Nicolas Gillis

Orcid: 0000-0001-6423-6897

According to our database1, Nicolas Gillis authored at least 127 papers between 2009 and 2024.

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Bibliography

2024
Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization.
CoRR, 2024

Checking the Sufficiently Scattered Condition using a Global Non-Convex Optimization Software.
CoRR, 2024

Block Majorization Minimization with Extrapolation and Application to β-NMF.
CoRR, 2024

2023
Conic optimization-based algorithms for nonnegative matrix factorization.
Optim. Methods Softw., July, 2023

Partial Identifiability for Nonnegative Matrix Factorization.
SIAM J. Matrix Anal. Appl., March, 2023

Bounded Simplex-Structured Matrix Factorization: Algorithms, Identifiability and Applications.
IEEE Trans. Signal Process., 2023

Least-Squares Methods for Nonnegative Matrix Factorization Over Rational Functions.
IEEE Trans. Signal Process., 2023

A consistent and flexible framework for deep matrix factorizations.
Pattern Recognit., 2023

An Inertial Block Majorization Minimization Framework for Nonsmooth Nonconvex Optimization.
J. Mach. Learn. Res., 2023

Assigning Stationary Distributions to Sparse Stochastic Matrices.
CoRR, 2023

Subtractive Mixture Models via Squaring: Representation and Learning.
CoRR, 2023

Deep Nonnegative Matrix Factorization with Beta Divergences.
CoRR, 2023

Accelerated Algorithms For Nonlinear Matrix Decomposition With The Relu Function.
Proceedings of the 33rd IEEE International Workshop on Machine Learning for Signal Processing, 2023

Algorithms for Boolean Matrix Factorization using Integer Programming.
Proceedings of the 33rd IEEE International Workshop on Machine Learning for Signal Processing, 2023

Robust Binary Component Decompositions.
Proceedings of the IEEE International Conference on Acoustics, 2023

Identifiability of Polytopic Matrix Factorization.
Proceedings of the 31st European Signal Processing Conference, 2023

Deep Symmetric Matrix Factorization.
Proceedings of the 31st European Signal Processing Conference, 2023

Exact and Heuristic Methods for Simultaneous Sparse Coding.
Proceedings of the 31st European Signal Processing Conference, 2023

2022
Explicit Group Sparse Projection with Applications to Deep Learning and NMF.
Trans. Mach. Learn. Res., 2022

Block Bregman Majorization Minimization with Extrapolation.
SIAM J. Math. Data Sci., 2022

Multi-resolution beta-divergence NMF for blind spectral unmixing.
Signal Process., 2022

Distributionally Robust and Multi-Objective Nonnegative Matrix Factorization.
IEEE Trans. Pattern Anal. Mach. Intell., 2022

Matrix-wise ℓ <sub>0</sub>-constrained sparse nonnegative least squares.
Mach. Learn., 2022

Revisiting data augmentation for subspace clustering.
Knowl. Based Syst., 2022

Characterizing matrices with eigenvalues in an LMI region: A dissipative-Hamiltonian approach.
CoRR, 2022

Solving matrix nearness problems via Hamiltonian systems, matrix factorization, and optimization.
CoRR, 2022

Inertial alternating direction method of multipliers for non-convex non-smooth optimization.
Comput. Optim. Appl., 2022

Bounded Simplex-Structured Matrix Factorization.
Proceedings of the IEEE International Conference on Acoustics, 2022

Subspace Clustering Using Unsupervised Data Augmentation.
Proceedings of the IEEE International Conference on Acoustics, 2022

2021
Simplex-Structured Matrix Factorization: Sparsity-Based Identifiability and Provably Correct Algorithms.
SIAM J. Math. Data Sci., 2021

Multiplicative Updates for NMF with β-Divergences under Disjoint Equality Constraints.
SIAM J. Matrix Anal. Appl., 2021

