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About this paper

Yuxin Chen, Yuejie Chi, Jianqing Fan, Gen Li, Yuting Wei, Yuling Yan

The monograph synthesizes finite-sample guarantees for tabular reinforcement learning across generative-model, online, and offline data settings, comparing algorithmic upper bounds with minimax lower bounds. It explains how sampling conditions shape effective methods and uncertainty strategies. Online, MVP achieves high-probability regret O(min{√(SAH³K), HK}) for every K ≥ 1, matching the minimax lower bound up to logarithmic factors in finite-horizon nonstationary MDPs.

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