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math.ST2025
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…
stat.ME2025
Strongly Consistent Community Detection in Popularity Adjusted Block Models
Quan Yuan, Binghui Liu, Danning Li +1
The Popularity Adjusted Block Model (PABM) provides a flexible framework for community detection in network data by allowing heterogeneous node popularity across communities. Howev…
stat.ME2025
Statistical Inference for High-Dimensional Robust Linear Regression Models via Recursive Online-Score Estimation
Dian Zheng, Lingzhou Xue
This paper introduces a novel framework for estimation and inference in penalized M-estimators applied to robust high-dimensional linear regression models. Traditional methods for…