2024
Scientific journals/Article
- Esposito, F., Atif, S. M., & Gillis, N. (September 2024). Accelerated SVD-based initialization for nonnegative matrix factorization. "Computational and Applied Mathematics, 43" (6). doi:10.1007/s40314-024-02905-1
- Abdolali, M., Barbarino, G., & Gillis, N. (2024). Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization. "SIAM Journal on Imaging Sciences".
- Gillis, N., & Van Dooren, P. (2024). Assigning Stationary Distributions to Sparse Stochastic Matrices. "SIAM Journal on Matrix Analysis and Applications".
- Gillis, N., & Luce, R. (18 July 2024). Checking the Sufficiently Scattered Condition using a Global Non-Convex Optimization Software. "IEEE Signal Processing Letters, 31", 1610-1614. doi:10.1109/LSP.2024.3411521
- Leplat, V., Le Thi Khanh Hien, Onwunta, A., & Gillis, N. (01 April 2024). Deep Nonnegative Matrix Factorization with Beta Divergences. "Neural Computation, 36" (11), 2365-2402. doi:10.1162/neco_a_01679
- Choudhary, N., Gillis, N., & Sharma, P. (2024). Characterizing matrices with eigenvalues in an LMI region: A dissipative-Hamiltonian approach. "Linear and Multilinear Algebra". doi:10.1080/03081087.2024.2304144
Scientific congresses and symposiums/Paper published in a journal
- Dache, A., Vandaele, A., & Gillis, N. (2024). Orthogonal Symmetric Nonnegative Matrix Tri-Factorization. "IEEE International Workshop on Machine Learning for Signal Processing".
- Lefebvre, J., Vandaele, A., & Gillis, N. (2024). Component-wise Squared Factorization. "IEEE International Workshop on Machine Learning for Signal Processing".
- Awari, A. A., Nguyen, H., Wertz, S., Vandaele, A., & Gillis, N. (2024). Coordinate Descent Algorithm for Nonlinear Matrix Decomposition with the ReLU function. "European Signal Processing Conference".
- Vu thanh, O., & Gillis, N. (2024). Minimum-Volume Nonnegative Matrix Completion. "European Signal Processing Conference".
Scientific congresses and symposiums/Paper published on a website
- Loconte, L., Sladek, A., Mengel, S., Trapp, M., Solin, A., Gillis, N., & Vergari, A. (May 2024). "Subtractive Mixture Models via Squaring: Representation and Learning" [Paper presentation]. International Conference on Learning Representations (ICLR), Vienne, Austria.
2023
Parts of books/Contribution to collective works
- Brie, D., Gillis, N., & Moussaoui, S. (2023). Non‐negative Matrix Factorization. In Christian Jutten, Leonardo Tomazeli Duarte, ... Saïd Moussaoui, "Source Separation in Physical‐Chemical Sensing". Hoboken, United States: John Wiley & Sons. doi:10.1002/9781119137252.ch3
Scientific journals/Article
- Nadisic, N., Gillis, N., & Kervazo, C. (11 July 2023). Smoothed Separable Nonnegative Matrix Factorization. "Linear Algebra and its Applications, 676", 174-204. doi:10.1016/j.laa.2023.07.013
- Vu thanh, O., Gillis, N., & Lecron, F. (31 May 2023). Bounded Simplex-Structured Matrix Factorization: Algorithms, Identifiability and Applications. "IEEE Transactions on Signal Processing, 71", 2434-2447. doi:10.1109/TSP.2023.3289704
- Hautecoeur, C., De Lathauwer, L., Gillis, N., & Glineur, F. (01 April 2023). Least-squares methods for nonnegative matrix factorization over rational functions. "IEEE Transactions on Signal Processing, 71", 1712-1724. doi:10.1109/TSP.2023.3260560
- Leplat, V., Nesterov, Y., Gillis, N., & Glineur, F. (01 March 2023). Conic-Optimization Based Algorithms for Nonnegative Matrix Factorization. "Optimization Methods and Software, 38" (4), 837-859. doi:10.1080/10556788.2023.2189714
- Hien, L. T. K., Duy Nhat Phan, & Gillis, N. (02 February 2023). An Inertial Block Majorization Minimization Framework for Nonsmooth Nonconvex Optimization. "Journal of Machine Learning Research, 24" (18), 1-41.
