A new accelerated alternating minimization method for analysis sparse recovery

doi:10.1016/j.sigpro.2017.12.010

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	A new accelerated alternating minimization method for analysis sparse recovery
	Xie, Jiaxin 1,2; Liao, Anping 1; Lei, Yuan 1
	2018-04-01
发表期刊	SIGNAL PROCESSING
ISSN	0165-1684
卷号	145 页码:167-174
摘要	This paper proposes a new method based on accelerated alternating minimization (MM) for analysis sparse recovery. This method is extremely attractive as (1) it is very simple and computationally efficient, (2) it exhibits a fast convergence rate, (3) it is flexible and amenable to many kinds of reconstruction problems. We establish the connection between the classical alternating minimization (AM) method and the well-known proximal gradient (PG) method. Thus combining the accelerated proximal gradient (APG) method with the Moreau proximal smoothing technique, a new smoothing-based MM (SAAM) method, which can obtain an epsilon-optimal solution within O(1/epsilon) iterations, is designed. Numerical experiments on randomly generated data and real image reconstruction show that this method compares favorably with several state-of-the-art methods. (C) 2017 Elsevier B.V. All rights reserved.
关键词	Compressed sensing Moreau proximal smoothing Accelerated alternating minimization Sparse recovery Total variation
DOI	10.1016/j.sigpro.2017.12.010
语种	英语
资助项目	National Natural Science Foundation of China[11271117] ; National Natural Science Foundation of China[11201136] ; China Postdoctoral Science Foundation[2017LH043] ; China Postdoctoral Science Foundation[2017M620938]
WOS研究方向	Engineering
WOS类目	Engineering, Electrical & Electronic
WOS记录号	WOS:000423891000017
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29669
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	1.Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xie, Jiaxin,Liao, Anping,Lei, Yuan. A new accelerated alternating minimization method for analysis sparse recovery[J]. SIGNAL PROCESSING,2018,145:167-174.
APA	Xie, Jiaxin,Liao, Anping,&Lei, Yuan.(2018).A new accelerated alternating minimization method for analysis sparse recovery.SIGNAL PROCESSING,145,167-174.
MLA	Xie, Jiaxin,et al."A new accelerated alternating minimization method for analysis sparse recovery".SIGNAL PROCESSING 145(2018):167-174.