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Hauptverfasser: Wang, Zijie, Zhang, Wei, Zhang, Weiming, Zhang, Fanqi, Tan, Xiao, Qin, Yipeng, Li, Guanbin
Format: Preprint
Veröffentlicht: 2026
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Online-Zugang:https://arxiv.org/abs/2605.24578
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author Wang, Zijie
Zhang, Wei
Zhang, Weiming
Zhang, Fanqi
Tan, Xiao
Qin, Yipeng
Li, Guanbin
author_facet Wang, Zijie
Zhang, Wei
Zhang, Weiming
Zhang, Fanqi
Tan, Xiao
Qin, Yipeng
Li, Guanbin
contents Video world models have achieved strong visual realism, but this does not ensure that their dynamics are truly governed by actions. In this work, we argue that action faithfulness should be understood through the compositional structure of actions, which in many embodied settings follows a group structure (e.g., SE(2) for navigation). Based on this insight, we formalize action-conditioned world modeling as realizing a group action on the state space, providing a principled criterion for evaluating dynamics beyond visual quality. To operationalize this framework, we propose a unified approach that enforces identity, inverse, and composition consistency via latent-space regularization with synthesized supervision, avoiding additional data collection. We further introduce two metrics: Group-Action Consistency (GAC) and Group-Action Robustness (GAR), to evaluate structural correctness and rollout stability. Extensive experimental results show that our method consistently improves both GAC and GAR in state-of-the-art video world models without degrading perceptual quality.
format Preprint
id arxiv_https___arxiv_org_abs_2605_24578
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle World Models as Group Actions
Wang, Zijie
Zhang, Wei
Zhang, Weiming
Zhang, Fanqi
Tan, Xiao
Qin, Yipeng
Li, Guanbin
Computer Vision and Pattern Recognition
Video world models have achieved strong visual realism, but this does not ensure that their dynamics are truly governed by actions. In this work, we argue that action faithfulness should be understood through the compositional structure of actions, which in many embodied settings follows a group structure (e.g., SE(2) for navigation). Based on this insight, we formalize action-conditioned world modeling as realizing a group action on the state space, providing a principled criterion for evaluating dynamics beyond visual quality. To operationalize this framework, we propose a unified approach that enforces identity, inverse, and composition consistency via latent-space regularization with synthesized supervision, avoiding additional data collection. We further introduce two metrics: Group-Action Consistency (GAC) and Group-Action Robustness (GAR), to evaluate structural correctness and rollout stability. Extensive experimental results show that our method consistently improves both GAC and GAR in state-of-the-art video world models without degrading perceptual quality.
title World Models as Group Actions
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2605.24578