arXiv:2511.02567cs.LGcs.AI2025-11NeurIPS被引 2

提出自适应邻域约束,解决离线强化学习中的分布外动作问题。

Adaptive Neighborhood-Constrained Q Learning for Offline Reinforcement Learning

  • 用数据点邻域的并集限制目标动作,避免分布外误差。
  • 在标准基准上表现超越现有方法,噪声和小样本下仍稳定。
  • 无需建模行为策略,且可对每个数据点动态调整保守程度。

离线强化学习因分布外(OOD)动作导致的外推误差而受限。现有算法通常对动作选择施加约束,可分为密度、支持和样本三类。但密度与样本约束过于保守,支持约束虽宽松却难准确建模行为策略。为此,本文提出一种新邻域约束:将贝尔曼目标中的动作选择限制在数据集中动作邻域的并集中。理论上,该约束在特定条件下可控制外推误差与分布偏移,并近似支持约束,无需建模行为策略。同时保持较高灵活性,可通过自适应半径实现逐点保守性。实践中,以数据质量为依据设计自适应邻域约束,结合高效双层优化框架,提出ANQ算法,在标准离线强化学习基准上达到当前最优性能,且在噪声或数据有限场景中表现出强鲁棒性。

原文摘要 · Abstract (English)

Offline reinforcement learning (RL) suffers from extrapolation errors induced by out-of-distribution (OOD) actions. To address this, offline RL algorithms typically impose constraints on action selection, which can be systematically categorized into density, support, and sample constraints. However, we show that each category has inherent limitations: density and sample constraints tend to be overly conservative in many scenarios, while the support constraint, though least restrictive, faces challenges in accurately modeling the behavior policy. To overcome these limitations, we propose a new neighborhood constraint that restricts action selection in the Bellman target to the union of neighborhoods of dataset actions. Theoretically, the constraint not only bounds extrapolation errors and distribution shift under certain conditions, but also approximates the support constraint without requiring behavior policy modeling. Moreover, it retains substantial flexibility and enables pointwise conservatism by adapting the neighborhood radius for each data point. In practice, we employ data quality as the adaptation criterion and design an adaptive neighborhood constraint. Building on an efficient bilevel optimization framework, we develop a simple yet effective algorithm, Adaptive Neighborhood-constrained Q learning (ANQ), to perform Q learning with target actions satisfying this constraint. Empirically, ANQ achieves state-of-the-art performance on standard offline RL benchmarks and exhibits strong robustness in scenarios with noisy or limited data.

强化学习离线学习约束优化自适应

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