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Satyen Kale
Proceedings of 27th Conference on Learning Theory (COLT), 2014

We consider the problem of minimizing regret in the setting of advice-efficient multiarmed bandits with expert advice. We give an algorithm for the setting of K arms and N experts out of which we are allowed to query and use only M experts’ advice in each round, which has a regret bound of ˜O(min{K,M}NMT) after T rounds. We also prove that any algorithm for this problem must have expected regret at least ˜Ω(min{K,M}NMT), thus showing that our upper bound is nearly tight. This solves the COLT 2013 open problem of Seldin et al.