arXiv:2508.07746cs.LGstat.ML2025-08综述被引 1

解析离线强化学习的理论瓶颈与算法设计启示

A Tutorial: An Intuitive Explanation of Offline Reinforcement Learning Theory

  • 从理论推导出发,梳理算法有效性的关键假设条件
  • 揭示数据覆盖不足时算法失效的不可解性边界
  • 为算法设计提供可验证的可行性判断标准

离线强化学习旨在仅基于固定轨迹数据集优化回报,无需额外环境交互。尽管算法进展迅速,理论研究也揭示了其根本挑战。本文综述了理论推导中的核心直觉及其对算法设计的启示。首先列出证明所需条件,包括函数表示与数据覆盖假设:前者决定泛化能力,后者定义数据质量要求。接着分析反例,说明在缺乏理想数据覆盖时,需海量数据才可求解,凸显离线RL的内在难度。最后探讨充分条件,这些条件不仅是理论证明的基础,更揭示了现有算法的局限性,提醒研究者在条件不满足时寻求新方法。

原文摘要 · Abstract (English)

Offline reinforcement learning (RL) aims to optimize the return given a fixed dataset of agent trajectories without additional interactions with the environment. While algorithm development has progressed rapidly, significant theoretical advances have also been made in understanding the fundamental challenges of offline RL. However, bridging these theoretical insights with practical algorithm design remains an ongoing challenge. In this survey, we explore key intuitions derived from theoretical work and their implications for offline RL algorithms. We begin by listing the conditions needed for the proofs, including function representation and data coverage assumptions. Function representation conditions tell us what to expect for generalization, and data coverage assumptions describe the quality requirement of the data. We then examine counterexamples, where offline RL is not solvable without an impractically large amount of data. These cases highlight what cannot be achieved for all algorithms and the inherent hardness of offline RL. Building on techniques to mitigate these challenges, we discuss the conditions that are sufficient for offline RL. These conditions are not merely assumptions for theoretical proofs, but they also reveal the limitations of these algorithms and remind us to search for novel solutions when the conditions cannot be satisfied.

强化学习离线学习理论分析

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