Uniqueness of Non-Gaussianity-Based Dimension Reduction

@article{Theis2011UniquenessON,
  title={Uniqueness of Non-Gaussianity-Based Dimension Reduction},
  author={Fabian J. Theis and Motoaki Kawanabe and Klaus-Robert M{\"u}ller},
  journal={IEEE Transactions on Signal Processing},
  year={2011},
  volume={59},
  pages={4478-4482}
}
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… CONTINUE READING

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