ICA by Tensorial Methods

Aapo Hyvärinen, Juha Karhunen, Erkki Oja · 2001

An approach to ICA estimation that is rather different from those in the previous chapters is given by tensorial methods. The fourth-order cumulants of mixtures give all the fourth-order information inherent in the data. They can be used to define a tensor, which is a generalization of the covariance matrix. Then we can apply eigenvalue decomposition on this matrix. The eigenvectors more or less directly give the mixing matrix for whitened data.

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