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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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Title
Mitigating spectral bias for the multiscale operator learning Xinliang Liu Bo Xu Shuhao Cao Lei Zhang AI4CE 122 31 0 19 Oct 2022
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PDEBENCH: An Extensive Benchmark for Scientific Machine Learning M. Takamoto T. Praditia Raphael Leiteritz Dan MacKinlay Francesco Alesiani Dirk Pflüger Mathias Niepert AI4CE 116 237 0 13 Oct 2022
FCT-GAN: Enhancing Table Synthesis via Fourier Transform Zilong Zhao Robert Birke L. Chen 117 7 0 12 Oct 2022
Self-Validated Physics-Embedding Network: A General Framework for Inverse Modelling Ruiyuan Kang D. Kyritsis P. Liatsis AI4CE PINN 75 5 0 12 Oct 2022
Guaranteed Conservation of Momentum for Learning Particle-based Fluid Dynamics L. Prantl Benjamin Ummenhofer V. Koltun Nils Thuerey AI4CE PINN 73 32 0 12 Oct 2022
A composable machine-learning approach for steady-state simulations on high-resolution grids Rishikesh Ranade C. Hill Lalit Ghule Jay Pathak AI4CE 80 8 0 11 Oct 2022
MAgNet: Mesh Agnostic Neural PDE Solver Oussama Boussif D. Assouline L. Benabbou Yoshua Bengio AI4CE 217 30 0 11 Oct 2022
Edge-Varying Fourier Graph Networks for Multivariate Time Series Forecasting Kun Yi Qi Zhang Liang Hu Hui He Ning An LongBing Cao ZhenDong Niu AI4TS 123 3 0 06 Oct 2022
Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problems Lianghao Cao Thomas O'Leary-Roseberry Prashant K. Jha J. Oden Omar Ghattas 69 26 0 06 Oct 2022
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities S. Lanthaler Roberto Molinaro Patrik Hadorn Siddhartha Mishra 132 25 0 03 Oct 2022
Towards Learned Simulators for Cell Migration Koen Minartz Y. Poels Vlado Menkovski 49 1 0 02 Oct 2022
Solving Coupled Differential Equation Groups Using PINO-CDE Wenhao Ding Qing He Hanghang Tong Qingjing Wang Ping Wang OOD AI4CE 52 4 0 01 Oct 2022
Implicit Neural Spatial Representations for Time-dependent PDEs Honglin Chen Rundi Wu E. Grinspun Changxi Zheng Julius Berner AI4CE 105 37 0 30 Sep 2022
NTFields: Neural Time Fields for Physics-Informed Robot Motion Planning Ruiqi Ni A. H. Qureshi AI4CE 83 19 0 30 Sep 2022
Towards Multi-spatiotemporal-scale Generalized PDE Modeling Jayesh K. Gupta Johannes Brandstetter AI4CE 137 136 0 30 Sep 2022
Neural Integral Equations E. Zappala Antonio H. O. Fonseca J. O. Caro David van Dijk 69 12 0 30 Sep 2022
Transformer Meets Boundary Value Inverse Problems Ruchi Guo Shuhao Cao Long Chen MedIm 124 23 0 29 Sep 2022
Continuous PDE Dynamics Forecasting with Implicit Neural Representations Yuan Yin Matthieu Kirchmeyer Jean-Yves Franceschi A. Rakotomamonjy Patrick Gallinari AI4CE 94 53 0 29 Sep 2022
GeONet: a neural operator for learning the Wasserstein geodesic Andrew Gracyk Xiaohui Chen OT 87 2 0 28 Sep 2022
Minimax Optimal Kernel Operator Learning via Multilevel Training Jikai Jin Yiping Lu Jose H. Blanchet Lexing Ying 111 13 0 28 Sep 2022
Phy-Taylor: Physics-Model-Based Deep Neural Networks Y. Mao L. Sha Huajie Shao Yuliang Gu Qixin Wang Tarek Abdelzaher PINN AI4CE 101 1 0 27 Sep 2022
Variationally Mimetic Operator Networks Dhruv V. Patel Deep Ray M. Abdelmalik T. Hughes Assad A. Oberai 114 24 0 26 Sep 2022
Fast-FNet: Accelerating Transformer Encoder Models via Efficient Fourier Layers Nurullah Sevim Ege Ozan Özyedek Furkan Şahinuç Aykut Koç 85 12 0 26 Sep 2022
Solving Seismic Wave Equations on Variable Velocity Models with Fourier Neural Operator Bian Li Hanchen Wang Shihang Feng Xiu Yang Youzuo Lin 121 36 0 25 Sep 2022
Differentiable physics-enabled closure modeling for Burgers' turbulence Varun Shankar V. Puri R. Balakrishnan R. Maulik V. Viswanathan AI4CE 48 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 119 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 93 19 0 19 Sep 2022
Self-supervised learning of hologram reconstruction using physics consistency Luzhe Huang Hanlong Chen Tairan Liu Aydogan Ozcan DiffM SSL 68 46 0 17 Sep 2022
Bounding the Rademacher Complexity of Fourier neural operators Taeyoung Kim Myung-joo Kang AI4CE 67 9 0 12 Sep 2022
Clifford Neural Layers for PDE Modeling Johannes Brandstetter Rianne van den Berg Max Welling Jayesh K. Gupta AI4CE 127 90 0 08 Sep 2022
Semi-supervised Invertible Neural Operators for Bayesian Inverse Problems Sebastian Kaltenbach P. Perdikaris P. Koutsourelakis 99 25 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 41 3 0 06 Sep 2022
A variational neural network approach for glacier modelling with nonlinear rheology Tiangang Cui Zhongjian Wang Zhiwen Zhang 63 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 64 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 98 8 0 03 Sep 2022
AutoWS-Bench-101: Benchmarking Automated Weak Supervision with 100 Labels Nicholas Roberts Xintong Li Tzu-Heng Huang Dyah Adila Spencer Schoenberg Chengao Liu Lauren Pick Haotian Ma Aws Albarghouthi Frederic Sala UQCV 117 9 0 30 Aug 2022
$Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator$ Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator Ming Zhong Zhenya Yan 36 17 0 29 Aug 2022
CAS4DL: Christoffel Adaptive Sampling for function approximation via Deep Learning Ben Adcock Juan M. Cardenas N. Dexter 88 10 0 25 Aug 2022
AI-coupled HPC Workflows S. Jha V. Pascuzzi Matteo Turilli 65 10 0 24 Aug 2022
Learning governing physics from output only measurements Tapas Tripura S. Chakraborty 59 1 0 11 Aug 2022
Multi-fidelity wavelet neural operator with application to uncertainty quantification A. Thakur Tapas Tripura S. Chakraborty 76 13 0 11 Aug 2022
A Model-Constrained Tangent Slope Learning Approach for Dynamical Systems Hai V. Nguyen T. Bui-Thanh 56 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 72 18 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 99 9 0 07 Aug 2022
Neural Basis Functions for Accelerating Solutions to High Mach Euler Equations D. Witman Alexander New Hicham Alkendry Honest Mrema 39 4 0 02 Aug 2022
Approximate Bayesian Neural Operators: Uncertainty Quantification for Parametric PDEs Emilia Magnani Nicholas Kramer Runa Eschenhagen Lorenzo Rosasco Philipp Hennig UQCV BDL 62 13 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 114 13 0 02 Aug 2022