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3,325 Results Found

  • Article
  • Open Access
6 Citations
4,873 Views
16 Pages

1 December 2022

Dynamic mode decomposition (DMD) is a data-driven, modal decomposition technique that describes spatiotemporal features of high-dimensional dynamic data. The method is equation-free in the sense that it does not require knowledge of the underlying go...

(This article belongs to the Special Issue Mathematical Modeling and Study of Nonlinear Dynamic Processes)
  • Article
  • Open Access
13 Citations
5,165 Views
14 Pages

11 April 2023

Higher-order dynamic mode decomposition (HODMD) has proved to be an efficient tool for the analysis and prediction of complex dynamical systems described by data-driven models. In the present paper, we propose a realization of HODMD that is based on...

(This article belongs to the Special Issue Mathematical Modeling, Optimization and Machine Learning)
  • Article
  • Open Access
1 Citations
2,855 Views
13 Pages

Dynamic mode decomposition with control (DMDc) is a widely used technique for analyzing dynamic systems influenced by external control inputs. It is a recent development and an extension of dynamic mode decomposition (DMD) tailored for input–ou...

  • Article
  • Open Access
18 Citations
4,942 Views
26 Pages

20 December 2021

Turbulent mixing layers are canonical flow in nature and engineering, and deserve comprehensive studies under various conditions using different methods. In this paper, turbulent mixing layers are investigated using large eddy simulation and dynamic...

(This article belongs to the Collection Application of Computational Fluid Dynamics in Mechanical Engineering)
  • Article
  • Open Access
10 Citations
6,000 Views
14 Pages

Dynamic Mode Decomposition with Control is a powerful technique for analyzing and modeling complex dynamical systems under the influence of external control inputs. In this paper, we propose a novel approach to implement this technique that offers co...

(This article belongs to the Section Computational Engineering)
  • Article
  • Open Access
11 Citations
5,313 Views
18 Pages

4 March 2024

Spatio-temporal dynamic mode decomposition (STDMD) is an extension of dynamic mode decomposition (DMD) designed to handle spatio-temporal datasets. It extends the framework so that it can analyze data that have both spatial and temporal variations. T...

(This article belongs to the Special Issue Advances in Study of Time-Delay Systems and Their Applications, 2nd Edition)
  • Article
  • Open Access
34 Citations
5,137 Views
12 Pages

Moving Target Detection Using Dynamic Mode Decomposition

  • Jingwei Yin,
  • Bing Liu,
  • Guangping Zhu and
  • Zhinan Xie

15 October 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. The multiframe data containing the target echo and...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
58 Citations
5,155 Views
22 Pages

15 September 2018

Decomposition-based multi-objective evolutionary algorithms provide a good framework for static multi-objective optimization. Nevertheless, there are few studies on their use in dynamic optimization. To solve dynamic multi-objective optimization prob...

(This article belongs to the Special Issue Applied Sciences Based on and Related to Computer and Control)
  • Article
  • Open Access
43 Citations
9,876 Views
14 Pages

Dynamic Mode Decomposition of Fast Pressure Sensitive Paint Data

  • Mohd Y. Ali,
  • Anshuman Pandey and
  • James W. Gregory

11 June 2016

Fast-response pressure sensitive paint (PSP) is used in this work to measure and analyze the acoustic pressure field in a rectangular cavity. The high spatial resolution and fast frequency response of PSP effectively captures the spatial and temporal...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
1 Citations
2,052 Views
19 Pages

8 September 2024

Understanding the spatiotemporal dynamics of atmospheric PM2.5 concentration is highly challenging due to its evolution processes have complex and nonlinear patterns. Traditional mode decomposition methods struggle to accurately capture the mode feat...

(This article belongs to the Section Air Quality)
  • Article
  • Open Access
4 Citations
3,562 Views
13 Pages

28 January 2022

Dynamic mode decomposition (DMD) is a popular data-driven framework to extract linear dynamics from complex high-dimensional systems. In this work, we study the system identification properties of DMD. We first show that DMD is invariant under linear...

