Separation Theorem for K-Independent Subspace Analysis with Sufficient Conditions

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dc.creatorSzabo, Zoltan
dc.creatorPoczos, Barnabas
dc.creatorLorincz, Andras
dc.date2006-08-03
dc.date2006-08-10
dc.date.accessioned2026-07-07T08:08:05Z
dc.date.available2026-07-07T08:08:05Z
dc.descriptionHere, a Separation Theorem about K-Independent Subspace Analysis (K real or complex), a generalization of K-Independent Component Analysis (KICA) is proven. According to the theorem, KISA estimation can be executed in two steps under certain conditions. In the first step, 1-dimensional KICA estimation is executed. In the second step, optimal permutation of the KICA elements is searched for. We present sufficient conditions for the KISA Separation Theorem. Namely, we shall show that (i) spherically symmetric sources (both for real and complex cases), as well as (ii) real 2-dimensional sources invariant to 90 degree rotation, among others, satisfy the conditions of the theorem.
dc.descriptionReference [13]: corrected
dc.identifierhttps://arxiv.org/abs/math/0608100
dc.identifierhttp://arxiv.org/abs/math/0608100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131142
dc.subjectStatistics Theory
dc.titleSeparation Theorem for K-Independent Subspace Analysis with Sufficient Conditions
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