synthetic datasets (at least +0.06 in F1) and produces more predictive hypotheses on real datasets (~twice as many significant findings), despite requiring 1-2 orders of magnitude less compute than recent LLM-based methods. HypotheSAEs also produces novel discoveries on two well-studied tasks: explaining partisan differences in Congressional speeches and identifying drivers of engagement with online headlines.
|
interpretability, hypothesis generation, sparse autoencoders, computational social science, topic modeling
|
We propose HypotheSAEs, a sparse autoencoder-based method to hypothesize interpretable relationships between input texts and a target variable; we show our method performs well on several computational social science datasets.
| 12,839 |
2502.04382
|
[
0.02547413483262062,
-0.017088405787944794,
-0.021432001143693924,
0.06481173634529114,
0.04532461613416672,
0.03426634147763252,
0.027803022414445877,
-0.01275231596082449,
-0.026918398216366768,
-0.015497120097279549,
0.01122607197612524,
0.010134858079254627,
-0.08152557909488678,
0.013638335280120373,
-0.015557970851659775,
0.056466639041900635,
0.025331350043416023,
0.02059943415224552,
0.004496115259826183,
-0.0007348185172304511,
0.01013168040663004,
-0.02426883950829506,
0.022482501342892647,
0.0020063426345586777,
0.06121829152107239,
-0.0019147861748933792,
0.02505616284906864,
-0.017687777057290077,
-0.01269690040498972,
0.02628425695002079,
0.026841415092349052,
0.025451023131608963,
0.008472858928143978,
-0.038229599595069885,
0.0051409839652478695,
0.02188325673341751,
-0.02399049513041973,
0.0023449729196727276,
0.01982157677412033,
-0.0006294732447713614,
-0.04560253024101257,
-0.006385969929397106,
-0.02516167052090168,
0.009601586498320103,
-0.06475500017404556,
-0.017559686675667763,
-0.1186147928237915,
0.03395642712712288,
0.004117205739021301,
-0.003320579184219241,
-0.07719186693429947,
0.04374484345316887,
-0.004830383695662022,
-0.007251334842294455,
0.010889619588851929,
0.055622659623622894,
0.043312203139066696,
-0.08439971506595612,
0.0023246249184012413,
-0.041214000433683395,
-0.04209379106760025,
0.025742413476109505,
0.02998649887740612,
0.005208886694163084,
0.013381868600845337,
-0.020071497187018394,
-0.0027826072182506323,
0.03639914095401764,
-0.05693652108311653,
-0.03059449978172779,
-0.027807021513581276,
0.018508408218622208,
-0.02006802149116993,
-0.00425370316952467,
-0.008788391016423702,
-0.02611006610095501,
0.03472896292805672,
0.03412555158138275,
0.07118386775255203,
-0.012992960400879383,
0.008365664631128311,
0.0176724623888731,
0.021062767133116722,
0.04252399876713753,
0.026233524084091187,
0.004062481224536896,
-0.01653081737458706,
-0.009448893368244171,
-0.06463398039340973,
0.019811199977993965,
-0.01787860505282879,
-0.0581633523106575,
0.02043106034398079,
0.03880707919597626,
-0.003914578352123499,
0.01803334429860115,
0.08263687044382095,
-0.011110616847872734,
-0.017054200172424316,
-0.015851862728595734,
-0.027376368641853333,
-0.008486232720315456,
0.05863422527909279,
0.015122880227863789,
-0.1131194606423378,
0.012047086842358112,
-0.024863742291927338,
-0.017463551834225655,
-0.01659410446882248,
-0.031166670843958855,
0.0018398502143099904,
-0.01314828172326088,
-0.002569788135588169,
0.012191720306873322,
-0.06401890516281128,
0.02510797791182995,
0.021678725257515907,
0.009313836693763733,
0.01791573129594326,
0.0060488940216600895,
0.030564209446310997,
0.047094084322452545,
0.018815213814377785,
0.07862098515033722,
-0.05035575106739998,
0.026056531816720963,
0.014853405766189098,
0.02089640498161316,
-0.015330011956393719,
-0.02525525726377964,
-0.005163467954844236,
0.011523399502038956,
-0.00016241258708760142,
-0.012248538434505463,
-0.005900326184928417,
0.014364071190357208,
-0.010398211888968945,
0.010647843591868877,
0.06249774992465973,
0.028792664408683777,
0.009286481887102127,
-0.002010017167776823,
0.0746389701962471,
-0.03759920224547386,
0.06783565133810043,
-0.029264194890856743,
-0.004639874678105116,
-0.009868891909718513,
-0.04561096057295799,
0.018354296684265137,
0.05162864923477173,
-0.007905649952590466,
0.008520406670868397,
-0.04706854745745659,
0.03917926177382469,
0.031146476045250893,
0.01888941042125225,
-0.023679541423916817,
0.04275783151388168,
0.05260444059967995,
0.02772749401628971,
0.012385213747620583,
-0.04942118749022484,
-0.02335631288588047,
-0.017981072887778282,
-0.06720437109470367,
0.019841810688376427,
0.01315787062048912,
-0.06585020571947098,
-0.002956220181658864,
-0.020208876579999924,
-0.029818696901202202,
0.06427722424268723,
0.0038180709816515446,
-0.023601744323968887,
0.011325997300446033,
0.02758328802883625,
0.025634033605456352,
0.06886773556470871,
0.05745726078748703,
-0.08456406742334366,
0.03284693509340286,
-0.01683313213288784,
-0.029706111177802086,
0.016190584748983383,
-0.028071783483028412,
0.07788193970918655,
-0.03164864331483841,
0.013057162053883076,
0.009209318086504936,
-0.0685843676328659,
-0.04902837797999382,
0.006672123912721872,
0.0073995329439640045,
0.03658774495124817,
-0.012431834824383259,
0.009577097371220589,
0.064098060131073,
0.013968333601951599,
0.0374680832028389,
0.036609333008527756,
-0.011359073221683502,
0.046835899353027344,
0.02077970653772354,
-0.039328861981630325,
-0.01851741224527359,
0.027021832764148712,
-0.04436579719185829,
-0.07619021832942963,
0.023434605449438095,
-0.017143040895462036,
0.01432845275849104,
0.010782793164253235,
-0.023213021457195282,
0.012678449042141438,
0.031394362449645996,
0.01618923246860504,
0.008462215773761272,
0.006214787717908621,
-0.030103012919425964,
0.04436879977583885,
0.0006751988548785448,
-0.017669185996055603,
0.012123971246182919,
-0.05329640209674835,
0.08896444737911224,
0.06394398957490921,
-0.024901416152715683,
-0.02081422321498394,
0.02214352786540985,
0.030997853726148605,
0.02102692611515522,
0.023972533643245697,
-0.05433817580342293,
-0.017749840393662453,
0.011950518935918808,
0.007244872860610485,
-0.03407258540391922,
0.04858914390206337,
-0.044263966381549835,
0.014577103778719902,
0.07442079484462738,
-0.02650424651801586,
0.05425281450152397,
-0.012180020101368427,
0.042639534920454025,
0.029689477756619453,
-0.025870412588119507,
-0.025366785004734993,
-0.04902214556932449,
0.012232383713126183,
-0.0007004484650678933,
-0.03461326286196709,
-0.013902265578508377,
0.018482452258467674,
-0.03051736392080784,
-0.026715843006968498,
0.005251176655292511,
0.08042328804731369,
0.031887393444776535,
0.004538519773632288,
0.008909960277378559,
0.013003564439713955,
-0.03768391162157059,
0.050360094755887985,
-0.08777908235788345,
-0.0435023196041584,
-0.05195925012230873,
-0.014359017834067345,
0.00039739772910252213,
0.07146801799535751,
-0.020257791504263878,
0.00429576588794589,
-0.007006667088717222,
-0.020951444283127785,
-0.03266504406929016,
0.043755270540714264,
-0.014659329317510128,
-0.038864824920892715,
-0.03803431987762451,
-0.008570076897740364,
0.07646605372428894,
-0.027364302426576614,
-0.019595522433519363,
-0.0454055517911911,
-0.08701328933238983,
-0.03919681906700134,
-0.02599441260099411,
-0.006839274428784847,
0.016778837889432907,
0.005442840978503227,
0.0004745124897453934,
0.004291027318686247,
-0.000922545965295285,
0.04746614769101143,
0.04330511763691902,
0.04479697346687317,
-0.0072487941943109035,
-0.015620047226548195,
0.018685342743992805,
-0.0254527498036623,
0.02272973209619522,
-0.0033156501594930887,
-0.0033450364135205746,
-0.00671838503330946,
-0.008831609971821308,
0.0180421881377697,
0.003042443422600627,
-0.27603471279144287,
-0.015435416251420975,
0.013688508421182632,
-0.050052277743816376,
0.04164942353963852,
-0.0650390014052391,
0.018703626468777657,
-0.03392946720123291,
-0.01504576951265335,
-0.0024491404183208942,
0.017041083425283432,
0.014242817647755146,
-0.011066514998674393,
0.028086796402931213,
0.021376406773924828,
0.015993809327483177,
0.019710423424839973,
-0.017253469675779343,
0.009872455149888992,
0.04901956766843796,
-0.012648751959204674,
-0.02510315738618374,
-0.0008298765169456601,
0.06457807868719101,
-0.006330374628305435,
0.05800811946392059,
-0.044657714664936066,
-0.008561624214053154,
-0.0383027158677578,
-0.008103832602500916,
-0.004909392911940813,
-0.026138601824641228,
-0.01789478212594986,
0.03394749015569687,
-0.013741187751293182,
0.03277037292718887,
0.035648051649332047,
0.014448601752519608,
0.0055983103811740875,
0.07024636119604111,
-0.029603343456983566,
-0.047311827540397644,
-0.03363817557692528,
-0.039535898715257645,
0.04782349616289139,
-0.0046644373796880245,
-0.004525246564298868,
-0.004804134368896484,
-0.02397751435637474,
0.005620001349598169,
-0.023252107203006744,
0.008558910340070724,
-0.023517277091741562,
-0.0056135691702365875,
0.01055203191936016,
-0.028946302831172943,
0.0011010639136657119,
0.01108997780829668,
-0.01978275179862976,
-0.018004346638917923,
0.00452849455177784,
-0.03370968997478485,
0.006258762441575527,
-0.0716373547911644,
-0.03971383720636368,
-0.033363837748765945,
-0.057823460549116135,
-0.048560526221990585,
0.039700888097286224,
0.03240653872489929,
-0.021949976682662964,
0.038566164672374725,
-0.01854703016579151,
-0.09327501803636551,
0.042596425861120224,
0.0015865734312683344,
-0.01548781432211399,
0.009891525842249393,
-0.006859262008219957,
0.015450764447450638,
-0.03844289481639862,
-0.012354770675301552,
-0.011614996008574963,
-0.006388024892657995,
0.04178009182214737,
-0.03064739517867565,
0.03733425214886665,
-0.03148173913359642,
-0.04502825438976288,
