Multi-Scale Message Passing Neural PDE Solvers


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Date

2023-02

Publication Type

Report

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Abstract

We propose a novel multi-scale message passing neural network algorithm for learning the solutions of time-dependent PDEs. Our algorithm possesses both temporal and spatial multi-scale resolution features by incorporating multi-scale sequence models and graph gating modules in the encoder and processor, respectively. Benchmark numerical experiments are presented to demonstrate that the proposed algorithm outperforms baselines, particularly on a PDE with a range of spatial and temporal scales.

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published

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2023-14

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Publisher

Seminar for Applied Mathematics, ETH Zurich

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03851 - Mishra, Siddhartha / Mishra, Siddhartha check_circle

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