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math.ST2020
Optimal Structured Principal Subspace Estimation: Metric Entropy and Minimax Rates
T. Tony Cai, Hongzhe Li, Rong Ma
Driven by a wide range of applications, many principal subspace estimation problems have been studied individually under different structural constraints. This paper presents a uni…
math.ST2019
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
Optimal Permutation Recovery in Permuted Monotone Matrix Model
Rong Ma, T. Tony Cai, Hongzhe Li
Motivated by recent research on quantifying bacterial growth dynamics based on genome assemblies, we consider a permuted monotone matrix model , where the rows represent di…