-0.038051217794418335,
0.006934861186891794,
-0.03758421540260315,
0.04279153421521187,
0.03800477087497711,
0.01175831351429224,
0.06324838846921921,
0.012688132002949715,
0.068778857588768,
0.025007162243127823,
0.002896295627579093,
-0.002685536863282323,
-0.04869242012500763,
-0.00975488405674696,
-0.062390200793743134,
-0.026233715936541557,
0.004546853713691235,
-0.0630585253238678,
-0.030897974967956543,
0.04069572687149048,
-0.0005459690000861883,
-0.037486687302589417,
-0.018669497221708298,
0.00562594598159194,
0.025638995692133904,
-0.0020986408926546574,
-0.028419198468327522,
-0.009790551848709583,
0.013319352641701698,
0.014973033219575882,
-0.017088107764720917,
-0.04189850017428398,
0.04220632463693619,
-0.0014410736039280891,
0.0037715111393481493,
-0.02524869330227375,
-0.034298740327358246,
-0.005361825693398714,
-0.015985241159796715,
-0.007367441430687904,
-0.001114207785576582,
0.048521820455789566,
-0.014681190252304077,
0.0054708439856767654,
0.027928505092859268,
0.06177768111228943,
-0.027854297310113907,
-0.020057354122400284,
-0.02660244330763817,
0.012972394935786724,
0.03669962286949158,
0.0042386422865092754,
-0.04799482598900795,
0.01343059167265892,
0.03510569781064987,
0.05691099539399147,
0.0070413826033473015,
-0.0050021447241306305,
0.046282414346933365,
-0.029057953506708145,
-0.019507361575961113,
0.008908040821552277,
-0.015567165799438953,
-0.02664785087108612,
-0.021698256954550743,
0.013759251683950424,
-0.011651000007987022,
0.0497414655983448,
0.011141814291477203,
-0.023335803300142288,
-0.055381037294864655,
0.059055037796497345,
-0.033768072724342346,
0.00047532221651636064,
-0.003176391590386629,
0.0024145757779479027,
0.01634606532752514,
-0.032034650444984436,
-0.0005463421694003046,
0.028078917413949966,
0.017815908417105675,
0.019328992813825607,
-0.02376772277057171,
-0.018288791179656982,
0.008407755754888058,
-0.032679423689842224,
-0.022971373051404953,
-0.0052361758425831795,
-0.0060426159761846066,
-0.032058920711278915,
0.058315083384513855,
0.028581788763403893,
-0.0328080840408802,
-0.0003538664896041155,
0.024383841082453728,
0.08304694294929504,
0.03411363065242767,
0.016499662771821022,
-0.01778782159090042,
-0.029539402574300766,
0.0393640473484993,
-0.0094063775613904,
-0.01582588627934456,
-0.025127500295639038,
-0.047755166888237,
-0.05011410638689995,
-0.05077410861849785,
-0.00011152264778502285,
-0.0028379266150295734,
0.000878651742823422,
-0.01368327159434557,
-0.010414063930511475,
-0.025926882401108742,
-0.046372685581445694,
-0.018492789939045906,
0.004657865036278963,
-0.09422323852777481,
0.020229658111929893,
0.010984819382429123,
-0.02156495861709118,
0.03529921546578407,
-0.02228708192706108,
-0.06304988265037537,
-0.04508456960320473,
-0.00902295671403408,
0.023064445704221725,
-0.02167702652513981,
-0.013942302204668522,
-0.009806872345507145,
0.0037110603880137205,
-0.01433001272380352,
0.023120371624827385,
-0.03626304864883423,
-0.007813283242285252,
-0.010681071318686008,
0.022004520520567894,
0.02486671321094036,
-0.015570358373224735,
-0.04386884346604347,
0.003824956249445677,
-0.040466371923685074,
0.013936435803771019,
-0.01765226013958454,
0.03565479815006256,
0.08421831578016281,
0.008571011014282703,
-0.007112969644367695,
-0.02229967899620533,
0.020004574209451675,
0.01963859610259533,
0.008332349359989166,
0.002061724429950118,
0.013572027906775475,
-0.036325059831142426,
-0.012993249110877514,
0.009300858713686466,
0.05955959111452103,
0.0006846929900348186,
0.006046870723366737,
0.005758732091635466,
0.02823268249630928,
0.03583698347210884,
0.0384981632232666,
-0.04411333426833153,
-0.014983810484409332,
0.058443035930395126,
-0.020183777436614037,
-0.04154692962765694,
-0.04910190403461456,
-0.02357601374387741,
-0.021529274061322212,
0.02062796615064144,
-0.014219268225133419,
0.010569991543889046,
0.04791441559791565,
0.01482435967773199,
0.013489064760506153,
-0.008375202305614948,
0.020935293287038803,
0.05932058393955231,
-0.02407267317175865,
-0.023273035883903503,
-0.0529516376554966,
-0.04160172864794731,
0.0974518209695816,
-0.03050937131047249,
0.028377996757626534,
-0.002718424890190363,
-0.03259803727269173,
0.018341341987252235,
-0.016387322917580605,
-0.032297663390636444,
0.020542414858937263,
-0.048253513872623444,
0.009166070260107517,
0.041239917278289795,
-0.05638449639081955,
-0.016130536794662476,
0.0020088236778974533,
-0.04397749528288841,
-0.036198556423187256,
-0.00983621645718813,
0.05937834829092026,
-0.035382792353630066,
-0.03589501231908798,
-0.01903519034385681,
0.028880441561341286,
0.01279139332473278,
0.06657356768846512,
0.0361797921359539,
0.021784190088510513,
-0.049691662192344666,
0.07255334407091141,
0.025859054177999496,
0.00164323253557086,
-0.04398525878787041,
0.006234478205442429,
-0.033827126026153564,
-0.07773955166339874,
0.06479163467884064,
0.005206831265240908,
-0.024935182183980942,
-0.04671837389469147,
0.05382167175412178,
0.04371219873428345,
-0.04827191308140755,
-0.012310320511460304,
0.019661175087094307,
-0.010669447481632233,
-0.010926266200840473,
0.014437021687626839,
-0.01862587220966816,
-0.0026173200458288193,
0.06954975426197052,
-0.0024898890405893326,
0.04885173588991165,
0.06251318752765656,
0.01042370405048132,
0.029886698350310326,
-0.020572971552610397,
0.07396244257688522,
0.058607183396816254,
0.04733236879110336,
0.007513933815062046,
0.06827527284622192,
-0.029378211125731468,
-0.07478206604719162,
0.020895270630717278,
0.02845730260014534,
0.010377309285104275,
-0.03949909284710884,
0.028546374291181564,
0.06104322150349617,
0.026792174205183983,
0.044548921287059784,
-0.03273482993245125,
-0.0023101798724383116,
0.011355791240930557,
0.014554101042449474,
0.022690076380968094,
0.03213922306895256,
0.043791741132736206,
0.013034433126449585,
-0.04862184077501297,
-0.016498766839504242,
-0.0223214291036129,
-0.03583404794335365,
0.01649435982108116,
0.06398460268974304,
-0.016456589102745056,
0.0068090856075286865,
-0.020892925560474396,
0.05838726460933685,
0.11662103235721588,
0.003697664011269808,
-0.010046468116343021,
0.016328370198607445,
0.022873464971780777,
0.01920061931014061,
0.05528953671455383,
-0.028125034645199776,
-0.01900283806025982,
-0.008632706478238106,
-0.07197973132133484,
0.010876045562326908,
0.001646561548113823,
-0.004741103854030371,
0.013543425127863884,
-0.037637293338775635,
-0.04127032309770584,
-0.012860619463026524,
0.04898517578840256,
-0.04524841159582138,
-0.04666006565093994,
-0.015532249584794044,
-0.0173038262873888,
-0.04033629968762398,
-0.03949157893657684,
0.04597369208931923,
-0.012995564378798008,
-0.03880686312913895,
-0.008303595706820488,
-0.03366786986589432,
0.0026497668586671352,
0.03814909979701042,
-0.055939752608537674,
0.03698580339550972,
0.030532382428646088,
0.0242645014077425,
-0.016592759639024734,
0.01606333628296852,
0.005095265340059996,
-0.0004516800108831376,
-0.024450959637761116,
0.041994914412498474,
0.0031774709932506084,
0.042886748909950256,
0.0086270272731781,
-0.02151080220937729,
-0.08276943117380142,
-0.006595362909138203,
-0.009599527344107628,
-0.0331667996942997,
-0.07541348040103912,
0.04543743282556534,
-0.002048550406470895,
0.0398905873298645,
0.07981865853071213,
0.03208504617214203,
0.014701861888170242,
0.0009425575262866914,
-0.03853532299399376,
0.0198576170951128,
0.0162799172103405,
0.056921809911727905,
-0.02056535705924034,
0.06447551399469376,
0.047664936631917953,
-0.021758707240223885,
-0.029310988262295723,
-0.013522155582904816,
-0.02186778001487255,
-0.011233814992010593,
0.014130606316030025,
-0.03707754239439964,
-0.024127718061208725,
-0.10327856242656708,
-0.053033702075481415,
0.0338599793612957,
-0.027827465906739235,
-0.013917255215346813,
0.003120281035080552,
-0.021406207233667374,
-0.038534972816705704,
-0.0034916747827082872,
0.009065480902791023,
-0.011046767234802246,
-0.02228713035583496,
-0.05150667205452919,
-0.06836377829313278,
0.02244572527706623,
-0.017304304987192154,
-0.0016559072537347674,
-0.07833665609359741,
-0.03295302391052246,
0.008418302983045578,
-0.005976689513772726,
0.054113008081912994,
-0.0064586494117975235,
0.028967469930648804,
-0.019467832520604134
] |
https://github.com/rmovva/HypotheSAEs
|
597 |
Implicit Bias of Gradient Descent for Non-Homogeneous Deep Networks
|
https://openreview.net/forum?id=ruSU7xtH6v
|
[
"Yuhang Cai",
"Kangjie Zhou",
"Jingfeng Wu",
"Song Mei",
"Michael Lindsey",
"Peter Bartlett"
] |
Poster
|
We establish the asymptotic implicit bias of gradient descent (GD) for generic non-homogeneous deep networks under exponential loss. Specifically, we characterize three key properties of GD iterates starting from a sufficiently small empirical risk, where the threshold is determined by a measure of the network's non-homogeneity. First, we show that a normalized margin induced by the GD iterates increases nearly monotonically. Second, we prove that while the norm of the GD iterates diverges to infinity, the iterates themselves converge in direction. Finally, we establish that this directional limit satisfies the Karush–Kuhn–Tucker (KKT) conditions of a margin maximization problem. Prior works on implicit bias have focused exclusively on homogeneous networks; in contrast, our results apply to a broad class of non-homogeneous networks satisfying a mild near-homogeneity condition. In particular, our results apply to networks with residual connections and non-homogeneous activation functions, thereby resolving an open problem posed byJi & Telgarsky (2020).
