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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
Probabilistic Numerical Method of Lines for Time-Dependent Partial Differential Equations Nicholas Kramer Jonathan Schmidt Philipp Hennig 77 19 0 22 Oct 2021
One-Shot Transfer Learning of Physics-Informed Neural Networks Shaan Desai M. Mattheakis H. Joy P. Protopapas Stephen J. Roberts PINN AI4CE 88 58 0 21 Oct 2021
Neural Stochastic PDEs: Resolution-Invariant Learning of Continuous Spatiotemporal Dynamics C. Salvi M. Lemercier A. Gerasimovičs AI4CE 155 45 0 19 Oct 2021
Beltrami Flow and Neural Diffusion on Graphs B. Chamberlain J. Rowbottom D. Eynard Francesco Di Giovanni Xiaowen Dong M. Bronstein AI4CE 88 86 0 18 Oct 2021
On the difficulty of learning chaotic dynamics with RNNs Jonas M. Mikhaeil Zahra Monfared Daniel Durstewitz 131 59 0 14 Oct 2021
NAS-Bench-360: Benchmarking Neural Architecture Search on Diverse Tasks Renbo Tu Nicholas Roberts M. Khodak Jun Shen Frederic Sala Ameet Talwalkar 70 35 0 12 Oct 2021
Deep Bayesian inference for seismic imaging with tasks Ali Siahkoohi G. Rizzuti Felix J. Herrmann BDL UQCV 97 21 0 10 Oct 2021
A Review of Physics-based Machine Learning in Civil Engineering S. Vadyala S. N. Betgeri J. Matthews Elizabeth Matthews AI4CE 89 156 0 09 Oct 2021
Deep Learning to Estimate Permeability using Geophysical Data M. Mudunuru E. Cromwell H. Wang X. Chen 56 13 0 08 Oct 2021
A composable autoencoder-based iterative algorithm for accelerating numerical simulations Rishikesh Ranade C. Hill Haiyang He Amir Maleki Norman Chang Jay Pathak AI4CE 69 6 0 07 Oct 2021
Enhancing Computational Fluid Dynamics with Machine Learning Ricardo Vinuesa Steven L. Brunton AI4CE 184 385 0 05 Oct 2021
Applying Machine Learning to Study Fluid Mechanics Steven L. Brunton PINN AI4CE 63 100 0 05 Oct 2021
Improved architectures and training algorithms for deep operator networks Sizhuang He Hanwen Wang P. Perdikaris AI4CE 112 107 0 04 Oct 2021
OSCAR: Data-Driven Operational Space Control for Adaptive and Robust Robot Manipulation J. Wong Viktor Makoviychuk Anima Anandkumar Yuke Zhu 82 13 0 02 Oct 2021
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 204 220 0 28 Sep 2021
Using neural networks to solve the 2D Poisson equation for electric field computation in plasma fluid simulations Li Cheng Ekhi Ajuria Illarramendi Guillaume Bogopolsky M. Bauerheim B. Cuenot 80 19 0 27 Sep 2021
Physics-informed Convolutional Neural Networks for Temperature Field Prediction of Heat Source Layout without Labeled Data Xiaoyu Zhao Zhiqiang Gong Yunyang Zhang Wen Yao Xiaoqian Chen OOD AI4CE 133 96 0 26 Sep 2021
Model reduction for the material point method via an implicit neural representation of the deformation map Julius Berner Maurizio M. Chiaramonte E. Grinspun Kevin Carlberg 104 15 0 25 Sep 2021
Approximate Latent Force Model Inference Jacob Moss Felix L. Opolka Bianca Dumitrascu Pietro Lio 134 3 0 24 Sep 2021
PCNN: A physics-constrained neural network for multiphase flows Haoyang Zheng Ziyang Huang Guang Lin PINN 55 8 0 18 Sep 2021
Discretization-independent surrogate modeling over complex geometries using hypernetworks and implicit representations J. Duvall Karthik Duraisamy Shaowu Pan AI4CE 74 4 0 14 Sep 2021
Differentiable Physics: A Position Piece Bharath Ramsundar Dilip Krishnamurthy V. Viswanathan PINN AI4CE 70 15 0 14 Sep 2021
Learning Density Distribution of Reachable States for Autonomous Systems Yue Meng Dawei Sun Zeng Qiu Md Tawhid Bin Waez Chuchu Fan 115 19 0 14 Sep 2021
U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow Gege Wen Zong-Yi Li Kamyar Azizzadenesheli Anima Anandkumar S. Benson AI4CE 111 401 0 03 Sep 2021
Towards extraction of orthogonal and parsimonious non-linear modes from turbulent flows Hamidreza Eivazi S. L. C. Martínez S. Hoyas Ricardo Vinuesa 89 96 0 03 Sep 2021
