Search Results for author: Fabian Altekrüger

Found 7 papers, 5 papers with code

Learning from small data sets: Patch-based regularizers in inverse problems for image reconstruction

no code implementations27 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.

Geophysics Image Reconstruction +2

Posterior Sampling Based on Gradient Flows of the MMD with Negative Distance Kernel

1 code implementation4 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.

Conditional Image Generation

Generative Sliced MMD Flows with Riesz Kernels

1 code implementation19 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.

Image Generation

Conditional Generative Models are Provably Robust: Pointwise Guarantees for Bayesian Inverse Problems

no code implementations28 Mar 2023 Fabian Altekrüger, Paul Hagemann, Gabriele Steidl

Conditional generative models became a very powerful tool to sample from Bayesian inverse problem posteriors.

Neural Wasserstein Gradient Flows for Maximum Mean Discrepancies with Riesz Kernels

1 code implementation27 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.

PatchNR: Learning from Very Few Images by Patch Normalizing Flow Regularization

1 code implementation24 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.

Computed Tomography (CT)

WPPNets and WPPFlows: The Power of Wasserstein Patch Priors for Superresolution

1 code implementation20 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.

Uncertainty Quantification

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