|
Implicit bias, Non-homogeneous model, Deep neural networks, Gradient descent
| null | 12,836 |
2502.16075
|
[
-0.026509327813982964,
-0.02224324271082878,
-0.009393186308443546,
0.05440544709563255,
-0.008870397694408894,
0.035962581634521484,
0.03165562450885773,
0.017671026289463043,
-0.011547770351171494,
-0.024558261036872864,
0.011094656772911549,
-0.008803408592939377,
-0.06672971695661545,
0.010562448762357235,
0.0061181895434856415,
0.058946844190359116,
0.059685349464416504,
-0.020948803052306175,
-0.01858295500278473,
0.030023178085684776,
0.007611465640366077,
-0.023348672315478325,
0.030277634039521217,
0.011969954706728458,
0.04676181823015213,
-0.02128504030406475,
0.00495673343539238,
-0.010864976793527603,
-0.0047536916099488735,
0.015389948152005672,
0.023756062611937523,
0.016253286972641945,
0.020315980538725853,
-0.027133435010910034,
0.024273233488202095,
0.05049591511487961,
-0.03447921201586723,
0.015017674304544926,
0.02927701734006405,
0.0384896956384182,
-0.04769022390246391,
-0.009899954311549664,
-0.046287067234516144,
0.03898021951317787,
-0.06196879222989082,
0.02234433963894844,
-0.11613289266824722,
0.0027487806510180235,
-0.004273154307156801,
-0.02778581902384758,
-0.09999237209558487,
0.04164645075798035,
0.004491806495934725,
-0.011426822282373905,
-0.013310777023434639,
0.04319123178720474,
0.021964212879538536,
-0.05940704047679901,
-0.02293366752564907,
-0.03071972355246544,
-0.014054911211133003,
0.04162842780351639,
0.00737801706418395,
-0.013757316395640373,
0.009451593272387981,
0.0013196971267461777,
0.00793338380753994,
0.04092599079012871,
-0.05578848347067833,
-0.014704306609928608,
-0.0024055729154497385,
-0.0006169645930640399,
-0.014139421284198761,
0.03569924086332321,
-0.01423339731991291,
-0.07583650946617126,
0.00053199048852548,
0.019105855375528336,
0.08754754811525345,
0.0024765506386756897,
0.016785290092229843,
0.01823948509991169,
0.01703719049692154,
0.03940800204873085,
0.01493519265204668,
0.024271201342344284,
-0.0035408607218414545,
-0.017999965697526932,
-0.06925825029611588,
0.04322292283177376,
-0.03719433397054672,
-0.04998558759689331,
0.026489663869142532,
0.029609834775328636,
-0.0087444968521595,
-0.025141190737485886,
0.02605149708688259,
-0.0015664503443986177,
0.04118441417813301,
0.005797992926090956,
-0.017651371657848358,
-0.05998754873871803,
0.0032283056061714888,
0.008831063285470009,
-0.09427244961261749,
-0.033892519772052765,
-0.029484272003173828,
0.009607513435184956,
-0.01882159896194935,
0.005384312942624092,
-0.04699159413576126,
0.036065731197595596,
0.0014333185972645879,
-0.04321032017469406,
-0.08165954798460007,
-0.0033705043606460094,
-0.004073231015354395,
-0.005730273202061653,
-0.004987241700291634,
-0.010002050548791885,
0.06498522311449051,
0.036035433411598206,
-0.007659575901925564,
0.058536093682050705,
-0.005159410182386637,
0.05452333763241768,
-0.0049422322772443295,
0.03248482570052147,
-0.03198787569999695,
-0.04992799460887909,
0.003035482484847307,
0.021356195211410522,
0.011452913284301758,
0.012907629832625389,
-0.01633666642010212,
-0.030864035710692406,
-0.01869995892047882,
0.03664228692650795,
0.0048149749636650085,
0.013246284797787666,
-0.0018036135006695986,
-0.032230328768491745,
0.043589867651462555,
-0.032601673156023026,
0.049966782331466675,
-0.052153587341308594,
-0.00530971260741353,
-0.045118652284145355,
-0.07138597965240479,
0.004507823847234249,
0.016967209056019783,
-0.009659924544394016,
0.00956836249679327,
-0.09864789992570877,
0.0001245827879756689,
0.032060083001852036,
0.009515690617263317,
0.04069747030735016,
-0.011590549722313881,
0.017728624865412712,
0.030902255326509476,
-0.008598879911005497,
-0.0008948529721237719,
-0.0027208724059164524,
-0.006806349381804466,
-0.04372096806764603,
0.07879835367202759,
0.020717384293675423,
-0.05390555039048195,
-0.00677441107109189,
-0.024373341351747513,
-0.026005372405052185,
0.01702936179935932,
0.0016346774064004421,
-0.012437489815056324,
0.00789667572826147,
0.04852764308452606,
0.027553969994187355,
0.033311836421489716,
0.010927265509963036,
-0.09488487988710403,
0.02125338464975357,
0.03520851582288742,
0.015238222666084766,
-0.005615876987576485,
-0.019054710865020752,
0.060880038887262344,
-0.028606131672859192,
0.013162024319171906,
0.04779048636555672,
-0.0823468342423439,
0.015667736530303955,
0.015111492946743965,
-0.004611304495483637,
0.0803685337305069,
0.004460802301764488,
0.00926194991916418,
0.017817389219999313,
0.0034069602843374014,
0.027091030031442642,
0.07992721349000931,
-0.06179218739271164,
0.03688604012131691,
0.002432022476568818,
-0.0384008064866066,
0.01710846647620201,
0.04641022905707359,
-0.04729509353637695,
-0.018843669444322586,
0.0226324200630188,
-0.017373856157064438,
0.012741637416183949,
-0.021046172827482224,
0.03342359513044357,
0.012481862679123878,
-0.004204444587230682,
-0.007803648244589567,
0.007699062116444111,
0.011362886987626553,
-0.04795611649751663,
0.05032516270875931,
0.011983630247414112,
-0.007986837066709995,
0.01261270884424448,
-0.002269538352265954,
0.09001657366752625,
0.0725361555814743,
-0.03454039618372917,
0.013377266936004162,
0.016887884587049484,
0.01640540547668934,
0.0007846351363696158,
0.023551706224679947,
0.0031064762733876705,
-0.023184295743703842,
0.00630258210003376,
-0.019145581871271133,
-0.029523666948080063,
0.09187401831150055,
-0.04520917683839798,
0.011760381050407887,
0.0634298250079155,
-0.02857261896133423,
0.06915464252233505,
-0.04614214971661568,
-0.008489402011036873,
0.026067519560456276,
0.004764196462929249,
-0.04422683268785477,
-0.0656135156750679,
-0.02942746877670288,
0.007501985877752304,
-0.012893215753138065,
-0.039821382611989975,
0.020701361820101738,
-0.04391714930534363,
0.01085010264068842,
-0.014929679222404957,
0.06876169145107269,
0.055113740265369415,
0.029754331335425377,
0.010509231127798557,
-0.008882015943527222,
-0.029619060456752777,
-0.012365560978651047,
-0.11854017525911331,
-0.07797707617282867,
0.018145335838198662,
0.05690089613199234,
-0.011518960818648338,
0.05072273686528206,
-0.0035215942189097404,
0.028571506962180138,
-0.022678477689623833,
-0.010628217831254005,
0.01167543139308691,
0.025910092517733574,
0.026211967691779137,
-0.04626040160655975,
0.0006526726647280157,
-0.0010523799574002624,
0.08053227514028549,
-0.021631771698594093,
-0.010790817439556122,
-0.05633694678544998,
-0.07001790404319763,
-0.008582748472690582,
-0.03480643779039383,
-0.029562823474407196,
0.020711777731776237,
0.021803829818964005,
0.019114220514893532,
-0.0031956995371729136,
0.019346192479133606,
0.014315923675894737,
0.06645649671554565,
0.040212005376815796,
0.008328347466886044,
-0.010023708455264568,
0.013160359114408493,
-0.017791002988815308,
0.020161323249340057,
-0.00123617984354496,
0.027559591457247734,
-0.037988413125276566,
-0.01532543171197176,
0.04350907355546951,
0.0023364860098809004,
-0.25483623147010803,
-0.0028384567704051733,
0.006680878810584545,
0.0316154882311821,
0.011613708920776844,
-0.03975914046168327,
0.003545512678101659,
-0.011402030475437641,
-0.030351195484399796,
0.004569506272673607,
-0.02543654665350914,
0.03849322348833084,
0.008659934625029564,
0.03485958278179169,
0.014693156816065311,
0.024648448452353477,
0.03456732630729675,
-0.004776965826749802,
-0.001907567260786891,
0.04452455788850784,
-0.030301321297883987,
-0.07968716323375702,
-0.015868185088038445,
0.037480007857084274,
0.0007901912904344499,
0.05189507454633713,
-0.04511140286922455,
-0.020170273259282112,
-0.0372580960392952,
-0.019947700202465057,
-0.04237186908721924,
-0.015601004473865032,
-0.011535514146089554,
0.06278783082962036,
0.013514190912246704,
0.01183061022311449,
-0.008346660062670708,
-0.005933082662522793,
0.00029015413019806147,
0.017429523169994354,
0.007847820408642292,
-0.0013628259766846895,
-0.006717771757394075,
0.031784117221832275,
0.07022232562303543,
0.021978866308927536,
-0.03930336982011795,
0.010515795089304447,
0.001787839224562049,
0.02352108620107174,
-0.009839623235166073,
-0.001694065984338522,
-0.010880885645747185,
0.02907973900437355,
-0.01366429403424263,
-0.021788302809000015,
-0.035702187567949295,
-0.025339923799037933,
0.004931067582219839,
0.02492031268775463,
0.023480208590626717,
-0.069193035364151,
-0.0063420007936656475,
-0.019847335293889046,
0.008027665317058563,
-0.024817097932100296,
-0.08761043101549149,
-0.07909376174211502,
0.04597004875540733,
0.01918041706085205,
0.017785418778657913,
0.030917944386601448,
-0.00425416324287653,
-0.08663950115442276,
0.015556041151285172,
-0.030492186546325684,
0.024257132783532143,
0.003724500769749284,
0.005447224713861942,
0.06341578811407089,
-0.023821910843253136,
-0.04425736144185066,
0.0010149070294573903,
0.0016017528250813484,
0.0024469266645610332,
-0.014119986444711685,
0.028380656614899635,
-0.013905412517488003,
-0.02748182602226734,
-0.011313362047076225,
0.023543549701571465,
0.01970876380801201,
0.0589652918279171,
-0.015492391772568226,
0.04477028548717499,
0.013663647696375847,
0.024082722142338753,
0.04591743275523186,
0.0449664331972599,
-0.02006540633738041,
0.03722662851214409,
-0.10152041912078857,
-0.03261132538318634,
