26 citations · 62 across the 9 of their papers we have counts for
11 papers
Large deviation principles for convolutional Bayesian neural networks
Federico Bassetti, Vassili De Palma, Lucia Ladelli
While suitably scaled CNNs with Gaussian initialization are known to converge to Gaussian processes as the number of channels diverges, little is known beyond this Gaussian limit.…
Proportional infinite-width infinite-depth limit for deep linear neural networks
Federico Bassetti, Lucia Ladelli, Pietro Rotondo
We study the distributional properties of linear neural networks with random parameters in the context of large networks, where the number of layers diverges in proportion to the n…
Clustering structure for species sampling sequences with general base measure
Federico Bassetti, Lucia Ladelli
We investigate the clustering structure of species sampling sequences , with general base measure. Such sequences are exchangeable with a species sampling random probabili…
Infinite energy solutions to inelastic homogeneous Boltzmann equation
Federico Bassetti, Lucia Ladelli, Daniel Matthes
This paper is concerned with the existence, shape and dynamical stability of infinite-energy equilibria for a general class of spatially homogeneous kinetic equations in space dime…
Bayesian estimation for a parametric Markov Renewal model applied to seismic data
I. Epifani, L. Ladelli, A. Pievatolo
This paper presents a complete methodology for Bayesian inference on a semi-Markov process, from the elicitation of the prior distribution, to the computation of posterior summarie…
Large Deviations for the solution of a Kac-type kinetic equation
Federico Bassetti, Lucia Ladelli
The aim of this paper is to study large deviations for the self-similar solution of a Kac-type kinetic equation. Under the assumption that the initial condition belongs to the doma…