Create model.py
Browse files
model.py
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| 1 |
+
# Copyright (c) Meta Platforms, Inc. and affiliates.
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| 2 |
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# All rights reserved.
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| 3 |
+
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| 4 |
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# This source code is licensed under the license found in the
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| 5 |
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# LICENSE file in the root directory of this source tree.
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| 6 |
+
# --------------------------------------------------------
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| 7 |
+
# References:
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| 8 |
+
# timm: https://github.com/rwightman/pytorch-image-models/tree/master/timm
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| 9 |
+
# DeiT: https://github.com/facebookresearch/deit
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| 10 |
+
# --------------------------------------------------------
|
| 11 |
+
|
| 12 |
+
from functools import partial
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| 13 |
+
|
| 14 |
+
import torch
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| 15 |
+
import torch.nn as nn
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| 16 |
+
import numpy as np
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| 17 |
+
from timm.models.vision_transformer import PatchEmbed, Block
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| 18 |
+
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| 19 |
+
from huggingface_hub import PyTorchModelHubMixin
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| 20 |
+
from timm.models.layers import DropPath
|
| 21 |
+
import math
|
| 22 |
+
import torch.nn.functional as F
|
| 23 |
+
|
| 24 |
+
def get_2d_sincos_pos_embed(embed_dim, grid_size, cls_token=False):
|
| 25 |
+
"""
|
| 26 |
+
grid_size: int of the grid height and width
|
| 27 |
+
return:
|
| 28 |
+
pos_embed: [grid_size*grid_size, embed_dim] or [1+grid_size*grid_size, embed_dim] (w/ or w/o cls_token)
|
| 29 |
+
"""
|
| 30 |
+
grid_h = np.arange(grid_size, dtype=np.float32)
|
| 31 |
+
grid_w = np.arange(grid_size, dtype=np.float32)
|
| 32 |
+
grid = np.meshgrid(grid_w, grid_h) # here w goes first
|
| 33 |
+
grid = np.stack(grid, axis=0)
|
| 34 |
+
|
| 35 |
+
grid = grid.reshape([2, 1, grid_size, grid_size])
|
| 36 |
+
pos_embed = get_2d_sincos_pos_embed_from_grid(embed_dim, grid)
|
| 37 |
+
if cls_token:
|
| 38 |
+
pos_embed = np.concatenate([np.zeros([1, embed_dim]), pos_embed], axis=0)
|
| 39 |
+
return pos_embed
|
| 40 |
+
|
| 41 |
+
|
| 42 |
+
def get_2d_sincos_pos_embed_from_grid(embed_dim, grid):
|
| 43 |
+
assert embed_dim % 2 == 0
|
| 44 |
+
|
| 45 |
+
# use half of dimensions to encode grid_h
|
| 46 |
+
emb_h = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[0]) # (H*W, D/2)
|
| 47 |
+
emb_w = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[1]) # (H*W, D/2)
|
| 48 |
+
|
| 49 |
+
emb = np.concatenate([emb_h, emb_w], axis=1) # (H*W, D)
|
| 50 |
+
return emb
|
| 51 |
+
|
| 52 |
+
|
| 53 |
+
def get_1d_sincos_pos_embed_from_grid(embed_dim, pos):
|
| 54 |
+
"""
|
| 55 |
+
embed_dim: output dimension for each position
|
| 56 |
+
pos: a list of positions to be encoded: size (M,)
|
| 57 |
+
out: (M, D)
|
| 58 |
+
"""
|
| 59 |
+
assert embed_dim % 2 == 0
|
| 60 |
+
omega = np.arange(embed_dim // 2, dtype=np.float32)
|
| 61 |
+
omega /= embed_dim / 2.
