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Optimization Algorithms for Sparse Representations and Applications

Georgiev, P. ; Theis, Fabian J. ; Cichocki, A. Hager, William W. , eds.



Abstract

We consider the following sparse representation problem, which is called Sparse Component Analysis: identify the matrices S ∈ IRn×N and A ∈ IRm×n (m ≤ n < N) uniquely (up to permutation of scaling), 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). ...

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