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arXiv 2401.03301cs.LGcs.AIstat.ML
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关于样本高效的离线强化学习:数据多样性、后验采样及更多

On Sample-Efficient Offline Reinforcement Learning: Data Diversity, Posterior Sampling, and Beyond

Johns Hopkins University(约翰斯·霍普金斯大学)

Thanh Nguyen-Tang, Raman Arora

AI总结:

本文提出数据多样性概念,统一版本空间、正则化优化和后验采样三类离线RL算法,证明它们在标准假设下样本效率可比,并首次提出具有频率派次优性界的无模型后验采样算法。

摘要:

我们旨在理解是什么促进了从历史数据集中进行序贯决策的样本高效学习,这一问题通常被称为离线强化学习(RL)。此外,我们关注那些在利用(值)函数逼近的同时能够享有样本效率的算法。在本文中,我们通过(i)提出一种数据多样性的概念来解决这些基本问题,该概念涵盖了离线RL中先前的覆盖度量概念,并(ii)利用这一概念来统一基于版本空间(VS)、正则化优化(RO)和后验采样(PS)的三类不同的离线RL算法。我们证明,在标准假设下,基于VS、RO和PS的算法能够实现可比的样本效率,这恢复了在标准假设下针对有限和线性模型类的最新次优性界。这一结果令人惊讶,因为先前的工作表明,与基于VS的算法相比,基于RO的算法具有不利的样本复杂度,而后验采样由于其探索性在离线RL中很少被考虑。值得注意的是,我们提出的用于离线RL的基于PS的无模型算法是新颖的,其次优性界是频率派(即最坏情况)性质的。

英文摘要:

We seek to understand what facilitates sample-efficient learning from historical datasets for sequential decision-making, a problem that is popularly known as offline reinforcement learning (RL). Further, we are interested in algorithms that enjoy sample efficiency while leveraging (value) function approximation. In this paper, we address these fundamental questions by (i) proposing a notion of data diversity that subsumes the previous notions of coverage measures in offline RL and (ii) using this notion to {unify} three distinct classes of offline RL algorithms based on version spaces (VS), regularized optimization (RO), and posterior sampling (PS). We establish that VS-based, RO-based, and PS-based algorithms, under standard assumptions, achieve \emph{comparable} sample efficiency, which recovers the state-of-the-art sub-optimality bounds for finite and linear model classes with the standard assumptions. This result is surprising, given that the prior work suggested an unfavorable sample complexity of the RO-based algorithm compared to the VS-based algorithm, whereas posterior sampling is rarely considered in offline RL due to its explorative nature. Notably, our proposed model-free PS-based algorithm for offline RL is {novel}, with sub-optimality bounds that are {frequentist} (i.e., worst-case) in nature.

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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