585 citations · 1.7k across the 57 of their papers we have counts for
57 papers
Score Attack: A Lower Bound Technique for Optimal Differentially Private Learning
T. Tony Cai, Yichen Wang, Linjun Zhang
Achieving optimal statistical performance while ensuring the privacy of personal data is a challenging yet crucial objective in modern data analysis. However, characterizing the op…
SIHR: Statistical Inference in High-Dimensional Linear and Logistic Regression Models
Prabrisha Rakshit, Zhenyu Wang, T. Tony Cai +1
We introduce the R package \CRANpkg{SIHR} for statistical inference in high-dimensional generalized linear models with continuous and binary outcomes. The package provides function…
Theoretical Foundations of t-SNE for Visualizing High-Dimensional Clustered Data
T. Tony Cai, Rong Ma
This paper investigates the theoretical foundations of the t-distributed stochastic neighbor embedding (t-SNE) algorithm, a popular nonlinear dimension reduction and data visualiza…
The Cost of Privacy in Generalized Linear Models: Algorithms and Minimax Lower Bounds
T. Tony Cai, Yichen Wang, Linjun Zhang
We propose differentially private algorithms for parameter estimation in both low-dimensional and high-dimensional sparse generalized linear models (GLMs) by constructing private v…
Transfer Learning in Large-scale Gaussian Graphical Models with False Discovery Rate Control
Sai Li, T. Tony Cai, Hongzhe Li
Transfer learning for high-dimensional Gaussian graphical models (GGMs) is studied with the goal of estimating the target GGM by utilizing the data from similar and related auxilia…
On the Non-Asymptotic Concentration of Heteroskedastic Wishart-type Matrix
T. Tony Cai, Rungang Han, Anru R. Zhang
This paper focuses on the non-asymptotic concentration of the heteroskedastic Wishart-type matrices. Suppose is a -by- random matrix and i…