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ICML
2004
IEEE
14 years 23 days 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
CVPR
2007
IEEE
14 years 1 months ago
Hierarchical Structuring of Data on Manifolds
Manifold learning methods are promising data analysis tools. However, if we locate a new test sample on the manifold, we have to find its embedding by making use of the learned e...
Jun Li, Pengwei Hao
ICPR
2006
IEEE
14 years 8 months ago
Object Tracking Using Globally Coordinated Nonlinear Manifolds
We present a dynamic inference algorithm in a globally parameterized nonlinear manifold and demonstrate it on the problem of visual tracking. An appearance manifold is usually non...
Che-Bin Liu, Ming-Hsuan Yang, Narendra Ahuja, Ruei...
MOR
2008
110views more  MOR 2008»
13 years 7 months ago
Alternating Projections on Manifolds
We prove that if two smooth manifolds intersect transversally, then the method of alternating projections converges locally at a linear rate. We bound the speed of convergence in ...
Adrian S. Lewis, Jérôme Malick
ESANN
2006
13 years 8 months ago
Outlier identification with the Harmonic Topographic Mapping
We review two versions of a topology preserving algorithm one of which we had previously [1] found to be more successful in defining smooth manifolds and tight clusters. In the con...
Marian Pena, Colin Fyfe