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arXiv 2608.17181cs.LGcs.GT

作为(离散)势理论的强化学习

Reinforcement Learning as (Discrete) Potential Theory

Christopher Connolly

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中文总结 AI 辅助

本文回顾强化学习与概率论、势理论的联系,在固定策略假设下从势理论视角研究强化学习的表示与算法,该视角或可提升样本效率并施加形式约束,且该框架可扩展至非线性情形。

中文摘要 AI 辅助

强化学习(RL)理论通过马尔可夫链从根本上依赖于概率论,而概率论与势理论之间存在深刻联系。本文回顾该联系,并在固定策略假设下,从势理论视角探讨核心强化学习表示与算法,该视角或能为提升样本效率及施加可应用于RL的形式约束提供路径;当放松固定策略假设时,线性势理论框架可自然扩展至非线性情形。

英文摘要

Reinforcement learning (RL) theory fundamentally depends on probability theory through the Markov chain. There is a deep connection between probability theory and potential theory. This paper reviews that connection and explores the potential-theoretic viewpoint for core reinforcement learning representations and algorithms under a fixed-policy assumption. This viewpoint may offer a path for improved sample efficiency and formal constraints that can be applied to RL. When the fixed-policy assumption is relaxed, the linear potential theory framework can be naturally extended to the nonlinear case.

发表机构

  • SRI International(SRI国际)
  • Computer Science Laboratory(计算机科学实验室)

机构由 AI 辅助整理,请以论文原文为准。

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