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Paper · arXiv

Learning Commute-Time-Preserving World Models for Planning

World models allow agents to plan in latent space by choosing a sequence of actions that most reduces the distance to a given goal state. Thus, planning can benefit from latent representations whose distances mirror commute-times in the environment. The spectral embedding space of the graph Laplacian provides such a representation, if it obeys a specific eigenvalue-dependent scaling. Unfortunately, instantiating the graph Laplacian is intractable in large, continuous environments. Self-supervised learning offers a natural route to such commute-time-preserving embeddings at scale. However, here we show that existing methods, which commonly encourage isotropic representations to prevent rep...

AuthorsMichael Hauri, Peter Buttaroni, Fabian A. Mikulasch et al.
Primary categorycs.LG
Published1 October 2026
Last updated at source1 October 2026
cs.LG
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