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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
Forecasting Global Weather with Graph Neural Networks R. Keisler AI4Cl 122 173 0 15 Feb 2022
Learned Turbulence Modelling with Differentiable Fluid Solvers: Physics-based Loss-functions and Optimisation Horizons Bjorn List Li-Wei Chen Nils Thuerey 80 57 0 14 Feb 2022
Local approximation of operators H. Mhaskar 196 8 0 13 Feb 2022
MIONet: Learning multiple-input operators via tensor product Pengzhan Jin Shuai Meng Lu Lu 95 176 0 12 Feb 2022
Deep Neural Networks to Correct Sub-Precision Errors in CFD Akash Haridas N. R. Vadlamani Y. Minamoto 25 5 0 09 Feb 2022
Deep learning fluid flow reconstruction around arbitrary two-dimensional objects from sparse sensors using conformal mappings Ali Girayhan Ozbay S. Laizet AI4CE 62 16 0 08 Feb 2022
Message Passing Neural PDE Solvers Johannes Brandstetter Daniel E. Worrall Max Welling AI4CE 128 288 0 07 Feb 2022
Spectrally Adapted Physics-Informed Neural Networks for Solving Unbounded Domain Problems Mingtao Xia Lucas Böttcher T. Chou 70 21 0 06 Feb 2022
Knowledge-Integrated Informed AI for National Security Anu Myne Kevin J. Leahy Ryan Soklaski 86 0 0 04 Feb 2022
Accelerating Part-Scale Simulation in Liquid Metal Jet Additive Manufacturing via Operator Learning S. Taverniers S. Korneev Kyle Pietrzyk M. Behandish AI4CE 29 1 0 02 Feb 2022
Physical Design using Differentiable Learned Simulators Kelsey R. Allen Tatiana López-Guevara Kimberly L. Stachenfeld Alvaro Sanchez-Gonzalez Peter W. Battaglia Jessica B. Hamrick Tobias Pfaff AI4CE 97 46 0 01 Feb 2022
Generalizing to New Physical Systems via Context-Informed Dynamics Model Matthieu Kirchmeyer Yuan Yin Jérémie Donà Nicolas Baskiotis A. Rakotomamonjy Patrick Gallinari OOD AI4CE 162 37 0 01 Feb 2022
Tutorial on amortized optimization Brandon Amos OffRL 177 48 0 01 Feb 2022
Physics-informed neural networks for non-Newtonian fluid thermo-mechanical problems: an application to rubber calendering process Thi Nguyen Khoa Nguyen T. Dairay Raphael Meunier Mathilde Mougeot PINN AI4CE 128 32 0 31 Jan 2022
FEDformer: Frequency Enhanced Decomposed Transformer for Long-term Series Forecasting Tian Zhou Ziqing Ma Qingsong Wen Xue Wang Liang Sun Rong Jin AI4TS 272 1,475 0 30 Jan 2022
Discovering Nonlinear PDEs from Scarce Data with Physics-encoded Learning Chengping Rao Pu Ren Yang Liu Hao Sun AI4CE 115 30 0 28 Jan 2022
Approximately Equivariant Networks for Imperfectly Symmetric Dynamics Rui Wang Robin Walters Rose Yu 127 82 0 28 Jan 2022
Pseudo-Differential Neural Operator: Generalized Fourier Neural Operator for Learning Solution Operators of Partial Differential Equations J. Shin Jae Yong Lee H. Hwang 67 3 0 28 Jan 2022
Physics-informed ConvNet: Learning Physical Field from a Shallow Neural Network Peng Shi Zhi Zeng Tianshou Liang AI4CE 60 22 0 26 Jan 2022
A Generalized Weighted Optimization Method for Computational Learning and Inversion Bjorn Engquist Kui Ren Yunan Yang 51 4 0 23 Jan 2022
Overview frequency principle/spectral bias in deep learning Z. Xu Yaoyu Zhang Yaoyu Zhang FaML 90 73 0 19 Jan 2022
Neural Residual Flow Fields for Efficient Video Representations Daniel Rho Ju-Hee Cho J. Ko Eunbyung Park 85 21 0 12 Jan 2022
Nonlocal Kernel Network (NKN): a Stable and Resolution-Independent Deep Neural Network Huaiqian You Yue Yu M. DÉlia T. Gao Stewart Silling 102 74 0 06 Jan 2022
Learning Operators with Coupled Attention Georgios Kissas Jacob H. Seidman Leonardo Ferreira Guilhoto V. Preciado George J. Pappas P. Perdikaris 86 113 0 04 Jan 2022
Deep Nonparametric Estimation of Operators between Infinite Dimensional Spaces Hao Liu Haizhao Yang Minshuo Chen T. Zhao Wenjing Liao 216 39 0 01 Jan 2022
Learned Coarse Models for Efficient Turbulence Simulation Kimberly L. Stachenfeld D. Fielding Dmitrii Kochkov M. Cranmer Tobias Pfaff Jonathan Godwin Can Cui S. Ho Peter W. Battaglia Alvaro Sanchez-Gonzalez AI4CE 117 84 0 31 Dec 2021
