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
Residual-Based Error Corrector Operator to Enhance Accuracy and Reliability of Neural Operator Surrogates of Nonlinear Variational Boundary-Value Problems Prashant K. Jha 37 4 0 21 Jun 2023
Learning Homogenization for Elliptic Operators K. Bhattacharya Nikola B. Kovachki Aakila Rajan Andrew M. Stuart Margaret Trautner AI4CE 19 2 0 21 Jun 2023
Progressive Fourier Neural Representation for Sequential Video Compilation Haeyong Kang Jaehong Yoon Dahyun Kim Sung Ju Hwang Chang D. Yoo AI4TS 45 2 0 20 Jun 2023
Diffusion model based data generation for partial differential equations Rucha Apte Sheel Nidhan Rishikesh Ranade Jay Pathak DiffM 52 6 0 19 Jun 2023
Towards Stability of Autoregressive Neural Operators Michael McCabe P. Harrington Shashank Subramanian Jed Brown AI4CE 44 17 0 18 Jun 2023
HOSSnet: an Efficient Physics-Guided Neural Network for Simulating Crack Propagation Shengyu Chen Shihang Feng Yao Huang Z. Lei Xiaowei Jia Youzuo Lin Estaben Rougier AI4CE 20 0 0 14 Jun 2023
Towards a Machine-Learned Poisson Solver for Low-Temperature Plasma Simulations in Complex Geometries Ihda Chaerony Siffa M. Becker K. Weltmann J. Trieschmann 43 2 0 13 Jun 2023
Operator Learning with Neural Fields: Tackling PDEs on General Geometries Louis Serrano Lise Le Boudec Armand K. Koupai Thomas X. Wang Yuan Yin Jean-Noel Vittaut Patrick Gallinari AI4CE 36 34 0 12 Jun 2023
Energy-Dissipative Evolutionary Deep Operator Neural Networks Jiahao Zhang Shiheng Zhang Jie Shen Guang Lin 21 10 0 09 Jun 2023
RANS-PINN based Simulation Surrogates for Predicting Turbulent Flows Shinjan Ghosh Amit Chakraborty Georgia Olympia Brikis Biswadip Dey PINN AI4CE 22 5 0 09 Jun 2023
DynaBench: A benchmark dataset for learning dynamical systems from low-resolution data Andrzej Dulny Andreas Hotho Anna Krause AI4CE 16 7 0 09 Jun 2023
Group Equivariant Fourier Neural Operators for Partial Differential Equations Jacob Helwig Xuan Zhang Cong Fu Jerry Kurtin Stephan Wojtowytsch Shuiwang Ji AI4CE 60 29 0 09 Jun 2023
Solution of physics-based inverse problems using conditional generative adversarial networks with full gradient penalty Deep Ray Javier Murgoitio-Esandi Agnimitra Dasgupta Assad A. Oberai GAN 34 13 0 08 Jun 2023
Generalized Teacher Forcing for Learning Chaotic Dynamics Florian Hess Zahra Monfared Manuela Brenner Daniel Durstewitz AI4CE 37 31 0 07 Jun 2023
An enrichment approach for enhancing the expressivity of neural operators with applications to seismology E. Haghighat U. Waheed George Karniadakis 32 0 0 07 Jun 2023
Globally injective and bijective neural operators Takashi Furuya Michael Puthawala Matti Lassas Maarten V. de Hoop 33 11 0 06 Jun 2023
Spherical Fourier Neural Operators: Learning Stable Dynamics on the Sphere Boris Bonev Thorsten Kurth Christian Hundt Jaideep Pathak Maximilian Baust K. Kashinath Anima Anandkumar AI4Cl AI4CE 18 124 0 06 Jun 2023
Learning Dynamical Systems from Noisy Data with Inverse-Explicit Integrators Haakon Noren Sølve Eidnes E. Celledoni 36 3 0 06 Jun 2023
Training neural operators to preserve invariant measures of chaotic attractors Ruoxi Jiang Peter Y. Lu Elena Orlova Rebecca Willett AI4TS 35 24 0 01 Jun 2023
Neural Ideal Large Eddy Simulation: Modeling Turbulence with Neural Stochastic Differential Equations Anudhyan Boral Z. Y. Wan Leonardo Zepeda-Núñez James Lottes Qing Wang Yi-fan Chen John R. Anderson Fei Sha AI4CE PINN 35 11 0 01 Jun 2023
Improving day-ahead Solar Irradiance Time Series Forecasting by Leveraging Spatio-Temporal Context Oussama Boussif Ghait Boukachab D. Assouline Stefano Massaroli T. Yuan L. Benabbou Yoshua Bengio 25 14 0 01 Jun 2023
Towards Foundation Models for Scientific Machine Learning: Characterizing Scaling and Transfer Behavior Shashank Subramanian P. Harrington Kurt Keutzer W. Bhimji Dmitriy Morozov Michael W. Mahoney A. Gholami AI4CE 39 72 0 01 Jun 2023
Efficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators Dingcheng Luo Thomas O'Leary-Roseberry Peng Chen Omar Ghattas AI4CE 27 16 0 31 May 2023
Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning Francesca Bartolucci Emmanuel de Bezenac Bogdan Raonić Roberto Molinaro Siddhartha Mishra Rima Alaifari 42 28 0 31 May 2023
