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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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From Local Interactions to Global Operators: Scalable Gaussian Process Operator for Physical Systems Sawan Kumar Tapas Tripura R. Nayek S. Chakraborty 12 0 0 18 Jun 2025
Structured Generative Modeling with the Thermodynamic Kolmogorov-Arnold Model Prithvi Raj 25 0 0 17 Jun 2025
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Ze Cheng Zhuoyu Li Xiaoqiang Wang Jianing Huang Zhizhou Zhang Zhongkai Hao Hang Su 25 0 0 16 Jun 2025
GITO: Graph-Informed Transformer Operator for Learning Complex Partial Differential Equations Milad Ramezankhani Janak M. Patel A. Deodhar Dagnachew Birru AI4CE 20 0 0 16 Jun 2025
BSA: Ball Sparse Attention for Large-scale Geometries Catalin E. Brita Hieu Nguyen Lohithsai Yadala Chanchu Domonkos Nagy Maksim Zhdanov 25 0 0 14 Jun 2025
Learning Mappings in Mesh-based Simulations Shirin Hosseinmardi Ramin Bostanabad AI4CE 15 0 0 14 Jun 2025
OmniFluids: Unified Physics Pre-trained Modeling of Fluid Dynamics Rui Zhang Qi Meng Han Wan Yang Liu Zhi-Ming Ma Hao Sun AI4CE 104 0 0 12 Jun 2025
An Attention-based Spatio-Temporal Neural Operator for Evolving Physics V. Karkaria Doksoo Lee Yi-Ping Chen Yue Yu Wei Chen AI4CE 13 0 0 12 Jun 2025
History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Binyao Guo Zihan Lin QiZhi He AI4CE 114 0 0 12 Jun 2025
Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning Julius Berner Miguel Liu-Schiaffini Jean Kossaifi Valentin Duruisseaux Boris Bonev Kamyar Azizzadenesheli A. Anandkumar AI4CE 127 0 0 12 Jun 2025
A Survey of Physics-Informed AI for Complex Urban Systems En Xu Huandong Wang Yunke Zhang Sibo Li Yinzhou Tang ... Yuming Lin Yuan Yuan Xiaochen Fan Jingtao Ding Yong Li AI4CE 25 0 0 09 Jun 2025
FunDiff: Diffusion Models over Function Spaces for Physics-Informed Generative Modeling Sifan Wang Zehao Dou Tong-Rui Liu Lu Lu DiffM 33 0 0 09 Jun 2025
Deep regularization networks for inverse problems with noisy operators Fatemeh Pourahmadian Yang Xu 13 0 0 08 Jun 2025
End-to-End Probabilistic Framework for Learning with Hard Constraints Utkarsh Utkarsh Danielle C. Maddix Ruijun Ma Michael W. Mahoney Yuyang Wang AI4TS BDL 19 0 0 08 Jun 2025
High-Fidelity Scientific Simulation Surrogates via Adaptive Implicit Neural Representations Ziwei Li Yuhan Duan Tianyu Xiong Yi-Tang Chen Wei-Lun Chao H. Shen AI4CE 22 0 0 07 Jun 2025
Diffusion-Based Hierarchical Graph Neural Networks for Simulating Nonlinear Solid Mechanics Tobias Würth Niklas Freymuth Gerhard Neumann Luise Kärger DiffM AI4CE 59 0 0 06 Jun 2025
Geometric and Physical Constraints Synergistically Enhance Neural PDE Surrogates Yunfei Huang David S. Greenberg AI4CE 33 0 0 05 Jun 2025
NOBLE -- Neural Operator with Biologically-informed Latent Embeddings to Capture Experimental Variability in Biological Neuron Models Luca Ghafourpour Valentin Duruisseaux Bahareh Tolooshams Philip H. Wong Costas A. Anastassiou A. Anandkumar 102 0 0 05 Jun 2025
Hierarchical Implicit Neural Emulators Ruoxi Jiang Xiao Zhang Karan Jakhar Peter Y. Lu Pedram Hassanzadeh Michael Maire Rebecca Willett AI4CE 95 0 0 05 Jun 2025
Physics-Constrained Flow Matching: Sampling Generative Models with Hard Constraints Utkarsh Utkarsh Pengfei Cai Alan Edelman Rafael Gomez-Bombarelli Christopher Rackauckas AI4CE 76 0 0 04 Jun 2025
Solving engineering eigenvalue problems with neural networks using the Rayleigh quotient Conor Rowan John A. Evans K. Maute Alireza Doostan 22 0 0 04 Jun 2025
Towards real-time assessment of infrasound event detection capability using deep learning-based transmission loss estimation Alice Janela Cameijo Alexis Le Pichon Youcef Sklab Souhila Arib Quentin Brissaud Sven peter Naesholm Constantino Listowski Samir Aknine 13 0 0 03 Jun 2025
