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Extracting Reproducible Time-Resolved Resting State Networks Using Dynamic Mode Decomposition. [PDF]
Front Comput Neurosci, 2019 Kunert-Graf JM +5 more
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Extended-Kalman-filter-based dynamic mode decomposition for simultaneous system identification and denoising. [PDF]
PLoS One, 2019 Nonomura T, Shibata H, Takaki R.
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Improved Dynamic Mode Decomposition and Its Application to Fault Diagnosis of Rolling Bearing. [PDF]
Sensors (Basel), 2018 Dang Z, Lv Y, Li Y, Wei G.
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Convergent Dynamic Mode Decomposition
2023 62nd IEEE Conference on Decision and Control (CDC), 2023This manuscript addresses convergence of dynamic mode decomposition (DMD) algorithms and the existence of associated Koopman modes. Convergence relies on reformulation of dynamic mode decomposition in terms of newly defined compact operators defined with
Joel A. Rosenfeld, R. Kamalapurkar
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Dynamic Mode Decomposition and Its Variants
Annual Review of Fluid Mechanics, 2021Dynamic mode decomposition (DMD) is a factorization and dimensionality reduction technique for data sequences. In its most common form, it processes high-dimensional sequential measurements, extracts coherent structures, isolates dynamic behavior, and ...
P. Schmid
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The Multiverse of Dynamic Mode Decomposition Algorithms
arXiv.org, 2023Dynamic Mode Decomposition (DMD) is a popular data-driven analysis technique used to decompose complex, nonlinear systems into a set of modes, revealing underlying patterns and dynamics through spectral analysis.
Matthew J. Colbrook
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Data-Driven MPC With Stability Guarantees Using Extended Dynamic Mode Decomposition
IEEE Transactions on Automatic Control, 2023For nonlinear (control) systems, extended dynamic mode decomposition (EDMD) is a popular method to obtain data-driven surrogate models. Its theoretical foundation is the Koopman framework, in which one propagates observable functions of the state to ...
Lea Bold +3 more
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An improved mode time coefficient for dynamic mode decomposition
The Physics of Fluids, 2023Dynamic mode decomposition (DMD) is widely used for extracting dominant structures of unsteady flow fields. However, the traditional mode time coefficient of DMD is assumed to change exponentially over the time.
Lianchao Xu +4 more
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