-0.04888705536723137,
-0.0330168716609478,
0.012234979309141636,
-0.048867639154195786,
0.008519211784005165,
0.03184247761964798,
0.010405905544757843,
-0.005151468329131603,
-0.03668683022260666,
-0.023212280124425888,
-0.031748246401548386,
-0.025746846571564674,
-0.022539667785167694,
-0.02456645481288433,
0.04710094630718231,
0.025763774290680885,
-0.04312658682465553,
0.011197954416275024,
0.05659465119242668,
-0.03048260137438774,
0.032723456621170044,
0.019411493092775345,
0.03398812562227249,
-0.02078307420015335,
-0.009514182806015015,
-0.011248857714235783,
0.0038578109815716743,
0.04230935499072075,
0.06735476851463318,
-0.0009534648270346224,
0.01560244057327509,
0.04036431759595871,
0.009702186100184917,
0.019837871193885803,
-0.02421090193092823,
0.037241268903017044,
-0.009930215775966644,
0.03919491916894913,
0.027742888778448105,
0.015796469524502754,
0.006753031630069017,
0.03402328118681908,
0.045183394104242325,
-0.01423970889300108,
-0.0004735864931717515,
-0.018127895891666412,
-0.009318041615188122,
0.04017682373523712,
-0.038145411759614944,
-0.011477754451334476,
-0.020191973075270653,
0.012685502879321575,
0.009565748274326324,
0.02985347993671894,
-0.003246988169848919,
-0.007878202013671398,
-0.06885892152786255,
0.05562133714556694,
0.017925066873431206,
-0.0339604988694191,
0.009257955476641655,
0.02510916255414486,
0.04189932718873024,
-0.019309038296341896,
-0.01887177862226963,
0.03645573928952217,
-0.00364896422252059,
0.00560747692361474,
0.020220091566443443,
-0.015832919627428055,
-0.042733751237392426,
-0.027295773848891258,
0.012580388225615025,
-0.014592268504202366,
-0.0023449789732694626,
-0.02210109867155552,
0.018337706103920937,
0.030803527683019638,
0.003736772108823061,
0.021013377234339714,
0.04212723672389984,
0.08033762127161026,
0.01776047609746456,
-0.013729756698012352,
0.011078067123889923,
-0.03939606249332428,
0.05125807970762253,
-0.03676711022853851,
-0.007383674383163452,
-0.03928234800696373,
-0.06479297578334808,
-0.02459663152694702,
-0.03200981393456459,
0.0032824003137648106,
0.027866017073392868,
-0.01238175854086876,
-0.01540100947022438,
-0.03116331435739994,
0.018124675378203392,
-0.051734790205955505,
0.03492216765880585,
0.019293971359729767,
-0.10120861977338791,
0.016173850744962692,
0.02585706114768982,
-0.044532399624586105,
0.01894448883831501,
-0.019815759733319283,
-0.058871716260910034,
-0.07252904027700424,
-0.03562382236123085,
0.01794707402586937,
-0.018001805990934372,
-0.034600984305143356,
-0.014420531690120697,
0.011310717090964317,
-0.008080610074102879,
0.01640227437019348,
0.01222231611609459,
-0.0009730469901114702,
-0.01144392043352127,
0.009797596372663975,
0.06821974366903305,
-0.041206005960702896,
-0.02067924104630947,
0.012917905114591122,
-0.02798549272119999,
0.0003370754129718989,
-0.03157670050859451,
0.026867728680372238,
0.04612864553928375,
-0.010928650386631489,
0.0277312770485878,
-0.028587859123945236,
0.04131665825843811,
-0.052937060594558716,
-0.028031788766384125,
-0.017994582653045654,
-0.0023278123699128628,
-0.05684962123632431,
-0.00678805960342288,
0.0018735229969024658,
0.03843533247709274,
0.019368290901184082,
-0.01015846524387598,
0.013107282109558582,
0.027734659612178802,
0.045814257115125656,
0.031239483505487442,
-0.07270248234272003,
0.022493137046694756,
0.04147114232182503,
-0.039142705500125885,
0.006598618812859058,
-0.07044606655836105,
-0.0019889480900019407,
0.013613439165055752,
-0.03452536091208458,
0.024521470069885254,
-0.008715081959962845,
0.0580635629594326,
0.02983672544360161,
0.02244715578854084,
0.011465516872704029,
0.01384335570037365,
0.027165843173861504,
-0.04155329614877701,
-0.029178813099861145,
-0.0794525220990181,
-0.0333063006401062,
0.022547684609889984,
-0.014495902694761753,
0.033562589436769485,
0.018867621198296547,
-0.037861768156290054,
0.032515428960323334,
-0.04598459601402283,
-0.05578934773802757,
-0.014680339023470879,
-0.028266767039895058,
-0.007474550977349281,
0.011589706875383854,
-0.04589179530739784,
-0.00024585635401308537,
-0.016023240983486176,
-0.07018029689788818,
-0.03078637085855007,
0.020171010866761208,
0.027111714705824852,
-0.0021556131541728973,
0.0013961083022877574,
-0.01973830536007881,
0.01304637361317873,
0.04478242248296738,
0.05772959813475609,
0.02611401118338108,
0.013323288410902023,
-0.04846847429871559,
0.06548918038606644,
0.014845861122012138,
-0.004311960190534592,
-0.01675466075539589,
0.03034534491598606,
-0.003998904023319483,
-0.05165603384375572,
0.05250299721956253,
-0.026771435514092445,
-0.038106005638837814,
-0.03482917696237564,
0.019778655841946602,
0.023883698508143425,
-0.04023751989006996,
-0.04592381790280342,
0.03377784416079521,
-0.05702689290046692,
0.003779288614168763,
0.00768559705466032,
-0.011332458816468716,
-0.000757412111852318,
0.07591964304447174,
0.00983350072056055,
0.01990019716322422,
0.04047096520662308,
0.024134095758199692,
-0.014746156521141529,
0.003336128778755665,
0.09048454463481903,
0.054731905460357666,
0.018310775980353355,
-0.037768661975860596,
0.06606068462133408,
-0.015991659834980965,
-0.0754004567861557,
0.0394548699259758,
-0.0020957274828106165,
-0.0219033844769001,
-0.030279384925961494,
-0.02181069366633892,
0.07635944336652756,
0.012066932395100594,
0.0840400755405426,
-0.05221123620867729,
0.018933549523353577,
0.018710045143961906,
0.007118838839232922,
-0.022128550335764885,
0.060632962733507156,
0.01880718022584915,
0.005632444750517607,
-0.02366049401462078,
-0.024285458028316498,
-0.0006429746281355619,
0.017091646790504456,
0.01944427564740181,
-0.01233580894768238,
-0.014334861189126968,
0.014709717594087124,
0.03178609535098076,
0.010974888689815998,
0.09035728871822357,
-0.05331045389175415,
-0.039861395955085754,
-0.030715225264430046,
-0.011060289107263088,
0.02273983508348465,
0.01906518079340458,
0.019174490123987198,
-0.06361518055200577,
0.017170749604701996,
-0.04535884037613869,
0.01687164232134819,
0.021340452134609222,
0.0020091766491532326,
0.02118004485964775,
-0.00900942087173462,
-0.019388703629374504,
0.02250061370432377,
0.029955338686704636,
0.008177243173122406,
-0.05701611936092377,
-0.011456762440502644,
-0.06803055107593536,
-0.060762688517570496,
-0.06246073171496391,
0.020401298999786377,
0.014530750922858715,
0.0010849051177501678,
0.015566232614219189,
-0.032521750777959824,
0.004417846444994211,
0.03268686309456825,
-0.03751648589968681,
-0.007959512993693352,
0.025018993765115738,
0.0025126866530627012,
0.003667176468297839,
0.01793423295021057,
0.025879789143800735,
-0.009881129488348961,
0.002655236516147852,
0.042692072689533234,
-0.011133207939565182,
0.011239367537200451,
-0.028340820223093033,
-0.0140364496037364,
-0.09498867392539978,
-0.004456318914890289,
-0.007231276948004961,
-0.05970287322998047,
-0.0943945050239563,
0.04426302760839462,
-0.023840373381972313,
0.03401533141732216,
0.04830275475978851,
-0.000517653243150562,
0.001685570110566914,
-0.05363394692540169,
-0.04150202125310898,
-0.013132836669683456,
-0.021156687289476395,
0.06470520049333572,
0.003675079671666026,
0.08085696399211884,
0.04344640299677849,
-0.007483248598873615,
-0.0144176771864295,
0.040176887065172195,
-0.03381543606519699,
0.01005639135837555,
-0.017175521701574326,
-0.03057243674993515,
-0.039058707654476166,
-0.10170850157737732,
-0.0040206266567111015,
0.017979638651013374,
-0.0034569415729492903,
-0.03363746404647827,
-0.010152149014174938,
-0.03148334100842476,
0.01868114061653614,
0.007345992140471935,
-0.012968075461685658,
-0.002395797986537218,
-0.023736407980322838,
-0.021140379831194878,
-0.05086283013224602,
0.03354034945368767,
-0.01716802641749382,
0.015193961560726166,
-0.013679650612175465,
-0.042099107056856155,
-0.019083388149738312,
0.002516067586839199,
0.052603110671043396,
0.0075390757992863655,
0.02444130927324295,
0.01703348569571972
] | null |
598 |
To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers
|
https://openreview.net/forum?id=5zsBvPOIUQ
|
[
"Roman Plaud",
"Alexandre Perez-Lebel",
"Matthieu Labeau",
"Antoine Saillenfest",
"Thomas Bonald"
] |
Poster
|
Hierarchical classification offers an approach to incorporate the concept of mistake severity by leveraging a structured, labeled hierarchy. However, decoding in such settings frequently relies on heuristic decision rules, which may not align with task-specific evaluation metrics. In this work, we propose a framework for the optimal decoding of an output probability distribution with respect
to a target metric. We derive optimal decision rules for increasingly complex prediction settings, providing universal algorithms when candidates are limited to the set of nodes. In the most general case of predicting a *subset of nodes*, we focus on rules dedicated to the hierarchical $\mathrm{hF}_{\beta}$ scores, tailored to hierarchical settings. To demonstrate the practical utility of our approach, we conduct
extensive empirical evaluations, showcasing the superiority of our proposed optimal strategies, particularly in underdetermined scenarios. These results highlight the potential of our methods to enhance the performance and reliability of hierarchical classifiers in real-world applications.
