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math.ST2017★ 9 cited
Thresholding Bandit for Dose-ranging: The Impact of Monotonicity
Aurélien Garivier, Pierre Ménard, Laurent Rossi +1
We analyze the sample complexity of the thresholding bandit problem, with and without the assumption that the mean values of the arms are increasing. In each case, we provide a low…
math.ST2017★ 1 cited
Fano's inequality for random variables
Sebastien Gerchinovitz, Pierre Ménard, Gilles Stoltz
We extend Fano's inequality, which controls the average probability of events in terms of the average of some --divergences, to work with arbitrary events (not necessarily formi…