585 citations · 1.7k across the 57 of their papers we have counts for
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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…
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…
Distributed Gaussian Mean Estimation under Communication Constraints: Optimal Rates and Communication-Efficient Algorithms
T. Tony Cai, Hongji Wei
We study distributed estimation of a Gaussian mean under communication constraints in a decision theoretical framework. Minimax rates of convergence, which characterize the tradeof…
Optimal Estimation of Bacterial Growth Rates Based on Permuted Monotone Matrix
Rong Ma, T. Tony Cai, Hongzhe Li
Motivated by the problem of estimating the bacterial growth rates for genome assemblies from shotgun metagenomic data, we consider the permuted monotone matrix model , wher…
Sparse Group Lasso: Optimal Sample Complexity, Convergence Rate, and Statistical Inference
T. Tony Cai, Anru R. Zhang, Yuchen Zhou
We study sparse group Lasso for high-dimensional double sparse linear regression, where the parameter of interest is simultaneously element-wise and group-wise sparse. This problem…
Asymptotic Analysis for Extreme Eigenvalues of Principal Minors of Random Matrices
T. Tony Cai, Tiefeng Jiang, Xiaoou Li
Consider a standard white Wishart matrix with parameters and . Motivated by applications in high-dimensional statistics and signal processing, we perform asymptotic analysis…