THE PERFORMANCE OF ORTHOGONAL MULTI-MATCHING PURSUIT UNDER THE RESTRICTED ISOMETRY PROPERTY
文献类型：期刊论文
| 作者 | Xu, Zhiqiang
|
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2015 |
| 卷号 | 33期号:5页码:495-516 |
| 关键词 | Sparse signals Compressed sensing Greedy algorithms |
| ISSN号 | 0254-9409 |
| DOI | 10.4208/jcm.1505-m4529 |
| 英文摘要 | The orthogonal multi-matching pursuit (OMMP) is a natural extension of the orthogonal matching pursuit (OMP). We denote the OMMP with the parameter M as OMMP(M) where M >= 1 is an integer. The main difference between OMP and OMMP(M) is that OMMP(M) selects M atoms per iteration, while OMP only adds one atom to the optimal atom set. In this paper, we study the performance of orthogonal multi-matching pursuit under RIP. In particular, we show that, when the measurement matrix A satisfies (25s, 1/10)-RIP, OMMP(M-0) with M-0 = 12 can recover s-sparse signals within s iterations. We furthermore prove that OMMP(M) can recover s-sparse signals within O(s/M) iterations for a large class of M. |
| 语种 | 英语 |
| WOS记录号 | WOS:000365413300003 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21435]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Xu, Zhiqiang |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Zhiqiang. THE PERFORMANCE OF ORTHOGONAL MULTI-MATCHING PURSUIT UNDER THE RESTRICTED ISOMETRY PROPERTY[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2015,33(5):495-516. |
| APA | Xu, Zhiqiang.(2015).THE PERFORMANCE OF ORTHOGONAL MULTI-MATCHING PURSUIT UNDER THE RESTRICTED ISOMETRY PROPERTY.JOURNAL OF COMPUTATIONAL MATHEMATICS,33(5),495-516. |
| MLA | Xu, Zhiqiang."THE PERFORMANCE OF ORTHOGONAL MULTI-MATCHING PURSUIT UNDER THE RESTRICTED ISOMETRY PROPERTY".JOURNAL OF COMPUTATIONAL MATHEMATICS 33.5(2015):495-516. |
入库方式： OAI收割
来源：数学与系统科学研究院
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