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Bibliographic Details
Main Authors: Cheng, Zhuoyu, Hatano, Kohei, Takimoto, Eiji
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.20734
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Table of Contents:
  • We consider a bandit optimization problem for nonconvex and non-smooth functions, where in each trial the loss function is the sum of a linear function and a small but arbitrary perturbation chosen after observing the player's choice. We give both expected and high probability regret bounds for the problem. Our result also implies an improved high-probability regret bound for the bandit linear optimization, a special case with no perturbation. We also give a lower bound on the expected regret.