Deep Surrogate Accelerated Delayed-Acceptance Hamiltonian Monte Carlo for Bayesian Inference of Spatio-Temporal Heat Fluxes in Rotating Disc Systems

Use of Bayesian statistics to calculate transient heat fluxes on compressor disks

(2022) Hui Tang et al.   PHYSICS OF FLUIDS

B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data

(2020) Liu Yang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data

(2019) Yinhao Zhu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

DGM: A deep learning algorithm for solving partial differential equations

(2018) Justin Sirignano et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Adaptive Construction of Surrogates for the Bayesian Solution of Inverse Problems

(2014) Jinglai Li et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A tutorial on adaptive MCMC

(2008) Christophe Andrieu et al.   STATISTICS AND COMPUTING