2 papers
math.ST2026
New Empirical Process Tools and Their Applications to Robust Deep ReLU Networks and Phase Transitions for Nonparametric Regression
Yizhe Ding, Runze Li, Lingzhou Xue
This paper introduces new empirical process tools for analyzing a broad class of statistical learning models under heavy-tailed noise and complex function classes. Our primary cont…
math.ST2024
Statistical Convergence Rates of Optimal Transport Map Estimation between General Distributions
Yizhe Ding, Runze Li, Lingzhou Xue
This paper studies the convergence rates of optimal transport (OT) map estimators, a topic of growing interest in statistics, machine learning, and various scientific fields. Despi…