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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
State-space models are accurate and efficient neural operators for dynamical systems Zheyuan Hu Nazanin Ahmadi Daryakenari Qianli Shen Kenji Kawaguchi George Karniadakis Mamba AI4CE 226 18 0 28 Jan 2025
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Stochastic Process Learning via Operator Flow Matching Yaozhong Shi Zachary E. Ross D. Asimaki Kamyar Azizzadenesheli 166 3 0 10 Jan 2025
Data-Driven Radio Propagation Modeling using Graph Neural Networks Adrien Bufort Laurent Lebocq Stefan Cathabard GNN 85 3 0 08 Jan 2025
Orthogonal greedy algorithm for linear operator learning with shallow neural network Ye Lin Jiwei Jia Young Ju Lee Ran Zhang 78 1 0 06 Jan 2025
TensorGRaD: Tensor Gradient Robust Decomposition for Memory-Efficient Neural Operator Training Robert Joseph George David Pitt Jiawei Zhao Jean Kossaifi Cheng Luo Yuandong Tian Anima Anandkumar Anima Anandkumar 92 2 0 04 Jan 2025
Variational autoencoders with latent high-dimensional steady geometric flows for dynamics Andrew Gracyk DRL 178 1 0 03 Jan 2025
Ultrasound Lung Aeration Map via Physics-Aware Neural Operators Jiayun Wang Oleksii Ostras Masashi Sode Bahareh Tolooshams Zongyi Li Kamyar Azizzadenesheli Gianmarco Pinton Anima Anandkumar 87 2 0 03 Jan 2025
Modeling Continuous Spatial-temporal Dynamics of Turbulent Flow with Test-time Refinement Shengyu Chen P. Givi Can Zheng X. Jia AI4CE 113 0 0 31 Dec 2024
Resolution-Robust 3D MRI Reconstruction with 2D Diffusion Priors: Diverse-Resolution Training Outperforms Interpolation Anselm Krainovic Stefan Ruschke Reinhard Heckel MedIm 74 0 0 24 Dec 2024
Point-DeepONet: A Deep Operator Network Integrating PointNet for Nonlinear Analysis of Non-Parametric 3D Geometries and Load Conditions Jangseop Park Namwoo Kang AI4CE 3DPC 115 1 0 24 Dec 2024
An explainable operator approximation framework under the guideline of Green's function Jianghang Gu Ling Wen Yuntian Chen Shiyi Chen 125 0 0 21 Dec 2024
jinns: a JAX Library for Physics-Informed Neural Networks Hugo Gangloff Nicolas Jouvin AI4CE 126 0 0 18 Dec 2024
Data-Efficient Inference of Neural Fluid Fields via SciML Foundation Model Yuqiu Liu Jingxuan Xu Mauricio Soroco Yunchao Wei Wuyang Chen AI4CE 144 2 0 18 Dec 2024
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Can neural operators always be continuously discretized? Takashi Furuya Michael Puthawala Maarten V. de Hoop Matti Lassas 113 1 0 04 Dec 2024
A deformation-based framework for learning solution mappings of PDEs defined on varying domains Shanshan Xiao Pengzhan Jin Yifa Tang 102 1 0 02 Dec 2024
The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learning Ruben Ohana Michael McCabe Lucas Meyer Rudy Morel Fruzsina J. Agocs ... François Rozet Liam Parker M. Cranmer S. Ho Shirley Ho PINN AI4CE 193 23 1 30 Nov 2024
Advancing Generalization in PINNs through Latent-Space Representations Honghui Wang Yifan Pu Shiji Song Gao Huang AI4CE PINN 136 0 0 28 Nov 2024
What do physics-informed DeepONets learn? Understanding and improving training for scientific computing applications Emily Williams Amanda A. Howard B. Meuris P. Stinis AI4CE 105 0 0 27 Nov 2024
An Ensemble Approach for Brain Tumor Segmentation and Synthesis Juampablo Heras Rivera Agamdeep Chopra Tianyi Ren Hitender Oswal Yutong Pan ... Akshay Jaikanth Pavan Kancharla Jacob Ruzevick Daniela Ushizima Mehmet Kurt 141 2 0 26 Nov 2024
U-WNO:U-Net-enhanced Wavelet Neural Operator for fetal head segmentation Pranava Seth Deepak Mishra Veena Iyer 105 0 0 25 Nov 2024
What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Arvind Mohan Ashesh Chattopadhyay Jonah Miller 184 0 0 22 Nov 2024
Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries Zhihao Li Haoze Song Di Xiao Zhilu Lai Wei Wang AI4CE 236 4 0 18 Nov 2024
Physics Encoded Blocks in Residual Neural Network Architectures for Digital Twin Models Muhammad Saad Zia Ashiq Anjum Lu Liu Anthony Conway Anasol Pena Rios AI4CE PINN 148 0 0 18 Nov 2024
Neural Operators Can Play Dynamic Stackelberg Games Guillermo Alvarez Ibrahim Ekren Anastasis Kratsios Xuwei Yang 68 0 0 14 Nov 2024
NeuralDEM -- Real-time Simulation of Industrial Particulate Flows Benedikt Alkin Tobias Kronlachner Samuele Papa Stefan Pirker Thomas Lichtenegger Johannes Brandstetter PINN AI4CE 126 3 1 14 Nov 2024
When are dynamical systems learned from time series data statistically accurate? Jeongjin Park Nicole Yang Nisha Chandramoorthy AI4TS 72 5 0 09 Nov 2024
Open-Source High-Speed Flight Surrogate Modeling Framework Tyler E. Korenyi-Both Nathan J. Falkiewicz Matthew C. Jones AI4CE 61 0 0 06 Nov 2024
PACE: Pacing Operator Learning to Accurate Optical Field Simulation for Complicated Photonic Devices Hanqing Zhu Wenyan Cong Guojin Chen Shupeng Ning Ray T. Chen Jiaqi Gu David Z. Pan 63 1 0 05 Nov 2024
LE-PDE++: Mamba for accelerating PDEs Simulations Aoming Liang Zhaoyang Mu Qi liu Ruipeng Li Mingming Ge Dixia Fan AI4CE 92 0 0 04 Nov 2024
How Analysis Can Teach Us the Optimal Way to Design Neural Operators Vu-Anh Le Mehmet Dik 81 0 0 04 Nov 2024
LES-SINDy: Laplace-Enhanced Sparse Identification of Nonlinear Dynamical Systems Haoyang Zheng Guang Lin 66 1 0 04 Nov 2024
An Efficient Hierarchical Preconditioner-Learner Architecture for Reconstructing Multi-scale Basis Functions of High-dimensional Subsurface Fluid Flow Peiqi Li Jie Chen AI4CE 54 0 0 01 Nov 2024
Conformalized Prediction of Post-Fault Voltage Trajectories Using Pre-trained and Finetuned Attention-Driven Neural Operators Amirhossein Mollaali Gabriel Zufferey Gonzalo E. Constante-Flores Christian Moya Can Li Guang Lin Meng Yue 66 1 0 31 Oct 2024
GoRINNs: Godunov-Riemann Informed Neural Networks for Learning Hyperbolic Conservation Laws Dimitrios G. Patsatzis Mario di Bernardo L. Russo Constantinos Siettos AI4CE 50 2 0 29 Oct 2024
P $^2$ C $^2$ Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamics Qi Wang Pu Ren Hao Zhou Xin-Yang Liu Z. Deng ... Zidong Wang Jian-Xun Wang Ji-Rong_Wen Hao Sun Yang Liu 134 10 0 29 Oct 2024
Learning Infinitesimal Generators of Continuous Symmetries from Data Gyeonghoon Ko Hyunsu Kim Juho Lee 73 5 0 29 Oct 2024
PACER: Physics Informed Uncertainty Aware Climate Emulator Hira Saleem Flora Salim Cormac Purcell 52 0 0 29 Oct 2024
A Mathematical Analysis of Neural Operator Behaviors Vu-Anh Le Mehmet Dik AI4CE 60 1 0 28 Oct 2024
Physics-informed Partitioned Coupled Neural Operator for Complex Networks Weidong Wu Yong Zhang Lili Hao Y. Chen Xiaoyan Sun Dunwei Gong AI4CE 60 0 0 28 Oct 2024
Neural Hamilton: Can A.I. Understand Hamiltonian Mechanics? Tae-Geun Kim Seong Chan Park 97 0 0 28 Oct 2024
Trajectory Flow Matching with Applications to Clinical Time Series Modeling Xi Zhang Yuan Pu Yuki Kawamura Andrew Loza Yoshua Bengio Dennis L. Shung Alexander Tong OOD AI4TS MedIm 130 9 0 28 Oct 2024
GeoFUSE: A High-Efficiency Surrogate Model for Seawater Intrusion Prediction and Uncertainty Reduction Su Jiang Chuyang Liu D. Dwivedi AI4CE 56 0 0 26 Oct 2024
CGKN: A Deep Learning Framework for Modeling Complex Dynamical Systems and Efficient Data Assimilation Chuanqi Chen Nan Chen Yinling Zhang Jin-Long Wu AI4CE 85 2 0 26 Oct 2024
Using Parametric PINNs for Predicting Internal and External Turbulent Flows Shinjan Ghosh Amit Chakraborty Georgia Olympia Brikis Biswadip Dey 34 1 0 24 Oct 2024
Generalizable Motion Planning via Operator Learning Sharath Matada Luke Bhan Yuanyuan Shi Nikolay Atanasov 140 0 0 23 Oct 2024