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Factorized Fourier Neural Operators

Factorized Fourier Neural Operators

27 November 2021
Alasdair Tran
A. Mathews
Lexing Xie
Cheng Soon Ong
    AI4CE
ArXivPDFHTML

Papers citing "Factorized Fourier Neural Operators"

22 / 22 papers shown
Title
FreqMoE: Dynamic Frequency Enhancement for Neural PDE Solvers
FreqMoE: Dynamic Frequency Enhancement for Neural PDE Solvers
Tianyu Chen
Haoyi Zhou
Y. Li
Hao Wang
Z. Zhang
Tianchen Zhu
Shanghang Zhang
Jiashi Li
37
0
0
11 May 2025
PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems
PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems
Han Wan
Rui Zhang
Qi Wang
Yong-Jin Liu
Hao Sun
PINN
45
0
0
03 May 2025
A Physics-preserved Transfer Learning Method for Differential Equations
A Physics-preserved Transfer Learning Method for Differential Equations
Hao-Ran Yang
Chuan-Xian Ren
143
0
0
02 May 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
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
Mamba Neural Operator: Who Wins? Transformers vs. State-Space Models for PDEs
Mamba Neural Operator: Who Wins? Transformers vs. State-Space Models for PDEs
Chun-Wun Cheng
Jiahao Huang
Yi Zhang
Guang Yang
Carola-Bibiane Schonlieb
Angelica I Aviles-Rivero
Mamba
AI4CE
90
2
0
03 Oct 2024
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems
Bocheng Zeng
Qi Wang
M. Yan
Yong-Jin Liu
Ruizhi Chengze
Yi Zhang
Hongsheng Liu
Zidong Wang
Hao Sun
AI4CE
40
3
0
02 Oct 2024
Text2PDE: Latent Diffusion Models for Accessible Physics Simulation
Text2PDE: Latent Diffusion Models for Accessible Physics Simulation
Anthony Y. Zhou
Zijie Li
Michael Schneier
John R Buchanan Jr
Amir Barati Farimani
AI4CE
DiffM
67
5
0
02 Oct 2024
Data-Driven Stochastic Closure Modeling via Conditional Diffusion Model and Neural Operator
Data-Driven Stochastic Closure Modeling via Conditional Diffusion Model and Neural Operator
Xinghao Dong
Chuanqi Chen
Jin-Long Wu
DiffM
AI4CE
41
5
0
06 Aug 2024
Towards General Neural Surrogate Solvers with Specialized Neural
  Accelerators
Towards General Neural Surrogate Solvers with Specialized Neural Accelerators
Chenkai Mao
Robert Lupoiu
Tianxiang Dai
Mingkun Chen
Jonathan A. Fan
AI4CE
41
5
0
02 May 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE
  Pre-Training
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training
Zhongkai Hao
Chang Su
Songming Liu
Julius Berner
Chengyang Ying
Hang Su
A. Anandkumar
Jian Song
Jun Zhu
AI4TS
AI4CE
26
22
0
06 Mar 2024
Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators
Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators
Benedikt Alkin
Andreas Fürst
Simon Schmid
Lukas Gruber
Markus Holzleitner
Johannes Brandstetter
PINN
AI4CE
45
8
0
19 Feb 2024
Generating synthetic data for neural operators
Generating synthetic data for neural operators
Erisa Hasani
Rachel A. Ward
AI4CE
47
8
0
04 Jan 2024
Deciphering and integrating invariants for neural operator learning with
  various physical mechanisms
Deciphering and integrating invariants for neural operator learning with various physical mechanisms
Rui Zhang
Qi Meng
Zhi-Ming Ma
AI4CE
30
7
0
24 Nov 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for
  Machine Learning and Process-based Hydrology
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology
Qingsong Xu
Yilei Shi
Jonathan Bamber
Ye Tuo
Ralf Ludwig
Xiao Xiang Zhu
AI4CE
20
10
0
08 Oct 2023
Learning to simulate partially known spatio-temporal dynamics with
  trainable difference operators
Learning to simulate partially known spatio-temporal dynamics with trainable difference operators
Xiang Huang
Zhuoyuan Li
Hongsheng Liu
Zidong Wang
Hongye Zhou
Bin Dong
Bei Hua
AI4TS
AI4CE
32
1
0
26 Jul 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation
Rui Zhang
Qi Meng
Rongchan Zhu
Yue Wang
Wenlei Shi
Shihua Zhang
Zhi-Ming Ma
Tie-Yan Liu
DiffM
AI4CE
51
4
0
10 Feb 2023
NeurOLight: A Physics-Agnostic Neural Operator Enabling Parametric
  Photonic Device Simulation
NeurOLight: A Physics-Agnostic Neural Operator Enabling Parametric Photonic Device Simulation
Jiaqi Gu
Zhengqi Gao
Chenghao Feng
Hanqing Zhu
Ray T. Chen
Duane S. Boning
David Z. Pan
19
16
0
19 Sep 2022
Fourier Neural Operator with Learned Deformations for PDEs on General
  Geometries
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries
Zong-Yi Li
Daniel Zhengyu Huang
Burigede Liu
Anima Anandkumar
AI4CE
119
251
0
11 Jul 2022
Learning to correct spectral methods for simulating turbulent flows
Learning to correct spectral methods for simulating turbulent flows
Gideon Dresdner
Dmitrii Kochkov
Peter C. Norgaard
Leonardo Zepeda-Núnez
Jamie A. Smith
M. Brenner
Stephan Hoyer
AI4CE
17
56
0
01 Jul 2022
Transformer for Partial Differential Equations' Operator Learning
Transformer for Partial Differential Equations' Operator Learning
Zijie Li
Kazem Meidani
A. Farimani
42
140
0
26 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
220
2,287
0
18 Oct 2020
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