2 citations · 2 across the 2 of their papers we have counts for
5 papers
An Integer Linear Programming Model for Tilings
Gennaro Auricchio, Luca Ferrarini, Greta Lanzarotto
In this paper, we propose an Integer Linear Model whose solutions are the aperiodic rhythms tiling with a given rhythm A. We show how this model can be used to efficiently check th…
On the Pythagorean Structure of the Optimal Transport for Separable Cost Functions
Gennaro Auricchio
In this paper, we study the optimal transport problem induced by separable cost functions. In this framework, transportation can be expressed as the composition of two lower-dimens…
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…