8 citations · 10 across the 2 of their papers we have counts for
7 papers
The Gene Mover's Distance: Single-cell similarity via Optimal Transport
Riccardo Bellazzi, Andrea Codegoni, Stefano Gualandi +2
This paper introduces the Gene Mover's Distance, a measure of similarity between a pair of cells based on their gene expression profiles obtained via single-cell RNA sequencing. Th…
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…
Human Behavior And Lognormal Distribution. A Kinetic Description
Stefano Gualandi, Giuseppe Toscani
In recent years it has been increasing evidence that lognormal distributions are widespread in physical and biological sciences, as well as in various phenomena of economics and so…
The size distribution of cities: a kinetic explanation
Stefano Gualandi, Giuseppe Toscani
We present a kinetic approach to the formation of urban agglomerations which is based on simple rules of immigration and emigration. In most cases, the Boltzmann-type kinetic descr…
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…
On the Computation of Kantorovich-Wasserstein Distances between 2D-Histograms by Uncapacitated Minimum Cost Flows
Federico Bassetti, Stefano Gualandi, Marco Veneroni
In this work, we present a method to compute the Kantorovich-Wasserstein distance of order one between a pair of two-dimensional histograms. Recent works in Computer Vision and Mac…