|
Hierarchical Classification, Optimal Decoding
|
We propose an optimal decoding framework for hierarchical classification, deriving decision rules that optimize hierarchical metrics.
| 12,830 |
2506.01552
|
[
-0.017225932329893112,
0.03243214637041092,
0.03191709518432617,
0.002737496979534626,
0.03580493479967117,
0.019653959199786186,
0.03415161743760109,
-0.016897037625312805,
-0.01108571421355009,
-0.04254342243075371,
-0.0038648692425340414,
0.0010597010841593146,
-0.053328096866607666,
-0.02305089496076107,
0.016108909621834755,
0.035117510706186295,
0.029697991907596588,
0.0053372448310256,
-0.023021744564175606,
-0.02951992116868496,
-0.03784754499793053,
-0.010049876756966114,
-0.012123135849833488,
0.021544555202126503,
0.05698002874851227,
0.029253283515572548,
0.009350292384624481,
0.017777230590581894,
-0.030536191537976265,
0.005949097685515881,
0.05294140428304672,
0.0043988642282783985,
0.019621649757027626,
-0.014197263866662979,
0.008700422942638397,
0.018254052847623825,
-0.01459557469934225,
0.008098392747342587,
0.010209972970187664,
0.025982361286878586,
-0.03398900851607323,
0.00321105495095253,
-0.03094613365828991,
0.03450632095336914,
-0.05842307582497597,
0.02530519664287567,
-0.09645920991897583,
0.012971211224794388,
-0.0006807721219956875,
-0.01755133457481861,
-0.07527811825275421,
0.0346851646900177,
0.006322500295937061,
-0.0297539085149765,
0.009103447198867798,
0.06642887741327286,
0.046932101249694824,
-0.05695853754878044,
-0.006175973918288946,
-0.047333307564258575,
-0.04500105232000351,
0.01647208072245121,
0.02170165441930294,
0.028797391802072525,
0.008579974062740803,
-0.03727758303284645,
-0.004794893320649862,
0.049908582121133804,
-0.04816228896379471,
-0.019626840949058533,
-0.03854376822710037,
0.006961034145206213,
0.0033493153750896454,
0.014408398419618607,
-0.003254880430176854,
-0.0781380832195282,
-0.00038083980325609446,
0.021249303594231606,
0.04226363077759743,
-0.02855268120765686,
0.007061597891151905,
0.011446603573858738,
0.03185511752963066,
0.028247224166989326,
0.020061152055859566,
0.020850177854299545,
-0.03686538711190224,
-0.06968884915113449,
-0.06862834095954895,
0.0824185311794281,
-0.028431840240955353,
-0.035540975630283356,
0.03879133611917496,
0.04307650774717331,
0.007607107050716877,
0.0038616713136434555,
0.023458022624254227,
0.029075663536787033,
0.008421703241765499,
-0.03263867646455765,
-0.054923392832279205,
-0.03775573894381523,
0.03725795820355415,
0.006620852742344141,
-0.1028885468840599,
-0.03786322847008705,
0.003411146579310298,
0.008314684964716434,
-0.01774481311440468,
-0.016004158183932304,
-0.008427798748016357,
0.00662975013256073,
0.01536872424185276,
-0.019658280536532402,
-0.08848186582326889,
0.0350443571805954,
0.014195606112480164,
0.006062540225684643,
-0.019440704956650734,
0.01635720208287239,
0.06602770835161209,
0.057239215821027756,
-0.009578132070600986,
0.08154874294996262,
-0.0011075903894379735,
-0.028800539672374725,
0.04744698479771614,
0.02447390742599964,
-0.011360477656126022,
-0.039504650980234146,
-0.0062568942084908485,
0.03689856454730034,
0.008036557585000992,
0.03948196768760681,
-0.03197207674384117,
0.017454855144023895,
-0.0050492072477936745,
-0.022243157029151917,
-0.0002885662252083421,
-0.015898771584033966,
0.017802396789193153,
-0.016458092257380486,
0.04325186461210251,
-0.024854516610503197,
0.074971042573452,
-0.04090479016304016,
-0.0038541366811841726,
-0.01004372350871563,
-0.029260070994496346,
-0.02441152185201645,
-0.007574229966849089,
-0.019657421857118607,
0.000401055789552629,
-0.06188509985804558,
0.003530709072947502,
0.03173256665468216,
0.04335256293416023,
0.019463060423731804,
0.008383652195334435,
0.02545609325170517,
0.0003911108069587499,
-0.004700802732259035,
-0.03799210488796234,
0.0044653513468801975,
-0.013119746930897236,
-0.05663455277681351,
0.044141706079244614,
0.03491133078932762,
-0.022450191900134087,
0.02792639285326004,
-0.013739797286689281,
-0.050310168415308,
0.04148421809077263,
-0.012093431316316128,
-0.026842163875699043,
-0.012273474596440792,
0.053479813039302826,
0.010266613215208054,
0.04111040011048317,
0.0011193169048056006,
-0.0810806155204773,
0.04453899338841438,
0.02551828883588314,
0.014501317404210567,
-0.008113466203212738,
-0.001454074401408434,
0.10536602884531021,
-0.05532747507095337,
0.013985291123390198,
0.032232724130153656,
-0.08302108943462372,
0.006918554659932852,
0.03994350507855415,
-0.012559821829199791,
0.07148993015289307,
0.019037088379263878,
-0.004040794912725687,
0.03685660660266876,
0.022417571395635605,
0.03190561383962631,
0.04837369918823242,
-0.018482547253370285,
0.07180621474981308,
-0.006189010571688414,
-0.03195110335946083,
-0.010418158955872059,
0.04467638209462166,
-0.057618387043476105,
-0.03901861980557442,
0.016474030911922455,
-0.004152902867645025,
-0.02365957945585251,
0.0038842319045215845,
-0.00723674800246954,
0.012985827401280403,
0.034567691385746,
0.019415196031332016,
0.009837440215051174,
0.040603507310152054,
-0.03978612273931503,
0.020941343158483505,
-0.0094832768663764,
-0.013039452955126762,
0.01204855740070343,
-0.017880568280816078,
0.08417236804962158,
0.07175225019454956,
-0.0043909125961363316,
0.008683559484779835,
0.028133366256952286,
-0.0034932950511574745,
0.013947537168860435,
0.041231170296669006,
0.014378796331584454,
0.0048503815196454525,
-0.010112596675753593,
-0.0277821347117424,
-0.0624530054628849,
0.07712342590093613,
-0.03652951493859291,
-0.031120365485548973,
0.030607115477323532,
-0.021684961393475533,
0.039988547563552856,
0.004535073414444923,
0.00414512911811471,
0.031952280551195145,
0.022596482187509537,
-0.029854416847229004,
-0.0063837384805083275,
-0.021779119968414307,
-0.0014964411966502666,
-0.001964043593034148,
-0.03144865855574608,
-0.001801932230591774,
-0.048821620643138885,
0.02970774844288826,
0.022565031424164772,
0.07338470965623856,
0.031700655817985535,
0.06128976121544838,
-0.0014402979286387563,
-0.01830536685883999,
-0.05150074139237404,
0.009906069375574589,
-0.11341097205877304,
-0.03925071284174919,
-0.008816935122013092,
0.027955779805779457,
0.024231411516666412,
0.01925332099199295,
-0.02188682369887829,
0.04527154192328453,
-0.018795769661664963,
-0.0338236466050148,
0.006016618572175503,
0.052544690668582916,
-0.00980339478701353,
-0.023877667263150215,
0.004574893973767757,
0.0006168961990624666,
0.0751827135682106,
-0.02209915593266487,
-0.009598279371857643,
-0.028753289952874184,
-0.021824149414896965,
-0.012528586201369762,
-0.05609632655978203,
-0.012968636117875576,
0.04360930621623993,
-0.018647003918886185,
0.05140049755573273,
-0.007841124199330807,
0.012770242989063263,
0.04324192553758621,
0.03212008252739906,
0.0392751507461071,
0.02767779305577278,
-0.01753147877752781,
0.046180009841918945,
-0.030732758343219757,
0.03530734404921532,
-0.012131813913583755,
0.015484055504202843,
0.00029366667149588466,
0.014029441401362419,
0.005701152607798576,
-0.0019348444184288383,
-0.2832479774951935,
-0.007353638764470816,
0.04239335656166077,
-0.024607213214039803,
0.0174038577824831,
-0.018140414729714394,
0.03084837645292282,
-0.01452138926833868,
-0.02979416213929653,
0.016393881291151047,
0.02857310324907303,
0.015511749312281609,
0.026259616017341614,
0.023930935189127922,
0.0347006656229496,
0.007387262769043446,
-0.021170692518353462,
0.00526910275220871,
0.034190233796834946,
0.04622476547956467,
-0.03709803894162178,
-0.054694317281246185,
-0.024019164964556694,
0.0057116663083434105,
-0.032821618020534515,
0.05118579789996147,
-0.06513163447380066,
-0.02347487211227417,
-0.03722525015473366,
-0.028676334768533707,
0.013595622032880783,
-0.054250117391347885,
-0.036959320306777954,
0.03846251592040062,
0.02033669874072075,
-0.019180288538336754,
0.03026985563337803,
-0.01369074173271656,
-0.028098436072468758,
0.05014847591519356,
-0.01352763082832098,
-0.014051560312509537,
-0.04111488163471222,
-0.0008630037773400545,
0.07424493134021759,
0.03983021527528763,
0.0014791312860324979,
-0.03789491578936577,
0.005639920011162758,
0.024344678968191147,
0.014454079791903496,
-0.05569327250123024,
-0.030112596228718758,
-0.002428752603009343,
0.0006346875452436507,
-0.042218148708343506,
0.012370469979941845,
-0.026754461228847504,
-0.02657083421945572,
0.015845011919736862,
-0.006150384433567524,
-0.05182124301791191,
0.0033443414140492678,
-0.03596881404519081,
-0.037531062960624695,
-0.015577481128275394,
-0.08350934833288193,
-0.048901818692684174,
0.019531546160578728,
0.025060664862394333,
-0.009882296435534954,
0.05133216455578804,
0.0035464854445308447,
-0.0864361971616745,
0.001492588664405048,
-0.015937261283397675,
0.0004907362745143473,
0.03066938929259777,
0.005142994690686464,
0.06469379365444183,
-0.004113324917852879,
-0.06573162972927094,
0.002344656502828002,
0.006024386268109083,
0.015202372334897518,
-0.004591319244354963,
0.01855466328561306,
-0.0014255373971536756,
-0.006339844316244125,
-0.0346355102956295,
0.008774553425610065,
0.043435677886009216,
0.005912573542445898,
0.03254343196749687,
0.009225457906723022,
0.07403233647346497,
0.015205631963908672,
0.05309382826089859,
0.0334148108959198,
