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arXiv · 2012.02876

One-bit feedback is sufficient for upper confidence bound policies

Daniel Vial·Sanjay Shakkottai·R. Srikant
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Abstract

We consider a variant of the traditional multi-armed bandit problem in which each arm is only able to provide one-bit feedback during each pull based on its past history of rewards. Our main result is the following: given an upper confidence bound policy which uses full-reward feedback, there exists a coding scheme for generating one-bit feedback, and a corresponding decoding scheme and arm selection policy, such that the ratio of the regret achieved by our policy and the regret of the full-reward feedback policy asymptotically approaches one.

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Daniel Vial, Sanjay Shakkottai, R. Srikant. 2020-12-04. One-bit feedback is sufficient for upper confidence bound policies. https://arxiv.org/abs/2012.02876

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