269 citations · 3k across the 82 of their papers we have counts for
7 papers · 1 filter
Structured Nonnegative Matrix Factorization for Traffic Flow Estimation of Large Cloud Networks
Syed Muhammad Atif, Nicolas Gillis, Sameer Qazi +1
Network traffic matrix estimation is an ill-posed linear inverse problem: it requires to estimate the unobservable origin destination traffic flows, X, given the observable link tr…
Smoothed Separable Nonnegative Matrix Factorization
Nicolas Nadisic, Nicolas Gillis, Christophe Kervazo
Given a set of data points belonging to the convex hull of a set of vertices, a key problem in linear algebra, signal processing, data analysis and machine learning is to estimate…
Block Alternating Bregman Majorization Minimization with Extrapolation
Le Thi Khanh Hien, Duy Nhat Phan, Nicolas Gillis +2
In this paper, we consider a class of nonsmooth nonconvex optimization problems whose objective is the sum of a block relative smooth function and a proper and lower semicontinuous…
Conic-Optimization Based Algorithms for Nonnegative Matrix Factorization
Valentin Leplat, Yurii Nesterov, Nicolas Gillis +1
Nonnegative matrix factorization is the following problem: given a nonnegative input matrix and a factorization rank , compute two nonnegative matrices, with columns…
On the non-symmetric semidefinite Procrustes problem
Mohit Kumar Baghel, Nicolas Gillis, Punit Sharma
In this paper, we consider the non-symmetric positive semidefinite Procrustes (NSPSDP) problem: Given two matrices , find the matrix $A \in \mathbb{R}^{n,…
Characterization of the dissipative mappings and their application to perturbations of dissipative-Hamiltonian systems
Mohit Kumar Baghel, Nicolas Gillis, Punit Sharma
In this paper, we find necessary and sufficient conditions to identify pairs of matrices and for which there exists such that is positive sem…
A Framework of Inertial Alternating Direction Method of Multipliers for Non-Convex Non-Smooth Optimization
Le Thi Khanh Hien, Duy Nhat Phan, Nicolas Gillis
In this paper, we propose an algorithmic framework, dubbed inertial alternating direction methods of multipliers (iADMM), for solving a class of nonconvex nonsmooth multiblock comp…