(This article belongs to the Special Issue Identification, Knowledge Engineering and Digital Modeling for Adaptive and Intelligent Control)
  • Article
  • Open Access
7 Citations
1,783 Views
22 Pages

Higher-Order Dynamic Mode Decomposition to Identify Harmonics in Power Systems

  • Aboubacar Abdou Dango,
  • Innocent Kamwa,
  • Himanshu Grover,
  • Alexia N’Dori and
  • Alireza Masoom

9 October 2025

The proliferation of renewable energy sources and distributed generation systems interfaced to the grid by power electronics systems is forcing us to better understand the issues arising due to the quality of electrical signals generated through thes...

(This article belongs to the Special Issue Energy, Electrical and Power Engineering: 4th Edition)
  • Article
  • Open Access
2 Citations
2,286 Views
12 Pages

28 August 2025

To address the issue of low accuracy in the dynamic modal decomposition (DMD) method used for operational modal analysis (OMA) under noise conditions of aerospace structures, an enhanced identification approach is proposed in this paper, which integr...

  • Feature Paper
  • Article
  • Open Access
4 Citations
2,215 Views
18 Pages

22 February 2025

Dynamic mode decomposition (DMD) is a powerful data-driven tool for analyzing complex systems that has gained significant attention in various scientific and engineering disciplines. It is suitable for the analysis of flow structures in numerical and...

(This article belongs to the Special Issue New Trends and Developments in Numerical Analysis: 2nd Edition)
  • Article
  • Open Access
16 Citations
4,918 Views
23 Pages

Dynamic Mode Decomposition Analysis of Spatially Agglomerated Flow Databases

  • Binghua Li,
  • Jesús Garicano-Mena,
  • Yao Zheng and
  • Eusebio Valero

28 April 2020

Dynamic Mode Decomposition (DMD) techniques have risen as prominent feature identification methods in the field of fluid dynamics. Any of the multiple variables of the DMD method allows to identify meaningful features from either experimental or nume...

(This article belongs to the Special Issue Machine-Learning Methods for Complex Flows)
  • Article
  • Open Access
699 Views
20 Pages

23 September 2025

Traditional centralized modeling and fault detection methods for large-scale industrial processes have limitations, including a significant computational load and reduced performance. To address these issues, this paper proposes a distributed dynamic...

(This article belongs to the Section Process Control, Modeling and Optimization)
  • Article
  • Open Access
8 Citations
3,930 Views
17 Pages

4 November 2021

A data-driven analysis method known as dynamic mode decomposition (DMD) approximates the linear Koopman operator on a projected space. In the spirit of Johnson–Lindenstrauss lemma, we will use a random projection to estimate the DMD modes in a reduce...

(This article belongs to the Special Issue Dynamical Systems and Operator Theory)
  • Article
  • Open Access
6 Citations
2,160 Views
23 Pages

11 December 2024

Traditional flow field modeling methods are limited by high computational complexity, making them difficult to apply in practical engineering. This study applies the Dynamic Mode Decomposition (DMD) method to perform reduced-order modeling of unstead...

(This article belongs to the Section Aeronautics)
  • Article
  • Open Access
36 Citations
7,108 Views
15 Pages

19 June 2018

To solve the intractable problems of optimal rank truncation threshold and dominant modes selection strategy of the standard dynamic mode decomposition (DMD), an improved DMD algorithm is introduced in this paper. Distinct from the conventional metho...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
4 Citations
4,276 Views
25 Pages

Blind Source Separation (BSS) is a significant field of study in signal processing, with many applications in various fields such as audio processing, speech recognition, biomedical signal analysis, image processing and communication systems. Traditi...

(This article belongs to the Special Issue Mathematical Modeling and Study of Nonlinear Dynamic Processes)
  • Article
  • Open Access
657 Views
26 Pages

15 May 2026

Transient analyses of liquid-fueled molten salt reactors involve strong coupling among neutronics, delayed neutron precursor transport, thermal–hydraulics, and solid heat transfer, leading to high computational costs for repeated high-fidelity...

(This article belongs to the Section B4: Nuclear Energy)
  • Article
  • Open Access
8 Citations
3,158 Views
16 Pages

Modal Analysis of the Human Brain Using Dynamic Mode Decomposition

  • Jayse McLean,
  • Mehran Fereydoonpour,
  • Mariusz Ziejewski and
  • Ghodrat Karami

The majority of observations and criteria related to brain injuries predominantly focus on acceleration and forces, leaving the understanding of the brain in the frequency domain relatively limited. The impact of an injury can be more profound when c...

