具有时变步长的投影子梯度法的收敛率

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-08 DOI:10.1007/s11590-024-02142-9

Zhihan Zhu, Yanhao Zhang, Yong Xia

引用次数: 0

摘要

我们为步长随时间变化的经典投影子梯度法建立了最佳遍历收敛率。即使我们略微增加最近点的权重，从而放宽遍历意义，这一收敛率也不会改变。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Convergence rate of projected subgradient method with time-varying step-sizes

We establish the optimal ergodic convergence rate for the classical projected subgradient method with time-varying step-sizes. This convergence rate remains the same even if we slightly increase the weight of the most recent points, thereby relaxing the ergodic sense.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.