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BATCHED BANDIT PROBLEMS

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OA
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V
Vianney Perchet *
P
Philippe Rigollet *
S
Sylvain Chassang *
E
Erik Snowberg *
DOI:10.1214/15-AOS1381delete
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Abstract

Abstract

En 中文
Motivated by practical applications, chiefly clinical trials, we study the regret achievable for stochastic bandits under the constraint that the employed policy must split trials into a small number of batches. We propose a simple policy, and show that a very small number of batches gives close to minimax optimal regret bounds. As a byproduct, we derive optimal policies with low switching cost for stochastic bandits.
Keywords:
Multi-armed bandit problems
regret bounds
batches
multi-phase allocation
grouped clinical trials
sample size determination
switching cost
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Journal

Annals of Statistics cover
Annals of Statistics
IF:
3.7
Papers:
2.8K
Citations:
2.9W

Organization

C
centre national de la recherche scientifique (cnrs)
Scholars:
24.5W
Papers: 18.2W
Citations: 279
I
Inria
Scholars:
3.5K
Papers: 2.5K
Citations: 343
U
Universite Paris Cite
Scholars:
8.9W
Papers: 6.3W
Citations: 604
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