Kurtosis extrema and identification of independent components: a neural network approach

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Abstract
We propose a nonlinear self-organising network which solely employs computationally simple Hebbian and anti-Hebbian learning in approximating a linear independent component analysis (ICA). Current neural architectures and algorithms which perform parallel ICA are either restricted to positively kurtotic data distributions or data which exhibits one sign of kurtosis . We show that the proposed network is capable of separating mixtures of speech, noise and signals with both platykurtic (positive kurtosis) and leptokurtic (negative kurtosis) distributions in a blind manner. A simulation is reported which successfully separates a mixture of twenty sources of music, speech, noise and fundamental frequencies.