0.02642076462507248,
-0.0005772138829343021,
-0.05750424042344093,
0.018289197236299515,
-0.0416182205080986,
-0.018929418176412582,
0.01927429623901844,
-0.040132246911525726,
-0.030001578852534294,
0.029460309073328972,
-0.0365515872836113,
-0.01373501680791378,
0.012425091117620468,
-0.0037979476619511843,
-0.011769862845540047,
0.018734892830252647,
-0.020902007818222046,
-0.013597848825156689,
0.006912169512361288,
0.03693024441599846,
0.013193322345614433,
-0.02709663286805153,
0.044644251465797424,
-0.034398674964904785,
-0.015665775164961815,
-0.005257082171738148,
-0.005404556170105934,
0.0063321334309875965,
-0.0027360678650438786,
0.007468540221452713,
-0.04617708921432495,
0.03836705535650253,
0.06352116167545319,
-0.00377090647816658,
0.040110643953084946,
0.05662064626812935,
-0.015948200598359108,
-0.029746223241090775,
0.006969297770410776,
0.05413579195737839,
-0.053665775805711746,
0.02498168684542179,
-0.013161363080143929,
0.03967666998505592,
0.04481794685125351,
0.05080176889896393,
-0.032731786370277405,
-0.017664451152086258,
-0.012170528993010521,
-0.0013445576187223196,
-0.0026958349626511335,
0.013286549597978592,
-0.024689488112926483,
-0.009570576250553131,
-0.03710823878645897,
0.02992105484008789,
0.019755085930228233,
0.015014869160950184,
-0.01475457288324833,
0.013313530944287777,
-0.07944200932979584,
0.06479940563440323,
-0.022314375266432762,
-0.014137595891952515,
-0.05099882185459137,
0.030237164348363876,
0.04672675579786301,
-0.04368126764893532,
0.01713695004582405,
0.007769928779453039,
0.024678584188222885,
0.010515738278627396,
-0.02249305322766304,
-0.01355769857764244,
0.007851846516132355,
-0.03614146262407303,
0.004561969544738531,
0.027147410437464714,
0.007650491315871477,
-0.05697246268391609,
0.048536792397499084,
-0.01517841313034296,
-0.040206100791692734,
-0.0314905010163784,
0.030490722507238388,
0.07219012826681137,
0.00403147516772151,
0.017672918736934662,
-0.006976359523832798,
-0.03645511716604233,
0.0393281951546669,
-0.030075082555413246,
0.0185928363353014,
-0.028767798095941544,
-0.00818425789475441,
-0.023683426901698112,
-0.04005511850118637,
-0.02501043491065502,
0.010823887772858143,
-0.010571260005235672,
-0.013117294758558273,
-0.002437584800645709,
0.012752554379403591,
-0.05345240607857704,
-0.08398491889238358,
0.002463241573423147,
-0.0722300112247467,
0.005121452268213034,
0.05847717821598053,
-0.00642257509753108,
0.01989281177520752,
-0.047953538596630096,
-0.051632802933454514,
-0.06262513250112534,
-0.0033534469548612833,
0.02248011715710163,
-0.047760337591171265,
-0.040666621178388596,
-0.0032912129536271095,
-0.005659622140228748,
-0.017349960282444954,
0.004410956054925919,
0.017262516543269157,
0.00605701794847846,
-0.015869183465838432,
0.02086643874645233,
0.05159638449549675,
-0.0119650699198246,
-0.019198287278413773,
0.01969839073717594,
-0.0036531449295580387,
0.005997738800942898,
-0.015715621411800385,
0.004913652315735817,
0.08648604154586792,
-0.010400170460343361,
-0.009223353117704391,
-0.057626500725746155,
0.008916935883462429,
-0.004862513393163681,
0.015943173319101334,
0.0003267540887463838,
0.006332137621939182,
0.0019866840448230505,
-0.00561941834166646,
0.015436873771250248,
0.03277214989066124,
0.03731648996472359,
-0.027895011007785797,
0.021301083266735077,
0.01861969381570816,
0.012581604532897472,
0.020078569650650024,
-0.07209578156471252,
-0.02999274805188179,
0.05629067122936249,
-0.001640319125726819,
-0.030283674597740173,
-0.07599365711212158,
-0.003944148309528828,
0.04307151213288307,
-0.0035042217932641506,
0.01738210767507553,
-0.017826730385422707,
0.04426073282957077,
0.012408493086695671,
0.05218241363763809,
-0.010589007288217545,
-0.005280319135636091,
0.022607069462537766,
-0.05719418451189995,
-0.009035654366016388,
-0.07186140865087509,
-0.0026421104557812214,
0.07264299690723419,
-0.05116907134652138,
-0.0023199201095849276,
-0.009469371289014816,
-0.0017231972888112068,
-0.0067206439562141895,
-0.007926225662231445,
-0.05026901140809059,
0.0022586057893931866,
0.008794592693448067,
0.006390408147126436,
0.0028039985336363316,
-0.06837864965200424,
-0.03686574473977089,
-0.027524299919605255,
-0.03352944552898407,
0.014406421221792698,
-0.007448907010257244,
0.06743258982896805,
-0.0003953480045311153,
0.008342182263731956,
-0.027300715446472168,
-0.005613676272332668,
0.024311251938343048,
0.09399540722370148,
0.03884290158748627,
-0.002362441038712859,
-0.02907906100153923,
0.06865256279706955,
-0.012680024839937687,
0.000054426876886282116,
-0.01829778589308262,
0.02915976755321026,
-0.03763150796294212,
-0.06656616181135178,
0.0463496632874012,
-0.019809594377875328,
-0.020183825865387917,
-0.045460935682058334,
0.05453689396381378,
0.010132825933396816,
-0.019127575680613518,
0.0009406848112121224,
-0.007740468252450228,
-0.04201994836330414,
0.010578205808997154,
-0.003919671755284071,
0.008369280025362968,
-0.021557392552495003,
0.09001035988330841,
0.03228835016489029,
0.04237637296319008,
0.08798405528068542,
-0.017131846398115158,
-0.023113882169127464,
-0.0008806255646049976,
0.07591968029737473,
0.05571046099066734,
0.04353494942188263,
-0.012613673694431782,
0.06159815192222595,
-0.05241786316037178,
-0.03803090751171112,
0.009308461099863052,
0.019758766517043114,
-0.014276230707764626,
-0.03332154080271721,
-0.005569655913859606,
0.04088164493441582,
0.02286749705672264,
0.07683634012937546,
-0.03829726576805115,
0.017957555130124092,
0.06000256538391113,
0.029292834922671318,
0.008899402804672718,
0.02612432837486267,
0.011606439016759396,
0.005876512266695499,
-0.017710255458950996,
-0.008795801550149918,
-0.00815748330205679,
0.02477046474814415,
-0.005009080283343792,
0.01897701621055603,
-0.0086897574365139,
0.027298016473650932,
0.010748646222054958,
0.017604295164346695,
0.0794660747051239,
-0.03880780562758446,
-0.04847319424152374,
-0.0022334514651447535,
0.028649531304836273,
0.02577895298600197,
0.04066354036331177,
-0.025177156552672386,
-0.03735080733895302,
-0.0007174955680966377,
-0.04875835031270981,
0.020434144884347916,
0.017704971134662628,
-0.0014204449253156781,
0.02989337220788002,
-0.01912630908191204,
-0.020916929468512535,
0.008008343167603016,
0.01655837707221508,
-0.037533167749643326,
-0.030182361602783203,
-0.021337609738111496,
-0.03527020663022995,
-0.07389707118272781,
-0.06317867338657379,
0.018859850242733955,
-0.006527171935886145,
-0.0010100664803758264,
0.005119479726999998,
-0.03811543807387352,
-0.005849734880030155,
0.015070689842104912,
-0.07903669029474258,
0.005314272828400135,
0.04184623435139656,
0.012981986626982689,
-0.002889353549107909,
0.030226225033402443,
0.013721628114581108,
-0.02931239642202854,
-0.0177431832998991,
0.03953573480248451,
-0.007699242327362299,
0.05346660688519478,
-0.0282976683229208,
-0.016467243432998657,
-0.08963298052549362,
-0.003076043911278248,
0.013607322238385677,
-0.025073837488889694,
-0.06956187635660172,
0.008207183331251144,
-0.023696599528193474,
0.007091192994266748,
0.07656671106815338,
0.024210022762417793,
0.0036479474510997534,
-0.03920848295092583,
-0.0006973859271965921,
-0.027063043788075447,
0.0022033057175576687,
0.057168278843164444,
-0.0524606853723526,
0.06702733784914017,
0.0369272455573082,
-0.034213099628686905,
-0.018246173858642578,
0.03538667410612106,
-0.04277120903134346,
-0.013106957077980042,
-0.032193999737501144,
-0.016633205115795135,
-0.004356786143034697,
-0.10754281282424927,
-0.006732169073075056,
0.03941648080945015,
-0.02250441536307335,
-0.04938167706131935,
0.005668667145073414,
-0.04932773485779762,
0.015982523560523987,
-0.02415376901626587,
-0.04932622238993645,
0.030408328399062157,
-0.03593935817480087,
-0.034081004559993744,
-0.07712530344724655,
0.00976258423179388,
-0.04091210290789604,
-0.0019425279460847378,
-0.006836608052253723,
-0.051805585622787476,
-0.024667970836162567,
-0.003144198330119252,
0.023014623671770096,
0.04516240954399109,
0.016398077830672264,
-0.045375946909189224
] |
https://github.com/RomanPlaud/hierarchical_decision_rules
|
599 |
Polynomial-Time Approximability of Constrained Reinforcement Learning
|
https://openreview.net/forum?id=bcHMa96Dv6
|
[
"Jeremy McMahan"
] |
Poster
|
We study the computational complexity of approximating general constrained Markov decision processes. Our primary contribution is the design of a polynomial time $(0,\epsilon)$-additive bicriteria approximation algorithm for finding optimal constrained policies across a broad class of recursively computable constraints, including almost-sure, chance, expectation, and their anytime variants. Matching lower bounds imply our approximation guarantees are optimal so long as $P \neq NP$. The generality of our approach results in answers to several long-standing open complexity questions in the constrained reinforcement learning literature. Specifically, we are the first to prove polynomial-time approximability for the following settings: policies under chance constraints, deterministic policies under multiple expectation constraints, policies under non-homogeneous constraints (i.e., constraints of different types), and policies under constraints for continuous-state processes.
