Using Kernel PCA for Initialisation of Variational Bayesian Nonlinear Blind Source Separation Method

  • Antti Honkela
  • Stefan Harmeling
  • Leo Lundqvist
  • Harri Valpola
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3195)

Abstract

The variational Bayesian nonlinear blind source separation method introduced by Lappalainen and Honkela in 2000 is initialised with linear principal component analysis (PCA). Because of the multilayer perceptron (MLP) network used to model the nonlinearity, the method is susceptible to local minima and therefore sensitive to the initialisation used. As the method is used for nonlinear separation, the linear initialisation may in some cases lead it astray. In this paper we study the use of kernel PCA (KPCA) in the initialisation. KPCA is a rather straightforward generalisation of linear PCA and it is much faster to compute than the variational Bayesian method. The experiments show that it can produce significantly better initialisations than linear PCA. Additionally, the model comparison methods provided by the variational Bayesian framework can be easily applied to compare different kernels.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Antti Honkela
    • 1
  • Stefan Harmeling
    • 2
  • Leo Lundqvist
    • 1
  • Harri Valpola
    • 1
  1. 1.Neural Networks Research CentreHelsinki University of TechnologyEspooFinland
  2. 2.Fraunhofer FIRST.IDABerlinGermany

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