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» Variational Bayesian functional PCA
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CSDA
2008
80views more  CSDA 2008»
13 years 5 months ago
Variational Bayesian functional PCA
A Bayesian approach to analyze the modes of variation in a set of curves is suggested. It is based on a generative model thus allowing for noisy and sparse observations of curves....
Angelika van der Linde
ICA
2004
Springer
13 years 10 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...
IDA
2009
Springer
13 years 11 months ago
Bayesian Robust PCA for Incomplete Data
Abstract. We present a probabilistic model for robust principal component analysis (PCA) in which the observation noise is modelled by Student-t distributions that are independent ...
Jaakko Luttinen, Alexander Ilin, Juha Karhunen
BMCBI
2010
216views more  BMCBI 2010»
12 years 12 months ago
Bayesian Inference of the Number of Factors in Gene-Expression Analysis: Application to Human Virus Challenge Studies
Background: Nonparametric Bayesian techniques have been developed recently to extend the sophistication of factor models, allowing one to infer the number of appropriate factors f...
Bo Chen, Minhua Chen, John William Paisley, Aimee ...
JMLR
2010
163views more  JMLR 2010»
12 years 11 months ago
Dense Message Passing for Sparse Principal Component Analysis
We describe a novel inference algorithm for sparse Bayesian PCA with a zero-norm prior on the model parameters. Bayesian inference is very challenging in probabilistic models of t...
Kevin Sharp, Magnus Rattray