Independent subspace analysis can cope with the 'curse of dimensionality'

Szabó Zoltán and Lőrincz András: Independent subspace analysis can cope with the 'curse of dimensionality'. In: Acta cybernetica, (18) 2. pp. 213-221. (2007)

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Abstract

We search for hidden independent components, in particular we consider the independent subspace analysis (ISA) task. Earlier ISA procedures assume that the dimensions of the components are known. Here we show a method that enables the non-combinatorial estimation of the components. We make use of a decomposition principle called the ISA separation theorem. According to this separation theorem the ISA task can be reduced to the independent component analysis (ICA) task that assumes one-dimensional components and then to a grouping procedure that collects the respective non-independent elements into independent groups. We show that non-combinatorial grouping is feasible by means of the non-linear f-correlation matrices between the estimated components.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 2007
Volume: 18
Number: 2
ISSN: 0324-721X
Page Range: pp. 213-221
Language: English
Place of Publication: Szeged
Event Title: Symposium of Young Scientists on Intelligent Systems (1.) (2006) (Budapest)
Related URLs: http://acta.bibl.u-szeged.hu/38524/
Uncontrolled Keywords: Számítástechnika, Kibernetika
Additional Information: Bibliogr.: p. 219-221. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.02. Computer and information sciences
Date Deposited: 2016. Oct. 15. 12:25
Last Modified: 2022. Jun. 16. 13:59
URI: http://acta.bibl.u-szeged.hu/id/eprint/12812

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