3 papers
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…
stat.ML2018
Distributed Nonparametric Regression under Communication Constraints
Yuancheng Zhu, John Lafferty
This paper studies the problem of nonparametric estimation of a smooth function with data distributed across multiple machines. We assume an independent sample from a white noise m…
stat.ML2016
Local Minimax Complexity of Stochastic Convex Optimization
Yuancheng Zhu, Sabyasachi Chatterjee, John Duchi +1
We extend the traditional worst-case, minimax analysis of stochastic convex optimization by introducing a localized form of minimax complexity for individual functions. Our main re…