Nonlinear blind source separation using kernels

  • Authors:
  • D. Martinez;A. Bray

  • Affiliations:
  • LORIA-CNRS, Vandoeuvre-les-Nancy, France;-

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 2003

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Abstract

We derive a new method for solving nonlinear blind source separation (BSS) problems by exploiting second-order statistics in a kernel induced feature space. This paper extends a new and efficient closed-form linear algorithm to the nonlinear domain using the kernel trick originally applied in support vector machines (SVMs). This technique could likewise be applied to other linear covariance-based source separation algorithms. Experiments on realistic nonlinear mixtures of speech signals, gas multisensor data, and visual disparity data illustrate the applicability of our approach.