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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
Learning Dual-Arm Coordination for Grasping Large Flat Objects
Learning Dual-Arm Coordination for Grasping Large Flat Objects
Yongliang Wang
H. Kasaei
32
0
0
04 Apr 2025
Implicit Neural Differential Model for Spatiotemporal Dynamics
Implicit Neural Differential Model for Spatiotemporal Dynamics
Deepak Akhare
P. Du
Tengfei Luo
Jian-Xun Wang
PINN
AI4CE
46
0
0
03 Apr 2025
Adaptive Frequency Enhancement Network for Remote Sensing Image Semantic Segmentation
Adaptive Frequency Enhancement Network for Remote Sensing Image Semantic Segmentation
Feng Gao
Miao Fu
Jingchao Cao
Junyu Dong
Q. Du
46
0
0
03 Apr 2025
Active Learning Design: Modeling Force Output for Axisymmetric Soft Pneumatic Actuators
Active Learning Design: Modeling Force Output for Axisymmetric Soft Pneumatic Actuators
Gregory M. Campbell
Gentian Muhaxheri
Leonardo Ferreira Guilhoto
Christian D. Santangelo
P. Perdikaris
James H. Pikul
Mark H. Yim
35
0
0
01 Apr 2025
Provably accurate adaptive sampling for collocation points in physics-informed neural networks
Provably accurate adaptive sampling for collocation points in physics-informed neural networks
Antoine Caradot
Rémi Emonet
Amaury Habrard
Abdel-Rahim Mezidi
M. Sebban
39
0
0
01 Apr 2025
Reducing Smoothness with Expressive Memory Enhanced Hierarchical Graph Neural Networks
Reducing Smoothness with Expressive Memory Enhanced Hierarchical Graph Neural Networks
Thomas Bailie
Yun Sing Koh
S. Karthik Mukkavilli
V. Vetrova
AI4TS
48
0
0
01 Apr 2025
Operator Learning with Domain Decomposition for Geometry Generalization in PDE Solving
Operator Learning with Domain Decomposition for Geometry Generalization in PDE Solving
Jianing Huang
Kaixuan Zhang
Youjia Wu
Ze Cheng
AI4CE
56
0
0
01 Apr 2025
Towards scientific machine learning for granular material simulations -- challenges and opportunities
Towards scientific machine learning for granular material simulations -- challenges and opportunities
Marc Fransen
Andreas Fürst
D. Tunuguntla
Daniel N. Wilke
Benedikt Alkin
...
Takayuki Shuku
WaiChing Sun
T. Weinhart
Dongwei Ye
Hongyang Cheng
AI4CE
31
0
0
01 Apr 2025
New universal operator approximation theorem for encoder-decoder architectures (Preprint)
New universal operator approximation theorem for encoder-decoder architectures (Preprint)
Janek Gödeke
Pascal Fernsel
40
0
0
31 Mar 2025
Physics-informed neural networks for hidden boundary detection and flow field reconstruction
Physics-informed neural networks for hidden boundary detection and flow field reconstruction
Yongzheng Zhu
Weizheng Chen
Jian Deng
Xin Bian
PINN
AI4CE
51
0
0
31 Mar 2025
Plane-Wave Decomposition and Randomised Training; a Novel Path to Generalised PINNs for SHM
Plane-Wave Decomposition and Randomised Training; a Novel Path to Generalised PINNs for SHM
Rory Clements
James Ellis
Geoff Hassall
Simon Horsley
Gavin Tabor
58
0
0
31 Mar 2025
Generative Latent Neural PDE Solver using Flow Matching
Generative Latent Neural PDE Solver using Flow Matching
Zijie Li
Anthony Y. Zhou
Amir Barati Farimani
DiffM
AI4CE
72
0
0
28 Mar 2025
Uncertainty propagation in feed-forward neural network models
Uncertainty propagation in feed-forward neural network models
Jeremy Diamzon
Daniele Venturi
60
0
0
27 Mar 2025
EquiNO: A Physics-Informed Neural Operator for Multiscale Simulations
EquiNO: A Physics-Informed Neural Operator for Multiscale Simulations
Hamidreza Eivazi
Jendrik-Alexander Tröger
Stefan H. A. Wittek
Stefan Hartmann
Andreas Rausch
AI4CE
43
0
0
27 Mar 2025
Generalizable Implicit Neural Representations via Parameterized Latent Dynamics for Baroclinic Ocean Forecasting
Generalizable Implicit Neural Representations via Parameterized Latent Dynamics for Baroclinic Ocean Forecasting
Guang Zhao
Xihaier Luo
Seungjun Lee
Yihui Ren
Shinjae Yoo
Luke Van Roekel
B. Nadiga
S. Narayanan
Yixuan Sun
Wei Xu
AI4CE
48
0
0
27 Mar 2025
A multi-agentic framework for real-time, autonomous freeform metasurface design
A multi-agentic framework for real-time, autonomous freeform metasurface design
Robert Lupoiu
Yixuan Shao
Tianxiang Dai
Chenkai Mao
Kofi Edee
Jonathan A. Fan
AI4CE
73
0
0
26 Mar 2025
Data-efficient rapid prediction of urban airflow and temperature fields for complex building geometries
Data-efficient rapid prediction of urban airflow and temperature fields for complex building geometries
