Efficient streaming dynamic mode decomposition

Fuente: arXiv
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Main Authors: Kale, Aditya, Netto, Marcos, Zhou, Xinyang
Format: Preprint
Published: 2025
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author Kale, Aditya
Netto, Marcos
Zhou, Xinyang
author_facet Kale, Aditya
Netto, Marcos
Zhou, Xinyang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_03770
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Efficient streaming dynamic mode decomposition
Kale, Aditya
Netto, Marcos
Zhou, Xinyang
Systems and Control
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.
title Efficient streaming dynamic mode decomposition
topic Systems and Control
url https://arxiv.org/abs/2507.03770