4 papers · 1 filter
A Caveat on Metrizing Convergence in Distribution on Hilbert Spaces
Federico Bassetti, Solesne Bourguin, Simon Campese +1
We consider Sobolev-type distances on probability measures over separable Hilbert spaces involving the Schatten- norms, which include as special cases a distance first introduce…
On irreducible central limit theorems
Francesco Caravenna, Francesca Cottini, Giovanni Peccati
We consider sequences of homogeneous sums based on independent random variables and satisfying a central limit theorem (CLT). We address the following question: "In which cases is…
Entropic bounds for conditionally Gaussian vectors and applications to neural networks
Lucia Celli, Giovanni Peccati
Using entropic inequalities from information theory, we provide new bounds on the total variation and 2-Wasserstein distances between a conditionally Gaussian law and a Gaussian la…
The Poisson Multiplication Formula
Lorenzo Cristofaro, Giovanni Peccati
We establish necessary and sufficient conditions implying that the product of Poisson functionals, living in a finite sum of Wiener chaoses, is square-integrable. Our con…