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arxiv:2509.24335

Hyperspherical Latents Improve Continuous-Token Autoregressive Generation

Published on Sep 29
· Submitted by Guolin Ke on Sep 30
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Abstract

SphereAR, an autoregressive model with hyperspherical constraints, achieves state-of-the-art performance in image generation, surpassing diffusion and masked-generation models at similar parameter scales.

AI-generated summary

Autoregressive (AR) models are promising for image generation, yet continuous-token AR variants often trail latent diffusion and masked-generation models. The core issue is heterogeneous variance in VAE latents, which is amplified during AR decoding, especially under classifier-free guidance (CFG), and can cause variance collapse. We propose SphereAR to address this issue. Its core design is to constrain all AR inputs and outputs -- including after CFG -- to lie on a fixed-radius hypersphere (constant ell_2 norm), leveraging hyperspherical VAEs. Our theoretical analysis shows that hyperspherical constraint removes the scale component (the primary cause of variance collapse), thereby stabilizing AR decoding. Empirically, on ImageNet generation, SphereAR-H (943M) sets a new state of the art for AR models, achieving FID 1.34. Even at smaller scales, SphereAR-L (479M) reaches FID 1.54 and SphereAR-B (208M) reaches 1.92, matching or surpassing much larger baselines such as MAR-H (943M, 1.55) and VAR-d30 (2B, 1.92). To our knowledge, this is the first time a pure next-token AR image generator with raster order surpasses diffusion and masked-generation models at comparable parameter scales.

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Paper author Paper submitter

We stabilize continuous-token AR image generation with one idea: hyperspherical latents.
Normalize every token (even after CFG) to a fixed radius → scale-invariant AR.
FID 1.36 (943M) / 1.54 (479M) / 1.92 (208M). Pure next-token, raster order.

code: https://github.com/guolinke/SphereAR

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