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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
Teaching Artificial Intelligence to Perform Rapid, Resolution-Invariant Grain Growth Modeling via Fourier Neural Operator Iman Peivaste Ahmed Makradi Salim Belouettar AI4CE 72 0 0 18 Mar 2025
Mitigating Spectral Bias in Neural Operators via High-Frequency Scaling for Physical Systems Siavash Khodakarami Vivek Oommen Aniruddha Bora George Karniadakis AI4CE 113 5 0 17 Mar 2025
Probabilistic Forecasting for Dynamical Systems with Missing or Imperfect Data Siddharth Rout Eldad Haber Stéphane Gaudreault AI4TS AI4CE 135 0 0 15 Mar 2025
Fourier Neural Operator based surrogates for $CO_2$ storage in realistic geologies Anirban Chandra Marius Koch Suraj Pawar Aniruddha Panda Kamyar Azizzadenesheli ... Farah Hariri Clement Etienam Pandu Devarakota Anima Anandkumar Detlef Hohl AI4CE 138 4 0 14 Mar 2025
Spatio-temporal Fourier Transformer (StFT) for Long-term Dynamics Prediction Da Long Shandian Zhe Samuel Williams L. Oliker Zhe Bai AI4TS AI4CE 86 0 0 14 Mar 2025
FLASHμ: Fast Localizing And Sizing of Holographic Microparticles Ayush Paliwal Oliver Schlenczek Birte Thiede Manuel Santos Pereira Katja Stieger Eberhard Bodenschatz Gholamhossein Bagheri Alexander Ecker 83 0 0 14 Mar 2025
AMR-Transformer: Enabling Efficient Long-range Interaction for Complex Neural Fluid Simulation Zeyi Xu Jinfan Liu Kuangxu Chen Ye Chen Zhangli Hu Bingbing Ni 99 0 0 13 Mar 2025
Probability-Flow ODE in Infinite-Dimensional Function Spaces Kunwoo Na Junghyun Lee Se-Young Yun Sungbin Lim 79 0 0 13 Mar 2025
FourierSR: A Fourier Token-based Plugin for Efficient Image Super-Resolution Wenjie Li Heng Guo Yuefeng Hou Zhanyu Ma 69 0 0 13 Mar 2025
Model-Agnostic Knowledge Guided Correction for Improved Neural Surrogate Rollout Bharat Srikishan Daniel O'Malley Mohamed Mehana Nicholas Lubbers Nikhil Muralidhar AI4CE 76 0 0 13 Mar 2025
PIMRL: Physics-Informed Multi-Scale Recurrent Learning for Spatiotemporal Prediction Han Wan Qi Wang Hao Sun Hao Sun AI4CE 111 1 0 13 Mar 2025
From Equations to Insights: Unraveling Symbolic Structures in PDEs with LLMs Rohan Bhatnagar Ling Liang Krish Patel Haizhao Yang 75 1 0 13 Mar 2025
Symbolic Neural Ordinary Differential Equations Xin Li Chengli Zhao Xue Zhang Xiaojun Duan 69 2 0 11 Mar 2025
Flexible and Efficient Probabilistic PDE Solvers through Gaussian Markov Random Fields Tim Weiland Marvin Pfortner Philipp Hennig AI4CE 79 0 0 11 Mar 2025
A Deep-Learning Iterative Stacked Approach for Prediction of Reactive Dissolution in Porous Media Marcos Cirne Hannah Menke A. Abdellatif Julien Maes Florian Doster A. Elsheikh AI4CE 79 0 0 11 Mar 2025
NukesFormers: Unpaired Hyperspectral Image Generation with Non-Uniform Domain Alignment Jiaojiao Li Shiyao Duan Haitao XU Rui Song 104 0 0 10 Mar 2025
Parametric Value Approximation for General-sum Differential Games with State Constraints Lei Zhang Mukesh Ghimire Wenlong Zhang Z. Xu Yi Ren 72 0 0 10 Mar 2025
Denoising Hamiltonian Network for Physical Reasoning Congyue Deng Brandon Yushan Feng Cecilia Garraffo Alan Garbarz Robin Walters William T. Freeman Leonidas Guibas Kaiming He AI4CE 95 0 0 10 Mar 2025
No Forgetting Learning: Memory-free Continual Learning Mohammad Ali Vahedifar Qi Zhang 80 0 0 06 Mar 2025
Data-Driven Probabilistic Air-Sea Flux Parameterization Jiarong Wu Pavel Perezhogin D. Gagne Brandon Reichl Aneesh C. Subramanian Elizabeth Thompson Laure Zanna 138 0 0 06 Mar 2025
A Survey of Foundation Models for Environmental Science Runlong Yu Shengyu Chen Yiqun Xie X. Jia AI4CE 141 1 0 05 Mar 2025
Call for Rigor in Reporting Quality of Instruction Tuning Data Hyeonseok Moon Jaehyung Seo Heuiseok Lim ALM 123 0 0 04 Mar 2025
Weakly-Constrained 4D Var for Downscaling with Uncertainty using Data-Driven Surrogate Models Philip Dinenis Vishwas Rao Mihai Anitescu 113 0 0 04 Mar 2025
Riemann Tensor Neural Networks: Learning Conservative Systems with Physics-Constrained Networks Anas Jnini Lorenzo Breschi Flavio Vella AI4CE 83 0 0 02 Mar 2025
MAPS: Multi-Fidelity AI-Augmented Photonic Simulation and Inverse Design Infrastructure Pingchuan Ma Zhengqi Gao Meng Zhang Haoyu Yang Mark Ren Rena Huang Duane S. Boning Jiaqi Gu 84 0 0 02 Mar 2025
Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis Yasamin Jalalian Juan Felipe Osorio Ramirez Alexander W. Hsu Bamdad Hosseini H. Owhadi 178 0 0 02 Mar 2025
DeepONet Augmented by Randomized Neural Networks for Efficient Operator Learning in PDEs Zhaoxi Jiang Fei Wang 54 0 0 01 Mar 2025
Cauchy Random Features for Operator Learning in Sobolev Space Chunyang Liao Deanna Needell Hayden Schaeffer 127 1 0 01 Mar 2025
FANformer: Improving Large Language Models Through Effective Periodicity Modeling Yihong Dong Ge Li Xue Jiang Yongding Tao Kechi Zhang ... Huanyu Liu Jiazheng Ding Jia Li Jinliang Deng Hong Mei AI4TS 138 0 0 28 Feb 2025
Deep Learning of the Evolution Operator Enables Forecasting of Out-of-Training Dynamics in Chaotic Systems Ira J. S. Shokar Peter H. Haynes R. Kerswell AI4TS 86 1 0 28 Feb 2025
CirT: Global Subseasonal-to-Seasonal Forecasting with Geometry-inspired Transformer Yang Liu Zinan Zheng Jiashun Cheng Fugee Tsung Deli Zhao Yu Rong Jiajun Li 111 5 0 27 Feb 2025
BeamVQ: Beam Search with Vector Quantization to Mitigate Data Scarcity in Physical Spatiotemporal Forecasting Weiyan Wang Xingjian Shi Ruiqi Shu Yuan Gao Rui Chen ... Shuaipeng Li Yangyu Tao Di Wang Hao Wu Xiaomeng Huang 109 0 0 26 Feb 2025
Mechanistic PDE Networks for Discovery of Governing Equations Adeel Pervez E. Gavves Francesco Locatello AI4CE 148 1 0 25 Feb 2025
The FFT Strikes Again: An Efficient Alternative to Self-Attention Jacob Fein-Ashley Rajgopal Kannan Viktor Prasanna 152 1 0 25 Feb 2025
Robust Confinement State Classification with Uncertainty Quantification through Ensembled Data-Driven Methods Y. Poels Cristina Venturini Alessandro Pau Olivier Sauter Vlado Menkovski TCV Team WPTE team 156 2 0 24 Feb 2025
Erwin: A Tree-based Hierarchical Transformer for Large-scale Physical Systems Maksim Zhdanov Max Welling Jan-Willem van de Meent AI4CE 121 3 0 24 Feb 2025
MetaSym: A Symplectic Meta-learning Framework for Physical Intelligence Pranav Vaidhyanathan Aristotelis Papatheodorou Mark T. Mitchison Natalia Ares Ioannis Havoutis PINN AI4CE 152 1 0 23 Feb 2025
Verification and Validation for Trustworthy Scientific Machine Learning John D. Jakeman Lorena A. Barba J. Martins Thomas O'Leary-Roseberry AI4CE 136 1 0 21 Feb 2025
Finite Element Operator Network for Solving Elliptic-type parametric PDEs Jae Yong Lee Seungchan Ko Youngjoon Hong 140 5 0 20 Feb 2025
Sampling-based Distributed Training with Message Passing Neural Network P. Kakka Sheel Nidhan Rishikesh Ranade Jay Pathak J. MacArt GNN 201 3 0 20 Feb 2025
Scalable Back-Propagation-Free Training of Optical Physics-Informed Neural Networks Yequan Zhao Xinling Yu Xian Xiao Zhe Chen Ziyue Liu G. Kurczveil R. Beausoleil Shixuan Liu Zheng Zhang 126 0 0 17 Feb 2025
FuncGenFoil: Airfoil Generation and Editing Model in Function Space Jinouwen Zhang Junjie Ren A. Yang Yan Lu Lu Chen Hairun Xie Jing Wang Miao Zhang W. Ouyang Shixiang Tang 577 0 0 15 Feb 2025
A Deep Inverse-Mapping Model for a Flapping Robotic Wing Hadar Sharvit Raz Karl Tsevi Beatus 102 0 0 13 Feb 2025
DGenNO: A Novel Physics-aware Neural Operator for Solving Forward and Inverse PDE Problems based on Deep, Generative Probabilistic Modeling Yaohua Zang P. Koutsourelakis AI4CE 131 1 0 10 Feb 2025
A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Elisa Negrini Yuxuan Liu Liu Yang Stanley Osher Hayden Schaeffer AI4CE 146 0 0 09 Feb 2025
Learning Memory and Material Dependent Constitutive Laws K. Bhattacharya Lianghao Cao George Stepaniants Andrew M. Stuart Margaret Trautner 140 1 0 08 Feb 2025
Transfer Learning in Physics-Informed Neural Networks: Full Fine-Tuning, Lightweight Fine-Tuning, and Low-Rank Adaptation Yizheng Wang Jinshuai Bai M. Eshaghi C. Anitescu X. Zhuang Timon Rabczuk Yinghua Liu AI4CE 113 2 0 02 Feb 2025
Muti-Fidelity Prediction and Uncertainty Quantification with Laplace Neural Operators for Parametric Partial Differential Equations Haoyang Zheng Guang Lin AI4CE 96 0 0 01 Feb 2025
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation Qi Wang Yuan Mi Haoran Wang Yi Zhang Ruizhi Chengze Hongsheng Liu J. Wen Hao Sun AI4CE 95 1 0 28 Jan 2025
Graph Neural Preconditioners for Iterative Solutions of Sparse Linear Systems Jie Chen AI4CE 242 4 0 28 Jan 2025