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Title:

Uniqueness of non-Gaussianity-based dimension reduction

Author(s):
Theis, F. J.; Kawanabe, M.; Müller, K. R.
Abstract:
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 m...     »
Keywords:
Identifiability Independent subspace analysis non-Gaussian component analysis projection pursuit
Journal title:
IEEE Trans. Signal Process.
Year:
2011
Journal volume:
59
Journal issue:
9
Pages contribution:
4478 - 4482
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