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arXiv 2412.00985cs.LG

带特权信息的可证明部分可观测强化学习

Provable Partially Observable Reinforcement Learning with Privileged Information

Yale University(耶鲁大学);University of Maryland(马里兰大学)

Yang Cai, Xiangyu Liu, Argyris Oikonomou, Kaiqing Zhang

AI总结:

该研究针对部分可观测强化学习场景,形式化并分析了专家蒸馏、非对称演员-评论家两种实用范式的理论性质,提出满足复杂度要求的算法,还拓展至多智能体场景,为带特权信息的RL算法提供了理论支撑。

摘要:

底层状态的部分可观测性通常给强化学习(RL)带来重大挑战。在实践中,某些特权信息(例如从模拟器获取状态的权限)已被用于训练中,并取得了显著的实证成功。为了更好地理解特权信息的优势,我们重新审视并检验了该场景下几种简单且实际使用的范式。具体而言,我们首先形式化了专家蒸馏(也称为师生学习)的实证范式,指出了其在寻找近似最优策略方面的缺陷。随后,我们确定了部分可观测环境的一个条件——确定性滤波条件,在该条件下,专家蒸馏可实现样本复杂度和计算复杂度均为多项式级的效果。此外,我们研究了另一种实用的实证范式——非对称演员-评论家,并聚焦于更具挑战性的可观测部分可观测马尔可夫决策过程场景。我们提出了一种置信度加权的非对称演员-评论家算法,该算法具有多项式级样本复杂度和准多项式级计算复杂度,其中一个关键组件是一种新的可证明预言机,用于学习在模型误设下仍能保持滤波稳定性的置信度状态,该组件本身可能具有独立研究价值。最后,我们还研究了带特权信息的部分可观测多智能体强化学习(MARL)的可证明效率。我们开发了以集中训练分散执行为特征的算法——这是实证MARL中的流行框架,在上述两种范式下均具有多项式级样本复杂度和(准)多项式级计算复杂度。与近期几项相关理论研究相比,我们的研究重点是理解受实际启发的算法范式,无需计算上难以处理的预言机。

英文摘要:

Partial observability of the underlying states generally presents significant challenges for reinforcement learning (RL). In practice, certain \emph{privileged information}, e.g., the access to states from simulators, has been exploited in training and has achieved prominent empirical successes. To better understand the benefits of privileged information, we revisit and examine several simple and practically used paradigms in this setting. Specifically, we first formalize the empirical paradigm of \emph{expert distillation} (also known as \emph{teacher-student} learning), demonstrating its pitfall in finding near-optimal policies. We then identify a condition of the partially observable environment, the \emph{deterministic filter condition}, under which expert distillation achieves sample and computational complexities that are \emph{both} polynomial. Furthermore, we investigate another useful empirical paradigm of \emph{asymmetric actor-critic}, and focus on the more challenging setting of observable partially observable Markov decision processes. We develop a belief-weighted asymmetric actor-critic algorithm with polynomial sample and quasi-polynomial computational complexities, in which one key component is a new provable oracle for learning belief states that preserve \emph{filter stability} under a misspecified model, which may be of independent interest. Finally, we also investigate the provable efficiency of partially observable multi-agent RL (MARL) with privileged information. We develop algorithms featuring \emph{centralized-training-with-decentralized-execution}, a popular framework in empirical MARL, with polynomial sample and (quasi-)polynomial computational complexities in both paradigms above. Compared with a few recent related theoretical studies, our focus is on understanding practically inspired algorithmic paradigms, without computationally intractable oracles.

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