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ICML
2006
IEEE
14 years 6 months ago
A duality view of spectral methods for dimensionality reduction
We present a unified duality view of several recently emerged spectral methods for nonlinear dimensionality reduction, including Isomap, locally linear embedding, Laplacian eigenm...
Lin Xiao, Jun Sun 0003, Stephen P. Boyd
ICPR
2002
IEEE
14 years 6 months ago
Radial Projections for Non-Linear Feature Extraction
In this work, two new techniques for non-linear feature extraction are presented. In these techniques, new features are obtained as radial projections of the original measurements...
Alberto J. Pérez Jiménez, Juan Carlo...
NIPS
2003
13 years 6 months ago
Non-linear CCA and PCA by Alignment of Local Models
We propose a non-linear Canonical Correlation Analysis (CCA) method which works by coordinating or aligning mixtures of linear models. In the same way that CCA extends the idea of...
Jakob J. Verbeek, Sam T. Roweis, Nikos A. Vlassis
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
ESANN
2007
13 years 6 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...