Applying Neural Networks and Genetic Algorithms to the Separation of Sources

This paper presents a new adaptive procedure for the linear and non-linear separation of signals with non-uniform, symmetrical probability distributions, based on both simulated annealing (SA) and competitive learning (CL) methods by means of a neural network, considering the properties of the vectorial spaces of sources and mixtures, and using a multiple linearization in the mixture space. Also, the paper proposes the fusion of two important paradigms, Genetic Algorithms and the Blind Separation of Sources in Nonlinear Mixtures (GABSS). From experimental results, this paper demonstrates the possible benefits offered by GAs in combination with BSS, such as robustness against local minima, the parallel search for various solutions, and a high degree of flexibility in the evaluation function. The main characteristics of the method are its simplicity and the rapid convergence experimentally validated by the separation of many kinds of signals, such as speech or biomedical data.

[1]  Andrzej Cichocki,et al.  A New Learning Algorithm for Blind Signal Separation , 1995, NIPS.

[2]  D. Chakrabarti,et al.  A fast fixed - point algorithm for independent component analysis , 1997 .

[3]  Gilles Burel,et al.  Blind separation of sources: A nonlinear neural algorithm , 1992, Neural Networks.

[4]  Ehud Weinstein,et al.  Multichannel signal separation: methods and analysis , 1996, IEEE Trans. Signal Process..

[5]  A. Hyvärinen,et al.  Nonlinear Blind Source Separation by Self-Organizing Maps , 1996 .

[6]  Te-Won Lee,et al.  Blind source separation of nonlinear mixing models , 1997, Neural Networks for Signal Processing VII. Proceedings of the 1997 IEEE Signal Processing Society Workshop.

[7]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[8]  Jack D. Cowan,et al.  Source Separation and Density Estimation by Faithful Equivariant SOM , 1996, NIPS.

[9]  E. Oja,et al.  Independent Component Analysis , 2013 .

[10]  Jacek M. Zurada,et al.  Nonlinear Blind Source Separation Using a Radial Basis Function Network , 2001 .

[11]  Philippe Loubaton,et al.  Subspace method for blind separation of sources in convolutive mixture , 1996, 1996 8th European Signal Processing Conference (EUSIPCO 1996).

[12]  Christian Jutten,et al.  Source separation in post-nonlinear mixtures , 1999, IEEE Trans. Signal Process..

[13]  Terrence J. Sejnowski,et al.  An Information-Maximization Approach to Blind Separation and Blind Deconvolution , 1995, Neural Computation.

[14]  Carlos G. Puntonet,et al.  Neural net approach for blind separation of sources based on geometric properties , 1998, Neurocomputing.

[15]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[16]  S. Amari A new learning algorightm for blind signal separation , 1996, NIPS 1996.

[17]  Andrzej Cichocki,et al.  Information-theoretic approach to blind separation of sources in non-linear mixture , 1998, Signal Process..

[18]  Ehud Weinstein,et al.  Single-sensor active noise cancellation , 1994, IEEE Trans. Speech Audio Process..

[19]  Shoko Araki,et al.  Blind Source Separation for Convolutive Mixtures of Speech using Subband processing , 2002 .

[20]  Jean-Francois Cardoso,et al.  Source separation using higher order moments , 1989, International Conference on Acoustics, Speech, and Signal Processing,.