Search Results for author: Scott MacLachlan

Found 4 papers, 4 papers with code

MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methods

1 code implementation26 Jan 2023 Ali Taghibakhshi, Nicolas Nytko, Tareq Uz Zaman, Scott MacLachlan, Luke Olson, Matthew West

Domain decomposition methods (DDMs) are popular solvers for discretized systems of partial differential equations (PDEs), with one-level and multilevel variants.

Optimized Sparse Matrix Operations for Reverse Mode Automatic Differentiation

1 code implementation10 Dec 2022 Nicolas Nytko, Ali Taghibakhshi, Tareq Uz Zaman, Scott MacLachlan, Luke N. Olson, Matt West

Sparse matrix representations are ubiquitous in computational science and machine learning, leading to significant reductions in compute time, in comparison to dense representation, for problems that have local connectivity.

Learning Interface Conditions in Domain Decomposition Solvers

1 code implementation19 May 2022 Ali Taghibakhshi, Nicolas Nytko, Tareq Zaman, Scott MacLachlan, Luke Olson, Matthew West

Domain decomposition methods are widely used and effective in the approximation of solutions to partial differential equations.

Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning

1 code implementation NeurIPS 2021 Ali Taghibakhshi, Scott MacLachlan, Luke Olson, Matthew West

A system of linear equations defines a graph on the set of unknowns and each level of a multigrid solver requires the selection of an appropriate coarse graph along with restriction and interpolation operators that map to and from the coarse representation.

reinforcement-learning Reinforcement Learning (RL)

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