114 citations · 979 across the 103 of their papers we have counts for
116 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…
Functional Scaling Limits of Interpolated Correlated Random Walks in Hölder Topology
Felix Benning, Ivan Nourdin
We prove functional scaling limits for interpolated random walks whose increments are functions of a stationary Gaussian sequence. In this setting, the classical Dobrushin-Major-Ta…
Malliavin calculus and densities for chaos-driven stochastic differential equations
Laurent Loosveldt, Yassine Nachit, Ivan Nourdin
We study stochastic differential equations driven by finite-order chaos processes on abstract Wiener spaces, with pathwise Riemann-Stieltjes integration. The driving noise is an $\…
Limit theorems for anisotropic functionals of stationary Gaussian fields with Gneiting covariance function
Nikolai Leonenko, Leonardo Maini, Ivan Nourdin +1
We study non-linear additive functionals of stationary Gaussian fields over anisotropically growing domains in , including spatiotemporal settings, and establish Gaus…
Malliavin smoothness of the Rosenblatt process
Laurent Loosveldt, Yassine Nachit, Ivan Nourdin +1
We investigate the smoothness of the densities of the finite-dimensional distributions of the Rosenblatt process. Within the Malliavin calculus framework, we prove that Rosenblatt…
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…