Regression Reformulations of LLE and LTSA With Locally Linear Transformation | |
Xiang, Shiming1![]() ![]() | |
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. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论