- Gillis, N., & Rajkó, R. (16 January 2023). Partial Identifiability for Nonnegative Matrix Factorization. "SIAM Journal on Matrix Analysis and Applications, 44" (1), 27-52. doi:10.1137/22M1507553
- De handschutter, P., & Gillis, N. (2023). A consistent and flexible framework for deep matrix factorizations. "Pattern Recognition", 109102. doi:10.1016/j.patcog.2022.109102
Scientific congresses and symposiums/Paper published in a journal
- Daglayan, H., Vary, S., Leplat, V., Gillis, N., & Absil, P.-A. (2023). Direct Exoplanet Detection Using L1 Norm Low-Rank Approximation. "BNAIC/BeNeLearn conference".
- Seraghiti, G., Awari, A. A., Vandaele, A., Porcelli, M., & Gillis, N. (2023). Accelerated Algorithms for Nonlinear Matrix Decomposition with the ReLU function. "IEEE International Workshop on Machine Learning for Signal Processing". doi:10.1109/MLSP55844.2023.10285984
- Kolomvakis, C., Vandaele, A., & Gillis, N. (2023). Algorithms for Boolean Matrix Factorization using Integer Programming. "IEEE International Workshop on Machine Learning for Signal Processing". doi:10.1109/MLSP55844.2023.10285969
- Kolomvakis, C., & Gillis, N. (2023). Robust Binary Component Decompositions. "IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings". doi:10.1109/ICASSP49357.2023.10096739
- De handschutter, P., Gillis, N., & Blekic, W. (2023). Deep Symmetric Matrix Factorization. "European Signal Processing Conference".
- Vu thanh, O., & Gillis, N. (2023). Identifiability of Polytopic Matrix Factorization. "European Signal Processing Conference". doi:10.23919/EUSIPCO58844.2023.10290012
- Dache, A., Nicolas Nadisic, Vandaele, A., & Gillis, N. (2023). Exact and Heuristic Methods for Simultaneous Sparse Coding. "European Signal Processing Conference". doi:10.23919/EUSIPCO58844.2023.10289845
Scientific congresses and symposiums/Paper published on a website
- Loconte, L., Stefan Mengel, Gillis, N., & Vergari, A. (04 August 2023). "Negative Mixture Models via Squaring" [Paper presentation]. 6th UAI Workshop on Tractable Probabilistic Modeling, Pittsburgh, United States.
Dissertations and theses/Doctoral thesis
- De handschutter, P. (2023). "Multilayer and deep matrix factorizations" [Doctoral thesis, UMONS - Université de Mons]. ORBi UMONS-University of Mons. https://orbi.umons.ac.be/handle/20.500.12907/49814
2022
Scientific journals/Article
- Ohib, R., Gillis, N., Dalmasso, N., Shah, S., Potluru, V. K., & Plis, S. (2022). Explicit Group Sparse Projection with Applications to Deep Learning and NMF. "Transactions on Machine Learning Research".
- Nadisic, N., Cohen, J. E., Vandaele, A., & Gillis, N. (10 October 2022). Matrix-wise ℓ0-constrained Sparse Nonnegative Least Squares. "Machine Learning, 111", 4453-4495. doi:10.1007/s10994-022-06260-2
- Abdolali, M., & Gillis, N. (2022). Revisiting data augmentation for subspace clustering. "Knowledge-Based Systems", 109974. doi:10.1016/j.knosys.2022.109974
- Gillis, N., Le, T. K. H., Leplat, V., & Tan, V. Y. F. (01 August 2022). Distributionally Robust and Multi-Objective Nonnegative Matrix Factorization. "IEEE Transactions on Pattern Analysis and Machine Intelligence, 8", 4052-4064. doi:10.1109/TPAMI.2021.3058693
- Hien, L. T. K., Phan, D. N., & GILLIS, N. (19 July 2022). Inertial alternating direction method of multipliers for non-convex non-smooth optimization. "Computational Optimization and Applications, 83", 247-285. doi:10.1007/s10589-022-00394-8
- Baghel, M. K., Gillis, N., & Sharma, P. (07 April 2022). On the non-symmetric semidefinite Procrustes problem. "Linear Algebra and its Applications, 648", 133-159. doi:10.1016/j.laa.2022.04.001
- Leplat, V., Gillis, N., & Févotte, C. (01 April 2022). Multi-Resolution Beta-Divergence NMF for Blind Spectral Unmixing. "Signal Processing, 193".
