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Nonnegative matrix factorization with bounded total variational regularization for face recognition
- Source :
-
Pattern Recognition Letters . Dec2010, Vol. 31 Issue 16, p2468-2473. 6p. - Publication Year :
- 2010
-
Abstract
- Abstract: Nonnegative matrix factorization (NMF) is a recently developed technique for finding parts-based, linear representations of nonnegative data based on minimizing least square error (L 2 norm). However it has been observed that the proper norm for images is the bounded total variation (TV) norm other than the L 2 norm. The space of functions of bounded TV allows discontinuous solution and plays an important role in image processing. In this paper, we propose a new NMF model with bounded TV regularization for identifying discriminate representation of image patterns. We provide a simple update rule for computing the factorization and give supporting theoretical analysis. Finally, we perform a series of numerical experiments to show evidence of the good behavior of the numerical scheme. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01678655
- Volume :
- 31
- Issue :
- 16
- Database :
- Academic Search Index
- Journal :
- Pattern Recognition Letters
- Publication Type :
- Academic Journal
- Accession number :
- 53968399
- Full Text :
- https://doi.org/10.1016/j.patrec.2010.08.001