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
Evaluating the transferability potential of deep learning models for climate downscaling Ayush Prasad P. Harder Qidong Yang Prasanna Sattegeri Daniela Szwarcman Campbell Watson David Rolnick 27 3 0 17 Jul 2024
Not All Frequencies Are Created Equal:Towards a Dynamic Fusion of Frequencies in Time-Series Forecasting Xingyu Zhang Siyu Zhao Zeen Song Huijie Guo Jianqi Zhang Changwen Zheng Wenwen Qiang AI4TS 32 4 0 17 Jul 2024
Multi evolutional deep neural networks (Multi-EDNN) Hadden Kim T. Zaki 47 1 0 17 Jul 2024
Base Models for Parabolic Partial Differential Equations Xingzi Xu Ali Hasan Jie Ding Vahid Tarokh 45 1 0 17 Jul 2024
Dilated convolution neural operator for multiscale partial differential equations Bo Xu Xinliang Liu Lei Zhang AI4CE 34 3 0 16 Jul 2024
Deep Learning without Global Optimization by Random Fourier Neural Networks Owen Davis Gianluca Geraci Mohammad Motamed BDL 60 0 0 16 Jul 2024
Separable Operator Networks Xinling Yu S. Hooten Z. Liu Yequan Zhao M. Fiorentino T. Van Vaerenbergh Zheng-Wei Zhang 51 4 0 15 Jul 2024
Physics-embedded Fourier Neural Network for Partial Differential Equations Qingsong Xu Nils Thuerey Yilei Shi Jonathan Bamber Chaojun Ouyang Xiao Xiang Zhu AI4CE 29 0 0 15 Jul 2024
Neural Operator-Based Proxy for Reservoir Simulations Considering Varying Well Settings, Locations, and Permeability Fields Daniel Badawi Eduardo Gildin OOD AI4CE 21 4 0 13 Jul 2024
Accelerating Electron Dynamics Simulations through Machine Learned Time Propagators Karan Shah A. Cangi AI4CE 26 1 0 12 Jul 2024
Feasibility Study on Active Learning of Smart Surrogates for Scientific Simulations Pradeep Bajracharya J. Q. Toledo-Marín Geoffrey C. Fox S. Jha Linwei Wang AI4CE 45 1 0 10 Jul 2024
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 34 43 0 09 Jul 2024
Frequency and Generalisation of Periodic Activation Functions in Reinforcement Learning Augustine N. Mavor-Parker Matthew J. Sargent Caswell Barry Lewis D. Griffin Clare Lyle 47 2 0 09 Jul 2024
PAPM: A Physics-aware Proxy Model for Process Systems Pengwei Liu Zhongkai Hao Xingyu Ren Hangjie Yuan Jiayang Ren Dong Ni AI4CE PINN 45 0 0 07 Jul 2024
On the importance of learning non-local dynamics for stable data-driven climate modeling: A 1D gravity wave-QBO testbed H. Pahlavan P. Hassanzadeh M. J. Alexander 36 1 0 07 Jul 2024
Green Multigrid Network Ye Lin Young Ju Lee Jiwei Jia 23 1 0 04 Jul 2024
A fast neural hybrid Newton solver adapted to implicit methods for nonlinear dynamics Tianyu Jin G. Maierhofer Katharina Schratz Yang Xiang 36 1 0 04 Jul 2024
Reduced-Order Neural Operators: Learning Lagrangian Dynamics on Highly Sparse Graphs Hrishikesh Viswanath Yue Chang Julius Berner Julius Berner Peter Yichen Chen Aniket Bera AI4CE 63 2 0 04 Jul 2024
Magnetic Hysteresis Modeling with Neural Operators Abhishek Chandra B. Daniels M. Curti K. Tiels E. Lomonova AI4CE 45 2 0 03 Jul 2024
Self-supervised Pretraining for Partial Differential Equations Varun Madhavan Amal S Sebastian Bharath Ramsundar Venkatasubramanian Viswanathan AI4CE 43 0 0 03 Jul 2024
Membership Inference Attacks Against Time-Series Models Noam Koren Abigail Goldsteen Ariel Farkash Guy Amit 36 0 0 03 Jul 2024
UniFIDES: Universal Fractional Integro-Differential Equation Solvers Milad Saadat Deepak Mangal Safa Jamali AI4CE 48 1 0 01 Jul 2024
Adaptive control of reaction-diffusion PDEs via neural operator-approximated gain kernels Luke Bhan Yuanyuan Shi Miroslav Krstic 46 4 0 01 Jul 2024
Kernel Neural Operators (KNOs) for Scalable, Memory-efficient, Geometrically-flexible Operator Learning Matthew Lowery John Turnage Zachary Morrow J. Jakeman Akil Narayan Shandian Zhe Varun Shankar 41 1 0 30 Jun 2024
Towards Universal Mesh Movement Networks Mingrui Zhang Chunyang Wang Stephan Kramer Joseph G. Wallwork Siyi Li Jiancheng Liu Xiang Chen M. Piggott AI4CE 43 1 0 29 Jun 2024
