Search Results for author: Gennaro Auricchio

Found 3 papers, 1 papers with code

The Equivalence of Fourier-based and Wasserstein Metrics on Imaging Problems

no code implementations13 May 2020 Gennaro Auricchio, Andrea Codegoni, Stefano Gualandi, Giuseppe Toscani, Marco Veneroni

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 spatially homogeneous Boltzmann equation.

Computing Kantorovich-Wasserstein Distances on d-dimensional histograms using (d+1)-partite graphs

no code implementations NeurIPS 2018 Gennaro Auricchio, Federico Bassetti, Stefano Gualandi, Marco Veneroni

This paper presents a novel method to compute the exact Kantorovich-Wasserstein distance between a pair of $d$-dimensional histograms having $n$ bins each.

Computing Kantorovich-Wasserstein Distances on $d$-dimensional histograms using $(d+1)$-partite graphs

1 code implementation NeurIPS 2018 Gennaro Auricchio, Federico Bassetti, Stefano Gualandi, Marco Veneroni

This paper presents a novel method to compute the exact Kantorovich-Wasserstein distance between a pair of $d$-dimensional histograms having $n$ bins each.

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