Solution of permutation problem in frequency domain ICA, using multivariate probability density functions

  • Authors:
  • Atsuo Hiroe

  • Affiliations:
  • Intelligent Systems Research Laboratory, Information Technologies Laboratories, Sony Corporation, Tokyo, Japan

  • Venue:
  • ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
  • Year:
  • 2006

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Abstract

Conventional Independent Component Analysis (ICA) in frequency domain inherently causes the permutation problem. To solve the problem fundamentally, we propose a new framework for separation of the whole spectrograms instead of the conventional binwise separation. Under our framework, a measure of independence is calculated from the whole spectrograms, not individual frequency bins. For the calculation, we introduce some multivariate probability density functions (PDFs) which take a spectrum as arguments. To seek the unmixing matrix that makes spectrograms independent, we demonstrate a gradient-based algorithm using multivariate activation functions derived from the PDFs. Through experiments using real sound data, we have confirmed that our framework is effective to generate permutation-free unmixed results.