|
| 62 |
+
omega = 1. / 10000**omega # (D/2,)
|
| 63 |
+
|
| 64 |
+
pos = pos.reshape(-1) # (M,)
|
| 65 |
+
out = np.einsum('m,d->md', pos, omega) # (M, D/2), outer product
|
| 66 |
+
|
| 67 |
+
emb_sin = np.sin(out) # (M, D/2)
|
| 68 |
+
emb_cos = np.cos(out) # (M, D/2)
|
| 69 |
+
|
| 70 |
+
emb = np.concatenate([emb_sin, emb_cos], axis=1) # (M, D)
|
| 71 |
+
return emb
|
| 72 |
+
|
| 73 |
+
class Mlp(nn.Module):
|
| 74 |
+
def __init__(self, in_features, hidden_features=None, out_features=None, act_layer=nn.GELU, drop=0.):
|
| 75 |
+
super().__init__()
|
| 76 |
+
out_features = out_features or in_features
|
| 77 |
+
hidden_features = hidden_features or in_features
|
| 78 |
+
self.hidden_features = hidden_features
|
| 79 |
+
self.fc1 = nn.Linear(in_features, hidden_features)
|
| 80 |
+
self.act = act_layer()
|
| 81 |
+
self.fc2 = nn.Linear(hidden_features, out_features)
|
| 82 |
+
self.drop = nn.Dropout(drop)
|
| 83 |
+
|
| 84 |
+
def forward(self, x):
|
| 85 |
+
x = self.fc1(x)
|
| 86 |
+
x = self.act(x)
|
| 87 |
+
x = self.drop(x)
|
| 88 |
+
x = self.fc2(x)
|
| 89 |
+
x = self.drop(x)
|
| 90 |
+
return x
|
| 91 |
+
|
| 92 |
+
class Attention(nn.Module):
|
| 93 |
+
def __init__(
|
| 94 |
+
self, dim, num_heads=8, qkv_bias=False, qk_scale=None, attn_drop=0.,
|
| 95 |
+
proj_drop=0., attn_head_dim=None):
|
| 96 |
+
super().__init__()
|
| 97 |
+
self.num_heads = num_heads
|
| 98 |
+
head_dim = dim // num_heads
|
| 99 |
+
if attn_head_dim is not None:
|
| 100 |
+
head_dim = attn_head_dim
|
| 101 |
+
all_head_dim = head_dim * self.num_heads
|
| 102 |
+
self.scale = qk_scale or head_dim ** -0.5
|
| 103 |
+
|
| 104 |
+
self.qkv = nn.Linear(dim, all_head_dim * 3, bias=False)
|
| 105 |
+
if qkv_bias:
|
| 106 |
+
self.q_bias = nn.Parameter(torch.zeros(all_head_dim))
|
| 107 |
+
self.v_bias = nn.Parameter(torch.zeros(all_head_dim))
|
| 108 |
+
else:
|
| 109 |
+
self.q_bias = None
|
| 110 |
+
self.v_bias = None
|
| 111 |
+
|
| 112 |
+
self.attn_drop = nn.Dropout(attn_drop)
|
| 113 |
+
self.proj = nn.Linear(all_head_dim, dim)
|
| 114 |
+
self.proj_drop = nn.Dropout(proj_drop)
|
| 115 |
+
|
| 116 |
+
def forward(self, x):
|
| 117 |
+
B, N, C = x.shape
|
| 118 |
+
qkv_bias = None
|
| 119 |
+
if self.q_bias is not None:
|
| 120 |
+
qkv_bias = torch.cat((self.q_bias, torch.zeros_like(self.v_bias, requires_grad=False), self.v_bias))
|
| 121 |
+
# qkv = self.qkv(x).reshape(B, N, 3, self.num_heads, C // self.num_heads).permute(2, 0, 3, 1, 4)
|
| 122 |
+
qkv = F.linear(input=x, weight=self.qkv.weight, bias=qkv_bias)
|
| 123 |
+
qkv = qkv.reshape(B, N, 3, self.num_heads, -1).permute(2, 0, 3, 1, 4)
|
| 124 |
+
q, k, v = qkv[0], qkv[1], qkv[2] # make torchscript happy (cannot use tensor as tuple)
|
| 125 |
+
|
| 126 |
+
q = q * self.scale
|
| 127 |
+
attn = (q @ k.transpose(-2, -1))
|
| 128 |
+
|
| 129 |
+
attn = attn.softmax(dim=-1)
|
| 130 |
+
attn = self.attn_drop(attn)
|
| 131 |
+
|
| 132 |
