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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"

50 / 1,350 papers shown

Title
How important are specialized transforms in Neural Operators? Ritam Majumdar Shirish S. Karande Lovekesh Vig AI4CE 26 3 0 18 Aug 2023
HyperLoRA for PDEs Ritam Majumdar Vishal Sudam Jadhav A. Deodhar Shirish S. Karande Lovekesh Vig Venkataramana Runkana PINN AI4CE 34 1 0 18 Aug 2023
A hybrid Decoder-DeepONet operator regression framework for unaligned observation data Bo Chen Chenyu Wang Weipeng Li Haiyang Fu 78 9 0 18 Aug 2023
Multi-fidelity Fourier Neural Operator for Fast Modeling of Large-Scale Geological Carbon Storage Hewei Tang Qingkai Kong Joseph P. Morris AI4CE 63 12 0 17 Aug 2023
Tipping Point Forecasting in Non-Stationary Dynamics on Function Spaces Miguel Liu-Schiaffini C. Singer Nikola B. Kovachki T. Schneider Kamyar Azizzadenesheli Anima Anandkumar 75 5 0 17 Aug 2023
Fourier neural operator for learning solutions to macroscopic traffic flow models: Application to the forward and inverse problems Bilal Thonnam Thodi Sai Venkata Ramana Ambadipudi Saif Eddin Jabari AI4CE 92 13 0 14 Aug 2023
Efficient Neural PDE-Solvers using Quantization Aware Training W.V.S.O. van den Dool Tijmen Blankevoort Max Welling Yuki M. Asano MQ 60 3 0 14 Aug 2023
Size Lowerbounds for Deep Operator Networks Anirbit Mukherjee Amartya Roy AI4CE 70 3 0 11 Aug 2023
GaborPINN: Efficient physics informed neural networks using multiplicative filtered networks Xinquan Huang T. Alkhalifah 74 14 0 10 Aug 2023
PDE-Refiner: Achieving Accurate Long Rollouts with Neural PDE Solvers Phillip Lippe Bastiaan S. Veeling P. Perdikaris Richard Turner Johannes Brandstetter DiffM AI4CE 134 96 0 10 Aug 2023
Fine-Tune Language Models as Multi-Modal Differential Equation Solvers Liu Yang Siting Liu Stanley J. Osher 39 0 0 09 Aug 2023
Sound propagation in realistic interactive 3D scenes with parameterized sources using deep neural operators N. Borrel-Jensen S. Goswami A. Engsig-Karup George Karniadakis C. Jeong AI4CE 70 20 0 09 Aug 2023
Fourier neural operator for real-time simulation of 3D dynamic urban microclimate W. Peng Shaoxiang Qin Senwen Yang Jianchun Wang Xue Liu Lei Wang AI4CE 82 33 0 08 Aug 2023
Collaborative Acceleration for FFT on Commercial Processing-In-Memory Architectures M. Ibrahim Shaizeen Aga 23 2 0 08 Aug 2023
A Critical Review of Physics-Informed Machine Learning Applications in Subsurface Energy Systems Abdeldjalil Latrach M. L. Malki Misael Morales Mohamed Mehana M. Rabiei PINN AI4CE 70 36 0 06 Aug 2023
Fast and Accurate Reduced-Order Modeling of a MOOSE-based Additive Manufacturing Model with Operator Learning M. Yaseen D. Yushu P. German Xuechun Wu AI4CE 30 5 0 04 Aug 2023
Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks Viktor Grimm Alexander Heinlein A. Klawonn AI4CE 64 4 0 04 Aug 2023
Branched Latent Neural Maps M. Salvador Alison Lesley Marsden 90 4 0 04 Aug 2023
Neural Poisson Surface Reconstruction: Resolution-Agnostic Shape Reconstruction from Point Clouds Héctor Andrade-Loarca Aras Bacho J. Hege Gitta Kutyniok 100 2 0 03 Aug 2023
A Novel Convolutional Neural Network Architecture with a Continuous Symmetry Y. Liu Han-Juan Shao Bing Bai AI4CE 90 3 0 03 Aug 2023
Rapid Flood Inundation Forecast Using Fourier Neural Operator Alexander Y. Sun Zhi Li Won-Bo Lee Qixing Huang B. Scanlon Clint Dawson AI4CE 34 13 0 29 Jul 2023
Guaranteed Approximation Bounds for Mixed-Precision Neural Operators Renbo Tu Colin White Jean Kossaifi Boris Bonev Nikola B. Kovachki Gennady Pekhimenko Kamyar Azizzadenesheli Anima Anandkumar 85 11 0 27 Jul 2023
BubbleML: A Multi-Physics Dataset and Benchmarks for Machine Learning Sheikh Md Shakeel Hassan Arthur Feeney A. Dhruv Jih-Woon Kim Youngjoon Suh Jaiyoung Ryu Y. Won Aparna Chandramowlishwaran AI4CE 77 11 0 27 Jul 2023
Learning to simulate partially known spatio-temporal dynamics with trainable difference operators Xiang Huang Zhuoyuan Li Hongsheng Liu Zidong Wang Hongye Zhou Bin Dong Bei Hua AI4TS AI4CE 61 1 0 26 Jul 2023
Adaptive Frequency Filters As Efficient Global Token Mixers Zhipeng Huang Zhizheng Zhang Cuiling Lan Zhengjun Zha Yan Lu B. Guo 78 45 0 26 Jul 2023
