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Gillis, Nicolas

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Author ID: gillis.nicolas Recent zbMATH articles by "Gillis, Nicolas"
Published as: Gillis, Nicolas
External Links: ORCID
Documents Indexed: 39 Publications since 2010, including 1 Book

Publications by Year

Citations contained in zbMATH Open

25 Publications have been cited 167 times in 124 Documents Cited by Year
On the geometric interpretation of the nonnegative rank. Zbl 1258.65039
Gillis, Nicolas; Glineur, François
30
2012
Using underapproximations for sparse nonnegative matrix factorization. Zbl 1191.68783
Gillis, Nicolas; Glineur, François
17
2010
On computing the distance to stability for matrices using linear dissipative Hamiltonian systems. Zbl 1375.93110
Gillis, Nicolas; Sharma, Punit
16
2017
Low-rank matrix approximation with weights or missing data is NP-hard. Zbl 1242.65077
Gillis, Nicolas; Glineur, François
15
2011
Sparse and unique nonnegative matrix factorization through data preprocessing. Zbl 1436.15013
Gillis, Nicolas
12
2012
Semidefinite programming based preconditioning for more robust near-separable nonnegative matrix factorization. Zbl 1316.15015
Gillis, Nicolas; Vavasis, Stephen A.
9
2015
Heuristics for exact nonnegative matrix factorization. Zbl 1341.65057
Vandaele, Arnaud; Gillis, Nicolas; Glineur, François; Tuyttens, Daniel
9
2016
Finding the nearest positive-real system. Zbl 1390.93296
Gillis, Nicolas; Sharma, Punit
7
2018
A continuous characterization of the maximum-edge biclique problem. Zbl 1305.90349
Gillis, Nicolas; Glineur, François
6
2014
Robust near-separable nonnegative matrix factorization using linear optimization. Zbl 1319.90044
Gillis, Nicolas; Luce, Robert
6
2014
Robustness analysis of Hottopixx, a linear programming model for factoring nonnegative matrices. Zbl 1286.15016
Gillis, Nicolas
5
2013
Sparse nonnegative matrix underapproximation and its application to hyperspectral image analysis. Zbl 1281.65032
Gillis, Nicolas; Plemmons, Robert J.
4
2013
A multilevel approach for nonnegative matrix factorization. Zbl 1241.65039
Gillis, Nicolas; Glineur, François
4
2012
On the linear extension complexity of regular \(n\)-gons. Zbl 1360.52025
Vandaele, Arnaud; Gillis, Nicolas; Glineur, François
3
2017
Successive nonnegative projection algorithm for robust nonnegative blind source separation. Zbl 1296.65065
Gillis, Nicolas
3
2014
Enhancing pure-pixel identification performance via preconditioning. Zbl 1325.65083
Gillis, Nicolas; Ma, Wing-Kin
3
2015
Exact and heuristic algorithms for semi-nonnegative matrix factorization. Zbl 1327.15027
Gillis, Nicolas; Kumar, Abhishek
3
2015
Efficient and non-convex coordinate descent for symmetric nonnegative matrix factorization. Zbl 1414.94636
Vandaele, Arnaud; Gillis, Nicolas; Lei, Qi; Zhong, Kai; Dhillon, Inderjit
3
2016
Approximating the nearest stable discrete-time system. Zbl 1415.65086
Gillis, Nicolas; Karow, Michael; Sharma, Punit
2
2019
Low-rank matrix approximation in the infinity norm. Zbl 1423.15015
Gillis, Nicolas; Shitov, Yaroslav
2
2019
UTA-poly and UTA-splines: additive value functions with polynomial marginals. Zbl 1376.91075
Sobrie, Olivier; Gillis, Nicolas; Mousseau, Vincent; Pirlot, Marc
2
2018
A semi-analytical approach for the positive semidefinite Procrustes problem. Zbl 1380.65103
Gillis, Nicolas; Sharma, Punit
2
2018
On the complexity of robust PCA and \(\ell_1\)-norm low-rank matrix approximation. Zbl 1434.65054
Gillis, Nicolas; Vavasis, Stephen A.
2
2018
Solving the maximum clique problem with symmetric rank-one non-negative matrix approximation. Zbl 1380.65100
