3 papers
stat.ML2026
Optimal Non-Asymptotic Edgeworth Expansions for Multivariate Neural Network Outputs
Lucia Celli
Finite-width fully connected neural networks with Gaussian-initialized weights deviate from their infinite-width Gaussian limit, exhibiting non-vanishing higher-order cumulants. We…
math.PR2026
Wide neural networks with general weights: convergence rate and explicit dependence on the hyper-parameters
Lucia Celli
Using Stein's method techniques introduced by Chatterjee (2008) and further extended by Kasprzak and Peccati (2022) and by Lachièze-Rey and Peccati (2017), we derive novel quantit…
math.PR2025
Entropic bounds for conditionally Gaussian vectors and applications to neural networks
Lucia Celli, Giovanni Peccati
Using entropic inequalities from information theory, we provide new bounds on the total variation and 2-Wasserstein distances between a conditionally Gaussian law and a Gaussian la…