- Le, T. K. H., Phan, D. N., Gillis, N., Ahookhosh, M., & Patrinos, P. (13 January 2022). Block Alternating Bregman Majorization Minimization with Extrapolation. "SIAM Journal on Mathematics of Data Science, 4" (1), 1-25.
Scientific congresses and symposiums/Paper published in a journal
- Abdolali, M., & Gillis, N. (2022). Subspace Clustering Using Unsupervised Data Augmentation. "IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings". doi:10.1109/ICASSP43922.2022.9746944
- Vu Thanh, O., Gillis, N., & Lecron, F. (2022). Bounded Simplex-Structured Matrix Factorization. "IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings". doi:10.1109/ICASSP43922.2022.9747124
Scientific congresses and symposiums/Paper published on a website
- Vu thanh, O., Nadisic, N., & Gillis, N. (05 September 2022). "Randomized Successive Projection Algorithm" [Paper presentation]. Colloque GRETSI.
Dissertations and theses/Doctoral thesis
- Nadisic, N. (2022). "Sparsity and Nonnegativity in Least Squares Problems and Matrix Factorizations" [Doctoral thesis, UMONS - Université de Mons]. ORBi UMONS-University of Mons. https://orbi.umons.ac.be/handle/20.500.12907/49820
2021
Scientific journals/Article
- Atif, S. M., Gillis, N., Qazi, S., & Naseem, I. (15 October 2021). Structured Nonnegative Matrix Factorization for Traffic Flow Estimation of Large Cloud Networks. "Computer Networks, 201".
- Abdolali, M., & Gillis, N. (12 October 2021). Beyond Linear Subspace Clustering: A Comparative Study of Nonlinear Manifold Clustering Algorithms. "Computer Science Review, 42".
- Kervazo, C., Gillis, N., & Dobigeon, N. (10 September 2021). Provably robust blind source separation of linear-quadratic near-separable mixtures. "SIAM Journal on Imaging Sciences, 14" (4), 1848-1889.
- De Handschutter, P., Gillis, N., & Siebert, X. (10 August 2021). A Survey on Deep Matrix Factorizations. "Computer Science Review, 42".
- Gillis, N., & Sharma, P. (01 August 2021). Minimal-norm static feedbacks using dissipative Hamiltonian matrices. "Linear Algebra and its Applications, 623", 258-281. doi:10.1016/j.laa.2020.02.008
- Baghel, M. K., Gillis, N., & Sharma, P. (15 June 2021). Characterization of the dissipative mappings and their application to perturbations of dissipative-Hamiltonian systems. "Numerical Linear Algebra with Applications, 28" (6).
- Ahookhosh, M., Le, T. K. H., Gillis, N., & Patrinos, P. (07 June 2021). A block inertial Bregman proximal algorithm for nonsmooth nonconvex problems with application to symmetric nonnegative matrix tri-factorization. "Journal of Optimization Theory and Applications, 190", 234-258.
- Ahookhosh, M., Le, T. K. H., Gillis, N., & Patrinos, P. (28 May 2021). Multi-block Bregman proximal alternating linearized minimization and its application to sparse orthogonal nonnegative matrix factorization. "Computational Optimization and Applications, 79", 681-715.
- Pan, J., & Gillis, N. (01 May 2021). Generalized Separable Nonnegative Matrix Factorization. "IEEE Transactions on Pattern Analysis and Machine Intelligence, 43" (N° spécial), 1546-1561.
- Le, T. K. H., & Gillis, N. (01 May 2021). Algorithms for Nonnegative Matrix Factorization with the Kullback-Leibler Divergence. "Journal of Scientific Computing, 87".
- Ang, M. S., Cohen, J. E., Gillis, N., & Le, T. K. H. (05 March 2021). Accelerating Block Coordinate Descent for Nonnegative Tensor Factorization. "Numerical Linear Algebra with Applications, 28" (5).
