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Application of the MEC network to principal component analysis and source separation

  • Simone Fiori
  • Aurelio Uncini
  • Francesco Piazza
Part IV: Signal Processing: Blind Source Separation, Vector Quantization, and Self-Organization
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1327)

Abstract

In this paper we present new developments of a previous work dealing with the problem of strongly-constrained orthonormal analysis of random signals. In the former work a neural learning rule arising from the study of the dynamics of a massive system in an abstract space was introduced, and the set of equations describing the motion of such a system was directly interpreted as a learning rule for neural layers. This adaptation rule can be used to solve several problems where orthonormal matrices are involved. Here we show two applications of such an approach: one dealing with PCA and one dealing with ICA.

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References

  1. 1.
    Comon P.: Independent Component Analysis, A New Concept ? Signal Processing 36 (1994) 287–314Google Scholar
  2. 2.
    Diamantaras K.I., Kung S.-Y.: Principal Component Neural Networks: Theory and Applications. J. Wiley, 1996Google Scholar
  3. 3.
    Fiori S., Uncini A., Piazza F.: A New Unsupervised Neural Algorithm for Orthonormal Signal Processing. Proc. of Int. Conf. Acoustic, Speech and Signal Processing — ICASSP (1997) 3349–3352Google Scholar
  4. 4.
    Laheld B., Cardoso J.F.: Adaptive Source Separation with Uniform Performances. Signal Processing VII: Theories and Applications 1 (1994) 183–186Google Scholar
  5. 5.
    Karhunen J., Joutsensalo J.: Learning of Robust Principal Component Subspace. Proc. of Int. Joint Conf. on N.N.-IJCNN 3 (1993) 2409–2412Google Scholar
  6. 6.
    Xu L., Oja E., Suen C.Y.: Modified Hebbian Learning for Curve and Surface Fitting. Neural Networks 5 (1992) 393–407Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Simone Fiori
    • 1
  • Aurelio Uncini
    • 1
  • Francesco Piazza
    • 1
  1. 1.Dipartimento di Elettronica e AutomaticaUniversità di AnconaAnItaly

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