# Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme

created by davoli on 04 Feb 2019
modified on 13 Nov 2020

[BibTeX]

Submitted Paper

Inserted: 4 feb 2019
Last Updated: 13 nov 2020

Year: 2020

Abstract:

A bilevel training scheme is used to introduce a novel class of regularizers, providing a unified approach to standard regularizers $TGV^2$ and $NsTGV^2$. Optimal parameters and regularizers are identified, and the existence of a solution for any given set of training imaging data is proved by $\Gamma$-convergence. Explicit examples and numerical results are given.