no code implementations • 28 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.
no code implementations • 31 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.
no code implementations • NeurIPS 2021 • Bruno Loureiro, Gabriele Sicuro, Cedric Gerbelot, Alessandro Pacco, Florent Krzakala, Lenka Zdeborová
Generalised linear models for multi-class classification problems are one of the fundamental building blocks of modern machine learning tasks.
2 code implementations • 7 Jun 2021 • Bruno Loureiro, Gabriele Sicuro, Cédric Gerbelot, Alessandro Pacco, Florent Krzakala, Lenka Zdeborová
Generalised linear models for multi-class classification problems are one of the fundamental building blocks of modern machine learning tasks.
no code implementations • 4 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