- Abdolali, M., & Gillis, N. (19 February 2021). Simplex-Structured Matrix Factorization: Sparsity-based Identifiability and Provably Correct Algorithms. "SIAM Journal on Mathematics of Data Science, 3" (2), 593-623.
- Leplat, V., Gillis, N., & Idier, J. (18 February 2021). Multiplicative Updates for NMF with β-Divergences under Disjoint Equality Constraints. "SIAM Journal on Matrix Analysis and Applications, 42" (2), 730-752.
- Marrinan, T., Absil, P.-A., & Gillis, N. (01 February 2021). On a minimum enclosing ball of a collection of linear subspaces. "Linear Algebra and its Applications, 625", 248-278.
- Moutier, F., Vandaele, A., & Gillis, N. (19 January 2021). Off-diagonal symmetric nonnegative matrix factorization. "Numerical Algorithms, 88", 939-963. doi:10.1007/s11075-020-01063-9
- Dewez, J., Gillis, N., & Glineur, F. (01 January 2021). A geometric lower bound on the extension complexity of polytopes based on the f-vector. "Discrete Applied Mathematics, 303", 22-38. doi:10.1016/j.dam.2020.09.028
Scientific congresses and symposiums/Paper published in a journal
- Nadisic, N., Vandaele, A., Gillis, N., & Cohen, J. E. (2021). Exact biobjective k-sparse nonnegative least squares. "European Signal Processing Conference". doi:10.23919/EUSIPCO54536.2021.9616202
- De Handschutter, P., & Gillis, N. (2021). Deep orthogonal matrix factorization as a hierarchical clustering technique. "European Signal Processing Conference". doi:10.23919/EUSIPCO54536.2021.9615998
- Vu Thanh, O., Ang, M. S., Gillis, N., & Le, T. K. H. (2021). Inertial Majorization-Minimization Algorithm for Minimum-Volume NMF. "European Signal Processing Conference". doi:10.23919/EUSIPCO54536.2021.9616152
- Ang, M. S., Leplat, V., & Gillis, N. (2021). Fast algorithm for complex-NMF with application to source separation. "European Signal Processing Conference". doi:10.23919/EUSIPCO54536.2021.9616335
- Ohib, R., Gillis, N., Shah, S., Potluru, V., & Plis, S. (2021). Grouped Sparse Projection for Deep Learning. "International Conference on Learning Representations".
- Ang, M. S., Gillis, N., Vandaele, A., & De Sterck, H. (2021). Nonnegative Unimodal Matrix Factorization. "IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings". doi:10.1109/ICASSP39728.2021.9414631
Dissertations and theses/Doctoral thesis
- Coppitters, D. (2021). "Robust design optimization of hybrid renewable energy systems" [Doctoral thesis, Université de Mons]. ORBi UMONS-University of Mons. https://orbi.umons.ac.be/handle/20.500.12907/28929
- Leplat, V. (2021). "Nonnegative Matrix Factorization Models, Optimization Problems, Algorithms and Applications" [Doctoral thesis, UMONS - Université de Mons]. ORBi UMONS-University of Mons. https://orbi.umons.ac.be/handle/20.500.12907/49819
2020
Scientific journals/Article
- Ghazli, K., Gillis, N., & Moulaï, M. (2020). Optimizing over the properly efficient set of convex multi-objective optimization problems. "Annals of Operations Research". doi:10.1007/s10479-020-03820-4
- Fu, X., Vervliet, N., De Lathauwer, L., Huang, K., & Gillis, N. (10 September 2020). Nonconvex Optimization Tools for Large-Scale Matrix and Tensor Decomposition with Structured Factors. "IEEE Signal Processing Magazine, 37" (5), 78-94.
- Leplat, V., Gillis, N., & Ang, M. S. (29 April 2020). Blind Audio Source Separation with Minimum-Volume Beta-Divergence NMF. "IEEE Transactions on Signal Processing, 68", 3400-3410.
- Degleris, A., & Gillis, N. (26 March 2020). A Provably Correct and Robust Algorithm for Convolutive Nonnegative Matrix Factorization. "IEEE Transactions on Signal Processing, 68" (1), 2499-2512.
- De Handschutter, P., Gillis, N., Vandaele, A., & Siebert, X. (01 March 2020). Near-Convex Archetypal Analysis. "IEEE Signal Processing Letters, 27" (1), 81-85.
