Multipole Graph Neural Operator for Parametric Partial Differential Equations

16 June 2020

Zong-Yi Li

Nikola B. Kovachki

Kamyar Azizzadenesheli

Papers citing "Multipole Graph Neural Operator for Parametric Partial Differential Equations"

50 / 225 papers shown

Title
Importance of equivariant and invariant symmetries for fluid flow modeling Varun Shankar Shivam Barwey Zico Kolter R. Maulik V. Viswanathan AI4CE 22 4 0 03 May 2023
Domain Agnostic Fourier Neural Operators Ning Liu S. Jafarzadeh Yue Yu AI4CE 29 23 0 30 Apr 2023
A Survey on Solving and Discovering Differential Equations Using Deep Neural Networks Hyeonjung Jung Jung Jayant Gupta B. Jayaprakash Matthew J. Eagon Harish Selvam Carl Molnar W. Northrop Shashi Shekhar AI4CE 35 5 0 26 Apr 2023
Nonlocality and Nonlinearity Implies Universality in Operator Learning S. Lanthaler Zong-Yi Li Andrew M. Stuart 18 16 0 26 Apr 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems Subhayan De P. Brewick 26 0 0 25 Apr 2023
Optimizing Carbon Storage Operations for Long-Term Safety Yizheng Wang Markus Zechner Gege Wen Anthony Corso John Mern Mykel J. Kochenderfer J. Caers 8 1 0 19 Apr 2023
$Laplace-fPINNs: Laplace-based fractional physics-informed neural networks for solving forward and inverse problems of subdiffusion$ Laplace-fPINNs: Laplace-based fractional physics-informed neural networks for solving forward and inverse problems of subdiffusion Xiongbin Yan Zhi-Qin John Xu Zheng Ma 32 2 0 03 Apr 2023
Multilevel CNNs for Parametric PDEs Cosmas Heiß Ingo Gühring Martin Eigel AI4CE 17 8 0 01 Apr 2023
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 37 20 0 30 Mar 2023
Operator learning with PCA-Net: upper and lower complexity bounds S. Lanthaler 21 25 0 28 Mar 2023
GNN-based physics solver for time-independent PDEs R. J. Gladstone H. Rahmani V. Suryakumar Hadi Meidani M. DÉlia A. Zareei AI4CE 20 15 0 28 Mar 2023
Physics-constrained neural differential equations for learning multi-ionic transport Danyal Rehman J. Lienhard AI4CE 34 6 0 07 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 66 9 0 04 Mar 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 23 8 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 W. Yao Yunyang Zhang AI4CE 23 19 0 20 Feb 2023
A Neural PDE Solver with Temporal Stencil Modeling Zhiqing Sun Yiming Yang Shinjae Yoo DiffM AI4CE 22 14 0 16 Feb 2023
Magnetohydrodynamics with Physics Informed Neural Operators S. Rosofsky Eliu A. Huerta AI4CE 15 10 0 13 Feb 2023
SF-SGL: Solver-Free Spectral Graph Learning from Linear Measurements Ying Zhang Zhiqiang Zhao Zhuo Feng 38 2 0 09 Feb 2023
Deep-OSG: Deep Learning of Operators in Semigroup Junfeng Chen Kailiang Wu AI4TS 13 6 0 07 Feb 2023
An Implicit GNN Solver for Poisson-like problems Matthieu Nastorg M. Bucci T. Faney J. Gratien Guillaume Charpiat Marc Schoenauer AI4CE 34 2 0 06 Feb 2023
Convolutional Neural Operators for robust and accurate learning of PDEs Bogdan Raonić Roberto Molinaro Tim De Ryck Tobias Rohner Francesca Bartolucci Rima Alaifari Siddhartha Mishra Emmanuel de Bezenac AAML 24 84 0 02 Feb 2023
An Enhanced V-cycle MgNet Model for Operator Learning in Numerical Partial Differential Equations Jianqing Zhu Juncai He Qiumei Huang 30 4 0 02 Feb 2023
Learning Functional Transduction Mathieu Chalvidal Thomas Serre Rufin VanRullen AI4CE 32 2 0 01 Feb 2023
Neural Operator: Is data all you need to model the world? An insight into the impact of Physics Informed Machine Learning Hrishikesh Viswanath Md Ashiqur Rahman Abhijeet Vyas Andrey Shor Beatriz Medeiros Stephanie Hernandez S. Prameela Aniket Bera PINN AI4CE 42 4 0 30 Jan 2023
MetaNO: How to Transfer Your Knowledge on Learning Hidden Physics Lu Zhang Huaiqian You T. Gao Mo Yu Chung-Hao Lee Yue Yu AI4CE 34 9 0 28 Jan 2023
TransNet: Transferable Neural Networks for Partial Differential Equations Zezhong Zhang F. Bao L. Ju Guannan Zhang 11 3 0 27 Jan 2023
MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methods Ali Taghibakhshi Nicolas Nytko Tareq Uz Zaman S. MacLachlan Luke N. Olson Matthew West AI4CE 19 9 0 26 Jan 2023
Evolve Smoothly, Fit Consistently: Learning Smooth Latent Dynamics For Advection-Dominated Systems Z. Y. Wan Leonardo Zepeda-Núnez Anudhyan Boral Fei Sha BDL AI4CE 11 13 0 25 Jan 2023
Koopman neural operator as a mesh-free solver of non-linear partial differential equations Wei Xiong Xiaomeng Huang Ziyang Zhang Ruixuan Deng Pei Sun Yang Tian AI4CE 17 31 0 24 Jan 2023
KoopmanLab: machine learning for solving complex physics equations Wei Xiong Muyuan Ma Xiaomeng Huang Ziyang Zhang Pei Sun Yang Tian AI4CE 26 13 0 03 Jan 2023
INO: Invariant Neural Operators for Learning Complex Physical Systems with Momentum Conservation Ning Liu Yue Yu Huaiqian You Neeraj Tatikola AI4CE 13 23 0 29 Dec 2022
AirfRANS: High Fidelity Computational Fluid Dynamics Dataset for Approximating Reynolds-Averaged Navier-Stokes Solutions F. Bonnet Jocelyn Ahmed Mazari Paola Cinnella Patrick Gallinari AI4CE 27 54 0 15 Dec 2022
Guiding continuous operator learning through Physics-based boundary constraints Nadim Saad Gaurav Gupta S. Alizadeh Danielle C. Maddix AI4CE 40 20 0 14 Dec 2022
Non-equispaced Fourier Neural Solvers for PDEs Haitao Lin Lirong Wu Yongjie Xu Yufei Huang Siyuan Li Guojiang Zhao Z. Stan 14 7 0 09 Dec 2022
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems Derick Nganyu Tanyu Jianfeng Ning Tom Freudenberg Nick Heilenkötter A. Rademacher U. Iben Peter Maass AI4CE 20 34 0 06 Dec 2022
On the Compatibility between Neural Networks and Partial Differential Equations for Physics-informed Learning Kuangdai Leng Jeyan Thiyagalingam PINN 24 2 0 01 Dec 2022
An Introduction to Kernel and Operator Learning Methods for Homogenization by Self-consistent Clustering Analysis Owen Huang Sourav Saha Jiachen Guo Wing Kam Liu AI4CE 8 12 0 01 Dec 2022
Accelerated Solutions of Coupled Phase-Field Problems using Generative Adversarial Networks Vir Karan A. M. Indresh S. Bhattacharyya AI4CE 12 0 0 22 Nov 2022
Bayesian Inversion with Neural Operator (BINO) for Modeling Subdiffusion: Forward and Inverse Problems Xiongbin Yan Z. Xu Zheng Ma 11 2 0 22 Nov 2022
Multiresolution kernel matrix algebra Helmut Harbrecht Michael Multerer Olaf Schenk Christoph Schwab 11 6 0 21 Nov 2022
Physics-Informed Machine Learning: A Survey on Problems, Methods and Applications Zhongkai Hao Songming Liu Yichi Zhang Chengyang Ying Yao Feng Hang Su Jun Zhu PINN AI4CE 25 89 0 15 Nov 2022
Partial Differential Equations Meet Deep Neural Networks: A Survey Shudong Huang Wentao Feng Chenwei Tang Jiancheng Lv AI4CE AIMat 24 17 0 27 Oct 2022
HyperEF: Spectral Hypergraph Coarsening by Effective-Resistance Clustering Ali Aghdaei Zhuo Feng 15 8 0 26 Oct 2022
A Kernel Approach for PDE Discovery and Operator Learning D. Long Nicole Mrvaljević Shandian Zhe Bamdad Hosseini 16 7 0 14 Oct 2022
A composable machine-learning approach for steady-state simulations on high-resolution grids Rishikesh Ranade C. Hill Lalit Ghule Jay Pathak AI4CE 23 7 0 11 Oct 2022
MAgNet: Mesh Agnostic Neural PDE Solver Oussama Boussif D. Assouline L. Benabbou Yoshua Bengio AI4CE 100 28 0 11 Oct 2022
Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problems Lianghao Cao Thomas O'Leary-Roseberry Prashant K. Jha J. Oden Omar Ghattas 23 26 0 06 Oct 2022
Efficient Learning of Mesh-Based Physical Simulation with BSMS-GNN Yadi Cao Menglei Chai Minchen Li Chenfanfu Jiang AI4CE 27 18 0 05 Oct 2022
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities S. Lanthaler Roberto Molinaro Patrik Hadorn Siddhartha Mishra 37 24 0 03 Oct 2022
Continuous PDE Dynamics Forecasting with Implicit Neural Representations Yuan Yin Matthieu Kirchmeyer Jean-Yves Franceschi A. Rakotomamonjy Patrick Gallinari AI4CE 17 48 0 29 Sep 2022