Search Results for author: Leonardo Defilippis

Found 3 papers, 1 papers with code

Fundamental limits of weak learnability in high-dimensional multi-index models

1 code implementation24 May 2024 Emanuele Troiani, Yatin Dandi, Leonardo Defilippis, Lenka Zdeborová, Bruno Loureiro, Florent Krzakala

Multi-index models -- functions which only depend on the covariates through a non-linear transformation of their projection on a subspace -- are a useful benchmark for investigating feature learning with neural networks.

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

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