Publications
See also Google scholar, Scopus, arXiv, ORCID, UMONS website with the PDFs.
Preprints
N. Gillis and S. Sicilia, "Minimum-norm solutions of the non-symmetric semidefinite Procrustes problem", June 2024. [arXiv] [code]
M. Abdolali, G. Barbarino, and N. Gillis, "Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization", March 2024. [arXiv] [code]
L. T. K. Hien, V. Leplat, and N Gillis, "Block Majorization Minimization with Extrapolation and Application to β-NMF", January 2024. [arXiv] [code]
N. Gillis and P. Van Dooren, "Assigning Stationary Distributions to Sparse Stochastic Matrices", December 2023. [arXiv] [code]
Book
N. Gillis, "Nonnegative Matrix Factorization", SIAM, Philadelphia, 2020. [link]
Book Chapters, Newsletters
D. Brie, N. Gillis and S. Moussaoui, "Non-negative Matrix Factorization", Chapter 3 in Source Separation in Physical-Chemical Sensing, Editors: C. Jutten, L. Tomazeli Duarte, S. Moussaoui, pp. 103-149, 2024. [doi]
N. Gillis and P. Sharma, "Solving matrix nearness problems via Hamiltonian systems, matrix factorization, and optimization", this book chapter will be published in the C.I.M.E. foundation subseries, following the CIME summer school on "Matrix nearness problems and eigenvalue optimization". [pdf] [arXiv]
N. Gillis, "Learning with Nonnegative Matrix Factorizations", SIAM News 52 (5), pp. 1-3, 2019. [link] [pdf]
N. Gillis, "Introduction to Nonnegative Matrix Factorization", SIAG/OPT Views and News 25 (1), pp. 7-16, 2017. [pdf] [arXiv]
N. Gillis, "The Why and How of Nonnegative Matrix Factorization", In: "Regularization, Optimization, Kernels, and Support Vector Machines", J.A.K. Suykens, M. Signoretto and A. Argyriou (eds), Chapman & Hall/CRC, Machine Learning and Pattern Recognition Series, pp. 257-291, 2014. [arXiv]
Journal Papers
N Gillis and R. Luce, "Checking the Sufficiently Scattered Condition using a Global Non-Convex Optimization Software", IEEE Signal Processing Letters 31, pp. 1610-1614, 2024. [doi] [arXiv] [code]
V. Leplat, L. T. K. Hien, A. Onwunta and N Gillis, "Deep Nonnegative Matrix Factorization with Beta Divergences", Accepted in Neural Computation, 2024. [arXiv] [code]
N. Choudhary, N. Gillis and P. Sharma, "Characterizing matrices with eigenvalues in an LMI region: A dissipative-Hamiltonian approach", Linear and Multilinear Algebra, 2024. [doi] [Matlab] [arXiv]
N. Nadisic, N. Gillis and C. Kervazo, "Smoothed Separable Nonnegative Matrix Factorization", Linear Algebra and Its Applications 676, pp. 174-204, 2023. [doi] [Matlab] [arXiv]
O. Vu Thanh, N. Gillis and F. Lecron, "Bounded Simplex-Structured Matrix Factorization: Algorithms, Identifiability and Applications", IEEE Trans. on Signal Processing 71, pp. 2434-2447, 2023. [doi] [Matlab] [Julia] [arXiv]
C. Hautecoeur, L. De Lathauwer, N. Gillis and F. Glineur, "Least-squares methods for nonnegative matrix factorization over rational functions", IEEE Trans. on Signal Processing 71, pp. 1712-1724, 2023. [doi] [code] [arXiv]
V. Leplat, Y. Nesterov, N. Gillis and F. Glineur, "Conic-Optimization Based Algorithms for Nonnegative Matrix Factorization", Optimization Methods and Software 38 (4), pp. 837-859, 2023. [doi] [Matlab] [arXiv]
L. T. K. Hien, D.N. Phan and N. Gillis, "An Inertial Block Majorization Minimization Framework for Nonsmooth Nonconvex Optimization", Journal of Machine Learning Research 24 (18), pp. 1-41, 2023. [Matlab] [Slides] [arXiv] [Website]
N. Gillis and R. Rajkó, "Partial Identifiability for Nonnegative Matrix Factorization", SIAM J. on Matrix Analysis and Applications 44 (1), pp. 27-52, 2023. [doi] [arXiv] [Matlab]
P. De Handschutter and N. Gillis, "A consistent and flexible framework for deep matrix factorizations", Pattern Recognition 134, 109102, 2023. [doi] [arXiv] [Matlab]
Journal papers before 2023