+
x = (attn @ v).transpose(1, 2).reshape(B, N, -1)
|
| 133 |
+
x = self.proj(x)
|
| 134 |
+
x = self.proj_drop(x)
|
| 135 |
+
return x
|
| 136 |
+
|
| 137 |
+
class NormalCell(nn.Module):
|
| 138 |
+
def __init__(self, dim, num_heads, mlp_ratio=4., qkv_bias=False, qk_scale=None, drop=0., attn_drop=0.,
|
| 139 |
+
drop_path=0., act_layer=nn.GELU, norm_layer=nn.LayerNorm, class_token=False, group=1,
|
| 140 |
+
tokens_type='transformer', kernel=3, mlp_hidden_dim=None):
|
| 141 |
+
super().__init__()
|
| 142 |
+
self.norm1 = norm_layer(dim)
|
| 143 |
+
self.class_token = class_token
|
| 144 |
+
if tokens_type == 'transformer':
|
| 145 |
+
self.attn = Attention(
|
| 146 |
+
dim, num_heads=num_heads, qkv_bias=qkv_bias, qk_scale=qk_scale, attn_drop=attn_drop, proj_drop=drop)
|
| 147 |
+
else:
|
| 148 |
+
raise NotImplementedError()
|
| 149 |
+
|
| 150 |
+
self.drop_path = DropPath(drop_path) if drop_path > 0. else nn.Identity()
|
| 151 |
+
self.norm2 = norm_layer(dim)
|
| 152 |
+
mlp_hidden_dim = mlp_hidden_dim if mlp_hidden_dim is not None else int(dim * mlp_ratio)
|
| 153 |
+
PCM_dim = int(dim * mlp_ratio)
|
| 154 |
+
self.mlp = Mlp(in_features=dim, hidden_features=mlp_hidden_dim, act_layer=act_layer, drop=drop)
|
| 155 |
+
self.PCM = nn.Sequential(
|
| 156 |
+
nn.Conv2d(dim, PCM_dim, kernel, 1, kernel//2, 1, group),
|
| 157 |
+
nn.BatchNorm2d(PCM_dim),
|
| 158 |
+
nn.SiLU(inplace=True),
|
| 159 |
+
nn.Conv2d(PCM_dim, dim, kernel, 1, kernel//2, 1, group),
|
| 160 |
+
)
|
| 161 |
+
|
| 162 |
+
def forward(self, x):
|
| 163 |
+
b, n, c = x.shape
|
| 164 |
+
if self.class_token:
|
| 165 |
+
n = n - 1
|
| 166 |
+
wh = int(math.sqrt(n))
|
| 167 |
+
convX = self.drop_path(self.PCM(x[:, 1:, :].view(b, wh, wh, c).permute(0, 3, 1, 2).contiguous()).permute(0, 2, 3, 1).contiguous().view(b, n, c))
|
| 168 |
+
x = x + self.drop_path(self.attn(self.norm1(x)))
|
| 169 |
+
x[:, 1:] = x[:, 1:] + convX
|
| 170 |
+
else:
|
| 171 |
+
wh = int(math.sqrt(n))
|
| 172 |
+
x_2d = x.view(b, wh, wh, c).permute(0, 3, 1, 2).contiguous()
|
| 173 |
+
convX = self.drop_path(self.PCM(x_2d).permute(0, 2, 3, 1).contiguous().view(b, n, c))
|
| 174 |
+
x = x + self.drop_path(self.attn(self.norm1(x)))
|
| 175 |
+
x = x + convX
|
| 176 |
+
x = x + self.drop_path(self.mlp(self.norm2(x)))
|
| 177 |
+
return x
|
| 178 |
+
|
| 179 |
+
class MaskedAutoencoderViTAE(nn.Module, PyTorchModelHubMixin):
|
| 180 |
+
""" Masked Autoencoder with VisionTransformer backbone
|
| 181 |
+
"""
|
| 182 |
+
def __init__(self, img_size=224, patch_size=16, in_chans=3,
|
| 183 |
+
embed_dim=768, depth=12, num_heads=12,
|
| 184 |
+
decoder_embed_dim=512, decoder_depth=8, decoder_num_heads=16,
|
| 185 |
+
mlp_ratio=4., norm_layer=partial(nn.LayerNorm, eps=1e-6), norm_pix_loss=False, kernel=3, mlp_hidden_dim=None):
|
| 186 |
+
'''
|
| 187 |
+
@Param kernel: int, control the kernel size in PCM
|
| 188 |
+
