KMS Of Academy of mathematics and systems sciences, CAS
On inexact ADMMs with relative error criteria | |
Xie, Jiaxin | |
2018-12-01 | |
发表期刊 | COMPUTATIONAL OPTIMIZATION AND APPLICATIONS |
ISSN | 0926-6003 |
卷号 | 71期号:3页码:743-765 |
摘要 | In this paper, we develop two inexact alternating direction methods of multipliers (ADMMs) with relative error criteria for which only a few parameters are needed to control the error tolerance. In many practical applications, the numerical performance is often improved if a larger step-length is used. Hence in this paper we also consider to seek a larger step-length to update the Lagrangian multiplier for better numerical efficiency. Specifically, if we only allow one subproblem in the classic ADMM to be solved inexactly by a certain relative error criterion, then a larger step-length can be used to update the Lagrangian multiplier. Related convergence analysis of those proposed algorithms is also established under the assumption that the solution set to the KKT system of the problem is not empty. Numerical experiments on solving total variation (TV)-based image denosing and analysis sparse recovery problems are provided to demonstrate the effectiveness of the proposed methods and the advantage of taking a larger step-length. |
关键词 | Alternating direction method of multipliers (ADMM) Inexactness Relative error criteria Large step-length |
DOI | 10.1007/s10589-018-0022-2 |
语种 | 英语 |
资助项目 | China Postdoctoral Science Foundation[2017LH043] ; China Postdoctoral Science Foundation[2017M620938] |
WOS研究方向 | Operations Research & Management Science ; Mathematics |
WOS类目 | Operations Research & Management Science ; Mathematics, Applied |
WOS记录号 | WOS:000451340000005 |
出版者 | SPRINGER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/31784 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Xie, Jiaxin |
作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Xie, Jiaxin. On inexact ADMMs with relative error criteria[J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS,2018,71(3):743-765. |
APA | Xie, Jiaxin.(2018).On inexact ADMMs with relative error criteria.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS,71(3),743-765. |
MLA | Xie, Jiaxin."On inexact ADMMs with relative error criteria".COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 71.3(2018):743-765. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Xie, Jiaxin]的文章 |
百度学术 |
百度学术中相似的文章 |
[Xie, Jiaxin]的文章 |
必应学术 |
必应学术中相似的文章 |
[Xie, Jiaxin]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论