Hierarchical Graph Networks for Accurate Weather Forecasting via Lightweight Training

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Main Authors: Bailie, Thomas, Mukkavilli, S. Karthik, Vetrova, Varvara, Koh, Yun Sing
Format: Preprint
Published: 2025
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author Bailie, Thomas
Mukkavilli, S. Karthik
Vetrova, Varvara
Koh, Yun Sing
author_facet Bailie, Thomas
Mukkavilli, S. Karthik
Vetrova, Varvara
Koh, Yun Sing
contents Climate events arise from intricate, multivariate dynamics governed by global-scale drivers, profoundly impacting food, energy, and infrastructure. Yet, accurate weather prediction remains elusive due to physical processes unfolding across diverse spatio-temporal scales, which fixed-resolution methods cannot capture. Hierarchical Graph Neural Networks (HGNNs) offer a multiscale representation, but nonlinear downward mappings often erase global trends, weakening the integration of physics into forecasts. We introduce HiFlowCast and its ensemble variant HiAntFlow, HGNNs that embed physics within a multiscale prediction framework. Two innovations underpin their design: a Latent-Memory-Retention mechanism that preserves global trends during downward traversal, and a Latent-to-Physics branch that integrates PDE solution fields across diverse scales. Our Flow models cut errors by over 5% at 13-day lead times and by 5-8% under 1st and 99th quantile extremes, improving reliability for rare events. Leveraging pretrained model weights, they converge within a single epoch, reducing training cost and their carbon footprint. Such efficiency is vital as the growing scale of machine learning challenges sustainability and limits research accessibility. Code and model weights are in the supplementary materials.
format Preprint
id arxiv_https___arxiv_org_abs_2510_22094
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hierarchical Graph Networks for Accurate Weather Forecasting via Lightweight Training
Bailie, Thomas
Mukkavilli, S. Karthik
Vetrova, Varvara
Koh, Yun Sing
Machine Learning
Atmospheric and Oceanic Physics
Climate events arise from intricate, multivariate dynamics governed by global-scale drivers, profoundly impacting food, energy, and infrastructure. Yet, accurate weather prediction remains elusive due to physical processes unfolding across diverse spatio-temporal scales, which fixed-resolution methods cannot capture. Hierarchical Graph Neural Networks (HGNNs) offer a multiscale representation, but nonlinear downward mappings often erase global trends, weakening the integration of physics into forecasts. We introduce HiFlowCast and its ensemble variant HiAntFlow, HGNNs that embed physics within a multiscale prediction framework. Two innovations underpin their design: a Latent-Memory-Retention mechanism that preserves global trends during downward traversal, and a Latent-to-Physics branch that integrates PDE solution fields across diverse scales. Our Flow models cut errors by over 5% at 13-day lead times and by 5-8% under 1st and 99th quantile extremes, improving reliability for rare events. Leveraging pretrained model weights, they converge within a single epoch, reducing training cost and their carbon footprint. Such efficiency is vital as the growing scale of machine learning challenges sustainability and limits research accessibility. Code and model weights are in the supplementary materials.
title Hierarchical Graph Networks for Accurate Weather Forecasting via Lightweight Training
topic Machine Learning
Atmospheric and Oceanic Physics
url https://arxiv.org/abs/2510.22094