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
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Deep Learning for Koopman Operator Estimation in Idealized Atmospheric Dynamics David Millard Arielle Carr Stéphane Gaudreault 49 3 0 10 Sep 2024
A Primer on Variational Inference for Physics-Informed Deep Generative Modelling Alex Glyn-Davies A. Vadeboncoeur O. Deniz Akyildiz Ieva Kazlauskaite Mark Girolami PINN 70 0 0 10 Sep 2024
Component Fourier Neural Operator for Singularly Perturbed Differential Equations Ye Li Ting Du Yiwen Pang Zhongyi Huang 21 1 0 07 Sep 2024
Up-sampling-only and Adaptive Mesh-based GNN for Simulating Physical Systems Fu Lin Jiasheng Shi Shijie Luo Qinpei Zhao Weixiong Rao Lei Chen AI4CE 32 0 0 07 Sep 2024
Fourier Neural Operators for Learning Dynamics in Quantum Spin Systems Freya Shah T. Patti Julius Berner Bahareh Tolooshams Jean Kossaifi Anima Anandkumar 31 1 0 05 Sep 2024
Adversarial Learning for Neural PDE Solvers with Sparse Data Yunpeng Gong Yongjie Hou Zhenzhong Wang Zexin Lin Min Jiang AAML 40 5 0 04 Sep 2024
Active Symbolic Discovery of Ordinary Differential Equations via Phase Portrait Sketching Nan Jiang Md Nasim Yexiang Xue 29 0 0 02 Sep 2024
Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid Subhankar Sarkar Souvik Chakraborty 25 0 0 01 Sep 2024
Generating Physical Dynamics under Priors Zihan Zhou Xiaoxue Wang Tianshu Yu DiffM AI4CE 69 0 0 01 Sep 2024
Reconstructing unsteady flows from sparse, noisy measurements with a physics-constrained convolutional neural network Yaxin Mo Luca Magri AI4CE 30 0 0 30 Aug 2024
Towards Efficient Modelling of String Dynamics: A Comparison of State Space and Koopman based Deep Learning Methods Rodrigo Diaz Carlos De La Vega Martin Mark Sandler 33 2 0 29 Aug 2024
Fourier Spectral Physics Informed Neural Network: An Efficient and Low-Memory PINN Tianchi Yu Yiming Qi Ivan V. Oseledets Shiyi Chen 24 0 0 29 Aug 2024
TG-PhyNN: An Enhanced Physically-Aware Graph Neural Network framework for forecasting Spatio-Temporal Data Zakaria Elabid Lena Sasal Daniel Busby Abdenour Hadid AI4CE 33 1 0 29 Aug 2024
LeMON: Learning to Learn Multi-Operator Networks Jingmin Sun Zecheng Zhang Hayden Schaeffer 38 6 0 28 Aug 2024
Data-driven Effective Modeling of Multiscale Stochastic Dynamical Systems Yuán Chen Dongbin Xiu 34 0 0 27 Aug 2024
General-Kindred Physics-Informed Neural Network to the Solutions of Singularly Perturbed Differential Equations Sen Wang Peizhi Zhao Qinglong Ma Tao Song PINN 25 3 0 27 Aug 2024
STAResNet: a Network in Spacetime Algebra to solve Maxwell's PDEs Alberto Pepe Sven Buchholz Joan Lasenby 30 0 0 24 Aug 2024
Frequency-aware Feature Fusion for Dense Image Prediction Linwei Chen Ying Fu Lin Gu Chenggang Yan Tatsuya Harada Gao Huang 3DV 53 17 0 23 Aug 2024
Multilevel CNNs for Parametric PDEs based on Adaptive Finite Elements Janina Enrica Schutte Martin Eigel AI4CE 27 1 0 20 Aug 2024
Inferring Underwater Topography with FINN Coşku Can Horuz Matthias Karlbauer T. Praditia S. Oladyshkin Wolfgang Nowak Sebastian Otte AI4CE 32 0 0 20 Aug 2024
Fredholm Integral Equations Neural Operator (FIE-NO) for Data-Driven Boundary Value Problems Haoyang Jiang Yongzhi Qu AI4CE 25 0 0 20 Aug 2024
Liquid Fourier Latent Dynamics Networks for fast GPU-based numerical simulations in computational cardiology Matteo Salvador Alison L. Marsden AI4CE 35 1 0 19 Aug 2024
A systematic dataset generation technique applied to data-driven automotive aerodynamics Mark Benjamin Gianluca Iaccarino 29 1 0 14 Aug 2024
Operator Learning Using Random Features: A Tool for Scientific Computing Nicholas H. Nelsen Andrew M. Stuart 45 12 0 12 Aug 2024
MetMamba: Regional Weather Forecasting with Spatial-Temporal Mamba Model Haoyu Qin Yungang Chen Qianchuan Jiang Pengchao Sun Xiancai Ye Chao Lin Mamba AI4CE 31 1 0 12 Aug 2024
