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Paper · arXiv

Pure Exploration for a Good Policy in Reinforcement Learning with Bandit Feedback

Pure exploration in episodic Reinforcement Learning has primarily focused on Best Policy Identification (BPI), which seeks to identify a (near)-optimal policy with high confidence. Motivated by practical settings where a ``good enough'' policy suffices, we study an alternate objective of Good Policy Identification (GPI). For a given reward threshold $μ_0$, GPI only requires identifying a policy with expected reward in an episode at least $μ_0$ if such a policy exists (positive instance), or declaring None if no such policy exists (negative instance). We formalize GPI under the fixed-confidence setting. We require the output to be correct with probability $\geq 1-δ$, and seek to minimize t...

AuthorsZitian Li, Wang Chi Cheung
Primary categorycs.LG
Published22 May 2026
Last updated at source22 May 2026
cs.LG
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