Regression Reformulations of LLE and LTSA With Locally Linear Transformation

CASIA OpenIR > 多模态人工智能系统全国重点实验室 > 先进时空数据分析与学习

	Regression Reformulations of LLE and LTSA With Locally Linear Transformation
	Xiang, Shiming1 ; Nie, Feiping 2; Pan, Chunhong1 ; Zhang, Changshui 2
发表期刊	IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
	2011-10-01
卷号	41 期号:5 页码:1250-1262
文章类型	Article
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.
关键词	Improved Locally Linear Embedding (Lle) (iLle) Lle Local Tangent Space Alignment (Ltsa) Regression Reformulation
WOS标题词	Science & Technology ; Technology
关键词[WOS]	NONLINEAR DIMENSIONALITY REDUCTION ; GEOMETRIC FRAMEWORK ; EIGENMAPS ; MANIFOLDS ; ALIGNMENT
收录类别	SCI
语种	英语
WOS研究方向	Automation & Control Systems ; Computer Science
WOS类目	Automation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS记录号	WOS:000295012000007
引用统计	被引频次：38[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/173211/3694
专题	多模态人工智能系统全国重点实验室_先进时空数据分析与学习
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
第一作者单位	模式识别国家重点实验室
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.