Towards an Adaptive Dynamic Mode Decomposition

Dynamic Mode Decomposition (DMD) is a tool that creates an approximate model from spatio-temporal data. We have developed an architecture of this tool that will adapt to the data from a given problem by leveraging time delay coordinates, projections, and robust principal component analysis. Our sche...

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Autores principales:	Mohammad N. Murshed, M. Monir Uddin
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Dynamic mode decomposition Time delay coordinates Random projection Discrete fourier transform Augmented Lagrange multiplier method Double gyre Applied mathematics. Quantitative methods T57-57.97
Acceso en línea:	https://doaj.org/article/cf5ce29168784f3ebae8f29cb4fca29f
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id	oai:doaj.org-article:cf5ce29168784f3ebae8f29cb4fca29f
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spelling	oai:doaj.org-article:cf5ce29168784f3ebae8f29cb4fca29f2021-12-04T04:36:25ZTowards an Adaptive Dynamic Mode Decomposition2666-720710.1016/j.rico.2021.100076https://doaj.org/article/cf5ce29168784f3ebae8f29cb4fca29f2022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666720721000436https://doaj.org/toc/2666-7207Dynamic Mode Decomposition (DMD) is a tool that creates an approximate model from spatio-temporal data. We have developed an architecture of this tool that will adapt to the data from a given problem by leveraging time delay coordinates, projections, and robust principal component analysis. Our scheme which we call Adaptive Dynamic Mode Decomposition (ADMD) can be used in its exact form or the user may even utilize parts of the scheme for generating a DMD model that is more accurate and reliable compared to the one given by standard DMD. ADMD is demonstrated on several datasets of varying complexities and its performance appears to be promising.Mohammad N. MurshedM. Monir UddinElsevierarticleDynamic mode decompositionTime delay coordinatesRandom projectionDiscrete fourier transformAugmented Lagrange multiplier methodDouble gyreApplied mathematics. Quantitative methodsT57-57.97ENResults in Control and Optimization, Vol 6, Iss , Pp 100076- (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Dynamic mode decomposition Time delay coordinates Random projection Discrete fourier transform Augmented Lagrange multiplier method Double gyre Applied mathematics. Quantitative methods T57-57.97
spellingShingle	Dynamic mode decomposition Time delay coordinates Random projection Discrete fourier transform Augmented Lagrange multiplier method Double gyre Applied mathematics. Quantitative methods T57-57.97 Mohammad N. Murshed M. Monir Uddin Towards an Adaptive Dynamic Mode Decomposition
description	Dynamic Mode Decomposition (DMD) is a tool that creates an approximate model from spatio-temporal data. We have developed an architecture of this tool that will adapt to the data from a given problem by leveraging time delay coordinates, projections, and robust principal component analysis. Our scheme which we call Adaptive Dynamic Mode Decomposition (ADMD) can be used in its exact form or the user may even utilize parts of the scheme for generating a DMD model that is more accurate and reliable compared to the one given by standard DMD. ADMD is demonstrated on several datasets of varying complexities and its performance appears to be promising.
format	article
author	Mohammad N. Murshed M. Monir Uddin
author_facet	Mohammad N. Murshed M. Monir Uddin
author_sort	Mohammad N. Murshed
title	Towards an Adaptive Dynamic Mode Decomposition
title_short	Towards an Adaptive Dynamic Mode Decomposition
title_full	Towards an Adaptive Dynamic Mode Decomposition
title_fullStr	Towards an Adaptive Dynamic Mode Decomposition
title_full_unstemmed	Towards an Adaptive Dynamic Mode Decomposition
title_sort	towards an adaptive dynamic mode decomposition
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/cf5ce29168784f3ebae8f29cb4fca29f
work_keys_str_mv	AT mohammadnmurshed towardsanadaptivedynamicmodedecomposition AT mmoniruddin towardsanadaptivedynamicmodedecomposition
_version_	1718372940268961792

Towards an Adaptive Dynamic Mode Decomposition

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