1 citations · 2 across the 8 of their papers we have counts for
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Sharp Rates of MMD Empirical Estimation with Power Kernels
Francesco Colasanto, Matteo Focardi, Massimo Fornasier +1
We establish quantitative rates of convergence for the empirical estimation of probability measures by means of the Maximum Mean Discrepancy (MMD) with power kernel $K_q(x,y) = -|x…
Adapted Wasserstein Barycenters of Gaussian Processes
Madhu Gunasingam, Francesco Mattesini, Johannes Wiesel +1
We study barycenters of filtered Gaussian processes in adapted Wasserstein space. The adapted Wasserstein distance refines classical optimal transport by requiring transport plans…
Concentration for random Euclidean combinatorial optimization
Matteo D'Achille, Francesco Mattesini, Dario Trevisan
We prove concentration bounds for random Euclidean combinatorial optimization problems with --costs. For bipartite matching and for the (mono- and bi-partite) traveling salesper…
From Combinatorics to Partial Differential Equations
Francesco Mattesini, Felix Otto
The optimal matching of point clouds in is a combinatorial problem; applications in statistics motivate to consider random point clouds, like the Poisson point proce…
There is no stationary -cyclically monotone Poisson matching in 2D
Martin Huesmann, Francesco Mattesini, Felix Otto
We show that for there is no -cyclically monotone stationary matching of two independent Poisson processes in dimension . The proof combines the -harmonic approxim…
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem
Nicolas Clozeau, Francesco Mattesini
We study a random matching problem on closed compact -dimensional Riemannian manifolds (with respect to the squared Riemannian distance), with samples of random points whose com…
Wasserstein Asymptotics for the Empirical Measure of Fractional Brownian Motion on a Flat Torus
Martin Huesmann, Francesco Mattesini, Dario Trevisan
We establish asymptotic upper and lower bounds for the Wasserstein distance of any order between the empirical measure of a fractional Brownian motion on a flat torus and…
There is no stationary cyclically monotone Poisson matching in 2d
Martin Huesmann, Francesco Mattesini, Felix Otto
We show that there is no cyclically monotone stationary matching of two independent Poisson processes in dimension . The proof combines the harmonic approximation result from…