Separation Theorem for Independent Subspace Analysis with Sufficient Conditions

Simple item page
dc.creatorSzabo, Zoltan
dc.creatorPoczos, Barnabas
dc.creatorLorincz, Andras
dc.date2006-03-22
dc.date2006-03-23
dc.date.accessioned2026-07-07T08:07:40Z
dc.date.available2026-07-07T08:07:40Z
dc.descriptionHere, a separation theorem about Independent Subspace Analysis (ISA), a generalization of Independent Component Analysis (ICA) is proven. According to the theorem, ISA estimation can be executed in two steps under certain conditions. In the first step, 1-dimensional ICA estimation is executed. In the second step, optimal permutation of the ICA elements is searched for. We present sufficient conditions for the ISA Separation Theorem. Namely, we shall show that (i) elliptically symmetric sources, (ii) 2-dimensional sources invariant to 90 degree rotation, among others, satisfy the conditions of the theorem.
dc.description11 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/math/0603535
dc.identifierhttp://arxiv.org/abs/math/0603535
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131010
dc.subjectStatistics Theory
dc.subject62G05; 62M10
dc.titleSeparation Theorem for Independent Subspace Analysis with Sufficient Conditions
dc.typetext

Files

Collections

arXiv