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.
1 code implementation • 12 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.