2016 JMLR JMLR 2016

An Information-Theoretic Analysis of Thompson Sampling

Abstract

We provide an information-theoretic analysis of Thompson sampling that applies across a broad range of online optimization problems in which a decision-maker must learn from partial feedback. This analysis inherits the simplicity and elegance of information theory and leads to regret bounds that scale with the entropy of the optimal-action distribution. This strengthens preexisting results and yields new insight into how information improves performance. [abs] [ pdf ][ bib ] © JMLR 2016. (edit, beta)

🌉 Interdisciplinary Bridge — Artificial Intelligence and Mathematics & Optimization
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