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Archetypal analysis and non-negative matrix factorization (NMF) are staples in a statisticians toolbox for dimension reduction and exploratory data analysis.
Geometric mixture analysis of imaging spectrometry data
J.W. Boardman · 1994
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Archetypal analysis
Adele Cutler and Leo Breiman · 1994
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An elementary introduction to modern convex geometry
Keith Ball · 1997
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Learning the parts of objects by non-negative matrix factorization
D.D. Lee and H.S. Seung · 1999
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Gene-expression profiles in hereditary breast cancer
Ingrid Hedenfalk, David Duggan, Yidong Chen, Michael Radmacher, Michael Bittner, Richard Simon, Paul Meltzer, Barry Gusterson, Manel Esteller, Mark Raffeld, Zohar Yakhini, Amir Ben-Dor, Edward Dougherty, Juha Kononen, Lukas Bubendorf, Wilfrid Fehrle, Stefania Pittaluga, Sofia Gruvberger, Niklas Loman, Oskar Johannsson, Håkan Olsson, Benjamin Wilfond, Guido Sauter, Olli-P. Kallioniemi, Åke Borg, and Jeffrey Trent · 2001
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Algorithms for non-negative matrix factorization
Daniel D Lee and H Sebastian Seung · 2001
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When does non-negative matrix factorization give a correct decomposition into parts?
D.L. Donoho and V. Stodden · 2003
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Signal theory methods in multispectral remote sensing
David A Landgrebe · 2003
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Metagenes and molecular pattern discovery using matrix factorization
Jean-Philippe Brunet, Pablo Tamayo, Todd R Golub, and Jill P Mesirov · 2004
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Vertex component analysis: a fast algorithm to unmix hyperspectral data
J.M.P. Nascimento and J.M. Bioucas Dias · 2005
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A fast iterative algorithm for implementation of pixel purity index
Chein-I Chang and A. Plaza · 2006
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Model selection and estimation in regression with grouped variables
Ming Yuan and Yi Lin · 2006
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The inflammatory chemokines ccl2 and ccl5 in breast cancer
Gali Soria and Adit Ben-Baruch · 2008
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On the complexity of nonnegative matrix factorization
S.A. Vavasis · 2009
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Templates for convex cone problems with applications to sparse signal recovery
Stephen R Becker, Emmanuel J Candès, and Michael C Grant · 2011
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A convex model for nonnegative matrix factorization and dimensionality reduction on physical space
E. Esser, M. Moller, S. Osher, G. Sapiro, and J. Xin · 2012
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Fast and robust recursive algorithms for separable nonnegative matrix factorization
N. Gillis and S.A. Vavasis · 2012
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Group sparsity in nonnegative matrix factorization
Jingu Kim, Renato Monteiro, and Haesun Park · 2012
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Topic discovery through data dependent and random projections
Weicong Ding, Mohammad Hossein Rohban, Prakash Ishwar, and Venkatesh Saligrama · 2013
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Robustness analysis of hottopixx, a linear programming model for factoring nonnegative matrices
N. Gillis · 2013
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Support union recovery in high-dimensional multivariate regression
Guillaume Obozinski, Martin J Wainwright, Michael I Jordan, et al · 2011
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Computing a nonnegative matrix factorization – provably
S. Arora, R. Ge, R. Kannan, and A. Moitra · 2012
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Factoring nonnegative matrices with linear programs
V. Bittorf, B. Recht, C. Re, and J.A. Tropp · 2012
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Semidefinite Programming Based Preconditioning for More Robust Near-Separable Nonnegative Matrix Factorization
N. Gillis and S. A. Vavasis · 2013
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Fast conical hull algorithms for near-separable non-negative matrix factorization
A. Kumar, V. Sindhwani, and P. Kambadur · 2013
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An in vivo functional screen identifies st6galnac2 sialyltransferase as a breast cancer metastasis suppressor
Nirupa Murugaesu, Marjan Iravani, Antoinette van Weverwijk, Aleksandar Ivetic, Damian A Johnson, Aristotelis Antonopoulos, Antony Fearns, Mariam Jamal-Hanjani, David Sims, Kerry Fenwick, et al · 2014
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