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» Local Dimensionality Reduction
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CVPR
2008
IEEE
15 years 26 days ago
Clustering and dimensionality reduction on Riemannian manifolds
We propose a novel algorithm for clustering data sampled from multiple submanifolds of a Riemannian manifold. First, we learn a representation of the data using generalizations of...
Alvina Goh, René Vidal
COMPLIFE
2006
Springer
14 years 2 months ago
Set-Oriented Dimension Reduction: Localizing Principal Component Analysis Via Hidden Markov Models
We present a method for simultaneous dimension reduction and metastability analysis of high dimensional time series. The approach is based on the combination of hidden Markov model...
Illia Horenko, Johannes Schmidt-Ehrenberg, Christo...
ICPR
2006
IEEE
14 years 12 months ago
Dimensionality Reduction with Adaptive Kernels
1 A kernel determines the inductive bias of a learning algorithm on a specific data set, and it is beneficial to design specific kernel for a given data set. In this work, we propo...
Shuicheng Yan, Xiaoou Tang
CVPR
2009
IEEE
15 years 6 months ago
Rank Priors for Continuous Non-Linear Dimensionality Reduction
Non-linear dimensionality reductionmethods are powerful techniques to deal with high-dimensional datasets. However, they often are susceptible to local minima and perform poorly ...
Andreas Geiger (Karlsruhe Institute of Technology)...
ICML
2007
IEEE
14 years 11 months ago
Local learning projections
This paper presents a Local Learning Projection (LLP) approach for linear dimensionality reduction. We first point out that the well known Principal Component Analysis (PCA) essen...
Bernhard Schölkopf, Kai Yu, Mingrui Wu, Shipe...