139 citations · 725 across the 72 of their papers we have counts for
8 papers · 1 filter
Optimal Bayesian estimation in random covariate design with a rescaled Gaussian process prior
Debdeep Pati, Anirban Bhattacharya, Guang Cheng
In Bayesian nonparametric models, Gaussian processes provide a popular prior choice for regression function estimation. Existing literature on the theoretical investigation of the…
Gaussian Approximation of General Nonparametric Posterior Distributions
Zuofeng Shang, Guang Cheng
In a general class of Bayesian nonparametric models, we prove that the posterior distribution can be asymptotically approximated by a Gaussian process. Our results apply to nonpara…
A Partially Linear Framework for Massive Heterogeneous Data
Tianqi Zhao, Guang Cheng, Han Liu
We consider a partially linear framework for modelling massive heterogeneous data. The major goal is to extract common features across all sub-populations while exploring heterogen…
Bootstrapping High Dimensional Time Series
Xianyang Zhang, Guang Cheng
This article studies bootstrap inference for high dimensional weakly dependent time series in a general framework of approximately linear statistics. The following high dimensional…
Nonparametric inference in generalized functional linear models
Zuofeng Shang, Guang Cheng
We propose a roughness regularization approach in making nonparametric inference for generalized functional linear models. In a reproducing kernel Hilbert space framework, we const…
Stabilized Nearest Neighbor Classifier and Its Statistical Properties
Wei Sun, Xingye Qiao, Guang Cheng
The stability of statistical analysis is an important indicator for reproducibility, which is one main principle of scientific method. It entails that similar statistical conclusio…