CASIA OpenIR  > 模式识别国家重点实验室  > 先进数据分析与学习
Regression Reformulations of LLE and LTSA With Locally Linear Transformation
Xiang, Shiming1; Nie, Feiping2; Pan, Chunhong1; Zhang, Changshui2
Source PublicationIEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
2011-10-01
Volume41Issue:5Pages:1250-1262
SubtypeArticle
AbstractLocally 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.
KeywordImproved Locally Linear Embedding (Lle) (iLle) Lle Local Tangent Space Alignment (Ltsa) Regression Reformulation
WOS HeadingsScience & Technology ; Technology
WOS KeywordNONLINEAR DIMENSIONALITY REDUCTION ; GEOMETRIC FRAMEWORK ; EIGENMAPS ; MANIFOLDS ; ALIGNMENT
Indexed BySCI
Language英语
WOS Research AreaAutomation & Control Systems ; Computer Science
WOS SubjectAutomation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS IDWOS:000295012000007
Citation statistics
Cited Times:25[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/3694
Collection模式识别国家重点实验室_先进数据分析与学习
Affiliation1.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
First Author AffilicationChinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Xiang, Shiming]'s Articles
[Nie, Feiping]'s Articles
[Pan, Chunhong]'s Articles
Baidu academic
Similar articles in Baidu academic
[Xiang, Shiming]'s Articles
[Nie, Feiping]'s Articles
[Pan, Chunhong]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Xiang, Shiming]'s Articles
[Nie, Feiping]'s Articles
[Pan, Chunhong]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.