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07/20/2023
Denoising of Sphere- and SO(3)-Valued Data by Relaxed Tikhonov Regularization
Manifold-valued signal- and image processing has received attention due ...
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04/18/2023
Sliced Optimal Transport on the Sphere
Sliced optimal transport reduces optimal transport on multi-dimensional ...
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01/18/2023
Prony-Based Super-Resolution Phase Retrieval of Sparse, Multivariate Signals
Phase retrieval consists in the recovery of an unknown signal from phase...
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01/11/2023
Wasserstein Gradient Flows of the Discrepancy with Distance Kernel on the Line
This paper provides results on Wasserstein gradient flows between measur...
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11/02/2022
Wasserstein Steepest Descent Flows of Discrepancies with Riesz Kernels
The aim of this paper is twofold. Based on the geometric Wasserstein tan...
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10/07/2022
Total Variation-Based Reconstruction and Phase Retrieval for Diffraction Tomography with an Arbitrarily Moving Object
We consider the imaging problem of the reconstruction of a three-dimensi...
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10/04/2022
Multi-marginal Approximation of the Linear Gromov-Wasserstein Distance
Recently, two concepts from optimal transport theory have successfully b...
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05/13/2022
Multi-Marginal Gromov-Wasserstein Transport and Barycenters
Gromov-Wasserstein (GW) distances are generalizations of Gromov-Haussdor...
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01/27/2022
Total variation-based phase retrieval for diffraction tomography
In optical diffraction tomography (ODT), the three-dimensional scatterin...
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12/22/2021
On a linear Gromov-Wasserstein distance
Gromov-Wasserstein distances are generalization of Wasserstein distances...
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09/14/2021
Approximation of Curve-based Sleeve Functions in High Dimensions
Sleeve functions are generalizations of the well-established ridge funct...
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03/18/2021
Phase Retrieval and System Identification in Dynamical Sampling via Prony's Method
Phase retrieval in dynamical sampling is a novel research direction, whe...
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01/31/2021
Phase Retrieval via Polarization in Dynamical Sampling
In this paper we consider the nonlinear inverse problem of phase retriev...
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01/27/2021
Super-Resolution for Doubly-Dispersive Channel Estimation
In this work we consider the problem of identification and reconstructio...
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05/11/2020
Robust PCA via Regularized REAPER with a Matrix-Free Proximal Algorithm
Principal component analysis (PCA) is known to be sensitive to outliers,...
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07/10/2019