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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
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Alpha-VI DeepONet: A prior-robust variational Bayesian approach for enhancing DeepONets with uncertainty quantification Soban Nasir Lone Subhayan De R. Nayek BDL 66 1 0 01 Aug 2024
Generative Learning of the Solution of Parametric Partial Differential Equations Using Guided Diffusion Models and Virtual Observations Han Gao Sebastian Kaltenbach Petros Koumoutsakos DiffM AI4CE 119 9 0 31 Jul 2024
AhmedML: High-Fidelity Computational Fluid Dynamics Dataset for Incompressible, Low-Speed Bluff Body Aerodynamics Neil Ashton Danielle C. Maddix Samuel Gundry Parisa M. Shabestari AI4CE 82 3 0 30 Jul 2024
Weak neural variational inference for solving Bayesian inverse problems without forward models: applications in elastography Vincent C. Scholz Yaohua Zang P. Koutsourelakis 91 3 0 30 Jul 2024
Machine learning surrogates for efficient hydrologic modeling: Insights from stochastic simulations of managed aquifer recharge Timothy Dai Kate Maher Z. Perzan 104 4 0 30 Jul 2024
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Multi-physics Simulation Guided Generative Diffusion Models with Applications in Fluid and Heat Dynamics Naichen Shi Hao Yan Shenghan Guo Raed Al Kontar DiffM AI4CE 64 0 0 25 Jul 2024
Comparing and Contrasting Deep Learning Weather Prediction Backbones on Navier-Stokes and Atmospheric Dynamics Matthias Karlbauer Danielle C. Maddix Abdul Fatir Ansari Boran Han Gaurav Gupta Yuyang Wang Andrew Stuart Michael W. Mahoney AI4TS 103 1 0 19 Jul 2024
A Resolution Independent Neural Operator B. Bahmani S. Goswami Ioannis G. Kevrekidis Michael D. Shields 86 8 0 17 Jul 2024
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 117 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 Changwen Zheng Huijie Guo Jianqi Zhang Changwen Zheng Jingyao Wang AI4TS 85 6 0 17 Jul 2024
Multi evolutional deep neural networks (Multi-EDNN) Hadden Kim T. Zaki 70 1 0 17 Jul 2024
Base Models for Parabolic Partial Differential Equations Xingzi Xu Ali Hasan Jie Ding Vahid Tarokh 84 2 0 17 Jul 2024
Dilated convolution neural operator for multiscale partial differential equations Bo Xu Xinliang Liu Lei Zhang AI4CE 61 4 0 16 Jul 2024
Deep Learning without Global Optimization by Random Fourier Neural Networks Owen Davis Gianluca Geraci Mohammad Motamed BDL 133 0 0 16 Jul 2024
Separable Operator Networks Xinling Yu S. Hooten Ziyue Liu Yequan Zhao M. Fiorentino T. Van Vaerenbergh Zheng Zhang 107 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 75 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 68 6 0 13 Jul 2024
Accelerating Electron Dynamics Simulations through Machine Learned Time Propagators Karan Shah A. Cangi AI4CE 107 1 0 12 Jul 2024
How more data can hurt: Instability and regularization in next-generation reservoir computing Yuanzhao Zhang Edmilson Roque dos Santos Huixin Zhang Sean P. Cornelius 153 2 0 11 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 97 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 115 56 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 118 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 88 0 0 07 Jul 2024
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Green Multigrid Network Ye Lin Young Ju Lee Jiwei Jia 74 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 169 2 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 192 1 0 04 Jul 2024
Magnetic Hysteresis Modeling with Neural Operators Abhishek Chandra B. Daniels M. Curti K. Tiels E. Lomonova AI4CE 82 3 0 03 Jul 2024
Self-supervised Pretraining for Partial Differential Equations Varun Madhavan Amal S Sebastian Bharath Ramsundar Venkatasubramanian Viswanathan AI4CE 78 0 0 03 Jul 2024
Membership Inference Attacks Against Time-Series Models Noam Koren Abigail Goldsteen Ariel Farkash Guy Amit 124 0 0 03 Jul 2024
UniFIDES: Universal Fractional Integro-Differential Equation Solvers Milad Saadat Deepak Mangal Safa Jamali AI4CE 72 1 0 01 Jul 2024
Adaptive control of reaction-diffusion PDEs via neural operator-approximated gain kernels Luke Bhan Yuanyuan Shi Miroslav Krstic 96 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 70 2 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 86 2 0 29 Jun 2024
Advection Augmented Convolutional Neural Networks N. Zakariaei Siddharth Rout Eldad Haber Moshe Eliasof AI4TS 61 3 0 27 Jun 2024
A Fast Learning-Based Surrogate of Electrical Machines using a Reduced Basis Alejandro Ribés Nawfal Benchekroun Théo Delagnes AI4CE 80 1 0 27 Jun 2024
Learning Modality Knowledge Alignment for Cross-Modality Transfer Wenxuan Ma Shuang Li Lincan Cai Jingxuan Kang 81 2 0 27 Jun 2024
Operator Learning of Lipschitz Operators: An Information-Theoretic Perspective Samuel Lanthaler 93 4 0 26 Jun 2024
DiffusionPDE: Generative PDE-Solving Under Partial Observation Jiahe Huang Guandao Yang Zichen Wang Jeong Joon Park DiffM 92 30 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 87 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 Cosmin Safta AI4CE 88 3 0 24 Jun 2024
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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 80 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 85 8 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 86 6 0 20 Jun 2024
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Two-level overlapping additive Schwarz preconditioner for training scientific machine learning applications Youngkyu Lee Alena Kopanicáková George Karniadakis AI4CE 74 1 0 16 Jun 2024