An optimal algorithm for the Thresholding Bandit Problem

27 May 2016Andrea LocatelliMaurilio GutzeitAlexandra Carpentier

We study a specific \textit{combinatorial pure exploration stochastic bandit problem} where the learner aims at finding the set of arms whose means are above a given threshold, up to a given precision, and \textit{for a fixed time horizon}. We propose a parameter-free algorithm based on an original heuristic, and prove that it is optimal for this problem by deriving matching upper and lower bounds... (read more)

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