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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
How to Re-enable PDE Loss for Physical Systems Modeling Under Partial
  Observation
How to Re-enable PDE Loss for Physical Systems Modeling Under Partial Observation
Haodong Feng
Yue Wang
Dixia Fan
AI4CE
77
0
0
12 Dec 2024
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems
Sumanth Kumar Boya
Deepak Subramani
AI4CE
94
0
0
12 Dec 2024
Can neural operators always be continuously discretized?
Can neural operators always be continuously discretized?
Takashi Furuya
Michael Puthawala
Maarten V. de Hoop
Matti Lassas
64
0
0
04 Dec 2024
A deformation-based framework for learning solution mappings of PDEs
  defined on varying domains
A deformation-based framework for learning solution mappings of PDEs defined on varying domains
Shanshan Xiao
Pengzhan Jin
Yifa Tang
69
1
0
02 Dec 2024
The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learning
The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learning
Ruben Ohana
Michael McCabe
Lucas Meyer
Rudy Morel
Fruzsina J. Agocs
...
François Rozet
Liam Parker
M. Cranmer
S. Ho
Shirley Ho
PINN
AI4CE
72
7
1
30 Nov 2024
Advancing Generalization in PINNs through Latent-Space Representations
Advancing Generalization in PINNs through Latent-Space Representations
Honghui Wang
Yifan Pu
Shiji Song
Gao Huang
AI4CE
PINN
69
0
0
28 Nov 2024
What do physics-informed DeepONets learn? Understanding and improving
  training for scientific computing applications
What do physics-informed DeepONets learn? Understanding and improving training for scientific computing applications
Emily Williams
Amanda A. Howard
B. Meuris
P. Stinis
AI4CE
71
0
0
27 Nov 2024
An Ensemble Approach for Brain Tumor Segmentation and Synthesis
An Ensemble Approach for Brain Tumor Segmentation and Synthesis
Juampablo Heras Rivera
Agamdeep Chopra
Tianyi Ren
Hitender Oswal
Yutong Pan
...
Akshay Jaikanth
Pavan Kancharla
Jacob Ruzevick
Daniela Ushizima
Mehmet Kurt
74
1
0
26 Nov 2024
U-WNO:U-Net-enhanced Wavelet Neural Operator for fetal head segmentation
U-WNO:U-Net-enhanced Wavelet Neural Operator for fetal head segmentation
Pranava Seth
Deepak Mishra
Veena Iyer
62
0
0
25 Nov 2024
On the Boundary Feasibility for PDE Control with Neural Operators
On the Boundary Feasibility for PDE Control with Neural Operators
Hanjiang Hu
Changliu Liu
AI4CE
72
1
0
23 Nov 2024
What You See is Not What You Get: Neural Partial Differential Equations
  and The Illusion of Learning
What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning
Arvind Mohan
Ashesh Chattopadhyay
Jonah Miller
97
0
0
22 Nov 2024
Physics Encoded Blocks in Residual Neural Network Architectures for Digital Twin Models
Muhammad Saad Zia
Ashiq Anjum
Lu Liu
Anthony Conway
Anasol Pena Rios
PINN
AI4CE
67
0
0
18 Nov 2024
Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries
Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries
Zhihao Li
H. Song
Di Xiao
Zhilu Lai
Wei Wang
AI4CE
85
2
0
18 Nov 2024
Neural Operators Can Play Dynamic Stackelberg Games
Neural Operators Can Play Dynamic Stackelberg Games
Guillermo Alvarez
Ibrahim Ekren
Anastasis Kratsios
Xuwei Yang
33
0
0
14 Nov 2024
NeuralDEM -- Real-time Simulation of Industrial Particulate Flows
NeuralDEM -- Real-time Simulation of Industrial Particulate Flows
Benedikt Alkin
Tobias Kronlachner
Samuele Papa
Stefan Pirker
Thomas Lichtenegger
Johannes Brandstetter
PINN
AI4CE
54
1
1
14 Nov 2024
When are dynamical systems learned from time series data statistically
  accurate?
When are dynamical systems learned from time series data statistically accurate?