Provably Robust Blind Source Separation of Linear-Quadratic Near-Separable Mixtures.
SIAM J. Imaging Sci., 2021

Generalized Separable Nonnegative Matrix Factorization.
IEEE Trans. Pattern Anal. Mach. Intell., 2021

Characterization of the dissipative mappings and their application to perturbations of dissipative-Hamiltonian systems.
Numer. Linear Algebra Appl., 2021

Accelerating block coordinate descent for nonnegative tensor factorization.
Numer. Linear Algebra Appl., 2021

Off-diagonal symmetric nonnegative matrix factorization.
Numer. Algorithms, 2021

Algorithms for Nonnegative Matrix Factorization with the Kullback-Leibler Divergence.
J. Sci. Comput., 2021

A Block Inertial Bregman Proximal Algorithm for Nonsmooth Nonconvex Problems with Application to Symmetric Nonnegative Matrix Tri-Factorization.
J. Optim. Theory Appl., 2021

A geometric lower bound on the extension complexity of polytopes based on the f-vector.
Discret. Appl. Math., 2021

A survey on deep matrix factorizations.
Comput. Sci. Rev., 2021

Beyond linear subspace clustering: A comparative study of nonlinear manifold clustering algorithms.
Comput. Sci. Rev., 2021

Smoothed Separable Nonnegative Matrix Factorization.
CoRR, 2021

Block Alternating Bregman Majorization Minimization with Extrapolation.
CoRR, 2021

A Framework of Inertial Alternating Direction Method of Multipliers for Non-Convex Non-Smooth Optimization.
CoRR, 2021

Multi-block Bregman proximal alternating linearized minimization and its application to orthogonal nonnegative matrix factorization.
Comput. Optim. Appl., 2021

Structured nonnegative matrix factorization for traffic flow estimation of large cloud networks.
Comput. Networks, 2021

Nonnegative Unimodal Matrix Factorization.
Proceedings of the IEEE International Conference on Acoustics, 2021

Inertial Majorization-Minimization Algorithm for Minimum-Volume NMF.
Proceedings of the 29th European Signal Processing Conference, 2021

Exact Biobjective k-Sparse Nonnegative Least Squares.
Proceedings of the 29th European Signal Processing Conference, 2021

Deep orthogonal matrix factorization as a hierarchical clustering technique.
Proceedings of the 29th European Signal Processing Conference, 2021

Fast algorithm for complex-NMF with application to source separation.
Proceedings of the 29th European Signal Processing Conference, 2021

2020
Blind Audio Source Separation With Minimum-Volume Beta-Divergence NMF.
IEEE Trans. Signal Process., 2020

A Provably Correct and Robust Algorithm for Convolutive Nonnegative Matrix Factorization.
IEEE Trans. Signal Process., 2020

Computing Large-Scale Matrix and Tensor Decomposition With Structured Factors: A Unified Nonconvex Optimization Perspective.
IEEE Signal Process. Mag., 2020

Near-Convex Archetypal Analysis.
IEEE Signal Process. Lett., 2020

On approximating the nearest Ω-stable matrix.
Numer. Linear Algebra Appl., 2020

A Homotopy-based Algorithm for Sparse Multiple Right-hand Sides Nonnegative Least Squares.
CoRR, 2020

Deep matrix factorizations.
CoRR, 2020

Nonconvex Optimization Tools for Large-Scale Matrix and Tensor Decomposition with Structured Factors.
CoRR, 2020

On a minimum enclosing ball of a collection of linear subspaces.
CoRR, 2020

A block inertial Bregman proximal algorithm for nonsmooth nonconvex problems.
CoRR, 2020

Optimizing over the properly efficient set of convex multi-objective optimization problems.
Ann. Oper. Res., 2020

Sparse Separable Nonnegative Matrix Factorization.
Proceedings of the Machine Learning and Knowledge Discovery in Databases, 2020

