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Autores principales: Tang, Jinzhou, Feng, Fan, Fu, Minghao, Lin, Wenjun, Huang, Biwei, Wang, Keze
Formato: Preprint
Publicado: 2026
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Acceso en línea:https://arxiv.org/abs/2603.07545
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author Tang, Jinzhou
Feng, Fan
Fu, Minghao
Lin, Wenjun
Huang, Biwei
Wang, Keze
author_facet Tang, Jinzhou
Feng, Fan
Fu, Minghao
Lin, Wenjun
Huang, Biwei
Wang, Keze
contents Learned world models excel at interpolative generalization but fail at extrapolative generalization to novel physical properties. This limitation arises because they learn statistical correlations rather than the environment's underlying generative rules, such as physical invariances and conservation laws. We argue that learning these invariances is key to robust extrapolation. To achieve this, we first introduce \textbf{Symmetry Exploration}, an unsupervised exploration strategy where an agent is intrinsically motivated by a Hamiltonian-based curiosity bonus to actively probe and challenge its understanding of conservation laws, thereby collecting physically informative data. Second, we design a Hamiltonian-based world model that learns from the collected data, using a novel self-supervised contrastive objective to identify the invariant physical state from raw, view-dependent pixel observations. Our framework, \textbf{DreamSAC}, trained on this actively curated data, significantly outperforms state-of-the-art baselines in 3D physics simulations on tasks requiring extrapolation.
format Preprint
id arxiv_https___arxiv_org_abs_2603_07545
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle DreamSAC: Learning Hamiltonian World Models via Symmetry Exploration
Tang, Jinzhou
Feng, Fan
Fu, Minghao
Lin, Wenjun
Huang, Biwei
Wang, Keze
Computer Vision and Pattern Recognition
Artificial Intelligence
Machine Learning
Learned world models excel at interpolative generalization but fail at extrapolative generalization to novel physical properties. This limitation arises because they learn statistical correlations rather than the environment's underlying generative rules, such as physical invariances and conservation laws. We argue that learning these invariances is key to robust extrapolation. To achieve this, we first introduce \textbf{Symmetry Exploration}, an unsupervised exploration strategy where an agent is intrinsically motivated by a Hamiltonian-based curiosity bonus to actively probe and challenge its understanding of conservation laws, thereby collecting physically informative data. Second, we design a Hamiltonian-based world model that learns from the collected data, using a novel self-supervised contrastive objective to identify the invariant physical state from raw, view-dependent pixel observations. Our framework, \textbf{DreamSAC}, trained on this actively curated data, significantly outperforms state-of-the-art baselines in 3D physics simulations on tasks requiring extrapolation.
title DreamSAC: Learning Hamiltonian World Models via Symmetry Exploration
topic Computer Vision and Pattern Recognition
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2603.07545