KMS Of Academy of mathematics and systems sciences, CAS
| A new accelerated alternating minimization method for analysis sparse recovery | |
| Xie, Jiaxin1,2; Liao, Anping1; Lei, Yuan1 | |
| 2018-04-01 | |
| Source Publication | SIGNAL PROCESSING
 |
| ISSN | 0165-1684 |
| Volume | 145Pages:167-174 |
| Abstract | 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. |
| Keyword | Compressed sensing Moreau proximal smoothing Accelerated alternating minimization Sparse recovery Total variation |
| DOI | 10.1016/j.sigpro.2017.12.010 |
| Language | 英语 |
| Funding Project | 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 Research Area | Engineering |
| WOS Subject | Engineering, Electrical & Electronic |
| WOS ID | WOS:000423891000017 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/29669 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Xie, Jiaxin |
| Affiliation | 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 |
| Recommended Citation 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. |
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