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Future Information-Directed Sampling for Bayesian Nonstationary Bandits

Exploration--exploitation is a central trade-off in bandit learning. While classical algorithms such as upper confidence bound methods and Thompson Sampling effectively balance this trade-off in stationary environments, their exploration strategies mainly reduce uncertainty about the current optimal arm, which can be insufficient in nonstationary settings where future optimal arms may differ substantially from current ones. In this paper, we propose Future Information-Directed Sampling (FIDS), a new algorithm for Bayesian nonstationary bandits that explicitly explores to gather information about future optimal arms. We show that FIDS achieves regret comparable to Thompson Sampling up to a...

AuthorsYichen Song, Alessio Russo, Aldo Pacchiano
Primary categorycs.LG
Published27 September 2026
Last updated at source27 September 2026
cs.LG
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