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arXiv 2610.21548cs.LG

部分可观测马尔可夫决策过程下带约束强化学习的有限时间保证

Finite-Time Guarantees for Constrained Reinforcement Learning under Partial Observability

University of Padova(帕多瓦大学);EPFL(洛桑联邦理工学院);SYCAMORE

Valentina Zaccaria, Philip Jordan, Tingting Ni, Gian Antonio Susto, Maryam Kamgarpour

AI总结:

针对部分可观测带约束强化学习的挑战,提出基于有限历史窗口近似的原-对偶算法,获首个联合约束奖励次优性与约束违反的非渐近保证,实验验证其有效性。

摘要:

我们研究带约束的部分可观测马尔可夫决策过程(CPOMDP)中的强化学习问题,智能体仅利用底层状态的不完整信息最大化奖励并满足成本约束。状态可观测性的缺失可能使最优策略依赖任意长的观测-行动历史,给规划与学习带来挑战。我们利用部分可观测马尔可夫决策过程(POMDP)有限记忆近似的最新进展,将有限历史窗口表示为带约束马尔可夫决策过程(MDP)的状态,进而提出一种原-对偶算法,该算法提供了首个非渐近保证,可联合约束原CPOMDP中的平均奖励次优性与约束违反情况。一个关键挑战在于,该有限窗口近似会同时影响奖励值与可行策略集。在滤波器稳定性假设下,我们推导了有限状态模型中最优性与可行性和原CPOMDP中对应指标的关联边界,其近似误差随窗口长度呈几何级数衰减。在部分可观测网格世界中的实验验证了我们方法的有效性。

英文摘要:

We study reinforcement learning in constrained partially observable Markov decision processes (CPOMDPs), where an agent maximizes reward subject to a cost constraint using only incomplete information about the underlying state. The lack of state observability may require optimal policies to depend on arbitrarily long observation-action histories, making planning and learning challenging. We leverage recent advances in finite-memory approximations of POMDPs and represent finite history windows as states of a constrained MDP. We then develop a primal--dual algorithm that provides the first non-asymptotic guarantees that jointly bound average reward suboptimality and constraint violation in the original CPOMDP. A key challenge is that this finite-window approximation affects both reward values and the set of feasible policies. Under a filter-stability assumption, we derive bounds relating optimality and feasibility in the finite-state model to those in the original CPOMDP, with approximation errors that decay geometrically with the window length. Experiments in partially observable gridworlds demonstrate the effectiveness of our approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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