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Real-time forecasting from streaming data poses critical challenges: handling non-stationary dynamics, operating under strict computational limits, and adapting rapidly without catastrophic forgetting. However, many existing approaches face…

Machine Learning · Computer Science 2025-10-20 Christopher Salazar , Krithika Manohar , Ashis G. Banerjee

Dynamic mode decomposition (DMD) is a powerful data-driven technique for construction of reduced-order models of complex dynamical systems. Multiple numerical tests have demonstrated the accuracy and efficiency of DMD, but mostly for…

Numerical Analysis · Mathematics 2021-07-28 Hannah Lu , Daniel M. Tartakovsky

We introduce a computationally efficient method for the automation of inverse design in science and engineering. Based on simple least-square regression, the underlying dynamic mode decomposition algorithm can be used to construct a…

Machine Learning · Computer Science 2025-02-14 Yunpeng Zhu , Liangliang Cheng , Anping Jing , Hanyu Huo , Ziqiang Lang , Bo Zhang , J. Nathan Kutz

Irrespective of the fact that Machine learning has produced groundbreaking results, it demands an enormous amount of data in order to perform so. Even though data production has been in its all-time high, almost all the data is unlabelled,…

Computer Vision and Pattern Recognition · Computer Science 2019-10-09 Rahul-Vigneswaran K , Sachin-Kumar S , Neethu Mohan , Soman KP

Dynamic mode decomposition (DMD) is a data-driven technique used for capturing the dynamics of complex systems. DMD has been connected to spectral analysis of the Koopman operator, and essentially extracts spatial-temporal modes of the…

Optimization and Control · Mathematics 2017-09-12 Byron Heersink , Michael A. Warren , Heiko Hoffmann

This paper proposes a gray-box stability analysis mechanism based on data-driven dynamic mode decomposition (DMD) for commercial grid-tied power electronics converters with limited information on its control parameters and topology. By…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Rui Kong , Subham Sahoo , Yubo Song , Frede Blaabjerg

Dynamic Mode Decomposition (DMD) is a data-driven method for approximating the spatiotemporal modes of a system. The eigenvectors and eigenvalues of the system are approximated from a series of time-snapshots of the state variables. The…

Computational Engineering, Finance, and Science · Computer Science 2026-04-17 William Bennett , Ryan G. McClarren , Ethan Smith , Melek Derman

We propose a fully multivariate generalization of multifractal detrended fluctuation analysis (MFDFA) and leverage it to develop a fault diagnosis framework for multichannel machine vibration data. We introduce a novel covariance-weighted…

Signal Processing · Electrical Eng. & Systems 2025-11-27 Khuram Naveed , Naveed ur Rehman

This paper introduces the method of dynamic mode decomposition (DMD) for robustly separating video frames into background (low-rank) and foreground (sparse) components in real-time. The method is a novel application of a technique used for…

Computer Vision and Pattern Recognition · Computer Science 2014-05-01 Jacob Grosek , J. Nathan Kutz

Simulating the dynamics of a nonequilibrium quantum many-body system by computing the two-time Green's function associated with such a system is computationally challenging. However, we are often interested in the time diagonal of such a…

Statistical Mechanics · Physics 2021-07-21 Jia Yin , Yang-hao Chan , Felipe da Jornada , Diana Qiu , Chao Yang , Steven G. Louie

This study presents an integrated methodology for fault detection in wind turbine blades using 3D-printed scaled models, finite element simulations, experimental modal analysis, and machine learning techniques. A scaled model of the NREL…

Machine Learning · Computer Science 2025-05-12 Luis Miguel Esquivel-Sancho , Maryam Ghandchi Tehrani , Mauricio Muñoz-Arias , Mahmoud Askari

The decomposition of oceanic flow into its balanced and unbalanced motions carries theoretical and practical significance for the oceanographic community. These two motions have distinct dynamical characteristics and affect the transport of…

As wind power penetration increases, the wind farms are required by newly released grid codes to provide frequency regulation service. The most critical challenge is how to formulate the dynamic model of wind farm for dynamic control, since…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Zizhen Guo , Wenchuan Wu

Dynamic mode decomposition has emerged as a leading technique to identify spatiotemporal coherent structures from high-dimensional data, benefiting from a strong connection to nonlinear dynamical systems via the Koopman operator. In this…

Systems and Control · Computer Science 2017-12-01 Zhe Bai , Eurika Kaiser , Joshua L. Proctor , J. Nathan Kutz , Steven L. Brunton

Wind energy significantly contributes to the global shift towards renewable energy, yet operational challenges, such as Leading-Edge Erosion on wind turbine blades, notably reduce energy output. This study introduces an advanced, scalable…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Emil Marcus Buchberg , Kent Vugs Nielsen

Vibration-based Structural Health Monitoring (SHM) techniques are among the most common approaches for structural damage identification. The presence of damage in structures may be identified by monitoring the changes in dynamic behavior…

Image and Video Processing · Electrical Eng. & Systems 2018-04-11 Aral Sarrafi , Zhu Mao , Christopher Niezrecki , Peyman Poozesh

The wind energy industry has been experiencing tremendous growth and confronting the failures of wind turbine components. Wind turbine gearbox malfunctions are particularly prevalent and lead to the most prolonged downtime and highest cost.…

Machine Learning · Computer Science 2023-03-08 Jinsong Wang , Kenneth A. Loparo

Many consequential real-world systems, like wind fields and ocean currents, are dynamic and hard to model. Learning their governing dynamics remains a central challenge in scientific machine learning. Dynamic Mode Decomposition (DMD)…

Machine Learning · Computer Science 2025-11-26 Yujin Kim , Sarah Dean

Wind turbine is a complex machine with its rotating and non-rotating equipment being sensitive to faults. Due to increased wear and tear, the maintenance aspect of a wind turbine is of critical importance. Unexpected failure of wind turbine…

Signal Processing · Electrical Eng. & Systems 2022-05-10 Mili Wadhwani , Sakshi Deshmukh , Harsh S. Dhiman

The Dynamic Mode Decomposition (DMD) is a Koopman-based algorithm that straightforwardly isolates individual mechanisms from the compound morphology of direct measurement. However, many may be perplexed by the messages the DMD structures…

Fluid Dynamics · Physics 2021-12-03 Cruz Y. Li , Tim K. T. Tse , Gang Hu , Lei Zhou