(This article belongs to the Special Issue Biomechanics Analysis in Tissue Engineering)
  • Article
  • Open Access
19 Citations
5,821 Views
18 Pages

Pattern Recognition in Epileptic EEG Signals via Dynamic Mode Decomposition

  • Jong-Hyeon Seo,
  • Ichiro Tsuda,
  • Young Ju Lee,
  • Akio Ikeda and ,
  • Masao Matsuhashi,
  • Riki Matsumoto,
  • Takayuki Kikuchi and
  • Hunseok Kang
  • + 3 authors+ 0 author

1 April 2020

In this paper, we propose a new method based on the dynamic mode decomposition (DMD) to find a distinctive contrast between the ictal and interictal patterns in epileptic electroencephalography (EEG) data. The features extracted from the method of DM...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
8 Citations
4,294 Views
16 Pages

Dynamic Denoising and Gappy Data Reconstruction Based on Dynamic Mode Decomposition and Discrete Cosine Transform

  • Mojtaba F. Fathi,
  • Ali Bakhshinejad,
  • Ahmadreza Baghaie and
  • Roshan M. D’Souza

1 September 2018

Dynamic Mode Decomposition (DMD) is a data-driven method to analyze the dynamics, first applied to fluid dynamics. It extracts modes and their corresponding eigenvalues, where the modes are spatial fields that identify coherent structures in the flow...

  • Article
  • Open Access
1 Citations
1,023 Views
20 Pages

17 February 2026

Sweeping jet actuators (SJAs) are promising for active flow control in aerospace systems, but integrating actuator-resolved unsteady CFD into full-configuration simulations is often impractical due to small geometric scales and O(102) Hz oscillations...

(This article belongs to the Section Aeronautics)
  • Article
  • Open Access
12 Citations
7,393 Views
19 Pages

27 February 2018

Dynamic mode decomposition (DMD) is essentially a hybrid algorithm based on mode decomposition and singular value decomposition, and it inevitably inherits the drawbacks of these two algorithms, including the selection strategy of truncated rank orde...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
13 Citations
4,737 Views
11 Pages

A Path Planning Algorithm for a Dynamic Environment Based on Proper Generalized Decomposition

  • Antonio Falcó,
  • Lucía Hilario,
  • Nicolás Montés,
  • Marta C. Mora and
  • Enrique Nadal

19 December 2020

A necessity in the design of a path planning algorithm is to account for the environment. If the movement of the mobile robot is through a dynamic environment, the algorithm needs to include the main constraint: real-time collision avoidance. This ki...

(This article belongs to the Special Issue Computer Aided Geometric Design)
  • Article
  • Open Access
7 Citations
2,872 Views
21 Pages

Equivalent Identification of Distributed Random Dynamic Load by Using K–L Decomposition and Sparse Representation

  • Kun Li,
  • Yue Zhao,
  • Zhuo Fu,
  • Chenghao Tan and ,
  • Xianfeng Man and
  • Chi Liu
  • + 1 author+ 0 author

26 April 2022

By aiming at the common distributed random dynamic loads in engineering practice, an equivalent identification method that is based on K–L decomposition and sparse representation is proposed. Considering that the establishment of a probability...

(This article belongs to the Section Machine Design and Theory)
  • Article
  • Open Access
1 Citations
2,831 Views
33 Pages

This study investigates the connection between coherent structures in the flow around a vehicle and the aerodynamic forces acting on its body. Dynamic Mode Decomposition (DMD) was applied to analyze the flow field of a squareback Ahmed body at ReH=7....

  • Article
  • Open Access
14 Citations
3,890 Views
23 Pages

19 March 2019

As there are more and more available Web services with the same or similar functionalities but different Quality of Service (QoS), the challenge of QoS-aware service composition is to efficiently select appropriate component services to achieve maxim...

(This article belongs to the Special Issue Multi-Criteria Decision Aid methods in fuzzy decision problems)
  • Article
  • Open Access
8 Citations
3,613 Views
12 Pages

30 May 2024

Accelerometers are commonly used to measure vibrations for condition monitoring in mechanical and civil structures; however, their high cost and point-based measurement approach present practical limitations. With rapid advancements in computer visio...

