Spectral clustering based on matrix perturbation theory

CASIA OpenIR > 09年以前成果

	Spectral clustering based on matrix perturbation theory
	Zheng, Tian ; Li XiaoBin ; Ju YanWei
发表期刊	SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
	2007-02-01
卷号	50 期号:1 页码:63-81
文章类型	Article
摘要	This paper exposes some intrinsic characteristics of the spectral clustering method by using the tools from the matrix perturbation theory. We construct a weight matrix of a graph and study its eigenvalues and eigenvectors. It shows that the number of clusters is equal to the number of eigenvalues that are larger than 1, and the number of points in each of the clusters can be approximated by the associated eigenvalue. It also shows that the eigenvector of the weight matrix can be used directly to perform clustering; that is, the directional angle between the two-row vectors of the matrix derived from the eigenvectors is a suitable distance measure for clustering. As a result, an unsupervised spectral clustering algorithm based on weight matrix (USCAWM) is developed. The experimental results on a number of artificial and real-world data sets show the correctness of the theoretical analysis.
关键词	Spectral Clustering Weight Matrix Spectrum Of Weight Matrix Number Of The Clusters Unsupervised Spectral Clustering Algorithm Based On Weight Matrix
WOS标题词	Science & Technology ; Technology
收录类别	SCI
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000245639600006
引用统计	被引频次：19[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/9425
专题	09年以前成果
作者单位	1.Northwestern Polytech Univ, Dept Math Appl, Xian 710072, Peoples R China 2.Chinese Acad Sci, Natl Lab Pattern Recognit, Inst Automat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zheng, Tian,Li XiaoBin,Ju YanWei. Spectral clustering based on matrix perturbation theory[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2007,50(1):63-81.
APA	Zheng, Tian,Li XiaoBin,&Ju YanWei.(2007).Spectral clustering based on matrix perturbation theory.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,50(1),63-81.
MLA	Zheng, Tian,et al."Spectral clustering based on matrix perturbation theory".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 50.1(2007):63-81.