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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"

50 / 1,350 papers shown

Title
Neural operator for structural simulation and bridge health monitoring Chawit Kaewnuratchadasorn Jiaji Wang Chul-Woo Kim AI4CE 45 12 0 13 May 2023
LatentPINNs: Generative physics-informed neural networks via a latent representation learning M. H. Taufik T. Alkhalifah AI4CE DiffM 75 4 0 11 May 2023
Generalization bounds for neural ordinary differential equations and deep residual networks Pierre Marion 79 21 0 11 May 2023
Speaker Diaphragm Excursion Prediction: deep attention and online adaptation Yuwei Ren Matt Zivney Yin-Ruey Huang Eddie Choy Chirag I. Patel Hao-Xuan Xu 30 0 0 11 May 2023
Orthogonal Transforms in Neural Networks Amount to Effective Regularization Krzysztof Zajkac Wojciech Sopot Paweł Wachel 47 0 0 10 May 2023
Physics-informed neural network for seismic wave inversion in layered semi-infinite domain Pu Ren Chengping Rao Haoqin Sun Yang Liu PINN 76 5 0 09 May 2023
Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs Pau Batlle Yifan Chen Bamdad Hosseini H. Owhadi Andrew M. Stuart 80 18 0 08 May 2023
Simulation and Prediction of Countercurrent Spontaneous Imbibition at Early and Late Times Using Physics-Informed Neural Networks J. Abbasi P. Andersen PINN 55 5 0 06 May 2023
Learning Stochastic Dynamical System via Flow Map Operator Yuán Chen D. Xiu AI4CE 82 16 0 05 May 2023
Physics-Informed Localized Learning for Advection-Diffusion-Reaction Systems Yuan Wang Soham Sheth AI4CE 30 4 0 05 May 2023
Automated Scientific Discovery: From Equation Discovery to Autonomous Discovery Systems Stefan Kramer Mattia Cerrato Jannis Brugger Sašo Džeroski Ross King 90 12 0 03 May 2023
Learning Controllable Adaptive Simulation for Multi-resolution Physics Tailin Wu Takashi Maruyama Qingqing Zhao Gordon Wetzstein J. Leskovec PINN AI4CE 88 22 0 01 May 2023
Domain Agnostic Fourier Neural Operators Ning Liu S. Jafarzadeh Yue Yu AI4CE 137 26 0 30 Apr 2023
A Direct Sampling-Based Deep Learning Approach for Inverse Medium Scattering Problems Jianfeng Ning Fuqun Han Jun Zou 56 14 0 29 Apr 2023
Pseudo-Hamiltonian neural networks for learning partial differential equations Sølve Eidnes K. Lye 88 11 0 27 Apr 2023
Learning Neural Constitutive Laws From Motion Observations for Generalizable PDE Dynamics Pingchuan Ma Julius Berner B. Deng J. Tenenbaum Tao Du Chuang Gan Wojciech Matusik PINN AI4CE 144 36 0 27 Apr 2023
Learning Neural PDE Solvers with Parameter-Guided Channel Attention M. Takamoto Francesco Alesiani Mathias Niepert 111 26 0 27 Apr 2023
A Survey on Solving and Discovering Differential Equations Using Deep Neural Networks Hyeonjung Jung Jung Jayant Gupta B. Jayaprakash Matthew J. Eagon Harish Selvam Carl Molnar W. Northrop Shashi Shekhar AI4CE 102 5 0 26 Apr 2023
Nonlocality and Nonlinearity Implies Universality in Operator Learning S. Lanthaler Zong-Yi Li Andrew M. Stuart 75 17 0 26 Apr 2023
Kernel Methods are Competitive for Operator Learning Pau Batlle Matthieu Darcy Bamdad Hosseini H. Owhadi 98 41 0 26 Apr 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems Subhayan De P. Brewick 92 0 0 25 Apr 2023
Reconstructing Turbulent Flows Using Physics-Aware Spatio-Temporal Dynamics and Test-Time Refinement Shengyu Chen Tianshu Bao P. Givi Can Zheng Xiaowei Jia AI4CE 73 0 0 24 Apr 2023
Estimating Failure Probability with Neural Operator Hybrid Approach Mujing Li Yani Feng Guanjie Wang 23 2 0 24 Apr 2023
EEE, Remediating the failure of machine learning models via a network-based optimization patch Ruiyuan Kang D. Kyritsis P. Liatsis 118 0 0 22 Apr 2023
Hybrid quantum physics-informed neural networks for simulating computational fluid dynamics in complex shapes Alexander Sedykh Maninadh Podapaka Asel Sagingalieva Karan Pinto M. Pflitsch A. Melnikov AI4CE 99 32 0 21 Apr 2023