- Choudhary, N., Gillis, N., & Sharma, P. (28 February 2020). On approximating the nearest Ω-stable matrix. "Numerical Linear Algebra with Applications, 27" (3).
- Gillis, N., Karow, M., & Sharma, P. (01 February 2020). A note on approximating the nearest stable discrete-time descriptor system with fixed rank. "Applied Numerical Mathematics, 148", 131-139.
Books/Book published as author, translator, etc.
- Gillis, N. (2020). "Nonnegative Matrix Factorization". SIAM Publishing.
Scientific congresses and symposiums/Paper published in a journal
- Nadisic, N., Vandaele, A., Cohen, J. E., & Gillis, N. (2020). Sparse Separable Nonnegative Matrix Factorization. "European Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases". doi:10.1007/978-3-030-67658-2_20
- Le, T. K. H., Gillis, N., & Patrinos, P. (2020). Inertial Block Proximal Methods for Non-Convex Non-Smooth Optimization. "International Conference on Machine Learning".
- Marrinan, T., & Gillis, N. (2020). Hyperspectral Unmixing with Rare Endmembers via Minimax Nonnegative Matrix Factorization. "European Signal Processing Conference". doi:10.23919/Eusipco47968.2020.9287456
- Kervazo, C., Gillis, N., & Dobigeon, N. (2020). Successive Nonnegative Projection Algorithm for Linear Quadratic Mixtures. "European Signal Processing Conference". doi:10.23919/Eusipco47968.2020.9287788
- Nadisic, N., Vandaele, A., Gillis, N., & Cohen, J. E. (2020). Exact Sparse Nonnegative Least Squares. "IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings".
- Ang, M. S., Cohen, J. E., Le, T. K. H., & Gillis, N. (2020). Extrapolated Alternating Algorithms for Approximate Canonical Polyadic Decomposition. "IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings".
Dissertations and theses/Doctoral thesis
- Ang, M. S. (2020). "Nonnegative Matrix and Tensor Factorizations: Models, Algorithms and Applications" [Doctoral thesis, UMONS - Université de Mons]. ORBi UMONS-University of Mons. https://orbi.umons.ac.be/handle/20.500.12907/49818
2019
Scientific journals/Article
- Ang, M. S., & Gillis, N. (10 July 2019). Algorithms and Comparisons of Non-negative Matrix Factorization with Volume Regularization for Hyperspectral Unmixing. "IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 12" (12), 4843-4853.
- Gillis, N., & Shitov, Y. (10 July 2019). Low-Rank Matrix Approximation in the Infinity Norm. "Linear Algebra and its Applications, 581", 367-382.
- Cohen, J. E., & Gillis, N. (10 July 2019). Identifiability of Complete Dictionary Learning. "SIAM Journal on Mathematics of Data Science, 1" (3), 518-536.
- Abdolali, M., Gillis, N., & Rahmati, M. (19 May 2019). Scalable and Robust Sparse Subspace Clustering Using Randomized Clustering and Multilayer Graphs. "Signal Processing, 163", 166-180.
- Esposito, F., Gillis, N., & Del Buono, N. (22 April 2019). Orthogonal joint sparse NMF for microarray data analysis. "Journal of Mathematical Biology, 79" (1), 223-247.
- Gillis, N., Karow, M., & Sharma, P. (26 March 2019). Approximating the nearest stable discrete-time system. "Linear Algebra and its Applications, 573", 37-53.
- Atif, S. M., Qazi, S., & Gillis, N. (18 February 2019). Improved SVD-based Initialization for Nonnegative Matrix Factorization using Low-Rank Correction. "Pattern Recognition Letters, 122", 53-59.
- Ang, M. S., & Gillis, N. (18 January 2019). Accelerating Nonnegative Matrix Factorization Algorithms Using Extrapolation. "Neural Computation, 31" (2), 417-439.
Scientific congresses and symposiums/Paper published in a journal
- Gillis, N. (2019). Successive Projection Algorithm Robust to Outliers. "IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing".
- Ang, M. S., Cohen, J. E., & Gillis, N. (2019). Accelerating Approximate Nonnegative Canonical Polyadic Decomposition using Extrapolation. "GRETSI".
