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

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...

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Bibliographic Details
Main Authors: Szabó Zoltán
Lőrincz András
Corporate Author: Symposium of Young Scientists on Intelligent Systems (1.) (2006) (Budapest)
Format: Article
Published: 2007
Series:Acta cybernetica 18 No. 2
Kulcsszavak:Számítástechnika, Kibernetika
Subjects:
Online Access:http://acta.bibl.u-szeged.hu/12812
Description
Summary: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.
Physical Description:213-221
ISSN:0324-721X