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math.ST2026
The Cost of Discretization in Functional Linear Regression: Minimax Rates and Adaptation
T. Tony Cai, Yicheng Li
We study scalar-on-function linear regression when each covariate curve is observed only through finitely many noisy point evaluations. Our goal is to characterize the minimax esti…
math.ST2026
Minimax and Adaptive Covariance Matrix Estimation under Differential Privacy
T. Tony Cai, Yicheng Li
Estimating covariance matrices is fundamental to a wide range of statistical applications. This paper studies minimax and adaptive estimation of high-dimensional covariance matrice…