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Paper · arXiv

Online Learning with Gradient-Variation Interval Regret

This paper investigates non-stationary online learning using the metric of interval regret, which requires an online algorithm to perform well over every time interval. We propose the first online learning algorithm that achieves an interval regret bound scaling with gradient variation, a fundamental measure of the cumulative change in online function gradients, which relates to various problem-dependent quantities and is closely connected to stochastic optimization and other problems. Our method employs a simple and efficient two-layer online ensemble structure that achieves strong theoretical guarantees. Specifically, it enjoys a regret bound that simultaneously adapts to various proble...

AuthorsYan-Feng Xie, Shuche Wang, Peng Zhao et al.
Primary categorycs.LG
Published2 June 2026
Last updated at source2 June 2026
cs.LGstat.ML
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