R. Ohib, N. Gillis, N. Dalmasso, S. Shah, V. Potluru and S. Plis, "Explicit Group Sparse Projection with Applications to Deep Learning and NMF", Trans. on Machine Learning Research, 2022. [OpenReview] [Matlab] [Python]
M. Abdolali and N. Gillis, "Revisiting data augmentation for subspace clustering", Knowledge-Based Systems 258, 109974, 2022. [doi] [arXiv] [Matlab]
N. Nadisic, J.E. Cohen, A. Vandaele, and N. Gillis, "Matrix-wise ℓ0-constrained Sparse Nonnegative Least Squares", Machine Learning 111, pp. 4453-4495, 2022. [doi] [arXiv] [Matlab]
L. T. K. Hien, D.N. Phan and N. Gillis, "Inertial alternating direction method of multipliers for non-convex non-smooth optimization", Computational Optimization and Applications 83, pp. 247-285, 2022. [doi] [arXiv] [Matlab]
M. K. Baghel, N. Gillis and P. Sharma, "On the non-symmetric semidefinite Procrustes problem", Linear Algebra and its Applications 648, pp. 133-159, 2022. [doi] [arXiv] [Matlab]
V. Leplat, N. Gillis and C. Févotte, "Multi-Resolution Beta-Divergence NMF for Blind Spectral Unmixing", Signal Processing 193, 108428, 2022. [doi] [arXiv] [Matlab]
L. T. K. Hien, D.N. Phan, N. Gillis, M. Ahookhosh, and P. Patrinos, "Block Alternating Bregman Majorization Minimization with Extrapolation", SIAM J. on Mathematics of Data Science 4 (1), pp. 1-25, 2022. [doi] [arXiv] [Matlab]
N. Gillis, L. T. K. Hien, V. Leplat and V. Y. F. Tan, "Distributionally Robust and Multi-Objective Nonnegative Matrix Factorization", IEEE Trans. on Pattern Analysis and Machine Intelligence 44 (8), pp. 4052-4064, 2022. [doi] [arXiv] [Matlab] [pdf]
M. Abdolali and N. Gillis, "Beyond Linear Subspace Clustering: A Comparative Study of Nonlinear Manifold Clustering Algorithms", Computer Science Review 42, 100435, 2021. [doi] [arXiv] [Matlab]
C. Kervazo, N. Gillis and N. Dobigeon, "Provably robust blind source separation of linear-quadratic near-separable mixtures", SIAM J. on Imaging Sciences 14 (4), pp. 1848-1889, 2021. [doi] [arXiv] [Matlab]
S.M. Atif, N. Gillis, S. Qazi and I. Naseem, "Structured Nonnegative Matrix Factorization for Traffic Flow Estimation of Large Cloud Networks", Computer Networks 201, 108564, 2021. [doi] [arXiv]
P. De Handschutter, N. Gillis and X. Siebert, "A survey on deep matrix factorizations", Computer Science Review 42, 100423, 2021. [doi] [arXiv] [Matlab] [pdf]
M. K. Baghel, N. Gillis and P. Sharma, "Characterization of the dissipative mappings and their application to perturbations of dissipative-Hamiltonian systems", Numerical Linear Algebra with Applications 28 (6), e2402, 2021. [doi] [arXiv] [pdf]
M. Ahookhosh, L. T. K. Hien, N. Gillis and P. Patrinos, "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, pp. 234–258, 2021. [doi] [arXiv] [pdf]
M. Ahookhosh, L. T. K. Hien, N. Gillis and P. Patrinos, "Multi-block Bregman proximal alternating linearized minimization and its application to sparse orthogonal nonnegative matrix factorization", Computational Optimization and Applications 79, pp. 681-715, 2021. [doi] [arXiv] [Matlab] [pdf]
L. T. K. Hien and N. Gillis, "Algorithms for Nonnegative Matrix Factorization with the Kullback-Leibler Divergence", Journal of Scientific Computing 87, 93, 2021. [doi] [arXiv] [Matlab] [pdf]
A.M.S. Ang, J.E. Cohen, N. Gillis, L. T. K. Hien, "Accelerating Block Coordinate Descent for Nonnegative Tensor Factorization", Numerical Linear Algebra with Applications 28 (5), e2373, 2021. [doi] [arXiv] [Matlab] [pdf]
M. Abdolali and N. Gillis, "Simplex-Structured Matrix Factorization: Sparsity-based Identifiability and Provably Correct Algorithms", SIAM J. on Mathematics of Data Science 3 (2), pp. 593-623, 2021. [doi] [arXiv] [Matlab] [pdf]
V. Leplat, N. Gillis and J. Idier, "Multiplicative Updates for NMF with β-Divergences under Disjoint Equality Constraints", SIAM J. on Matrix Analysis and Applications 42 (2), 730-752, 2021. [doi] [Matlab] An error is present in the journal version, the [arXiv] version provides a correction.
