From the 1 of 5 linked papers with an AI index.
5 papers
Adapted Wasserstein Barycenters of Gaussian Processes
Madhu Gunasingam, Francesco Mattesini, Johannes Wiesel +1
The paper investigates how to compute barycenters of filtered Gaussian processes using the adapted Wasserstein distance, providing existence results, decomposition into classical B…
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…
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…
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…