TENG: Time-Evolving Natural Gradient for Solving PDEs With Deep Neural
Nets Toward Machine Precision

v1v2 (latest)

TENG: Time-Evolving Natural Gradient for Solving PDEs With Deep Neural Nets Toward Machine Precision

16 April 2024

Zhuo Chen

Esteban Vizcaino

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Papers citing "TENG: Time-Evolving Natural Gradient for Solving PDEs With Deep Neural Nets Toward Machine Precision"

12 / 12 papers shown

Title
Metamizer: a versatile neural optimizer for fast and accurate physics simulations Nils Wandel Stefan Schulz Reinhard Klein PINN AI4CE 114 1 0 10 Oct 2024
ANTN: Bridging Autoregressive Neural Networks and Tensor Networks for Quantum Many-Body Simulation Zhuo Chen Laker Newhouse E. Chen Di Luo Marin Soljacic 100 11 0 04 Apr 2023
Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets Sizhuang He Hanwen Wang P. Perdikaris AI4CE 97 707 0 19 Mar 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 504 2,448 0 18 Oct 2020
Learning Mesh-Based Simulation with Graph Networks Tobias Pfaff Meire Fortunato Alvaro Sanchez-Gonzalez Peter W. Battaglia AI4CE 82 804 0 07 Oct 2020
Learning to Simulate Complex Physics with Graph Networks Alvaro Sanchez-Gonzalez Jonathan Godwin Tobias Pfaff Rex Ying J. Leskovec Peter W. Battaglia PINN AI4CE 145 1,101 0 21 Feb 2020
Quantum Natural Gradient J. Stokes J. Izaac N. Killoran Giuseppe Carleo 54 409 0 04 Sep 2019
Fast Convergence of Natural Gradient Descent for Overparameterized Neural Networks Guodong Zhang James Martens Roger C. Grosse ODL 92 126 0 27 May 2019
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 437 5,157 0 19 Jun 2018
PDE-Net: Learning PDEs from Data Zichao Long Yiping Lu Xianzhong Ma Bin Dong DiffM AI4CE 57 759 0 26 Oct 2017
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems E. Weinan Ting Yu 123 1,389 0 30 Sep 2017
Revisiting Natural Gradient for Deep Networks Razvan Pascanu Yoshua Bengio ODL 219 389 0 16 Jan 2013

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