T. Marrinan, P.-A. Absil and N. Gillis, "On a minimum enclosing ball of a collection of linear subspaces", Linear Algebra and its Applications 625, pp. 248-278, 2021. [doi] [arXiv] [Matlab] [pdf]
F. Moutier, A. Vandaele and N. Gillis, "Off-diagonal Symmetric Nonnegative Matrix Factorization", Numerical Algorithms 88 (2), pp. 939-963, 2021. [doi] [arXiv] [Matlab] [pdf]
J. Dewez, N. Gillis and F. Glineur, "A geometric lower bound on the extension complexity of polytopes based on the f-vector", Discrete Applied Mathematics 303, pp. 22-38, 2021. [doi] [pdf]
N. Gillis and P. Sharma, "Minimal-norm static feedbacks using dissipative Hamiltonian matrices", Linear Algebra and its Applications 623, pp. 258-281, Special issue in honor of Paul Van Dooren, 2021. [doi] [arXiv] [pdf] [Matlab]
J. Pan and N. Gillis, "Generalized Separable Nonnegative Matrix Factorization", IEEE Trans. on Pattern Analysis and Machine Intelligence 43 (5), pp. 1546-1561, 2021. [doi] [arXiv] [pdf] [Matlab]
X. Fu, N. Vervliet, L. De Lathauwer, K. Huang, and N. Gillis, "Computing Large-Scale Matrix and Tensor Decomposition with Structured Factors: A Unified Nonconvex Optimization Perspective", IEEE Signal Processing Magazine 37 (5), pp. 78-94, 2020. [doi] [arXiv] [pdf]
K. Ghazli, N. Gillis, M. Moulaï , "Optimizing over the properly efficient set of convex multi-objective optimization problems", Annals of Operations Research 295, pp. 575-604, 2020. [doi] [pdf]
V. Leplat, N. Gillis and A.M.S. Ang, "Blind Audio Source Separation with Minimum-Volume Beta-Divergence NMF", IEEE Transactions on Signal Processing 68, pp. 3400-3410, 2020. [doi] [arXiv] [Matlab] [Youtube - Decomposition of El Doudou song] [pdf]
A. Degleris and N. Gillis, "A Provably Correct and Robust Algorithm for Convolutive Nonnegative Matrix Factorization", IEEE Transactions on Signal Processing 68 (1), pp. 2499-2512, 2020. [doi] [arXiv] [Matlab] [pdf]
N. Choudhary, N. Gillis and P. Sharma, "On approximating the nearest Ω-stable matrix", Numerical Linear Algebra with Applications 27 (3), e2282, 2020. [doi] [arXiv] [pdf] [Matlab]
P. De Handschutter, N. Gillis, A. Vandaele and X. Siebert, "Near-Convex Archetypal Analysis", IEEE Signal Processing Letters 27 (1), pp. 81-85, 2020. [doi] [arXiv] [pdf] [Matlab]
N. Gillis, M. Karow and P. Sharma, "A note on approximating the nearest stable discrete-time descriptor system with fixed rank", Applied Numerical Mathematics 148, pp. 131-139, 2020. [doi] [arXiv] [pdf] [Matlab]
J.E. Cohen and N. Gillis, "Identifiability of Complete Dictionary Learning", SIAM J. on Mathematics of Data Science 1 (3), pp. 518-536, 2019. [doi] [arXiv] [pdf] [Matlab]
N. Gillis and Y. Shitov, "Low-Rank Matrix Approximation in the Infinity Norm", Linear Algebra and its Applications 581, pp. 367-382, 2019. [doi] [arXiv] [pdf] [Matlab]
A.M.S. Ang and N. Gillis, "Algorithms and Comparisons of Nonnegative Matrix Factorization with Volume Regularization for Hyperspectral Unmixing", IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing 12 (12), pp. 4843-4853, 2019. [doi] [arXiv] [pdf] [Matlab]
