Multiple Identifications in Multi-Armed Bandits


Séebastian Bubeck, Tengyao Wang, Nitin Viswanathan ;
Proceedings of the 30th International Conference on Machine Learning, PMLR 28(1):258-265, 2013.


We study the problem of identifying the top m arms in a multi-armed bandit game. Our proposed solution relies on a new algorithm based on successive rejects of the seemingly bad arms, and successive accepts of the good ones. This algorithmic contribution allows to tackle other multiple identifications settings that were previously out of reach. In particular we show that this idea of successive accepts and rejects applies to the multi-bandit best arm identification problem.

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