Extended dynamic mode decomposition with dictionary learning using neural ordinary differential equations

Hiroaki Terao; Sho Shirasaka; Hideyuki Suzuki

doi:10.1587/nolta.12.626

Extended dynamic mode decomposition with dictionary learning using neural ordinary differential equations

Nonlinear Theory and Its Applications IEICE ◽

10.1587/nolta.12.626 ◽

2021 ◽

Vol 12 (4) ◽

pp. 626-638

Author(s):

Hiroaki Terao ◽

Sho Shirasaka ◽

Hideyuki Suzuki

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Dictionary Learning ◽

Dynamic Mode Decomposition ◽

Dynamic Mode ◽

Mode Decomposition ◽

Extended Dynamic

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Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4993854 ◽

2017 ◽

Vol 27 (10) ◽

pp. 103111 ◽

Cited By ~ 57

Author(s):

Qianxiao Li ◽

Felix Dietrich ◽

Erik M. Bollt ◽

Ioannis G. Kevrekidis

Keyword(s):

Dictionary Learning ◽

Spectral Decomposition ◽

Dynamic Mode Decomposition ◽

Data Driven ◽

Dynamic Mode ◽

Koopman Operator ◽

Mode Decomposition ◽

Extended Dynamic

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Robust Adaptive Dynamic Mode Decomposition for Reduce Order Modelling of Partial Differential Equations

2021 American Control Conference (ACC) ◽

10.23919/acc50511.2021.9483319 ◽

2021 ◽

Author(s):

Aniketh Kalur ◽

Saleh Nabi ◽

Mouhacine Benosman

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Dynamic Mode Decomposition ◽

Dynamic Mode ◽

Partial Differential ◽

Adaptive Dynamic ◽

Mode Decomposition ◽

Robust Adaptive

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Data-Driven Voltage Analysis of an Electric Power Grid via Delay Embedding and Extended Dynamic Mode Decomposition

Lecture Notes in Control and Information Sciences - The Koopman Operator in Systems and Control ◽

10.1007/978-3-030-35713-9_19 ◽

2020 ◽

pp. 507-522

Author(s):

Yoshihiko Susuki ◽

Kyoichi Sako

Keyword(s):

Electric Power ◽

Power Grid ◽

Dynamic Mode Decomposition ◽

Data Driven ◽

Dynamic Mode ◽

Electric Power Grid ◽

Mode Decomposition ◽

Extended Dynamic

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Dynamic mode decomposition via dictionary learning for foreground modeling in videos

Computer Vision and Image Understanding ◽

10.1016/j.cviu.2020.103022 ◽

2020 ◽

Vol 199 ◽

pp. 103022

Author(s):

Israr Ul Haq ◽

Keisuke Fujii ◽

Yoshinobu Kawahara

Keyword(s):

Dictionary Learning ◽

Dynamic Mode Decomposition ◽

Dynamic Mode ◽

Mode Decomposition

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Extended Dynamic Mode Decomposition with Learned Koopman Eigenfunctions for Prediction and Control

2020 American Control Conference (ACC) ◽

10.23919/acc45564.2020.9147729 ◽

2020 ◽

Author(s):

Carl Folkestad ◽

Daniel Pastor ◽

Igor Mezic ◽

Ryan Mohr ◽

Maria Fonoberova ◽

...

Keyword(s):

Dynamic Mode Decomposition ◽

Dynamic Mode ◽

Mode Decomposition ◽

Prediction And Control ◽

And Control ◽

Extended Dynamic

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Data-Based Voltage Analysis of Power Systems via Delay Embedding and Extended Dynamic Mode Decomposition

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2018.11.705 ◽

2018 ◽

Vol 51 (28) ◽

pp. 221-226 ◽

Cited By ~ 3

Author(s):

Yoshihiko Susuki ◽

Kyoichi Sako

Keyword(s):

Power Systems ◽

Dynamic Mode Decomposition ◽

Dynamic Mode ◽

Mode Decomposition ◽

Extended Dynamic

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On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator

Journal of Nonlinear Science ◽

10.1007/s00332-017-9423-0 ◽

2017 ◽

Vol 28 (2) ◽

pp. 687-710 ◽

Cited By ~ 42

Author(s):

Milan Korda ◽

Igor Mezić

Keyword(s):

Dynamic Mode Decomposition ◽

Dynamic Mode ◽

Koopman Operator ◽

Mode Decomposition ◽

Extended Dynamic

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A reduced order method for nonlinear parameterized partial differential equations using dynamic mode decomposition coupled with k-nearest-neighbors regression

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110907 ◽

2021 ◽

pp. 110907

Author(s):

Zhen Gao ◽

Yifan Lin ◽

Xiang Sun ◽

Xueying Zeng

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Nearest Neighbors ◽

Dynamic Mode Decomposition ◽

Dynamic Mode ◽

Order Method ◽

Partial Differential ◽

K Nearest Neighbors ◽

Reduced Order ◽

Mode Decomposition

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Large Eddy Simulation and Extended Dynamic Mode Decomposition of Flow-Flame Interaction in a Lean Premixed Low Swirl Stabilized Flame

Flow Turbulence and Combustion ◽

10.1007/s10494-014-9560-6 ◽

2014 ◽

Vol 93 (3) ◽

pp. 505-519 ◽

Cited By ~ 8

Author(s):

H. Carlsson ◽

C. Carlsson ◽

L. Fuchs ◽

X. S. Bai

Keyword(s):

Large Eddy Simulation ◽

Dynamic Mode Decomposition ◽

Dynamic Mode ◽

Eddy Simulation ◽

Mode Decomposition ◽

Large Eddy ◽

Lean Premixed ◽

Extended Dynamic

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Model predictive control of vehicle dynamics based on the Koopman operator with extended dynamic mode decomposition

2021 22nd IEEE International Conference on Industrial Technology (ICIT) ◽

10.1109/icit46573.2021.9453623 ◽

2021 ◽

Author(s):

Marko Svec ◽

Sandor Iles ◽

Jadranko Matusko

Keyword(s):

Model Predictive Control ◽

Predictive Control ◽

Vehicle Dynamics ◽

Dynamic Mode Decomposition ◽

Dynamic Mode ◽

Koopman Operator ◽

Mode Decomposition ◽

Extended Dynamic

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