Hidden Physics Models: Machine Learning of Nonlinear Partial
Differential Equations

v1v2 (latest)

Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations

2 August 2017

George Karniadakis

ArXiv (abs)PDF HTML

Papers citing "Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations"

18 / 318 papers shown

Title
Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems Dongkun Zhang Lu Lu Ling Guo George Karniadakis UQCV 124 414 0 21 Sep 2018
Data-driven discovery of PDEs in complex datasets Jens Berg K. Nystrom AI4CE PINN 82 141 0 31 Aug 2018
Deep Learning of Vortex Induced Vibrations M. Raissi Zhicheng Wang M. Triantafyllou George Karniadakis AI4CE 81 378 0 26 Aug 2018
Hidden Fluid Mechanics: A Navier-Stokes Informed Deep Learning Framework for Assimilating Flow Visualization Data M. Raissi A. Yazdani George Karniadakis AI4CE PINN 99 161 0 13 Aug 2018
Machine Learning of Space-Fractional Differential Equations Mamikon A. Gulian M. Raissi P. Perdikaris George Karniadakis 109 47 0 02 Aug 2018
Discovering physical concepts with neural networks Raban Iten Tony Metger H. Wilming L. D. Rio R. Renner PINN AI4CE 112 391 0 26 Jul 2018
A machine learning framework for data driven acceleration of computations of differential equations Siddhartha Mishra AI4CE 68 87 0 25 Jul 2018
Weakly-Supervised Deep Learning of Heat Transport via Physics Informed Loss Rishi Sharma A. Farimani Joseph Gomes Peter K. Eastman Vijay S. Pande AI4CE 59 60 0 24 Jul 2018
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 484 5,178 0 19 Jun 2018
Optimal Neural Network Feature Selection for Spatial-Temporal Forecasting E. Covas Emmanouil Benetos AI4TS 31 8 0 30 Apr 2018
Forward-Backward Stochastic Neural Networks: Deep Learning of High-dimensional Partial Differential Equations M. Raissi 116 188 0 19 Apr 2018
Physics-constrained, data-driven discovery of coarse-grained dynamics L. Felsberger P. Koutsourelakis AI4CE 71 19 0 11 Feb 2018
Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations M. Raissi PINN AI4CE 130 758 0 20 Jan 2018
Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems M. Raissi P. Perdikaris George Karniadakis PINN 158 266 0 04 Jan 2018
Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis PINN AI4CE 101 615 0 28 Nov 2017
Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis PINN AI4CE 95 933 0 28 Nov 2017
Bayesian model and dimension reduction for uncertainty propagation: applications in random media Constantin Grigo P. Koutsourelakis 83 31 0 07 Nov 2017
PDE-Net: Learning PDEs from Data Zichao Long Yiping Lu Xianzhong Ma Bin Dong DiffM AI4CE 90 761 0 26 Oct 2017