Efficient isometric multi-manifold learning based on the self-organizing method
文献类型：期刊论文
| 作者 | Fan, Mingyu1; Zhang, Xiaoqin1; Qiao, Hong2,3; Zhang, Bo4,5
|
| 刊名 | INFORMATION SCIENCES
 |
| 出版日期 | 2016-06-01 |
| 卷号 | 345页码:325-339 |
| 关键词 | Isomap Nonlinear dimensionality reduction Manifold learning Pattern analysis Multi-manifold embedding |
| ISSN号 | 0020-0255 |
| DOI | 10.1016/j.ins.2016.01.069 |
| 英文摘要 | Geodesic distance, as an essential measurement for data similarity, has been successfully used in manifold learning. However, many geodesic based isometric manifold learning algorithms, such as the isometric feature mapping (Isomap) and GeoNLM, fail to work on data that distribute on clusters or multiple manifolds. This limits their applications because practical data sets generally distribute on multiple manifolds. In this paper, we propose a new isometric multi-manifold learning method called Multi-manifold Proximity Embedding (MPE) which can be efficiently optimized using the gradient descent method or the self-organizing method. Compared with the previous methods, the proposed method has two steps which can isometrically learn data distributed on several manifolds and is more accurate in preserving both the intra-manifold and the inter-manifold geodesic distances. The effectiveness of the proposed method in recovering the nonlinear data structure and clustering is demonstrated through experiments on both synthetically and real data sets. (C) 2016 Elsevier Inc. All rights reserved. |
| 资助项目 | NNSF of China Grant[61203241] ; NNSF of China Grant[61473212] ; NNSF of China Grant[61472285] ; NNSF of China Grant[6141101224] ; NNSF of China Grant[61305035] ; NNSF of China Grant[61379093] ; NNSF of China Grant[11131006] ; NSF of Zhejiang Province[LY15F030011] ; Strategic Priority Research Program of the CAS[XDB02080003] ; NCMIS |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000372687300022 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22329]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Fan, Mingyu |
| 作者单位 | 1.Wenzhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Peoples R China 2.Chinese Acad Sci, Inst Automat, State Key Lab Management Control Complex Syst, Beijing 100190, Peoples R China 3.CAS Ctr Excellence Brain Sci & Intelligence Techn, Shanghai 200031, Peoples R China 4.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 5.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fan, Mingyu,Zhang, Xiaoqin,Qiao, Hong,et al. Efficient isometric multi-manifold learning based on the self-organizing method[J]. INFORMATION SCIENCES,2016,345:325-339. |
| APA | Fan, Mingyu,Zhang, Xiaoqin,Qiao, Hong,&Zhang, Bo.(2016).Efficient isometric multi-manifold learning based on the self-organizing method.INFORMATION SCIENCES,345,325-339. |
| MLA | Fan, Mingyu,et al."Efficient isometric multi-manifold learning based on the self-organizing method".INFORMATION SCIENCES 345(2016):325-339. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。