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math.ST2026
Empirical Bayes for correlated Gaussian sequence model
Qiyang Han, Cun-Hui Zhang
Empirical Bayes methods are among the most widely used statistical methods for large-scale inference. A central paradigm is the NPMLE, whose theoretical guarantees are by now well…
math.ST2024★ 1 cited
UCB algorithms for multi-armed bandits: Precise regret and adaptive inference
Qiyang Han, Koulik Khamaru, Cun-Hui Zhang
Upper Confidence Bound (UCB) algorithms are a widely-used class of sequential algorithms for the -armed bandit problem. Despite extensive research over the past decades aimed at…
math.ST2023
Statistical Limits of Adaptive Linear Models: Low-Dimensional Estimation and Inference
Licong Lin, Mufang Ying, Suvrojit Ghosh +2
Estimation and inference in statistics pose significant challenges when data are collected adaptively. Even in linear models, the Ordinary Least Squares (OLS) estimator may fail to…