94 citations · 448 across the 40 of their papers we have counts for
6 papers · 1 filter
The Wasserstein distance of order 1 for quantum spin systems on infinite lattices
Giacomo De Palma, Dario Trevisan
We propose a generalization of the Wasserstein distance of order 1 to quantum spin systems on the lattice , which we call specific quantum distance. The proposa…
Optimal transport methods for combinatorial optimization over two random point sets
Michael Goldman, Dario Trevisan
We investigate the minimum cost of a wide class of combinatorial optimization problems over random bipartite geometric graphs in where the edge cost between two poin…
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…
Viscosity solutions of Hamilton-Jacobi equation in spaces and applications to large deviations
Nicola Gigli, Luca Tamanini, Dario Trevisan
The aim of this paper is twofold. - In the setting of RCD(K,) metric measure spaces, we derive uniform gradient and Laplacian contraction estimates along solutions of the v…
Quantitative Gaussian Approximation of Randomly Initialized Deep Neural Networks
Andrea Basteri, Dario Trevisan
Given any deep fully connected neural network, initialized with random Gaussian parameters, we bound from above the quadratic Wasserstein distance between its output distribution a…
Infinite multidimensional scaling for metric measure spaces
Alexey Kroshnin, Eugene Stepanov, Dario Trevisan
For a given metric measure space we consider finite samples of points, calculate the matrix of distances between them and then reconstruct the points in some finite-dimen…