MgNO: Efficient Parameterization of Linear Operators via Multigrid

v1v2v3 (latest)

MgNO: Efficient Parameterization of Linear Operators via Multigrid

16 October 2023

ArXiv (abs)PDF HTML

Papers citing "MgNO: Efficient Parameterization of Linear Operators via Multigrid"

15 / 15 papers shown

Title
Recurrent Neural Operators: Stable Long-Term PDE Prediction Zaijun Ye Chen-Song Zhang Wansheng Wang AI4CE 76 0 0 27 May 2025
Multi-Level Monte Carlo Training of Neural Operators James Rowbottom Stefania Fresca Pietro Lio Carola-Bibiane Schönlieb Nicolas Boullé AI4CE 111 1 0 19 May 2025
Redefining Neural Operators in $d+1$ Dimensions Haoze Song Zhihao Li Xiaobo Zhang Zecheng Gan Zhilu Lai Wei Wang 53 0 0 17 May 2025
Parametric Value Approximation for General-sum Differential Games with State Constraints Lei Zhang Mukesh Ghimire Wenlong Zhang Z. Xu Yi Ren 74 0 0 10 Mar 2025
Higher Order Approximation Rates for ReLU CNNs in Korobov Spaces Yuwen Li Guozhi Zhang 196 1 0 20 Jan 2025
Orthogonal greedy algorithm for linear operator learning with shallow neural network Ye Lin Jiwei Jia Young Ju Lee Ran Zhang 80 1 0 06 Jan 2025
A deformation-based framework for learning solution mappings of PDEs defined on varying domains Shanshan Xiao Pengzhan Jin Yifa Tang 107 1 0 02 Dec 2024
Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries Zhihao Li Haoze Song Di Xiao Zhilu Lai Wei Wang AI4CE 252 4 0 18 Nov 2024
Structure-Preserving Operator Learning Nacime Bouziani Nicolas Boullé 70 1 0 01 Oct 2024
A MgNO Method for Multiphase Flow in Porous Media Xinliang Liu Xia Yang Chen-Song Zhang Lian Zhang Li Zhao AI4CE 100 1 0 16 Jun 2024
M2NO: Multiresolution Operator Learning with Multiwavelet-based Algebraic Multigrid Method Zhihao Li Zhilu Lai Xiaobo Wang Wei Wang 60 3 0 07 Jun 2024
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows Shuhao Cao Francesco Brarda Ruipeng Li Yuanzhe Xi 109 0 0 27 May 2024
Newton Informed Neural Operator for Computing Multiple Solutions of Nonlinear Partials Differential Equations Wenrui Hao Xinliang Liu Yahong Yang 72 4 0 23 May 2024
Learning solution operators of PDEs defined on varying domains via MIONet Shanshan Xiao Pengzhan Jin Yifa Tang 91 3 0 23 Feb 2024
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples Jun Hu Pengzhan Jin 63 9 0 11 Feb 2024