116 citations · 305 across the 40 of their papers we have counts for
6 papers · 1 filter
Bayesian optimization with local search
Yuzhou Gao, Tengchao Yu, Jinglai Li
Global optimization finds applications in a wide range of real world problems. The multi-start methods are a popular class of global optimization techniques, which are based on the…
Maximum conditional entropy Hamiltonian Monte Carlo sampler
Tengchao Yu, Hongqiao Wang, Jinglai Li
The performance of Hamiltonian Monte Carlo (HMC) sampler depends critically on some algorithm parameters such as the total integration time and the numerical integration stepsize.…
A hierarchical neural hybrid method for failure probability estimation
Ke Li, Kejun Tang, Jinglai Li +2
Failure probability evaluation for complex physical and engineering systems governed by partial differential equations (PDEs) are computationally intensive, especially when high-di…
Bayesian inverse regression for dimension reduction with small datasets
Xin Cai, Guang Lin, Jinglai Li
We consider supervised dimension reduction problems, namely to identify a low dimensional projection of the predictors $\-x$ which can retain the statistical relationship between $…
Bayesian inference and uncertainty quantification for image reconstruction with Poisson data
Qingping Zhou, Tengchao Yu, Xiaoqun Zhang +1
We provide a complete framework for performing infinite-dimensional Bayesian inference and uncertainty quantification for image reconstruction with Poisson data. In particular, we…
NLTG Priors in Medical Image: Nonlocal TV-Gaussian (NLTG) prior for Bayesian inverse problems with applications to Limited CT Reconstruction
Didi Lv, Qingping Zhou, Jae Kyu Choi +2
Bayesian inference methods have been widely applied in inverse problems, {largely due to their ability to characterize the uncertainty associated with the estimation results.} {In…