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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
Automatic Functional Differentiation in JAX Min Lin 29 3 0 30 Nov 2023
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Fourier Neural Differential Equations for learning Quantum Field Theories Isaac Brant Alexander Norcliffe Pietro Lio 59 0 0 28 Nov 2023
Personalized Predictions of Glioblastoma Infiltration: Mathematical Models, Physics-Informed Neural Networks and Multimodal Scans Ray Zirui Zhang Ivan Ezhov Michal Balcerak Andy Zhu Benedikt Wiestler Bjoern Menze John S. Lowengrub AI4CE 111 6 0 28 Nov 2023
Deciphering and integrating invariants for neural operator learning with various physical mechanisms Rui Zhang Qi Meng Zhi-Ming Ma AI4CE 110 9 0 24 Nov 2023
Can Physics Informed Neural Operators Self Improve? Ritam Majumdar Amey Varhade Shirish S. Karande Lovekesh Vig AI4CE 63 0 0 23 Nov 2023
Image-Based Soil Organic Carbon Remote Sensing from Satellite Images with Fourier Neural Operator and Structural Similarity Ken C. L. Wong Levente J. Klein Ademir Ferreira da Silva Hongzhi Wang Jitendra Singh Tanveer Syeda-Mahmood 29 0 0 21 Nov 2023
Neural-Integrated Meshfree (NIM) Method: A differentiable programming-based hybrid solver for computational mechanics Honghui Du QiZhi He AI4CE 125 5 0 21 Nov 2023
Inverse Problems with Learned Forward Operators Simon Arridge Andreas Hauptmann Yury Korolev 81 1 0 21 Nov 2023
Operator Learning for Continuous Spatial-Temporal Model with Gradient-Based and Derivative-Free Optimization Methods Chuanqi Chen Jin-Long Wu AI4CE 66 0 0 20 Nov 2023
Uncertainty quantification for noisy inputs-outputs in physics-informed neural networks and neural operators Zongren Zou Xuhui Meng George Karniadakis AI4CE 97 24 0 19 Nov 2023
Equivariant Neural Operator Learning with Graphon Convolution Chaoran Cheng Jian-wei Peng 42 5 0 17 Nov 2023
Neuroscience inspired scientific machine learning (Part-2): Variable spiking wavelet neural operator Shailesh Garg Souvik Chakraborty 61 0 0 15 Nov 2023
Stacked networks improve physics-informed training: applications to neural networks and deep operator networks Amanda A. Howard Sarah H. Murphy Shady E. Ahmed P. Stinis AI4CE 99 20 0 11 Nov 2023
Surrogate Neural Networks to Estimate Parametric Sensitivity of Ocean Models Yixuan Sun Elizabeth Cucuzzella Steven Brus S. Narayanan B. Nadiga Luke Van Roekel Jan Huckelheim Sandeep Madireddy 60 3 0 10 Nov 2023
Plasma Surrogate Modelling using Fourier Neural Operators Vignesh Gopakumar Stanislas Pamela L. Zanisi Zong-Yi Li Ander Gray ... Matt Kusner M. Deisenroth A. Anandkumar Jorek Team Mast Team AI4CE 112 22 0 10 Nov 2023
Multiscale Neural Operators for Solving Time-Independent PDEs Winfried Ripken Lisa Coiffard Felix Pieper Sebastian Dziadzio AI4CE 57 2 0 10 Nov 2023
A Hierarchical Spatial Transformer for Massive Point Samples in Continuous Space Wenchong He Zhe Jiang Tingsong Xiao Zelin Xu Shigang Chen Ronald Fick Miles Medina Christine Angelini 94 17 0 08 Nov 2023
Lie Point Symmetry and Physics Informed Networks Tara Akhound-Sadegh Laurence Perreault Levasseur Johannes Brandstetter Max Welling Siamak Ravanbakhsh PINN 63 14 0 07 Nov 2023
Generative learning for nonlinear dynamics William Gilpin AI4CE PINN 123 27 0 07 Nov 2023
Filtered Partial Differential Equations: a robust surrogate constraint in physics-informed deep learning framework Dashan Zhang Yuntian Chen Shiyi Chen AI4CE 78 2 0 07 Nov 2023
Machine Learning Parameterization of the Multi-scale Kain-Fritsch (MSKF) Convection Scheme Xiaohui Zhong Xing Yu Hao Li AI4Cl 47 1 0 07 Nov 2023
A Physics-Guided Bi-Fidelity Fourier-Featured Operator Learning Framework for Predicting Time Evolution of Drag and Lift Coefficients Amirhossein Mollaali Izzet Sahin Iqrar Raza Christian Moya Guillermo Paniagua Guang Lin 64 2 0 07 Nov 2023
Approximating Langevin Monte Carlo with ResNet-like Neural Network architectures Charles Miranda Janina Enrica Schutte David Sommer Martin Eigel 78 3 0 06 Nov 2023
