Towards unique solutions of non-negative matrix factorization problems by a determinant criterion

Schachtner, R. and Poeppel, G. and Lang, E. W. (2011) Towards unique solutions of non-negative matrix factorization problems by a determinant criterion. DIGITAL SIGNAL PROCESSING, 21 (4). pp. 528-534. ISSN 1051-2004, 1095-4333

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Abstract

We propose a determinant criterion to constrain the solutions of non-negative matrix factorization problems and achieve unique and optimal solutions in a general setting, provided an exact solution exists. We demonstrate how optimal solutions are obtained by a heuristic named detNMF in an illustrative example and discuss the difference to sparsity constraints. Furthermore, an intuitive explanation of multi-layer techniques is discussed also. (C) 2011 Elsevier Inc. All rights reserved.

Item Type: Article
Uncontrolled Keywords: SPARSE COMPONENT ANALYSIS; GENETIC ALGORITHMS; CLASSIFICATION; CONSTRAINTS; TENSOR; Non-negative matrix factorization; Uniqueness; Blind source separation
Subjects: 500 Science > 570 Life sciences
Divisions: Biology, Preclinical Medicine > Institut für Biophysik und physikalische Biochemie
Biology, Preclinical Medicine > Institut für Biophysik und physikalische Biochemie > Prof. Dr. Elmar Lang
Depositing User: Dr. Gernot Deinzer
Date Deposited: 09 Jun 2020 06:23
Last Modified: 09 Jun 2020 06:23
URI: https://pred.uni-regensburg.de/id/eprint/20639

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