Frame invariance and scalability of neural operators for partial differential equations M. Zafar Jiequn Han Xueqing Zhou Heng Xiao 25 5 0 28 Dec 2021
Wireless-Enabled Asynchronous Federated Fourier Neural Network for Turbulence Prediction in Urban Air Mobility (UAM) Tengchan Zeng Omid Semiari Walid Saad M. Bennis 65 3 0 26 Dec 2021
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations C. Marcati Christoph Schwab 103 39 0 15 Dec 2021
Learning High-Dimensional Parametric Maps via Reduced Basis Adaptive Residual Networks Thomas O'Leary-Roseberry Xiaosong Du A. Chaudhuri J. Martins Karen E. Willcox Omar Ghattas 66 23 0 14 Dec 2021
How to Avoid Trivial Solutions in Physics-Informed Neural Networks Raphael Leiteritz Dirk Pflüger AI4CE PINN 123 21 0 10 Dec 2021
Surrogate-data-enriched Physics-Aware Neural Networks Raphael Leiteritz Patrick Buchfink B. Haasdonk Dirk Pflüger PINN AI4CE 60 3 0 10 Dec 2021
A Continuous-time Stochastic Gradient Descent Method for Continuous Data Kexin Jin J. Latz Chenguang Liu Carola-Bibiane Schönlieb 91 9 0 07 Dec 2021
Interpolating between BSDEs and PINNs: deep learning for elliptic and parabolic boundary value problems Nikolas Nusken Lorenz Richter PINN DiffM 103 30 0 07 Dec 2021
Emulating Spatio-Temporal Realizations of Three-Dimensional Isotropic Turbulence via Deep Sequence Learning Models M. Momenifar Enmao Diao Vahid Tarokh A. Bragg AI4CE 42 4 0 07 Dec 2021
Deep Decomposition for Stochastic Normal-Abnormal Transport Peirong Liu Yueh Z. Lee S. Aylward Marc Niethammer DiffM MedIm 46 5 0 29 Nov 2021
Factorized Fourier Neural Operators Alasdair Tran A. Mathews Lexing Xie Cheng Soon Ong AI4CE 97 164 0 27 Nov 2021
Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers John Guibas Morteza Mardani Zong-Yi Li Andrew Tao Anima Anandkumar Bryan Catanzaro 113 246 0 24 Nov 2021
Composing Partial Differential Equations with Physics-Aware Neural Networks Matthias Karlbauer T. Praditia S. Otte S. Oladyshkin Wolfgang Nowak Martin Volker Butz AI4CE 92 20 0 23 Nov 2021
The Pseudo Projection Operator: Applications of Deep Learning to Projection Based Filtering in Non-Trivial Frequency Regimes Matthew L. Weiss Nathan C. Frey S. Samsi Randy C. Paffenroth V. Gadepally 23 0 0 13 Nov 2021
Physics-enhanced deep surrogates for partial differential equations R. Pestourie Youssef Mroueh Chris Rackauckas Payel Das Steven G. Johnson PINN AI4CE 59 15 0 10 Nov 2021
Machine-learning custom-made basis functions for partial differential equations B. Meuris S. Qadeer P. Stinis 38 3 0 09 Nov 2021
Solving PDE-constrained Control Problems Using Operator Learning Rakhoon Hwang Jae Yong Lee J. Shin H. Hwang AI4CE 167 48 0 09 Nov 2021
Physics-Informed Neural Operator for Learning Partial Differential Equations Zong-Yi Li Hongkai Zheng Nikola B. Kovachki David Jin Haoxuan Chen Burigede Liu Kamyar Azizzadenesheli Anima Anandkumar AI4CE 129 428 0 06 Nov 2021
Probabilistic Deep Learning for Real-Time Large Deformation Simulations Saurabh Deshpande J. Lengiewicz Stéphane P. A. Bordas OOD BDL AI4CE 36 51 0 02 Nov 2021
Solving Partial Differential Equations with Point Source Based on Physics-Informed Neural Networks Xiang Huang Hongsheng Liu Beiji Shi Zidong Wang Kan Yang ... Jing Zhou Fan Yu Bei Hua Lei Chen Bin Dong 75 22 0 02 Nov 2021
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method Zhongjian Wang Jack Xin Zhiwen Zhang 93 15 0 02 Nov 2021
Reverse engineering recurrent neural networks with Jacobian switching linear dynamical systems Jimmy T.H. Smith Scott W. Linderman David Sussillo 121 30 0 01 Nov 2021
FC2T2: The Fast Continuous Convolutional Taylor Transform with Applications in Vision and Graphics Henning Lange J. Nathan Kutz 63 2 0 29 Oct 2021
Neural Flows: Efficient Alternative to Neural ODEs Marin Bilovs Johanna Sommer Syama Sundar Rangapuram Tim Januschowski Stephan Günnemann AI4TS 78 77 0 25 Oct 2021