@Param mlp_hidden_dim: int, the hidden dimenison of FFN, overwrites mlp ratio, default None
|
| 189 |
+
'''
|
| 190 |
+
super().__init__()
|
| 191 |
+
|
| 192 |
+
# --------------------------------------------------------------------------
|
| 193 |
+
# MAE encoder specifics
|
| 194 |
+
self.patch_embed = PatchEmbed(img_size, patch_size, in_chans, embed_dim)
|
| 195 |
+
num_patches = self.patch_embed.num_patches
|
| 196 |
+
|
| 197 |
+
self.cls_token = nn.Parameter(torch.zeros(1, 1, embed_dim))
|
| 198 |
+
self.pos_embed = nn.Parameter(torch.zeros(1, num_patches + 1, embed_dim), requires_grad=False) # fixed sin-cos embedding
|
| 199 |
+
|
| 200 |
+
self.blocks = nn.ModuleList([
|
| 201 |
+
NormalCell(embed_dim, num_heads, mlp_ratio, qkv_bias=True, qk_scale=None, norm_layer=norm_layer, kernel=kernel, class_token=True, group=embed_dim // 4, mlp_hidden_dim=mlp_hidden_dim)
|
| 202 |
+
for i in range(depth)])
|
| 203 |
+
self.norm = norm_layer(embed_dim)
|
| 204 |
+
# --------------------------------------------------------------------------
|
| 205 |
+
|
| 206 |
+
# --------------------------------------------------------------------------
|
| 207 |
+
# MAE decoder specifics
|
| 208 |
+
self.decoder_embed = nn.Linear(embed_dim, decoder_embed_dim, bias=True)
|
| 209 |
+
|
| 210 |
+
self.mask_token = nn.Parameter(torch.zeros(1, 1, decoder_embed_dim))
|
| 211 |
+
|
| 212 |
+
self.decoder_pos_embed = nn.Parameter(torch.zeros(1, num_patches + 1, decoder_embed_dim), requires_grad=False) # fixed sin-cos embedding
|
| 213 |
+
|
| 214 |
+
self.decoder_blocks = nn.ModuleList([
|
| 215 |
+
Block(decoder_embed_dim, decoder_num_heads, mlp_ratio, qkv_bias=True, norm_layer=norm_layer)
|
| 216 |
+
for i in range(decoder_depth)])
|
| 217 |
+
|
| 218 |
+
self.decoder_norm = norm_layer(decoder_embed_dim)
|
| 219 |
+
self.decoder_pred = nn.Linear(decoder_embed_dim, patch_size**2 * in_chans, bias=True) # encoder to decoder
|
| 220 |
+
# --------------------------------------------------------------------------
|
| 221 |
+
|
| 222 |
+
self.norm_pix_loss = norm_pix_loss
|
| 223 |
+
|
| 224 |
+
self.initialize_weights()
|
| 225 |
+
|
| 226 |
+
def initialize_weights(self):
|
| 227 |
+
# initialization
|
| 228 |
+
# initialize (and freeze) pos_embed by sin-cos embedding
|
| 229 |
+
pos_embed = get_2d_sincos_pos_embed(self.pos_embed.shape[-1], int(self.patch_embed.num_patches**.5), cls_token=True)
|
| 230 |
+
self.pos_embed.data.copy_(torch.from_numpy(pos_embed).float().unsqueeze(0))
|
| 231 |
+
|
| 232 |
+
decoder_pos_embed = get_2d_sincos_pos_embed(self.decoder_pos_embed.shape[-1], int(self.patch_embed.num_patches**.5), cls_token=True)
|
| 233 |
+
self.decoder_pos_embed.data.copy_(torch.from_numpy(decoder_pos_embed).float().unsqueeze(0))
|
| 234 |
+
|
| 235 |
+
# initialize patch_embed like nn.Linear (instead of nn.Conv2d)
|
| 236 |
+
w = self.patch_embed.proj.weight.data
|
| 237 |
+
torch.nn.init.xavier_uniform_(w.view([w.shape[0], -1]))
