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SIAMSC
2008
167views more  SIAMSC 2008»
13 years 7 months ago
Low-Dimensional Polytope Approximation and Its Applications to Nonnegative Matrix Factorization
In this study, nonnegative matrix factorization is recast as the problem of approximating a polytope on the probability simplex by another polytope with fewer facets. Working on th...
Moody T. Chu, Matthew M. Lin
PR
2008
97views more  PR 2008»
13 years 7 months ago
SVD based initialization: A head start for nonnegative matrix factorization
We describe Nonnegative Double Singular Value Decomposition (NNDSVD), a new method designed to enhance the initialization stage of nonnegative matrix factorization (NMF). NNDSVD c...
Christos Boutsidis, Efstratios Gallopoulos
IPM
2006
151views more  IPM 2006»
13 years 7 months ago
Document clustering using nonnegative matrix factorization
A methodology for automatically identifying and clustering semantic features or topics in a heterogeneous text collection is presented. Textual data is encoded using a low rank no...
Farial Shahnaz, Michael W. Berry, V. Paul Pauca, R...
INFORMATICALT
2008
93views more  INFORMATICALT 2008»
13 years 7 months ago
Robust Watermarking based on Subsampling and Nonnegative Matrix Factorization
Abstract. This paper presents a novel robust digital image watermarking scheme using subsampling and nonnegative matrix factorization. Firstly, subsampling is used to construct a s...
Wei Lu, Hongtao Lu
IJON
2008
92views more  IJON 2008»
13 years 7 months ago
Nonnegative matrix factorization with quadratic programming
Nonnegative Matrix Factorization (NMF) solves the following problem: find such nonnegative matrices A RI
Rafal Zdunek, Andrzej Cichocki
CORR
2008
Springer
92views Education» more  CORR 2008»
13 years 7 months ago
Nonnegative Matrix Factorization via Rank-One Downdate
Nonnegative matrix factorization (NMF) was popularized as a tool for data mining by Lee and Seung in 1999. NMF attempts to approximate a matrix with nonnegative entries by a produ...
Michael Biggs, Ali Ghodsi, Stephen A. Vavasis
CORR
2010
Springer
200views Education» more  CORR 2010»
13 years 7 months ago
A Multilevel Approach For Nonnegative Matrix Factorization
Nonnegative Matrix Factorization (NMF) is the problem of approximating a nonnegative matrix with the product of two low-rank nonnegative matrices and has been shown to be particul...
Nicolas Gillis, François Glineur
CORR
2008
Springer
118views Education» more  CORR 2008»
13 years 7 months ago
Descent methods for Nonnegative Matrix Factorization
In this paper, we present several descent methods that can be applied to nonnegative matrix factorization and we analyze a recently developped fast block coordinate method. We als...
Ngoc-Diep Ho, Paul Van Dooren, Vincent D. Blondel
BMCBI
2010
155views more  BMCBI 2010»
13 years 7 months ago
A flexible R package for nonnegative matrix factorization
Background: Nonnegative Matrix Factorization (NMF) is an unsupervised learning technique that has been applied successfully in several fields, including signal processing, face re...
Renaud Gaujoux, Cathal Seoighe
ICASSP
2010
IEEE
13 years 7 months ago
Multiplicative update rules for nonnegative matrix factorization with co-occurrence constraints
Nonnegative matrix factorization (NMF) is a widely-used tool for obtaining low-rank approximations of nonnegative data such as digital images, audio signals, textual data, financ...
Steven K. Tjoa, K. J. Ray Liu