Structure preserving non-negative matrix factorization for dimensionality reduction
文献类型：期刊论文
| 作者 | Li, Zechao; Liu, Jing ; Lu, Hanqing
|
| 刊名 | COMPUTER VISION AND IMAGE UNDERSTANDING
 |
| 出版日期 | 2013-09-01 |
| 卷号 | 117期号:9页码:1175-1189 |
| 关键词 | Dimensionality reduction Non-negative matrix factorization Structure preserving Basis compactness Multiplicative update algorithm |
| 英文摘要 | The problem of dimensionality reduction is to map data from high dimensional spaces to low dimensional spaces. In the process of dimensionality reduction, the data structure, which is helpful to discover the latent semantics and simultaneously respect the intrinsic geometric structure, should be preserved. In this paper, to discover a low-dimensional embedding space with the nature of structure preservation and basis compactness, we propose a novel dimensionality reduction algorithm, called Structure Preserving Non-negative Matrix Factorization (SPNMF). In SPNMF, three kinds of constraints, namely local affinity, distant repulsion, and embedding basis redundancy elimination, are incorporated into the NMF framework. SPNMF is formulated as an optimization problem and solved by an effective iterative multiplicative update algorithm. The convergence of the proposed update solutions is proved. Extensive experiments on both synthetic data and six real world data sets demonstrate the encouraging performance of the proposed algorithm in comparison to the state-of-the-art algorithms, especially some related works based on NMF. Moreover, the convergence of the proposed updating rules is experimentally validated. (C) 2013 Elsevier Inc. All rights reserved. |
| WOS标题词 | Science & Technology ; Technology |
| 类目[WOS] | Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic |
| 研究领域[WOS] | Computer Science ; Engineering |
| 关键词[WOS] | DISCRIMINANT-ANALYSIS ; LAPLACIAN EIGENMAPS ; OBJECT RECOGNITION ; COMPONENT ANALYSIS ; FACE RECOGNITION ; REPRESENTATION ; PARTS ; ILLUMINATION ; PCA ; LDA |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000321724300019 |
| 源URL | [http://ir.ia.ac.cn/handle/173211/3337]  |
| 专题 | 自动化研究所_模式识别国家重点实验室_图像与视频分析团队 |
| 作者单位 | Chinese Acad Sci, Natl Lab Pattern Recognit, Inst Automat, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Zechao,Liu, Jing,Lu, Hanqing. Structure preserving non-negative matrix factorization for dimensionality reduction[J]. COMPUTER VISION AND IMAGE UNDERSTANDING,2013,117(9):1175-1189. |
| APA | Li, Zechao,Liu, Jing,&Lu, Hanqing.(2013).Structure preserving non-negative matrix factorization for dimensionality reduction.COMPUTER VISION AND IMAGE UNDERSTANDING,117(9),1175-1189. |
| MLA | Li, Zechao,et al."Structure preserving non-negative matrix factorization for dimensionality reduction".COMPUTER VISION AND IMAGE UNDERSTANDING 117.9(2013):1175-1189. |
入库方式： OAI收割
来源：自动化研究所
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