Inertial Block Proximal Methods for Non-Convex Non-Smooth Optimization.
Proceedings of the 37th International Conference on Machine Learning, 2020

Exact Sparse Nonnegative Least Squares.
Proceedings of the 2020 IEEE International Conference on Acoustics, 2020

Extrapolated Alternating Algorithms for Approximate Canonical Polyadic Decomposition.
Proceedings of the 2020 IEEE International Conference on Acoustics, 2020

Hyperspectral Unmixing with Rare Endmembers via Minimax Nonnegative Matrix Factorization.
Proceedings of the 28th European Signal Processing Conference, 2020

Successive Nonnegative Projection Algorithm for Linear Quadratic Mixtures.
Proceedings of the 28th European Signal Processing Conference, 2020

2019
Algorithms and Comparisons of Nonnegative Matrix Factorizations With Volume Regularization for Hyperspectral Unmixing.
IEEE J. Sel. Top. Appl. Earth Obs. Remote. Sens., 2019

Identifiability of Complete Dictionary Learning.
SIAM J. Math. Data Sci., 2019

Scalable and robust sparse subspace clustering using randomized clustering and multilayer graphs.
Signal Process., 2019

Improved SVD-based initialization for nonnegative matrix factorization using low-rank correction.
Pattern Recognit. Lett., 2019

Accelerating Nonnegative Matrix Factorization Algorithms Using Extrapolation.
Neural Comput., 2019

Grouped sparse projection.
CoRR, 2019

Multi-block Bregman proximal alternating linearized minimization and its application to sparse orthogonal nonnegative matrix factorization.
CoRR, 2019

Minimal-norm static feedbacks using dissipative Hamiltonian matrices.
CoRR, 2019

Algorithms and Comparisons of Non-negative Matrix Factorization with Volume Regularization for Hyperspectral Unmixing.
CoRR, 2019

Minimum-volume Rank-deficient Nonnegative Matrix Factorizations.
Proceedings of the IEEE International Conference on Acoustics, 2019

Separable Simplex-structured Matrix Factorization: Robustness of Combinatorial Approaches.
Proceedings of the IEEE International Conference on Acoustics, 2019

Nonnegative Low-rank Sparse Component Analysis.
Proceedings of the IEEE International Conference on Acoustics, 2019

Successive Projection Algorithm Robust to Outliers.
Proceedings of the 8th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, 2019

2018
Dictionary-Based Tensor Canonical Polyadic Decomposition.
IEEE Trans. Signal Process., 2018

A Fast Gradient Method for Nonnegative Sparse Regression With Self-Dictionary.
IEEE Trans. Image Process., 2018

Finding the Nearest Positive-Real System.
SIAM J. Numer. Anal., 2018

Computing the nearest stable matrix pairs.
Numer. Linear Algebra Appl., 2018

On the Complexity of Robust PCA and ℓ1-Norm Low-Rank Matrix Approximation.
Math. Oper. Res., 2018

Spectral Unmixing With Multiple Dictionaries.
IEEE Geosci. Remote. Sens. Lett., 2018

Multiplicative updates for polynomial root finding.
Inf. Process. Lett., 2018

UTA-poly and UTA-splines: Additive value functions with polynomial marginals.
Eur. J. Oper. Res., 2018

Identifiability of Low-Rank Sparse Component Analysis.
CoRR, 2018

Algorithms for positive semidefinite factorization.
Comput. Optim. Appl., 2018

Volume regularized non-negative matrix factorizations.
Proceedings of the 9th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing, 2018

2017
Sequential dimensionality reduction for extracting localized features.
Pattern Recognit., 2017

Solving the Maximum Clique Problem with Symmetric Rank-One Non-negative Matrix Approximation.
J. Optim. Theory Appl., 2017

Low-Rank Matrix Approximation in the Infinity Norm.
CoRR, 2017

Introduction to Nonnegative Matrix Factorization.
CoRR, 2017

On computing the distance to stability for matrices using linear dissipative Hamiltonian systems.
Autom., 2017

