Regression Reformulations of LLE and LTSA With Locally Linear Transformation

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	Regression Reformulations of LLE and LTSA With Locally Linear Transformation
	Xiang, Shiming1 ; Nie, Feiping 2; Pan, Chunhong1 ; Zhang, Changshui 2
刊名	IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
	2011-10-01
卷号	41 期号:5 页码:1250-1262
关键词	Improved locally linear embedding (LLE) (ILLE) LLE local tangent space alignment (LTSA) regression reformulation
英文摘要	Locally linear embedding (LLE) and local tangent space alignment (LTSA) are two fundamental algorithms in manifold learning. Both LLE and LTSA employ linear methods to achieve their goals but with different motivations and formulations. LLE is developed by locally linear reconstructions in both high-and low-dimensional spaces, while LTSA is developed with the combinations of tangent space projections and locally linear alignments. This paper gives the regression reformulations of the LLE and LTSA algorithms in terms of locally linear transformations. The reformulations can help us to bridge them together, with which both of them can be addressed into a unified framework. Under this framework, the connections and differences between LLE and LTSA are explained. Illuminated by the connections and differences, an improved LLE algorithm is presented in this paper. Our algorithm learns the manifold in way of LLE but can significantly improve the performance. Experiments are conducted to illustrate this fact.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Automation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
研究领域[WOS]	Automation & Control Systems ; Computer Science
关键词[WOS]	NONLINEAR DIMENSIONALITY REDUCTION ; GEOMETRIC FRAMEWORK ; EIGENMAPS ; MANIFOLDS ; ALIGNMENT
收录类别	SCI
语种	英语
WOS记录号	WOS:000295012000007
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/3694]
专题	自动化研究所_模式识别国家重点实验室_遥感图像处理团队
作者单位	1.Chinese Acad Sci, Natl Lab Pattern Recognit, Inst Automat, Beijing 100190, Peoples R China 2.Tsinghua Univ, State Key Lab Intelligent Technol & Syst, Tsinghua Natl Lab Informat Sci & Technol, Dept Automat, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Xiang, Shiming,Nie, Feiping,Pan, Chunhong,et al. Regression Reformulations of LLE and LTSA With Locally Linear Transformation[J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS,2011,41(5):1250-1262.
APA	Xiang, Shiming,Nie, Feiping,Pan, Chunhong,&Zhang, Changshui.(2011).Regression Reformulations of LLE and LTSA With Locally Linear Transformation.IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS,41(5),1250-1262.
MLA	Xiang, Shiming,et al."Regression Reformulations of LLE and LTSA With Locally Linear Transformation".IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS 41.5(2011):1250-1262.