Physics Informed Deep Learning (Part II): Data-driven Discovery of
Nonlinear Partial Differential Equations

Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations

28 November 2017

George Karniadakis

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Papers citing "Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations"

13 / 13 papers shown

Title
HyperNet Fields: Efficiently Training Hypernetworks without Ground Truth by Learning Weight Trajectories Eric Hedlin Munawar Hayat Fatih Porikli Kwang Moo Yi Shweta Mahajan 3DH 152 0 0 22 Dec 2024
MINN: Learning the dynamics of differential-algebraic equations and application to battery modeling Yicun Huang Changfu Zou Yongqian Li T. Wik PINN 103 10 0 27 Apr 2023
Highly-scalable, physics-informed GANs for learning solutions of stochastic PDEs Liu Yang Sean Treichler Thorsten Kurth Keno Fischer D. Barajas-Solano ... Valentin Churavy A. Tartakovsky Michael Houston P. Prabhat George Karniadakis AI4CE 82 39 0 29 Oct 2019
Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations M. Raissi George Karniadakis AI4CE PINN 87 1,144 0 02 Aug 2017
Numerical Gaussian Processes for Time-dependent and Non-linear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis 101 268 0 29 Mar 2017
Opening the Black Box of Deep Neural Networks via Information Ravid Shwartz-Ziv Naftali Tishby AI4CE 118 1,420 0 02 Mar 2017
Machine Learning of Linear Differential Equations using Gaussian Processes M. Raissi George Karniadakis 83 553 0 10 Jan 2017
Inferring solutions of differential equations using noisy multi-fidelity data M. Raissi P. Perdikaris George Karniadakis AI4CE 67 290 0 16 Jul 2016
TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems Martín Abadi Ashish Agarwal P. Barham E. Brevdo Zhiwen Chen ... Pete Warden Martin Wattenberg Martin Wicke Yuan Yu Xiaoqiang Zheng 294 11,155 0 14 Mar 2016
Automatic differentiation in machine learning: a survey A. G. Baydin Barak A. Pearlmutter Alexey Radul J. Siskind PINN AI4CE ODL 181 2,824 0 20 Feb 2015
Adam: A Method for Stochastic Optimization Diederik P. Kingma Jimmy Ba ODL 2.1K 150,433 0 22 Dec 2014
The Loss Surfaces of Multilayer Networks A. Choromańska Mikael Henaff Michaël Mathieu Gerard Ben Arous Yann LeCun ODL 265 1,202 0 30 Nov 2014
Brittleness of Bayesian Inference Under Finite Information in a Continuous World H. Owhadi C. Scovel T. Sullivan 124 58 0 24 Apr 2013