![]() ![]() | Gillis, N., & Sharma, P. (2024). Recent Stability Issues for Linear Dynamical Systems. Springer. doi:10.1007/978-3-031-71326-2_1 ![]() |
![]() ![]() | Abdolali, M., Barbarino, G., & Gillis, N. (10 December 2024). Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization. SIAM Journal on Imaging Sciences, 17 (4), 2362-2391. doi:10.1137/24M1650600 ![]() |
![]() ![]() | Daglayan, H., Vary, S., Absil, O., Christiaens, V., Gillis, N., Jacques, L., Leplat, V., & Absil, P.-A. (13 November 2024). An alternating minimization algorithm with trajectory for direct exoplanet detection. The AMAT algorithm. Astronomy and Astrophysics, 692, 126. doi:10.1051/0004-6361/202451242 ![]() |
![]() ![]() | Lefebvre, J., Vandaele, A., & Gillis, N. (2024). Component-wise Squared Factorization. IEEE International Workshop on Machine Learning for Signal Processing. doi:10.1109/MLSP58920.2024.10734803 ![]() |
![]() ![]() | Dache, A., Vandaele, A., & Gillis, N. (2024). Orthogonal Symmetric Nonnegative Matrix Tri-Factorization. IEEE International Workshop on Machine Learning for Signal Processing. doi:10.1109/MLSP58920.2024.10734715 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | Gillis, N., & Van Dooren, P. (12 August 2024). Assigning Stationary Distributions to Sparse Stochastic Matrices. SIAM Journal on Matrix Analysis and Applications, 45 (4), 2184-2210. doi:10.1137/23M1627328 ![]() |
![]() ![]() | Vu thanh, O., & Gillis, N. (2024). Minimum-Volume Nonnegative Matrix Completion. European Signal Processing Conference. ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | 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. (07 February 2024). Characterizing matrices with eigenvalues in an LMI region: A dissipative-Hamiltonian approach. Linear and Multilinear Algebra, 72 (17), 2984-2999. doi:10.1080/03081087.2024.2304144 ![]() |
![]() ![]() | Daglayan, H., Vary, S., Leplat, V., Gillis, N., & Absil, P.-A. (2023). Direct Exoplanet Detection Using L1 Norm Low-Rank Approximation. BNAIC/BeNeLearn conference. ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | De handschutter, P., Gillis, N., & Blekic, W. (2023). Deep Symmetric Matrix Factorization. European Signal Processing Conference. ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | Vu thanh, O., & Gillis, N. (2023). Identifiability of Polytopic Matrix Factorization. European Signal Processing Conference. doi:10.23919/EUSIPCO58844.2023.10290012 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | Vu thanh, O., Nadisic, N., & Gillis, N. (05 September 2022). Randomized Successive Projection Algorithm [Paper presentation]. Colloque GRETSI. ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | 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., 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. ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | Gillis, N. (2020). Nonnegative Matrix Factorization. SIAM Publishing. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | 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 ![]() |
![]() ![]() | Le, T. K. H., Gillis, N., & Patrinos, P. (2020). Inertial Block Proximal Methods for Non-Convex Non-Smooth Optimization. International Conference on Machine Learning. ![]() |
![]() ![]() | 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). ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | Gillis, N. (2019). Successive Projection Algorithm Robust to Outliers. IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | Ang, M. S., Cohen, J. E., & Gillis, N. (2019). Accelerating Approximate Nonnegative Canonical Polyadic Decomposition using Extrapolation. GRETSI. ![]() |
![]() ![]() | Cohen, J. E., & Gillis, N. (10 July 2019). Identifiability of Complete Dictionary Learning. SIAM Journal on Mathematics of Data Science, 1 (3), 518-536. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | Gillis, N. (2019). Learning with Nonnegative Matrix Factorizations. SIAM News 25 (5). |
![]() ![]() | 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. ![]() |
![]() ![]() | Cohen, J. E., & Gillis, N. (2019). Nonnegative Low-Rank Sparse Component Analysis. 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. ![]() |
