Numerical Gaussian Processes for Time-dependent and Non-linear Partial Differential Equations

29 March 2017

Papers citing "Numerical Gaussian Processes for Time-dependent and Non-linear Partial Differential Equations"

13 / 63 papers shown

Title
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 478 5,178 0 19 Jun 2018
Forward-Backward Stochastic Neural Networks: Deep Learning of High-dimensional Partial Differential Equations M. Raissi 116 188 0 19 Apr 2018
Enforcing constraints for interpolation and extrapolation in Generative Adversarial Networks P. Stinis Tobias J. Hagge A. Tartakovsky Enoch Yeung GAN AI4CE 77 33 0 22 Mar 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 156 266 0 04 Jan 2018
Neural network augmented inverse problems for PDEs Jens Berg K. Nystrom 94 41 0 27 Dec 2017
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 88 933 0 28 Nov 2017
Deep Learning for Physical Processes: Incorporating Prior Scientific Knowledge Emmanuel de Bézenac Arthur Pajot Patrick Gallinari PINN AI4CE 123 319 0 21 Nov 2017
Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations M. Raissi George Karniadakis AI4CE PINN 94 1,144 0 02 Aug 2017
Bayesian Probabilistic Numerical Methods Jon Cockayne Chris J. Oates T. Sullivan Mark Girolami 106 166 0 13 Feb 2017
Machine Learning of Linear Differential Equations using Gaussian Processes M. Raissi George Karniadakis 83 553 0 10 Jan 2017
Probabilistic Numerical Methods for Partial Differential Equations and Bayesian Inverse Problems Jon Cockayne Chris J. Oates T. Sullivan Mark Girolami 70 45 0 25 May 2016