SVD-ROM: Scalable Reduced Order Modeling of Weather and Climate Data Using the Singular Value Decomposition

Despite their high dimensionality, datasets in fluid dynamics, weather, and climate often exhibit low-rank structure, where a small number of dominant patterns explain most of the variability. Singular Value Decomposition (SVD)-based methods provide efficient and interpretable tools for dimensionality reduction in such systems. Dynamic Mode Decomposition (DMD) extends this framework to time-resolved data by extracting coherent spatio-temporal structures and their associated dynamics. This enables the construction of low-dimensional, interpretable emulators of complex dynamical systems. However, its adoption is limited by the practical challenges of working with modern geophysical data volumes. In this work, we present SVD-ROM, an open-source Python package for SVD-based reduced order modeling, including DMD, designed to operate efficiently on datasets such as ERA5 using parallel and out-of-core computation on standard hardware.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-23
DOI
https://doi.org/10.5281/zenodo.19709537
Primary Topic
Model Reduction and Neural Networks
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article
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article

SVD-ROM: Scalable Reduced Order Modeling of Weather and Climate Data Using the Singular Value Decomposition

Robert Vava, Louisa van Zeeland, J. Scott Hosking, Peter Yatsyshin et al.
Zenodo (CERN European Organization for Nuclear Research)
Model Reduction and Neural Networks
article

SVD-ROM: Scalable Reduced Order Modeling of Weather and Climate Data Using the Singular Value Decomposition

Robert Vava, Louisa van Zeeland, J. Scott Hosking, Peter Yatsyshin, Oliver Strickson, David Salvador-Jasin, Benet Eiximeno Franch, J. Nathan Kutz, Lydia France
article en

Abstract

Despite their high dimensionality, datasets in fluid dynamics, weather, and climate often exhibit low-rank structure, where a small number of dominant patterns explain most of the variability. Singular Value Decomposition (SVD)-based methods provide efficient and interpretable tools for dimensionality reduction in such systems. Dynamic Mode Decomposition (DMD) extends this framework to time-resolved data by extracting coherent spatio-temporal structures and their associated dynamics. This enables the construction of low-dimensional, interpretable emulators of complex dynamical systems. However, its adoption is limited by the practical challenges of working with modern geophysical data volumes. In this work, we present SVD-ROM, an open-source Python package for SVD-based reduced order modeling, including DMD, designed to operate efficiently on datasets such as ERA5 using parallel and out-of-core computation on standard hardware.

Zenodo (CERN European Organization for Nuclear Research)
Autodesk (United States) (US), Nvidia (United Kingdom) (GB), University of Washington (US), University of Oxford (GB), Nvidia (United States) (US), The Alan Turing Institute (GB)
Climate action
Openalex Percentile: Top 17%
Model Reduction and Neural Networks
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SVD-ROM: Scalable Reduced Order Modeling of Weather and Climate Data Using the Singular Value Decomposition — Robert Vava, Louisa van Zeeland, et al. · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS