41 citations · 100 across the 17 of their papers we have counts for
20 papers
Well-posedness and discrete-to-continuum convergence of the Kirchhoff Network model
Joaquín Oyarzún, Marco Veneroni
In this work, we study the connection between the bidomain model of cardiac electrophysiology and the Kirchhoff Network model (KNM), that was recently introduced by Jäger and Tveit…
On the computation of the infinity Wasserstein distance and the Wasserstein Projection Problem
Gennaro Auricchio, Gabriele Loli, Marco Veneroni
Computing the infinity Wasserstein distance and retrieving projections of a probability measure onto a closed subset of probability measures are critical sub-problems in various ap…
Generalized Wasserstein Barycenters
Francesco Tornabene, Marco Veneroni, Giuseppe Savaré
We study the existence and uniqueness of the barycenter of a signed distribution of probability measures on a Hilbert space. The barycenter is found, as usual, as a minimum of a fu…
On the Structure of Optimal Transportation Plans between Discrete Measures
Gennaro Auricchio, Marco Veneroni
In this paper, we prove a structure theorem for discrete optimal transportation plans. We show that, given any pair of discrete probability measures and a cost function, there exis…
The Equivalence of Fourier-based and Wasserstein Metrics on Imaging Problems
Gennaro Auricchio, Andrea Codegoni, Stefano Gualandi +2
We investigate properties of some extensions of a class of Fourier-based probability metrics, originally introduced to study convergence to equilibrium for the solution to the spat…
Computing Kantorovich-Wasserstein Distances on -dimensional histograms using -partite graphs
Gennaro Auricchio, Federico Bassetti, Stefano Gualandi +1
This paper presents a novel method to compute the exact Kantorovich-Wasserstein distance between a pair of -dimensional histograms having bins each. We prove that this probl…