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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
GNN-based physics solver for time-independent PDEs R. J. Gladstone H. Rahmani V. Suryakumar Hadi Meidani M. DÉlia A. Zareei AI4CE 46 14 0 28 Mar 2023
Boundary-to-Solution Mapping for Groundwater Flows in a Toth Basin Jin-Jin Sun Jun Li Y. Hao Cuiting Qi Chunmei Ma Huazhi Sun N. Begashaw Gurcan Comet Yi-mei Sun Qi Wang 48 2 0 28 Mar 2023
Challenges and opportunities for machine learning in multiscale computational modeling Phong C. H. Nguyen Joseph B. Choi H. Udaykumar Stephen Seung-Yeob Baek AI4CE 49 10 0 22 Mar 2023
DS-TDNN: Dual-stream Time-delay Neural Network with Global-aware Filter for Speaker Verification Yangfu Li Jiapan Gan Xiaodan Lin 49 6 0 20 Mar 2023
LNO: Laplace Neural Operator for Solving Differential Equations Qianying Cao S. Goswami George Karniadakis 89 50 0 19 Mar 2023
Neural Operators of Backstepping Controller and Observer Gain Functions for Reaction-Diffusion PDEs Miroslav Krstic Luke Bhan Yuanyuan Shi 96 31 0 18 Mar 2023
A Multifidelity deep operator network approach to closure for multiscale systems Shady E. Ahmed P. Stinis AI4CE 76 13 0 15 Mar 2023
ViTO: Vision Transformer-Operator O. Ovadia Adar Kahana P. Stinis Eli Turkel George Karniadakis 39 22 0 15 Mar 2023
On the uncertainty analysis of the data-enabled physics-informed neural network for solving neutron diffusion eigenvalue problem Yu Yang Helin Gong Qihong Yang Yangtao Deng Qiaolin He Shiquan Zhang DiffM 87 12 0 15 Mar 2023
Recent Advances and Applications of Machine Learning in Experimental Solid Mechanics: A Review Hanxun Jin Enrui Zhang H. Espinosa AI4CE 126 77 0 14 Mar 2023
NeurEPDiff: Neural Operators to Predict Geodesics in Deformation Spaces Nian Wu Miaomiao Zhang 51 10 0 13 Mar 2023
Fourier-MIONet: Fourier-enhanced multiple-input neural operators for multiphase modeling of geological carbon sequestration Zhongyi Jiang Min Zhu Dongzhuo Li Qiuzi Li Yanhua O. Yuan Lu Lu AI4CE 81 56 0 08 Mar 2023
Multilevel Diffusion: Infinite Dimensional Score-Based Diffusion Models for Image Generation Paul Hagemann Sophie Mildenberger Lars Ruthotto Gabriele Steidl Ni Yang DiffM 109 25 0 08 Mar 2023
Physics-constrained neural differential equations for learning multi-ionic transport Danyal Rehman J. Lienhard AI4CE 51 6 0 07 Mar 2023
Parallel Hybrid Networks: an interplay between quantum and classical neural networks Mohammad Kordzanganeh Daria Kosichkina A. Melnikov GNN 89 24 0 06 Mar 2023
Super-Resolution Neural Operator Min Wei Xuesong Zhang SupR 107 44 0 05 Mar 2023
Coupled Multiwavelet Neural Operator Learning for Coupled Partial Differential Equations Xiongye Xiao De-An Cao Ruochen Yang Gaurav Gupta Gengshuo Liu Chenzhong Yin R. Balan P. Bogdan 150 9 0 04 Mar 2023
Neural Operator Learning for Long-Time Integration in Dynamical Systems with Recurrent Neural Networks K. Michałowska S. Goswami George Karniadakis S. Riemer-Sørensen AI4CE 88 19 0 03 Mar 2023
Bayesian Posterior Perturbation Analysis with Integral Probability Metrics A. Garbuno-Iñigo T. Helin Franca Hoffmann Bamdad Hosseini 123 10 0 02 Mar 2023
Continuous-Time Functional Diffusion Processes Giulio Franzese Dario Rossi Simone Rossi Markus Heinonen Maurizio Filippone Pietro Michiardi 114 27 0 01 Mar 2023
GNOT: A General Neural Operator Transformer for Operator Learning Zhongkai Hao Zhengyi Wang Hang Su Chengyang Ying Yinpeng Dong Songming Liu Ze Cheng Jian Song Jun Zhu AI4CE 97 195 0 28 Feb 2023
A Survey on Uncertainty Quantification Methods for Deep Learning Wenchong He Zhe Jiang Tingsong Xiao Zelin Xu Yukun Li BDL UQCV AI4CE 193 24 0 26 Feb 2023
Efficient physics-informed neural networks using hash encoding Xinquan Huang T. Alkhalifah 62 32 0 26 Feb 2023
Achieving High Accuracy with PINNs via Energy Natural Gradients Johannes Müller Marius Zeinhofer 78 5 0 25 Feb 2023
Elliptic PDE learning is provably data-efficient N. Boullé Diana Halikias Alex Townsend 79 21 0 24 Feb 2023
Learning Physical Models that Can Respect Conservation Laws Derek Hansen Danielle C. Maddix S. Alizadeh Gaurav Gupta Michael W. Mahoney AI4CE 121 50 0 21 Feb 2023
Hyena Hierarchy: Towards Larger Convolutional Language Models Michael Poli Stefano Massaroli Eric Q. Nguyen Daniel Y. Fu Tri Dao S. Baccus Yoshua Bengio Stefano Ermon Christopher Ré VLM 174 314 0 21 Feb 2023
Variational Autoencoding Neural Operators Jacob H. Seidman Georgios Kissas George J. Pappas P. Perdikaris DRL AI4CE 88 11 0 20 Feb 2023
NeuralStagger: Accelerating Physics-constrained Neural PDE Solver with Spatial-temporal Decomposition Xinquan Huang Wenlei Shi Qi Meng Yue Wang Xiaotian Gao Jia Zhang Tie-Yan Liu AI4CE 68 10 0 20 Feb 2023
RecFNO: a resolution-invariant flow and heat field reconstruction method from sparse observations via Fourier neural operator Xiaoyu Zhao Xiaoqian Chen Zhiqiang Gong Weien Zhou Wen Yao Yunyang Zhang AI4CE 68 24 0 20 Feb 2023
Infinite-Dimensional Diffusion Models Jakiw Pidstrigach Youssef Marzouk Sebastian Reich Sven Wang 132 13 0 20 Feb 2023
G-Signatures: Global Graph Propagation With Randomized Signatures Bernhard Schafl Lukas Gruber Johannes Brandstetter Sepp Hochreiter 150 2 0 17 Feb 2023
Efficiency 360: Efficient Vision Transformers Badri N. Patro Vijay Srinivas Agneeswaran 155 6 0 16 Feb 2023
A Neural PDE Solver with Temporal Stencil Modeling Zhiqing Sun Yiming Yang Shinjae Yoo DiffM AI4CE 98 17 0 16 Feb 2023
Score-based Diffusion Models in Function Space Jae Hyun Lim Nikola B. Kovachki Ricardo Baptista Christopher Beckham Kamyar Azizzadenesheli ... Karsten Kreis Jan Kautz Christopher Pal Arash Vahdat Anima Anandkumar DiffM 193 50 0 14 Feb 2023
Magnetohydrodynamics with Physics Informed Neural Operators S. Rosofsky Eliu A. Huerta AI4CE 41 13 0 13 Feb 2023
Geometric Clifford Algebra Networks David Ruhe Jayesh K. Gupta Steven De Keninck Max Welling Johannes Brandstetter AI4CE 139 37 0 13 Feb 2023
Transient Hemodynamics Prediction Using an Efficient Octree-Based Deep Learning Model Noah Maul Katharina Zinn Fabian Wagner Mareike Thies M. Rohleder Laura Pfaff M. Kowarschik A. Birkhold Andreas Maier 45 9 0 13 Feb 2023
Fourier-RNNs for Modelling Noisy Physics Data Vignesh Gopakumar Stanislas Pamela L. Zanisi AI4TS 64 2 0 13 Feb 2023
Physics informed WNO N. N. Tapas Tripura S. Chakraborty 75 32 0 12 Feb 2023
Cross-Modal Fine-Tuning: Align then Refine Junhong Shen Liam Li Lucio Dery Corey Staten M. Khodak Graham Neubig Ameet Talwalkar 80 41 0 11 Feb 2023
Entropy-dissipation Informed Neural Network for McKean-Vlasov Type PDEs Zebang Shen Zhenfu Wang 104 5 0 11 Feb 2023
DNArch: Learning Convolutional Neural Architectures by Backpropagation David W. Romero Neil Zeghidour AI4CE 59 4 0 10 Feb 2023
Numerical Methods For PDEs Over Manifolds Using Spectral Physics Informed Neural Networks Yuval Zelig S. Dekel 49 1 0 10 Feb 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 227 6 0 10 Feb 2023
Mixed formulation of physics-informed neural networks for thermo-mechanically coupled systems and heterogeneous domains Ali Harandi Ahmad Moeineddin Michael Kaliske Stefanie Reese Shahed Rezaei AI4CE PINN 78 43 0 09 Feb 2023
Can Physics-Informed Neural Networks beat the Finite Element Method? T. G. Grossmann Urszula Julia Komorowska J. Latz Carola-Bibiane Schönlieb PINN AI4CE 106 93 0 08 Feb 2023
AISYN: AI-driven Reinforcement Learning-Based Logic Synthesis Framework Ghasem Pasandi Sreedhar Pratty James Forsyth 37 6 0 08 Feb 2023
Analyzing the Performance of Deep Encoder-Decoder Networks as Surrogates for a Diffusion Equation J. Q. Toledo-Marín J. Glazier Geoffrey C. Fox 88 4 0 07 Feb 2023
Multi-Scale Message Passing Neural PDE Solvers Léonard Equer T. Konstantin Rusch Siddhartha Mishra AI4CE 87 13 0 07 Feb 2023