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Non-equispaced Fourier Neural Solvers for PDEs

9 December 2022

Lirong Wu

Siyuan Li

Papers citing "Non-equispaced Fourier Neural Solvers for PDEs"

39 / 39 papers shown

Title
Generating synthetic data for neural operators Erisa Hasani Rachel A. Ward AI4CE 128 8 0 04 Jan 2024
STONet: A Neural-Operator-Driven Spatio-temporal Network Haitao Lin Guojiang Zhao Lirong Wu Stan Z. Li AI4TS AI4CE 61 1 0 18 Apr 2022
How Do Vision Transformers Work? Namuk Park Songkuk Kim ViT 83 481 0 14 Feb 2022
Message Passing Neural PDE Solvers Johannes Brandstetter Daniel E. Worrall Max Welling AI4CE 88 287 0 07 Feb 2022
Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers John Guibas Morteza Mardani Zong-Yi Li Andrew Tao Anima Anandkumar Bryan Catanzaro 84 243 0 24 Nov 2021
Neural Operator: Learning Maps Between Function Spaces Nikola B. Kovachki Zong-Yi Li Burigede Liu Kamyar Azizzadenesheli K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 117 453 0 19 Aug 2021
Global Filter Networks for Image Classification Yongming Rao Wenliang Zhao Zheng Zhu Jiwen Lu Jie Zhou ViT 66 470 0 01 Jul 2021
Transformers are Deep Infinite-Dimensional Non-Mercer Binary Kernel Machines Matthew A. Wright Joseph E. Gonzalez 67 23 0 02 Jun 2021
Intriguing Properties of Vision Transformers Muzammal Naseer Kanchana Ranasinghe Salman Khan Munawar Hayat Fahad Shahbaz Khan Ming-Hsuan Yang ViT 324 651 0 21 May 2021
Towards Robust Vision Transformer Xiaofeng Mao Gege Qi YueFeng Chen Xiaodan Li Ranjie Duan Shaokai Ye Yuan He Hui Xue ViT 64 194 0 17 May 2021
Are Convolutional Neural Networks or Transformers more like human vision? Shikhar Tuli Ishita Dasgupta Erin Grant Thomas Griffiths ViT FaML 56 185 0 15 May 2021
MLP-Mixer: An all-MLP Architecture for Vision Ilya O. Tolstikhin N. Houlsby Alexander Kolesnikov Lucas Beyer Xiaohua Zhai ... Andreas Steiner Daniel Keysers Jakob Uszkoreit Mario Lucic Alexey Dosovitskiy 423 2,682 0 04 May 2021
Twins: Revisiting the Design of Spatial Attention in Vision Transformers Xiangxiang Chu Zhi Tian Yuqing Wang Bo Zhang Haibing Ren Xiaolin K. Wei Huaxia Xia Chunhua Shen ViT 82 1,026 0 28 Apr 2021
Swin Transformer: Hierarchical Vision Transformer using Shifted Windows Ze Liu Yutong Lin Yue Cao Han Hu Yixuan Wei Zheng Zhang Stephen Lin B. Guo ViT 455 21,439 0 25 Mar 2021
Attention is Not All You Need: Pure Attention Loses Rank Doubly Exponentially with Depth Yihe Dong Jean-Baptiste Cordonnier Andreas Loukas 132 386 0 05 Mar 2021
Conditional Local Convolution for Spatio-temporal Meteorological Forecasting Haitao Lin Zhangyang Gao Yongjie Xu Lirong Wu Ling Li Stan. Z. Li AI4TS 189 77 0 04 Jan 2021
An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale Alexey Dosovitskiy Lucas Beyer Alexander Kolesnikov Dirk Weissenborn Xiaohua Zhai ... Matthias Minderer G. Heigold Sylvain Gelly Jakob Uszkoreit N. Houlsby ViT 664 41,369 0 22 Oct 2020
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 500 2,444 0 18 Oct 2020
Adaptive Graph Convolutional Recurrent Network for Traffic Forecasting Lei Bai Lina Yao Can Li Xianzhi Wang Can Wang GNN AI4TS 86 1,188 0 06 Jul 2020
Multipole Graph Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 216 392 0 16 Jun 2020
Learning continuous-time PDEs from sparse data with graph neural networks V. Iakovlev Markus Heinonen Harri Lähdesmäki AI4CE 81 70 0 16 Jun 2020
The Random Feature Model for Input-Output Maps between Banach Spaces Nicholas H. Nelsen Andrew M. Stuart 76 144 0 20 May 2020
Model Reduction and Neural Networks for Parametric PDEs K. Bhattacharya Bamdad Hosseini Nikola B. Kovachki Andrew M. Stuart 217 332 0 07 May 2020
EikoNet: Solving the Eikonal equation with Deep Neural Networks Jonathan D. Smith Kamyar Azizzadenesheli Zachary E. Ross 42 132 0 25 Mar 2020
Neural Operator: Graph Kernel Network for Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar 199 748 0 07 Mar 2020
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 248 2,150 0 08 Oct 2019
Latent ODEs for Irregularly-Sampled Time Series Yulia Rubanova Ricky T. Q. Chen David Duvenaud BDL AI4TS 84 259 0 08 Jul 2019
Physics-Informed Probabilistic Learning of Linear Embeddings of Non-linear Dynamics With Guaranteed Stability Shaowu Pan Karthik Duraisamy 68 138 0 09 Jun 2019
ODE $^2$ VAE: Deep generative second order ODEs with Bayesian neural networks Çağatay Yıldız Markus Heinonen Harri Lähdesmäki BDL DRL 68 88 0 27 May 2019
Unsupervised Deep Learning Algorithm for PDE-based Forward and Inverse Problems Leah Bar N. Sochen 28 71 0 10 Apr 2019
Convolutional Self-Attention Networks Baosong Yang Longyue Wang Derek F. Wong Lidia S. Chao Zhaopeng Tu 53 126 0 05 Apr 2019
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 417 5,111 0 19 Jun 2018
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems E. Weinan Ting Yu 121 1,387 0 30 Sep 2017
DGM: A deep learning algorithm for solving partial differential equations Justin A. Sirignano K. Spiliopoulos AI4CE 91 2,063 0 24 Aug 2017
Neural Message Passing for Quantum Chemistry Justin Gilmer S. Schoenholz Patrick F. Riley Oriol Vinyals George E. Dahl 593 7,485 0 04 Apr 2017
Structured Sequence Modeling with Graph Convolutional Recurrent Networks Youngjoo Seo M. Defferrard P. Vandergheynst Xavier Bresson GNN 148 775 0 22 Dec 2016
Layer Normalization Jimmy Lei Ba J. Kiros Geoffrey E. Hinton 413 10,494 0 21 Jul 2016
Convolutional Neural Networks on Graphs with Fast Localized Spectral Filtering M. Defferrard Xavier Bresson P. Vandergheynst GNN 353 7,669 0 30 Jun 2016
Diffusion-Convolutional Neural Networks James Atwood Don Towsley GNN DiffM 197 1,256 0 06 Nov 2015