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Singular Dynamic Mode Decomposition

open access: yesSIAM Journal on Applied Dynamical Systems, 2023
11 pages. YouTube playlist supporting this manuscript can be found here: https://youtube.com/playlist?list=PLldiDnQu2phsZdFP3nHoGnk_Aq ...
Rushikesh Kamalapurkar, Joel Rosenfeld
exaly   +6 more sources

Multiresolution Dynamic Mode Decomposition [PDF]

open access: yesSIAM Journal on Applied Dynamical Systems, 2016
Summary: We demonstrate that the integration of the recently developed dynamic mode decomposition (DMD) with a multiresolution analysis allows for a decomposition method capable of robustly separating complex systems into a hierarchy of multiresolution time-scale components. A one-level separation allows for background (low-rank) and foreground (sparse)
Nathan Kutz, Xing Fu
exaly   +3 more sources

Prediction Accuracy of Dynamic Mode Decomposition

open access: yesSIAM Journal of Scientific Computing, 2020
Dynamic mode decomposition (DMD), which the family of singular-value decompositions (SVD), is a popular tool of data-driven regression. While multiple numerical tests demonstrated the power and efficiency of DMD in representing data (i.e., in the interpolation mode), applications of DMD as a predictive tool (i.e., in the extrapolation mode) are scarce.
Daniel M Tartakovsky
exaly   +5 more sources
Some of the next articles are maybe not open access.

Centering Data Improves the Dynamic Mode Decomposition

SIAM Journal on Applied Dynamical Systems, 2020
Kameron Harris   +2 more
exaly  

Robust and Scalable Methods for the Dynamic Mode Decomposition

SIAM Journal on Applied Dynamical Systems, 2022
Travis Askham   +2 more
exaly  

A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems

SIAM Journal on Applied Dynamical Systems, 2023
Gianluigi Rozza, Nicola Demo
exaly  

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