186 citations · 711 across the 31 of their papers we have counts for
4 papers · 1 filter
A variational neural network approach for glacier modelling with nonlinear rheology
Tiangang Cui, Zhongjian Wang, Zhiwen Zhang
In this paper, we propose a mesh-free method to solve full stokes equation which models the glacier movement with nonlinear rheology. Our approach is inspired by the Deep-Ritz meth…
Deep importance sampling using tensor trains with application to a priori and a posteriori rare event estimation
Tiangang Cui, Sergey Dolgov, Robert Scheichl
We propose a deep importance sampling method that is suitable for estimating rare event probabilities in high-dimensional problems. We approximate the optimal importance distributi…
Convergence Speed and Approximation Accuracy of Numerical MCMC
Tiangang Cui, Jing Dong, Ajay Jasra +1
When implementing Markov Chain Monte Carlo (MCMC) algorithms, perturbation caused by numerical errors is sometimes inevitable. This paper studies how perturbation of MCMC affects t…
Prior normalization for certified likelihood-informed subspace detection of Bayesian inverse problems
Tiangang Cui, Xin Tong, Olivier Zahm
Markov chain Monte Carlo (MCMC) methods form one of the algorithmic foundations of Bayesian inverse problems. The recent development of likelihood-informed subspace (LIS) methods o…