Jeongjin Park
Nicole Yang
Nisha Chandramoorthy
AI4TS
36
4
0
09 Nov 2024
Open-Source High-Speed Flight Surrogate Modeling Framework
Open-Source High-Speed Flight Surrogate Modeling Framework
Tyler E. Korenyi-Both
Nathan J. Falkiewicz
Matthew C. Jones
AI4CE
29
0
0
06 Nov 2024
PACE: Pacing Operator Learning to Accurate Optical Field Simulation for
  Complicated Photonic Devices
PACE: Pacing Operator Learning to Accurate Optical Field Simulation for Complicated Photonic Devices
Hanqing Zhu
Wenyan Cong
Guojin Chen
Shupeng Ning
Ray T. Chen
Jiaqi Gu
David Z. Pan
28
1
0
05 Nov 2024
LE-PDE++: Mamba for accelerating PDEs Simulations
LE-PDE++: Mamba for accelerating PDEs Simulations
Aoming Liang
Zhaoyang Mu
Qi liu
Ruipeng Li
Mingming Ge
Dixia Fan
AI4CE
39
0
0
04 Nov 2024
How Analysis Can Teach Us the Optimal Way to Design Neural Operators
How Analysis Can Teach Us the Optimal Way to Design Neural Operators
Vu-Anh Le
Mehmet Dik
36
0
0
04 Nov 2024
LES-SINDy: Laplace-Enhanced Sparse Identification of Nonlinear Dynamical
  Systems
LES-SINDy: Laplace-Enhanced Sparse Identification of Nonlinear Dynamical Systems
Haoyang Zheng
Guang Lin
39
1
0
04 Nov 2024
An Efficient Hierarchical Preconditioner-Learner Architecture for
  Reconstructing Multi-scale Basis Functions of High-dimensional Subsurface
  Fluid Flow
An Efficient Hierarchical Preconditioner-Learner Architecture for Reconstructing Multi-scale Basis Functions of High-dimensional Subsurface Fluid Flow
Peiqi Li
Jie Chen
AI4CE
31
0
0
01 Nov 2024
Conformalized Prediction of Post-Fault Voltage Trajectories Using
  Pre-trained and Finetuned Attention-Driven Neural Operators
Conformalized Prediction of Post-Fault Voltage Trajectories Using Pre-trained and Finetuned Attention-Driven Neural Operators
Amirhossein Mollaali
Gabriel Zufferey
Gonzalo E. Constante-Flores
Christian Moya
Can Li
Guang Lin
Meng Yue
42
0
0
31 Oct 2024
GoRINNs: Godunov-Riemann Informed Neural Networks for Learning
  Hyperbolic Conservation Laws
GoRINNs: Godunov-Riemann Informed Neural Networks for Learning Hyperbolic Conservation Laws
Dimitrios G. Patsatzis
Mario di Bernardo
L. Russo
Constantinos Siettos
AI4CE
31
1
0
29 Oct 2024
P$^2$C$^2$Net: PDE-Preserved Coarse Correction Network for efficient
  prediction of spatiotemporal dynamics
P2^22C2^22Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamics
Qi Wang
Pu Ren
Hao Zhou
Xin-Yang Liu
Z. Deng
...
Zidong Wang
Jian-Xun Wang
Ji-Rong_Wen
Hao Sun
Yang Liu
58
5
0
29 Oct 2024
Learning Infinitesimal Generators of Continuous Symmetries from Data
Learning Infinitesimal Generators of Continuous Symmetries from Data
Gyeonghoon Ko
Hyunsu Kim
Juho Lee
34
2
0
29 Oct 2024
PACER: Physics Informed Uncertainty Aware Climate Emulator
PACER: Physics Informed Uncertainty Aware Climate Emulator
Hira Saleem
Flora Salim
Cormac Purcell
24
0
0
29 Oct 2024
A Mathematical Analysis of Neural Operator Behaviors
A Mathematical Analysis of Neural Operator Behaviors
Vu-Anh Le
Mehmet Dik
AI4CE
22
1
0
28 Oct 2024
Physics-informed Partitioned Coupled Neural Operator for Complex
  Networks
Physics-informed Partitioned Coupled Neural Operator for Complex Networks
Weidong Wu
Yong Zhang
Lili Hao
Y. Chen
Xiaoyan Sun
Dunwei Gong
AI4CE
24
0
0
28 Oct 2024
Neural Hamilton: Can A.I. Understand Hamiltonian Mechanics?
Neural Hamilton: Can A.I. Understand Hamiltonian Mechanics?
