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arXiv 2501.08907cs.LGcs.AI

PIQL: 用于离线强化学习的投影隐式Q学习与支持约束

PIQL: Projective Implicit Q-Learning with Support Constraint for Offline Reinforcement Learning

Institut Polytechnique de Paris(巴黎理工学院)

Xinchen Han, Hossam Afifi, Michel Marot

AI总结:

PIQL通过引入投影和支持约束改进隐式Q学习,提升离线强化学习的适应性和性能,实现多步价值估计和更严格的有利动作标准,在多个基准上取得最佳效果。

摘要:

离线强化学习(RL)面临由于分布外(OOD)动作导致的外推误差根本性挑战。隐式Q学习(IQL)利用期望回归实现样本内学习。然而,IQL依赖于固定的期望回归超参数和基于密度的策略改进方法,这两种方法都限制了其适应性和性能。在本文中,我们提出了一种PIQL,即一种增强了支持约束的IQL投影变种。在策略评估阶段,PIQL将固定的期望回归超参数替换为基于投影的参数,并将一步价值估计扩展为多步公式。在策略改进阶段,PIQL采用支持约束代替密度约束,确保与策略评估更紧密地对齐。理论上,我们证明PIQL保持了期望回归和样本内学习框架,保证了单调的策略改进,并引入了一个逐步更加严格的有利动作标准。在D4RL和NeoRL2基准上的实验表明,PIQL在多样化的领域中实现了稳健的提升,整体上达到了最先进的性能。

英文摘要:

Offline Reinforcement Learning (RL) faces a fundamental challenge of extrapolation errors caused by out-of-distribution (OOD) actions. Implicit Q-Learning (IQL) employs expectile regression to achieve in-sample learning. Nevertheless, IQL relies on a fixed expectile hyperparameter and a density-based policy improvement method, both of which impede its adaptability and performance. In this paper, we propose Projective IQL (PIQL), a projective variant of IQL enhanced with a support constraint. In the policy evaluation stage, PIQL substitutes the fixed expectile hyperparameter with a projection-based parameter and extends the one-step value estimation to a multi-step formulation. In the policy improvement stage, PIQL adopts a support constraint instead of a density constraint, ensuring closer alignment with the policy evaluation. Theoretically, we demonstrate that PIQL maintains the expectile regression and in-sample learning framework, guarantees monotonic policy improvement, and introduces a progressively more rigorous criterion for advantageous actions. Experiments on D4RL and NeoRL2 benchmarks demonstrate robust gains across diverse domains, achieving state-of-the-art performance overall.

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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