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A Framework of Inertial Alternating Direction Method of Multipliers for Non-Convex Non-Smooth Optimization


Feb 10, 2021
Le Thi Khanh Hien, Duy Nhat Phan, Nicolas Gillis

* 25 pages 

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Provably robust blind source separation of linear-quadratic near-separable mixtures


Nov 24, 2020
Christophe Kervazo, Nicolas Gillis, Nicolas Dobigeon

* 23 pages + 24 pages of Appendix containing the proofs 

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A Homotopy-based Algorithm for Sparse Multiple Right-hand Sides Nonnegative Least Squares


Nov 24, 2020
Nicolas Nadisic, Arnaud Vandaele, Nicolas Gillis

* 20 pages + 7 pages supplementary material 

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Multiplicative Updates for NMF with $β$-Divergences under Disjoint Equality Constraints


Oct 30, 2020
Valentin Leplat, Nicolas Gillis, Jérôme Idier

* 23 pages + 6 pages of supplementary materials 

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An Inertial Block Majorization Minimization Framework for Nonsmooth Nonconvex Optimization


Oct 23, 2020
Le Thi Khanh Hien, Duy Nhat Phan, Nicolas Gillis

* 27 pages 

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Algorithms for Nonnegative Matrix Factorization with the Kullback-Leibler Divergence


Oct 05, 2020
Le Thi Khanh Hien, Nicolas Gillis

* 30 pages 

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Deep matrix factorizations


Oct 03, 2020
Pierre De Handschutter, Nicolas Gillis, Xavier Siebert


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Simplex-Structured Matrix Factorization: Sparsity-based Identifiability and Provably Correct Algorithms


Jul 22, 2020
Maryam Abdolali, Nicolas Gillis

* 38 pages 

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Nonconvex Optimization Tools for Large-Scale Matrix and Tensor Decomposition with Structured Factors


Jun 15, 2020
Xiao Fu, Nico Vervliet, Lieven De Lathauwer, Kejun Huang, Nicolas Gillis


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Sparse Separable Nonnegative Matrix Factorization


Jun 13, 2020
Nicolas Nadisic, Arnaud Vandaele, Jeremy E. Cohen, Nicolas Gillis

* 20 pages, accepted in ECML 2020 

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On a minimum enclosing ball of a collection of linear subspaces


Mar 27, 2020
Timothy Marrinan, P. -A. Absil, Nicolas Gillis

* 26 pages 

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Accelerating Block Coordinate Descent for Nonnegative Tensor Factorization


Jan 13, 2020
Andersen Man Shun Ang, Jeremy E. Cohen, Nicolas Gillis, Le Thi Khanh Hien

* 41 pages, 24 figures 

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Grouped sparse projection


Dec 11, 2019
Nicolas Gillis, Riyasat Ohib, Sergey Plis, Vamsi Potluru

* 21 pages, 12 figures; affiliation corrected, grant added 

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Near-Convex Archetypal Analysis


Oct 02, 2019
Pierre De Handschutter, Nicolas Gillis, Arnaud Vandaele, Xavier Siebert

* 10 pages, 3 figures 

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Successive Projection Algorithm Robust to Outliers


Aug 12, 2019
Nicolas Gillis

* 8 pages, 2 figures 

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Blind Audio Source Separation with Minimum-Volume Beta-Divergence NMF


Jul 04, 2019
Valentin Leplat, Nicolas Gillis, Man Shun Ang

* 24 pages, 10 figures, 3 tables 

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A Provably Correct and Robust Algorithm for Convolutive Nonnegative Matrix Factorization


Jun 17, 2019
Anthony Degleris, Nicolas Gillis

* 24 pages, 4 figures 

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Generalized Separable Nonnegative Matrix Factorization


May 30, 2019
Junjun Pan, Nicolas Gillis

* 27 pages, 12 figures, 4 tables 

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Inertial Block Mirror Descent Method for Non-Convex Non-Smooth Optimization


Mar 05, 2019
Le Thi Khanh Hien, Nicolas Gillis, Panagiotis Patrinos

* 30 pages, 4 figures. The code is available from https://doi.org/10.24433/CO.6813991.v1 

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Distributionally Robust and Multi-Objective Nonnegative Matrix Factorization


Jan 31, 2019
Nicolas Gillis, Le Thi Khanh Hien, Valentin Leplat, Vincent Y. F. Tan

* 20 pages, 6 figures, 3 tables 

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Identifiability of Low-Rank Sparse Component Analysis


Aug 27, 2018
Jérémy E. Cohen, Nicolas Gillis

* 15 pages, 2 figures 

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Accelerating Nonnegative Matrix Factorization Algorithms using Extrapolation


Jul 12, 2018
Andersen Man Shun Ang, Nicolas Gillis

* 19 pages, 6 figures, 6 tables. v2: few typos corrected, additional comparison with the extrapolated projected gradient method of Xu and Yin (SIAM J. on Imaging Sciences, 2013) 

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Improved SVD-based Initialization for Nonnegative Matrix Factorization using Low-Rank Correction


Jul 11, 2018
Atif Muhammad Syed, Sameer Qazi, Nicolas Gillis

* 12 pages, 1 figure, 5 tables, submitted to pattern recognition letters 

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Scalable and Robust Sparse Subspace Clustering Using Randomized Clustering and Multilayer Graphs


Feb 23, 2018
Maryam Abdolali, Nicolas Gillis, Mohammad Rahmati

* 25 pages, v2: typos corrected 

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Dictionary-based Tensor Canonical Polyadic Decomposition


Nov 08, 2017
Jérémy E. Cohen, Nicolas Gillis

* IEEE Trans. on Signal Processing 66 (7), pp. 1876-1889, 2018 

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Low-Rank Matrix Approximation in the Infinity Norm


May 31, 2017
Nicolas Gillis, Yaroslav Shitov

* 12 pages, 3 tables 

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On the Complexity of Robust PCA and $\ell_1$-norm Low-Rank Matrix Approximation


Apr 19, 2017
Nicolas Gillis, Stephen A. Vavasis

* 16 pages, some typos corrected 

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