29 citations · 57 across the 8 of their papers we have counts for
Showing math.STShow all
3 papers · 1 filter
math.ST2023
Estimation and inference for minimizer and minimum of convex functions: optimality, adaptivity and uncertainty principles
T. Tony Cai, Ran Chen, Yuancheng Zhu
Optimal estimation and inference for both the minimizer and minimum of a convex regression function under the white noise and nonparametric regression models are studied in a nonas…
math.ST2015★ 1 cited
Quantized Nonparametric Estimation over Sobolev Ellipsoids
Yuancheng Zhu, John Lafferty
We formulate the notion of minimax estimation under storage or communication constraints, and prove an extension to Pinsker's theorem for nonparametric estimation over Sobolev elli…
math.ST2014★ 5 cited
Quantized Estimation of Gaussian Sequence Models in Euclidean Balls
Yuancheng Zhu, John Lafferty
A central result in statistical theory is Pinsker's theorem, which characterizes the minimax rate in the normal means model of nonparametric estimation. In this paper, we present a…