M. Abdolali, N. Gillis and M. Rahmati, "Scalable and Robust Sparse Subspace Clustering Using Randomized Clustering and Multilayer Graphs", Signal Processing 163, pp. 166-180, 2019. [doi] [arXiv] [pdf] [Matlab]
F. Esposito, N. Gillis and N. Del Buono, "Orthogonal joint sparse NMF for microarray data analysis", Journal of Mathematical Biology 79 (1), pp. 223-247, 2019. [doi] [pdf]
N. Gillis, M. Karow and P. Sharma, "Approximating the nearest stable discrete-time system", Linear Algebra and its Applications 573, pp. 37-53, 2019. [doi] [arXiv] [pdf] [Matlab]
S.M. Atif, S. Qazi and N. Gillis, "Improved SVD-based Initialization for Nonnegative Matrix Factorization using Low-Rank Correction", Pattern Recognition Letters 122, pp. 53-59, 2019. [doi] [arXiv] [pdf] [Matlab]
A.M.S. Ang and N. Gillis, "Accelerating Nonnegative Matrix Factorization Algorithms using Extrapolation", Neural Computation 31 (2), pp. 417-439, 2019. [doi] [arXiv] [pdf] [Matlab]
N. Gillis and P. Sharma, "Finding the nearest positive-real system", SIAM J. on Numerical Analysis 56 (2), pp. 1022-1047, 2018. [doi] [arXiv] [pdf] [Matlab]
A. Vandaele, F. Glineur and N. Gillis, "Algorithms for Positive Semidefinite Factorization", Computational Optimization and Applications 71 (1), pp. 193-219, 2018. [doi] [arXiv] [pdf] [code]
N. Gillis, V. Mehrmann and P. Sharma, "Computing nearest stable matrix pairs", Numerical Linear Algebra with Applications 25 (5), e2153, 2018. [doi] [arXiv] [pdf] [Matlab]
J.E. Cohen and N. Gillis, "Spectral Unmixing with Multiple Dictionaries", IEEE Geoscience and Remote Sensing Letters 15 (2), pp. 187-191, 2018. [doi] [arXiv] [pdf] [code]
N. Gillis, "Multiplicative Updates for Polynomial Root Finding", Information Processing Letters 132, pp. 14-18, 2018. [doi] [arXiv] [pdf] [Matlab]
J.E. Cohen and N. Gillis, "Dictionary-based Tensor Canonical Polyadic Decomposition", IEEE Trans. on Signal Processing 66 (7), pp. 1876-1889, 2018. [doi] [arXiv] [pdf] [code]
N. Gillis and P. Sharma, "A semi-analytical approach for the positive semidefinite Procrustes problem", Linear Algebra and its Applications 540, pp. 112-137, 2018. [doi] [arXiv] [pdf] [Matlab]
N. Gillis and R. Luce, "A Fast Gradient Method for Nonnegative Sparse Regression with Self Dictionary", IEEE Trans. on Image Processing 27 (1), pp. 24-37, 2018. [doi] [arXiv] [pdf] [Matlab]
N. Gillis and S.A. Vavasis, "On the Complexity of Robust PCA and ℓ1-Norm Low-Rank Matrix Approximation", Mathematics of Operations Research 43 (4), pp. 1072-1084, 2018. [arXiv] [Matlab] [pdf] [doi]
N. Gillis and P. Sharma, "On computing the distance to stability for matrices using linear dissipative Hamiltonian systems", Automatica 85, pp. 113-121, 2017. [doi] [arXiv] [pdf] [Matlab]
O. Sobrie, N. Gillis, V. Mousseau and M. Pirlot, "UTA-poly and UTA-splines: additive value functions with polynomial marginals", European Journal of Operational Research 264 (2), pp. 405-418, 2018. [doi] [arXiv] [pdf] [Matlab]
A. Vandaele, N. Gillis and F. Glineur, "On the Linear Extension Complexity of Regular n-gons", Linear Algebra and its Applications 521, pp. 217-239, 2017. [doi] [arXiv] [pdf] [website]
