no code implementations • 27 Dec 2023 • Moritz Piening, Fabian Altekrüger, Johannes Hertrich, Paul Hagemann, Andrea Walther, Gabriele Steidl
The solution of inverse problems is of fundamental interest in medical and astronomical imaging, geophysics as well as engineering and life sciences.
1 code implementation • 4 Oct 2023 • Paul Hagemann, Johannes Hertrich, Fabian Altekrüger, Robert Beinert, Jannis Chemseddine, Gabriele Steidl
We propose conditional flows of the maximum mean discrepancy (MMD) with the negative distance kernel for posterior sampling and conditional generative modeling.
1 code implementation • 19 May 2023 • Johannes Hertrich, Christian Wald, Fabian Altekrüger, Paul Hagemann
We prove that the MMD of Riesz kernels, which is also known as energy distance, coincides with the MMD of their sliced version.
no code implementations • 28 Mar 2023 • Fabian Altekrüger, Paul Hagemann, Gabriele Steidl
Conditional generative models became a very powerful tool to sample from Bayesian inverse problem posteriors.
1 code implementation • 27 Jan 2023 • Fabian Altekrüger, Johannes Hertrich, Gabriele Steidl
Wasserstein gradient flows of maximum mean discrepancy (MMD) functionals with non-smooth Riesz kernels show a rich structure as singular measures can become absolutely continuous ones and conversely.
1 code implementation • 24 May 2022 • Fabian Altekrüger, Alexander Denker, Paul Hagemann, Johannes Hertrich, Peter Maass, Gabriele Steidl
Learning neural networks using only few available information is an important ongoing research topic with tremendous potential for applications.
1 code implementation • 20 Jan 2022 • Fabian Altekrüger, Johannes Hertrich
Exploiting image patches instead of whole images have proved to be a powerful approach to tackle various problems in image processing.