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Fourier Neural Operator for Parametric Partial Differential Equations

Fourier Neural Operator for Parametric Partial Differential Equations

18 October 2020
Zong-Yi Li
Nikola B. Kovachki
Kamyar Azizzadenesheli
Burigede Liu
K. Bhattacharya
Andrew M. Stuart
Anima Anandkumar
    AI4CE
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Papers citing "Fourier Neural Operator for Parametric Partial Differential Equations"

50 / 1,289 papers shown
Title
Tutorial on amortized optimization
Tutorial on amortized optimization
Brandon Amos
OffRL
75
43
0
01 Feb 2022
Physics-informed neural networks for non-Newtonian fluid
  thermo-mechanical problems: an application to rubber calendering process
Physics-informed neural networks for non-Newtonian fluid thermo-mechanical problems: an application to rubber calendering process
Thi Nguyen Khoa Nguyen
T. Dairay
Raphael Meunier
Mathilde Mougeot
PINN
AI4CE
81
29
0
31 Jan 2022
FEDformer: Frequency Enhanced Decomposed Transformer for Long-term
  Series Forecasting
FEDformer: Frequency Enhanced Decomposed Transformer for Long-term Series Forecasting
Tian Zhou
Ziqing Ma
Qingsong Wen
Xue Wang
Liang Sun
Rong Jin
AI4TS
30
1,303
0
30 Jan 2022
Discovering Nonlinear PDEs from Scarce Data with Physics-encoded
  Learning
Discovering Nonlinear PDEs from Scarce Data with Physics-encoded Learning
Chengping Rao
Pu Ren
Yang Liu
Hao Sun
AI4CE
43
27
0
28 Jan 2022
Approximately Equivariant Networks for Imperfectly Symmetric Dynamics
Approximately Equivariant Networks for Imperfectly Symmetric Dynamics
Rui Wang
Robin G. Walters
Rose Yu
38
73
0
28 Jan 2022
Pseudo-Differential Neural Operator: Generalized Fourier Neural Operator
  for Learning Solution Operators of Partial Differential Equations
Pseudo-Differential Neural Operator: Generalized Fourier Neural Operator for Learning Solution Operators of Partial Differential Equations
J. Shin
Jae Yong Lee
H. Hwang
24
2
0
28 Jan 2022
Physics-informed ConvNet: Learning Physical Field from a Shallow Neural
  Network
Physics-informed ConvNet: Learning Physical Field from a Shallow Neural Network
Peng Shi
Zhi Zeng
Tianshou Liang
AI4CE
31
20
0
26 Jan 2022
A Generalized Weighted Optimization Method for Computational Learning
  and Inversion
A Generalized Weighted Optimization Method for Computational Learning and Inversion
Bjorn Engquist
Kui Ren
Yunan Yang
23
4
0
23 Jan 2022
Overview frequency principle/spectral bias in deep learning
Overview frequency principle/spectral bias in deep learning
Z. Xu
Yaoyu Zhang
Tao Luo
FaML
33
66
0
19 Jan 2022
Neural Residual Flow Fields for Efficient Video Representations
Neural Residual Flow Fields for Efficient Video Representations
Daniel Rho
Ju-Hee Cho
J. Ko
Eunbyung Park
27
21
0
12 Jan 2022
Nonlocal Kernel Network (NKN): a Stable and Resolution-Independent Deep
  Neural Network
Nonlocal Kernel Network (NKN): a Stable and Resolution-Independent Deep Neural Network
Huaiqian You
Yue Yu
M. DÉlia
T. Gao
Stewart Silling
21
70
0
06 Jan 2022
Learning Operators with Coupled Attention
Learning Operators with Coupled Attention
Georgios Kissas
Jacob H. Seidman
Leonardo Ferreira Guilhoto
V. Preciado
George J. Pappas
P. Perdikaris
32
110
0
04 Jan 2022
Deep Nonparametric Estimation of Operators between Infinite Dimensional
  Spaces
Deep Nonparametric Estimation of Operators between Infinite Dimensional Spaces
Hao Liu
Haizhao Yang
Minshuo Chen
T. Zhao
Wenjing Liao
32
36
0
01 Jan 2022
Learned Coarse Models for Efficient Turbulence Simulation
Learned Coarse Models for Efficient Turbulence Simulation
Kimberly L. Stachenfeld
D. Fielding
Dmitrii Kochkov
M. Cranmer
Tobias Pfaff
Jonathan Godwin
Can Cui
S. Ho
Peter W. Battaglia
Alvaro Sanchez-Gonzalez
AI4CE
35
78
0
31 Dec 2021
Frame invariance and scalability of neural operators for partial
  differential equations
Frame invariance and scalability of neural operators for partial differential equations
M. Zafar
Jiequn Han
Xueqing Zhou
Heng Xiao
16
5
0
28 Dec 2021
Wireless-Enabled Asynchronous Federated Fourier Neural Network for
  Turbulence Prediction in Urban Air Mobility (UAM)
Wireless-Enabled Asynchronous Federated Fourier Neural Network for Turbulence Prediction in Urban Air Mobility (UAM)
Tengchan Zeng
Omid Semiari
Walid Saad
M. Bennis
34
3
0
26 Dec 2021