Beyond Regular Grids: Fourier-Based Neural Operators on Arbitrary Domains Levi E. Lingsch M. Michelis Emmanuel de Bezenac Sirani M. Perera Robert K. Katzschmann Siddartha Mishra 32 7 0 31 May 2023
A Unified Framework for U-Net Design and Analysis Christopher Williams Fabian Falck George Deligiannidis Chris Holmes Arnaud Doucet Saifuddin Syed SSeg AI4CE 49 34 0 31 May 2023
Fast Dynamic 1D Simulation of Divertor Plasmas with Neural PDE Surrogates Y. Poels G. Derks E. Westerhof Koen Minartz Sven Wiesen Vlado Menkovski 3DGS AI4CE 32 16 0 30 May 2023
Koopa: Learning Non-stationary Time Series Dynamics with Koopman Predictors Yong Liu Chenyu Li Jianmin Wang Mingsheng Long AI4TS 37 105 0 30 May 2023
NUNO: A General Framework for Learning Parametric PDEs with Non-Uniform Data Songming Liu Zhongkai Hao Chengyang Ying Hang Su Ze Cheng Jun Zhu AI4CE 32 11 0 30 May 2023
From Zero to Turbulence: Generative Modeling for 3D Flow Simulation Marten Lienen David Lüdke Jan Hansen-Palmus Stephan Günnemann DiffM AI4CE 36 25 0 29 May 2023
Physics-Informed Computer Vision: A Review and Perspectives C. Banerjee Kien Nguyen Clinton Fookes G. Karniadakis PINN AI4CE 39 30 0 29 May 2023
Conditional score-based diffusion models for Bayesian inference in infinite dimensions Lorenzo Baldassari Ali Siahkoohi Josselin Garnier K. Sølna Maarten V. de Hoop DiffM 30 18 0 28 May 2023
Scalable Transformer for PDE Surrogate Modeling Zijie Li Dule Shu A. Farimani 35 67 0 27 May 2023
Fourier-DeepONet: Fourier-enhanced deep operator networks for full waveform inversion with improved accuracy, generalizability, and robustness Min Zhu Shihang Feng Youzuo Lin Lu Lu 22 60 0 26 May 2023
Functional Flow Matching Gavin Kerrigan Giosue Migliorini Padhraic Smyth 39 14 0 26 May 2023
Error Bounds for Learning with Vector-Valued Random Features S. Lanthaler Nicholas H. Nelsen 27 12 0 26 May 2023
Stability of implicit neural networks for long-term forecasting in dynamical systems Léon Migus J. Salomon Patrick Gallinari AI4TS AI4CE 28 1 0 26 May 2023
Lagrangian Flow Networks for Conservation Laws F. A. Torres M. Negri M. Inversi Jonathan Aellen Volker Roth 47 2 0 26 May 2023
TLNets: Transformation Learning Networks for long-range time-series prediction Wen Wang Yang Liu Haoqin Sun AI4TS 33 3 0 25 May 2023
Learning Lagrangian Fluid Mechanics with E( $3$ )-Equivariant Graph Neural Networks Artur P. Toshev Gianluca Galletti Johannes Brandstetter Stefan Adami Nikolaus A. Adams AI4CE 40 5 0 24 May 2023
Fourier Neural Operators for Arbitrary Resolution Climate Data Downscaling Qidong Yang Alex Hernandez-Garcia P. Harder Venkatesh Ramesh Prasanna Sattegeri Daniela Szwarcman C. Watson David Rolnick AI4CE 32 21 0 23 May 2023
Equivariant Neural Simulators for Stochastic Spatiotemporal Dynamics Koen Minartz Y. Poels Simon Koop Vlado Menkovski 35 5 0 23 May 2023
ParticleWNN: a Novel Neural Networks Framework for Solving Partial Differential Equations Yaohua Zang Gang Bao 37 4 0 21 May 2023
PastNet: Introducing Physical Inductive Biases for Spatio-temporal Video Prediction Hao Wu Wei Xion Fan Xu Xian-Sheng Hua C. L. Philip Chen Xiansheng Hua AI4TS 39 27 0 19 May 2023
Machine learning for phase-resolved reconstruction of nonlinear ocean wave surface elevations from sparse remote sensing data Svenja Ehlers Marco Klein Alexander Heinlein Mathies Wedler Nicolas Desmars Norbert Hoffmann M. Stender AI4Cl 45 2 0 18 May 2023
Score Operator Newton transport N. Chandramoorthy F. Schaefer Youssef Marzouk OT 27 1 0 16 May 2023
Physics Informed Token Transformer for Solving Partial Differential Equations Cooper Lorsung Zijie Li Amir Barati Farimani AI4CE 48 16 0 15 May 2023
Neural operator for structural simulation and bridge health monitoring Chawit Kaewnuratchadasorn Jiaji Wang Chul-Woo Kim AI4CE 31 10 0 13 May 2023
LatentPINNs: Generative physics-informed neural networks via a latent representation learning M. H. Taufik T. Alkhalifah AI4CE DiffM 49 4 0 11 May 2023
Generalization bounds for neural ordinary differential equations and deep residual networks Pierre Marion 32 18 0 11 May 2023