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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.ST2015★ 1 cited
Optimal Estimation of A Quadratic Functional and Detection of Simultaneous Signals
T. Tony Cai, Xin Lu Tan
Motivated by applications in genomics, this paper studies the problem of optimal estimation of a quadratic functional of two normal mean vectors, $Q(μ, θ) = \frac{1}{n}\sum_{i=1}^n…