|
| 238 |
+
|
| 239 |
+
# timm's trunc_normal_(std=.02) is effectively normal_(std=0.02) as cutoff is too big (2.)
|
| 240 |
+
torch.nn.init.normal_(self.cls_token, std=.02)
|
| 241 |
+
torch.nn.init.normal_(self.mask_token, std=.02)
|
| 242 |
+
|
| 243 |
+
# initialize nn.Linear and nn.LayerNorm
|
| 244 |
+
self.apply(self._init_weights)
|
| 245 |
+
|
| 246 |
+
def _init_weights(self, m):
|
| 247 |
+
if isinstance(m, nn.Linear):
|
| 248 |
+
# we use xavier_uniform following official JAX ViT:
|
| 249 |
+
torch.nn.init.xavier_uniform_(m.weight)
|
| 250 |
+
if isinstance(m, nn.Linear) and m.bias is not None:
|
| 251 |
+
nn.init.constant_(m.bias, 0)
|
| 252 |
+
elif isinstance(m, nn.LayerNorm):
|
| 253 |
+
nn.init.constant_(m.bias, 0)
|
| 254 |
+
nn.init.constant_(m.weight, 1.0)
|
| 255 |
+
|
| 256 |
+
def patchify(self, imgs):
|
| 257 |
+
"""
|
| 258 |
+
imgs: (N, 3, H, W)
|
| 259 |
+
x: (N, L, patch_size**2 *3)
|
| 260 |
+
"""
|
| 261 |
+
p = self.patch_embed.patch_size[0]
|
| 262 |
+
assert imgs.shape[2] == imgs.shape[3] and imgs.shape[2] % p == 0
|
| 263 |
+
|
| 264 |
+
h = w = imgs.shape[2] // p
|
| 265 |
+
x = imgs.reshape(shape=(imgs.shape[0], 3, h, p, w, p))
|
| 266 |
+
x = torch.einsum('nchpwq->nhwpqc', x)
|
| 267 |
+
x = x.reshape(shape=(imgs.shape[0], h * w, p**2 * 3))
|
| 268 |
+
return x
|
| 269 |
+
|
| 270 |
+
def unpatchify(self, x):
|
| 271 |
+
"""
|
| 272 |
+
x: (N, L, patch_size**2 *3)
|
| 273 |
+
imgs: (N, 3, H, W)
|
| 274 |
+
"""
|
| 275 |
+
p = self.patch_embed.patch_size[0]
|
| 276 |
+
h = w = int(x.shape[1]**.5)
|
| 277 |
+
assert h * w == x.shape[1]
|
| 278 |
+
|
| 279 |
+
x = x.reshape(shape=(x.shape[0], h, w, p, p, 3))
|
| 280 |
+
x = torch.einsum('nhwpqc->nchpwq', x)
|
| 281 |
+
imgs = x.reshape(shape=(x.shape[0], 3, h * p, h * p))
|
| 282 |
+
return imgs
|
| 283 |
+
|
| 284 |
+
def random_masking(self, x, mask_ratio):
|
| 285 |
+
"""
|
| 286 |
+
Perform per-sample random masking by per-sample shuffling.
|
| 287 |
+
Per-sample shuffling is done by argsort random noise.
|
| 288 |
+
x: [N, L, D], sequence
|
| 289 |
+
"""
|
| 290 |
+
N, L, D = x.shape # batch, length, dim
|
| 291 |
+
len_keep = int(L * (1 - mask_ratio))
|
| 292 |
+
|
| 293 |
+
noise = torch.rand(N, L, device=x.device) # noise in [0, 1]
|
| 294 |
+
|
| 295 |
+
# sort noise for each sample
|
| 296 |
+
ids_shuffle = torch.argsort(noise, dim=1) # ascend: small is keep, large is remove
|
| 297 |
+
ids_restore = torch.argsort(ids_shuffle, dim=1)
|
| 298 |
+
|
| 299 |
+
# keep the first subset
|
| 300 |
+
ids_keep = ids_shuffle[:, :len_keep]
|
| 301 |
+
x_masked = torch.gather(x, dim=1, index=ids_keep.unsqueeze(-1).expand(-1, -1, D))
|
| 302 |
+
|
| 303 |
+
# generate the binary mask: 0 is keep, 1 is remove
|
| 304 |
+
mask = torch.ones([N, L], device=x.device)
|
| 305 |
+
mask[:, :len_keep] = 0
|
| 306 |
+
# unshuffle to get the binary mask
|
