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Topographic NMF for Data Representation
Xiao, Yanhui1,2; Zhu, Zhenfeng1,2; Zhao, Yao1; Wei, Yunchao1,2; Wei, Shikui1,2; Li, Xuelong3
作者部门光学影像学习与分析中心
2014-10-01
发表期刊IEEE TRANSACTIONS ON CYBERNETICS
ISSN2168-2267
卷号44期号:10页码:1762-1771
摘要Nonnegative matrix factorization (NMF) is a useful technique to explore a parts-based representation by decomposing the original data matrix into a few parts-based basis vectors and encodings with nonnegative constraints. It has been widely used in image processing and pattern recognition tasks due to its psychological and physiological interpretation of natural data whose representation may be parts-based in human brain. However, the nonnegative constraint for matrix factorization is generally not sufficient to produce representations that are robust to local transformations. To overcome this problem, in this paper, we proposed a topographic NMF (TNMF), which imposes a topographic constraint on the encoding factor as a regularizer during matrix factorization. In essence, the topographic constraint is a two-layered network, which contains the square nonlinearity in the first layer and the square-root nonlinearity in the second layer. By pooling together the structure-correlated features belonging to the same hidden topic, the TNMF will force the encodings to be organized in a topographical map. Thus, the feature invariance can be promoted. Some experiments carried out on three standard datasets validate the effectiveness of our method in comparison to the state-of-the-art approaches. Index Terms-Data clustering, dimension reduction,
文章类型Article
关键词Data Clustering Dimension Reduction Feature Invariance Machine Learning Nonnegative Matrix Factorization
WOS标题词Science & Technology ; Technology
DOI10.1109/TCYB.2013.2294215
收录类别SCI ; EI
关键词[WOS]NONNEGATIVE MATRIX FACTORIZATION ; RECOGNITION ; PARTS ; OBJECTS
语种英语
WOS研究方向Computer Science
WOS类目Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS记录号WOS:000342228100005
引用统计
被引频次:28[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.opt.ac.cn/handle/181661/22369
专题光谱成像技术研究室
作者单位1.Beijing Jiaotong Univ, Inst Informat Sci, Beijing, Peoples R China
2.Beijing Key Lab Adv Informat Sci & Network Techno, Beijing 100044, Peoples R China
3.Chinese Acad Sci, Xian Inst Opt & Precis Mech, State Key Lab Transient Opt & Photon, Ctr OPT IMagery Anal & Learning OPTIMAL, Xian 710119, Peoples R China
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Xiao, Yanhui,Zhu, Zhenfeng,Zhao, Yao,et al. Topographic NMF for Data Representation[J]. IEEE TRANSACTIONS ON CYBERNETICS,2014,44(10):1762-1771.
APA Xiao, Yanhui,Zhu, Zhenfeng,Zhao, Yao,Wei, Yunchao,Wei, Shikui,&Li, Xuelong.(2014).Topographic NMF for Data Representation.IEEE TRANSACTIONS ON CYBERNETICS,44(10),1762-1771.
MLA Xiao, Yanhui,et al."Topographic NMF for Data Representation".IEEE TRANSACTIONS ON CYBERNETICS 44.10(2014):1762-1771.
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