4 papers
Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations
Lucio Galeati, Filippo Giovagnini, Massimo Sorella
We prove the lack of selection in the zero-noise limit for solutions to SDEs driven by a divergence-free, Hölder continuous vector field with exponent , arbitrarily clos…
Universality in Deep Neural Networks: An approach via the Lindeberg exchange principle
Filippo Giovagnini, Sotirios Kotitsas, Marco Romito
We consider the infinite-width limit of a fully connected deep neural network with general weights, and we prove quantitative general bounds on the -Wasserstein distance between…
A uniform particle approximation to the Navier-Stokes-alpha models in three dimensions with advection noise
Filippo Giovagnini, Dan Crisan
In this work, we investigate a system of interacting particles governed by a set of stochastic differential equations. Our main goal is to rigorously demonstrate that the empirical…
A uniform point vortex approximation for the solution of the two-dimensional Navier Stokes equation with transport noise
Filippo Giovagnini, Dan Crisan
We study a model of interacting particles represented by a system of N stochastic differential equations. We establish that the mollified empirical distribution of the system conve…