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We address the problem of learning in an online setting where the learner repeatedly observes features, selects among a set of actions, and receives reward for the action taken.
We consider a Kullback-Leibler-based algorithmfor the stochastic multi-armed bandit prob- lem in the case of distributions with finite supports (not necessarily known beforehand), whose asymptotic r...
We present two alternative ways to apply PAC-Bayesian analysis to sequences of dependent random variables. The first is based on a new lemma that enables to bound expectations of convex functions of...
This paper presents a finite-time analysis of the KL-UCB algorithm, an online, horizon-free index policy for stochastic bandit problems. We prove two distinct results: first, for arbitrary bounded rew...
We consider a bandit problem which involves sequential sampling from two populations (arms). Each arm produces a noisy reward realization which depends on an observable random covariate. The goal is...
X-Armed Bandits      X-Armed Bandits  stochastic bandits       2010/3/9
We consider a generalization of stochastic bandits where the set of arms, X, is allowed to be a generic measurable space and the mean-payoff function is “locally Lipschitz” with respect to a dissimi...

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