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This paper presents a fundamental theoretical limitation regarding the physical implementation of reinforcement-learning-driven reasoning in hardware, specifically showing that "chain of thought" dynamics are incompatible with Lyapunov stability under external reward potentials. The findings bridge condensed matter physics and machine learning by proving constraints on how certain advanced AI reasoning architectures can be realized in physical neural networks.
Source coveringarXiv
What this isA model's reading of the article and related coverage, written for aiqbench. Not the publisher's words.

On physical implementability of reinforcement-learning-driven reasoning

arXiv1 min read

arXiv:2610.14131v1 Announce Type: cross Abstract: In the machine learning community, the reinforcement-learning-driven reasoning process has been intensively studied since around 2025. In this article, we present a negative result on the hardware implementation of this reinforcement-learning-driven reasoning process in a physical neural network model in the presence of a reward external potential energy for a given reward. In this hardware implementation, the existence of a chain of thought in dynamics contradicts the Lyapunov stability of the system.

Abstract:In the machine learning community, the reinforcement-learning-driven reasoning process has been intensively studied since around 2025. In this article, we present a negative result on the hardware implementation of this reinforcement-learning-driven reasoning process in a physical neural network model in the presence of a reward external potential energy for a given reward. In this hardware implementation, the existence of a chain of thought in dynamics contradicts the Lyapunov stability of the system.

Disordered Systems and Neural Networks (cond-mat.dis-nn); Machine Learning (cs.LG)

arXiv:2610.14131 [cond-mat.dis-nn]

(or arXiv:2610.14131v1 [cond-mat.dis-nn] for this version)

https://doi.org/10.48550/arXiv.2610.14131 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 172 words

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