169 citations · 182 across the 16 of their papers we have counts for
19 papers
Essential spectrum for the Laplacian
Lorenzo Brasco, Luca Briani, Giovanni Franzina
We introduce a variational notion of essential spectrum for the Dirichlet Laplacian. We then extend the classical Persson Theorem to this nonlinear setting. This result provide…
Posterior Bayesian Neural Networks with Dependent Weights
Nicola Apollonio, Giovanni Franzina, Giovanni Luca Torrisi
We consider fully connected and feedforward deep neural networks with dependent and possibly heavy-tailed weights, as introduced in [26], to address limitations of the standard Gau…
Numerical computation of generalized Wasserstein distances with applications to traffic model analysis
Maya Briani, Emiliano Cristiani, Giovanni Franzina +1
Generalized Wasserstein distances allow to quantitatively compare two continuous or atomic mass distributions with equal or different total mass. In this paper, we propose four num…
Boundary vorticity of incompressible 2D flows
Giovanni Franzina
For a homogeneous incompressible 2D fluid confined within a bounded Lipschitz simply connected domain, homogeneous Neumann pressure boundary conditions are equivalent to a constant…
An overdetermined problem in 2D linearised hydrostatics
Giovanni Franzina
In two spatial dimensions, we discuss the relation between the solvability of Schiffer's overdetermined problem and the optimality, among sets of prescribed area, of the first eige…
Normal approximation of Random Gaussian Neural Networks
Nicola Apollonio, Daniela De Canditiis, Giovanni Franzina +2
In this paper we provide explicit upper bounds on some distances between the (law of the) output of a random Gaussian NN and (the law of) a random Gaussian vector. Our results conc…