Exponential Convergence of Deep Operator Networks for Elliptic Partial
  Differential Equations
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations
C. Marcati
Christoph Schwab
19
38
0
15 Dec 2021
Learning High-Dimensional Parametric Maps via Reduced Basis Adaptive
  Residual Networks
Learning High-Dimensional Parametric Maps via Reduced Basis Adaptive Residual Networks
Thomas O'Leary-Roseberry
Xiaosong Du
A. Chaudhuri
J. Martins
Karen E. Willcox
Omar Ghattas
30
22
0
14 Dec 2021
How to Avoid Trivial Solutions in Physics-Informed Neural Networks
How to Avoid Trivial Solutions in Physics-Informed Neural Networks
Raphael Leiteritz
Dirk Pflüger
AI4CE
PINN
12
21
0
10 Dec 2021
Surrogate-data-enriched Physics-Aware Neural Networks
Surrogate-data-enriched Physics-Aware Neural Networks
Raphael Leiteritz
Patrick Buchfink
B. Haasdonk
Dirk Pflüger
PINN
AI4CE
19
3
0
10 Dec 2021
A Continuous-time Stochastic Gradient Descent Method for Continuous Data
A Continuous-time Stochastic Gradient Descent Method for Continuous Data
Kexin Jin
J. Latz
Chenguang Liu
Carola-Bibiane Schönlieb
23
9
0
07 Dec 2021
Interpolating between BSDEs and PINNs: deep learning for elliptic and
  parabolic boundary value problems
Interpolating between BSDEs and PINNs: deep learning for elliptic and parabolic boundary value problems
Nikolas Nusken
Lorenz Richter
PINN
DiffM
31
27
0
07 Dec 2021
Emulating Spatio-Temporal Realizations of Three-Dimensional Isotropic
  Turbulence via Deep Sequence Learning Models
Emulating Spatio-Temporal Realizations of Three-Dimensional Isotropic Turbulence via Deep Sequence Learning Models
M. Momenifar
Enmao Diao
Vahid Tarokh
A. Bragg
AI4CE
10
4
0
07 Dec 2021
Deep Decomposition for Stochastic Normal-Abnormal Transport
Deep Decomposition for Stochastic Normal-Abnormal Transport
Peirong Liu
Yueh Z. Lee
S. Aylward
Marc Niethammer
DiffM
MedIm
31
5
0
29 Nov 2021
Factorized Fourier Neural Operators
Factorized Fourier Neural Operators
Alasdair Tran
A. Mathews
Lexing Xie
Cheng Soon Ong
AI4CE
34
142
0
27 Nov 2021
Adaptive Fourier Neural Operators: Efficient Token Mixers for
  Transformers
Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers
John Guibas
Morteza Mardani
Zong-Yi Li
Andrew Tao
Anima Anandkumar
Bryan Catanzaro
21
229
0
24 Nov 2021
Composing Partial Differential Equations with Physics-Aware Neural
  Networks
Composing Partial Differential Equations with Physics-Aware Neural Networks
Matthias Karlbauer
T. Praditia
S. Otte
S. Oladyshkin
Wolfgang Nowak
Martin Volker Butz
AI4CE
40
18
0
23 Nov 2021
The Pseudo Projection Operator: Applications of Deep Learning to
  Projection Based Filtering in Non-Trivial Frequency Regimes
The Pseudo Projection Operator: Applications of Deep Learning to Projection Based Filtering in Non-Trivial Frequency Regimes
Matthew L. Weiss
Nathan C. Frey
S. Samsi
Randy C. Paffenroth
V. Gadepally
6
0
0
13 Nov 2021
Physics-enhanced deep surrogates for partial differential equations
Physics-enhanced deep surrogates for partial differential equations
R. Pestourie
Youssef Mroueh
Chris Rackauckas
Payel Das
Steven G. Johnson
PINN
AI4CE
25
15
0
10 Nov 2021
Machine-learning custom-made basis functions for partial differential
  equations
Machine-learning custom-made basis functions for partial differential equations
B. Meuris
S. Qadeer
P. Stinis
13
3
0
09 Nov 2021
Solving PDE-constrained Control Problems Using Operator Learning
Solving PDE-constrained Control Problems Using Operator Learning
Rakhoon Hwang
Jae Yong Lee
J. Shin
H. Hwang
AI4CE
117
43
0
09 Nov 2021
Physics-Informed Neural Operator for Learning Partial Differential
  Equations
Physics-Informed Neural Operator for Learning Partial Differential Equations
Zong-Yi Li
Hongkai Zheng
Nikola B. Kovachki
David Jin
Haoxuan Chen
Burigede Liu
Kamyar Azizzadenesheli
Anima Anandkumar
AI4CE
62
384
0
06 Nov 2021
Probabilistic Deep Learning for Real-Time Large Deformation Simulations
Probabilistic Deep Learning for Real-Time Large Deformation Simulations
Saurabh Deshpande
J. Lengiewicz
Stéphane P. A. Bordas
OOD
BDL
AI4CE
6
50
0
02 Nov 2021
Solving Partial Differential Equations with Point Source Based on
  Physics-Informed Neural Networks
Solving Partial Differential Equations with Point Source Based on Physics-Informed Neural Networks
Xiang Huang
Hongsheng Liu
Beiji Shi
Zidong Wang
Kan Yang
...
