5 papers
SyDeBO: Symbolic-Decision-Embedded Bilevel Optimization for Long-Horizon Manipulation in Dynamic Environments
Zhigen Zhao, Ziyi Zhou, Michael Park +1
This study proposes a Task and Motion Planning (TAMP) method with symbolic decisions embedded in a bilevel optimization. This TAMP method exploits the discrete structure of sequent…
Controlling False Discovery Rate Using Gaussian Mirrors
Xin Xing, Zhigen Zhao, Jun S. Liu
Simultaneously finding multiple influential variables and controlling the false discovery rate (FDR) for linear regression models is a fundamental problem. We here propose the Gaus…
Where to find needles in a haystack?
Zhigen Zhao
In many existing methods in multiple comparison, one starts with either Fisher's p-values or the local fdr scores. The former one, with a usual definition as the tail probability e…
Global testing under the sparse alternatives for single index models
Qian Lin, Zhigen Zhao, Jun S. Liu
For the single index model with Gaussian design, %satisfying that rank where is unknown and is a sparse -dimensional unit vect…
Decision Approach and Empirical Bayes FCR-Controlling Interval for Mixed Prior Model
Zhigen Zhao
In this paper, I apply the decision theory and empirical Bayesian approach to construct confidence intervals for selected populations when true parameters follow a mixture prior di…