- Leplat, V., Gillis, N., Siebert, X., & Ang, M. S. (2019). Séparation aveugle de sources sonores par factorization en matrices positives avec pénalité sur le volume du dictionnaire. "GRETSI".
- Gillis, N. (2019). Separable Simplex-Structured Matrix Factorization: Robustness of Combinatorial Approaches. "IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings".
- Leplat, V., Ang, M. S., & Gillis, N. (2019). Minimum-Volume Rank-Deficient Nonnegative Matrix Factorizations. "IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings".
- Cohen, J. E., & Gillis, N. (2019). Nonnegative Low-Rank Sparse Component Analysis. "IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings".
Diverse speeches and writings/Article for a general audience
- Gillis, N. (2019). Learning with Nonnegative Matrix Factorizations. "SIAM News 25 (5)".
2018
Scientific journals/Article
- Gillis, N., & Vavasis, S. (13 June 2018). On the Complexity of Robust PCA and ℓ1-Norm Low-Rank Matrix Approximation. "Mathematics of Operations Research, 43" (4), 1072-1084.
- Gillis, N., & Sharma, P. (17 April 2018). Finding the nearest positive-real system. "SIAM Journal on Numerical Analysis, 56" (2), 1022-1047.
- Gillis, N. (01 April 2018). Multiplicative Updates for Polynomial Root Finding. "Information Processing Letters, 132", 14-18.
- Cohen, J., & Gillis, N. (01 April 2018). Dictionary-based Tensor Canonical Polyadic Decomposition. "IEEE Transactions on Signal Processing, 66" (7), 1876-1889.
- Vandaele, A., Glineur, F., & Gillis, N. (21 March 2018). Algorithms for positive semidefinite factorization. "Computational Optimization and Applications, 71" (1), 193-219.
- Gillis, N., & Sharma, P. (01 March 2018). A semi-analytical approach for the positive semidefinite Procrustes problem. "Linear Algebra and its Applications, 540", 112-137.
- Cohen, J., & Gillis, N. (01 February 2018). Spectral Unmixing with Multiple Dictionaries. "IEEE Geoscience and Remote Sensing Letters, 15" (2), 187-191.
- Gillis, N., Mehrmann, V., & Sharma, P. (18 January 2018). Computing nearest stable matrix pairs. "Numerical Linear Algebra with Applications, 25" (5).
- Sobrie, O., Gillis, N., Mousseau, V., & Pirlot, M. (01 January 2018). UTA-poly and UTA-splines: additive value functions with polynomial marginals. "European Journal of Operational Research, 264", 405-418.
- Gillis, N., & Luce, R. (01 January 2018). A Fast Gradient Method for Nonnegative Sparse Regression with Self Dictionary. "IEEE Transactions on Image Processing, 27" (1), 24-37.
Scientific congresses and symposiums/Paper published in a journal
- Ang, M. S., & Gillis, N. (2018). Volume regularized Non-negative Matrix Factorisations. "Workshop on hyperspectral image and signal processing evolution in remote sensing".
2017
Scientific journals/Book review
- Gillis, N. (01 March 2017). Introduction to Nonnegative Matrix Factorization. "SIAG/OPT Views and News, 25" (1), 7-16.
Scientific journals/Article
- Gillis, N., & Sharma, P. (01 November 2017). On computing the distance to stability for matrices using linear dissipative Hamiltonian systems. "Automatica, 85", 113-121.
- Vandaele, A., Gillis, N., & Glineur, F. (15 May 2017). On the Linear Extension Complexity of Regular n-gons. "Linear Algebra and its Applications, 521", 217-239.
- Belachew, M. T., & Gillis, N. (01 April 2017). Solving the Maximum Clique Problem with Symmetric Rank-One Non-negative Matrix Approximation. "Journal of Optimization Theory and Applications, 173" (1), 279-296.
- Casalino, G., & Gillis, N. (04 March 2017). Sequential Dimensionality Reduction for Extracting Localized Features. "Pattern Recognition, 63", 15-29.
Scientific congresses and symposiums/Paper published in a journal
- Cohen, J., & Gillis, N. (2017). A New Approach to Dictionary-Based Nonnegative Matrix Factorization. "European Signal Processing Conference".