Jing Zhou
Fan Yu
Bei Hua
Lei Chen
Bin Dong
13
20
0
02 Nov 2021
DeepParticle: learning invariant measure by a deep neural network
  minimizing Wasserstein distance on data generated from an interacting
  particle method
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method
Zhongjian Wang
Jack Xin
Zhiwen Zhang
39
15
0
02 Nov 2021
Reverse engineering recurrent neural networks with Jacobian switching
  linear dynamical systems
Reverse engineering recurrent neural networks with Jacobian switching linear dynamical systems
Jimmy T.H. Smith
Scott W. Linderman
David Sussillo
17
28
0
01 Nov 2021
FC2T2: The Fast Continuous Convolutional Taylor Transform with
  Applications in Vision and Graphics
FC2T2: The Fast Continuous Convolutional Taylor Transform with Applications in Vision and Graphics
Henning Lange
J. Nathan Kutz
15
2
0
29 Oct 2021
Neural Flows: Efficient Alternative to Neural ODEs
Neural Flows: Efficient Alternative to Neural ODEs
Marin Bilovs
Johanna Sommer
Syama Sundar Rangapuram
Tim Januschowski
Stephan Günnemann
AI4TS
21
70
0
25 Oct 2021
Probabilistic Numerical Method of Lines for Time-Dependent Partial
  Differential Equations
Probabilistic Numerical Method of Lines for Time-Dependent Partial Differential Equations
Nicholas Kramer
Jonathan Schmidt
Philipp Hennig
32
18
0
22 Oct 2021
One-Shot Transfer Learning of Physics-Informed Neural Networks
One-Shot Transfer Learning of Physics-Informed Neural Networks
Shaan Desai
M. Mattheakis
H. Joy
P. Protopapas
Stephen J. Roberts
PINN
AI4CE
27
58
0
21 Oct 2021
Neural Stochastic PDEs: Resolution-Invariant Learning of Continuous
  Spatiotemporal Dynamics
Neural Stochastic PDEs: Resolution-Invariant Learning of Continuous Spatiotemporal Dynamics
C. Salvi
M. Lemercier
A. Gerasimovičs
AI4CE
24
42
0
19 Oct 2021
Beltrami Flow and Neural Diffusion on Graphs
Beltrami Flow and Neural Diffusion on Graphs
B. Chamberlain
J. Rowbottom
D. Eynard
Francesco Di Giovanni
Xiaowen Dong
M. Bronstein
AI4CE
34
79
0
18 Oct 2021
On the difficulty of learning chaotic dynamics with RNNs
On the difficulty of learning chaotic dynamics with RNNs
Jonas M. Mikhaeil
Zahra Monfared
Daniel Durstewitz
59
51
0
14 Oct 2021
NAS-Bench-360: Benchmarking Neural Architecture Search on Diverse Tasks
NAS-Bench-360: Benchmarking Neural Architecture Search on Diverse Tasks
Renbo Tu
Nicholas Roberts
M. Khodak
Jun Shen
Frederic Sala
Ameet Talwalkar
15
33
0
12 Oct 2021
Deep Bayesian inference for seismic imaging with tasks
Deep Bayesian inference for seismic imaging with tasks
Ali Siahkoohi
G. Rizzuti
Felix J. Herrmann
BDL
UQCV
40
21
0
10 Oct 2021
A Review of Physics-based Machine Learning in Civil Engineering
A Review of Physics-based Machine Learning in Civil Engineering
S. Vadyala
S. N. Betgeri
J. Matthews
Elizabeth Matthews
AI4CE
25
152
0
09 Oct 2021
Deep Learning to Estimate Permeability using Geophysical Data
Deep Learning to Estimate Permeability using Geophysical Data
M. Mudunuru
E. Cromwell
H. Wang
X. Chen
14
13
0
08 Oct 2021
A composable autoencoder-based iterative algorithm for accelerating
  numerical simulations
A composable autoencoder-based iterative algorithm for accelerating numerical simulations
Rishikesh Ranade
C. Hill
Haiyang He
Amir Maleki
Norman Chang
Jay Pathak
AI4CE
41
6
0
07 Oct 2021
Enhancing Computational Fluid Dynamics with Machine Learning
Enhancing Computational Fluid Dynamics with Machine Learning
Ricardo Vinuesa
Steven L. Brunton
AI4CE
114
355
0
05 Oct 2021
Applying Machine Learning to Study Fluid Mechanics
Applying Machine Learning to Study Fluid Mechanics
Steven L. Brunton
PINN
AI4CE
39
95
0
05 Oct 2021
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