Search Results for author: Urte Adomaityte

Found 2 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

Unveiling the Hessian's Connection to the Decision Boundary

1 code implementation12 Jun 2023 Mahalakshmi Sabanayagam, Freya Behrens, Urte Adomaityte, Anna Dawid

Based on this finding, we provide a new and straightforward approach to studying the complexity of a high-dimensional decision boundary; show that this connection naturally inspires a new generalization measure; and finally, we develop a novel margin estimation technique which, in combination with the generalization measure, precisely identifies minima with simple wide-margin boundaries.

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