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» Nonlinear Component Analysis as a Kernel Eigenvalue Problem
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ICA
2004
Springer
15 years 2 months ago
Using Kernel PCA for Initialisation of Variational Bayesian Nonlinear Blind Source Separation Method
The variational Bayesian nonlinear blind source separation method introduced by Lappalainen and Honkela in 2000 is initialised with linear principal component analysis (PCA). Becau...
Antti Honkela, Stefan Harmeling, Leo Lundqvist, Ha...
71
Voted
NIPS
2003
14 years 11 months ago
Limiting Form of the Sample Covariance Eigenspectrum in PCA and Kernel PCA
We derive the limiting form of the eigenvalue spectrum for sample covariance matrices produced from non-isotropic data. For the analysis of standard PCA we study the case where th...
David C. Hoyle, Magnus Rattray
80
Voted
ICPR
2010
IEEE
14 years 11 months ago
SemiCCA: Efficient Semi-Supervised Learning of Canonical Correlations
Canonical correlation analysis (CCA) is a powerful tool for analyzing multi-dimensional paired data. However, CCA tends to perform poorly when the number of paired samples is limit...
Akisato Kimura, Hirokazu Kameoka, Masashi Sugiyama...
PR
2008
161views more  PR 2008»
14 years 9 months ago
A study on three linear discriminant analysis based methods in small sample size problem
In this paper, we make a study on three Linear Discriminant Analysis (LDA) based methods: Regularized Discriminant Analysis (RDA), Discriminant Common Vectors (DCV) and Maximal Ma...
Jun Liu, Songcan Chen, Xiaoyang Tan
71
Voted
PR
2006
116views more  PR 2006»
14 years 9 months ago
Correspondence matching using kernel principal components analysis and label consistency constraints
This paper investigates spectral approaches to the problem of point pattern matching. We make two contributions. First, we consider rigid point-set alignment. Here we show how ker...
Hongfang Wang, Edwin R. Hancock