no code implementations • 2 Apr 2024 • Philémon Beghin, Anne-Emmanuelle Ceulemans, François Glineur
Some early violins have been reduced during their history to fit imposed morphological standards, while more recent ones have been built directly to these standards.
no code implementations • 17 Apr 2023 • Sofiane Tanji, Andrea Della Vecchia, François Glineur, Silvia Villa
Kernel methods provide a powerful framework for non parametric learning.
no code implementations • 26 Sep 2022 • Cécile Hautecoeur, Lieven De Lathauwer, Nicolas Gillis, François Glineur
When the data is made of samplings of continuous signals, the factors in NMF can be constrained to be samples of nonnegative rational functions, which allow fairly general models; this is referred to as NMF using rational functions (R-NMF).
no code implementations • 18 May 2022 • Philémon Beghin, Anne-Emmanuelle Ceulemans, Paul Fisette, François Glineur
Some early violins have been reduced during their history to fit imposed morphological standards, while more recent ones have been built directly to these standards.
no code implementations • 21 Apr 2022 • Valentin Hamaide, Denis Joassin, Lauriane Castin, François Glineur
The first level is responsible for building a health indicator by aggregating features using a learning algorithm.
1 code implementation • 11 Jan 2022 • Baptiste Goujaud, Céline Moucer, François Glineur, Julien Hendrickx, Adrien Taylor, Aymeric Dieuleveut
PEPit is a Python package aiming at simplifying the access to worst-case analyses of a large family of first-order optimization methods possibly involving gradient, projection, proximal, or linear optimization oracles, along with their approximate, or Bregman variants.
1 code implementation • 26 Jan 2021 • Shuyu Dong, Bin Gao, Yu Guan, François Glineur
We propose new Riemannian preconditioned algorithms for low-rank tensor completion via the polyadic decomposition of a tensor.
1 code implementation • 28 Aug 2020 • Yu Guan, Shuyu Dong, Bin Gao, P. -A. Absil, François Glineur
The usage of graph regularization entails benefits in the learning accuracy of LRTC, but at the same time, induces coupling graph Laplacian terms that hinder the optimization of the tensor completion model.
1 code implementation • 11 May 2017 • Adrien B. Taylor, Julien M. Hendrickx, François Glineur
We establish the exact worst-case convergence rates of the proximal gradient method in this setting for any step size and for different standard performance measures: objective function accuracy, distance to optimality and residual gradient norm.
Optimization and Control
no code implementations • 26 Nov 2014 • Arnaud Vandaele, Nicolas Gillis, François Glineur, Daniel Tuyttens
The exact nonnegative matrix factorization (exact NMF) problem is the following: given an $m$-by-$n$ nonnegative matrix $X$ and a factorization rank $r$, find, if possible, an $m$-by-$r$ nonnegative matrix $W$ and an $r$-by-$n$ nonnegative matrix $H$ such that $X = WH$.
no code implementations • 4 Sep 2010 • Nicolas Gillis, François Glineur
We show that computing this quantity is equivalent to a problem in polyhedral combinatorics, and fully characterize its computational complexity.
Optimization and Control Combinatorics