Error-Aware B-PINNs: Improving Uncertainty Quantification in Bayesian
Physics-Informed Neural Networks

Error-Aware B-PINNs: Improving Uncertainty Quantification in Bayesian Physics-Informed Neural Networks

14 December 2022

Papers citing "Error-Aware B-PINNs: Improving Uncertainty Quantification in Bayesian Physics-Informed Neural Networks"

13 / 13 papers shown

Title
NeuralUQ: A comprehensive library for uncertainty quantification in neural differential equations and operators Zongren Zou Xuhui Meng Apostolos F. Psaros George Karniadakis AI4CE 73 37 0 25 Aug 2022
Evaluating Error Bound for Physics-Informed Neural Networks on Linear Dynamical Systems Shuheng Liu Xiyue Huang P. Protopapas PINN 36 5 0 03 Jul 2022
Uncertainty Quantification in Neural Differential Equations Olga Graf P. Flores P. Protopapas K. Pichara UQCV AI4CE 47 7 0 08 Nov 2021
Learning Functional Priors and Posteriors from Data and Physics Xuhui Meng Liu Yang Zhiping Mao J. Ferrandis George Karniadakis AI4CE 140 61 0 08 Jun 2021
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data Liu Yang Xuhui Meng George Karniadakis PINN 220 768 0 13 Mar 2020
Physical Symmetries Embedded in Neural Networks M. Mattheakis P. Protopapas D. Sondak Marco Di Giovanni E. Kaxiras PINN 38 71 0 18 Apr 2019
Adversarial Uncertainty Quantification in Physics-Informed Neural Networks Yibo Yang P. Perdikaris AI4CE PINN 97 356 0 09 Nov 2018
Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems Dongkun Zhang Lu Lu Ling Guo George Karniadakis UQCV 100 405 0 21 Sep 2018
Forward-Backward Stochastic Neural Networks: Deep Learning of High-dimensional Partial Differential Equations M. Raissi 87 186 0 19 Apr 2018
Solving differential equations with unknown constitutive relations as recurrent neural networks Tobias J. Hagge P. Stinis Enoch Yeung A. Tartakovsky 57 23 0 06 Oct 2017
Machine Learning of Linear Differential Equations using Gaussian Processes M. Raissi George Karniadakis 72 544 0 10 Jan 2017
Weight Uncertainty in Neural Networks Charles Blundell Julien Cornebise Koray Kavukcuoglu Daan Wierstra UQCV BDL 145 1,878 0 20 May 2015
Scalable Bayesian Optimization Using Deep Neural Networks Jasper Snoek Oren Rippel Kevin Swersky Ryan Kiros N. Satish N. Sundaram Md. Mostofa Ali Patwary P. Prabhat Ryan P. Adams BDL UQCV 81 1,041 0 19 Feb 2015