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Sparse Component Analysis and Blind Source Separation of Underdetermined Mixtures

Georgiev, P. ; Theis, Fabian J. ; Cichocki, A.


We solve the problem of identifying matrices S and A knowing only their multiplication X = AS, under some conditions, expressed either in terms of A and sparsity of S (identifiability conditions), or in terms of X (Sparse Component Analysis conditions). We present algorithms for such identification and illustrate them by examples.

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