On Thompson Sampling and Asymptotic Optimality

Jan Leike, Tor Lattimore, Laurent Orseau, Marcus Hutter

Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence

Best Sister Conferences. Pages 4889-4893.

https://doi.org/10.24963/ijcai.2017/688

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Abstract

We discuss some recent results on Thompson sampling for nonparametric reinforcement learning in countable classes of general stochastic environments. These environments can be non-Markovian, non-ergodic, and partially observable. We show that Thompson sampling learns the environment class in the sense that

(1) asymptotically its value converges in mean to the optimal value and

(2) given a recoverability assumption regret is sublinear.

We conclude with a discussion about optimality in reinforcement learning.

Keywords

  • Artificial Intelligence: machine learning
  • Artificial Intelligence: uncertainty in artificial intelligence
  • Artificial Intelligence: artificial intelligence
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