activity
20202023
most citedUniform Convergence of Interpolators: Gaussian Width, Norm Bounds, and Benign Overfitting

8 citations · 18 across the 6 of their papers we have counts for

collaborators

6 papers

stat.ML2023

Uniform Convergence with Square-Root Lipschitz Loss

Lijia Zhou, Zhen Dai, Frederic Koehler +1

We establish generic uniform convergence guarantees for Gaussian data in terms of the Rademacher complexity of the hypothesis class and the Lipschitz constant of the square root of…

stat.ML2023★ 1 cited

An Agnostic View on the Cost of Overfitting in (Kernel) Ridge Regression

Lijia Zhou, James B. Simon, Gal Vardi +1

We study the cost of overfitting in noisy kernel ridge regression (KRR), which we define as the ratio between the test error of the interpolating ridgeless model and the test error…

stat.ML2022★ 2 cited

A Non-Asymptotic Moreau Envelope Theory for High-Dimensional Generalized Linear Models

Lijia Zhou, Frederic Koehler, Pragya Sur +2

We prove a new generalization bound that shows for any class of linear predictors in Gaussian space, the Rademacher complexity of the class and the training error under any continu…

stat.ML2021★ 1 cited

Optimistic Rates: A Unifying Theory for Interpolation Learning and Regularization in Linear Regression

Lijia Zhou, Frederic Koehler, Danica J. Sutherland +1

We study a localized notion of uniform convergence known as an "optimistic rate" (Panchenko 2002; Srebro et al. 2010) for linear regression with Gaussian data. Our refined analysis…

stat.ML2021★ 8 cited

Uniform Convergence of Interpolators: Gaussian Width, Norm Bounds, and Benign Overfitting

Frederic Koehler, Lijia Zhou, Danica J. Sutherland +1

We consider interpolation learning in high-dimensional linear regression with Gaussian data, and prove a generic uniform convergence guarantee on the generalization error of interp…

stat.ML2020★ 6 cited

On Uniform Convergence and Low-Norm Interpolation Learning

Lijia Zhou, Danica J. Sutherland, Nathan Srebro

We consider an underdetermined noisy linear regression model where the minimum-norm interpolating predictor is known to be consistent, and ask: can uniform convergence in a norm ba…