461 citations · 1.3k across the 94 of their papers we have counts for
107 papers
Correlated initialization of deep residual networks
Felix Benning, Ivan Nourdin, Giovanni Peccati
We study the large-depth behavior of residual networks whose weights are correlated across layers at initialization. Our results confirm and extend a conjecture of Marion et al. [2…
Optimal local central limit theorems on Wiener chaos
Masahisa Ebina, Ivan Nourdin, Giovanni Peccati
This paper investigates a local central limit theorem for a normalized sequence of random variables belonging to a fixed order Wiener chaos and converging to the standard normal di…
Quantitative CLTs in Deep Neural Networks
Stefano Favaro, Boris Hanin, Domenico Marinucci +2
We study the distribution of a fully connected neural network with random Gaussian weights and biases in which the hidden layer widths are proportional to a large constant . Und…
Nonlinear Functionals of Hyperbolic Random Waves: the Wiener Chaos Approach
Francesco Grotto, Giovanni Peccati
We consider Gaussian random waves on hyperbolic spaces and establish variance asymptotics and central limit theorems for a large class of their integral functionals, both in the hi…
Functional Convergence of Berry's Nodal Lengths: Approximate Tightness and Total Disorder
Massimo Notarnicola, Giovanni Peccati, Anna Vidotto
We consider Berry's random planar wave model (1977), and prove spatial functional limit theorems - in the high-energy limit - for discretized and truncated versions of the random f…
Vector-valued statistics of binomial processes: Berry-Esseen bounds in the convex distance
Mikołaj J. Kasprzak, Giovanni Peccati
We study the discrepancy between the distribution of a vector-valued functional of i.i.d. random elements and that of a Gaussian vector. Our main contribution is an explicit bound…