(This article belongs to the Section Sensing and Imaging)
  • Article
  • Open Access
1 Citations
1,191 Views
29 Pages

Research on Internal Instability Characteristics of Centrifugal Impeller Based on Dynamic Mode Decomposition

  • Xiaoping Fan,
  • Zhuhai Zhong,
  • Hongfen Chen,
  • Yang Chen and ,
  • Meng Wang and
  • Xiaodong Lu
  • + 1 author+ 0 author

19 September 2025

Nitrogen compression requires centrifugal compressors to operate under relatively high ambient pressure. However, the internal instability characteristics of compressors handling high-density working fluids remain unclear. Therefore, this study emplo...

  • Proceeding Paper
  • Open Access
2,014 Views
3 Pages

Ecosystem respiration (Reco) represents a major component of the global carbon cycle. An accurate estimation of Reco dynamics is necessary for a better understanding of ecosystem–climate interactions and the impact of climate extremes on ecosys...

(This article belongs to the Proceedings of The 8th International Conference on Time Series and Forecasting)
  • Article
  • Open Access
3 Citations
1,224 Views
28 Pages

The dynamic mode decomposition serves as a useful tool for the coherent structure extraction of the complex flow fields with characteristic frequency identification, but the phase information of the flow modes is paid less attention to. In this study...

(This article belongs to the Special Issue Structural Dynamics Modelling, Aeroelastic Analysis and Experimental Verification Methods for Aircraft Systems)
  • Article
  • Open Access
2 Citations
3,729 Views
46 Pages

2 September 2024

Cell-Free Massive Multiple-Input–Multiple-Output (CF-MIMO) systems have transformed the landscape of wireless communication, offering unparalleled enhancements in Spectral Efficiency and interference mitigation. Nevertheless, the large-scale de...

  • Article
  • Open Access
35 Citations
4,956 Views
21 Pages

10 December 2020

The high dimensions and governing non-linear dynamics in wind farm systems make the design of numerical optimal controllers computationally expensive. A possible pathway to circumvent this challenge lies in finding reduced order models which can accu...

(This article belongs to the Section A3: Wind, Wave and Tidal Energy)
  • Article
  • Open Access
5 Citations
3,390 Views
21 Pages

Evaluation of the Regions of Attraction of Higher-Dimensional Hyperbolic Systems Using Extended Dynamic Mode Decomposition

  • Camilo Garcia-Tenorio,
  • Duvan Tellez-Castro,
  • Eduardo Mojica-Nava and
  • Alain Vande Wouwer

4 February 2023

This paper provides the theoretical foundation for the approximation of the regions of attraction in hyperbolic and polynomial systems based on the eigenfunctions deduced from the data-driven approximation of the Koopman operator. In addition, it sho...

(This article belongs to the Special Issue Anniversary Feature Papers-2022)
  • Abstract
  • Open Access
1,279 Views
2 Pages

Analysis and Prediction of Postprandial Metabolic Response to Multiple Dietary Challenges Using Dynamic Mode Decomposition

  • Viktor Skantze,
  • Mats Jirstrand,
  • Carl Brunius,
  • Ann-Sofie Sandberg and ,
  • Rikard Landberg and
  • Mikael Wallman
  • + 1 author+ 0 author

Background: In the field of precision nutrition, predicting high-dimensional metabolic response to diet and identifying groups of differential responders are two highly desirable steps towards developing tailored dietary strategies. However, proper d...

(This article belongs to the Proceedings of The 14th European Nutrition Conference FENS 2023)
  • Article
  • Open Access
4 Citations
2,610 Views
18 Pages

28 September 2022

As carbon intensity (CI) can better reflect the coordinated relationship between carbon emissions and economic growth, the related research has gradually increased in recent years. To better explore the influence of production technology and spatial...

(This article belongs to the Special Issue The Impact of Carbon Emission Control on Economic Costs and Human Health in China)
  • Article
  • Open Access
1 Citations
1,537 Views
21 Pages

Ghost-Free HDR Imaging in Dynamic Scenes via High–Low-Frequency Decomposition

  • Xiang Zhang,
  • Genggeng Chen,
  • Fan Zhang and
  • Yongzhong Zhang

17 November 2025

Generating high-quality high-dynamic-range (HDR) images in dynamic scenes remains a challenging task. Recently, Transformers have been introduced into HDR imaging and have demonstrated superior performance over traditional convolutional neural networ...

