Search Results for author: Gabriele Sicuro

Found 5 papers, 1 papers with code

High-dimensional robust regression under heavy-tailed data: Asymptotics and Universality

no code implementations28 Sep 2023 Urte Adomaityte, Leonardo Defilippis, Bruno Loureiro, Gabriele Sicuro

In particular, we provide a sharp asymptotic characterisation of M-estimators trained on a family of elliptical covariate and noise data distributions including cases where second and higher moments do not exist.

regression

Fluctuations, Bias, Variance & Ensemble of Learners: Exact Asymptotics for Convex Losses in High-Dimension

no code implementations31 Jan 2022 Bruno Loureiro, Cédric Gerbelot, Maria Refinetti, Gabriele Sicuro, Florent Krzakala

From the sampling of data to the initialisation of parameters, randomness is ubiquitous in modern Machine Learning practice.

Random assignment problems on ${2d}$ manifolds

no code implementations4 Aug 2020 Dario Benedetto, Emanuele Caglioti, Sergio Caracciolo, Matteo D'Achille, Gabriele Sicuro, Andrea Sportiello

In this paper, we show that, within the linearization approximation of the field-theoretical formulation of the problem, the first $\Omega$-dependent correction is on the constant term, and can be exactly computed from the spectrum of the Laplace--Beltrami operator on $\Omega$.

Mathematical Physics Disordered Systems and Neural Networks Mathematical Physics Probability

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