M.T. Belachew and N. Gillis, "Solving the Maximum Clique Problem with Symmetric Rank-One Nonnegative Matrix Approximation", Journal of Optimization Theory and Applications 173 (1), pp. 279-296, 2017. [doi] [arXiv] [pdf] [Matlab]
G. Casalino and N. Gillis, "Sequential Dimensionality Reduction for Extracting Localized Features", Pattern Recoginition 63, pp. 15-29, 2017. [doi] [arXiv] [pdf] [Matlab]
A. Vandaele, N. Gillis, Q. Lei, K. Zhong and I.S. Dhillon, "Efficient and Non-Convex Coordinate Descent for Symmetric Nonnegative Matrix Factorization", IEEE Trans. on Signal Processing 64 (21), pp. 5571-5584, 2016. [doi] [arXiv] [pdf] [Matlab]
A. Vandaele, N. Gillis, F. Glineur and D. Tuyttens, "Heuristics for Exact Nonnegative Matrix Factorization", Journal of Global Optimization 65 (2), pp 369-400, 2016. [doi] [arXiv] [pdf] [website]
N. Gillis and A. Kumar, "Exact and Heuristic Algorithms for Semi-Nonnegative Matrix Factorization", SIAM J. on Matrix Analysis and Applications 36 (4), pp. 1404-1424, 2015. [doi] [arXiv] [Matlab] [Slides] [pdf]
N. Gillis and W.-K. Ma, "Enhancing Pure-Pixel Identification Performance via Preconditioning", SIAM J. on Imaging Sciences 8 (2), pp. 1161-1186, 2015. [arXiv] [Matlab] [Slides] [doi] [pdf]
N. Gillis and S.A. Vavasis, "Semidefinite Programming Based Preconditioning for More Robust Near-Separable Nonnegative Matrix Factorization", SIAM J. on Optimization 25 (1), pp. 677-698, 2015. [arXiv] [Matlab] [Slides] [doi] [pdf]
N. Gillis, D. Kuang and H. Park, "Hierarchical Clustering of Hyperspectral Images using Rank-Two Nonnegative Matrix Factorization", IEEE Trans. on Geoscience and Remote Sensing 53 (4), pp. 2066-2078, 2015. [arXiv] [Matlab] [pdf] [doi]
N. Gillis, "Successive Nonnegative Projection Algorithm for Robust Nonnegative Blind Source Separation", SIAM J. on Imaging Sciences 7 (2), pp. 1420-1450, 2014. [doi] [arXiv] [pdf] [Matlab]
N. Gillis and R. Luce, "Robust Near-Separable Nonnegative Matrix Factorization Using Linear Optimization", Journal of Machine Learning Research 15 (Apr), pp. 1249-1280, 2014. [pdf] [arXiv] [Matlab] [Slides] [Video]
F. Pompili, N. Gillis, P.-A. Absil and F. Glineur, "Two Algorithms for Orthogonal Nonnegative Matrix Factorization with Application to Clustering", Neurocomputing 141, pp. 15-25, 2014. [doi] [arXiv] [pdf][code] [Slides]
N. Gillis and S.A. Vavasis, "Fast and Robust Recursive Algorithms for Separable Nonnegative Matrix Factorization", IEEE Trans. on Pattern Analysis and Machine Intelligence 36 (4), pp. 698-714, 2014. [pdf] [doi] [arXiv] [Matlab] [Slides]
W.-K. Ma, J.M. Bioucas-Dias, T.-H. Chan, N. Gillis, P. Gader, A. Plaza, A. Ambikapathi and C.-Y. Chi, "A Signal Processing Perspective on Hyperspectral Unmixing: Insights from Remote Sensing", IEEE Signal Processing Magazine 31 (1), pp. 67-81, 2014. Special Issue on Signal and Image Processing in Hyperspectral Remote Sensing. [doi] [pdf]
N. Gillis, "Robustness Analysis of Hottopixx, a Linear Programming Model for Factoring Nonnegative Matrices", SIAM J. on Matrix Analysis and Applications 34 (3), pp. 1189-1212, 2013. [doi] [arXiv] [Matlab] [pdf]
N. Gillis, "Sparse and Unique Nonnegative Matrix Factorization Through Data Preprocessing", Journal of Machine Learning Research 13 (Nov), pp. 3349-3386, 2012. [pdf] [arXiv] [Matlab] [Slides]
