81 citations · 91 across the 15 of their papers we have counts for
5 papers · 1 filter
Beyond Modern Asymptotics for Log-Likelihood Ratios in Logistic Regression
Hugo Chardon, Reese Pathak, Nikita Zhivotovskiy
We characterize the finite sample behavior of the log-likelihood ratio statistic in binary logistic regression, uniformly over both the design and the target parameter. For $n\geq…
Optimal mean width and metric entropy estimates for convex bodies
Grigoris Paouris, Reese Pathak
We show that there exists a constant such that for any and any convex body , \[ 1 \leq \inf_{T \in \mathrm{GL}(n)} \, \frac{M^\ast(TK)}{\…
Minimum Norm Interpolation via The Local Theory of Banach Spaces: The Role of Gaussianity
Gil Kur, Reese Pathak
We study minimum-norm interpolation (MNI) in overparameterized linear regression with isotropic Gaussian covariates, in settings where the MNI has no closed-form formula. Whereas m…
On the metric projection onto a convex set: reverse Hölder inequalities and upper bounds
Reese Pathak
We study the -norm of the metric projection onto a closed, convex set when is the uniform measure on the sphere or the standard Gaussian measur…
A remark on the majorizing measures theorem for general processes
Reese Pathak, Nikita Zhivotovskiy
We show that the lower bound in the majorizing measures theorem holds for a large class of random vectors. Specifically, suppose is a centered random vector in $\mathbf{…