Towards Long-Term predictions of Turbulence using Neural Operators Fernando González Franccois-Xavier Demoulin Simon Bernard AI4CE 62 0 0 25 Jul 2023
Tackling the Curse of Dimensionality with Physics-Informed Neural Networks Zheyuan Hu K. Shukla George Karniadakis Kenji Kawaguchi PINN AI4CE 180 104 0 23 Jul 2023
PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural Networks Leo Zhao Xueying Ding B. Prakash PINN AI4CE 95 35 0 21 Jul 2023
Investigating Low Data, Confidence Aware Image Prediction on Smooth Repetitive Videos using Gaussian Processes Nikhil Shinde Xiao Liang Florian Richter Michael C. Yip 57 1 0 20 Jul 2023
Real-time Inference and Extrapolation via a Diffusion-inspired Temporal Transformer Operator (DiTTO) O. Ovadia Vivek Oommen Adar Kahana Ahmad Peyvan Eli Turkel George Karniadakis AI4CE 98 15 0 18 Jul 2023
Solving multiphysics-based inverse problems with learned surrogates and constraints Ziyi Yin Rafael Orozco M. Louboutin Felix J. Herrmann AI4CE 117 10 0 18 Jul 2023
Self-Supervised Learning with Lie Symmetries for Partial Differential Equations Grégoire Mialon Q. Garrido Hannah Lawrence Danyal Rehman Yann LeCun B. Kiani SSL 109 26 0 11 Jul 2023
Interpreting and generalizing deep learning in physics-based problems with functional linear models Amirhossein Arzani Lingxiao Yuan P. Newell Bei Wang AI4CE 80 8 0 10 Jul 2023
Learning Space-Time Continuous Neural PDEs from Partially Observed States V. Iakovlev Markus Heinonen Harri Lähdesmäki 68 1 0 09 Jul 2023
Understanding the Efficacy of U-Net & Vision Transformer for Groundwater Numerical Modelling M. L. Taccari O. Ovadia He Wang Adar Kahana Xiaohui Chen P. Jimack 73 2 0 08 Jul 2023
Differentiable Turbulence: Closure as a partial differential equation constrained optimization Varun Shankar Dibyajyoti Chakraborty V. Viswanathan R. Maulik AI4CE 58 1 0 07 Jul 2023
Capturing Local Temperature Evolution during Additive Manufacturing through Fourier Neural Operators Jiangce Chen Wenzhuo Xu Martha Baldwin Björn Nijhuis T. Boogaard Noelia Grande Gutiérrez S. Narra Christopher McComb AI4CE 48 3 0 04 Jul 2023
Comparison of Neural FEM and Neural Operator Methods for applications in Solid Mechanics Stefan Hildebrand Sandra Klinge AI4CE 63 2 0 04 Jul 2023
Learning Generic Solutions for Multiphase Transport in Porous Media via the Flux Functions Operator W. Diab Omar Chaabi Shayma Alkobaisi A. Awotunde M. A. Kobaisi AI4CE 59 4 0 03 Jul 2023
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation using Compact Implicit Layers Bar Lerer Ido Ben-Yair Eran Treister AI4CE 73 3 0 30 Jun 2023
Sampling weights of deep neural networks Erik Lien Bolager Iryna Burak Chinmay Datar Q. Sun Felix Dietrich BDL UQCV 86 18 0 29 Jun 2023
Hyena Neural Operator for Partial Differential Equations Saurabh Patil Zijie Li Amir Barati Farimani AI4CE 67 4 0 28 Jun 2023
Spatiotemporal Besov Priors for Bayesian Inverse Problems Shiwei Lan M. Pasha Shuyi Li Weining Shen 125 6 0 28 Jun 2023
Training Deep Surrogate Models with Large Scale Online Learning Lucas Meyer M. Schouler R. Caulk Alejandro Ribés Bruno Raffin 3DGS AI4CE 89 5 0 28 Jun 2023
Neural network analysis of neutron and X-ray reflectivity data: Incorporating prior knowledge for tackling the phase problem Valentin Munteanu V. Starostin Alessandro Greco L. Pithan A. Gerlach A. Hinderhofer S. Kowarik F. Schreiber 40 4 0 28 Jun 2023
Separable Physics-Informed Neural Networks Junwoo Cho Seungtae Nam Hyunmo Yang S. Yun Youngjoon Hong Eunbyung Park PINN AI4CE 88 47 0 28 Jun 2023
Capturing the Diffusive Behavior of the Multiscale Linear Transport Equations by Asymptotic-Preserving Convolutional DeepONets Keke Wu Xiongbin Yan Shi Jin Zheng Ma 71 6 0 28 Jun 2023
MyCrunchGPT: A chatGPT assisted framework for scientific machine learning Varun V. Kumar Leonard Gleyzer Adar Kahana K. Shukla George Karniadakis AI4CE 86 14 0 27 Jun 2023
TaylorPDENet: Learning PDEs from non-grid Data Paul Heinisch Andrzej Dulny Anna Krause Andreas Hotho OOD DiffM AI4CE 51 0 0 26 Jun 2023
SuperBench: A Super-Resolution Benchmark Dataset for Scientific Machine Learning Pu Ren N. Benjamin Erichson Shashank Subramanian Omer San Z. Lukić Michael W. Mahoney Michael W. Mahoney 107 15 0 24 Jun 2023