26 citations · 35 across the 15 of their papers we have counts for
4 papers · 1 filter
Bregman Distances in Inverse Problems and Partial Differential Equation
Martin Burger
The aim of this paper is to provide an overview of recent development related to Bregman distances outside its native areas of optimization and statistics. We discuss approaches in…
Second-order edge-penalization in the Ambrosio-Tortorelli functional
Martin Burger, Teresa Esposito, Caterina Zeppieri
We propose and study two variants of the Ambrosio-Tortorelli functional where the first-order penalization of the edge variable is replaced by a second-order term depending on…
Regularization with Sparse Vector Fields: From Image Compression to TV-type Reconstruction
Eva-Maria Brinkmann, Martin Burger, Joana Grah
This paper introduces a novel variational approach for image compression motivated by recent PDE-based approaches combining edge detection and Laplacian inpainting. The essential f…
On a Boltzmann mean field model for knowledge growth
Martin Burger, Alexander Lorz, Marie-Therese Wolfram
In this paper we analyze a Boltzmann type mean field game model for knowledge growth, which was proposed by Lucas and Moll. We discuss the underlying mathematical model, which cons…