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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Learning a Neural Solver for Parametric PDE to Enhance Physics-Informed Methods Lise Le Boudec Emmanuel de Bezenac Louis Serrano Ramon Daniel Regueiro-Espino Yuan Yin Patrick Gallinari AI4CE 32 2 0 09 Oct 2024
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Quantifying Training Difficulty and Accelerating Convergence in Neural Network-Based PDE Solvers Chuqi Chen Qixuan Zhou Yahong Yang Yang Xiang Tao Luo 29 1 0 08 Oct 2024
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Improved deep learning of chaotic dynamical systems with multistep penalty losses Dibyajyoti Chakraborty Seung Whan Chung Ashesh Chattopadhyay R. Maulik AI4CE 24 1 0 08 Oct 2024
DimOL: Dimensional Awareness as A New 'Dimension' in Operator Learning Yichen Song Yunbo Wang Xiaokang Yang Xiaokang Yang AI4CE 58 0 0 08 Oct 2024
Neural Fourier Modelling: A Highly Compact Approach to Time-Series Analysis Minjung Kim Yusuke Hioka Michael Witbrock AI4TS 32 0 0 07 Oct 2024
Graph Fourier Neural Kernels (G-FuNK): Learning Solutions of Nonlinear Diffusive Parametric PDEs on Multiple Domains Shane E. Loeffler Zan Ahmad Syed Yusuf Ali Carolyna Yamamoto D. Popescu Alana Yee Yash Lal Natalia A. Trayanova Mauro Maggioni 38 2 0 06 Oct 2024
Identification of Mean-Field Dynamics using Transformers Shiba Biswal Karthik Elamvazhuthi Rishi Sonthalia AI4CE 27 1 0 06 Oct 2024
Radial Basis Operator Networks Jason Kurz Sean Oughton Shitao Liu 41 0 0 06 Oct 2024
A Unified Model for Compressed Sensing MRI Across Undersampling Patterns Armeet Singh Jatyani Jiayun Wang Zihui Wu Miguel Liu-Schiaffini Bahareh Tolooshams Anima Anandkumar Anima Anandkumar 29 1 0 05 Oct 2024
End-to-End Reaction Field Energy Modeling via Deep Learning based Voxel-to-voxel Transform Yongxian Wu Qiang Zhu Ray Luo 21 0 0 04 Oct 2024
Zebra: In-Context and Generative Pretraining for Solving Parametric PDEs Louis Serrano Armand K. Koupai Thomas X. Wang Pierre Erbacher Patrick Gallinari AI4CE 35 3 0 04 Oct 2024
Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases Madison Cooley Varun Shankar Robert M. Kirby Shandian Zhe 26 2 0 04 Oct 2024
HyResPINNs: Hybrid Residual Networks for Adaptive Neural and RBF Integration in Solving PDEs Madison Cooley Robert M. Kirby Shandian Zhe Varun Shankar PINN AI4CE 28 0 0 04 Oct 2024
Discovering Message Passing Hierarchies for Mesh-Based Physics Simulation Huayu Deng Xiangming Zhu Yunbo Wang Xiaokang Yang PINN AI4CE 29 0 0 03 Oct 2024
Quantitative Approximation for Neural Operators in Nonlinear Parabolic Equations Takashi Furuya K. Taniguchi Satoshi Okuda 21 0 0 03 Oct 2024
FAN: Fourier Analysis Networks Yihong Dong Ge Li Yongding Tao Xue Jiang Kechi Zhang Jia Li Jing Su Jing Su Jun Zhang Jingjing Xu AI4TS 18 4 0 03 Oct 2024
Mamba Neural Operator: Who Wins? Transformers vs. State-Space Models for PDEs Chun-Wun Cheng Jiahao Huang Yi Zhang Guang Yang Carola-Bibiane Schonlieb Angelica I Aviles-Rivero Mamba AI4CE 90 2 0 03 Oct 2024
Deep Learning Alternatives of the Kolmogorov Superposition Theorem Leonardo Ferreira Guilhoto P. Perdikaris 47 7 0 02 Oct 2024
Text2PDE: Latent Diffusion Models for Accessible Physics Simulation Anthony Y. Zhou Zijie Li Michael Schneier John R Buchanan Jr Amir Barati Farimani AI4CE DiffM 67 5 0 02 Oct 2024
