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Paper · arXiv

World Models with Predictable Long-Horizon Marginals

Accurate one-step predictions do not ensure that a world model's rollouts retain the data distribution. We make the model's decoded stationary law explicit by learning a decoder of a fixed Gaussian reference and constraining the behaviour-averaged transition to preserve that reference. For controlled systems, a joint transition uses a conditional action chart to preserve behaviour occupancy without requiring invariance at each fixed action. Joint state--action rotations and parallel Gaussian noise give an exactly preserving transition with a tractable conditional density. We derive an absolute convergence bound from finite initialization banks and control departure from the reference thro...

AuthorsYuhao Du, Shunian Chen
Primary categorycs.AI
Published26 September 2026
Last updated at source26 September 2026
cs.AI
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