1 code implementation • 8 Nov 2023 • Titouan Vayer, Etienne Lasalle, Rémi Gribonval, Paulo Gonçalves
We consider the problem of learning a graph modeling the statistical relations of the $d$ variables from a dataset with $n$ samples $X \in \mathbb{R}^{n \times d}$.
no code implementations • 5 Jul 2023 • Can Pouliquen, Paulo Gonçalves, Mathurin Massias, Titouan Vayer
We provide a framework and algorithm for tuning the hyperparameters of the Graphical Lasso via a bilevel optimization problem solved with a first-order method.
1 code implementation • 29 Apr 2021 • Sibylle Marcotte, Amélie Barbe, Rémi Gribonval, Titouan Vayer, Marc Sebban, Pierre Borgnat, Paulo Gonçalves
Diffusing a graph signal at multiple scales requires computing the action of the exponential of several multiples of the Laplacian matrix.
1 code implementation • 31 Oct 2019 • Raimon Fabregat, Nelly Pustelnik, Paulo Gonçalves, Pierre Borgnat
Non-negative matrix factorization is a problem of dimensionality reduction and source separation of data that has been widely used in many fields since it was studied in depth in 1999 by Lee and Seung, including in compression of data, document clustering, processing of audio spectrograms and astronomy.
1 code implementation • 11 Mar 2019 • Esteban Bautista, Patrice Abry, Paulo Gonçalves
A procedure for the automated estimation of the optimal $\gamma$, from a unique observation of data, is devised and assessed.
no code implementations • 3 Nov 2017 • Nicolas Tremblay, Paulo Gonçalves, Pierre Borgnat
The aim of this chapter is to review general concepts for the introduction of filters and representations of graph signals.
Signal Processing Information Theory Social and Information Networks Information Theory