Extended dynamic mode decomposition for cyclic macroeconomic data
Data Science in Finance and Economics, 2022 <abstract><p>We apply methods from the Koopman operator theory, Extended Dynamic Mode Decomposition and machine learning in the study of business cycle models. We use a simple non-linear dynamical system whose main merit is that in the appropriate parameter space sector predicts intrinsically business cycles which in the phase space are ...
John Leventides +2 more
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Analysis of the ROA of an anaerobic digestion process via data-driven Koopman operator
Nonlinear Engineering, 2021 Nonlinear biochemical systems such as the anaerobic digestion process experience the problem of the multi-stability phenomena, and thus, the dynamic spectrum of the system has several undesired equilibrium states.
Garcia-Tenorio Camilo +3 more
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A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition [PDF]
Journal of Nonlinear Science, 2015 The Koopman operator is a linear but infinite dimensional operator that governs the evolution of scalar observables defined on the state space of an autonomous dynamical system, and is a powerful tool for the analysis and decomposition of nonlinear dynamical systems.
Matthew O. Williams +2 more
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Extended dynamic mode decomposition for two paradigms of non-linear dynamical systems
Journal of the Franklin Institute, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John Leventides +2 more
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Data-Driven Predictive Control of Interconnected Systems Using the Koopman Operator
Actuators, 2022 Interconnected systems are widespread in modern technological systems. Designing a reliable control strategy requires modeling and analysis of the system, which can be a complicated, or even impossible, task in some cases.
Duvan Tellez-Castro +4 more
doaj +1 more source
Wide-bandwidth mode-hop-free tuning of extended-cavity GaN diode lasers [PDF]
, 2005 We present a new approach for extended-cavity diode-laser tuning to achieve wide mode-hop-free tuning ranges. By using a multiple piezoactuated grating mount, the cavity length and grating angle in the laser can be adjusted independently, allowing mode ...
Burns, I.S., Kaminski, C.F., Hult, J.
core +4 more sources
IEEE Access, 2022 This paper presents an active disturbance rejection control (ADRC) method for modular robot manipulators (MRMs) based on extended state observer (ESO), which solves the problem of trajectory tracking when modular robot manipulators facing the emotional ...
Xiao Pang +3 more
doaj +1 more source
Correction of blink artifacts using independent component analysis and empirical mode decomposition. [PDF]
Blink-related ocular activity is a major source of artifacts in electroencephalogram (EEG) data. Independent component analysis (ICA) is a well-known technique for the correction of such ocular artifacts, but one of the limitations of ICA is that the ICs
Bhattacharya, Joydeep, Lindsen, Job P.
core +8 more sources
Analyse des modes empiriques : une approche EDP [PDF]
, 2010 The empirical mode decomposition is a powerful tool for signal processing. Because of its original algorithmic, recent works have contributed to its theoretical framework.
DIOP, El Hadji +2 more
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Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems
Mathematics, 2021 We consider the Koopman operator theory in the context of nonlinear infinite-dimensional systems, where the operator is defined over a space of bounded continuous functionals. The properties of the Koopman semigroup are described and a finite-dimensional
Alexandre Mauroy
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