Fourier Neural Operator for Parametric Partial Differential Equations

18 October 2020

Zong-Yi Li

Nikola B. Kovachki

Kamyar Azizzadenesheli

Papers citing "Fourier Neural Operator for Parametric Partial Differential Equations"

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Towards Learned Simulators for Cell Migration Koen Minartz Y. Poels Vlado Menkovski 37 1 0 02 Oct 2022
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Implicit Neural Spatial Representations for Time-dependent PDEs Honglin Chen Rundi Wu E. Grinspun Changxi Zheng Julius Berner AI4CE 25 33 0 30 Sep 2022
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Neural Integral Equations E. Zappala Antonio H. O. Fonseca J. O. Caro David van Dijk 33 10 0 30 Sep 2022
Transformer Meets Boundary Value Inverse Problems Ruchi Guo Shuhao Cao Long Chen MedIm 38 21 0 29 Sep 2022
Continuous PDE Dynamics Forecasting with Implicit Neural Representations Yuan Yin Matthieu Kirchmeyer Jean-Yves Franceschi A. Rakotomamonjy Patrick Gallinari AI4CE 25 49 0 29 Sep 2022
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Phy-Taylor: Physics-Model-Based Deep Neural Networks Y. Mao L. Sha Huajie Shao Yuliang Gu Qixin Wang Tarek F. Abdelzaher PINN AI4CE 34 1 0 27 Sep 2022
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Solving Seismic Wave Equations on Variable Velocity Models with Fourier Neural Operator Bian Li Hanchen Wang Shihang Feng Xiu Yang Youzuo Lin 71 33 0 25 Sep 2022
Differentiable physics-enabled closure modeling for Burgers' turbulence Varun Shankar V. Puri R. Balakrishnan R. Maulik V. Viswanathan AI4CE 11 16 0 23 Sep 2022
DeepGraphONet: A Deep Graph Operator Network to Learn and Zero-shot Transfer the Dynamic Response of Networked Systems Yixuan Sun Christian Moya Guang Lin Meng Yue GNN 50 9 0 21 Sep 2022
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 27 16 0 19 Sep 2022
Self-supervised learning of hologram reconstruction using physics consistency Luzhe Huang Hanlong Chen Tairan Liu Aydogan Ozcan DiffM SSL 31 41 0 17 Sep 2022
Bounding the Rademacher Complexity of Fourier neural operators Taeyoung Kim Myung-joo Kang AI4CE 25 9 0 12 Sep 2022
Clifford Neural Layers for PDE Modeling Johannes Brandstetter Rianne van den Berg Max Welling Jayesh K. Gupta AI4CE 62 81 0 08 Sep 2022
Semi-supervised Invertible Neural Operators for Bayesian Inverse Problems Sebastian Kaltenbach P. Perdikaris P. Koutsourelakis 35 24 0 06 Sep 2022
MRF-PINN: A Multi-Receptive-Field convolutional physics-informed neural network for solving partial differential equations Shihong Zhang Chi Zhang Bo Wang AI4CE 24 3 0 06 Sep 2022
A variational neural network approach for glacier modelling with nonlinear rheology Tiangang Cui Zhongjian Wang Zhiwen Zhang 32 4 0 05 Sep 2022
Deep importance sampling using tensor trains with application to a priori and a posteriori rare event estimation Tiangang Cui S. Dolgov Robert Scheichl 44 3 0 05 Sep 2022
Learning Differential Operators for Interpretable Time Series Modeling Yingtao Luo Chang Xu Yang Liu Weiqing Liu Shun Zheng Jiang Bian AI4TS 45 8 0 03 Sep 2022
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$Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator$ Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator Ming Zhong Zhenya Yan 19 14 0 29 Aug 2022
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AI-coupled HPC Workflows S. Jha V. Pascuzzi Matteo Turilli 26 9 0 24 Aug 2022
Learning governing physics from output only measurements Tapas Tripura S. Chakraborty 26 1 0 11 Aug 2022
Multi-fidelity wavelet neural operator with application to uncertainty quantification A. Thakur Tapas Tripura S. Chakraborty 32 12 0 11 Aug 2022
A Model-Constrained Tangent Slope Learning Approach for Dynamical Systems Hai V. Nguyen T. Bui-Thanh 39 2 0 09 Aug 2022
Fully probabilistic deep models for forward and inverse problems in parametric PDEs Arnaud Vadeboncoeur Ömer Deniz Akyildiz Ieva Kazlauskaite Mark Girolami F. Cirak AI4CE 23 17 0 09 Aug 2022
On Fast Simulation of Dynamical System with Neural Vector Enhanced Numerical Solver Zhongzhan Huang Senwei Liang Hong Zhang Haizhao Yang Liang Lin AI4CE 43 8 0 07 Aug 2022
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Approximate Bayesian Neural Operators: Uncertainty Quantification for Parametric PDEs Emilia Magnani Nicholas Kramer Runa Eschenhagen Lorenzo Rosasco Philipp Hennig UQCV BDL 21 9 0 02 Aug 2022
Physics-informed Deep Super-resolution for Spatiotemporal Data Pu Ren Chengping Rao Yang Liu Zihan Ma Qi Wang Jianxin Wang Hao Sun 24 13 0 02 Aug 2022
Semi-supervised Learning of Partial Differential Operators and Dynamical Flows Michael Rotman A. Dekel R. Ber Lior Wolf Yaron Oz AI4CE 21 4 0 28 Jul 2022
PIXEL: Physics-Informed Cell Representations for Fast and Accurate PDE Solvers Namgyu Kang Byeonghyeon Lee Youngjoon Hong S. Yun Eunbyung Park PINN AI4CE 22 13 0 26 Jul 2022
Reliable amortized variational inference with physics-based latent distribution correction Ali Siahkoohi G. Rizzuti Rafael Orozco Felix J. Herrmann 36 27 0 24 Jul 2022
Multiscale Neural Operator: Learning Fast and Grid-independent PDE Solvers Björn Lütjens Catherine H. Crawford C. Watson C. Hill Dava Newman AI4CE 16 9 0 23 Jul 2022