Belachew, Melisew Tefera; Gillis, Nicolas
1
2017
Algorithms for positive semidefinite factorization. Zbl 1427.90270
Vandaele, Arnaud; Glineur, François; Gillis, Nicolas
1
2018
Approximating the nearest stable discrete-time system. Zbl 1415.65086
Gillis, Nicolas; Karow, Michael; Sharma, Punit
2
2019
Low-rank matrix approximation in the infinity norm. Zbl 1423.15015
Gillis, Nicolas; Shitov, Yaroslav
2
2019
Finding the nearest positive-real system. Zbl 1390.93296
Gillis, Nicolas; Sharma, Punit
7
2018
UTA-poly and UTA-splines: additive value functions with polynomial marginals. Zbl 1376.91075
Sobrie, Olivier; Gillis, Nicolas; Mousseau, Vincent; Pirlot, Marc
2
2018
A semi-analytical approach for the positive semidefinite Procrustes problem. Zbl 1380.65103
Gillis, Nicolas; Sharma, Punit
2
2018
On the complexity of robust PCA and \(\ell_1\)-norm low-rank matrix approximation. Zbl 1434.65054
Gillis, Nicolas; Vavasis, Stephen A.
2
2018
Algorithms for positive semidefinite factorization. Zbl 1427.90270
Vandaele, Arnaud; Glineur, François; Gillis, Nicolas
1
2018
On computing the distance to stability for matrices using linear dissipative Hamiltonian systems. Zbl 1375.93110
Gillis, Nicolas; Sharma, Punit
16
2017
On the linear extension complexity of regular \(n\)-gons. Zbl 1360.52025
Vandaele, Arnaud; Gillis, Nicolas; Glineur, François
3
2017
Solving the maximum clique problem with symmetric rank-one non-negative matrix approximation. Zbl 1380.65100
Belachew, Melisew Tefera; Gillis, Nicolas
1
2017
Heuristics for exact nonnegative matrix factorization. Zbl 1341.65057
Vandaele, Arnaud; Gillis, Nicolas; Glineur, François; Tuyttens, Daniel
9
2016
Efficient and non-convex coordinate descent for symmetric nonnegative matrix factorization. Zbl 1414.94636
Vandaele, Arnaud; Gillis, Nicolas; Lei, Qi; Zhong, Kai; Dhillon, Inderjit
3
2016
Semidefinite programming based preconditioning for more robust near-separable nonnegative matrix factorization. Zbl 1316.15015
Gillis, Nicolas; Vavasis, Stephen A.
9
2015
Enhancing pure-pixel identification performance via preconditioning. Zbl 1325.65083
Gillis, Nicolas; Ma, Wing-Kin
3
2015
Exact and heuristic algorithms for semi-nonnegative matrix factorization. Zbl 1327.15027
Gillis, Nicolas; Kumar, Abhishek
3
2015
A continuous characterization of the maximum-edge biclique problem. Zbl 1305.90349
Gillis, Nicolas; Glineur, François
6
2014
Robust near-separable nonnegative matrix factorization using linear optimization. Zbl 1319.90044
Gillis, Nicolas; Luce, Robert
6
2014
Successive nonnegative projection algorithm for robust nonnegative blind source separation. Zbl 1296.65065
Gillis, Nicolas
3
2014
Robustness analysis of Hottopixx, a linear programming model for factoring nonnegative matrices. Zbl 1286.15016
Gillis, Nicolas
5
2013
Sparse nonnegative matrix underapproximation and its application to hyperspectral image analysis. Zbl 1281.65032
Gillis, Nicolas; Plemmons, Robert J.
4
2013
On the geometric interpretation of the nonnegative rank. Zbl 1258.65039
Gillis, Nicolas; Glineur, François
30
2012
Sparse and unique nonnegative matrix factorization through data preprocessing. Zbl 1436.15013
Gillis, Nicolas
12
2012
A multilevel approach for nonnegative matrix factorization. Zbl 1241.65039
Gillis, Nicolas; Glineur, François
4
2012
Low-rank matrix approximation with weights or missing data is NP-hard. Zbl 1242.65077
Gillis, Nicolas; Glineur, François
15
2011
Using underapproximations for sparse nonnegative matrix factorization. Zbl 1191.68783
Gillis, Nicolas; Glineur, François
17
2010
all top 5