N. Gillis and F. Glineur, "A Continuous Characterization of the Maximum-Edge Biclique Problem”, Journal of Global Optimization 58 (3), pp. 439-464, 2014. [doi] [pdf] [Matlab]
N. Gillis and F. Glineur, "On the Geometric Interpretation of the Nonnegative Rank", Linear Algebra and its Applications 437 (11), pp. 2685-2712, 2012. [doi] [arXiv] [pdf] [Matlab] [Slides]
N. Gillis and F. Glineur, "Accelerated Multiplicative Updates and Hierarchical ALS Algorithms for Nonnegative Matrix Factorization", Neural Computation 24 (4), pp. 1085-1105, 2012. [doi] [arXiv] [pdf] [Matlab]
N. Gillis and F. Glineur, "A Multilevel Approach for Nonnegative Matrix Factorization", Journal of Computational and Applied Mathematics 236 (7), pp. 1708-1723, 2012. [doi] [arXiv] [pdf]
N. Gillis and R.J. Plemmons, "Sparse Nonnegative Matrix Underapproximation and its Application for Hyperspectral Image Analysis", Linear Algebra and its Applications 438 (10), pp. 3991-4007, 2013. [doi] [pdf] [Matlab] [Slides]
N. Gillis and F. Glineur, "Low-Rank Matrix Approximation with Weights or Missing Data is NP-hard", SIAM J. on Matrix Analysis and Applications 32 (4), pp. 1149-1165, 2011. [doi] [arXiv] [Slides] [pdf]
N. Gillis and R.J. Plemmons, "Dimensionality Reduction, Classification, and Spectral Mixture Analysis using Nonnegative Underapproximation", Optical Engineering 50, 027001, February 2011. [doi] [pdf] [Matlab] [Slides]
N. Gillis and F. Glineur, "Using Underapproximations for Sparse Nonnegative Matrix Factorization", Pattern Recognition 43 (4), pp. 1676-1687, 2010. [doi][arXiv] [pdf] [Matlab]
Conference Papers
A. Awari, H. Nguyen, S. Wertz, A. Vandaele, and N. Gillis, "Coordinate Descent Algorithm for Nonlinear Matrix Decomposition with the ReLU function", EUSIPCO 2024, 26-30 August2024, Lyon. [pdf] [code]
O. Vu Thanh and N. Gillis, "Minimum-Volume Nonnegative Matrix Completion", EUSIPCO 2024, 26-30 August2024, Lyon. [pdf] [code]
L. Loconte, A.M. Sladek, S. Mengel, M. Trapp, A. Solin, N. Gillis and A. Vergari, "Subtractive Mixture Models via Squaring: Representation and Learning", ICLR 2024, Spotlight presentation (top 5%). [arXiv] [video] [code] [OpenReview]
H. Daglayan, S. Vary, V. Leplat, N. Gillis and P.-A. Absil, "Direct Exoplanet Detection Using L1 Norm Low-Rank Approximation", BNAIC/BeNeLearn 2023. [code] [arXiv]
L. Loconte, S. Mengel, N. Gillis and A. Vergari, "Negative Mixture Models via Squaring: Representation and Learning", UAI Worshop on Tractable Probabilistic Modeling (TPM 2023), Pittsburgh, 4 August 2023. [pdf] [poster] [video]
C. Kolomvakis, A. Vandaele and N. Gillis, "Algorithms for Boolean Matrix Factorization using Integer Programming", MLSP 2023, 17-20 September, 2023, Rome. [arXiv] [code] [doi] *Best student paper award* [photo]
G. Seraghiti, A. Awari, A. Vandaele, M. Porcelli and N. Gillis, "Accelerated Algorithms for Nonlinear Matrix Decomposition with the ReLU function", MLSP 2023, 17-20 September, 2023, Rome. [arXiv] [code] [doi]
O. Vu Thanh and N. Gillis, "Identifiability of Polytopic Matrix Factorization", EUSIPCO 2023, 4-8 September 2023, Helsinki. [pdf]
