One-unit Learning Rules for Independent Component Analysis

Neural one-unit learning rules for the problem of Independent Component Analysis (ICA) and blind source separation are introduced. In these new algorithms, every ICA neuron develops into a separator that finds one of the independent components. The learning rules use very simple constrained Hebbian/anti-Hebbian learning in which decorrelating feedback may be added. To speed up the convergence of these stochastic gradient descent rules, a novel computationally efficient fixed-point algorithm is introduced.

[1]  Jirí Benes,et al.  On neural networks , 1990, Kybernetika.

[2]  Christian Jutten,et al.  Blind separation of sources, part I: An adaptive algorithm based on neuromimetic architecture , 1991, Signal Process..

[3]  Pierre Comon,et al.  Independent component analysis, A new concept? , 1994, Signal Process..

[4]  E. Oja The Nonlinear PCA Learning Rule and Signal Separation - Mathematical Analysis , 1995 .

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

[6]  Nathalie Delfosse,et al.  Adaptive blind separation of independent sources: A deflation approach , 1995, Signal Process..

[7]  Erkki Oja,et al.  Simple Neuron Models for Independent Component Analysis , 1996, Int. J. Neural Syst..

[8]  Terrence J. Sejnowski,et al.  Edges are the Independent Components of Natural Scenes , 1996, NIPS.

[9]  Erkki Oja,et al.  Image Feature Extraction Using Independent Component Analysis , 1996 .

[10]  Jean-François Cardoso,et al.  Equivariant adaptive source separation , 1996, IEEE Trans. Signal Process..

[11]  Aapo Hyvärinen,et al.  A Fast Fixed-Point Algorithm for Independent Component Analysis , 1997, Neural Computation.

[12]  Aapo Hyvärinen,et al.  A family of fixed-point algorithms for independent component analysis , 1997, ICASSP.

[13]  Erkki Oja,et al.  A class of neural networks for independent component analysis , 1997, IEEE Trans. Neural Networks.

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

[15]  A. Hyvarinen A family of fixed-point algorithms for independent component analysis , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[16]  Erkki Oja,et al.  Independent component analysis by general nonlinear Hebbian-like learning rules , 1998, Signal Process..