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Dynamic Mode Decomposition with Control [PDF]

open access: yesSIAM Journal on Applied Dynamical Systems, 2016
We develop a new method which extends Dynamic Mode Decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear analysis to nonlinear operator theory, and provides an equation-free architecture which is compatible with ...
Steven L Brunton, J Nathan Kutz
exaly   +4 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)
J Nathan Kutz   +2 more
exaly   +3 more sources
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Sparse nonnegative dynamic mode decomposition

2017 IEEE International Conference on Image Processing (ICIP), 2017
Dynamic mode decomposition (DMD) is a method to extract coherent modes from nonlinear dynamical systems. In this paper, we propose an extension of DMD, sparse nonnegative DMD, which generates a nonlinear and sparse modal representation of dynamics. In particular, this makes DMD more suitable for video processing.
Naoya Takeishi   +2 more
openaire   +1 more source

Dynamic Mode Decomposition for Background Modeling

2017 IEEE International Conference on Computer Vision Workshops (ICCVW), 2017
The Dynamic Mode Decomposition (DMD) is a spatiotemporal matrix decomposition method capable of background modeling in video streams. DMD is a regression technique that integrates Fourier transforms and singular value decomposition. Innovations in compressed sensing allow for a scalable and rapid decomposition of video streams that scales with the ...
Seth D. Pendergrass   +4 more
openaire   +1 more source

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