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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
Unsupervised Solution Operator Learning for Mean-Field Games via Sampling-Invariant Parametrizations Han Huang Rongjie Lai 85 3 0 27 Jan 2024
Ricci flow-guided autoencoders in learning time-dependent dynamics Andrew Gracyk AI4CE 193 2 0 26 Jan 2024
Compositional Generative Inverse Design Tailin Wu Takashi Maruyama Long Wei Tao Zhang Yilun Du Gianluca Iaccarino J. Leskovec DiffM AI4CE 94 7 0 24 Jan 2024
Continuous Field Reconstruction from Sparse Observations with Implicit Neural Networks Xihaier Luo Wei Xu Yihui Ren Shinjae Yoo B. Nadiga 85 12 0 21 Jan 2024
HOSC: A Periodic Activation Function for Preserving Sharp Features in Implicit Neural Representations Danzel Serrano Jakub Szymkowiak Przemyslaw Musialski 40 5 0 20 Jan 2024
Equivariant Graph Neural Operator for Modeling 3D Dynamics Minkai Xu Jiaqi Han Aaron Lou Jean Kossaifi Arvind Ramanathan Kamyar Azizzadenesheli J. Leskovec Stefano Ermon A. Anandkumar AI4CE 135 23 0 19 Jan 2024
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning Hao Liu Biraj Dahal Rongjie Lai Wenjing Liao AI4CE 58 5 0 19 Jan 2024
Approximation of Solution Operators for High-dimensional PDEs Nathan Gaby Xiaojing Ye 78 0 0 18 Jan 2024
BENO: Boundary-embedded Neural Operators for Elliptic PDEs Haixin Wang Jiaxin Li Anubhav Dwivedi Kentaro Hara Tailin Wu 96 9 0 17 Jan 2024
Accelerating Data Generation for Neural Operators via Krylov Subspace Recycling Hong Wang Zhongkai Hao Jie Wang Zijie Geng Zhen Wang Bin Li Fengli Wu 55 3 0 17 Jan 2024
Space and Time Continuous Physics Simulation From Partial Observations Steeven Janny Madiha Nadri Wolf Julie Digne Christian Wolf AI4CE 115 6 0 17 Jan 2024
RiemannONets: Interpretable Neural Operators for Riemann Problems Ahmad Peyvan Vivek Oommen Ameya Dilip Jagtap George Karniadakis AI4CE 102 26 0 16 Jan 2024
PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws Liu Yang Stanley J. Osher AI4CE 109 21 0 14 Jan 2024
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses S. Jafarzadeh Stewart Silling Ning Liu Zhongqiang Zhang Yue Yu AI4CE 109 23 0 11 Jan 2024
A novel framework for generalization of deep hidden physics models Vijay Kag Birupaksha Pal AI4CE 42 0 0 09 Jan 2024
Generative adversarial wavelet neural operator: Application to fault detection and isolation of multivariate time series data Jyoti Rani Tapas Tripura H. Kodamana Souvik Chakraborty 72 5 0 08 Jan 2024
Inverse Nonlinearity Compensation of Hyperelastic Deformation in Dielectric Elastomer for Acoustic Actuation J. Lee G. An Jeong-Yun Sun Kyogu Lee 25 0 0 08 Jan 2024
Nonlinear functional regression by functional deep neural network with kernel embedding Zhongjie Shi Jun Fan Linhao Song Ding-Xuan Zhou Johan A. K. Suykens 504 5 0 05 Jan 2024
Integration of physics-informed operator learning and finite element method for parametric learning of partial differential equations Shahed Rezaei Ahmad Moeineddin Michael Kaliske Markus Apel AI4CE 107 5 0 04 Jan 2024
A quatum inspired neural network for geometric modeling Weitao Du Shengchao Liu Xuecang Zhang AI4CE 81 0 0 03 Jan 2024
Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws Taeyoung Kim Myungjoo Kang AI4CE 153 3 0 03 Jan 2024
Pontryagin Neural Operator for Solving Parametric General-Sum Differential Games Lei Zhang Mukesh Ghimire Zhenni Xu Wenlong Zhang Yi Ren 68 3 0 03 Jan 2024
DiffHybrid-UQ: Uncertainty Quantification for Differentiable Hybrid Neural Modeling Deepak Akhare Tengfei Luo Jian-Xun Wang 76 6 0 30 Dec 2023
Learning About Structural Errors in Models of Complex Dynamical Systems Jin-Long Wu Matthew E. Levine Tapio Schneider Andrew M. Stuart AI4CE 84 18 0 29 Dec 2023
Operator learning for hyperbolic partial differential equations Christopher Wang Alex Townsend 88 3 0 29 Dec 2023
PINN surrogate of Li-ion battery models for parameter inference. Part I: Implementation and multi-fidelity hierarchies for the single-particle model M. Hassanaly Peter J. Weddle Ryan N. King Subhayan De Alireza Doostan Corey R. Randall Eric J. Dufek Andrew M. Colclasure Kandler Smith 52 9 0 28 Dec 2023
$Backstepping Neural Operators for $2\times 2$ Hyperbolic PDEs$ Backstepping Neural Operators for $2\times 2$ Hyperbolic PDEs Shanshan Wang M. Diagne Miroslav Krstić 112 4 0 28 Dec 2023
HyperDeepONet: learning operator with complex target function space using the limited resources via hypernetwork Jae Yong Lee S. Cho H. Hwang 84 24 0 26 Dec 2023
Report of the DOE/NSF Workshop on Correctness in Scientific Computing, June 2023, Orlando, FL Maya Gokhale Ganesh Gopalakrishnan Jackson Mayo Santosh Nagarakatte Cindy Rubio-González Stephen F. Siegel 68 4 0 25 Dec 2023
Neural Born Series Operator for Biomedical Ultrasound Computed Tomography Zhijun Zeng Yihang Zheng Youjia Zheng Yubing Li Zuoqiang Shi He Sun 81 2 0 25 Dec 2023
A Mathematical Guide to Operator Learning Nicolas Boullé Alex Townsend 96 47 0 22 Dec 2023
Improving the Expressive Power of Deep Neural Networks through Integral Activation Transform Zezhong Zhang Feng Bao Guannan Zhang 58 0 0 19 Dec 2023
DSAF: A Dual-Stage Adaptive Framework for Numerical Weather Prediction Downscaling Pengwei Liu Wen-wu Wang Bingqing Peng Binqing Wu Liang Sun AI4Cl 29 0 0 19 Dec 2023
Continual Learning: Forget-free Winning Subnetworks for Video Representations Haeyong Kang Jaehong Yoon Sung Ju Hwang Chang D. Yoo CLL 135 2 0 19 Dec 2023
Learning Flexible Body Collision Dynamics with Hierarchical Contact Mesh Transformer Youn-Yeol Yu Jeongwhan Choi Woojin Cho Kookjin Lee Nayong Kim ... Ilho Kim Seok-Woo Lee Joon Young Yang S. Yoon Noseong Park AI4CE 125 9 0 19 Dec 2023
Harnessing the Power of Neural Operators with Automatically Encoded Conservation Laws Ning Liu Yiming Fan Xianyi Zeng Milan Klöwer Lu Zhang Yue Yu AI4CE 72 10 0 18 Dec 2023
Inducing Point Operator Transformer: A Flexible and Scalable Architecture for Solving PDEs Seungjun Lee Taeil Oh 82 7 0 18 Dec 2023
Neural Operators for Boundary Stabilization of Stop-and-go Traffic Yihuai Zhang Ruiguo Zhong Huan Yu 87 8 0 16 Dec 2023
Operator-learning-inspired Modeling of Neural Ordinary Differential Equations Woojin Cho Seunghyeon Cho Hyundong Jin Jinsung Jeon Kookjin Lee Sanghyun Hong Dongeun Lee Jonghyun Choi Noseong Park AI4TS AI4CE 52 3 0 16 Dec 2023
On the locality of local neural operator in learning fluid dynamics Ximeng Ye Hongyu Li Jingjie Huang Guoliang Qin AI4CE 77 10 0 15 Dec 2023
Better Neural PDE Solvers Through Data-Free Mesh Movers Tailin Wu Yue Wang Zhi-Ming Ma AI4CE 76 4 0 09 Dec 2023
Rethinking materials simulations: Blending direct numerical simulations with neural operators Vivek Oommen K. Shukla Saaketh Desai Rémi Dingreville George Karniadakis AI4CE 93 22 0 08 Dec 2023
Neural Spectral Methods: Self-supervised learning in the spectral domain Yiheng Du N. Chalapathi Aditi Krishnapriyan 85 9 0 08 Dec 2023
Uncertainty Quantification and Propagation in Surrogate-based Bayesian Inference Philipp Reiser Javier Enrique Aguilar A. Guthke Paul-Christian Bürkner 151 3 0 08 Dec 2023
Attention-enhanced neural differential equations for physics-informed deep learning of ion transport Danyal Rehman J. Lienhard 84 2 0 05 Dec 2023
GIT-Net: Generalized Integral Transform for Operator Learning Chao Wang Alexandre H. Thiery AI4CE 60 0 0 05 Dec 2023
Rethinking Urban Mobility Prediction: A Super-Multivariate Time Series Forecasting Approach Jinguo Cheng Ke Li Yuxuan Liang Lijun Sun Junchi Yan Yuankai Wu AI4TS 66 2 0 04 Dec 2023
Pathway to a fully data-driven geotechnics: lessons from materials informatics Stephen Wu Yu Otake Yosuke Higo Ikumasa Yoshida AI4CE 59 5 0 01 Dec 2023
DFU: scale-robust diffusion model for zero-shot super-resolution image generation Alex Havrilla Kevin Rojas Wenjing Liao Molei Tao 94 2 0 30 Nov 2023
Deep Equilibrium Based Neural Operators for Steady-State PDEs Tanya Marwah Ashwini Pokle J. Zico Kolter Zachary Chase Lipton Jianfeng Lu Andrej Risteski 88 8 0 30 Nov 2023