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This paper presents unifying results for subspace identification (SID) and dynamic mode decomposition (DMD) for autonomous dynamical systems. We observe that SID seeks to solve an optimization problem to estimate an extended observability…

Systems and Control · Electrical Eng. & Systems 2020-03-18 Sungho Shin , Qiugang Lu , Victor M. Zavala

We propose a novel change-point detection method based on online Dynamic Mode Decomposition with control (ODMDwC). Leveraging ODMDwC's ability to find and track linear approximation of a non-linear system while incorporating control…

Artificial Intelligence · Computer Science 2024-08-20 Marek Wadinger , Michal Kvasnica , Yoshinobu Kawahara

Modal decomposition techniques are important tools for the analysis of unsteady flows and, in order to provide meaningful insights with respect to coherent structures and their characteristic frequencies, the modes must possess a robust…

Fluid Dynamics · Physics 2023-08-24 Lucas F. de Souza , Renato F. Miotto , William R. Wolf

We present a novel acceleration technique for improving the convergence of source iteration for discrete ordinates transport calculations. Our approach uses the idea of the dynamic mode decomposition (DMD) to estimate the slowly decaying…

Computational Physics · Physics 2018-12-14 Ryan G. McClarren , Terry S. Haut

We present a sparse sensing framework based on Dynamic Mode Decomposition (DMD) to identify flow regimes and bifurcations in large-scale thermo-fluid systems. Motivated by real-time sensing and control of thermal-fluid flows in buildings…

Dynamical Systems · Mathematics 2017-06-26 Boris Kramer , Piyush Grover , Petros Boufounos , Mouhacine Benosman , Saleh Nabi

This paper presents an approach based on higher order dynamic mode decomposition (HODMD) to model, analyse, and forecast energy behaviour in an urban agriculture farm situated in a retrofitted London underground tunnel, where observed…

Machine Learning · Computer Science 2023-06-28 Zack Xuereb Conti , Rebecca Ward , Ruchi Choudhary

Linear Parameter Varying (LPV) Systems are a well-established class of nonlinear systems with a rich theory for stability analysis, control, and analytical response finding, among other aspects. Although there are works on data-driven…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Jean Panaioti Jordanou , Eduardo Camponogara , Eduardo Gildin

We introduce an approach for damage detection in gearboxes based on the analysis of sensor data with the multi-resolution dynamic mode decomposition (mrDMD). The application focus is the condition monitoring of wind turbine gearboxes under…

Signal Processing · Electrical Eng. & Systems 2022-03-23 Paolo Climaco , Jochen Garcke , Rodrigo Iza-Teran

A novel data-driven modal decomposition of fluid flow is proposed comprising key features of POD and DMD. The first mode is the normalized real or imaginary part of the DMD mode which minimizes the time-averaged residual. The N-th mode is…

Fluid Dynamics · Physics 2015-11-24 B. R. Noack , W. Stankiewicz , M. Morzynski , P. J. Schmid

In part I of the article, we demonstrated that a variant of the Dynamic Mode Decomposition (DMD) algorithm based on variable projection optimization, called Optimized DMD (OPT-DMD), enables a robust identification of the dominant…

Plasma Physics · Physics 2023-08-29 Farbod Faraji , Maryam Reza , Aaron Knoll , J. Nathan Kutz

Quantum computing is an advancing area of research in which computer hardware and algorithms are developed to take advantage of quantum mechanical phenomena. In recent studies, quantum algorithms have shown promise in solving linear systems…

Computational Physics · Physics 2023-06-16 Katherine Asztalos , René Steijl , Romit Maulik

Designing faster optimization algorithms is of ever-growing interest. In recent years, learning to learn methods that learn how to optimize demonstrated very encouraging results. Current approaches usually do not effectively include the…

Machine Learning · Computer Science 2022-12-01 Petr Šimánek , Daniel Vašata , Pavel Kordík

Functional brain dynamics is supported by parallel and overlapping functional network modes that are associated with specific neural circuits. Decomposing these network modes from fMRI data and finding their temporal characteristics is…

Artificial Intelligence · Computer Science 2023-12-08 Md Asadullah Turja , Martin Styner , Guorong Wu

Structural damage detection using non-contact sensing remains a challenging problem in structural health monitoring. This study presents a data-driven framework based on Dynamic Mode Decomposition (DMD) for extracting structural dynamics…

Systems and Control · Electrical Eng. & Systems 2026-05-05 R K B M Rizmi , Shabbir Ahmed

Modeling wave energy converters (WECs) to accurately predict their hydrodynamic behavior has been a challenge for the wave energy field. Often, this results in either low-fidelity, linear models that break down in energetic seas, or…

Fluid Dynamics · Physics 2023-06-07 Brittany Lydon , Brian Polagye , Steven Brunton

Radiation-induced photocurrent in semiconductor devices can be simulated using complex physics-based models, which are accurate, but computationally expensive. This presents a challenge for implementing device characteristics in high-level…

Computational Physics · Physics 2020-08-31 Joshua Hanson , Pavel Bochev , Biliana Paskaleva

Current design constraints have encouraged the studies of aeroacoustic fields around compressible jet flows. The present work addresses the numerical study of unsteady turbulent jet flows as a preparation for future aeroacoustic analyses of…

Fluid Dynamics · Physics 2023-01-13 Sami Yamouni , Carlos Junqueira-Junior , Joao Luiz F. Azevedo , William R. Wolf

The Dynamic Mode Decomposition has proved to be a very efficient technique to study dynamic data. This is entirely a data-driven approach that extracts all necessary information from data snapshots which are commonly supposed to be sampled…

Numerical Analysis · Mathematics 2023-02-01 Aleksandr Katrutsa , Sergey Utyuzhnikov , Ivan Oseledets

Balanced data is required for deep neural networks (DNNs) when learning to perform power system stability assessment. However, power system measurement data contains relatively few events from where power system dynamics can be learnt. To…

Signal Processing · Electrical Eng. & Systems 2024-06-14 Tetiana Bogodorova , Denis Osipov , Luigi Vanfretti

Dynamic Mode Decomposition (DMD) describes complex dynamic processes through a hierarchy of simpler coherent features. DMD is regularly used to understand the fundamental characteristics of turbulence and is closely related to Koopman…

Fluid Dynamics · Physics 2023-02-01 Matthew J. Colbrook , Lorna J. Ayton , Máté Szőke
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