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arXiv · 2007.05456

Improved Analysis of UCRL2 with Empirical Bernstein Inequality

Ronan Fruit·Matteo Pirotta·Alessandro Lazaric
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Abstract

We consider the problem of exploration-exploitation in communicating Markov Decision Processes. We provide an analysis of UCRL2 with Empirical Bernstein inequalities (UCRL2B). For any MDP with $S$ states, $A$ actions, $\Gamma \leq S$ next states and diameter $D$, the regret of UCRL2B is bounded as $\widetilde{O}(\sqrt{D\Gamma S A T})$.

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Ronan Fruit, Matteo Pirotta, Alessandro Lazaric. 2020-07-10. Improved Analysis of UCRL2 with Empirical Bernstein Inequality. https://arxiv.org/abs/2007.05456

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