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Dual-density-based reweighted l(1)-algorithms for a class of l(0)-minimization problems

文献类型：期刊论文

作者Xu, Jialiang1; Zhao, Yun-Bin2,3
刊名JOURNAL OF GLOBAL OPTIMIZATION
出版日期2021-04-19
页码24
关键词Merit functions for sparsity l(0)-minimization Dual-density-based algorithm Strict complementarity Bilevel optimization Convex relaxation
ISSN号0925-5001
DOI10.1007/s10898-021-01013-2
英文摘要The optimization problem with sparsity arises in many areas of science and engineering such as compressed sensing, image processing, statistical learning and data sparse approximation. In this paper, we study the dual-density-based reweighted l(1)-algorithms for a class of l(0)-minimization models which can be used to model a wide range of practical problems. This class of algorithms is based on certain convex relaxations of the reformulation of the underlying l(0)-minimization model. Such a reformulation is a special bilevel optimization problem which, in theory, is equivalent to the underlying l(0)-minimization problem under the assumption of strict complementarity. Some basic properties of these algorithms are discussed, and numerical experiments have been carried out to demonstrate the efficiency of the proposed algorithms. Comparison of numerical performances of the proposed methods and the classic reweighted l(1)-algorithms has also been made in this paper.
资助项目National Natural Science Foundation of China[12071307] ; National Natural Science Foundation of China[11771003]
WOS研究方向Operations Research & Management Science ; Mathematics
语种英语
WOS记录号WOS:000641212300001
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58496]  
专题博士后
通讯作者Zhao, Yun-Bin
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, Peoples R China
2.Chinese Univ Hong Kong, Shenzhen Res Inst Big Data, Shenzhen, Guangdong, Peoples R China
3.Univ Birmingham, Birmingham B15 2TT, W Midlands, England
推荐引用方式
GB/T 7714		 Xu, Jialiang,Zhao, Yun-Bin. Dual-density-based reweighted l(1)-algorithms for a class of l(0)-minimization problems[J]. JOURNAL OF GLOBAL OPTIMIZATION,2021:24.
APA Xu, Jialiang,&Zhao, Yun-Bin.(2021).Dual-density-based reweighted l(1)-algorithms for a class of l(0)-minimization problems.JOURNAL OF GLOBAL OPTIMIZATION,24.
MLA Xu, Jialiang,et al."Dual-density-based reweighted l(1)-algorithms for a class of l(0)-minimization problems".JOURNAL OF GLOBAL OPTIMIZATION (2021):24.

入库方式： OAI收割

来源：数学与系统科学研究院

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