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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Improved architectures and training algorithms for deep operator networks Sizhuang He Hanwen Wang P. Perdikaris AI4CE 49 105 0 04 Oct 2021
OSCAR: Data-Driven Operational Space Control for Adaptive and Robust Robot Manipulation J. Wong Viktor Makoviychuk Anima Anandkumar Yuke Zhu 29 11 0 02 Oct 2021
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 126 200 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 45 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 77 91 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 29 15 0 25 Sep 2021
Approximate Latent Force Model Inference Jacob Moss Felix L. Opolka Bianca Dumitrascu Pietro Lió 43 3 0 24 Sep 2021
PCNN: A physics-constrained neural network for multiphase flows Haoyang Zheng Ziyang Huang Guang Lin PINN 24 8 0 18 Sep 2021
Discretization-independent surrogate modeling over complex geometries using hypernetworks and implicit representations J. Duvall Karthik Duraisamy Shaowu Pan AI4CE 29 3 0 14 Sep 2021
Differentiable Physics: A Position Piece Bharath Ramsundar Dilip Krishnamurthy V. Viswanathan PINN AI4CE 40 14 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 77 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 34 366 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 27 92 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 H. Menze AI4CE 25 1 0 03 Sep 2021
Learning Partial Differential Equations in Reproducing Kernel Hilbert Spaces George Stepaniants 49 15 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 26 52 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 28 25 0 20 Aug 2021
Neural TMDlayer: Modeling Instantaneous flow of features via SDE Generators Zihang Meng Vikas Singh Sathya Ravi 32 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 37 440 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 31 21 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 29 24 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 11 67 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 31 17 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 19 7 0 23 Jul 2021
Neural Fixed-Point Acceleration for Convex Optimization Shobha Venkataraman Brandon Amos 38 13 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 31 92 0 15 Jul 2021
A Framework for Machine Learning of Model Error in Dynamical Systems Matthew E. Levine Andrew M. Stuart 27 67 0 14 Jul 2021
MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs Lulu Zhang Tao Luo Yaoyu Zhang Weinan E Z. Xu Zheng Ma AI4CE 19 33 0 08 Jul 2021
Physics-Guided Deep Learning for Dynamical Systems: A Survey Rui Wang Rose Yu AI4CE PINN 39 64 0 02 Jul 2021
Global Filter Networks for Image Classification Yongming Rao Wenliang Zhao Zheng Zhu Jiwen Lu Jie Zhou ViT 28 450 0 01 Jul 2021
Error analysis for physics informed neural networks (PINNs) approximating Kolmogorov PDEs Tim De Ryck Siddhartha Mishra PINN 21 100 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 39 192 0 26 Jun 2021
GRAND: Graph Neural Diffusion B. Chamberlain J. Rowbottom Maria I. Gorinova Stefan Webb Emanuele Rossi M. Bronstein GNN 24 253 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 16 12 0 16 Jun 2021
Next Generation Reservoir Computing D. Gauthier Erik Bollt Aaron Griffith W. A. S. Barbosa 11 386 0 14 Jun 2021
On the Representation of Solutions to Elliptic PDEs in Barron Spaces Ziang Chen Jianfeng Lu Yulong Lu 35 26 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 23 25 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 30 78 0 09 Jun 2021
LEADS: Learning Dynamical Systems that Generalize Across Environments Yuan Yin Ibrahim Ayed Emmanuel de Bézenac Nicolas Baskiotis Patrick Gallinari OOD 13 29 0 08 Jun 2021
Scalable conditional deep inverse Rosenblatt transports using tensor-trains and gradient-based dimension reduction Tiangang Cui S. Dolgov O. Zahm 24 15 0 08 Jun 2021
Physics-Guided Discovery of Highly Nonlinear Parametric Partial Differential Equations Yingtao Luo Qiang Liu Yuntian Chen Wenbo Hu Tian Tian Jun Zhu DiffM 50 4 0 02 Jun 2021
Choose a Transformer: Fourier or Galerkin Shuhao Cao 42 225 0 31 May 2021
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems Hai V. Nguyen T. Bui-Thanh PINN AI4CE 16 9 0 25 May 2021
Learning Green's Functions of Linear Reaction-Diffusion Equations with Application to Fast Numerical Solver Yuankai Teng Xiaoping Zhang Zhu Wang L. Ju 10 14 0 23 May 2021
BubbleNet: Inferring micro-bubble dynamics with semi-physics-informed deep learning Hanfeng Zhai Quan Zhou G. Hu PINN AI4CE 17 16 0 15 May 2021
Learning Runge-Kutta Integration Schemes for ODE Simulation and Identification Said Ouala L. Debreu A. Pascual Bertrand Chapron F. Collard L. Gaultier Ronan Fablet 12 4 0 11 May 2021
FNet: Mixing Tokens with Fourier Transforms James Lee-Thorp Joshua Ainslie Ilya Eckstein Santiago Ontanon 24 517 0 09 May 2021
Improving Deep Learning Performance for Predicting Large-Scale Porous-Media Flow through Feature Coarsening B. Yan D. Harp Bailian Chen R. Pawar AI4CE 31 2 0 08 May 2021
ACORN: Adaptive Coordinate Networks for Neural Scene Representation Julien N. P. Martel David B. Lindell Connor Z. Lin E. R. Chan M. Monteiro Gordon Wetzstein 3DPC 22 91 0 06 May 2021
Two-layer neural networks with values in a Banach space Yury Korolev 26 23 0 05 May 2021