On Theory-training Neural Networks to Infer the Solution of Highly
Coupled Differential Equations

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On Theory-training Neural Networks to Infer the Solution of Highly Coupled Differential Equations

9 February 2021

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Papers citing "On Theory-training Neural Networks to Infer the Solution of Highly Coupled Differential Equations"

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Title
A deep learning framework for solution and discovery in solid mechanics E. Haghighat M. Raissi A. Moure H. Gómez R. Juanes AI4CE PINN 82 57 0 14 Feb 2020
Deep Double Descent: Where Bigger Models and More Data Hurt Preetum Nakkiran Gal Kaplun Yamini Bansal Tristan Yang Boaz Barak Ilya Sutskever 121 945 0 04 Dec 2019
Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness Pengzhan Jin Lu Lu Yifa Tang George Karniadakis 49 60 0 27 May 2019
Deep Learning of Vortex Induced Vibrations M. Raissi Zhicheng Wang M. Triantafyllou George Karniadakis AI4CE 60 376 0 26 Aug 2018
Forward-Backward Stochastic Neural Networks: Deep Learning of High-dimensional Partial Differential Equations M. Raissi 104 188 0 19 Apr 2018
Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations M. Raissi PINN AI4CE 120 755 0 20 Jan 2018
Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations M. Raissi George Karniadakis AI4CE PINN 75 1,137 0 02 Aug 2017
Adam: A Method for Stochastic Optimization Diederik P. Kingma Jimmy Ba ODL 2.0K 150,260 0 22 Dec 2014