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math.ST2019★ 8 cited
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…
math.ST2019★ 1 cited
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…
math.ST2019
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…