Learning Algebraic Multigrid Using Graph Neural Networks

Learning Algebraic Multigrid Using Graph Neural Networks

12 March 2020

Papers citing "Learning Algebraic Multigrid Using Graph Neural Networks"

16 / 16 papers shown

Title
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 39 45 0 09 Jul 2024
Neural Multigrid Architectures V. Fanaskov 24 3 0 08 Feb 2024
Graph Neural Networks and Applied Linear Algebra Nicholas S. Moore Eric C. Cyr Peter Ohm C. Siefert R. Tuminaro 37 4 0 21 Oct 2023
Invariant preservation in machine learned PDE solvers via error correction N. McGreivy Ammar Hakim AI4CE PINN 34 8 0 28 Mar 2023
Gauge-equivariant neural networks as preconditioners in lattice QCD C. Lehner T. Wettig AI4CE 38 10 0 10 Feb 2023
Optimized Sparse Matrix Operations for Reverse Mode Automatic Differentiation Nicolas Nytko Ali Taghibakhshi Tareq Uz Zaman S. MacLachlan Luke N. Olson Matthew West 29 7 0 10 Dec 2022
MultiScale MeshGraphNets Meire Fortunato Tobias Pfaff Peter Wirnsberger Alexander Pritzel Peter W. Battaglia AI4CE 37 68 0 02 Oct 2022
Learning Relaxation for Multigrid Dmitry Kuznichov AI4CE 24 1 0 25 Jul 2022
AI-enhanced iterative solvers for accelerating the solution of large scale parametrized systems Stefanos Nikolopoulos I. Kalogeris V. Papadopoulos G. Stavroulakis 29 11 0 06 Jul 2022
Principled Acceleration of Iterative Numerical Methods Using Machine Learning S. Arisaka Qianxiao Li 32 5 0 17 Jun 2022
Generalization Bounds for Data-Driven Numerical Linear Algebra Peter L. Bartlett Piotr Indyk Tal Wagner 37 14 0 16 Jun 2022
Construction of Grid Operators for Multilevel Solvers: a Neural Network Approach C. Tomasi Rolf Krause AI4CE 13 2 0 13 Sep 2021
Solving PDEs on Unknown Manifolds with Machine Learning Senwei Liang Shixiao W. Jiang J. Harlim Haizhao Yang AI4CE 52 16 0 12 Jun 2021
Distributed Multigrid Neural Solvers on Megavoxel Domains Aditya Balu Sergio Botelho Biswajit Khara Vinay Rao Chinmay Hegde Soumik Sarkar Santi S. Adavani A. Krishnamurthy Baskar Ganapathysubramanian AI4CE 24 11 0 29 Apr 2021
Learning optimal multigrid smoothers via neural networks Ru Huang Ruipeng Li Yuanzhe Xi AI4CE 18 27 0 24 Feb 2021
From Local Structures to Size Generalization in Graph Neural Networks Gilad Yehudai Ethan Fetaya E. Meirom Gal Chechik Haggai Maron GNN AI4CE 172 124 0 17 Oct 2020