activity
20112023
most citedA Second Order Non-Smooth Variational Model for Restoring Manifold-Valued Images

95 citations · 768 across the 58 of their papers we have counts for

collaborators

66 papers

math.NA2023

A Study of Particle Motion in the Presence of Clusters

Christian Wald, Gabriele Steidl

The motivation for this study came from the task of analysing the kinetic behavior of single molecules in a living cell based on Single Molecule Localization Microscopy. Given meas…

math.NA2023★ 1 cited

Denoising of Sphere- and SO(3)-Valued Data by Relaxed Tikhonov Regularization

Robert Beinert, Jonas Bresch, Gabriele Steidl

Manifold-valued signal- and image processing has received attention due to modern image acquisition techniques. Recently, a convex relaxation of the otherwise nonconvex Tikhonov-re…

math.NA2023★ 1 cited

Generalized Iterative Scaling for Regularized Optimal Transport with Affine Constraints: Application Examples

Johannes von Lindheim, Gabriele Steidl

We demonstrate the relevance of an algorithm called generalized iterative scaling (GIS) or simultaneous multiplicative algebraic reconstruction technique (SMART) and its rescaled b…

math.NA2023★ 9 cited

Sliced Optimal Transport on the Sphere

Michael Quellmalz, Robert Beinert, Gabriele Steidl

Sliced optimal transport reduces optimal transport on multi-dimensional domains to transport on the line. More precisely, sliced optimal transport is the concatenation of the well-…

cs.LG2023★ 2 cited

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

Fabian Altekrüger, Paul Hagemann, Gabriele Steidl

Conditional generative models became a very powerful tool to sample from Bayesian inverse problem posteriors. It is well-known in classical Bayesian literature that posterior measu…

cs.LG2023★ 3 cited

Multilevel Diffusion: Infinite Dimensional Score-Based Diffusion Models for Image Generation

Paul Hagemann, Sophie Mildenberger, Lars Ruthotto +2

Score-based diffusion models (SBDM) have recently emerged as state-of-the-art approaches for image generation. Existing SBDMs are typically formulated in a finite-dimensional setti…