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Can Predicted Dynamics Exist in the Physical World?

May 2026 · arXiv.org · Vol abs/2606.00089 · 0 citations · 56 references
Computer Science

TL;DR

This work formalizes this prediction-control interface, separate the scalar trigger from its channel-wise diagnostic log, and establishes that an all-pairs displacement term is redundant within a maximum that already contains the corresponding one-step term.

Abstract

Can learned state-action proposals exist in the physical world? Before executing a proposed action sequence, a robot can inspect empirical variation and disagreement with a learned transition model. However, aggregating these diagnostic signals obscures whether a proposal is inconsistent with the predictor or merely departs from recorded behavior. We formalize this prediction-control interface, separate the scalar trigger from its channel-wise diagnostic log, and establish that an all-pairs displacement term is redundant within a maximum that already contains the corresponding one-step term. We evaluate the monitors on 700 nominal and 5,250 synthetically perturbed 32-transition PushT windows, observing only planar pusher positions and goals. The transition-RMSE baseline achieves a ROC-AUC of 0.982, compared with 0.957 for a heterogeneous maximum and 0.972 for a spread-scaled residual.

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