paper

Lipschitz-free Projected Subgradient Method with Time-varying Step-size

arXiv:2410.22336 · doi:10.1007/s40305-025-00629-5

Abstract

We introduce a novel family of time-varying step-sizes for the classical projected subgradient method, offering optimal ergodic convergence. Importantly, this approach does not depend on the Lipschitz assumption of the objective function, thereby broadening the convergence result of projected subgradient method to non-Lipschitz case.

Journal of the Operations Research Society of China, 2025