- Cohen, J., Comon, P., & Gillis, N. (2017). Some theory on Non-negative Tucker Decomposition. "LVA/ICA: Latent Variable Analysis and Signal Separation".
Scientific congresses and symposiums/Poster
- Ang, M. S., & Gillis, N. (28 August 2017). "Log-determinant constrained Non-negative Matrix Factorization" [Poster presentation]. Autumn School: Optimization in Machine Learning and Data Science, Trier, Germany.
2016
Scientific journals/Article
- Vandaele, A., Gillis, N., Lei, Q., Zhong, K., & Dhillon, I. (01 November 2016). Efficient and Non-Convex Coordinate Descent for Symmetric Nonnegative Matrix Factorization. "IEEE Transactions on Signal Processing, 64" (21), 5571-5584.
- Vandaele, A., Gillis, N., Glineur, F., & Tuyttens, D. (01 June 2016). Heuristics for exact nonnegative matrix factorization. "Journal of Global Optimization, 65" (2), 369-400.
Scientific congresses and symposiums/Paper published in a journal
- Sobrie, O., Gillis, N., Mousseau, V., & Pirlot, M. (2016). "UTA-splines: additive value functions with polynomials" [Paper presentation]. 28th European Conference on Operational Research, Poznan, Poland.
2015
Scientific journals/Book review
- Mahmoudi, S., Benjelloun, M., Vankerkem, M., Libert, G., Gillis, N., & Tuyttens, D. (2015). Les projets IG : innovation permanente, réalisations diverses, un travail en équipe et des clients réels. "Polytech News", (52), 20-21.
- Larhmam, M., Mahmoudi, S., Benjelloun, M., & Gillis, N. (2015). La vision par ordinateur au service de l'oncologie. "Polytech News", (51), 13.
Scientific journals/Article
- Gillis, N., & Kumar, A. (15 October 2015). Exact and Heuristic Algorithms for Semi-Nonnegative Matrix Factorization. "SIAM Journal on Matrix Analysis and Applications, 36" (4), 1404-1424.
- Gillis, N., & Ma, W.-K. (21 May 2015). Enhancing Pure-Pixel Identification Performance via Preconditioning. "SIAM Journal on Imaging Sciences, 8" (2), 1161-1186.
- Gillis, N., Kuang, D., & Park, H. (01 April 2015). Hierarchical Clustering of Hyperspectral Images using Rank-Two Nonnegative Matrix Factorization. "IEEE Transactions on Geoscience and Remote Sensing, 53" (4), 2066-2078.
- Gillis, N., & Vavasis, S. A. (26 March 2015). Semidefinite Programming Based Preconditioning for More Robust Near-Separable Nonnegative Matrix Factorization. "SIAM Journal on Optimization, 25" (1), 677-698.
2014
Parts of books/Contribution to collective works
- Gillis, N. (2014). The Why and How of Nonnegative Matrix Factorization. In "Regularization, Optimization, Kernels, and Support Vector Machines". Chapman Hall / CRC Press.
Scientific journals/Article
- Pompili, F., Gillis, N., Absil, P.-A., & Glineur, F. (02 October 2014). Two Algorithms for Orthogonal Nonnegative Matrix Factorization with Application to Clustering. "Neurocomputing, 141", 15-25.
- Gillis, N. (24 June 2014). Successive Nonnegative Projection Algorithm for Robust Nonnegative Blind Source Separation. "SIAM Journal on Imaging Sciences, 7" (2), 1420-1450.
- Gillis, N., & Luce, R. (01 April 2014). Robust Near-Separable Nonnegative Matrix Factorization Using Linear Optimization. "Journal of Machine Learning Research, 15" (Apr), 1249-1280.
- Gillis, N., & Vavasis, S. A. (24 March 2014). Fast and Robust Recursive Algorithms for Separable Nonnegative Matrix Factorization. "IEEE Transactions on Pattern Analysis and Machine Intelligence, 36" (4), 698-714.
- Ma, W.-K., Bioucas-Dias, J. M., Chan, T.-H., Gillis, N., Gader, P., & Plaza, A. (01 January 2014). A Signal Processing Perspective on Hyperspectral Unmixing: Insights from Remote Sensing. "IEEE Signal Processing Magazine, 31" (1), 67-81.
