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

doi:10.1007/s10898-021-01013-2

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 博士后

	Dual-density-based reweighted l(1)-algorithms for a class of l(0)-minimization problems
	Xu, Jialiang 2; Zhao, Yun-Bin 1,3
刊名	JOURNAL OF GLOBAL OPTIMIZATION
	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
DOI	10.1007/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
出版者	SPRINGER
WOS记录号	WOS:000641212300001
内容类型	期刊论文
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 Univ Hong Kong, Shenzhen Res Inst Big Data, Shenzhen, Guangdong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, 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.