P. De Handschutter, N. Gillis and W. Blekic, "Deep Symmetric Matrix Factorization", EUSIPCO 2023, 4-8 September 2023, Helsinki. [pdf] [code]
A. Dache, N. Nadisic, A. Vandaele, N. Gillis, "Exact and Heuristic Methods for Simultaneous Sparse Coding", EUSIPCO 2023, 4-8 September 2023, Helsinki. [pdf] [code]
C. Kolomvakis and N. Gillis, "Robust Binary Component Decompositions", ICASSP 2023, 4-10 June 2023, Rhodes, Greece. [pdf] [code]
Conference papers before 2023
O. Vu Thanh, N. Nadisic, N. Gillis, "Randomized Successive Projection Algorithm", GRETSI 2022, 6-9 September 2022, Nancy. [Link] [Matlab]
M. Abdolali and N. Gillis, "Subspace Clustering Using Unsupervised Data Augmentation", ICASSP 2022, 22-27 May 2022, Singapore. [doi] [Link] [Matlab]
O. Vu Thanh, N. Gillis and F. Lecron, "Bounded Simplex-Structured Matrix Factorization", ICASSP 2022, 22-27 May 2022, Singapore. [doi] [Link] [Matlab]
N. Nadisic, A. Vandaele, N. Gillis and J.E. Cohen, "Exact biobjective k-sparse nonnegative least squares", EUSIPCO 2021, 23-27 August, Dublin. [doi] [pdf]
P. De Handschutter and N. Gillis, "Deep orthogonal matrix factorization as a hierarchical clustering technique", EUSIPCO 2021, 23-27 August, Dublin. [doi] [pdf] [Matlab]
O. Vu Thanh, A.M.S. Ang and N. Gillis, L. T. K. Hien, "Inertial Majorization-Minimization Algorithm for Minimum-Volume NMF", EUSIPCO 2021, 23-27 August, Dublin. [doi] [pdf]
A.M.S. Ang, V. Leplat, and N. Gillis, "Fast algorithm for complex-NMF with application to source separation", EUSIPCO 2021, 23-27 August, Dublin. [doi] [pdf]
N. Gillis, R. Ohib, S. Plis and V. Potluru, "Grouped Sparse Projection for Deep Learning", ICLR Worshop Hardware Aware Efficient Training (HAET), 2021. [arXiv] [Matlab] [Python]
A.M.S. Ang, N. Gillis, A. Vandaele and H. De Sterck, "Nonnegative Unimodal Matrix Factorization", ICASSP 2021, 6-11 June, Toronto. [doi] [pdf] [video]
L. T. K. Hien, N. Gillis and P. Patrinos, "Inertial Block Proximal Methods for Non-Convex Non-Smooth Optimization", ICML 2020. [link] [arXiv] [Matlab]
N. Nadisic, A. Vandaele, J.E. Cohen and N. Gillis, "Sparse Separable Nonnegative Matrix Factorization", ECML-PKDD 2020. [doi] [arXiv] [code] [pdf] [video]
C. Kervazo, N. Gillis, and N. Dobigeon, "Successive Nonnegative Projection Algorithm for Linear Quadratic Mixtures", EUSIPCO 2020. [doi] [pdf]
T. Marrinan and N. Gillis, "Hyperspectral Unmixing with Rare Endmembers via Minimax Nonnegative Matrix Factorization", EUSIPCO 2020. [doi] [pdf] [Matlab]
N. Nadisic, A. Vandaele, N. Gillis and J.E. Cohen, "Exact Sparse Nonnegative Least Squares", ICASSP 2020, May 4-8, 2020, Barcelona. [pdf] [Code] [video]
A.M.S. Ang, J.E. Cohen, L. T. K. Hien and N. Gillis, "Extrapolated Alternating Algorithms for Approximate Canonical Polyadic Decomposition", ICASSP 2020, May 4-8, 2020, Barcelona. [doi] [pdf] [Code] [video]
N. Gillis, "Successive Projection Algorithm Robust to Outliers", CAMSAP 2019, December 15-18 2019, Guadeloupe. [doi] [arXiv] [Matlab]
J.E. Cohen, N. Gillis, "Nonnegative Low-Rank Sparse Component Analysis", ICASSP 2019, May 12-17, 2019, Brighton, UK. [doi] [pdf] [Matlab]
