An improved local tangent space alignment method for manifold learning

doi:10.1016/j.patrec.2010.10.005

CSpace

	An improved local tangent space alignment method for manifold learning
	Zhang, Peng 1; Qiao, Hong 2; Zhang, Bo 1,3
	2011-01-15
发表期刊	PATTERN RECOGNITION LETTERS
ISSN	0167-8655
卷号	32 期号:2 页码:181-189
摘要	Principal component analysis (PCA) is widely used in recently proposed manifold learning algorithms to provide approximate local tangent spaces However such approximations provided by PCA may be inaccurate when local neighborhoods of the data manifold do not lie in or close to a linear subspace Furthermore the approximated tangent spaces can not fit the change in data distribution density In this paper a new method is proposed for providing faithful approximations to the local tangent spaces of a data manifold which is proved to be more accurate than PCA With this new method an Improved local tangent space alignment (ILTSA) algorithm is developed which can efficiently recover the geometric structure of data manifolds even in the case when data are sparse or non-uniformly distributed Experimental results are presented to illustrate the better performance of ILTSA on both synthetic data and image data (C) 2010 Elsevier B V All rights reserved
关键词	Nonlinear dimensionality reduction Manifold learning Data mining
DOI	10.1016/j.patrec.2010.10.005
语种	英语
资助项目	NNSF of China[9082000] ; NNSF of China[60725310] ; 863 Program of China[2007AA04Z228] ; 973 Program of China[2007CB311002]
WOS研究方向	Computer Science
WOS类目	Computer Science, Artificial Intelligence
WOS记录号	WOS:000285703800011
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13112
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Bo
作者单位	1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China 3.Chinese Acad Sci, AMSS, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Peng,Qiao, Hong,Zhang, Bo. An improved local tangent space alignment method for manifold learning[J]. PATTERN RECOGNITION LETTERS,2011,32(2):181-189.
APA	Zhang, Peng,Qiao, Hong,&Zhang, Bo.(2011).An improved local tangent space alignment method for manifold learning.PATTERN RECOGNITION LETTERS,32(2),181-189.
MLA	Zhang, Peng,et al."An improved local tangent space alignment method for manifold learning".PATTERN RECOGNITION LETTERS 32.2(2011):181-189.