Mathematics – Statistics Theory
Scientific paper
2009-05-17
Machine Learning 85 (2011) 361--391
Mathematics
Statistics Theory
Scientific paper
We propose minimum empirical divergence (MED) policy for the multiarmed bandit problem. We prove asymptotic optimality of the proposed policy for the case of finite support models. In our setting, Burnetas and Katehakis has already proposed an asymptotically optimal policy. For choosing an arm our policy uses a criterion which is dual to the quantity used in Burnetas and Katehakis. Our criterion is easily computed by a convex optimization technique and has an advantage in practical implementation. We confirm by simulations that MED policy demonstrates good performance in finite time in comparison to other currently popular policies.
Honda Junya
Takemura Akimichi
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