Advection Augmented Convolutional Neural Networks N. Zakariaei Siddharth Rout Eldad Haber Moshe Eliasof AI4TS 31 2 0 27 Jun 2024
A Fast Learning-Based Surrogate of Electrical Machines using a Reduced Basis Alejandro Ribés Nawfal Benchekroun Théo Delagnes AI4CE 46 1 0 27 Jun 2024
Learning Modality Knowledge Alignment for Cross-Modality Transfer Wenxuan Ma Shuang Li Lincan Cai Jingxuan Kang 42 1 0 27 Jun 2024
Operator Learning of Lipschitz Operators: An Information-Theoretic Perspective Samuel Lanthaler 47 3 0 26 Jun 2024
DiffusionPDE: Generative PDE-Solving Under Partial Observation Jiahe Huang Guandao Yang Zichen Wang Jeong Joon Park DiffM 63 14 0 25 Jun 2024
Scalable Artificial Intelligence for Science: Perspectives, Methods and Exemplars Wesley Brewer Aditya Kashi Sajal Dash A. Tsaris Junqi Yin Mallikarjun Shankar Feiyi Wang 46 0 0 24 Jun 2024
Accelerating Phase Field Simulations Through a Hybrid Adaptive Fourier Neural Operator with U-Net Backbone Christophe Bonneville N. Bieberdorf Arun Hegde Mark Asta H. Najm Laurent Capolungo C. Safta AI4CE 44 2 0 24 Jun 2024
PIC2O-Sim: A Physics-Inspired Causality-Aware Dynamic Convolutional Neural Operator for Ultra-Fast Photonic Device FDTD Simulation Pingchuan Ma Haoyu Yang Zhengqi Gao Duane S. Boning Jiaqi Gu 39 3 0 24 Jun 2024
Learning the boundary-to-domain mapping using Lifting Product Fourier Neural Operators for partial differential equations Aditya Kashi Arka Daw Muralikrishnan Gopalakrishnan Meena Hao Lu AI4CE 39 2 0 24 Jun 2024
Probabilistic Emulation of a Global Climate Model with Spherical DYffusion Salva Rühling Cachay Brian Henn Oliver Watt-Meyer Christopher S. Bretherton Rose Yu SyDa AI4Cl 34 7 0 21 Jun 2024
An Advanced Physics-Informed Neural Operator for Comprehensive Design Optimization of Highly-Nonlinear Systems: An Aerospace Composites Processing Case Study Milad Ramezankhani A. Deodhar Rishi Parekh Dagnachew Birru AI4CE 50 3 0 20 Jun 2024
Unfolding Time: Generative Modeling for Turbulent Flows in 4D Abdullah Saydemir Marten Lienen Stephan Günnemann AI4CE DiffM 40 1 0 17 Jun 2024
Two-level overlapping additive Schwarz preconditioner for training scientific machine learning applications Youngkyu Lee Alena Kopanicáková George Karniadakis AI4CE 49 0 0 16 Jun 2024
Hamilton-Jacobi Based Policy-Iteration via Deep Operator Learning Jae Yong Lee Yeoneung Kim 23 2 0 16 Jun 2024
A MgNO Method for Multiphase Flow in Porous Media Xinliang Liu Xia Yang Chen-Song Zhang Lian Zhang Li Zhao AI4CE 42 0 0 16 Jun 2024
DeltaPhi: Learning Physical Trajectory Residual for PDE Solving Xihang Yue Linchao Zhu Yi Yang AI4CE 34 1 0 14 Jun 2024
Neural networks in non-metric spaces Luca Galimberti 56 1 0 13 Jun 2024
Enhancing Cross-Modal Fine-Tuning with Gradually Intermediate Modality Generation Lincan Cai Shuang Li Wenxuan Ma Jingxuan Kang Binhui Xie Zixun Sun Chengwei Zhu MoE MoMe 42 0 0 13 Jun 2024
FouRA: Fourier Low Rank Adaptation Shubhankar Borse Shreya Kadambi N. Pandey Kartikeya Bhardwaj Viswanath Ganapathy Sweta Priyadarshi Risheek Garrepalli Rafael Esteves Munawar Hayat Fatih Porikli 42 6 0 13 Jun 2024
Strategies for Pretraining Neural Operators Anthony Y. Zhou Cooper Lorsung AmirPouya Hemmasian Amir Barati Farimani AI4CE 41 5 0 12 Jun 2024
Invariant multiscale neural networks for data-scarce scientific applications I. Schurov D. Alforov M. Katsnelson A. Bagrov A. Itin AI4CE 42 0 0 12 Jun 2024
Continuum Attention for Neural Operators Edoardo Calvello Nikola B. Kovachki Matthew E. Levine Andrew M. Stuart 36 9 0 10 Jun 2024
Space-Time Continuous PDE Forecasting using Equivariant Neural Fields David M. Knigge David R. Wessels Riccardo Valperga Samuele Papa J. Sonke E. Gavves Erik J. Bekkers AI4CE 36 4 0 10 Jun 2024
Learning Physical Simulation with Message Passing Transformer Zeyi Xu Yifei Li AI4CE 50 1 0 10 Jun 2024
Flexible Multi-Dimensional FFTs for Plane Wave Density Functional Theory Codes Doru-Thom Popovici M. D. Ben Osni Marques Andrew Canning 27 0 0 08 Jun 2024