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Toward a Better Understanding of Fourier Neural Operators: Analysis and
  Improvement from a Spectral Perspective

Toward a Better Understanding of Fourier Neural Operators: Analysis and Improvement from a Spectral Perspective

10 April 2024
Shaoxiang Qin
Fuyuan Lyu
Wenhui Peng
Dingyang Geng
Ju Wang
Naiping Gao
Xue Liu
L. Wang
    AI4CE
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Papers citing "Toward a Better Understanding of Fourier Neural Operators: Analysis and Improvement from a Spectral Perspective"

7 / 7 papers shown
Title
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
Domain Agnostic Fourier Neural Operators
Domain Agnostic Fourier Neural Operators
Ning Liu
S. Jafarzadeh
Yue Yu
AI4CE
29
23
0
30 Apr 2023
Towards Multi-spatiotemporal-scale Generalized PDE Modeling
Towards Multi-spatiotemporal-scale Generalized PDE Modeling
Jayesh K. Gupta
Johannes Brandstetter
AI4CE
55
118
0
30 Sep 2022
Clifford Neural Layers for PDE Modeling
Clifford Neural Layers for PDE Modeling
Johannes Brandstetter
Rianne van den Berg
Max Welling
Jayesh K. Gupta
AI4CE
62
80
0
08 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
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
217
2,287
0
18 Oct 2020
U-Net: Convolutional Networks for Biomedical Image Segmentation
U-Net: Convolutional Networks for Biomedical Image Segmentation
Olaf Ronneberger
Philipp Fischer
Thomas Brox
SSeg
3DV
300
75,834
0
18 May 2015
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