N. Gillis, "Separable Simplex-Structured Matrix Factorization: Robustness of Combinatorial Approaches", ICASSP 2019, May 12-17, 2019, Brighton, UK. [doi] [pdf]
V. Leplat, A.M.S. Ang, N. Gillis, "Minimum-Volume Rank-Deficient Nonnegative Matrix Factorizations", ICASSP 2019, May 12-17, 2019, Brighton, UK. [doi] [pdf] [Matlab]
A.M.S. Ang and N. Gillis, "Volume regularized Non-negative Matrix Factorizations", IEEE WHISPERS 2018, Sep. 23-26, 2018, Amsterdam, Netherlands. [pdf]
J.E. Cohen, N. Gillis, "A New Approach to Dictionary-Based Nonnegative Matrix Factorization", 25th European Signal Processing Conference (EUSIPCO), Kos Island (Greece), pp. 523-527, 28 Aug.-2 Sept., 2017. [pdf] [code]
J.E. Cohen, P. Comon, N. Gillis, "Some theory on Non-negative Tucker Decomposition", 13th Int. Conf. on Latent Variable Analysis and Signal Separation (LVA-ICA), Grenoble, 21-23 February 2017. [doi] [pdf]
N. Gillis and W.-K. Ma, "Enhancing Pure-Pixel Identification Performance via Preconditioning", Worskshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS), Lausanne, June 2014. [doi] [arXiv] [Matlab] [Slides]
F. Pompili, N. Gillis, P.-A. Absil and F. Glineur, "ONP-MF: An Orthogonal Nonnegative Matrix Factorization Algorithm with Application to Clustering", Proceedings of the 21th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2013), Bruges, Belgium, 24-26 April 2013. [arXiv] [Matlab]
N. Gillis, R.J. Plemmons and Q. Zhang, "Priors in Sparse Recursive Decompositions of Hyperspectral Images", in Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XVIII, edited by Sylvia S. Shen, Paul E. Lewis, Proceedings of SPIE Vol. 8390 (2012). [doi] [pdf] [Matlab]
N. Gillis and R.J. Plemmons, "Sparse Nonnegative Matrix Underapproximation and its Application for Hyperspectral Image Analysis", third worskshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing, Lisbon, June 2011. [doi] [pdf] [Matlab] [Slides]
N. Gillis and R.J. Plemmons, "Dimensionality Reduction, Classification, and Spectral Mixture Analysis using Nonnegative Underapproximation", in Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XVI, edited by Sylvia S. Shen, Paul E. Lewis, Proceedings of SPIE Vol. 7695 (SPIE, Bellingham, WA, 2010) 76951A. Best paper award. [doi]
M.W. Berry, N. Gillis and F. Glineur, "Document Classification Using Nonnegative Matrix Factorization and Underapproximation", in Proc. IEEE Int. Symp. on Circuits and Systems (ISCAS), 2009. [doi] [pdf]
Unpublished
N. Gillis and F. Glineur, "Nonnegative Factorization and the Maximum Edge Biclique Problem", CORE Discussion Paper 2008/64. [arXiv] (Most material reused for "A Continuous Characterization of the Maximum-Edge Biclique Problem”; see above.)
Thesis
N. Gillis, "Nonnegative Matrix Factorization: Complexity, Algorithms and Applications", PhD thesis, Université catholique de Louvain, February 2011. [pdf][Slides] Supervisor: François Glineur. (ICTEAM Thesis Award 2012, Householder award 2014)
N. Gillis, "Approximation et sous-approximation de matrices par factorisation positive: algorithmes, complexité et applications", MSc thesis, June 2007. [pdf] Supervisor: François Glineur. (SOGESCI-B.V.W.B Thesis Award 2008)