- Gillis, N., & Glineur, F. (01 January 2014). A continuous characterization of the maximum-edge biclique problem. "Journal of Global Optimization, 58" (3), 439-464.
Scientific congresses and symposiums/Paper published in a journal
- Gillis, N. (2014). "Semidefinite Programming Based Preconditioning for More Robust Near-Separable Nonnegative Matrix Factorization" [Paper presentation]. international Traveling Workshop on Interactions between Sparse models and Technology (iTWIST), Namur, Belgium.
- Gillis, N. (2014). "Semidefinite Programming Based Preconditioning for More Robust Near-Separable Nonnegative Matrix Factorization" [Paper presentation]. Semidefinite Programming Based Preconditioning for More Robust Near-Separable Nonnegative Matrix Factorization, International Symposium on Mathematical Theory of Networks and Systems (MTNS), Netherlands.
- Gillis, N. (2014). "The Why and How of Nonnegative Matrix Factorization" [Paper presentation]. Belgian-Dutch Conference on Machine Learning (BENELEARN), Bruxelles, Belgium.
2013
Scientific journals/Article
- Gillis, N. (06 August 2013). Robustness Analysis of Hottopixx, a Linear Programming Model for Factoring Nonnegative Matrices. "SIAM Journal on Matrix Analysis and Applications, 34" (3), 1189-1212.
Scientific congresses and symposiums/Paper published in a journal
- Pompili, F., Gillis, N., Absil, P.-A., & Glineur, F. (2013). ONP-MF: An Orthogonal Nonnegative Matrix Factorization Algorithm with Application to Clustering. "European Symposium on Artificial Neural Networks".
2012
Scientific journals/Article
- Gillis, N. (01 December 2012). Sparse and Unique Nonnegative Matrix Factorization Through Data Preprocessing. "Journal of Machine Learning Research, 13" (2012), 3349-3386.
- Gillis, N., & Glineur, F. (13 April 2012). On the Geometric Interpretation of the Nonnegative Rank. "Linear Algebra and its Applications, 437" (11), 2685-2712.
- Gillis, N., & Plemmons, R. (09 April 2012). Sparse nonnegative matrix underapproximation and its application to hyperspectral image analysis. "Linear Algebra and its Applications, 438" (10), 3991-4007.
- Gillis, N., & Glineur, F. (01 January 2012). Accelerated Multiplicative Updates and Hierarchical ALS Algorithms for Nonnegative Matrix Factorization. "Neural Computation, 24" (4), 1085-1105.
Scientific congresses and symposiums/Paper published in a journal
- Gillis, N., Plemmons, R., & Zhang, Q. (2012). Priors in Sparse Recursive Decompositions of Hyperspectral Images. "Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery".
2011
Scientific journals/Article
- Gillis, N., & Glineur, F. (22 September 2011). A multilevel approach for nonnegative matrix factorization. "Journal of Computational and Applied Mathematics, 236" (7), 1708-1723.
- Gillis, N., & Glineur, F. (25 June 2011). Low-Rank Matrix Approximation with Weights or Missing Data is NP-hard. "SIAM Journal on Matrix Analysis and Applications, 32" (4), 1149-1165.
- Gillis, N., & Plemmons, R. (01 February 2011). Dimensionality Reduction, Classification, and Spectral Mixture Analysis using Nonnegative Underapproximation. "Optical Engineering, 50" (2), 027001.
Scientific congresses and symposiums/Paper published in a journal
- Gillis, N., & Plemmons, R. (2011). Sparse Nonnegative Matrix Underapproximation and its Application for Hyperspectral Image Analysis. "worskshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing".
2010
Scientific journals/Article
- Gillis, N., & Glineur, F. (01 April 2010). Using underapproximations for sparse nonnegative matrix factorization. "Pattern Recognition, 43" (4), 1676-1687.
Scientific congresses and symposiums/Paper published in a journal
- Gillis, N., & Plemmons, R. (2010). Dimensionality Reduction, Classification, and Spectral Mixture Analysis using Nonnegative Underapproximation. "Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery".
2009
Scientific congresses and symposiums/Paper published in a journal
- Berry, M., Gillis, N., & Glineur, F. (2009). Document Classification Using Nonnegative Matrix Factorization and Underapproximation. "IEEE International Symposium on Circuits and Systems".