|
Constrained Reinforcement Learning, Computational Complexity, Approximation Algorithms
| null | 12,829 |
2502.07764
|
[
-0.06644808501005173,
-0.01660776138305664,
-0.018249772489070892,
0.034122370183467865,
0.04277269169688225,
0.03053404949605465,
0.014671671204268932,
-0.014786389656364918,
-0.027028564363718033,
-0.013745230622589588,
-0.04597632586956024,
0.007566124200820923,
-0.07985988259315491,
-0.019928809255361557,
0.014689589850604534,
0.07214073091745377,
-0.0015649923589080572,
-0.01089379284530878,
0.011637304909527302,
0.007493415381759405,
-0.006667425390332937,
0.03629292920231819,
0.02295592986047268,
0.020385129377245903,
0.04389108717441559,
0.026216724887490273,
0.040059417486190796,
0.013704816810786724,
-0.026502957567572594,
-0.020114218816161156,
0.021467145532369614,
0.018196409568190575,
-0.0023944007698446512,
-0.016022684052586555,
-0.008275873959064484,
0.002991954330354929,
0.004949463997036219,
-0.003448715666308999,
-0.00482301926240325,
0.019120246171951294,
-0.03852779418230057,
0.03769749030470848,
-0.00021917454432696104,
0.012954451143741608,
-0.05364806950092316,
0.019819363951683044,
-0.031287726014852524,
0.03466925770044327,
0.023235075175762177,
-0.0524270124733448,
-0.10564839094877243,
0.03798907995223999,
0.011585944332182407,
0.019222745671868324,
-0.02511429414153099,
0.04675015062093735,
0.020816553384065628,
-0.0817103460431099,
0.007377536501735449,
-0.038736023008823395,
-0.0211320910602808,
0.033724501729011536,
0.008936743251979351,
0.002015895675867796,
-0.037255458533763885,
0.002673187293112278,
0.021868566051125526,
0.04641349986195564,
-0.02330043539404869,
-0.02284967340528965,
-0.058181531727313995,
-0.016613731160759926,
0.000513400009367615,
0.04009436443448067,
0.02356841415166855,
-0.04309942200779915,
0.029824761673808098,
0.032004255801439285,
0.0025362870655953884,
0.0296751968562603,
0.005741641391068697,
0.040516987442970276,
0.02409564144909382,
0.03068956919014454,
0.03188059478998184,
0.002530914032831788,
-0.04218420758843422,
-0.04959080368280411,
-0.09410017728805542,
0.0310762207955122,
-0.03572980314493179,
-0.048821792006492615,
-0.013332745991647243,
0.020182544365525246,
-0.01591308042407036,
-0.026066036894917488,
0.005244914907962084,
0.029705211520195007,
0.025948666036128998,
-0.015697233378887177,
-0.029292019084095955,
-0.022512679919600487,
-0.005155076272785664,
-0.04432487487792969,
-0.11028333753347397,
-0.025242501869797707,
0.0026753912679851055,
-0.00048710827832110226,
0.006718380376696587,
0.022674301639199257,
-0.041221171617507935,
0.005113717634230852,
0.004102716222405434,
-0.01371347438544035,
-0.0805082768201828,
0.0334409661591053,
-0.010625823400914669,
0.026147417724132538,
0.004070012830197811,
0.004192760214209557,
0.041036542505025864,
0.03189585357904434,
-0.011146144941449165,
0.07069088518619537,
-0.0005316533497534692,
0.014628604985773563,
0.042378321290016174,
0.051754433661699295,
-0.020996203646063805,
-0.060125745832920074,
0.022702854126691818,
0.028954561799764633,
-0.020801903679966927,
0.007953841239213943,
-0.022023947909474373,
-0.02464641071856022,
-0.030043017119169235,
0.04135925695300102,
-0.006020666100084782,
-0.0026796485763043165,
-0.010791213251650333,
-0.013863587751984596,
0.08970677852630615,
0.010313007049262524,
0.03398386761546135,
-0.028495166450738907,
0.02968379482626915,
-0.018418343737721443,
-0.03941982612013817,
-0.01969764567911625,
-0.023112671449780464,
0.0011913032503798604,
0.007245559711009264,
-0.04231281206011772,
0.012663126923143864,
0.03470759093761444,
0.025463884696364403,
0.0188271626830101,
-0.04193248227238655,
0.02241787128150463,
0.02264351211488247,
-0.006189997307956219,
-0.042460374534130096,
-0.024566074833273888,
0.025755712762475014,
-0.08372412621974945,
0.04933423548936844,
0.05784274637699127,
-0.005695318337529898,
-0.02312697097659111,
-0.013527607545256615,
-0.008274330757558346,
0.05022036284208298,
-0.006625083740800619,
-0.02187998592853546,
0.014770706184208393,
0.0640072301030159,
-0.0379333533346653,
0.05978720262646675,
-0.02321847341954708,
-0.08834031969308853,
0.01864500343799591,
-0.0017165845492854714,
-0.009639711119234562,
-0.022461844608187675,
-0.04098061844706535,
0.0662066861987114,
-0.04039081931114197,
0.030148033052682877,
-0.015467150136828423,
-0.037106823176145554,
-0.022150829434394836,
0.040896181017160416,
-0.022709790617227554,
0.05463279411196709,
0.009530932642519474,
-0.04993215575814247,
0.008129077032208443,
0.0014037773944437504,
0.0401223860681057,
0.04822452738881111,
-0.009282846003770828,
0.045290812849998474,
-0.005210885312408209,
-0.03459960222244263,
0.02411767840385437,
0.03680217266082764,
-0.04454036056995392,
-0.047680407762527466,
0.017345570027828217,
-0.009186304174363613,
0.006121032405644655,
-0.002676206873729825,
-0.014111404307186604,
0.03465089201927185,
-0.008389228954911232,
-0.010658794082701206,
0.002436236245557666,
0.06140410527586937,
-0.048549115657806396,
0.029286839067935944,
0.012473578564822674,
-0.03133757784962654,
0.05446932464838028,
-0.011029067449271679,
0.07215419411659241,
0.10071325302124023,
-0.016649937257170677,
0.001767821260727942,
0.029626674950122833,
-0.0020189527422189713,
-0.01317662838846445,
-0.0010760186705738306,
-0.021973716095089912,
0.047421880066394806,
0.020273461937904358,
-0.013484385795891285,
-0.044260259717702866,
0.062094882130622864,
-0.032031092792749405,
-0.013403073884546757,
0.067060686647892,
-0.010759791359305382,
0.06360086053609848,
-0.016842788085341454,
-0.004512458108365536,
0.010836703702807426,
0.033659230917692184,
-0.02143019065260887,
-0.008097875863313675,
-0.06227558106184006,
-0.013594862073659897,
0.04773177579045296,
-0.007629915606230497,
-0.00998309813439846,
-0.062056463211774826,
0.019289644435048103,
0.0019243662245571613,
0.09051699191331863,
0.048606932163238525,
0.011340460740029812,
0.03057161532342434,
0.0042110709473490715,
-0.017870934680104256,
-0.005263512022793293,
-0.13250119984149933,
-0.07306931167840958,
0.011304478161036968,
0.04260404780507088,
0.03940025717020035,
0.030130470171570778,
-0.03833020478487015,
0.03271469101309776,
-0.01707766018807888,
-0.031492821872234344,
0.003193057607859373,
0.030292678624391556,
0.008692477829754353,
-0.05221555009484291,
0.009250274859368801,
0.030707955360412598,
0.07861460000276566,
-0.0004978921497240663,
-0.010849461890757084,
-0.02732365019619465,
-0.04092548042535782,
-0.00552635733038187,
-0.07045541703701019,
-0.00931722391396761,
0.009667783044278622,
-0.010609889402985573,
0.012403566390275955,
-0.04469843953847885,
0.003953446634113789,
0.048971787095069885,
0.020379556342959404,
0.03602985292673111,
0.015621020458638668,
0.0240574199706316,
-0.026982784271240234,
-0.005289547611027956,
0.01371767558157444,
-0.013245065696537495,
0.033514946699142456,
0.008395613171160221,
0.0005019056843593717,
0.028511133044958115,
0.010340321809053421,
-0.2749670147895813,
-0.038278888911008835,
-0.014059140346944332,
0.016278419643640518,
0.029912447556853294,
-0.013019312173128128,
0.05393678694963455,
-0.02537383697926998,
-0.042247697710990906,
0.013004268519580364,
0.0022833100520074368,
-0.0048912763595581055,
0.004621813539415598,
0.10010194033384323,
0.06015189737081528,
0.029773425310850143,
-0.003184972796589136,
-0.02933274768292904,
-0.023720791563391685,
0.00923288706690073,
-0.01157709676772356,
-0.07192961126565933,
-0.002144245197996497,
0.004936353303492069,
0.015783170238137245,
0.05568379536271095,
-0.04605646803975105,
0.0009875561809167266,
-0.060938525944948196,
-0.014589794911444187,
-0.03974365442991257,
-0.012916108593344688,
-0.049752648919820786,
0.019057320430874825,
0.029130838811397552,
0.023326482623815536,
0.03470061719417572,
0.010130380280315876,
0.004549602512270212,
0.042474232614040375,
0.004949808120727539,
-0.021581336855888367,
0.002681017853319645,
-0.022912930697202682,
0.021619442850351334,
0.04253062978386879,
0.009132501669228077,
-0.006842171773314476,
-0.007410790305584669,
0.03962654620409012,
0.03002936951816082,
-0.017143599689006805,
0.01335378922522068,
0.006041925400495529,
0.04134175926446915,
-0.024404816329479218,
-0.019539179280400276,
-0.0456455834209919,
-0.02424846589565277,
0.04170951992273331,
0.02235283888876438,
-0.05236457660794258,
-0.026602108031511307,
-0.03268536925315857,
-0.00263353087939322,
-0.02837030217051506,
-0.05143004655838013,
-0.06221035495400429,
0.024697182700037956,
0.04420663043856621,
0.020709054544568062,
-0.044527895748615265,
-0.009432734921574593,
-0.08442607522010803,
0.008096867240965366,
