一类非凸非光滑问题的修正第二 APG 方法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-06 DOI:10.1007/s11590-024-02132-x

Kexin Ren, Chunguang Liu, Lumiao Wang

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引用次数: 0

摘要

在本文中，我们考虑了 Lin 和 Liu（Optim Lett 13(4), 805-824, 2019）中介绍的修正的第二加速近似梯度算法（APG\(_{s}\)），讨论了该方法在更一般情况下的行为，证明了在较弱假设下的收敛特性。最后，我们进行了数值实验来支持我们的理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

The modified second APG method for a class of nonconvex nonsmooth problems

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The modified second APG method for a class of nonconvex nonsmooth problems

In this paper, we consider the modified second accelerated proximal gradient algorithm (APG\(_{s}\)) introduced in Lin and Liu (Optim Lett 13(4), 805–824, 2019), discuss the behaviour of this method on more general cases, prove the convergence properties under weaker assumptions. Finally, numerical experiments are performed to support our theoretical results.

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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.