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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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On conditional diffusion models for PDE simulations Aliaksandra Shysheya Cristiana-Diana Diaconu Federico Bergamin P. Perdikaris José Miguel Hernández-Lobato Richard E. Turner Emile Mathieu DiffM 81 13 0 21 Oct 2024
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Long-time Integration of Nonlinear Wave Equations with Neural Operators Guanhang Lei Zhen Lei Lei Shi 53 1 0 21 Oct 2024
Learning signals defined on graphs with optimal transport and Gaussian process regression Raphael Carpintero Perez Sébastien da Veiga Josselin Garnier B. Staber 210 1 0 21 Oct 2024
SEA: State-Exchange Attention for High-Fidelity Physics Based Transformers Parsa Esmati Amirhossein Dadashzadeh Vahid Goodarzi Nicolas Larrosa Nicolo Grilli 79 0 0 20 Oct 2024
Can AI weather models predict out-of-distribution gray swan tropical cyclones? Y. Qiang Sun Pedram Hassanzadeh Mohsen Zand Ashesh Chattopadhyay Jonathan Weare D. Abbot 152 7 0 19 Oct 2024
Arbitrarily-Conditioned Multi-Functional Diffusion for Multi-Physics Emulation D. Long Zhitong Xu Guang Yang A. Narayan Shandian Zhe DiffM AI4CE 68 1 0 17 Oct 2024
A Numerical Study of Chaotic Dynamics of K-S Equation with FNOs Surbhi Khetrapal Jaswin Kasi 62 0 0 16 Oct 2024
Model Balancing Helps Low-data Training and Fine-tuning Zihang Liu Yihan Hu Tianyu Pang Yefan Zhou Pu Ren Yaoqing Yang 79 7 0 16 Oct 2024
Deep vectorised operators for pulsatile hemodynamics estimation in coronary arteries from a steady-state prior Julian Suk Guido Nannini Patryk Rygiel Christoph Brune Gianluca Pontone Alberto Redaelli J. Wolterink 42 2 0 15 Oct 2024
Deep Optimal Sensor Placement for Black Box Stochastic Simulations Paula Cordero-Encinar Tobias Schröder P. Yatsyshin Andrew Duncan 87 0 0 15 Oct 2024
A Unified Framework for Forward and Inverse Problems in Subsurface Imaging using Latent Space Translations Naveen Gupta Medha Sawhney Arka Daw Youzuo Lin Anuj Karpatne MedIm AI4CE 110 3 0 15 Oct 2024
SpeGCL: Self-supervised Graph Spectrum Contrastive Learning without Positive Samples Yuntao Shou Xiangyong Cao Deyu Meng 99 10 0 14 Oct 2024
Score Neural Operator: A Generative Model for Learning and Generalizing Across Multiple Probability Distributions Xinyu Liao Aoyang Qin Jacob H. Seidman Junqi Wang Wei Wang P. Perdikaris DiffM 60 0 0 11 Oct 2024
Exploring the design space of deep-learning-based weather forecasting systems Shoaib Ahmed Siddiqui Jean Kossaifi Boris Bonev Christopher Choy Jan Kautz David M. Krueger Kamyar Azizzadenesheli AI4CE OOD 59 3 0 09 Oct 2024
Toward Physics-guided Time Series Embedding Jiaxi Hu Bowen Zhang Qingsong Wen Fugee Tsung Yuxuan Liang AI4TS AI4CE 92 4 0 09 Oct 2024
Learning a Neural Solver for Parametric PDE to Enhance Physics-Informed Methods Lise Le Boudec Emmanuel de Bézenac Louis Serrano Ramon Daniel Regueiro-Espino Yuan Yin Patrick Gallinari AI4CE 94 2 0 09 Oct 2024
Quantifying Training Difficulty and Accelerating Convergence in Neural Network-Based PDE Solvers Chuqi Chen Qixuan Zhou Yahong Yang Yang Xiang Tao Luo 57 2 0 08 Oct 2024
E3STO: Orbital Inspired SE(3)-Equivariant Molecular Representation for Electron Density Prediction Ilan Mitnikov Joseph Jacobson 90 0 0 08 Oct 2024