(This article belongs to the Special Issue Artificial Intelligence in Computer Vision: Methods and Applications—2nd Edition)
  • Article
  • Open Access
5 Citations
2,347 Views
18 Pages

Research on the Flow-Induced Vibration of Cylindrical Structures Using Lagrangian-Based Dynamic Mode Decomposition

  • Xueji Shi,
  • Zhongxiang Liu,
  • Tong Guo,
  • Wanjin Li and ,
  • Zhiwei Niu and
  • Feng Ling
  • + 1 author+ 0 author

An oscillating flow past a structure represents a complex, high-dimensional, and nonlinear flow phenomenon, which can lead to the failure of structures due to material fatigue or constraint relaxation. In order to better understand flow-induced vibra...

(This article belongs to the Section Ocean Engineering)
  • Article
  • Open Access
1 Citations
1,134 Views
34 Pages

1 May 2026

Accurate forecasting of sediment accumulation under extreme hydrodynamic forcing is essential for coastal engineering design and harbor management. This study evaluates the performance of Dynamic Mode Decomposition (DMD), optimized DMD (optDMD), and...

(This article belongs to the Section Hydrology)
  • Article
  • Open Access
10 Citations
4,611 Views
24 Pages

6 December 2024

Accurate and reliable runoff forecasting is of great significance for hydropower station operation and watershed water resource allocation. However, various complex factors, such as climate conditions and human activities, constantly affect the forma...

(This article belongs to the Section Hydraulics and Hydrodynamics)
  • Article
  • Open Access
4 Citations
1,957 Views
22 Pages

13 August 2025

Infrared-visible image fusion quality is critical for nighttime perception in autonomous driving and surveillance but suffers severe degradation under extreme low-light conditions, including irreversible texture loss in visible images, thermal bounda...

(This article belongs to the Section Optics and Lasers)
  • Article
  • Open Access
7 Citations
3,578 Views
23 Pages

Motion Saliency Detection for Surveillance Systems Using Streaming Dynamic Mode Decomposition

  • Thien-Thu Ngo,
  • VanDung Nguyen,
  • Xuan-Qui Pham,
  • Md-Alamgir Hossain and
  • Eui-Nam Huh

21 August 2020

Intelligent surveillance systems enable secured visibility features in the smart city era. One of the major models for pre-processing in intelligent surveillance systems is known as saliency detection, which provides facilities for multiple tasks suc...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
6 Citations
3,392 Views
24 Pages

In this paper, a novel data-driven approach for the development of soft sensors (SSs) for multi-step-ahead prediction of industrial process variables is proposed. This method is based on the recent developments in Koopman operator theory and dynamic...

(This article belongs to the Section Systems & Control Engineering)
  • Article
  • Open Access
2,838 Views
12 Pages

9 February 2025

I propose a data-driven surrogate model for the In-Medium Similarity Renormalization Group (IMSRG) method using Dynamic Mode Decomposition (DMD). First, the Magnus formulation of the IMSRG is leveraged to represent the unitary transformation of many-...

(This article belongs to the Section Nuclear and Hadronic Theory)
  • Article
  • Open Access
1 Citations
1,605 Views
20 Pages

17 July 2025

With the development of digital power systems, the establishment of digital twin models for transformers is of great significance in enhancing power system stability. Consequently, greater demands are placed on the real-time performance and accuracy...

(This article belongs to the Section Chemical Processes and Systems)
  • Article
  • Open Access
6 Citations
4,325 Views
19 Pages

21 July 2022

The purpose of this paper is the identification of high-fidelity digital twin data models from numerical code outputs by non-intrusive techniques (i.e., not requiring Galerkin projection of the governing equations onto the reduced modes basis). In th...

  • Article
  • Open Access
4 Citations
4,935 Views
17 Pages

17 February 2023

The quest for the physical mechanisms underlying turbulent high-speed jet flows is underpinned by the extraction of spatio-temporal coherent structures from their flow fields. Experimental measurements to enable data decomposition need to comprise ti...

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