Convergence Rate of Projected Subgradient Method with Time-varying Step-sizes

Fuente: arXiv
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Autori principali: Zhu, Zhihan, Zhang, Yanhao, Xia, Yong
Natura: Preprint
Pubblicazione: 2024
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author Zhu, Zhihan
Zhang, Yanhao
Xia, Yong
author_facet Zhu, Zhihan
Zhang, Yanhao
Xia, Yong
contents We establish the optimal ergodic convergence rate for the classical projected subgradient method with a time-varying step-size. This convergence rate remains the same even if we slightly increase the weight of the most recent points, thereby relaxing the ergodic sense.
format Preprint
id arxiv_https___arxiv_org_abs_2402_10221
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Convergence Rate of Projected Subgradient Method with Time-varying Step-sizes
Zhu, Zhihan
Zhang, Yanhao
Xia, Yong
Optimization and Control
90C25, 90C30
We establish the optimal ergodic convergence rate for the classical projected subgradient method with a time-varying step-size. This convergence rate remains the same even if we slightly increase the weight of the most recent points, thereby relaxing the ergodic sense.
title Convergence Rate of Projected Subgradient Method with Time-varying Step-sizes
topic Optimization and Control
90C25, 90C30
url https://arxiv.org/abs/2402.10221