Working Seminar on HDP

Date: April 29, 2025

Time: 4:30PM - 5:30PM

Location: Bloc 302

Speaker: Gil Kur , ETH Zurich

Description: On the Role of Gaussian Covariates in Minimum Norm Interpolation. Abstract: In the literature on benign overfitting in linear models, also referred to as minimum norm interpolation, it is typically assumed that the covariates follow a Gaussian distribution. Existing proofs heavily rely on the Gaussian Minimax Theorem (GMT), making them inapplicable to other distributions in the linear setting. In our work, we are the first to establish matching rates for sub-Gaussian covariates in $\ell_p$-linear regression through a novel approach inspired by modern functional analysis. In this talk, we provide an overview of this proof and explore the role of Gaussian covariates in benign overfitting from a purely geometric perspective.