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Optimal Multi-Objective Best Arm Identification with Fixed Confidence

Optimal Multi-Objective Best Arm Identification with Fixed Confidence

We consider a multi-armed bandit setting with finitely many arms, in which each arm yields an $M$-dimensional vector reward upon selection. We assume that the reward of each dimension (a.k.a. {\em objective}) is generated independently of the others. The best arm of any given objective is the arm with the …