Q-Learning: Theory and Applications

By Jesse Clifton, Eric B. Laber. 2020

460 citations recorded by the source corpus.

Q-learning, originally an incremental algorithm for estimating an optimal decision strategy in an infinite-horizon decision problem, now refers to a general class of reinforcement learning methods widely used in statistics and artificial intelligence. In the context of personalized medicine, finite-horizon Q-learning is the workhorse for estimating optimal treatment strategies, known as treatment regimes. Infinite-horizon Q-learning is also increasingly relevant in the growing field of mobile health. In computer science, Q-learning methods have achieved remarkable performance in domains such as game-playing and robotics. In this article, we ( a) review the history of Q-learning in computer science and statistics, ( b) formalize finite-horizon Q-learning within the potential outcomes framework and discuss the inferential difficulties for which it is infamous, and ( c) review variants of infinite-horizon Q-learning and the exploration-exploitation problem, which arises in decision problems with a long time horizon. We close by discussing issues arising with the use of Q-learning in practice, including arguments for combining Q-learning with direct-search methods; sample size considerations for sequential, multiple assignment randomized trials; and possibilities for combining Q-learning with model-based methods.

Subfields: Management Science and Operations Research, Statistics and Probability

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In Management Science and Operations Research

  1. Stefan Wager
  2. Xinkun Nie
  3. Emma Brunskill
  4. Susan Athey
  5. Nathan Kallus
  6. Ian Osband
  7. Brendan O'Donoghue
  8. Lihong Li

In Statistics and Probability

  1. Stefan Wager
  2. Xinkun Nie
  3. Emma Brunskill
  4. Susan Athey
  5. Edward H. Kennedy
  6. Mihaela van der Schaar
  7. Liangyuan Hu
  8. Guido W. Imbens

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