10 citations · 26 across the 17 of their papers we have counts for
4 papers · 1 filter
Infinite-color randomly reinforced urns with dominant colors
Hristo Sariev, Sandra Fortini, Sonia Petrone
We define and prove limit results for a class of dominant Pólya sequences, which are randomly reinforced urn processes with color-specific random weights and unbounded number of po…
Large-width functional asymptotics for deep Gaussian neural networks
Daniele Bracale, Stefano Favaro, Sandra Fortini +1
In this paper, we consider fully connected feed-forward deep neural networks where weights and biases are independent and identically distributed according to Gaussian distribution…
On a notion of partially conditionally identically distributed sequences
Sandra Fortini, Sonia Petrone, Polina Sporysheva
A notion of conditionally identically distributed (c.i.d.) sequences has been studied as a form of stochastic dependence that is weaker than exchangeability, but is equivalent to e…
Central Limit Theorem with Exchangeable Summands and Mixtures of Stable Laws as Limits
Sandra Fortini, Lucia Ladelli, Eugenio Regazzini
The problem of convergence in law of normed sums of exchangeable random variables is examined. First, the problem is studied w.r.t. arrays of exchangeable random variables, and the…