MelissaDL x Breed: Towards Data-Efficient On-line Supervised Training of Multi-parametric Surrogates with Active Learning Sofya Dymchenko Abhishek Purandare Bruno Raffin AI4CE 58 0 0 08 Oct 2024
Improved deep learning of chaotic dynamical systems with multistep penalty losses Dibyajyoti Chakraborty Seung Whan Chung Ashesh Chattopadhyay R. Maulik AI4CE 47 1 0 08 Oct 2024
DimOL: Dimensional Awareness as A New 'Dimension' in Operator Learning Yichen Song Yunbo Wang Xiaokang Yang Xiaokang Yang AI4CE 80 0 0 08 Oct 2024
Neural Fourier Modelling: A Highly Compact Approach to Time-Series Analysis Minjung Kim Yusuke Hioka Michael Witbrock AI4TS 93 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 78 2 0 06 Oct 2024
Radial Basis Operator Networks Jason Kurz Sean Oughton Shitao Liu 99 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 77 2 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 26 0 0 04 Oct 2024
Zebra: In-Context Generative Pretraining for Solving Parametric PDEs Louis Serrano Armand K. Koupai Thomas X. Wang Pierre Erbacher Patrick Gallinari AI4CE 107 5 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 89 0 0 04 Oct 2024
Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases Madison Cooley Varun Shankar Robert M. Kirby Shandian Zhe 110 2 0 04 Oct 2024
Quantitative Approximation for Neural Operators in Nonlinear Parabolic Equations Takashi Furuya K. Taniguchi Satoshi Okuda 80 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 128 7 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 146 5 0 03 Oct 2024
Deep Learning Alternatives of the Kolmogorov Superposition Theorem Leonardo Ferreira Guilhoto P. Perdikaris 111 7 0 02 Oct 2024
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems Bocheng Zeng Qi Wang Ming Yan Yang Liu Ruizhi Chengze Yi Zhang Hongsheng Liu Zidong Wang Hao Sun AI4CE 227 4 0 02 Oct 2024
Explain Like I'm Five: Using LLMs to Improve PDE Surrogate Models with Text Cooper Lorsung Amir Barati Farimani AI4CE 216 2 0 02 Oct 2024
Text2PDE: Latent Diffusion Models for Accessible Physics Simulation Anthony Zhou Zijie Li Michael Schneier John R Buchanan Jr Amir Barati Farimani AI4CE DiffM 170 8 0 02 Oct 2024
Structure-Preserving Operator Learning Nacime Bouziani Nicolas Boullé 68 1 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 111 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 73 1 0 01 Oct 2024
Basis-to-Basis Operator Learning Using Function Encoders Tyler Ingebrand Adam J. Thorpe Somdatta Goswami Krishna Kumar Ufuk Topcu 54 5 0 30 Sep 2024
Beyond Derivative Pathology of PINNs: Variable Splitting Strategy with Convergence Analysis Yesom Park Changhoon Song Myungjoo Kang 74 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 70 1 0 29 Sep 2024
Embed and Emulate: Contrastive representations for simulation-based inference Ruoxi Jiang Peter Y. Lu Rebecca Willett 63 1 0 27 Sep 2024
Scientific Machine Learning Seismology Tomohisa Okazaki PINN AI4CE 163 0 0 27 Sep 2024
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 60 4 0 26 Sep 2024
Spatiotemporal Learning on Cell-embedded Graphs Yuan Mi Hao Sun 71 1 0 26 Sep 2024
Physics-aligned Schrödinger bridge Zeyu Li Hongkun Dou Shen Fang Wang Han Yue Deng Lijun Yang AI4CE DiffM 52 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 60 3 0 25 Sep 2024
Zero-shot forecasting of chaotic systems Yuanzhao Zhang William Gilpin AI4TS 262 8 0 24 Sep 2024