| 307 |
+
mask = torch.gather(mask, dim=1, index=ids_restore)
|
| 308 |
+
|
| 309 |
+
return x_masked, mask, ids_restore
|
| 310 |
+
|
| 311 |
+
def forward_encoder(self, x, mask_ratio):
|
| 312 |
+
# embed patches
|
| 313 |
+
x = self.patch_embed(x)
|
| 314 |
+
|
| 315 |
+
# add pos embed w/o cls token
|
| 316 |
+
x = x + self.pos_embed[:, 1:, :]
|
| 317 |
+
|
| 318 |
+
# masking: length -> length * mask_ratio
|
| 319 |
+
x, mask, ids_restore = self.random_masking(x, mask_ratio)
|
| 320 |
+
|
| 321 |
+
# append cls token
|
| 322 |
+
cls_token = self.cls_token + self.pos_embed[:, :1, :]
|
| 323 |
+
cls_tokens = cls_token.expand(x.shape[0], -1, -1)
|
| 324 |
+
x = torch.cat((cls_tokens, x), dim=1)
|
| 325 |
+
|
| 326 |
+
# apply Transformer blocks
|
| 327 |
+
for blk in self.blocks:
|
| 328 |
+
x = blk(x)
|
| 329 |
+
x = self.norm(x)
|
| 330 |
+
|
| 331 |
+
return x, mask, ids_restore
|
| 332 |
+
|
| 333 |
+
def forward_decoder(self, x, ids_restore):
|
| 334 |
+
# embed tokens
|
| 335 |
+
x = self.decoder_embed(x)
|
| 336 |
+
|
| 337 |
+
# append mask tokens to sequence
|
| 338 |
+
mask_tokens = self.mask_token.repeat(x.shape[0], ids_restore.shape[1] + 1 - x.shape[1], 1)
|
| 339 |
+
x_ = torch.cat([x[:, 1:, :], mask_tokens], dim=1) # no cls token
|
| 340 |
+
x_ = torch.gather(x_, dim=1, index=ids_restore.unsqueeze(-1).expand(-1, -1, x.shape[2])) # unshuffle
|
| 341 |
+
x = torch.cat([x[:, :1, :], x_], dim=1) # append cls token
|
| 342 |
+
|
| 343 |
+
# add pos embed
|
| 344 |
+
x = x + self.decoder_pos_embed
|
| 345 |
+
|
| 346 |
+
# apply Transformer blocks
|
| 347 |
+
for blk in self.decoder_blocks:
|
| 348 |
+
x = blk(x)
|
| 349 |
+
x = self.decoder_norm(x)
|
| 350 |
+
|
| 351 |
+
# predictor projection
|
| 352 |
+
x = self.decoder_pred(x)
|
| 353 |
+
|
| 354 |
+
# remove cls token
|
| 355 |
+
x = x[:, 1:, :]
|
| 356 |
+
|
| 357 |
+
return x
|
| 358 |
+
|
| 359 |
+
def forward_loss(self, imgs, pred, mask):
|
| 360 |
+
"""
|
| 361 |
+
imgs: [N, 3, H, W]
|
| 362 |
+
pred: [N, L, p*p*3]
|
| 363 |
+
mask: [N, L], 0 is keep, 1 is remove,
|
| 364 |
+
"""
|
| 365 |
+
target = self.patchify(imgs)
|
| 366 |
+
if self.norm_pix_loss:
|
| 367 |
+
mean = target.mean(dim=-1, keepdim=True)
|
| 368 |
+
var = target.var(dim=-1, keepdim=True)
|
| 369 |
+
target = (target - mean) / (var + 1.e-6)**.5
|
| 370 |
+
|
| 371 |
+
loss = (pred - target) ** 2
|
| 372 |
+
loss = loss.mean(dim=-1) # [N, L], mean loss per patch
|
| 373 |
+
|
| 374 |
+
loss = (loss * mask).sum() / mask.sum() # mean loss on removed patches
|
| 375 |
+
return loss
|
| 376 |
+
|
| 377 |
+
def forward(self, imgs, mask_ratio=0.75):
|
| 378 |
+
latent, mask, ids_restore = self.forward_encoder(imgs, mask_ratio)
|
| 379 |
+
pred = self.forward_decoder(latent, ids_restore) # [N, L, p*p*3]
|
| 380 |
+
loss = self.forward_loss(imgs, pred, mask)
|
| 381 |
+
return loss, pred, mask
|