Back to Search Start Over

Implicit Differentiation for Hyperparameter Tuning the Weighted Graphical Lasso

Authors :
Pouliquen, Can
Gonçalves, Paulo
Massias, Mathurin
Vayer, Titouan
Source :
GRETSI 2023-XXIX{\`e}me Colloque Francophone de Traitement du Signal et des Images
Publication Year :
2023

Abstract

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. In particular, we derive the Jacobian of the Graphical Lasso solution with respect to its regularization hyperparameters.

Details

Database :
arXiv
Journal :
GRETSI 2023-XXIX{\`e}me Colloque Francophone de Traitement du Signal et des Images
Publication Type :
Report
Accession number :
edsarx.2307.02130
Document Type :
Working Paper