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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
Micrometer: Micromechanics Transformer for Predicting Mechanical Responses of Heterogeneous Materials Sizhuang He Tong-Rui Liu Shyam Sankaran P. Perdikaris AI4CE 93 4 0 23 Sep 2024
Fourier neural operators for spatiotemporal dynamics in two-dimensional turbulence M. Atif Pulkit Dubey Pratik P. Aghor Vanessa Lopez-Marrero Tao Zhang ... Fan Yang Foluso Ladeinde Yangang Liu Meifeng Lin Lingda Li AI4CE 50 2 0 23 Sep 2024
DiffFluid: Plain Diffusion Models are Effective Predictors of Flow Dynamics Dongyu Luo Jianyu Wu Jing Wang Hairun Xie Xiangyu Yue Shixiang Tang DiffM AI4CE 64 2 0 20 Sep 2024
ASPINN: An asymptotic strategy for solving singularly perturbed differential equations Sen Wang Peizhi Zhao Tao Song 116 0 0 20 Sep 2024
RoboMorph: In-Context Meta-Learning for Robot Dynamics Modeling Manuel Bianchi Bazzi Asad Ali Shahid Christopher Agia J. I. Alora Marco Forgione Dario Piga Francesco Braghin Marco Pavone L. Roveda LM&Ro AI4CE 60 0 0 18 Sep 2024
Time-Series Forecasting, Knowledge Distillation, and Refinement within a Multimodal PDE Foundation Model Derek Jollie Jingmin Sun Zecheng Zhang Hayden Schaeffer AI4TS 88 4 0 17 Sep 2024
Towards Gaussian Process for operator learning: an uncertainty aware resolution independent operator learning algorithm for computational mechanics Sawan Kumar R. Nayek Souvik Chakraborty 102 4 0 17 Sep 2024
PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamics Yuxuan Liu Jingmin Sun Xinjie He Griffin Pinney Zecheng Zhang Hayden Schaeffer AI4CE 97 9 0 15 Sep 2024
Neumann Series-based Neural Operator for Solving Inverse Medium Problem Ziyang Liu Fukai Chen Junqing Chen L. Qiu Zuoqiang Shi AI4CE 65 2 0 14 Sep 2024
Rational-WENO: A lightweight, physically-consistent three-point weighted essentially non-oscillatory scheme S. Shahane Sheide Chammas Deniz A. Bezgin Aaron B. Buhendwa Steffen J. Schmidt ... Spencer H. Bryngelson Yi-Fan Chen Qing Wang Fei Sha Leonardo Zepeda-Núñez 70 2 0 13 Sep 2024
FB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition Milad Ramezankhani Rishi Parekh A. Deodhar Dagnachew Birru AI4CE 51 0 0 13 Sep 2024
Biomimetic Frontend for Differentiable Audio Processing Ruolan Leslie Famularo D. Zotkin S. Shamma R. Duraiswami AI4TS 80 0 0 13 Sep 2024
Integrating Neural Operators with Diffusion Models Improves Spectral Representation in Turbulence Modeling Vivek Oommen Aniruddha Bora Zhen Zhang George Karniadakis DiffM 128 19 0 13 Sep 2024
Stratospheric aerosol source inversion: Noise, variability, and uncertainty quantification J. Hart I. Manickam M. Gulian L. Swiler D. Bull T. Ehrmann H. Brown B. Wagman J. Watkins 60 6 0 10 Sep 2024
Deep Learning for Koopman Operator Estimation in Idealized Atmospheric Dynamics David Millard Arielle Carr Stéphane Gaudreault 81 4 0 10 Sep 2024
A Primer on Variational Inference for Physics-Informed Deep Generative Modelling Alex Glyn-Davies Arnaud Vadeboncoeur O. Deniz Akyildiz Ieva Kazlauskaite Mark Girolami PINN 139 0 0 10 Sep 2024
Component Fourier Neural Operator for Singularly Perturbed Differential Equations Ye Li Ting Du Yiwen Pang Zhongyi Huang 91 1 0 07 Sep 2024
Up-sampling-only and Adaptive Mesh-based GNN for Simulating Physical Systems Fu Lin Jiasheng Shi Shijie Luo Qinpei Zhao Weixiong Rao Lei Chen AI4CE 75 0 0 07 Sep 2024
Fourier Neural Operators for Learning Dynamics in Quantum Spin Systems Freya Shah T. Patti Julius Berner Bahareh Tolooshams Jean Kossaifi Anima Anandkumar 74 2 0 05 Sep 2024
Adversarial Learning for Neural PDE Solvers with Sparse Data Yunpeng Gong Yongjie Hou Zhenzhong Wang Zexin Lin Min Jiang AAML 74 10 0 04 Sep 2024
Active Symbolic Discovery of Ordinary Differential Equations via Phase Portrait Sketching Nan Jiang Md Nasim Yexiang Xue 97 0 0 02 Sep 2024
Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid Subhankar Sarkar Souvik Chakraborty 68 1 0 01 Sep 2024
Generating Physical Dynamics under Priors Zihan Zhou Xiaoxue Wang Tianshu Yu DiffM AI4CE 148 1 0 01 Sep 2024
