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» A kernel view of the dimensionality reduction of manifolds
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ICML
2004
IEEE
14 years 5 months ago
A kernel view of the dimensionality reduction of manifolds
Bernhard Schölkopf, Daniel D. Lee, Jihun Ham,...
ICML
2004
IEEE
13 years 10 months ago
Learning a kernel matrix for nonlinear dimensionality reduction
We investigate how to learn a kernel matrix for high dimensional data that lies on or near a low dimensional manifold. Noting that the kernel matrix implicitly maps the data into ...
Kilian Q. Weinberger, Fei Sha, Lawrence K. Saul
ICCV
2009
IEEE
14 years 9 months ago
Dimensionality Reduction and Principal Surfaces via Kernel Map Manifolds
We present a manifold learning approach to dimensionality reduction that explicitly models the manifold as a mapping from low to high dimensional space. The manifold is represen...
Samuel Gerber, Tolga Tasdizen, Ross Whitaker
ICML
2007
IEEE
14 years 5 months ago
Regression on manifolds using kernel dimension reduction
We study the problem of discovering a manifold that best preserves information relevant to a nonlinear regression. Solving this problem involves extending and uniting two threads ...
Jens Nilsson, Fei Sha, Michael I. Jordan
ICPR
2006
IEEE
14 years 5 months ago
Simultaneous Inference of View and Body Pose using Torus Manifolds
Inferring 3D body pose as well as viewpoint from a single silhouette image is a challenging problem. We present a new generative model to represent shape deformations according to...
Ahmed M. Elgammal, Chan-Su Lee