Efficient streaming dynamic mode decomposition

We propose a reformulation of the streaming dynamic mode decomposition method that requires maintaining a single orthonormal basis, thereby reducing computational redundancy. The proposed efficient streaming dynamic mode decomposition method results in a constant-factor reduction in computational complexity and memory storage requirements. Numerical experiments on representative canonical dynamical systems show that the enhanced computational efficiency does not compromise the accuracy of the proposed method.

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Publication Details

Journal
ArXiv.org
Published
2025-07-04
Primary Topic
Spectroscopy Techniques in Biomedical and Chemical Research
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article

Efficient streaming dynamic mode decomposition

Xinyang Zhou, Marcos Netto, Aditya Kale
ArXiv.org
Spectroscopy Techniques in Biomedical and Chemical Research
article

Efficient streaming dynamic mode decomposition

Xinyang Zhou, Marcos Netto, Aditya Kale
article en

Abstract

We propose a reformulation of the streaming dynamic mode decomposition method that requires maintaining a single orthonormal basis, thereby reducing computational redundancy. The proposed efficient streaming dynamic mode decomposition method results in a constant-factor reduction in computational complexity and memory storage requirements. Numerical experiments on representative canonical dynamical systems show that the enhanced computational efficiency does not compromise the accuracy of the proposed method.

ArXiv.org
Openalex Percentile: Top 79%
Spectroscopy Techniques in Biomedical and Chemical Research
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Efficient streaming dynamic mode decomposition — Xinyang Zhou, Marcos Netto, et al. · ArXiv.org (2025) | TGRS Research Map | TGRS