269 citations · 3k across the 82 of their papers we have counts for
4 papers · 1 filter
A semi-analytical approach for the positive semidefinite Procrustes problem
Nicolas Gillis, Punit Sharma
The positive semidefinite Procrustes (PSDP) problem is the following: given rectangular matrices and , find the symmetric positive semidefinite matrix that minimizes the…
On computing the distance to stability for matrices using linear dissipative Hamiltonian systems
Nicolas Gillis, Punit Sharma
In this paper, we consider the problem of computing the nearest stable matrix to an unstable one. We propose new algorithms to solve this problem based on a reformulation using lin…
A Fast Gradient Method for Nonnegative Sparse Regression with Self Dictionary
Nicolas Gillis, Robert Luce
A nonnegative matrix factorization (NMF) can be computed efficiently under the separability assumption, which asserts that all the columns of the given input data matrix belong to…
UTA-poly and UTA-splines: additive value functions with polynomial marginals
Olivier Sobrie, Nicolas Gillis, Vincent Mousseau +1
Additive utility function models are widely used in multiple criteria decision analysis. In such models, a numerical value is associated to each alternative involved in the decisio…