Shaoxiang Qin
Dongxue Zhan
Ahmed Marey
Dingyang Geng
Theodore Potsis
L. Wang
AI4CE
41
0
0
25 Mar 2025
A Probabilistic Neuro-symbolic Layer for Algebraic Constraint Satisfaction
A Probabilistic Neuro-symbolic Layer for Algebraic Constraint Satisfaction
Leander Kurscheidt
Paolo Morettin
Roberto Sebastiani
Andrea Passerini
Antonio Vergari
57
0
0
25 Mar 2025
PNN: A Novel Progressive Neural Network for Fault Classification in Rotating Machinery under Small Dataset Constraint
PNN: A Novel Progressive Neural Network for Fault Classification in Rotating Machinery under Small Dataset Constraint
Praveen Chopra
Himanshu Kumar
Sandeep Yadav
AI4CE
55
0
0
24 Mar 2025
Frequency Dynamic Convolution for Dense Image Prediction
Frequency Dynamic Convolution for Dense Image Prediction
Linwei Chen
Lin Gu
Liang Li
C. Yan
Ying Fu
44
0
0
24 Mar 2025
Paving the way for scientific foundation models: enhancing generalization and robustness in PDEs with constraint-aware pre-training
Paving the way for scientific foundation models: enhancing generalization and robustness in PDEs with constraint-aware pre-training
A. Totounferoush
Serge Kotchourko
Michael W. Mahoney
Shri Kiran Srinivasan
AI4CE
34
1
0
24 Mar 2025
Adaptive Physics-informed Neural Networks: A Survey
Adaptive Physics-informed Neural Networks: A Survey
Edgar Torres
Jonathan Schiefer
Mathias Niepert
PINN
AI4CE
63
0
0
23 Mar 2025
HyperNOs: Automated and Parallel Library for Neural Operators Research
HyperNOs: Automated and Parallel Library for Neural Operators Research
Massimiliano Ghiotto
46
0
0
23 Mar 2025
Theory-to-Practice Gap for Neural Networks and Neural Operators
Theory-to-Practice Gap for Neural Networks and Neural Operators
Philipp Grohs
S. Lanthaler
Margaret Trautner
38
1
0
23 Mar 2025
PT-PINNs: A Parametric Engineering Turbulence Solver based on Physics-Informed Neural Networks
PT-PINNs: A Parametric Engineering Turbulence Solver based on Physics-Informed Neural Networks
Liang Jiang
Yuzhou Cheng
Kun Luo
Jianren Fan
PINN
48
0
0
22 Mar 2025
Enhancing Fourier Neural Operators with Local Spatial Features
Enhancing Fourier Neural Operators with Local Spatial Features
Chaoyu Liu
Davide Murari
Chris Budd
Lihao Liu
Carola-Bibiane Schönlieb
AI4CE
39
0
0
22 Mar 2025
Physics-Informed Deep B-Spline Networks for Dynamical Systems
Physics-Informed Deep B-Spline Networks for Dynamical Systems
Zhuoyuan Wang
Raffaele Romagnoli
Jasmine Ratchford
Yorie Nakahira
PINN
AI4CE
55
0
0
21 Mar 2025
QCPINN: Quantum-Classical Physics-Informed Neural Networks for Solving PDEs
QCPINN: Quantum-Classical Physics-Informed Neural Networks for Solving PDEs
Afrah Farea
Saiful Khan
Mustafa Serdar Celebi
PINN
61
0
0
20 Mar 2025
TripNet: Learning Large-scale High-fidelity 3D Car Aerodynamics with Triplane Networks
TripNet: Learning Large-scale High-fidelity 3D Car Aerodynamics with Triplane Networks
Qian Chen
Mohamed Elrefaie
Angela Dai
Faez Ahmed
3DPC
AI4CE
63
1
0
19 Mar 2025
A discontinuity-capturing neural network with categorical embedding and its application to anisotropic elliptic interface problems
A discontinuity-capturing neural network with categorical embedding and its application to anisotropic elliptic interface problems
Wei-Fan Hu
Te-Sheng Lin
M. Lai
55
0
0
19 Mar 2025
Teaching Artificial Intelligence to Perform Rapid, Resolution-Invariant Grain Growth Modeling via Fourier Neural Operator
Teaching Artificial Intelligence to Perform Rapid, Resolution-Invariant Grain Growth Modeling via Fourier Neural Operator
Iman Peivaste
Ahmed Makradi
Salim Belouettar
AI4CE
34
0
0
18 Mar 2025
Mitigating Spectral Bias in Neural Operators via High-Frequency Scaling for Physical Systems
Mitigating Spectral Bias in Neural Operators via High-Frequency Scaling for Physical Systems
Siavash Khodakarami
Vivek Oommen
Aniruddha Bora
George Karniadakis
AI4CE
65
2
0
17 Mar 2025
Probabilistic Forecasting for Dynamical Systems with Missing or Imperfect Data
Probabilistic Forecasting for Dynamical Systems with Missing or Imperfect Data
Siddharth Rout
Eldad Haber
Stéphane Gaudreault
AI4TS
AI4CE
67
0
0
15 Mar 2025
Fourier Neural Operator based surrogates for $CO_2$ storage in realistic geologies
Fourier Neural Operator based surrogates for CO2CO_2CO2​ storage in realistic geologies
Anirban Chandra
Marius Koch
Suraj Pawar
Aniruddha Panda
Kamyar Azizzadenesheli
...