![]() ![]() | Gillis, N. (2019). Separable Simplex-Structured Matrix Factorization: Robustness of Combinatorial Approaches. IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | Ang, M. S., & Gillis, N. (2018). Volume regularized Non-negative Matrix Factorisations. Workshop on hyperspectral image and signal processing evolution in remote sensing. ![]() |
![]() ![]() | 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. doi:10.1287/moor.2017.0895 ![]() |
![]() ![]() | Gillis, N., & Sharma, P. (17 April 2018). Finding the nearest positive-real system. SIAM Journal on Numerical Analysis, 56 (2), 1022-1047. ![]() |
![]() ![]() | Cohen, J., & Gillis, N. (01 April 2018). Dictionary-based Tensor Canonical Polyadic Decomposition. IEEE Transactions on Signal Processing, 66 (7), 1876-1889. ![]() |
![]() ![]() | Gillis, N. (01 April 2018). Multiplicative Updates for Polynomial Root Finding. Information Processing Letters, 132, 14-18. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | Gillis, N., & Sharma, P. (01 November 2017). On computing the distance to stability for matrices using linear dissipative Hamiltonian systems. Automatica, 85, 113-121. ![]() |
![]() ![]() | 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. |
![]() ![]() | Cohen, J., & Gillis, N. (2017). A New Approach to Dictionary-Based Nonnegative Matrix Factorization. European Signal Processing Conference. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | Gillis, N. (01 March 2017). Introduction to Nonnegative Matrix Factorization. SIAG/OPT Views and News, 25 (1), 7-16. |
![]() ![]() | Cohen, J., Comon, P., & Gillis, N. (2017). Some theory on Non-negative Tucker Decomposition. LVA/ICA: Latent Variable Analysis and Signal Separation. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | 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. |
![]() ![]() | 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. ![]() |
![]() ![]() | 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. ![]() |
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. |
![]() ![]() | 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. ![]() |
Larhmam, M., Mahmoudi, S., Benjelloun, M., & Gillis, N. (2015). La vision par ordinateur au service de l'oncologie. Polytech News, (51), 13. |
Gillis, N. (2014). The Why and How of Nonnegative Matrix Factorization. In Regularization, Optimization, Kernels, and Support Vector Machines. Chapman Hall / CRC Press. |
![]() ![]() | 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. (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. (24 June 2014). Successive Nonnegative Projection Algorithm for Robust Nonnegative Blind Source Separation. SIAM Journal on Imaging Sciences, 7 (2), 1420-1450. ![]() |
![]() ![]() | Gillis, N. (2014). The Why and How of Nonnegative Matrix Factorization [Paper presentation]. Belgian-Dutch Conference on Machine Learning (BENELEARN), Bruxelles, Belgium. |
![]() ![]() | 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. doi:10.1109/TPAMI.2013.226 ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | 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., Plemmons, R., & Zhang, Q. (2012). Priors in Sparse Recursive Decompositions of Hyperspectral Images. Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery. ![]() |
![]() ![]() | Gillis, N., & Glineur, F. (01 January 2012). Accelerated Multiplicative Updates and Hierarchical ALS Algorithms for Nonnegative Matrix Factorization. Neural Computation, 24 (4), 1085-1105. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | 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. ![]() |
![]() ![]() | Gillis, N., & Glineur, F. (01 April 2010). Using underapproximations for sparse nonnegative matrix factorization. Pattern Recognition, 43 (4), 1676-1687. ![]() |
![]() ![]() | Gillis, N., & Plemmons, R. (2010). Dimensionality Reduction, Classification, and Spectral Mixture Analysis using Nonnegative Underapproximation. Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery. ![]() |
![]() ![]() | Berry, M., Gillis, N., & Glineur, F. (2009). Document Classification Using Nonnegative Matrix Factorization and Underapproximation. IEEE International Symposium on Circuits and Systems. ![]() |