26 citations · 156 across the 36 of their papers we have counts for
5 papers · 1 filter
Max-Normalized Radon Cumulative Distribution Transform for Limited Data Classification
Matthias Beckmann, Robert Beinert, Jonas Bresch
The Radon cumulative distribution transform (R-CDT) exploits one-dimensional Wasserstein transport and the Radon transform to represent prominent features in images. It is closely…
Denoising Hyperbolic-Valued Data by Relaxed Regularizations
Robert Beinert, Jonas Bresch
We introduce a novel relaxation strategy for denoising hyperbolic-valued data. The main challenge is here the non-convexity of the hyperbolic sheet. Instead of considering the deno…
Wasserstein Gradient Flows of MMD Functionals with Distance Kernel and Cauchy Problems on Quantile Functions
Richard Duong, Viktor Stein, Robert Beinert +2
We give a comprehensive description of Wasserstein gradient flows of maximum mean discrepancy (MMD) functionals towards given target measu…
Denoising Sphere-Valued Data by Relaxed Total Variation Regularization
Robert Beinert, Jonas Bresch
Circle- and sphere-valued data play a significant role in inverse problems like magnetic resonance phase imaging and radar interferometry, in the analysis of directional informatio…
Tangential Fixpoint Iterations for Gromov-Wasserstein Barycenters
Florian Beier, Robert Beinert
The Gromov-Wasserstein (GW) transport problem is a relaxation of classic optimal transport, which seeks a transport between two measures while preserving their internal geometry. D…