Pure Exploration with Multiple Correct Answers

Rémy Degenne; Wouter M. Koolen

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arXiv · 1902.03475

Pure Exploration with Multiple Correct Answers

Rémy Degenne·Wouter M. Koolen

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Abstract

We determine the sample complexity of pure exploration bandit problems with multiple good answers. We derive a lower bound using a new game equilibrium argument. We show how continuity and convexity properties of single-answer problems ensures that the Track-and-Stop algorithm has asymptotically optimal sample complexity. However, that convexity is lost when going to the multiple-answer setting. We present a new algorithm which extends Track-and-Stop to the multiple-answer case and has asymptotic sample complexity matching the lower bound.

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Rémy Degenne, Wouter M. Koolen. 2019-02-09. Pure Exploration with Multiple Correct Answers. https://arxiv.org/abs/1902.03475

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