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Learning Algebraic Multigrid Using Graph Neural Networks

12 March 2020

Papers citing "Learning Algebraic Multigrid Using Graph Neural Networks"

34 / 34 papers shown

Title
Graph neural networks extrapolate out-of-distribution for shortest paths Robert Nerem Samantha Chen Sanjoy Dasgupta Yusu Wang 98 1 0 24 Mar 2025
Deep Learning-Enhanced Preconditioning for Efficient Conjugate Gradient Solvers in Large-Scale PDE Systems Rui-Qi Li Song Wang Chen Wang AI4CE 164 0 0 10 Dec 2024
Multi-Grid Graph Neural Networks with Self-Attention for Computational Mechanics Paul Garnier J. Viquerat E. Hachem AI4CE 46 1 0 18 Sep 2024
UGrid: An Efficient-And-Rigorous Neural Multigrid Solver for Linear PDEs Xi Han Fei Hou Hong Qin AI4CE 70 2 0 09 Aug 2024
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 113 56 0 09 Jul 2024
Accelerating Legacy Numerical Solvers by Non-intrusive Gradient-based Meta-solving S. Arisaka Qianxiao Li 79 0 0 05 May 2024
Neural Multigrid Architectures V. Fanaskov 37 3 0 08 Feb 2024
Graph Neural Networks and Applied Linear Algebra Nicholas S. Moore Eric C. Cyr Peter Ohm C. Siefert R. Tuminaro 71 4 0 21 Oct 2023
Improving Pseudo-Time Stepping Convergence for CFD Simulations With Neural Networks Anouk Zandbergen T. Noorden Alexander Heinlein 67 1 0 10 Oct 2023
Learning to Relax: Setting Solver Parameters Across a Sequence of Linear System Instances M. Khodak Edmond Chow Maria-Florina Balcan Ameet Talwalkar 89 0 0 03 Oct 2023
Reducing operator complexity in Algebraic Multigrid with Machine Learning Approaches Rung-Tzung Huang Kai Chang Huan He Ruipeng Li Yuanzhe Xi 466 2 0 15 Jul 2023
A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs Matteo Caldana P. Antonietti Luca Dede' 55 11 0 21 Apr 2023
Gauge-equivariant pooling layers for preconditioners in lattice QCD C. Lehner T. Wettig AI4CE 67 8 0 20 Apr 2023
Invariant preservation in machine learned PDE solvers via error correction N. McGreivy Ammar Hakim AI4CE PINN 79 9 0 28 Mar 2023
Gauge-equivariant neural networks as preconditioners in lattice QCD C. Lehner T. Wettig AI4CE 77 10 0 10 Feb 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 70 11 0 26 Jan 2023
Optimized Sparse Matrix Operations for Reverse Mode Automatic Differentiation Nicolas Nytko Ali Taghibakhshi Tareq Uz Zaman S. MacLachlan Luke N. Olson Matthew West 55 7 0 10 Dec 2022
MultiScale MeshGraphNets Meire Fortunato Tobias Pfaff Peter Wirnsberger Alexander Pritzel Peter W. Battaglia AI4CE 98 78 0 02 Oct 2022
Learning Relaxation for Multigrid Dmitry Kuznichov AI4CE 46 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 66 12 0 06 Jul 2022
Principled Acceleration of Iterative Numerical Methods Using Machine Learning S. Arisaka Qianxiao Li 108 6 0 17 Jun 2022
Generalization Bounds for Data-Driven Numerical Linear Algebra Peter L. Bartlett Piotr Indyk Tal Wagner 95 15 0 16 Jun 2022
A Deep Conjugate Direction Method for Iteratively Solving Linear Systems Ayano Kaneda Osman Akar Jingyu Chen Victoria Kala David Hyde Joseph Teran 81 12 0 22 May 2022
Learning Interface Conditions in Domain Decomposition Solvers Ali Taghibakhshi Nicolas Nytko Tareq Uz Zaman S. MacLachlan Luke N. Olson Matthew West AI4CE 116 13 0 19 May 2022
Evolving Generalizable Multigrid-Based Helmholtz Preconditioners with Grammar-Guided Genetic Programming J. Schmitt Harald Kostler AI4CE 29 1 0 27 Apr 2022
SoK: Differential Privacy on Graph-Structured Data Tamara T. Mueller Dmitrii Usynin Johannes C. Paetzold Daniel Rueckert Georgios Kaissis 88 15 0 17 Mar 2022
Construction of Grid Operators for Multilevel Solvers: a Neural Network Approach C. Tomasi Rolf Krause AI4CE 44 2 0 13 Sep 2021
Solving PDEs on Unknown Manifolds with Machine Learning Senwei Liang Shixiao W. Jiang J. Harlim Haizhao Yang AI4CE 114 16 0 12 Jun 2021
Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning Ali Taghibakhshi S. MacLachlan Luke N. Olson Matthew West AI4CE 59 31 0 03 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 110 11 0 29 Apr 2021
Reinforcement Learning for Adaptive Mesh Refinement Jiachen Yang T. Dzanic Brenden K. Petersen Junpei Kudo K. Mittal ... T. Zhao H. Zha T. Kolev Robert W. Anderson Daniel Faissol AI4CE 54 47 0 01 Mar 2021
Learning optimal multigrid smoothers via neural networks Ru Huang Ruipeng Li Yuanzhe Xi AI4CE 69 30 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 244 135 0 17 Oct 2020
DiffGCN: Graph Convolutional Networks via Differential Operators and Algebraic Multigrid Pooling Moshe Eliasof Eran Treister 65 25 0 07 Jun 2020