Tae-Geun Kim
Seong Chan Park
25
0
0
28 Oct 2024
Trajectory Flow Matching with Applications to Clinical Time Series Modeling
Trajectory Flow Matching with Applications to Clinical Time Series Modeling
Xi Zhang
Yuan Pu
Yuki Kawamura
Andrew Loza
Yoshua Bengio
Dennis L. Shung
Alexander Tong
OOD
AI4TS
MedIm
30
2
0
28 Oct 2024
GeoFUSE: A High-Efficiency Surrogate Model for Seawater Intrusion
  Prediction and Uncertainty Reduction
GeoFUSE: A High-Efficiency Surrogate Model for Seawater Intrusion Prediction and Uncertainty Reduction
Su Jiang
Chuyang Liu
D. Dwivedi
AI4CE
31
0
0
26 Oct 2024
CGKN: A Deep Learning Framework for Modeling Complex Dynamical Systems and Efficient Data Assimilation
CGKN: A Deep Learning Framework for Modeling Complex Dynamical Systems and Efficient Data Assimilation
Chuanqi Chen
Nan Chen
Yinling Zhang
Jin-Long Wu
AI4CE
36
2
0
26 Oct 2024
Using Parametric PINNs for Predicting Internal and External Turbulent
  Flows
Using Parametric PINNs for Predicting Internal and External Turbulent Flows
Shinjan Ghosh
Amit Chakraborty
Georgia Olympia Brikis
Biswadip Dey
22
1
0
24 Oct 2024
Generalizable Motion Planning via Operator Learning
Generalizable Motion Planning via Operator Learning
Sharath Matada
Luke Bhan
Yuanyuan Shi
Nikolay Atanasov
31
0
0
23 Oct 2024
On conditional diffusion models for PDE simulations
On conditional diffusion models for PDE simulations
Aliaksandra Shysheya
Cristiana-Diana Diaconu
Federico Bergamin
P. Perdikaris
José Miguel Hernández-Lobato
Richard E. Turner
Emile Mathieu
DiffM
25
5
0
21 Oct 2024
Neural Quantum Propagators for Driven-Dissipative Quantum Dynamics
Neural Quantum Propagators for Driven-Dissipative Quantum Dynamics
Jiaji Zhang
Carlos L. Benavides-Riveros
Lipeng Chen
26
2
0
21 Oct 2024
Long-time Integration of Nonlinear Wave Equations with Neural Operators
Long-time Integration of Nonlinear Wave Equations with Neural Operators
Guanhang Lei
Zhen Lei
Lei Shi
28
0
0
21 Oct 2024
Learning signals defined on graphs with optimal transport and Gaussian process regression
Learning signals defined on graphs with optimal transport and Gaussian process regression
Raphael Carpintero Perez
Sébastien da Veiga
Josselin Garnier
B. Staber
36
1
0
21 Oct 2024
SEA: State-Exchange Attention for High-Fidelity Physics Based
  Transformers
SEA: State-Exchange Attention for High-Fidelity Physics Based Transformers
Parsa Esmati
Amirhossein Dadashzadeh
Vahid Goodarzi
Nicolas Larrosa
Nicolo Grilli
27
0
0
20 Oct 2024
Can AI weather models predict out-of-distribution gray swan tropical cyclones?
Can AI weather models predict out-of-distribution gray swan tropical cyclones?
Y. Qiang Sun
P. Hassanzadeh
Mohsen Zand
A. Chattopadhyay
J. Weare
D. Abbot
38
7
0
19 Oct 2024
Simultaneously Solving FBSDEs with Neural Operators of Logarithmic
  Depth, Constant Width, and Sub-Linear Rank
Simultaneously Solving FBSDEs with Neural Operators of Logarithmic Depth, Constant Width, and Sub-Linear Rank
Takashi Furuya
Anastasis Kratsios
30
1
0
18 Oct 2024
Arbitrarily-Conditioned Multi-Functional Diffusion for Multi-Physics
  Emulation
Arbitrarily-Conditioned Multi-Functional Diffusion for Multi-Physics Emulation
Da Long
Zhitong Xu
Guang Yang
A. Narayan
Shandian Zhe
DiffM
AI4CE
18
1
0
17 Oct 2024
A Numerical Study of Chaotic Dynamics of K-S Equation with FNOs
A Numerical Study of Chaotic Dynamics of K-S Equation with FNOs
Surbhi Khetrapal
Jaswin Kasi
21
0
0
16 Oct 2024
Model Balancing Helps Low-data Training and Fine-tuning
Model Balancing Helps Low-data Training and Fine-tuning
Zihang Liu
Yihan Hu
Tianyu Pang
Yefan Zhou
Pu Ren
Yaoqing Yang
34
2
0
16 Oct 2024
Deep vectorised operators for pulsatile hemodynamics estimation in
  coronary arteries from a steady-state prior
Deep vectorised operators for pulsatile hemodynamics estimation in coronary arteries from a steady-state prior
Julian Suk
Guido Nannini
Patryk Rygiel
Christoph Brune
Gianluca Pontone
Alberto Redaelli
J. Wolterink
16
1
0
15 Oct 2024
Deep Optimal Sensor Placement for Black Box Stochastic Simulations
Deep Optimal Sensor Placement for Black Box Stochastic Simulations
Paula Cordero-Encinar
Tobias Schröder
P. Yatsyshin
Andrew Duncan
45
0
0
15 Oct 2024
A Unified Framework for Forward and Inverse Problems in Subsurface Imaging using Latent Space Translations
A Unified Framework for Forward and Inverse Problems in Subsurface Imaging using Latent Space Translations
Naveen Gupta
Medha Sawhney
Arka Daw
Youzuo Lin
Anuj Karpatne
MedIm
AI4CE
49
2
0
15 Oct 2024
SpeGCL: Self-supervised Graph Spectrum Contrastive Learning without
  Positive Samples
SpeGCL: Self-supervised Graph Spectrum Contrastive Learning without Positive Samples
Yuntao Shou
Xiangyong Cao
Deyu Meng
33
9
0
14 Oct 2024
Score Neural Operator: A Generative Model for Learning and Generalizing
  Across Multiple Probability Distributions
Score Neural Operator: A Generative Model for Learning and Generalizing Across Multiple Probability Distributions
Xinyu Liao
Aoyang Qin
Jacob H. Seidman
Junqi Wang
Wei Wang
P. Perdikaris
DiffM
23
0
0
11 Oct 2024
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