Benign overfitting beyond prediction: The ordinary least squares interpolator
A new research paper explores the phenomenon of benign overfitting in overparameterized statistical models, focusing on the ordinary least squares (OLS) interpolator. The study derives new algebraic and statistical results for the minimum $\ell_2$-norm OLS interpolator, shifting the focus from prediction risk to parameter estimation and inference. Key contributions include overparameterized analogues of established statistical formulas and an analysis of variance estimation, providing a framework for understanding parameter estimation in overparameterized linear models. AI
IMPACT Provides a theoretical framework for understanding overparameterized models, potentially informing future AI development.