arXiv Machine Learning By Qing Feng, Tianyi Ma, Ruihao Zhu

Satisficing Regret Minimization in Bandits: Constant Rate and Light-Tailed Distribution

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The paper introduces SELECT, an algorithmic framework for satisficing regret minimization in bandit problems, achieving constant expected satisficing regret when a satisficing arm exists. A variant, SELECT‑LITE, further ensures a light‑tailed satisficing regret distribution while maintaining constant expected regret in the realizable case and sub‑linear standard regret otherwise. Experiments on synthetic data and a real‑world dynamic pricing scenario demonstrate the practical effectiveness of both algorithms.

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