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Variational operator learning: A unified paradigm marrying training
  neural operators and solving partial differential equations

Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equations

9 April 2023
Tengfei Xu
Dachuan Liu
Peng Hao
Bo Wang
ArXivPDFHTML

Papers citing "Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equations"

6 / 6 papers shown
Title
Structure-Preserving Operator Learning
Structure-Preserving Operator Learning
Nacime Bouziani
Nicolas Boullé
25
0
0
01 Oct 2024
A Deep Conjugate Direction Method for Iteratively Solving Linear Systems
A Deep Conjugate Direction Method for Iteratively Solving Linear Systems
Ayano Kaneda
Osman Akar
Jingyu Chen
Victoria Kala
David Hyde
Joseph Teran
33
10
0
22 May 2022
Fourier Neural Operator for Parametric Partial Differential Equations
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
203
2,281
0
18 Oct 2020
FEA-Net: A Physics-guided Data-driven Model for Efficient Mechanical
  Response Prediction
FEA-Net: A Physics-guided Data-driven Model for Efficient Mechanical Response Prediction
Houpu Yao
Yi Gao
Yongming Liu
AI4CE
49
66
0
31 Jan 2020
Scaling Laws for Neural Language Models
Scaling Laws for Neural Language Models
Jared Kaplan
Sam McCandlish
T. Henighan
Tom B. Brown
B. Chess
R. Child
Scott Gray
Alec Radford
Jeff Wu
Dario Amodei
226
4,453
0
23 Jan 2020
An Energy Approach to the Solution of Partial Differential Equations in
  Computational Mechanics via Machine Learning: Concepts, Implementation and
  Applications
An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications
E. Samaniego
C. Anitescu
S. Goswami
Vien Minh Nguyen-Thanh
Hongwei Guo
Khader M. Hamdia
Timon Rabczuk
X. Zhuang
PINN
AI4CE
145
1,338
0
27 Aug 2019
1