Some Theory on Non-negative Tucker Decomposition.
Proceedings of the Latent Variable Analysis and Signal Separation, 2017

A new approach to dictionary-based nonnegative matrix factorization.
Proceedings of the 25th European Signal Processing Conference, 2017

2016
Efficient and Non-Convex Coordinate Descent for Symmetric Nonnegative Matrix Factorization.
IEEE Trans. Signal Process., 2016

Heuristics for exact nonnegative matrix factorization.
J. Glob. Optim., 2016

2015
Hierarchical Clustering of Hyperspectral Images Using Rank-Two Nonnegative Matrix Factorization.
IEEE Trans. Geosci. Remote. Sens., 2015

Exact and Heuristic Algorithms for Semi-Nonnegative Matrix Factorization.
SIAM J. Matrix Anal. Appl., 2015

Semidefinite Programming Based Preconditioning for More Robust Near-Separable Nonnegative Matrix Factorization.
SIAM J. Optim., 2015

Enhancing Pure-Pixel Identification Performance via Preconditioning.
SIAM J. Imaging Sci., 2015

Coordinate Descent Methods for Symmetric Nonnegative Matrix Factorization.
CoRR, 2015

On the Linear Extension Complexity of Regular n-gons.
CoRR, 2015

On the Complexity of Robust PCA and ℓ<sub>1</sub>-norm Low-Rank Matrix Approximation.
CoRR, 2015

2014
A Signal Processing Perspective on Hyperspectral Unmixing: Insights from Remote Sensing.
IEEE Signal Process. Mag., 2014

Successive Nonnegative Projection Algorithm for Robust Nonnegative Blind Source Separation.
SIAM J. Imaging Sci., 2014

Fast and Robust Recursive Algorithmsfor Separable Nonnegative Matrix Factorization.
IEEE Trans. Pattern Anal. Mach. Intell., 2014

Robust near-separable nonnegative matrix factorization using linear optimization.
J. Mach. Learn. Res., 2014

A continuous characterization of the maximum-edge biclique problem.
J. Glob. Optim., 2014

Two algorithms for orthogonal nonnegative matrix factorization with application to clustering.
Neurocomputing, 2014

Proceedings of the second "international Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST'14).
CoRR, 2014

The Why and How of Nonnegative Matrix Factorization.
CoRR, 2014

2013
Robustness Analysis of Hottopixx, a Linear Programming Model for Factoring Nonnegative Matrices.
SIAM J. Matrix Anal. Appl., 2013

ONP-MF: An Orthogonal Nonnegative Matrix Factorization Algorithm with Application to Clustering.
Proceedings of the 21st European Symposium on Artificial Neural Networks, 2013

2012
Accelerated Multiplicative Updates and Hierarchical ALS Algorithms for Nonnegative Matrix Factorization.
Neural Comput., 2012

Sparse and unique nonnegative matrix factorization through data preprocessing.
J. Mach. Learn. Res., 2012

A multilevel approach for nonnegative matrix factorization.
J. Comput. Appl. Math., 2012

Robustness Analysis of HottTopixx, a Linear Programming Model for Factoring Nonnegative Matrices
CoRR, 2012

Fast and Robust Recursive Algorithms for Separable Nonnegative Matrix Factorization
CoRR, 2012

2011
Low-Rank Matrix Approximation with Weights or Missing Data Is NP-Hard.
SIAM J. Matrix Anal. Appl., 2011

Sparse nonnegative matrix underapproximation and its application to hyperspectral image analysis.
Proceedings of the 3rd Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing, 2011

2010
Using underapproximations for sparse nonnegative matrix factorization.
Pattern Recognit., 2010

2009
Document Classification using Nonnegative Matrix Factorization and Underapproximation.
Proceedings of the International Symposium on Circuits and Systems (ISCAS 2009), 2009


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