Multi-armed Bandit with Additional Observations

Donggyu Yun, Sumyeong Ahn, A. Proutière, Jinwoo Shin, Yung Yi
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Abstract

We study multi-armed bandit (MAB) problems with additional observations, where in each round, the decision maker selects an arm to play and can also observe rewards of additional arms (within a given budget) by paying certain costs. We propose algorithms that are asymptotic-optimal and order-optimal in their regrets under the settings of stochastic and adversarial rewards, respectively.
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多手强盗与额外的观察
我们用额外的观察来研究多臂盗匪(MAB)问题,在每一轮中,决策者选择一只手臂来玩,并通过支付一定的成本来观察额外武器的奖励(在给定的预算范围内)。我们分别提出了在随机奖励和对抗性奖励设置下的懊悔算法的渐近最优和序最优。
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