Spectral-inspired Neural Operator for Data-efficient PDE Simulation in Physics-agnostic Regimes

27 May 2025

Papers citing "Spectral-inspired Neural Operator for Data-efficient PDE Simulation in Physics-agnostic Regimes"

39 / 39 papers shown

Title
PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems Han Wan Rui Zhang Qi Wang Yang Liu Hao Sun PINN 59 1 0 03 May 2025
Symbolic Neural Ordinary Differential Equations Xin Li Chengli Zhao Xue Zhang Xiaojun Duan 45 2 0 11 Mar 2025
P $^2$ C $^2$ Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamics Qi Wang Pu Ren Hao Zhou Xin-Yang Liu Z. Deng ... Zidong Wang Jian-Xun Wang Ji-Rong_Wen Hao Sun Yang Liu 98 9 0 29 Oct 2024
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 74 52 0 09 Jul 2024
Unisolver: PDE-Conditional Transformers Are Universal PDE Solvers Zhou Hang Yuezhou Ma Haixu Wu Haowen Wang Mingsheng Long AI4CE 46 11 0 27 May 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training Zhongkai Hao Chang Su Songming Liu Julius Berner Chengyang Ying Hang Su A. Anandkumar Jian Song Jun Zhu AI4TS AI4CE 78 31 0 06 Mar 2024
Transolver: A Fast Transformer Solver for PDEs on General Geometries Haixu Wu Huakun Luo Haowen Wang Jianmin Wang Mingsheng Long AI4CE 78 57 0 04 Feb 2024
BENO: Boundary-embedded Neural Operators for Elliptic PDEs Haixin Wang Jiaxin Li Anubhav Dwivedi Kentaro Hara Tailin Wu 65 8 0 17 Jan 2024
HyperDeepONet: learning operator with complex target function space using the limited resources via hypernetwork Jae Yong Lee S. Cho H. Hwang 49 23 0 26 Dec 2023
Neural Spectral Methods: Self-supervised learning in the spectral domain Yiheng Du N. Chalapathi Aditi Krishnapriyan 45 9 0 08 Dec 2023
Deciphering and integrating invariants for neural operator learning with various physical mechanisms Rui Zhang Qi Meng Zhi-Ming Ma AI4CE 64 9 0 24 Nov 2023
Neural Operators for Accelerating Scientific Simulations and Design Kamyar Azzizadenesheli Nikola B. Kovachki Zong-Yi Li Miguel Liu-Schiaffini Jean Kossaifi Anima Anandkumar AI4CE 63 145 0 27 Sep 2023
Scalable Transformer for PDE Surrogate Modeling Zijie Li Dule Shu A. Farimani 70 78 0 27 May 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 37 9 0 20 Feb 2023
Eagle: Large-Scale Learning of Turbulent Fluid Dynamics with Mesh Transformers Steeven Janny Aurélien Béneteau Madiha Nadri Wolf Julie Digne Nicolas Thome Christian Wolf AI4CE 116 37 0 16 Feb 2023
A Neural PDE Solver with Temporal Stencil Modeling Zhiqing Sun Yiming Yang Shinjae Yoo DiffM AI4CE 67 17 0 16 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 112 6 0 10 Feb 2023
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing Salah A. Faroughi N. Pawar C. Fernandes Maziar Raissi Subasish Das N. Kalantari S. K. Mahjour PINN AI4CE 53 50 0 14 Nov 2022
Learning to correct spectral methods for simulating turbulent flows Gideon Dresdner Dmitrii Kochkov Peter C. Norgaard Leonardo Zepeda-Núñez Jamie A. Smith M. Brenner Stephan Hoyer AI4CE 52 59 0 01 Jul 2022
Deep Random Vortex Method for Simulation and Inference of Navier-Stokes Equations Rui Zhang Tailin Wu Qi Meng Yue Wang Rongchan Zhu Bingguang Chen Zhi-Ming Ma Tie-Yan Liu 32 15 0 20 Jun 2022
LordNet: An Efficient Neural Network for Learning to Solve Parametric Partial Differential Equations without Simulated Data Xinquan Huang Wenlei Shi Xiaotian Gao Xinran Wei Jia Zhang Jiang Bian Mao Yang Tie-Yan Liu PINN 46 11 0 19 Jun 2022
Multi-resolution partial differential equations preserved learning framework for spatiotemporal dynamics Xin-Yang Liu Min Zhu Lu Lu Hao Sun Jian-Xun Wang PINN AI4CE 63 51 0 09 May 2022
SVD Perspectives for Augmenting DeepONet Flexibility and Interpretability Simone Venturi T. Casey 44 38 0 27 Apr 2022
Message Passing Neural PDE Solvers Johannes Brandstetter Daniel E. Worrall Max Welling AI4CE 64 282 0 07 Feb 2022
Discovering Nonlinear PDEs from Scarce Data with Physics-encoded Learning Chengping Rao Pu Ren Yang Liu Hao Sun AI4CE 83 29 0 28 Jan 2022
Factorized Fourier Neural Operators Alasdair Tran A. Mathews Lexing Xie Cheng Soon Ong AI4CE 64 153 0 27 Nov 2021
Physics-Informed Neural Operator for Learning Partial Differential Equations Zong-Yi Li Hongkai Zheng Nikola B. Kovachki David Jin Haoxuan Chen Burigede Liu Kamyar Azizzadenesheli Anima Anandkumar AI4CE 101 410 0 06 Nov 2021
Spline-PINN: Approaching PDEs without Data using Fast, Physics-Informed Hermite-Spline CNNs Nils Wandel Michael Weinmann Michael Neidlin Reinhard Klein AI4CE 73 62 0 15 Sep 2021
U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow Gege Wen Zong-Yi Li Kamyar Azizzadenesheli Anima Anandkumar S. Benson AI4CE 71 387 0 03 Sep 2021
Characterizing possible failure modes in physics-informed neural networks Aditi S. Krishnapriyan A. Gholami Shandian Zhe Robert M. Kirby Michael W. Mahoney PINN AI4CE 104 636 0 02 Sep 2021
Encoding physics to learn reaction-diffusion processes Chengping Rao Pu Ren Qi Wang O. Buyukozturk Haoqin Sun Yang Liu PINN AI4CE DiffM 68 93 0 09 Jun 2021
Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets Sizhuang He Hanwen Wang P. Perdikaris AI4CE 79 697 0 19 Mar 2021
Machine learning accelerated computational fluid dynamics Dmitrii Kochkov Jamie A. Smith Ayya Alieva Qing Wang M. Brenner Stephan Hoyer AI4CE 100 862 0 28 Jan 2021
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 482 2,397 0 18 Oct 2020
Learning Mesh-Based Simulation with Graph Networks Tobias Pfaff Meire Fortunato Alvaro Sanchez-Gonzalez Peter W. Battaglia AI4CE 77 783 0 07 Oct 2020
Learning to Simulate Complex Physics with Graph Networks Alvaro Sanchez-Gonzalez Jonathan Godwin Tobias Pfaff Rex Ying J. Leskovec Peter W. Battaglia PINN AI4CE 131 1,088 0 21 Feb 2020
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 222 2,119 0 08 Oct 2019
AI Feynman: a Physics-Inspired Method for Symbolic Regression S. Udrescu Max Tegmark 158 872 0 27 May 2019
PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network Zichao Long Yiping Lu Bin Dong AI4CE 65 552 0 30 Nov 2018