95 citations · 768 across the 58 of their papers we have counts for
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Wasserstein Steepest Descent Flows of Discrepancies with Riesz Kernels
Johannes Hertrich, Manuel Gräf, Robert Beinert +1
The aim of this paper is twofold. Based on the geometric Wasserstein tangent space, we first introduce Wasserstein steepest descent flows. These are locally absolutely continuous c…
Motion Detection in Diffraction Tomography by Common Circle Methods
Michael Quellmalz, Peter Elbau, Otmar Scherzer +1
The method of common lines is a well-established reconstruction technique in cryogenic electron microscopy (cryo-EM), which can be used to extract the relative orientations of an o…
On Assignment Problems Related to Gromov-Wasserstein Distances on the Real Line
Robert Beinert, Cosmas Heiss, Gabriele Steidl
Let and , , be real numbers. We show by an example that the assignment problem $$ \max_{σ\in S_n} F_σ(x,y) := \frac12 \sum_{…
PatchNR: Learning from Very Few Images by Patch Normalizing Flow Regularization
Fabian Altekrüger, Alexander Denker, Paul Hagemann +3
Learning neural networks using only few available information is an important ongoing research topic with tremendous potential for applications. In this paper, we introduce a power…
Multi-Marginal Gromov-Wasserstein Transport and Barycenters
Florian Beier, Robert Beinert, Gabriele Steidl
Gromov-Wasserstein (GW) distances are combinations of Gromov-Hausdorff and Wasserstein distances that allow the comparison of two different metric measure spaces (mm-spaces). Due t…
Lagrangian Motion Magnification with Double Sparse Optical Flow Decomposition
Philipp Flotho, Cosmas Heiss, Gabriele Steidl +1
Microexpressions are fast and spatially small facial expressions that are difficult to detect. Therefore motion magnification techniques, which aim at amplifying and hence revealin…
Quasi -Firmly Nonexpansive Mappings in Wasserstein Spaces
Arian Bërdëllima, Gabriele Steidl
This paper introduces the concept of quasi -firmly nonexpansive mappings in Wasserstein spaces over and analyzes properties of these mappings. We prove that for qu…