Nicolas Gillis

research

∙ 05/17/2023

Algorithms for Boolean Matrix Factorization using Integer Programming

Boolean matrix factorization (BMF) approximates a given binary input mat...

0 Christos Kolomvakis, et al. ∙

research

∙ 05/15/2023

Accelerated Algorithms for Nonlinear Matrix Decomposition with the ReLU function

In this paper, we study the following nonlinear matrix decomposition (NM...

0 Giovanni Seraghiti, et al. ∙

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∙ 10/13/2022

Characterizing matrices with eigenvalues in an LMI region: A dissipative-Hamiltonian approach

In this paper, we provide a dissipative Hamiltonian (DH) characterizatio...

0 Neelam Choudhary, et al. ∙

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∙ 09/26/2022

Bounded Simplex-Structured Matrix Factorization

In this paper, we propose a new low-rank matrix factorization model dubb...

0 Olivier Vu Thanh, et al. ∙

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∙ 09/26/2022

Least-squares methods for nonnegative matrix factorization over rational functions

Nonnegative Matrix Factorization (NMF) models are widely used to recover...

0 Cécile Hautecoeur, et al. ∙

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∙ 07/20/2022

Revisiting data augmentation for subspace clustering

Subspace clustering is the classical problem of clustering a collection ...

0 Maryam Abdolali, et al. ∙

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∙ 06/21/2022

A consistent and flexible framework for deep matrix factorizations

Deep matrix factorizations (deep MFs) are recent unsupervised data minin...

0 Pierre De Handschutter, et al. ∙

research

∙ 06/16/2022

Partial Identifiability for Nonnegative Matrix Factorization

Given a nonnegative matrix factorization, R, and a factorization rank, r...

0 Nicolas Gillis, et al. ∙

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∙ 02/05/2022

Solving matrix nearness problems via Hamiltonian systems, matrix factorization, and optimization

In these lectures notes, we review our recent works addressing various p...

0 Nicolas Gillis, et al. ∙

research

∙ 10/15/2021

Structured Nonnegative Matrix Factorization for Traffic Flow Estimation of Large Cloud Networks

Network traffic matrix estimation is an ill-posed linear inverse problem...

0 Syed Muhammad Atif, et al. ∙

research

∙ 10/11/2021

Smoothed Separable Nonnegative Matrix Factorization

Given a set of data points belonging to the convex hull of a set of vert...

0 Nicolas Nadisic, et al. ∙

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∙ 07/09/2021

Block Alternating Bregman Majorization Minimization with Extrapolation

In this paper, we consider a class of nonsmooth nonconvex optimization p...

0 Le Thi Khanh Hien, et al. ∙

research

∙ 03/19/2021

Beyond Linear Subspace Clustering: A Comparative Study of Nonlinear Manifold Clustering Algorithms

Subspace clustering is an important unsupervised clustering approach. It...

0 Maryam Abdolali, et al. ∙

research

∙ 02/10/2021

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

In this paper, we propose an algorithmic framework dubbed inertial alter...

0 Le Thi Khanh Hien, et al. ∙

research

∙ 11/24/2020

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

In this work, we consider the problem of blind source separation (BSS) b...

0 Christophe Kervazo, et al. ∙

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∙ 11/22/2020

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

Nonnegative least squares (NNLS) problems arise in models that rely on a...

1 Nicolas Nadisic, et al. ∙

research

∙ 10/30/2020

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

Nonnegative matrix factorization (NMF) is the problem of approximating a...

0 Valentin Leplat, et al. ∙

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∙ 10/23/2020

An Inertial Block Majorization Minimization Framework for Nonsmooth Nonconvex Optimization

In this paper, we introduce TITAN, a novel inerTial block majorIzation m...

0 Le Thi Khanh Hien, et al. ∙

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∙ 10/05/2020

Algorithms for Nonnegative Matrix Factorization with the Kullback-Leibler Divergence

Nonnegative matrix factorization (NMF) is a standard linear dimensionali...

0 Le Thi Khanh Hien, et al. ∙

research

∙ 10/01/2020

Deep matrix factorizations

Constrained low-rank matrix approximations have been known for decades a...

0 Pierre De Handschutter, et al. ∙

research

∙ 07/22/2020

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

In this paper, we provide novel algorithms with identifiability guarante...

0 Maryam Abdolali, et al. ∙

research

∙ 07/08/2020

Multi-Resolution Beta-Divergence NMF for Blind Spectral Unmixing

Blind spectral unmixing is the problem of decomposing the spectrum of a ...

0 Valentin Leplat, et al. ∙

research

∙ 06/15/2020

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

The proposed article aims at offering a comprehensive tutorial for the c...

0 Xiao Fu, et al. ∙

research

∙ 06/13/2020

Sparse Separable Nonnegative Matrix Factorization

We propose a new variant of nonnegative matrix factorization (NMF), comb...

0 Nicolas Nadisic, et al. ∙

research

∙ 03/27/2020

On a minimum enclosing ball of a collection of linear subspaces

This paper concerns the minimax center of a collection of linear subspac...

