Learning Algebraic Multigrid Using Graph Neural Networks
暂无分享,去创建一个
Ronen Basri | Irad Yavneh | Meirav Galun | Haggai Maron | Ilay Luz | R. Basri | I. Yavneh | M. Galun | Haggai Maron | Ilay Luz
[1] Joan Bruna,et al. Spectral Networks and Locally Connected Networks on Graphs , 2013, ICLR.
[2] Ah Chung Tsoi,et al. The Graph Neural Network Model , 2009, IEEE Transactions on Neural Networks.
[3] Joan Bruna,et al. On the equivalence between graph isomorphism testing and function approximation with GNNs , 2019, NeurIPS.
[4] D FalgoutRobert. An Introduction to Algebraic Multigrid , 2006 .
[5] Thomas A. Manteuffel,et al. Algebraic multigrid for directed graph Laplacian linear systems (NS‐LAMG) , 2018, Numer. Linear Algebra Appl..
[6] K. Stuben,et al. Algebraic Multigrid (AMG) : An Introduction With Applications , 2000 .
[7] Mingui Sun,et al. Solving partial differential equations in real-time using artificial neural network signal processing as an alternative to finite-element analysis , 2003, International Conference on Neural Networks and Signal Processing, 2003. Proceedings of the 2003.
[8] Thomas A. Manteuffel,et al. Multilevel Adaptive Aggregation for Markov Chains, with Application to Web Ranking , 2008, SIAM J. Sci. Comput..
[9] Ronen Basri,et al. Learning to Optimize Multigrid PDE Solvers , 2019, ICML.
[10] Elena Virnik,et al. An Algebraic Multigrid Preconditioner for a Class of Singular M-Matrices , 2007, SIAM J. Sci. Comput..
[11] Talgat Daulbaev,et al. Deep Multigrid: learning prolongation and restriction matrices , 2017, 1711.03825.
[12] Luke N. Olson,et al. Parallel coarse‐grid selection , 2007, Numer. Linear Algebra Appl..
[13] Hans De Sterck,et al. Reducing Complexity in Parallel Algebraic Multigrid Preconditioners , 2004, SIAM J. Matrix Anal. Appl..
[14] StübenKlaus. Algebraic multigrid (AMG) , 1983 .
[15] J. W. Ruge,et al. 4. Algebraic Multigrid , 1987 .
[16] Jacob B. Schroder,et al. A General Interpolation Strategy for Algebraic Multigrid Using Energy Minimization , 2011, SIAM J. Sci. Comput..
[17] Pascal Fua,et al. Backpropagation-Friendly Eigendecomposition , 2019, NeurIPS.
[18] David L. Dill,et al. Learning a SAT Solver from Single-Bit Supervision , 2018, ICLR.
[19] Irad Yavneh,et al. Square and stretch multigrid for stochastic matrix eigenproblems , 2010, Numer. Linear Algebra Appl..
[20] Jonas Schmitt,et al. Optimizing Geometric Multigrid Methods with Evolutionary Computation , 2019, ArXiv.
[21] Max Welling,et al. Semi-Supervised Classification with Graph Convolutional Networks , 2016, ICLR.
[22] D. Brandt,et al. Multi-level adaptive solutions to boundary-value problems math comptr , 1977 .
[23] Gaël Varoquaux,et al. Scikit-learn: Machine Learning in Python , 2011, J. Mach. Learn. Res..
[24] Thomas A. Manteuffel,et al. Algebraic multigrid for higher-order finite elements , 2005 .
[25] Joan Bruna,et al. Deep Convolutional Networks on Graph-Structured Data , 2015, ArXiv.
[26] D. Bartuschat. Algebraic Multigrid , 2007 .
[27] K. Stüben. Algebraic multigrid (AMG): experiences and comparisons , 1983 .
[28] Graham Horton,et al. A multi-level solution algorithm for steady-state Markov chains , 1994, SIGMETRICS.
[29] Samuel S. Schoenholz,et al. Neural Message Passing for Quantum Chemistry , 2017, ICML.
[30] R.D. Falgout,et al. An Introduction to Algebraic Multigrid Computing , 2006, Computing in Science & Engineering.
[31] Robert D. Falgout,et al. Coarse-Grid Selection for Parallel Algebraic Multigrid , 1998, IRREGULAR.
[32] Yaron Lipman,et al. Provably Powerful Graph Networks , 2019, NeurIPS.
[33] F. Scarselli,et al. A new model for learning in graph domains , 2005, Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005..
[34] Ulrike von Luxburg,et al. A tutorial on spectral clustering , 2007, Stat. Comput..
[35] Razvan Pascanu,et al. Relational inductive biases, deep learning, and graph networks , 2018, ArXiv.
[36] Achi Brandt,et al. Lean Algebraic Multigrid (LAMG): Fast Graph Laplacian Linear Solver , 2011, SIAM J. Sci. Comput..
[37] Zhuwen Li,et al. Combinatorial Optimization with Graph Convolutional Networks and Guided Tree Search , 2018, NeurIPS.
[38] Stefano Ermon,et al. Learning Neural PDE Solvers with Convergence Guarantees , 2019, ICLR.
[39] William L. Briggs,et al. A multigrid tutorial , 1987 .
[40] Marian Brezina,et al. Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems , 2005, Computing.
[41] Graham Horton,et al. A multi-level solution algorithm for steady-state Markov chains , 1994, SIGMETRICS.
[42] Artem Napov,et al. An Efficient Multigrid Method for Graph Laplacian Systems II: Robust Aggregation , 2017, SIAM J. Sci. Comput..
[43] Andrew V. Knyazev,et al. Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method , 2001, SIAM J. Sci. Comput..
[44] Jimmy Ba,et al. Adam: A Method for Stochastic Optimization , 2014, ICLR.
[45] Xavier Bresson,et al. Convolutional Neural Networks on Graphs with Fast Localized Spectral Filtering , 2016, NIPS.
[46] Yue Wang,et al. Dynamic Graph CNN for Learning on Point Clouds , 2018, ACM Trans. Graph..
[47] Panayot S. Vassilevski,et al. Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG , 2001, SIAM J. Sci. Comput..
[48] Thomas A. Manteuffel,et al. Algebraic Multigrid Based on Element Interpolation (AMGe) , 2000, SIAM J. Sci. Comput..
[49] Thomas A. Manteuffel,et al. Smoothed Aggregation Multigrid for Markov Chains , 2010, SIAM J. Sci. Comput..
[50] Jonathan Richard Shewchuk,et al. Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator , 1996, WACG.
[51] Yuan Yu,et al. TensorFlow: A system for large-scale machine learning , 2016, OSDI.