Truly Scale-Equivariant Deep Nets with Fourier Layers Md Ashiqur Rahman Raymond A. Yeh 89 9 0 06 Nov 2023
An Operator Learning Framework for Spatiotemporal Super-resolution of Scientific Simulations Valentin Duruisseaux Amit Chakraborty AI4CE 76 1 0 04 Nov 2023
Multi-scale Time-stepping of Partial Differential Equations with Transformers AmirPouya Hemmasian A. Farimani AI4CE 102 13 0 03 Nov 2023
Decodable and Sample Invariant Continuous Object Encoder Dehao Yuan Furong Huang Cornelia Fermuller Yiannis Aloimonos 58 2 0 31 Oct 2023
Ensemble models outperform single model uncertainties and predictions for operator-learning of hypersonic flows Victor J. Leon Noah Ford Honest Mrema Jeffrey Gilbert Alexander New UQCV AI4CE 43 0 0 31 Oct 2023
Interpretable Neural PDE Solvers using Symbolic Frameworks Yolanne Yi Ran Lee AI4CE 76 0 0 31 Oct 2023
SURF: A Generalization Benchmark for GNNs Predicting Fluid Dynamics Stefan Künzli Florian Grötschla Joël Mathys Roger Wattenhofer AI4CE 108 0 0 30 Oct 2023
Modeling Dynamics over Meshes with Gauge Equivariant Nonlinear Message Passing Jung Yeon Park Lawson L. S. Wong Robin Walters AI4CE 72 0 0 30 Oct 2023
D2NO: Efficient Handling of Heterogeneous Input Function Spaces with Distributed Deep Neural Operators Zecheng Zhang Christian Moya Lu Lu Guang Lin Hayden Schaeffer 102 14 0 29 Oct 2023
A foundational neural operator that continuously learns without forgetting Tapas Tripura Souvik Chakraborty CLL 88 9 0 29 Oct 2023
Electrical Impedance Tomography: A Fair Comparative Study on Deep Learning and Analytic-based Approaches Derick Nganyu Tanyu Jianfeng Ning Andreas Hauptmann Bangti Jin Peter Maass 54 7 0 28 Oct 2023
Learning the dynamics of a one-dimensional plasma model with graph neural networks Diogo D Carvalho Diogo R Ferreira Luís O Silva AI4CE 101 1 0 26 Oct 2023
Stochastic Latent Transformer: Efficient Modelling of Stochastically Forced Zonal Jets Ira J. S. Shokar R. Kerswell Peter H. Haynes 78 5 0 25 Oct 2023
Learning Efficient Surrogate Dynamic Models with Graph Spline Networks Chuanbo Hua Federico Berto Michael Poli Stefano Massaroli Jinkyoo Park AI4TS AI4CE 59 5 0 25 Oct 2023
Neural Network with Local Converging Input (NNLCI) for Supersonic Flow Problems with Unstructured Grids Weiming Ding Haoxiang Huang T. Lee Yingjie Liu Vigor Yang 30 1 0 23 Oct 2023
Improved Operator Learning by Orthogonal Attention Zipeng Xiao Zhongkai Hao Bokai Lin Zhijie Deng Hang Su 124 21 0 19 Oct 2023
Fast Multipole Attention: A Divide-and-Conquer Attention Mechanism for Long Sequences Yanming Kang Giang Tran H. Sterck 100 5 0 18 Oct 2023
Uncovering wall-shear stress dynamics from neural-network enhanced fluid flow measurements Esther Lagemann Steven L. Brunton Christian Lagemann 49 5 0 17 Oct 2023
HelmFluid: Learning Helmholtz Dynamics for Interpretable Fluid Prediction Lanxiang Xing Haixu Wu Yuezhou Ma Jianmin Wang Mingsheng Long MDE AI4CE 57 4 0 16 Oct 2023
Learning nonlinear integral operators via Recurrent Neural Networks and its application in solving Integro-Differential Equations Hardeep Bassi Yuanran Zhu Senwei Liang Jia Yin Cian C. Reeves Vojtěch Vlček Chao Yang 70 10 0 13 Oct 2023
Neural Harmonium: An Interpretable Deep Structure for Nonlinear Dynamic System Identification with Application to Audio Processing Karim Helwani Erfan Soltanmohammadi Michael M. Goodwin 55 0 0 10 Oct 2023
Learning to Predict Structural Vibrations J. V. Delden Julius Schultz Christopher Blech Sabine C. Langer Timo Luddecke AI4CE 65 2 0 09 Oct 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology Qingsong Xu Yilei Shi Jonathan Bamber Ye Tuo Ralf Ludwig Xiao Xiang Zhu AI4CE 141 10 0 08 Oct 2023
Waveformer for modelling dynamical systems N. Navaneeth Souvik Chakraborty 41 2 0 08 Oct 2023
Randomized Sparse Neural Galerkin Schemes for Solving Evolution Equations with Deep Networks Jules Berman Benjamin Peherstorfer 59 15 0 07 Oct 2023
FNOSeg3D: Resolution-Robust 3D Image Segmentation with Fourier Neural Operator Ken C. L. Wong Hongzhi Wang Tanveer Syeda-Mahmood 59 1 0 05 Oct 2023