International Journal of Systems Science - The Seventh Portuguese Conference on Automatic Control (Controlo'2006)
A general procedure for learning mixtures of independent component analyzers
Pattern Recognition
IEEE Transactions on Signal Processing
Fast kernel-based independent component analysis
IEEE Transactions on Signal Processing
Fast kernel density independent component analysis
ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
Newton-like methods for nonparametric independent component analysis
ICONIP'06 Proceedings of the 13 international conference on Neural Information Processing - Volume Part I
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We study the statistical merits of two techniques used in the literature of independent component analysis (ICA). First, we analyze the characteristic-function based ICA method (CHFICA) and study its statistical properties such as consistency, √n-consistency, and robustness against small additive noise. Second, we study the validity of prewhitening: a preprocessing technique used by many ICA algorithms, as applied to the CHFICA method. In particular, we establish the surprising effectiveness of this technique even when some components have heavy tails and others do not. A fast new algorithm implementing the prewhitened CHFICA method is also provided.