Beyond Closure Models: Learning Chaotic-Systems via Physics-Informed Neural Operators Chuwei Wang Julius Berner Zongyi Li Di Zhou Jiayun Wang Jane Bae Anima Anandkumar AI4CE 28 1 0 09 Aug 2024
Higher-order-ReLU-KANs (HRKANs) for solving physics-informed neural networks (PINNs) more accurately, robustly and faster Chi Chiu So Siu Pang Yung 32 6 0 09 Aug 2024
UGrid: An Efficient-And-Rigorous Neural Multigrid Solver for Linear PDEs Xi Han Fei Hou Hong Qin AI4CE 20 1 0 09 Aug 2024
A TVD neural network closure and application to turbulent combustion Seung Won Suh J. MacArt Luke N Olson Jonathan B Freund PINN 28 0 0 06 Aug 2024
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
Huge Ensembles Part I: Design of Ensemble Weather Forecasts using Spherical Fourier Neural Operators Ankur Mahesh William D. Collins Boris Bonev Noah D. Brenowitz Y. Cohen ... Michael S. Pritchard David Pruitt Mark Risser Shashank Subramanian Jared Willard 60 9 0 06 Aug 2024
Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving Varun V. Kumar S. Goswami Katiana Kontolati Michael D. Shields George Em Karniadakis AI4CE 71 6 0 05 Aug 2024
Optimal Estimation of Structured Covariance Operators Omar Al Ghattas Jiaheng Chen D. Sanz-Alonso Nathan Waniorek 39 3 0 04 Aug 2024
DeepNetBeam: A Framework for the Analysis of Functionally Graded Porous Beams M. Eshaghi M. Bamdad C. Anitescu Yizheng Wang X. Zhuang Timon Rabczuk AI4CE 29 7 0 04 Aug 2024
Neural Network Emulator for Atmospheric Chemical ODE Zhi-Song Liu Petri S. Clusius Michael Boy 42 3 0 03 Aug 2024
Physics-Informed Geometry-Aware Neural Operator Weiheng Zhong Hadi Meidani AI4CE 40 4 0 02 Aug 2024
PINNs for Medical Image Analysis: A Survey C. Banerjee Kien Nguyen Olivier Salvado Truyen Tran Clinton Fookes AI4CE 31 1 0 02 Aug 2024
Active Learning for Neural PDE Solvers Daniel Musekamp Marimuthu Kalimuthu David Holzmüller Makoto Takamoto Carlos Fernandez AI4CE 57 4 0 02 Aug 2024
Alpha-VI DeepONet: A prior-robust variational Bayesian approach for enhancing DeepONets with uncertainty quantification Soban Nasir Lone Subhayan De R. Nayek BDL 37 1 0 01 Aug 2024
Generative Learning of the Solution of Parametric Partial Differential Equations Using Guided Diffusion Models and Virtual Observations Han Gao Sebastian Kaltenbach Petros Koumoutsakos DiffM AI4CE 37 4 0 31 Jul 2024
AhmedML: High-Fidelity Computational Fluid Dynamics Dataset for Incompressible, Low-Speed Bluff Body Aerodynamics Neil Ashton Danielle C. Maddix Samuel Gundry Parisa M. Shabestari AI4CE 38 2 0 30 Jul 2024
Weak neural variational inference for solving Bayesian inverse problems without forward models: applications in elastography Vincent C. Scholz Yaohua Zang P. Koutsourelakis 41 3 0 30 Jul 2024
Machine learning surrogates for efficient hydrologic modeling: Insights from stochastic simulations of managed aquifer recharge Timothy Dai Kate Maher Z. Perzan 37 1 0 30 Jul 2024
Aero-Nef: Neural Fields for Rapid Aircraft Aerodynamics Simulations Giovanni Catalani Siddhant Agarwal Xavier Bertrand Frédéric Tost Michaël Bauerheim Joseph Morlier AI4CE 49 4 0 29 Jul 2024
Multi-physics Simulation Guided Generative Diffusion Models with Applications in Fluid and Heat Dynamics Naichen Shi Hao Yan Shenghan Guo Raed Al Kontar DiffM AI4CE 38 0 0 25 Jul 2024
Comparing and Contrasting Deep Learning Weather Prediction Backbones on Navier-Stokes and Atmospheric Dynamics Matthias Karlbauer Danielle C. Maddix Abdul Fatir Ansari Boran Han Gaurav Gupta Yuyang Wang Andrew Stuart Michael W. Mahoney AI4TS 56 1 0 19 Jul 2024
A Resolution Independent Neural Operator B. Bahmani S. Goswami Ioannis G. Kevrekidis Michael D. Shields 39 7 0 17 Jul 2024