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arXiv · 1703.07710

Unifying PAC and Regret: Uniform PAC Bounds for Episodic Reinforcement Learning

Christoph Dann·Tor Lattimore·Emma Brunskill
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Abstract

Statistical performance bounds for reinforcement learning (RL) algorithms can be critical for high-stakes applications like healthcare. This paper introduces a new framework for theoretically measuring the performance of such algorithms called Uniform-PAC, which is a strengthening of the classical Probably Approximately Correct (PAC) framework. In contrast to the PAC framework, the uniform version may be used to derive high probability regret guarantees and so forms a bridge between the two setups that has been missing in the literature. We demonstrate the benefits of the new framework for finite-state episodic MDPs with a new algorithm that is Uniform-PAC and simultaneously achieves optimal regret and PAC guarantees except for a factor of the horizon.

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Christoph Dann, Tor Lattimore, Emma Brunskill. 2018-01-02. Unifying PAC and Regret: Uniform PAC Bounds for Episodic Reinforcement Learning. https://arxiv.org/abs/1703.07710

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