Neural operators meet conjugate gradients: The FCG-NO method for efficient PDE solving

Alexander Rudikov; Vladimir Fanaskov; Ekaterina Muravleva; Yuri M. Laevsky; Ivan Oseledets

2024 ICML ICML 2024

Neural operators meet conjugate gradients: The FCG-NO method for efficient PDE solving

Abstract

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Authors

Alexander Rudikov, Vladimir Fanaskov, Ekaterina Muravleva, Yuri M. Laevsky, Ivan Oseledets

Topics

Machine Learning > Optimization & Theory > Optimization Machine Learning > Application Areas > Efficient Computing Deep Learning > Architectures > Neural Networks

Keywords

partial differential equation neural operator discretization invariant preconditioners flexible conjugate gradient o(n) operations

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