3 papers
math.ST2026
Network inference for SDEs with diverging dimension under small noise
Francesco Iafrate, Nakahiro Yoshida, Stefano M. Iacus
We consider inference for network stochastic differential equations in a small-noise, high-dimensional regime, where the diffusion coefficient vanishes with $\ep\to0$ while the net…
math.ST2025
Neural Drift Estimation for Ergodic Diffusions: Non-parametric Analysis and Numerical Exploration
Simone Di Gregorio, Francesco Iafrate
We take into consideration generalization bounds for the problem of the estimation of the drift component for ergodic stochastic differential equations, when the estimator is a ReL…
stat.ME2024
Ergodic Network Stochastic Differential Equations
Francesco Iafrate, Stefano Iacus
We propose a novel framework for Network Stochastic Differential Equations (N-SDE), where each node in a network is governed by an SDE influenced by interactions with its neighbors…