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Paper · arXiv

Adaptive Learning Rates with Surrogate Probability for Follow-the-Perturbed-Leader

Follow-the-regularized-leader framework has shown effectiveness and flexibility in online learning problems, where the choice of learning rates are known to be crucial. Recently, adaptive learning rates defined in terms of the arm-selection probabilities, obtained by solving convex optimization, have achieved improved best-of-both-worlds (BOBW) guarantees in various bandit problems. In contrast, BOBW guarantees for its computationally efficient alternative, follow-the-perturbed-leader (FTPL), remain relatively limited since its optimization-free nature ironically makes the design of adaptive, probability-dependent learning rates non-trivial. To address this challenge, we propose an adapti...

AuthorsJongyeong Lee, Junya Honda, Shinji Ito et al.
Primary categorystat.ML
Published4 June 2026
Last updated at source4 June 2026
stat.MLcs.LG
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