A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition

A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition

The framework of Koopman operator theory is discussed along with its connections to Dynamic Mode Decomposition (DMD) and (Kernel) Extended Dynamic Mode Decomposition (EDMD). This paper provides a succinct overview with consistent notation. The authors hope to provide an exposition that more naturall...

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Veröffentlicht in:arXiv.org 2024-09
Hauptverfasser: Patyn, Christophe, Deconinck, Geert
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description The framework of Koopman operator theory is discussed along with its connections to Dynamic Mode Decomposition (DMD) and (Kernel) Extended Dynamic Mode Decomposition (EDMD). This paper provides a succinct overview with consistent notation. The authors hope to provide an exposition that more naturally emphasizes the connections between theory and algorithms which may result in a sense of clarity on the subject.
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title A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition
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