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Paper · arXiv

Identifiable World Models from Pretrained Diffusion Representations

Diffusion-based world models can generate and predict trajectories in high-dimensional dynamical systems, but predictive accuracy does not imply that their latent coordinates recover the underlying state variables or causal interactions. We ask whether a frozen pretrained diffusion model can be equipped with identifiable coordinates without retraining its generative backbone. We show that auxiliary-variable nonlinear ICA guarantees can be transferred to Contrastive Diffusion Alignment (ConDA), which learns only a lightweight alignment map on top of frozen diffusion latents. Under standard TCL/GCL assumptions, the aligned representation identifies latent dynamical states up to permutation ...

AuthorsRuchi Sandilya, Conor Liston, Logan Grosenick
Primary categorycs.LG
Published4 October 2026
Last updated at source4 October 2026
cs.LG
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