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Algebraic Consistency Alone Does Not Certify Temporal Structure in Latent Action Models

arXiv · AI, language, vision and robotics · article · Sep 20, 2026 · UTC

Latent action models infer a code for the transition between two frames of action-free video. Recent methods regularise this code to compose additively and reverse antisymmetrically, and report order-of-magnitude reductions in the resulting errors as a label-free certificate that the code has captured temporal structure. We show that this conclusion does not follow. Reconstruction drives the decoded transition toward a difference of state features, for which both identities hold for any pairing, a solution the metric cannot distinguish from one encoding nuisance state or a coordinate conventio

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