常步长次梯度方法不稳定的充分条件

Sufficient Conditions for Instability of the Subgradient Method with Constant Step Size

SIAM Journal on Optimization · 2024
被引 0
ABS 3

中文导读

研究了常步长次梯度方法在局部Lipschitz半代数函数局部最小值附近不稳定的充分条件,这些条件适用于鲁棒主成分分析和神经网络中的虚假局部最小值。

Abstract

We provide sufficient conditions for instability of the subgradient method with constant step size around a local minimum of a locally Lipschitz semialgebraic function. They are satisfied by several spurious local minima arising in robust principal component analysis and neural networks.<br>

优化理论次梯度方法非光滑分析机器学习