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math.PR2026
The Critical Patch Size Problem in Random Graphs
Nicola Apollonio, Veronica Tora, Davide Vergni
The problem of {\it critical patch size} -- a threshold condition for population persistence -- is investigated in the context of discrete habitats, modeled as graphs with a distin…
math.PR2023
Cantelli's bounds for generalized tail inequalities in Euclidean spaces
Nicola Apollonio
Let be a centered random vector in a finite dimensional real inner product space . For a subset of the ambient vector space of and $x,\,y\in…
math.PR2023
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…