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"

50 / 1,297 papers shown

Title
Bond Graphs for multi-physics informed Neural Networks for multi-variate time series Alexis-Raja Brachet Pierre-Yves Richard Céline Hudelot AI4CE 32 0 0 22 May 2024
The Power of Next-Frame Prediction for Learning Physical Laws T. Winterbottom G. Hudson Daniel Kluvanec Dean L. Slack Jamie Sterling Junjie Shentu Chenghao Xiao Zheming Zhou Noura Al Moubayed 29 1 0 21 May 2024
Large scale scattering using fast solvers based on neural operators Zongren Zou Adar Kahana Enrui Zhang Eli Turkel Rishikesh Ranade Jay Pathak George Karniadakis 50 1 0 20 May 2024
Hierarchical Neural Operator Transformer with Learnable Frequency-aware Loss Prior for Arbitrary-scale Super-resolution Xihaier Luo Xiaoning Qian Byung-Jun Yoon 42 3 0 20 May 2024
Ensemble and Mixture-of-Experts DeepONets For Operator Learning Ramansh Sharma Varun Shankar 60 0 0 20 May 2024
From Fourier to Neural ODEs: Flow Matching for Modeling Complex Systems Xin Li Jingdong Zhang Qunxi Zhu Chengli Zhao Xue Zhang Xiaojun Duan Wei Lin 58 3 0 19 May 2024
PDE Control Gym: A Benchmark for Data-Driven Boundary Control of Partial Differential Equations Luke Bhan Yuexin Bian Miroslav Krstic Yuanyuan Shi OOD AI4CE 27 6 0 18 May 2024
Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning Junfeng Chen Kailiang Wu 40 3 0 15 May 2024
PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs Simone Brivio S. Fresca Andrea Manzoni AI4CE 38 6 0 14 May 2024
Deep Neural Operator Enabled Digital Twin Modeling for Additive Manufacturing Ning Liu Xuxiao Li M. Rajanna E. Reutzel Brady A Sawyer Prahalada Rao Jim Lua Nam Phan Yue Yu AI4CE 48 8 0 13 May 2024
CaFA: Global Weather Forecasting with Factorized Attention on Sphere Zijie Li Anthony Y. Zhou Saurabh Patil A. Farimani 45 6 0 12 May 2024
Diffusion models as probabilistic neural operators for recovering unobserved states of dynamical systems Katsiaryna Haitsiukevich O. Poyraz Pekka Marttinen Alexander Ilin DiffM 56 2 0 11 May 2024
Learning Flame Evolution Operator under Hybrid Darrieus Landau and Diffusive Thermal Instability Rixin Yu Erdzan Hodzic Karl-johan Nogenmyr AI4CE 31 1 0 11 May 2024
Generative flow induced neural architecture search: Towards discovering optimal architecture in wavelet neural operator Hartej Soin Tapas Tripura Souvik Chakraborty 24 3 0 11 May 2024
Gradient Flow Based Phase-Field Modeling Using Separable Neural Networks R. Mattey Susanta Ghosh AI4CE 43 1 0 09 May 2024
Multi-fidelity Hamiltonian Monte Carlo Dhruv V. Patel Jonghyun Lee Matthew W. Farthing P. Kitanidis Eric F. Darve 48 0 0 08 May 2024
High Energy Density Radiative Transfer in the Diffusion Regime with Fourier Neural Operators Joseph Farmer Ethan Smith William Bennett Ryan McClarren 19 1 0 07 May 2024
ILILT: Implicit Learning of Inverse Lithography Technologies Haoyu Yang Haoxing Ren 39 3 0 06 May 2024
Geometry-aware framework for deep energy method: an application to structural mechanics with hyperelastic materials Thi Nguyen Khoa Nguyen T. Dairay Raphael Meunier Christophe Millet Mathilde Mougeot AI4CE PINN 43 0 0 06 May 2024
Discretization Error of Fourier Neural Operators S. Lanthaler Andrew M. Stuart Margaret Trautner 45 5 0 03 May 2024
Towards General Neural Surrogate Solvers with Specialized Neural Accelerators Chenkai Mao Robert Lupoiu Tianxiang Dai Mingkun Chen Jonathan A. Fan AI4CE 41 5 0 02 May 2024
Physics-Informed Neural Networks: Minimizing Residual Loss with Wide Networks and Effective Activations Nima Hosseini Dashtbayaz G. Farhani Boyu Wang Charles Ling 28 1 0 02 May 2024
KAN: Kolmogorov-Arnold Networks Ziming Liu Yixuan Wang Sachin Vaidya Fabian Ruehle James Halverson Marin Soljacic Thomas Y. Hou Max Tegmark 98 475 0 30 Apr 2024
Solving Partial Differential Equations with Equivariant Extreme Learning Machines Hans Harder Jean Rabault Ricardo Vinuesa Mikael Mortensen Sebastian Peitz 46 3 0 29 Apr 2024
BiLO: Bilevel Local Operator Learning for PDE inverse problems Ray Zirui Zhang Xiaohui Xie John S. Lowengrub 68 1 0 27 Apr 2024
