Equivariant Image Modeling

Fuente: arXiv
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Autores principales: Dong, Ruixiao, Xu, Mengde, Geng, Zigang, Li, Li, Hu, Han, Gu, Shuyang
Formato: Preprint
Publicado: 2025
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author Dong, Ruixiao
Xu, Mengde
Geng, Zigang
Li, Li
Hu, Han
Gu, Shuyang
author_facet Dong, Ruixiao
Xu, Mengde
Geng, Zigang
Li, Li
Hu, Han
Gu, Shuyang
contents Current generative models, such as autoregressive and diffusion approaches, decompose high-dimensional data distribution learning into a series of simpler subtasks. However, inherent conflicts arise during the joint optimization of these subtasks, and existing solutions fail to resolve such conflicts without sacrificing efficiency or scalability. We propose a novel equivariant image modeling framework that inherently aligns optimization targets across subtasks by leveraging the translation invariance of natural visual signals. Our method introduces (1) column-wise tokenization which enhances translational symmetry along the horizontal axis, and (2) windowed causal attention which enforces consistent contextual relationships across positions. Evaluated on class-conditioned ImageNet generation at 256x256 resolution, our approach achieves performance comparable to state-of-the-art AR models while using fewer computational resources. Systematic analysis demonstrates that enhanced equivariance reduces inter-task conflicts, significantly improving zero-shot generalization and enabling ultra-long image synthesis. This work establishes the first framework for task-aligned decomposition in generative modeling, offering insights into efficient parameter sharing and conflict-free optimization. The code and models are publicly available at https://github.com/drx-code/EquivariantModeling.
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id arxiv_https___arxiv_org_abs_2503_18948
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publishDate 2025
record_format arxiv
spellingShingle Equivariant Image Modeling
Dong, Ruixiao
Xu, Mengde
Geng, Zigang
Li, Li
Hu, Han
Gu, Shuyang
Computer Vision and Pattern Recognition
Current generative models, such as autoregressive and diffusion approaches, decompose high-dimensional data distribution learning into a series of simpler subtasks. However, inherent conflicts arise during the joint optimization of these subtasks, and existing solutions fail to resolve such conflicts without sacrificing efficiency or scalability. We propose a novel equivariant image modeling framework that inherently aligns optimization targets across subtasks by leveraging the translation invariance of natural visual signals. Our method introduces (1) column-wise tokenization which enhances translational symmetry along the horizontal axis, and (2) windowed causal attention which enforces consistent contextual relationships across positions. Evaluated on class-conditioned ImageNet generation at 256x256 resolution, our approach achieves performance comparable to state-of-the-art AR models while using fewer computational resources. Systematic analysis demonstrates that enhanced equivariance reduces inter-task conflicts, significantly improving zero-shot generalization and enabling ultra-long image synthesis. This work establishes the first framework for task-aligned decomposition in generative modeling, offering insights into efficient parameter sharing and conflict-free optimization. The code and models are publicly available at https://github.com/drx-code/EquivariantModeling.
title Equivariant Image Modeling
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2503.18948