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ICML
2004
IEEE
16 years 13 days ago
A kernel view of the dimensionality reduction of manifolds
Bernhard Schölkopf, Daniel D. Lee, Jihun Ham,...
NIPS
2003
15 years 1 months ago
Optimal Manifold Representation of Data: An Information Theoretic Approach
We introduce an information theoretic method for nonparametric, nonlinear dimensionality reduction, based on the infinite cluster limit of rate distortion theory. By constraining...
Denis V. Chigirev, William Bialek
TSMC
2010
14 years 6 months ago
Distance Approximating Dimension Reduction of Riemannian Manifolds
We study the problem of projecting high-dimensional tensor data on an unspecified Riemannian manifold onto some lower dimensional subspace1 without much distorting the pairwise geo...
Changyou Chen, Junping Zhang, Rudolf Fleischer
ICPR
2006
IEEE
16 years 22 days 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...
ESANN
2007
15 years 1 months ago
Estimation of tangent planes for neighborhood graph correction
Local algorithms for non-linear dimensionality reduction [1], [2], [3], [4], [5] and semi-supervised learning algorithms [6], [7] use spectral decomposition based on a nearest neig...
Karina Zapien Arreola, Gilles Gasso, Stépha...