Istituto di Scienza e Tecnologie dell'Informazione     
Wang B., Kuruoglu E. E., Zhang J. ICA by maximizing non-stability. In: ICA 2009 - Independent Component Analysis and Signal Separation. 8th International Conference (Paraty, Rio Janerio, Brasile, 15-18 Marzo 2009). Proceedings, pp. 179 - 186. (Lecture Notes in Computer Science, vol. 5441). Springer-Verlag, 2009.
We propose a new approach for ICA by maximizing the non-stability contrast function in this paper. This new version of ICA is motivated by the Generalized Central Limit Theorem (GCLT), an important extension of classical CLT. We demonstrate that the classical ICA based on maximization of non-Gaussianity is a special case of the new approach of ICA we introduce here which is based on maximization of non-Stability with certain constraints. To be able to quantify non-stability, we introduce a new measure of stability namely Alpha-stable negentropy. A numerical gradient ascent algorithm for the maximization of the alpha-stable negentropy with the objective of source separation is also introduced in this paper. Experiments show that ICA by maximum of non-stability performs very successfully in impulsive source separation problems.
URL: http://www.springerlink.com/content/u2213u276150/?p=17551bcdca9e4948b8a49f97379a6499&
DOI: 10.1007/978-3-642-00599-2_23
Subject ICA
Alpha-stable negentropy
Source separation
Impulsive signals
G.3 Probability and Statistics. Time series analysis
I.5 Pattern Recognition
I.5.1 Models. Statistical
60F05 Central limit and other weak theorems
60G52 Stable processes

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