no code implementations • 15 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.
no code implementations • 26 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.
no code implementations • 11 Jan 2018 • Dirk A. Lorenz, Quoc Tran-Dinh
This, in turn, proves the convergence of the method with the new adaptive stepsize rule.
no code implementations • 22 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.
no code implementations • 19 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.
no code implementations • 1 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.
no code implementations • 28 Mar 2014 • Dirk A. Lorenz, Stephan Wenger, Frank Schöpfer, Marcus Magnor
An algorithmic framework to compute sparse or minimal-TV solutions of linear systems is proposed.
no code implementations • 14 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.
no code implementations • 9 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.