Solving Irregular and Data-enriched Differential Equations using Deep Neural Networks

10 May 2019

Papers citing "Solving Irregular and Data-enriched Differential Equations using Deep Neural Networks"

9 / 9 papers shown

Title
Data-driven discovery of PDEs in complex datasets Jens Berg K. Nystrom AI4CE PINN 43 141 0 31 Aug 2018
Survey of multifidelity methods in uncertainty propagation, inference, and optimization Benjamin Peherstorfer Karen E. Willcox M. Gunzburger AI4CE 35 747 0 28 Jun 2018
On the Spectral Bias of Neural Networks Nasim Rahaman A. Baratin Devansh Arpit Felix Dräxler Min Lin Fred Hamprecht Yoshua Bengio Aaron Courville 108 1,408 0 22 Jun 2018
Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations M. Raissi PINN AI4CE 104 751 0 20 Jan 2018
A unified deep artificial neural network approach to partial differential equations in complex geometries Jens Berg K. Nystrom AI4CE 56 583 0 17 Nov 2017
PDE-Net: Learning PDEs from Data Zichao Long Yiping Lu Xianzhong Ma Bin Dong DiffM AI4CE 34 750 0 26 Oct 2017
The Expressive Power of Neural Networks: A View from the Width Zhou Lu Hongming Pu Feicheng Wang Zhiqiang Hu Liwei Wang 86 886 0 08 Sep 2017
DGM: A deep learning algorithm for solving partial differential equations Justin A. Sirignano K. Spiliopoulos AI4CE 77 2,048 0 24 Aug 2017
Adam: A Method for Stochastic Optimization Diederik P. Kingma Jimmy Ba ODL 1.3K 149,474 0 22 Dec 2014