Normalized dimensionality reduction using nonnegative matrix factorization
文献类型：期刊论文
| 作者 | Zhu, Zhenfeng1; Guo, Yue-Fei1; Zhu, Xingquan2,3; Xue, Xiangyang1 |
| 刊名 | Neurocomputing
 |
| 出版日期 | 2010-06-01 |
| 卷号 | 73期号:10-12页码:1783-1793 |
| 关键词 | Subspace learning Nonnegative matrix factorization Dimensionality reduction Normalization Sparsity |
| ISSN号 | 0925-2312 |
| DOI | 10.1016/j.neucom.2009.11.046 |
| 通讯作者 | Xue, xiangyang(xyxue@fudan.edu.cn) |
| 英文摘要 | In this paper, we propose an iterative normalized compression method for dimensionality reduction using non-negative matrix factorization (ncmf). to factorize the instance matrix x into c x m, an objective function is defined to impose the normalization constraints to the basis matrix c and the coefficient matrix m. we argue that in many applications, instances are often normalized in one way or the other. by integrating data normalization constraints into the objective function and transposing the instance matrix, one can directly discover relations among different dimensions and devise effective and efficient procedure for matrix factorization. in the paper, we assume that feature dimensions in instance matrix are normalized, and propose an iterative solution ncmf to achieve rapid matrix factorization for dimensionality reduction. as a result, the basis matrix can be viewed as a compression matrix and the coefficient matrix becomes a mapping matrix. ncmf is simple, effective, and only needs to initialize the mapping matrix. experimental comparisons on text, biological and image data demonstrate that ncmf gains 21.02% computational time reduction, 39.60% sparsity improvement for mapping matrix, and 8.59% clustering accuracy improvement. (c) 2010 elsevier b.v. all rights reserved. |
| WOS关键词 | SUBSPACE SELECTION ; CLASSIFICATION ; ALGORITHMS |
| WOS研究方向 | Computer Science |
| WOS类目 | Computer Science, Artificial Intelligence |
| 语种 | 英语 |
| WOS记录号 | WOS:000279134100028 |
| 出版者 | ELSEVIER SCIENCE BV |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2413829 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Xue, Xiangyang |
| 作者单位 | 1.Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China 2.Univ Technol Sydney, QCIS Ctr, Fac Engn & Informat Technol, Sydney, NSW 2007, Australia 3.Chinese Acad Sci, FEDS Ctr, Grad Univ, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhu, Zhenfeng,Guo, Yue-Fei,Zhu, Xingquan,et al. Normalized dimensionality reduction using nonnegative matrix factorization[J]. Neurocomputing,2010,73(10-12):1783-1793. |
| APA | Zhu, Zhenfeng,Guo, Yue-Fei,Zhu, Xingquan,&Xue, Xiangyang.(2010).Normalized dimensionality reduction using nonnegative matrix factorization.Neurocomputing,73(10-12),1783-1793. |
| MLA | Zhu, Zhenfeng,et al."Normalized dimensionality reduction using nonnegative matrix factorization".Neurocomputing 73.10-12(2010):1783-1793. |
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来源：中国科学院大学
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