HyperPINN: Learning parameterized differential equations with
physics-informed hypernetworks

HyperPINN: Learning parameterized differential equations with physics-informed hypernetworks

28 October 2021

Filipe de Avila Belbute-Peres

Yi-fan Chen

ArXiv (abs)PDF HTML

Papers citing "HyperPINN: Learning parameterized differential equations with physics-informed hypernetworks"

10 / 10 papers shown

Title
$Physics-informed neural networks for solving Reynolds-averaged Navier$\unicode{x2013}$Stokes equations$ Physics-informed neural networks for solving Reynolds-averaged Navier $\unicode{x2013}$ Stokes equations Hamidreza Eivazi M. Tahani P. Schlatter Ricardo Vinuesa PINN AI4CE 62 267 0 22 Jul 2021
Active Training of Physics-Informed Neural Networks to Aggregate and Interpolate Parametric Solutions to the Navier-Stokes Equations Christopher J. Arthurs A. King PINN 147 52 0 02 May 2020
A comparative study of physics-informed neural network models for learning unknown dynamics and constitutive relations R. Tipireddy P. Perdikaris P. Stinis A. Tartakovsky PINN 66 34 0 02 Apr 2019
Hidden Fluid Mechanics: A Navier-Stokes Informed Deep Learning Framework for Assimilating Flow Visualization Data M. Raissi A. Yazdani George Karniadakis AI4CE PINN 90 161 0 13 Aug 2018
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 452 5,168 0 19 Jun 2018
Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations M. Raissi PINN AI4CE 128 757 0 20 Jan 2018
Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems M. Raissi P. Perdikaris George Karniadakis PINN 152 266 0 04 Jan 2018
Neural networks catching up with finite differences in solving partial differential equations in higher dimensions V. Avrutskiy 56 22 0 14 Dec 2017
DGM: A deep learning algorithm for solving partial differential equations Justin A. Sirignano K. Spiliopoulos AI4CE 97 2,067 0 24 Aug 2017
HyperNetworks David R Ha Andrew M. Dai Quoc V. Le 172 1,633 0 27 Sep 2016