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math.ST2024
Federated PCA and Estimation for Spiked Covariance Matrices: Optimal Rates and Efficient Algorithm
Jingyang Li, T. Tony Cai, Dong Xia +1
Federated Learning (FL) has gained significant recent attention in machine learning for its enhanced privacy and data security, making it indispensable in fields such as healthcare…
math.ST2024
Online Quantile Regression
Yinan Shen, Dong Xia, Wen-Xin Zhou
This paper addresses the challenge of integrating sequentially arriving data within the quantile regression framework, where the number of features is allowed to grow with the numb…
math.ST2024★ 1 cited
Optimal Differentially Private PCA and Estimation for Spiked Covariance Matrices
T. Tony Cai, Dong Xia, Mengyue Zha
Estimating a covariance matrix and its associated principal components is a fundamental problem in contemporary statistics. While optimal estimation procedures have been developed…