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Aug, 2024
广义平滑性下的梯度变化在线学习
Gradient-Variation Online Learning under Generalized Smoothness
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Yan-Feng Xie, Peng Zhao, Zhi-Hua Zhou
TL;DR
本研究针对现有在线学习方法中对梯度光滑性的固定限制提出了问题,探索了一种广义平滑性条件下的梯度变化在线学习方法。通过扩展经典的乐观镜像下降算法,本文提出了一种在未预知曲率信息的情况下,能够同时具备最优梯度变化遗憾的单一算法结构。研究结果在快速收敛游戏和随机扩展对抗优化中具有重要的应用潜力。
Abstract
Gradient-variation
Online Learning
aims to achieve regret guarantees that scale with the variations in the gradients of online functions, which has been shown to be crucial for attaining fast convergence in games and robustness in
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