Fourier Neural Operator Surrogate Model to Predict 3D Seismic Waves Propagation F. Lehmann F. Gatti M. Bertin Didier Clouteau AI4CE 75 28 0 20 Apr 2023
Optimizing Carbon Storage Operations for Long-Term Safety Yizheng Wang Markus Zechner Gege Wen Anthony Corso John Mern Mykel J. Kochenderfer J. Caers 88 2 0 19 Apr 2023
In-Context Operator Learning with Data Prompts for Differential Equation Problems Liu Yang Siting Liu Tingwei Meng Stanley J. Osher 132 65 0 17 Apr 2023
Learning in latent spaces improves the predictive accuracy of deep neural operators Katiana Kontolati S. Goswami George Karniadakis Michael D. Shields AI4CE 88 22 0 15 Apr 2023
Critical Sampling for Robust Evolution Operator Learning of Unknown Dynamical Systems Ce Zhang Kailiang Wu Zhihai He 75 0 0 15 Apr 2023
Multi-fidelity prediction of fluid flow and temperature field based on transfer learning using Fourier Neural Operator Yanfang Lyu Xiaoyu Zhao Zhiqiang Gong Xiao Kang Wen Yao AI4CE 70 27 0 14 Apr 2023
SpectFormer: Frequency and Attention is what you need in a Vision Transformer Badri N. Patro Vinay P. Namboodiri Vijay Srinivas Agneeswaran ViT 90 49 0 13 Apr 2023
Learned multiphysics inversion with differentiable programming and machine learning M. Louboutin Ziyi Yin Rafael Orozco Thomas J. Grady Ali Siahkoohi G. Rizzuti Philipp A. Witte O. Møyner Gerard Gorman Felix J. Herrmann AI4CE 59 11 0 12 Apr 2023
Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equations Tengfei Xu Dachuan Liu Peng Hao Bo Wang 99 7 0 09 Apr 2023
Neural Operator Learning for Ultrasound Tomography Inversion Haocheng Dai Michael Penwarden Robert M. Kirby S. Joshi AI4CE 148 5 0 06 Apr 2023
Sparse Cholesky Factorization for Solving Nonlinear PDEs via Gaussian Processes Yifan Chen H. Owhadi F. Schafer 96 31 0 03 Apr 2023
$Laplace-fPINNs: Laplace-based fractional physics-informed neural networks for solving forward and inverse problems of subdiffusion$ Laplace-fPINNs: Laplace-based fractional physics-informed neural networks for solving forward and inverse problems of subdiffusion Xiongbin Yan Zhi-Qin John Xu Zheng Ma 65 2 0 03 Apr 2023
Resolution-Invariant Image Classification based on Fourier Neural Operators Samira Kabri Tim Roith Daniel Tenbrinck Martin Burger 70 8 0 02 Apr 2023
Infinite-dimensional reservoir computing Lukas Gonon Lyudmila Grigoryeva Juan-Pablo Ortega 79 9 0 02 Apr 2023
Geometric constraints improve inference of sparsely observed stochastic dynamics Dimitra Maoutsa AI4CE 95 3 0 02 Apr 2023
Multilevel CNNs for Parametric PDEs Cosmas Heiß Ingo Gühring Martin Eigel AI4CE 73 8 0 01 Apr 2023
E( $3$ ) Equivariant Graph Neural Networks for Particle-Based Fluid Mechanics Artur Toshev Gianluca Galletti Johannes Brandstetter Stefan Adami Nikolaus A. Adams 66 5 0 31 Mar 2023
On the Relationships between Graph Neural Networks for the Simulation of Physical Systems and Classical Numerical Methods Artur Toshev Ludger Paehler A. Panizza Nikolaus A. Adams AI4CE PINN 76 5 0 31 Mar 2023
$$\infty$-Diff: Infinite Resolution Diffusion with Subsampled Mollified States$ $\infty$ -Diff: Infinite Resolution Diffusion with Subsampled Mollified States Sam Bond-Taylor Chris G. Willcocks 85 18 0 31 Mar 2023
Deep neural operator for learning transient response of interpenetrating phase composites subject to dynamic loading Minglei Lu Ali Mohammadi Zhaoxu Meng Xuhui Meng Gang Li Zhen Li AI4CE 72 13 0 30 Mar 2023
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 101 21 0 30 Mar 2023
Learning Flow Functions from Data with Applications to Nonlinear Oscillators Miguel Aguiar Amritam Das Karl H. Johansson 35 2 0 29 Mar 2023
Operator learning with PCA-Net: upper and lower complexity bounds S. Lanthaler 72 26 0 28 Mar 2023
Invariant preservation in machine learned PDE solvers via error correction N. McGreivy Ammar Hakim AI4CE PINN 79 9 0 28 Mar 2023
CONFIDE: Contextual Finite Differences Modelling of PDEs Ori Linial Orly Avner Dotan Di Castro 84 0 0 28 Mar 2023