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3 papers
Problem Dependent View on Structured Thresholding Bandit Problems
James Cheshire, Pierre Ménard, Alexandra Carpentier
We investigate the problem dependent regime in the stochastic Thresholding Bandit problem (TBP) under several shape constraints. In the TBP, the objective of the learner is to outp…
Bandits with many optimal arms
Rianne de Heide, James Cheshire, Pierre Ménard +1
We consider a stochastic bandit problem with a possibly infinite number of arms. We write for the proportion of optimal arms and for the minimal mean-gap between optimal…
The Influence of Shape Constraints on the Thresholding Bandit Problem
James Cheshire, Pierre Menard, Alexandra Carpentier
We investigate the stochastic Thresholding Bandit problem (TBP) under several shape constraints. On top of (i) the vanilla, unstructured TBP, we consider the case where (ii) the se…