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Abstract: In the first part of the paper, the one-dimensional functional equation g(y(t)) = cg(z(t)) with known functions y and z and constant c is studied. Its indeterminacies are calculated, and an algorithm for approximating g is proposed. Then, this linearization identification algorithm is applied to the postnonlinear blind source separation (BSS) problem. In the case of bounded sources, a self-organizing map is used to approximate the boundary, and the postnonlinearity estimation is reduced to the... (Update)
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BibTeX entry: (Update)
@misc{ theis-postnonlinear,
author = "Fabian J. Theis and Elmar W. Lang",
title = "Postnonlinear Blind Source Separation via Linearization Identification",
url = "citeseer.ist.psu.edu/738478.html" }
Citations (may not include all citations):512 Density Estimation for Statistics and Data Analysis (context) - Silverman - 1986
377 Robust Regression and Outlier Detection (context) - Rousseeuw, Leroy - 1987
80 Independent Component Analysis (context) - arinen, Karhunen et al. - 2001
39 Self-organizing formation of topologically correct feature m.. (context) - Kohonen - 1982
32 Adaptive blind signal and image processing (context) - Cichocki, Amari - 2002
26 Source separation in post non linear mixtures (context) - Taleb, Jutten - 1999
22 Nonlinear blind source separation by self-organizing map - Pajunen, arinen et al. - 1996
10 Linear geometric ICA: Fundamentals and algorithms (context) - Theis, Jung et al. - 2002
6 A geometric approach for separating post non-linear mixtures (context) - Babaie-Zadeh, Jutten et al. - 2002
3 What should we say about the kurtosis (context) - Mansour, Jutten - 1999
2 One-bit-matching conjecture for independent component analys.. - Liu, Chiu et al. - 2004
2 Separability of analytic postnonlinear blind source separati.. (context) - Theis, Gruber - 2004
2 Nonlinear geometric ICA - Theis, Puntonet et al. - 2003
1 SOMICA - an application of self-organizing maps to geometric.. (context) - Theis, Puntonet et al. - 2003
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