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Challenges in dynamic mode decomposition [PDF]
Journal of the Royal Society Interface, 2021 Dynamic mode decomposition (DMD) is a powerful tool for extracting spatial and temporal patterns from multi-dimensional time series, and it has been used successfully in a wide range of fields, including fluid mechanics, robotics and neuroscience. Two of the main challenges remaining in DMD research are noise sensitivity and issues related to Krylov ...
Shai Revzen, Steve Brunton, Ziyou Wu
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Non-Stationary Dynamic Mode Decomposition [PDF]
IEEE Access, 2023 Many physical processes display complex high-dimensional time-varying behavior, from global weather patterns to brain activity. An outstanding challenge is to express high dimensional data in terms of a dynamical model that reveals their spatiotemporal ...
John Ferre +4 more
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Dynamic Mode Decomposition with Control [PDF]
SIAM 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 ...
Nathan Kutz
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Robust Dynamic Mode Decomposition
IEEE Access, 2022 This paper develops a robust dynamic mode decomposition (RDMD) method endowed with statistical and numerical robustness. Statistical robustness ensures estimation efficiency at the Gaussian and non-Gaussian probability distributions, including heavy ...
Amir Hossein Abolmasoumi +2 more
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MEASURING THE PRESSURE IN DYNAMIC MODE
Сучасні інформаційні системи, 2019 The subject study of the article is to measure the pressure in the dynamic mode used in parts of the regional center of standardization and metrology during the verification and calibration of measuring equipment and during their operation.
Vladimir Kononov +2 more
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Swarm Modeling With Dynamic Mode Decomposition
IEEE Access, 2022 Modelling biological or engineering swarms is challenging due to the inherently high dimension of the system, despite the often low-dimensional emergent dynamics.
Emma Hansen +2 more
doaj +3 more sources
Real-time motion detection using dynamic mode decomposition [PDF]
EURASIP Journal on Image and Video ProcessingDynamic mode decomposition (DMD) is a numerical method that seeks to fit time-series data to a linear dynamical system. In doing so, DMD decomposes dynamic data into spatially coherent modes that evolve in time according to exponential growth/decay or ...
Marco Mignacca +2 more
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Moving Target Detection Using Dynamic Mode Decomposition [PDF]
Sensors, 2018 It is challenging to detect a moving target in the reverberant environment for a long time. In recent years, a kind of method based on low-rank and sparse theory was developed to study this problem.
Jingwei Yin +3 more
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Molecules, 2023 The Donnan membrane technique (DMT), in which a synthetic or natural solution (the “donor”) is separated from a ligand-free solution (the “acceptor”) by a cation-exchange membrane, is a recognized technique for measuring the concentration of a free metal
Estelle Ricard +3 more
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Singular Dynamic Mode Decomposition
SIAM Journal on Applied Dynamical Systems, 2023 11 pages. YouTube playlist supporting this manuscript can be found here: https://youtube.com/playlist?list=PLldiDnQu2phsZdFP3nHoGnk_Aq ...
Joel A. Rosenfeld +1 more
openaire +3 more sources