1 citations · 2 across the 4 of their papers we have counts for
4 papers
Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation
Tiangang Cui, Josef Dick, Friedrich Pillichshammer
We study numerical integration over bounded regions in with respect to some probability measure. We replace random sampling with quasi-Monte Carlo methods, wh…
Self-reinforced polynomial approximation methods for concentrated probability densities
Tiangang Cui, Sergey Dolgov, Olivier Zahm
Transport map methods offer a powerful statistical learning tool that can couple a target high-dimensional random variable with some reference random variable using invertible tran…
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…
Bayesian inverse problems with priors: a Randomize-then-Optimize approach
Zheng Wang, Johnathan M. Bardsley, Antti Solonen +2
Prior distributions for Bayesian inference that rely on the -norm of the parameters are of considerable interest, in part because they promote parameter fields with less regul…