Georgiev, P., Theis, Fabian J. and Cichocki, A.
(2006)
*Optimization Algorithms for Sparse Representations and Applications.*
In: Hager, William W., (ed.)
Multiscale Optimization Methods and Applications.
Nonconvex Optimization and Its Applications, 82.
Springer, New York, NY, pp. 85-99.
ISBN 978-0-387-29550-3 (e-book), 978-0-387-29549-7 (Print).

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## 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). ...

## Export bibliographical data

Item type: | Book section | ||||
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Date: | 2006 | ||||

Institutions: | Biology, Preclinical Medicine > Institut für Biophysik und physikalische Biochemie > Prof. Dr. Elmar Lang | ||||

Identification Number: |
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Related URLs: |
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Keywords: | Sparse Component Analysis - Blind Source Separation - underdetermined mixtures | ||||

Dewey Decimal Classification: | 500 Science > 570 Life sciences | ||||

Status: | Published | ||||

Refereed: | Unknown | ||||

Created at the University of Regensburg: | Unknown | ||||

Item ID: | 17322 |