4 papers
Regularization Using Synthetic Data for High-Dimensional Inference
Weihao Li, Dongming Huang
To address the challenges of obtaining reliable inference in high-dimensional models, we introduce the Synthetic-data Regularized Estimator (SRE). Unlike traditional regularization…
Testing Multivariate Conditional Independence Using Exchangeable Sampling and Sufficient Statistics
Xiaotong Lin, Jie Xie, Fangqiao Tian +1
We consider testing multivariate conditional independence between a response Y and a covariate vector X given additional variables Z. We introduce the Multivariate Sufficient Stati…
Goodness-of-Fit Tests for High-Dimensional Gaussian Graphical Models via Exchangeable Sampling
Xiaotong Lin, Weihao Li, Fangqiao Tian +1
We introduce a general framework for testing goodness-of-fit for Gaussian graphical models in both the low- and high-dimensional settings. This framework is based on a novel algori…
Bayesian inference on Cox regression models using catalytic prior distributions
Weihao Li, Dongming Huang
The Cox proportional hazards model (Cox model) is a popular model for survival data analysis. When the sample size is small relative to the dimension of the model, the standard max…