We propose a partially learned approach for the solution of ill-posed inverse problems with
not necessarily linear forward operators. The method builds on ideas from classical …

Regularization methods are a key tool in the solution of inverse problems. They are used to
introduce prior knowledge and allow a robust approximation of ill-posed (pseudo-) inverses …

Over the last decades, the total variation (TV) has evolved to be one of the most broadly-
used regularisation functionals for inverse problems, in particular for imaging applications …

In recent years, a variety of gradient-based bi-level optimization methods have been
developed for learning tasks. However, theoretical guarantees of these existing approaches …

Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …

In this paper, we propose a novel model for remote sensing images destri**, which
includes the Schatten 1∕ 2-norm and the unidirectional first-order and high-order total …

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain
regularization parameters for solving inverse problems. We consider a supervised learning …

This review discusses methods for learning parameters for image reconstruction problems
using bilevel formulations. Image reconstruction typically involves optimizing a cost function …

We review some recent learning approaches in variational imaging based on bilevel
optimization and emphasize the importance of their treatment in function space. The paper …

Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …