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
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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 42 17 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 34 5 0 19 Jan 2024
Approximation of Solution Operators for High-dimensional PDEs Nathan Gaby Xiaojing Ye 30 0 0 18 Jan 2024
BENO: Boundary-embedded Neural Operators for Elliptic PDEs Haixin Wang Jiaxin Li Anubhav Dwivedi Kentaro Hara Tailin Wu 32 7 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 19 3 0 17 Jan 2024
Space and Time Continuous Physics Simulation From Partial Observations Steeven Janny Madiha Nadri Wolf Julie Digne Christian Wolf AI4CE 47 5 0 17 Jan 2024
RiemannONets: Interpretable Neural Operators for Riemann Problems Ahmad Peyvan Vivek Oommen Ameya Dilip Jagtap George Karniadakis AI4CE 44 22 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 48 19 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 32 16 0 11 Jan 2024
A novel framework for generalization of deep hidden physics models Vijay Kag Birupaksha Pal AI4CE 13 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 35 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 13 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 65 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 49 5 0 04 Jan 2024
A quatum inspired neural network for geometric modeling Weitao Du Shengchao Liu Xuecang Zhang AI4CE 35 0 0 03 Jan 2024
Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws Taeyoung Kim Myungjoo Kang AI4CE 25 2 0 03 Jan 2024
Pontryagin Neural Operator for Solving Parametric General-Sum Differential Games Lei Zhang Mukesh Ghimire Zhenni Xu Wenlong Zhang Yi Ren 30 3 0 03 Jan 2024
DiffHybrid-UQ: Uncertainty Quantification for Differentiable Hybrid Neural Modeling Deepak Akhare Tengfei Luo Jian-Xun Wang 35 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 21 17 0 29 Dec 2023
Operator learning for hyperbolic partial differential equations Christopher Wang Alex Townsend 42 2 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 26 7 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 35 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 25 22 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 41 3 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 45 1 0 25 Dec 2023
A Mathematical Guide to Operator Learning Nicolas Boullé Alex Townsend 37 38 0 22 Dec 2023
Improving the Expressive Power of Deep Neural Networks through Integral Activation Transform Zezhong Zhang Feng Bao Guannan Zhang 22 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 19 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 39 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 23 7 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 24 8 0 18 Dec 2023
Inducing Point Operator Transformer: A Flexible and Scalable Architecture for Solving PDEs Seungjun Lee Taeil Oh 31 6 0 18 Dec 2023
Neural Operators for Boundary Stabilization of Stop-and-go Traffic Yihuai Zhang Ruiguo Zhong Huan Yu 37 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 18 2 0 16 Dec 2023
On the locality of local neural operator in learning fluid dynamics Ximeng Ye Hongyu Li Jingjie Huang Guoliang Qin AI4CE 39 8 0 15 Dec 2023
Better Neural PDE Solvers Through Data-Free Mesh Movers Peiyan Hu Yue Wang Zhi-Ming Ma AI4CE 33 2 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 53 16 0 08 Dec 2023
Neural Spectral Methods: Self-supervised learning in the spectral domain Yiheng Du N. Chalapathi Aditi Krishnapriyan 24 6 0 08 Dec 2023
Uncertainty Quantification and Propagation in Surrogate-based Bayesian Inference Philipp Reiser Javier Enrique Aguilar A. Guthke Paul-Christian Bürkner 38 2 0 08 Dec 2023
Attention-enhanced neural differential equations for physics-informed deep learning of ion transport Danyal Rehman J. Lienhard 21 2 0 05 Dec 2023
GIT-Net: Generalized Integral Transform for Operator Learning Chao Wang Alexandre H. Thiery AI4CE 37 0 0 05 Dec 2023
Rethinking Urban Mobility Prediction: A Super-Multivariate Time Series Forecasting Approach Jinguo Cheng Ke Li Keli Zhang Lijun Sun Junchi Yan Yuankai Wu AI4TS 33 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 24 4 0 01 Dec 2023
DFU: scale-robust diffusion model for zero-shot super-resolution image generation Alex Havrilla Kevin Rojas Wenjing Liao Molei Tao 42 1 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 31 8 0 30 Nov 2023
Automatic Functional Differentiation in JAX Min Lin 8 3 0 30 Nov 2023
How Much Is Hidden in the NAS Benchmarks? Few-Shot Adaptation of a NAS Predictor H. Loya L. Dudziak Abhinav Mehrotra Royson Lee Javier Fernandez-Marques Nicholas D. Lane Hongkai Wen OOD 38 0 0 30 Nov 2023
Fourier Neural Differential Equations for learning Quantum Field Theories Isaac Brant Alexander Norcliffe Pietro Lio 17 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 H. Menze John S. Lowengrub AI4CE 52 6 0 28 Nov 2023