3 papers
math.ST2020
Statistical Analysis of Multi-Relational Network Recovery
Zhi Wang, Xueying Tang, Jingchen Liu
In this paper, we develop asymptotic theories for a class of latent variable models for large-scale multi-relational networks. In particular, we establish consistency results and a…
math.PR2017
Moderate Deviation for Random Elliptic PDEs with Small Noise
Xiaoou Li, Jingchen Liu, Jianfeng Lu +1
Partial differential equations with random inputs have become popular models to characterize physical systems with uncertainty coming from, e.g., imprecise measurement and intrinsi…
math.PR2016
A Multilevel Approach towards Unbiased Sampling of Random Elliptic Partial Differential Equations
Xiaoou Li, Jingchen Liu
Partial differential equation is a powerful tool to characterize various physics systems. In practice, measurement errors are often present and probability models are employed to a…