Rectified Flows for Fast Multiscale Fluid Flow Modeling Victor Armegioiu Yannick Ramic Siddhartha Mishra DiffM AI4CE 52 0 0 03 Jun 2025
Deep learning methods for modeling infrasound transmission loss in the middle atmosphere Alexis Le Pichon Alice Janela Cameijo Samir Aknine Youcef Sklab Souhila Arib Quentin Brissaud Sven Peter Naesholm 13 0 0 02 Jun 2025
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Jin Song Kenji Kawaguchi Zhenya Yan AI4CE 75 0 0 02 Jun 2025
Neuro-Symbolic Operator for Interpretable and Generalizable Characterization of Complex Piezoelectric Systems Abhishek Chandra Taniya Kapoor M. Curti K. Tiels E. Lomonova 20 0 0 30 May 2025
Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Wilfried Genuist Éric Savin F. Gatti Didier Clouteau DiffM AI4CE 35 0 0 30 May 2025
DeepRTE: Pre-trained Attention-based Neural Network for Radiative Tranfer Yekun Zhu Min Tang Zheng Ma 21 0 0 29 May 2025
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Nathan Lichtlé Alexi Canesse Zhe Fu Hossein Nick Zinat Matin M. D. Monache Alexandre M. Bayen 43 0 0 29 May 2025
EquiReg: Equivariance Regularized Diffusion for Inverse Problems Bahareh Tolooshams Aditi Chandrashekar Rayhan Zirvi Abbas Mammadov Jiachen Yao Chuwei Wang Anima Anandkumar DiffM 64 0 0 29 May 2025
FNOPE: Simulation-based inference on function spaces with Fourier Neural Operators Guy Moss Leah Sophie Muhle R. Drews Jakob H Macke Cornelius Schroder 47 0 0 28 May 2025
Learning Where to Learn: Training Distribution Selection for Provable OOD Performance Nicolas Guerra Nicholas H. Nelsen Yunan Yang OOD 81 0 0 27 May 2025
Spectral-inspired Neural Operator for Data-efficient PDE Simulation in Physics-agnostic Regimes Han Wan Rui Zhang Hao Sun AI4CE 80 0 0 27 May 2025
Recurrent Neural Operators: Stable Long-Term PDE Prediction Zaijun Ye Chen-Song Zhang Wansheng Wang AI4CE 64 0 0 27 May 2025
Efficient Deconvolution in Populational Inverse Problems Arnaud Vadeboncoeur Mark Girolami Andrew M. Stuart 42 0 0 26 May 2025
Graph-Based Operator Learning from Limited Data on Irregular Domains Yile Li Shandian Zhe AI4CE 46 0 0 25 May 2025
Tokenizing Electron Cloud in Protein-Ligand Interaction Learning H. Lin Odin Zhang Jia Xu Yunfan Liu Zheng Cheng Lirong Wu Yufei Huang Zhifeng Gao Stan Z. Li 51 0 0 25 May 2025
Latent Mamba Operator for Partial Differential Equations Karn Tiwari Niladri Dutta N. M. A. Krishnan P. PrathoshA Mamba AI4CE 76 0 0 25 May 2025
S $^2$ GPT-PINNs: Sparse and Small models for PDEs Yajie Ji Yanlai Chen Shawn Koohy 10 0 0 25 May 2025
Governing Equation Discovery from Data Based on Differential Invariants Lexiang Hu Yikang Li Zhouchen Lin 54 0 0 24 May 2025
SPDEBench: An Extensive Benchmark for Learning Regular and Singular Stochastic PDEs Zheyan Li Yuantu Zhu Hao Ni Siran Li Bingguang Chen Qi Meng 60 0 0 24 May 2025
Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems Alexander Khrabry Edward Startsev Andrew Powis Igor Kaganovich AI4CE 92 0 0 24 May 2025
Spiking Transformers Need High Frequency Information Yuetong Fang Deming Zhou Ziqing Wang Hongwei Ren Zecui Zeng Lusong Li Shibo Zhou Renjing Xu 57 0 0 24 May 2025
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Continuum Transformers Perform In-Context Learning by Operator Gradient Descent Abhiti Mishra Yash Patel Ambuj Tewari 61 0 0 23 May 2025
Deep Operator Neural Network Model Predictive Control Thomas Oliver de Jong Khemraj Shukla Mircea Lazar 57 0 0 23 May 2025
Universal Domain Adaptation Benchmark for Time Series Data Representation Romain Mussard Fannia Pacheco Maxime Berar Gilles Gasso Paul Honeine AI4TS 66 0 0 23 May 2025
Operator Learning for Schrödinger Equation: Unitarity, Error Bounds, and Time Generalization Yash Patel Unique Subedi Ambuj Tewari 57 0 0 23 May 2025