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A Theoretical Framework for Overcomplete Geometric BMMR

Theis, Fabian J. and Lang, Elmar and Lautenschlager, M. and Puntonet, Carlos G. (2002) A Theoretical Framework for Overcomplete Geometric BMMR. In: Younan, N., (ed.) Signal and image processing: proceedings of the fourth IASTED international conference (SIP); August 12 - 14, 2002, Kaua'i, Hawaii, USA. Acta Press, Anaheim, pp. 201-206. ISBN 0-88986-340-7.

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Other URL: http://homepages.uni-regensburg.de/~thf11669/publications/theis02overcomplete-theo_SIP02.pdf


Abstract

Recently geometric independent component analysis (ICA) has been generalized to overcomplete cases (overcomplete geoICA) with more sources than sensors. Here, we put this algorithm in the two-step framework. We generalize the geometric theory of quadratic case to the overcomplete case showing that fixpoints of geometric ICA fulfill a so called geometric convergence condition, which the mixed ...

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Export bibliographical data

Item Type:Book Section
Date:2002
Institutions:Biology, Preclinical Medicine > Institut für Biophysik und physikalische Biochemie > Prof. Dr. Elmar Lang
Projects:Graduiertenkolleg Nichtlinearität und Nichtgleichgewicht
Subjects:500 Science > 530 Physics
500 Science > 570 Life sciences
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner: Redakteur Physik
Deposited On:20 Mar 2007
Last Modified:19 Oct 2010 07:51
Item ID:1551
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