-0.008928234688937664,
-0.012944945134222507,
-0.019283020868897438,
0.02641046792268753,
0.0332007072865963,
-0.04059002920985222,
-0.06000283360481262,
-0.02312278375029564,
-0.0023414986208081245,
0.034983307123184204,
-0.021568506956100464,
0.0008703962666913867,
-0.036010559648275375,
-0.031188158318400383,
-0.036928363144397736,
-0.0031634343322366476,
0.029478128999471664,
0.037580233067274094,
-0.027173224836587906,
0.04241945594549179,
0.030770478770136833,
0.03697729483246803,
0.030274230986833572,
0.027795320376753807,
-0.02606646530330181,
-0.002298207487910986,
-0.07019275426864624,
-0.026027385145425797,
-0.043076254427433014,
-0.053687095642089844,
0.03411850333213806,
-0.05396854877471924,
-0.010740301571786404,
0.056409064680337906,
-0.015831172466278076,
-0.01977291703224182,
-0.02900560572743416,
0.0060305348597466946,
-0.03127410262823105,
0.005527793429791927,
-0.02419794164597988,
-0.010471874848008156,
0.052465688437223434,
0.03206958621740341,
0.00500634778290987,
-0.040482841432094574,
0.06248737871646881,
-0.030142148956656456,
0.012338625267148018,
-0.049701616168022156,
0.02111043781042099,
0.02066810056567192,
-0.03063865192234516,
0.023830510675907135,
-0.02327229641377926,
0.03646254166960716,
0.03613314405083656,
0.003294505411759019,
0.012991629540920258,
0.05511786416172981,
0.014657789841294289,
-0.019711153581738472,
-0.024461504071950912,
0.03192010149359703,
-0.03814813867211342,
0.011582733131945133,
0.005324420519173145,
0.018383851274847984,
0.03177385404706001,
0.027118626981973648,
0.008807733654975891,
0.009919208474457264,
0.017407111823558807,
0.012360731139779091,
0.0030017392709851265,
0.019437478855252266,
-0.04489541053771973,
0.04347657784819603,
-0.027148256078362465,
0.02953178808093071,
-0.035938795655965805,
0.03511524200439453,
-0.00916216429322958,
0.034784600138664246,
-0.07654673606157303,
0.03349761292338371,
-0.02047608606517315,
-0.012593185529112816,
-0.006783846765756607,
0.05084972828626633,
0.09766264259815216,
-0.038380783051252365,
0.014721198938786983,
-0.016759974882006645,
0.03956623747944832,
0.03685092553496361,
-0.02938833273947239,
-0.05069828778505325,
-0.012803000397980213,
-0.008263971656560898,
-0.03331859037280083,
0.015300357714295387,
-0.031110908836126328,
-0.07186949998140335,
-0.0233597569167614,
-0.003078732406720519,
-0.037786815315485,
-0.009448884986341,
-0.008402717299759388,
0.058716706931591034,
-0.018960589542984962,
0.007791288662701845,
-0.008302665315568447,
-0.0337211973965168,
0.03594436123967171,
0.014434544369578362,
0.03822408244013786,
-0.014645528979599476,
-0.06038954481482506,
-0.0030186998192220926,
-0.04133008420467377,
0.005062177311629057,
-0.02000739425420761,
-0.021394796669483185,
0.007723715156316757,
0.018882151693105698,
-0.028445089235901833,
-0.028328759595751762,
0.003735258476808667,
0.03350585326552391,
-0.03659399598836899,
-0.002551762852817774,
0.042772628366947174,
0.003366742981597781,
0.0436282716691494,
-0.07912909239530563,
-0.017626507207751274,
-0.023541206493973732,
-0.005812040064483881,
0.018395502120256424,
-0.01235144678503275,
-0.03083873726427555,
0.019307803362607956,
0.0031132600270211697,
0.004144224803894758,
0.016352469101548195,
-0.013769240118563175,
-0.008410733193159103,
-0.040240321308374405,
0.003783163148909807,
0.06513341516256332,
-0.0009011844522319734,
-0.04253428056836128,
0.02528712898492813,
-0.004593099467456341,
0.005442211404442787,
-0.042282987385988235,
0.0012710236478596926,
0.029300972819328308,
-0.0005778885097242892,
0.016925504431128502,
-0.04412973299622536,
0.07218179106712341,
-0.05644282326102257,
-0.01837514154613018,
-0.022744495421648026,
0.018294023349881172,
0.004253770224750042,
-0.021418975666165352,
0.004916251637041569,
0.013202792964875698,
0.04296645149588585,
0.004510499536991119,
-0.002180524170398712,
0.0018146184738725424,
-0.005160107277333736,
0.049418188631534576,
-0.04229196533560753,
-0.0006534858839586377,
0.05873357877135277,
0.045874740928411484,
-0.038742825388908386,
-0.013823334127664566,
0.020299075171351433,
0.041194118559360504,
-0.05259406939148903,
0.0213039368391037,
-0.037875011563301086,
0.008755499497056007,
0.035992808640003204,
0.030392400920391083,
0.009840024635195732,
-0.01865581050515175,
0.010801883414387703,
-0.0764581561088562,
0.0072768875397741795,
-0.07318875193595886,
0.013500749133527279,
0.04343976452946663,
-0.029679490253329277,
0.009246190078556538,
0.05331934988498688,
-0.01718664914369583,
0.04836953803896904,
-0.023970510810613632,
-0.04618384316563606,
0.030986910685896873,
-0.040253378450870514,
-0.007968422025442123,
0.03955179452896118,
-0.06365260481834412,
-0.02476251684129238,
0.021319270133972168,
-0.05410623550415039,
0.027083996683359146,
0.025637581944465637,
0.029283195734024048,
-0.006429052911698818,
-0.013321741484105587,
-0.05523327738046646,
0.046372633427381516,
0.03464805334806442,
0.029907220974564552,
0.01556447520852089,
0.02962646633386612,
-0.04288691654801369,
0.023790165781974792,
0.04981899634003639,
0.04858815297484398,
-0.04835082218050957,
0.04160629212856293,
-0.005932793952524662,
-0.07117403298616409,
0.03493354469537735,
-0.016858112066984177,
-0.0018698304193094373,
-0.0436495803296566,
0.07404625415802002,
0.01372780092060566,
-0.0547504648566246,
-0.009153241291642189,
0.013979582116007805,
-0.062874436378479,
0.0023742569610476494,
-0.00496057840064168,
0.022256601601839066,
0.018372850492596626,
0.06964601576328278,
0.0014580084243789315,
0.03737741708755493,
0.0850607231259346,
0.001776786521077156,
0.004783414304256439,
-0.014928488060832024,
0.06910869479179382,
0.05439162999391556,
0.0550997257232666,
0.003222805680707097,
0.043413206934928894,
-0.07465474307537079,
-0.03957716003060341,
0.01024551596492529,
-0.0023076815996319056,
-0.012993586249649525,
-0.002824790310114622,
0.013396953232586384,
0.042534030973911285,
-0.012810878455638885,
0.06488871574401855,
-0.05332197621464729,
-0.008910262025892735,
0.043330226093530655,
-0.015558038838207722,
0.006703665014356375,
0.0460289902985096,
0.03624720871448517,
0.013078424148261547,
-0.025965312495827675,
-0.025925127789378166,
0.007261676248162985,
0.005685522221028805,
0.021202614530920982,
-0.0032078467775136232,
-0.019677869975566864,
0.0044382293708622456,
0.03226735070347786,
0.012762562371790409,
0.08493225276470184,
-0.038862649351358414,
-0.014287997037172318,
0.006781048607081175,
0.029290813952684402,
-0.0017598731210455298,
0.04850856959819794,
0.04425770044326782,
-0.029573172330856323,
0.01753094792366028,
-0.00757979741320014,
0.033335763961076736,
0.030977554619312286,
-0.012765678577125072,
-0.010450569912791252,
0.009904081001877785,
0.0024765159469097853,
0.023998817428946495,
0.021793825551867485,
-0.04416052624583244,
-0.04492318257689476,
-0.021403860300779343,
-0.05239139497280121,
-0.031477708369493484,
-0.04222223162651062,
0.0051737213507294655,
-0.014809893444180489,
-0.056442707777023315,
0.02429852820932865,
0.0046315439976751804,
-0.001683390000835061,
0.004940798040479422,
-0.03701163828372955,
-0.009771845303475857,
0.03445803001523018,
0.014920230023562908,
0.03828482702374458,
0.02911439724266529,
0.04943171888589859,
-0.0065439194440841675,
-0.045612696558237076,
-0.009018701501190662,
0.014996602199971676,
0.0021144424099475145,
-0.013633348047733307,
-0.018573781475424767,
-0.09045885503292084,
-0.029541151598095894,
0.022468823939561844,
-0.030911490321159363,
-0.07210949808359146,
0.01612977124750614,
-0.03946363553404808,
0.017324745655059814,
0.07597712427377701,
0.013474751263856888,
0.013796747662127018,
-0.044366564601659775,
0.015020236372947693,
0.004211347084492445,
0.001988847041502595,
0.026458557695150375,
-0.019692808389663696,
0.030377153307199478,
0.04264937341213226,
-0.05019374564290047,
-0.058884553611278534,
0.06171731278300285,
0.0014122826978564262,
-0.0026903238613158464,
-0.029681773856282234,
-0.013562151230871677,
-0.017536357045173645,
-0.08399666100740433,
-0.0204670000821352,
0.024277880787849426,
0.006870599929243326,
-0.054791685193777084,
-0.0026585871819406748,
-0.011543036438524723,
0.010219412855803967,
0.024102170020341873,
-0.07075425237417221,
-0.03205351531505585,
-0.034407831728458405,
-0.0075293234549462795,
-0.08401235193014145,
0.009353875182569027,
-0.04954057186841965,
-0.015419550240039825,
-0.03431127220392227,
-0.053830910474061966,
-0.008679164573550224,
-0.016535300761461258,
0.005779295228421688,
0.02366366796195507,
0.011401201598346233,
0.02624182403087616
] | null |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.