Reconstructing unsteady flows from sparse, noisy measurements with a physics-constrained convolutional neural network Yaxin Mo Luca Magri AI4CE 67 0 0 30 Aug 2024
Towards Efficient Modelling of String Dynamics: A Comparison of State Space and Koopman based Deep Learning Methods Rodrigo Diaz Carlos De La Vega Martin Mark Sandler 65 3 0 29 Aug 2024
Fourier Spectral Physics Informed Neural Network: An Efficient and Low-Memory PINN Tianchi Yu Yiming Qi Ivan Oseledets Shiyi Chen 71 0 0 29 Aug 2024
TG-PhyNN: An Enhanced Physically-Aware Graph Neural Network framework for forecasting Spatio-Temporal Data Zakaria Elabid Lena Sasal Daniel Busby Abdenour Hadid AI4CE 76 1 0 29 Aug 2024
LeMON: Learning to Learn Multi-Operator Networks Jingmin Sun Zecheng Zhang Hayden Schaeffer 99 7 0 28 Aug 2024
Data-driven Effective Modeling of Multiscale Stochastic Dynamical Systems Yuán Chen Dongbin Xiu 77 0 0 27 Aug 2024
General-Kindred Physics-Informed Neural Network to the Solutions of Singularly Perturbed Differential Equations Sen Wang Peizhi Zhao Qinglong Ma Tao Song PINN 69 3 0 27 Aug 2024
STAResNet: a Network in Spacetime Algebra to solve Maxwell's PDEs Alberto Pepe Sven Buchholz Joan Lasenby 70 0 0 24 Aug 2024
Frequency-aware Feature Fusion for Dense Image Prediction Linwei Chen Ying Fu Lin Gu Chenggang Yan Tatsuya Harada Gao Huang 3DV 116 33 0 23 Aug 2024
Multilevel CNNs for Parametric PDEs based on Adaptive Finite Elements Janina Enrica Schutte Martin Eigel AI4CE 57 1 0 20 Aug 2024
Inferring Underwater Topography with FINN Coşku Can Horuz Matthias Karlbauer T. Praditia S. Oladyshkin Wolfgang Nowak Sebastian Otte AI4CE 62 0 0 20 Aug 2024
Fredholm Integral Equations Neural Operator (FIE-NO) for Data-Driven Boundary Value Problems Haoyang Jiang Yongzhi Qu AI4CE 63 0 0 20 Aug 2024
Liquid Fourier Latent Dynamics Networks for fast GPU-based numerical simulations in computational cardiology Matteo Salvador Alison L. Marsden AI4CE 93 1 0 19 Aug 2024
A systematic dataset generation technique applied to data-driven automotive aerodynamics Mark Benjamin Gianluca Iaccarino 92 1 0 14 Aug 2024
Operator Learning Using Random Features: A Tool for Scientific Computing Nicholas H. Nelsen Andrew M. Stuart 101 14 0 12 Aug 2024
MetMamba: Regional Weather Forecasting with Spatial-Temporal Mamba Model Haoyu Qin Yungang Chen Qianchuan Jiang Pengchao Sun Xiancai Ye Chao Lin Mamba AI4CE 71 1 0 12 Aug 2024
Higher-order-ReLU-KANs (HRKANs) for solving physics-informed neural networks (PINNs) more accurately, robustly and faster Chi Chiu So Siu Pang Yung 112 8 0 09 Aug 2024
UGrid: An Efficient-And-Rigorous Neural Multigrid Solver for Linear PDEs Xi Han Fei Hou Hong Qin AI4CE 72 2 0 09 Aug 2024
Beyond Closure Models: Learning Chaotic-Systems via Physics-Informed Neural Operators Chuwei Wang Julius Berner Zongyi Li Di Zhou Jiayun Wang Jane Bae Anima Anandkumar AI4CE 82 3 0 09 Aug 2024
A TVD neural network closure and application to turbulent combustion Seung Won Suh J. MacArt Luke N Olson Jonathan B Freund PINN 76 0 0 06 Aug 2024
Huge Ensembles Part I: Design of Ensemble Weather Forecasts using Spherical Fourier Neural Operators Ankur Mahesh William D. Collins Boris Bonev Noah D. Brenowitz Y. Cohen ... Michael S. Pritchard David Pruitt Mark Risser Shashank Subramanian Jared Willard 163 12 0 06 Aug 2024
Data-Driven Stochastic Closure Modeling via Conditional Diffusion Model and Neural Operator Xinghao Dong Chuanqi Chen Jin-Long Wu DiffM AI4CE 139 5 0 06 Aug 2024
Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving Varun V. Kumar S. Goswami Katiana Kontolati Michael D. Shields George Em Karniadakis AI4CE 82 8 0 05 Aug 2024
Optimal Estimation of Structured Covariance Operators Omar Al Ghattas Jiaheng Chen D. Sanz-Alonso Nathan Waniorek 98 4 0 04 Aug 2024
DeepNetBeam: A Framework for the Analysis of Functionally Graded Porous Beams M. Eshaghi M. Bamdad C. Anitescu Yizheng Wang X. Zhuang Timon Rabczuk AI4CE 91 8 0 04 Aug 2024
Neural Network Emulator for Atmospheric Chemical ODE Zhi-Song Liu Petri S. Clusius Michael Boy 125 3 0 03 Aug 2024
Physics-Informed Geometry-Aware Neural Operator Weiheng Zhong Hadi Meidani AI4CE 84 4 0 02 Aug 2024