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems Bocheng Zeng Qi Wang M. Yan Yong-Jin Liu Ruizhi Chengze Yi Zhang Hongsheng Liu Zidong Wang Hao Sun AI4CE 40 3 0 02 Oct 2024
Explain Like I'm Five: Using LLMs to Improve PDE Surrogate Models with Text Cooper Lorsung Amir Barati Farimani AI4CE 68 1 0 02 Oct 2024
Structure-Preserving Operator Learning Nacime Bouziani Nicolas Boullé 25 0 0 01 Oct 2024
$M$^{2}$M: Learning controllable Multi of experts and multi-scale operators are the Partial Differential Equations need$ M $^{2}$ M: Learning controllable Multi of experts and multi-scale operators are the Partial Differential Equations need Aoming Liang Zhaoyang Mu Pengxiao Lin Cong Wang Mingming Ge Ling Shao Dixia Fan Hao Tang AI4CE 31 0 0 01 Oct 2024
Neural Scaling Laws of Deep ReLU and Deep Operator Network: A Theoretical Study Hao Liu Zecheng Zhang Wenjing Liao Hayden Schaeffer 28 1 0 01 Oct 2024
Basis-to-Basis Operator Learning Using Function Encoders Tyler Ingebrand Adam J. Thorpe Somdatta Goswami Krishna Kumar Ufuk Topcu 18 3 0 30 Sep 2024
Beyond Derivative Pathology of PINNs: Variable Splitting Strategy with Convergence Analysis Yesom Park Changhoon Song Myungjoo Kang 28 2 0 30 Sep 2024
KODA: A Data-Driven Recursive Model for Time Series Forecasting and Data Assimilation using Koopman Operators Ashutosh Singh Ashish Singh Tales Imbiriba Deniz Erdogmus R. Borsoi AI4TS AI4CE 47 1 0 29 Sep 2024
Embed and Emulate: Contrastive representations for simulation-based inference Ruoxi Jiang Peter Y. Lu Rebecca Willett 31 0 0 27 Sep 2024
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FlowBench: A Large Scale Benchmark for Flow Simulation over Complex Geometries Ronak Tali Ali Rabeh Cheng-Hau Yang Mehdi Shadkhah Samundra Karki ... Soumik Sarkar Adarsh Krishnamurthy Chinmay Hegde Aditya Balu Baskar Ganapathysubramanian AI4CE OOD 48 4 0 26 Sep 2024
Spatiotemporal Learning on Cell-embedded Graphs Yuan Mi Hao Sun 43 1 0 26 Sep 2024
Physics-aligned Schrödinger bridge Zeyu Li Hongkun Dou Shen Fang Wang Han Yue Deng Lijun Yang AI4CE DiffM 30 0 0 26 Sep 2024
Efficient and generalizable nested Fourier-DeepONet for three-dimensional geological carbon sequestration Jonathan E. Lee Min Zhu Ziqiao Xi Kun Wang Yanhua O. Yuan Lu Lu AI4CE 26 3 0 25 Sep 2024
Zero-shot forecasting of chaotic systems Yuanzhao Zhang William Gilpin AI4TS 37 4 0 24 Sep 2024
Micrometer: Micromechanics Transformer for Predicting Mechanical Responses of Heterogeneous Materials Sizhuang He Tong-Rui Liu Shyam Sankaran P. Perdikaris AI4CE 42 3 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 26 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 38 0 0 20 Sep 2024
ASPINN: An asymptotic strategy for solving singularly perturbed differential equations Sen Wang Peizhi Zhao Tao Song 35 0 0 20 Sep 2024
Provable In-Context Learning of Linear Systems and Linear Elliptic PDEs with Transformers Frank Cole Yulong Lu Riley OÑeill Tianhao Zhang 45 2 0 18 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 30 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 47 3 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 26 1 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 43 6 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 33 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-Núnez 33 1 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 34 0 0 13 Sep 2024