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Open Access Green as soon as Postprint is submitted to ZB.
Uniqueness of non-Gaussianity-based dimension reduction.
IEEE Trans. Signal Process. 59, 4478 - 4482 (2011)
Dimension reduction is a key step in preprocessing large-scale data sets. A recently proposed method named non-Gaussian component analysis searches for a projection onto the non-Gaussian part of a given multivariate recording, which is a generalization of the deflationary projection pursuit model. In this contribution, we discuss the uniqueness of the subspaces of such a projection. We prove that a necessary and sufficient condition for uniqueness is that the non-Gaussian signal subspace is of minimal dimension. Furthermore, we propose a measure for estimating this minimal dimension and illustrate it by numerical simulations. Our result guarantees that projection algorithms uniquely recover the underlying lower dimensional data signals.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Identifiability; Independent subspace analysis; non-Gaussian component analysis; projection pursuit
ISSN (print) / ISBN
1053-587X
e-ISSN
1941-0476
Quellenangaben
Volume: 59,
Issue: 9,
Pages: 4478 - 4482
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Publishing Place
Piscataway, NJ
Non-patent literature
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Reviewing status
Peer reviewed