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AAAI
2004
13 years 7 months ago
Bayesian Inference on Principal Component Analysis Using Reversible Jump Markov Chain Monte Carlo
Based on the probabilistic reformulation of principal component analysis (PCA), we consider the problem of determining the number of principal components as a model selection prob...
Zhihua Zhang, Kap Luk Chan, James T. Kwok, Dit-Yan...
ESANN
2007
13 years 7 months ago
Mixtures of robust probabilistic principal component analyzers
Mixtures of probabilistic principal component analyzers model high-dimensional nonlinear data by combining local linear models. Each mixture component is specifically designed to...
Cédric Archambeau, Nicolas Delannay, Michel...
ICML
2009
IEEE
14 years 17 days ago
Grammatical inference as a principal component analysis problem
One of the main problems in probabilistic grammatical inference consists in inferring a stochastic language, i.e. a probability distribution, in some class of probabilistic models...
Raphaël Bailly, François Denis, Liva R...
IEICET
2010
132views more  IEICET 2010»
13 years 4 months ago
Direct Importance Estimation with a Mixture of Probabilistic Principal Component Analyzers
Estimating the ratio of two probability density functions (a.k.a. the importance) has recently gathered a great deal of attention since importance estimators can be used for solvi...
Makoto Yamada, Masashi Sugiyama, Gordon Wichern, J...
IJCNN
2006
IEEE
13 years 11 months ago
Nonlinear Component Analysis Based on Correntropy
Abstract— In this paper, we propose a new nonlinear principal component analysis based on a generalized correlation function which we call correntropy. The data is nonlinearly tr...
Jian-Wu Xu, Puskal P. Pokharel, António R. ...