Farah Hariri
Clement Etienam
Pandu Devarakota
Anima Anandkumar
Detlef Hohl
AI4CE
53
3
0
14 Mar 2025
FLASHμ: Fast Localizing And Sizing of Holographic Microparticles
Ayush Paliwal
Oliver Schlenczek
Birte Thiede
Manuel Santos Pereira
Katja Stieger
Eberhard Bodenschatz
Gholamhossein Bagheri
Alexander Ecker
52
0
0
14 Mar 2025
Spatio-temporal Fourier Transformer (StFT) for Long-term Dynamics Prediction
Spatio-temporal Fourier Transformer (StFT) for Long-term Dynamics Prediction
Da Long
Shandian Zhe
Samuel Williams
L. Oliker
Zhe Bai
AI4TS
AI4CE
44
0
0
14 Mar 2025
Model-Agnostic Knowledge Guided Correction for Improved Neural Surrogate Rollout
Bharat Srikishan
Daniel O'Malley
Mohamed Mehana
Nicholas Lubbers
Nikhil Muralidhar
AI4CE
47
0
0
13 Mar 2025
AMR-Transformer: Enabling Efficient Long-range Interaction for Complex Neural Fluid Simulation
Zeyi Xu
Jinfan Liu
Kuangxu Chen
Ye Chen
Zhangli Hu
Bingbing Ni
59
0
0
13 Mar 2025
From Equations to Insights: Unraveling Symbolic Structures in PDEs with LLMs
From Equations to Insights: Unraveling Symbolic Structures in PDEs with LLMs
Rohan Bhatnagar
Ling Liang
Krish Patel
Haizhao Yang
36
0
0
13 Mar 2025
FourierSR: A Fourier Token-based Plugin for Efficient Image Super-Resolution
Wenjie Li
Heng Guo
Yuefeng Hou
Zhanyu Ma
34
0
0
13 Mar 2025
Probability-Flow ODE in Infinite-Dimensional Function Spaces
Kunwoo Na
Junghyun Lee
Se-Young Yun
Sungbin Lim
47
0
0
13 Mar 2025
PIMRL: Physics-Informed Multi-Scale Recurrent Learning for Spatiotemporal Prediction
PIMRL: Physics-Informed Multi-Scale Recurrent Learning for Spatiotemporal Prediction
Han Wan
Qi Wang
Hao Sun
Hao Sun
AI4CE
57
1
0
13 Mar 2025
Symbolic Neural Ordinary Differential Equations
Xin Li
Chengli Zhao
Xue Zhang
Xiaojun Duan
37
0
0
11 Mar 2025
Flexible and Efficient Probabilistic PDE Solvers through Gaussian Markov Random Fields
Tim Weiland
Marvin Pfortner
Philipp Hennig
AI4CE
40
0
0
11 Mar 2025
A Deep-Learning Iterative Stacked Approach for Prediction of Reactive Dissolution in Porous Media
Marcos Cirne
Hannah Menke
A. Abdellatif
Julien Maes
Florian Doster
A. Elsheikh
AI4CE
57
0
0
11 Mar 2025
NukesFormers: Unpaired Hyperspectral Image Generation with Non-Uniform Domain Alignment
Jiaojiao Li
Shiyao Duan
Haitao XU
Rui Song
39
0
0
10 Mar 2025
Denoising Hamiltonian Network for Physical Reasoning
Congyue Deng
Brandon Yushan Feng
Cecilia Garraffo
Alan Garbarz
Robin Walters
William T. Freeman
Leonidas J. Guibas
Kaiming He
AI4CE
68
0
0
10 Mar 2025
Parametric Value Approximation for General-sum Differential Games with State Constraints
Lei Zhang
Mukesh Ghimire
Wenlong Zhang
Z. Xu
Yi Ren
36
0
0
10 Mar 2025
No Forgetting Learning: Memory-free Continual Learning
Mohammad Ali Vahedifar
Qi Zhang
53
0
0
06 Mar 2025
Data-Driven Probabilistic Air-Sea Flux Parameterization
Jiarong Wu
Pavel Perezhogin
D. Gagne
Brandon Reichl
Aneesh C. Subramanian
Elizabeth Thompson
Laure Zanna
39
0
0
06 Mar 2025
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