Search Results for author: Dirk A. Lorenz

Found 9 papers, 0 papers with code

On the Interplay of Subset Selection and Informed Graph Neural Networks

no code implementations15 Jun 2023 Niklas Breustedt, Paolo Climaco, Jochen Garcke, Jan Hamaekers, Gitta Kutyniok, Dirk A. Lorenz, Rick Oerder, Chirag Varun Shukla

However, learning on large datasets is strongly limited by the availability of computational resources and can be infeasible in some scenarios.

Learning Variational Models with Unrolling and Bilevel Optimization

no code implementations26 Sep 2022 Christoph Brauer, Niklas Breustedt, Timo de Wolff, Dirk A. Lorenz

In this paper we consider the problem of learning variational models in the context of supervised learning via risk minimization.

Bilevel Optimization Rolling Shutter Correction

Denoising of image gradients and total generalized variation denoising

no code implementations22 Dec 2017 Birgit Komander, Dirk A. Lorenz, Lena Vestweber

We show that this increases the image reconstruction quality and derive that the resulting model resembles the total generalized variation denoising method, thus providing a new motivation for this model.

Denoising Image Reconstruction

An extended Perona-Malik model based on probabilistic models

no code implementations19 Dec 2016 Lars M. Mescheder, Dirk A. Lorenz

Moreover, we show how mean field approximations to these Gaussian scale mixtures lead to a modification of the lagged-diffusivity algorithm that better captures the uncertainties in the restoration.

Imaging with Kantorovich-Rubinstein discrepancy

no code implementations1 Jul 2014 Jan Lellmann, Dirk A. Lorenz, Carola Schönlieb, Tuomo Valkonen

We propose the use of the Kantorovich-Rubinstein norm from optimal transport in imaging problems.

Image Denoising

An inertial forward-backward algorithm for monotone inclusions

no code implementations14 Mar 2014 Dirk A. Lorenz, Thomas Pock

In this paper, we propose an inertial forward backward splitting algorithm to compute a zero of the sum of two monotone operators, with one of the two operators being co-coercive.

The Linearized Bregman Method via Split Feasibility Problems: Analysis and Generalizations

no code implementations9 Sep 2013 Dirk A. Lorenz, Frank Schöpfer, Stephan Wenger

The linearized Bregman method is a method to calculate sparse solutions to systems of linear equations.

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