Cited by 239 Authors

19 Gillis, Nicolas
7 Shitov, Yaroslav Nikolaevich
6 Sharma, Punit
5 Gouveia, Joao
5 Mehrmann, Volker
4 Glineur, François
4 Guglielmi, Nicola
4 Parrilo, Pablo A.
4 Punnen, Abraham P.
4 Robinson, Richard Z.
4 Thomas, Rekha R.
3 Fawzi, Hamza
3 Karapetyan, Daniel
3 Protasov, Vladimir Yu.
3 Van Dooren, Paul M.
3 Vandaele, Arnaud
2 Braun, Gábor
2 Cvetković, Aleksandar S.
2 Devarajan, Karthik
2 Dong, Bo
2 Fiorini, Samuel
2 Glover, Fred W.
2 Kadziński, Miłosz
2 Karow, Michael
2 Kubjas, Kaie
2 Lin, Matthew M.
2 Ma, Wing-Kin
2 Mehl, Christian
2 Mirzal, Andri
2 Mizutani, Tomohiko
2 Park, Haesun
2 Plemmons, Robert James
2 Pokutta, Sebastian
2 Scalone, Carmela
2 Sripratak, Piyashat
2 Vavasis, Stephen A.
1 Abdolali, Maryam
1 Absil, Pierre-Antoine
1 Alemany, Sandra
1 Avis, David M.
1 Banks, David L.
1 Beattie, Christopher A.
1 Belachew, Melisew Tefera
1 Bensmail, Halima
1 Berisha, Sebastian
1 Bobin, Jérôme
1 Bohn, Adam
1 Bolte, Jérôme
1 Boukhetala, Kamel
1 Boumal, Nicolas
1 Bremner, David
1 Burger, Thomas
1 Che, Hangjun
1 Chen, Lixia
1 Chen, Wensheng
1 Cheng, Huan-Chang
1 Chenot, Cécile
1 Cheung, Vincent C. K.
1 Chewle, Surahit
1 Chi, Chong-Yung
1 Chistikov, Dmitry V.
1 Choi, Kup-Sze
1 Chouh, Meriem
1 Chu, Moody T.
1 Cinelli, Marco
1 Colubi, Ana
1 Corrente, Salvatore
1 Courty, Nicolas
1 Dai, Xiangguang
1 d’Aspremont, Alexandre
1 de Laat, David
1 Del Buono, Nicoletta
1 Derbanosov, R. Yu.
1 Deville, Yannick
1 Dragomir, Radu-Alexandru
1 Duarte, Abraham
1 Duginov, O. I.
1 Ebrahimi, Nader D.
1 Elser, Veit
1 Epifanio, Irene
1 Esposito, Flavia Lucia
1 Fackeldey, Konstantin
1 Faenza, Yuri
1 Fisikopoulos, Vissarion
1 Gallopoulos, Efstratios
1 Gao, Xin
1 García-Bárzana, Marta
1 García Mollá, Victor Manuel
1 Gillard, Jonathan W.
1 Glynn, Chris
1 Gong, Pinghua
1 Gong, Xing
1 Goucha, António Pedro
1 Greco, Salvatore
1 Gribling, Sander
1 Guillemard, Mijail
1 Hanafi, Mohamed
1 Hao, Jin-Kao
1 He, Yunlong
1 Hosseini, Shahram
...and 139 more Authors
all top 5

Cited in 63 Serials

14 Linear Algebra and its Applications
8 SIAM Journal on Matrix Analysis and Applications
7 Mathematical Programming. Series A. Series B
5 Pattern Recognition
3 Journal of Computational and Applied Mathematics
3 Machine Learning
3 Journal of Global Optimization
3 European Journal of Operational Research
3 Computational Optimization and Applications
3 SIAM Journal on Imaging Sciences
2 Discrete Applied Mathematics
2 Automatica
2 Journal of Optimization Theory and Applications
2 Mathematics of Operations Research
2 SIAM Journal on Numerical Analysis
2 Discrete & Computational Geometry
2 Computers & Operations Research
2 SIAM Journal on Discrete Mathematics
2 Journal of Scientific Computing
2 Neural Networks
2 Neural Computation
2 Computational Mathematics and Mathematical Physics
2 Numerical Linear Algebra with Applications
2 ELA. The Electronic Journal of Linear Algebra
2 SIAM Journal on Mathematics of Data Science
1 Communications in Algebra
1 Journal of Computational Physics
1 Journal of Mathematical Biology
1 Linear and Multilinear Algebra
1 Calcolo
1 Information Sciences
1 Journal of the American Statistical Association
1 Journal of Combinatorial Theory. Series A
1 SIAM Journal on Control and Optimization
1 Theoretical Computer Science
1 Applied Numerical Mathematics
1 Algorithmica
1 International Journal of Approximate Reasoning
1 Multidimensional Systems and Signal Processing
1 Numerical Algorithms
1 Computational Statistics
1 Computational Statistics and Data Analysis
1 SIAM Journal on Optimization
1 Vestnik St. Petersburg University. Mathematics
1 SIAM Journal on Scientific Computing
1 Statistical Papers
1 International Journal of Computer Vision
1 Advances in Computational Mathematics
1 INFORMS Journal on Computing
1 Journal of Mathematical Chemistry
1 Doklady Mathematics
1 Data Mining and Knowledge Discovery
1 Trudy Instituta Matematiki
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Systems Science and Complexity
1 Sampling Theory in Signal and Image Processing
1 Advances in Data Analysis and Classification. ADAC
1 Mathematical Programming Computation
1 Numerical Algebra, Control and Optimization
1 Axioms
1 Bayesian Analysis
1 SIAM Journal on Applied Algebra and Geometry

Citations by Year