0 Timothy Marrinan, et al. ∙

research

∙ 03/10/2020

Off-diagonal Symmetric Nonnegative Matrix Factorization

Symmetric nonnegative matrix factorization (symNMF) is a variant of nonn...

0 François Moutier, et al. ∙

research

∙ 03/09/2020

A block inertial Bregman proximal algorithm for nonsmooth nonconvex problems

In this paper, a block inertial Bregman proximal algorithm, namely [], f...

0 Masoud Ahookhosh, et al. ∙

research

∙ 01/13/2020

Accelerating Block Coordinate Descent for Nonnegative Tensor Factorization

This paper is concerned with improving the empirical convergence speed o...

0 Andersen Man Shun Ang, et al. ∙

research

∙ 12/09/2019

Grouped sparse projection

As evident from deep learning, very large models bring improvements in t...

12 Nicolas Gillis, et al. ∙

research

∙ 10/02/2019

Near-Convex Archetypal Analysis

Nonnegative matrix factorization (NMF) is a widely used linear dimension...

0 Pierre De Handschutter, et al. ∙

research

∙ 08/12/2019

Successive Projection Algorithm Robust to Outliers

The successive projection algorithm (SPA) is a fast algorithm to tackle ...

0 Nicolas Gillis, et al. ∙

research

∙ 08/04/2019

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

We introduce and analyze BPALM and A-BPALM, two multi-block proximal alt...

0 Masoud Ahookhosh, et al. ∙

research

∙ 07/16/2019

Minimal-norm static feedbacks using dissipative Hamiltonian matrices

In this paper, we characterize the set of static-state feedbacks that st...

0 Nicolas Gillis, et al. ∙

research

∙ 07/04/2019

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

Considering a mixed signal composed of various audio sources and recorde...

1 Valentin Leplat, et al. ∙

research

∙ 06/17/2019

A Provably Correct and Robust Algorithm for Convolutive Nonnegative Matrix Factorization

In this paper, we propose a provably correct algorithm for convolutive n...

0 Anthony Degleris, et al. ∙

research

∙ 05/30/2019

Generalized Separable Nonnegative Matrix Factorization

Nonnegative matrix factorization (NMF) is a linear dimensionality techni...

0 Junjun Pan, et al. ∙

research

∙ 03/11/2019

Algorithms and Comparisons of Non-negative Matrix Factorization with Volume Regularization for Hyperspectral Unmixing

In this work, we consider nonnegative matrix factorization (NMF) with a ...

0 M. S. Ang, et al. ∙

research

∙ 03/05/2019

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

In this paper, we propose inertial versions of block coordinate descent ...

0 Le Thi Khanh Hien, et al. ∙

research

∙ 01/30/2019

Distributionally Robust and Multi-Objective Nonnegative Matrix Factorization

Nonnegative matrix factorization (NMF) is a linear dimensionality reduct...

0 Nicolas Gillis, et al. ∙

research

∙ 08/27/2018

Identifiability of Low-Rank Sparse Component Analysis

Sparse component analysis (SCA) is the following problem: Given an input...

0 Jérémy E. Cohen, et al. ∙

research

∙ 07/11/2018

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

Due to the iterative nature of most nonnegative matrix factorization (NM...

0 Atif Muhammad Syed, et al. ∙

research

∙ 05/17/2018

Accelerating Nonnegative Matrix Factorization Algorithms using Extrapolation

In this paper, we propose a general framework to accelerate significantl...

0 Andersen Man Shun Ang, et al. ∙

research

∙ 02/21/2018

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

Sparse subspace clustering (SSC) is one of the current state-of-the-art ...

0 Maryam Abdolali, et al. ∙

research

∙ 04/03/2017

Dictionary-based Tensor Canonical Polyadic Decomposition

To ensure interpretability of extracted sources in tensor decomposition,...

0 Jérémy E. Cohen, et al. ∙

research

∙ 03/02/2017

Introduction to Nonnegative Matrix Factorization

In this paper, we introduce and provide a short overview of nonnegative ...

0 Nicolas Gillis, et al. ∙

research

∙ 03/05/2016

UTA-poly and UTA-splines: additive value functions with polynomial marginals

Additive utility function models are widely used in multiple criteria de...

0 Olivier Sobrie, et al. ∙

research

∙ 09/04/2015

Coordinate Descent Methods for Symmetric Nonnegative Matrix Factorization

Given a symmetric nonnegative matrix A, symmetric nonnegative matrix fac...

0 Arnaud Vandaele, et al. ∙

research

∙ 05/26/2015

Sequential Dimensionality Reduction for Extracting Localized Features

Linear dimensionality reduction techniques are powerful tools for image ...

0 Gabriella Casalino, et al. ∙

research

∙ 11/26/2014

Heuristics for Exact Nonnegative Matrix Factorization

The exact nonnegative matrix factorization (exact NMF) problem is the fo...

0 Arnaud Vandaele, et al. ∙

research

∙ 10/27/2014

Exact and Heuristic Algorithms for Semi-Nonnegative Matrix Factorization

Given a matrix M (not necessarily nonnegative) and a factorization rank ...

0 Nicolas Gillis, et al. ∙

Nicolas Gillis

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