Semi-Implicit Neural Solver for Time-dependent Partial Differential Equations Suprosanna Shit Ivan Ezhov Leon Mächler R. Abinav Jana Lipkova Johannes C. Paetzold Florian Kofler Marie Piraud Bjoern Menze AI4CE 122 1 0 03 Sep 2021
Learning Partial Differential Equations in Reproducing Kernel Hilbert Spaces George Stepaniants 95 19 0 26 Aug 2021
Simulating progressive intramural damage leading to aortic dissection using an operator-regression neural network Minglang Yin Ehsan Ban B. Rego Enrui Zhang C. Cavinato J. Humphrey George Karniadakis AI4CE 97 54 0 25 Aug 2021
Fourier Neural Operator Networks: A Fast and General Solver for the Photoacoustic Wave Equation Steven Guan Ko-Tsung Hsu P. Chitnis 75 28 0 20 Aug 2021
Neural TMDlayer: Modeling Instantaneous flow of features via SDE Generators Zihang Meng Vikas Singh Sathya Ravi 44 1 0 19 Aug 2021
Neural Operator: Learning Maps Between Function Spaces Nikola B. Kovachki Zong-Yi Li Burigede Liu Kamyar Azizzadenesheli K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 170 453 0 19 Aug 2021
A Machine Learning Surrogate Modeling Benchmark for Temperature Field Reconstruction of Heat-Source Systems Xiaoqian Chen Zhiqiang Gong Xiaoyu Zhao Weien Zhou Wen Yao AI4CE 139 22 0 17 Aug 2021
SURFNet: Super-resolution of Turbulent Flows with Transfer Learning using Small Datasets Octavi Obiols-Sales Abhinav Vishnu Nicholas Malaya Aparna Chandramowlishwaran AI4CE 76 25 0 17 Aug 2021
Seismic wave propagation and inversion with Neural Operators Yan Yang Angela F. Gao J. Castellanos Zachary E. Ross Kamyar Azizzadenesheli R. Clayton 75 74 0 11 Aug 2021
Training multi-objective/multi-task collocation physics-informed neural network with student/teachers transfer learnings B. Bahmani WaiChing Sun PINN AI4CE 98 18 0 24 Jul 2021
Learning the structure of wind: A data-driven nonlocal turbulence model for the atmospheric boundary layer B. Keith U. Khristenko B. Wohlmuth 60 7 0 23 Jul 2021
Neural Fixed-Point Acceleration for Convex Optimization Shobha Venkataraman Brandon Amos 90 14 0 21 Jul 2021
A Robust Deep Learning Workflow to Predict Multiphase Flow Behavior during Geological CO2 Sequestration Injection and Post-Injection Periods B. Yan Bailian Chen D. Harp R. Pawar AI4CE 85 96 0 15 Jul 2021
A Framework for Machine Learning of Model Error in Dynamical Systems Matthew E. Levine Andrew M. Stuart 111 69 0 14 Jul 2021
MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs Lulu Zhang Yaoyu Zhang Yaoyu Zhang Weinan E Z. Xu Zheng Ma AI4CE 59 33 0 08 Jul 2021
Physics-Guided Deep Learning for Dynamical Systems: A Survey Rui Wang Rose Yu AI4CE PINN 109 69 0 02 Jul 2021
Global Filter Networks for Image Classification Yongming Rao Wenliang Zhao Zheng Zhu Jiwen Lu Jie Zhou ViT 77 475 0 01 Jul 2021
Error analysis for physics informed neural networks (PINNs) approximating Kolmogorov PDEs Tim De Ryck Siddhartha Mishra PINN 99 103 0 28 Jun 2021
PhyCRNet: Physics-informed Convolutional-Recurrent Network for Solving Spatiotemporal PDEs Pu Ren Chengping Rao Yang Liu Jianxun Wang Hao Sun DiffM AI4CE 136 205 0 26 Jun 2021
GRAND: Graph Neural Diffusion B. Chamberlain J. Rowbottom Maria I. Gorinova Stefan Webb Emanuele Rossi M. Bronstein GNN 132 270 0 21 Jun 2021
Towards Optimally Weighted Physics-Informed Neural Networks in Ocean Modelling T. Wolff Hugo Carrillo Lincopi Luis Martí Nayat Sánchez-Pi PINN AI4CE 74 13 0 16 Jun 2021
Next Generation Reservoir Computing D. Gauthier Erik Bollt Aaron Griffith W. A. S. Barbosa 107 418 0 14 Jun 2021
On the Representation of Solutions to Elliptic PDEs in Barron Spaces Ziang Chen Jianfeng Lu Yulong Lu 83 29 0 14 Jun 2021
Learning Dissipative Dynamics in Chaotic Systems Zong-Yi Li Miguel Liu-Schiaffini Nikola B. Kovachki Burigede Liu Kamyar Azizzadenesheli K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 85 31 0 13 Jun 2021
Encoding physics to learn reaction-diffusion processes Chengping Rao Pu Ren Qi Wang O. Buyukozturk Haoqin Sun Yang Liu PINN AI4CE DiffM 105 97 0 09 Jun 2021