Using Neural Implicit Flow To Represent Latent Dynamics Of Canonical Systems Imran Nasim Joao Lucas de Sousa Almeida AI4CE 31 0 0 26 Apr 2024
Neural Operators Learn the Local Physics of Magnetohydrodynamics Taeyoung Kim Youngsoo Ha Myungjoo Kang AI4CE 32 0 0 24 Apr 2024
Neural Operator induced Gaussian Process framework for probabilistic solution of parametric partial differential equations Sawan Kumar R. Nayek Souvik Chakraborty 40 2 0 24 Apr 2024
MD-NOMAD: Mixture density nonlinear manifold decoder for emulating stochastic differential equations and uncertainty propagation Akshay Thakur Souvik Chakraborty 42 1 0 24 Apr 2024
A Hybrid Kernel-Free Boundary Integral Method with Operator Learning for Solving Parametric Partial Differential Equations In Complex Domains Shuo Ling Liwei Tan Wenjun Ying 25 0 0 23 Apr 2024
FMint: Bridging Human Designed and Data Pretrained Models for Differential Equation Foundation Model Zezheng Song Jiaxin Yuan Haizhao Yang AI4CE 40 17 0 23 Apr 2024
Learning S-Matrix Phases with Neural Operators V. Niarchos C. Papageorgakis 32 3 0 22 Apr 2024
Spectral Convolutional Conditional Neural Processes Peiman Mohseni Nick Duffield 40 3 0 19 Apr 2024
Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation Jingmin Sun Yuxuan Liu Zecheng Zhang Hayden Schaeffer AI4CE 30 16 0 18 Apr 2024
When are Foundation Models Effective? Understanding the Suitability for Pixel-Level Classification Using Multispectral Imagery Yiqun Xie Zhihao Wang Weiye Chen Zhili Li Xiaowei Jia Yanhua Li Ruichen Wang Kangyang Chai Ruohan Li Sergii Skakun VLM 24 3 0 17 Apr 2024
End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver Shaocong Ma James Diffenderfer B. Kailkhura Yi Zhou AI4CE 46 0 0 17 Apr 2024
Learning epidemic trajectories through Kernel Operator Learning: from modelling to optimal control Giovanni Ziarelli N. Parolini M. Verani 27 2 0 17 Apr 2024
Geometric Neural Operators (GNPs) for Data-Driven Deep Learning of Non-Euclidean Operators Blaine Quackenbush P. Atzberger AI4CE 33 0 0 16 Apr 2024
TENG: Time-Evolving Natural Gradient for Solving PDEs With Deep Neural Nets Toward Machine Precision Zhuo Chen Jacob McCarran Esteban Vizcaino Marin Soljacic Di Luo AI4CE 21 3 0 16 Apr 2024
Multiple-Input Fourier Neural Operator (MIFNO) for source-dependent 3D elastodynamics Fanny Lehmann F. Gatti Didier Clouteau AI4CE 35 4 0 15 Apr 2024
ClimODE: Climate and Weather Forecasting with Physics-informed Neural ODEs Yogesh Verma Markus Heinonen Vikas K. Garg AI4CE 33 26 0 15 Apr 2024
Mixture of Experts Soften the Curse of Dimensionality in Operator Learning Anastasis Kratsios Takashi Furuya Jose Antonio Lara Benitez Matti Lassas Maarten V. de Hoop 50 13 0 13 Apr 2024
Toward a Better Understanding of Fourier Neural Operators: Analysis and Improvement from a Spectral Perspective Shaoxiang Qin Fuyuan Lyu Wenhui Peng Dingyang Geng Ju Wang Naiping Gao Xue Liu Lei Wang AI4CE 37 0 0 10 Apr 2024
Solving Parametric PDEs with Radial Basis Functions and Deep Neural Networks Guanhang Lei Zhen Lei Lei Shi Chenyu Zeng 19 0 0 10 Apr 2024
Space-Time Video Super-resolution with Neural Operator Yuantong Zhang Hanyou Zheng Daiqin Yang Zhenzhong Chen Haichuan Ma Wenpeng Ding SupR 32 0 0 09 Apr 2024
Streamlining Ocean Dynamics Modeling with Fourier Neural Operators: A Multiobjective Hyperparameter and Architecture Optimization Approach Yixuan Sun O. Sowunmi Romain Egele S. Narayanan Luke Van Roekel Prasanna Balaprakash 30 1 0 07 Apr 2024
Dynamic Conditional Optimal Transport through Simulation-Free Flows Gavin Kerrigan Giosue Migliorini Padhraic Smyth OT 38 10 0 05 Apr 2024
Learning smooth functions in high dimensions: from sparse polynomials to deep neural networks Ben Adcock Simone Brugiapaglia N. Dexter S. Moraga 42 4 0 04 Apr 2024
Composite Bayesian Optimization In Function Spaces Using NEON -- Neural Epistemic Operator Networks Leonardo Ferreira Guilhoto P. Perdikaris BDL 46 2 0 03 Apr 2024
Universal Functional Regression with Neural Operator Flows Yaozhong Shi Angela F. Gao Zachary E. Ross Kamyar Azizzadenesheli 37 3 0 03 Apr 2024