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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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: angol
Event Title: Symposium of Young Scientists on Intelligent Systems, 1., 2006, Budapest
Uncontrolled Keywords: Természettudomány, Informatika
Additional Information: Bibliogr.: p. 219-221.; Abstract
Date Deposited: 2016. Oct. 15. 12:25
Last Modified: 2018. Jun. 05. 14:12

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