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  • Search: subject:"nonnegative rank"
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Year of publication
Subject
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nonnegative rank 4 linear Euclidean distance matrices 2 Algorithmic complexity 1 Biclique finding algorithm 1 Mathematical programming 1 Mathematische Optimierung 1 Maximum-edge biclique problem 1 Nonnegative rank-one approximation 1 Ranking method 1 Ranking-Verfahren 1 Theorie 1 Theory 1 computational complexity 1 computational geometry 1 cone factorization 1 convex set 1 exact nonnegative matrix factorization 1 extended formulations 1 extension complexity 1 finite mixture 1 heuristics 1 hybridization 1 latent class analysis 1 lifts 1 nested polytopes 1 nonnegative matrix factorization 1 polytope 1 positive semidefinite rank 1 rank estimation 1 restricted nonnegative rank 1 simulated annealing 1 slack matrices 1
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Online availability
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Free 3 Undetermined 1
Type of publication
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Book / Working Paper 3 Article 2
Type of publication (narrower categories)
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Article in journal 1 Aufsatz in Zeitschrift 1
Language
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Undetermined 4 English 1
Author
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Gillis, Nicolas 2 Glineur, François 2 GILLIS, Nicolas 1 GLINEUR, François 1 Gouveia, João 1 Hiroyuki, Kasahara 1 Katsumi, Shimotsu 1 Parrilo, Pablo A. 1 Thomas, Rekha R. 1 Tuyttens, Daniel 1 Vandaele, Arnaud 1
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Institution
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Center for Operations Research and Econometrics (CORE), École des Sciences Économiques de Louvain 2 Institute of Economic Research, Hitotsubashi University 1
Published in...
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CORE Discussion Papers 2 Global COE Hi-Stat Discussion Paper Series 1 Journal of Global Optimization 1 Mathematics of operations research 1
Source
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RePEc 4 ECONIS (ZBW) 1
Showing 1 - 5 of 5
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On the geometric interpretation of the nonnegative rank
GILLIS, Nicolas; GLINEUR, François - Center for Operations Research and Econometrics (CORE), … - 2010
The nonnegative rank of a nonnegative matrix is the minimum number of nonnegative rank-one factors needed to …. In this paper, we introduce and study a related quantity, called the restricted nonnegative rank. We show that computing …. This in turn sheds new light on the nonnegative rank problem, and in particular allows us to provide new improved lower …
Persistent link: https://www.econbiz.de/10008836147
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Heuristics for exact nonnegative matrix factorization
Gillis, Nicolas; Glineur, François; Tuyttens, Daniel; … - Center for Operations Research and Econometrics (CORE), … - 2015
. Finally, we discuss the use of these heuristics to gain insight on the behavior of the nonnegative rank, i.e., the minimum … factorization rank such that an exact NMF exists. In particular, we disprove a conjecture on the nonnegative rank of a Kronecker … extension complexity of regular n-gons and (ii) the nonnegative rank of a submatrix of the slack matrix of the correlation …
Persistent link: https://www.econbiz.de/10011246293
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Nonparametric Identification and Estimation of the Number of Components in Multivariate Mixtures
Hiroyuki, Kasahara; Katsumi, Shimotsu - Institute of Economic Research, Hitotsubashi University - 2012
This article analyzes the identifiability of the number of components in k-variate, M-component finite mixture models in which each component distribution has independent marginals, including models in latent class analysis. Without making parametric assumptions on the component distributions,...
Persistent link: https://www.econbiz.de/10010614057
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A continuous characterization of the maximum-edge biclique problem
Gillis, Nicolas; Glineur, François - In: Journal of Global Optimization 58 (2014) 3, pp. 439-464
The problem of finding large complete subgraphs in bipartite graphs (that is, bicliques) is a well-known combinatorial optimization problem referred to as the maximum-edge biclique problem (MBP), and has many applications, e.g., in web community discovery, biological data analysis and text...
Persistent link: https://www.econbiz.de/10010994158
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Lifts of convex sets and cone factorizations
Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R. - In: Mathematics of operations research 38 (2013) 2, pp. 248-264
Persistent link: https://www.econbiz.de/10009751529
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