Multiarmed Bandits With Limited Expert Advice

author: Satyen Kale, Yahoo! Research
published: July 15, 2014,   recorded: June 2014,   views: 2580


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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. (2013).

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