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Delay-coordinates dynamic mode decomposition (DC-DMD) is widely used to extract coherent spatiotemporal modes from high-dimensional time series. A central challenge is distinguishing dynamically meaningful modes from spurious modes induced…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Yoav Harris , Hadas Benisty , Ronen Talmon

A recently developed Projection-based Digital Image Correlation (P-DVC) method is here extended to 4D (space and time) displacement field measurement and mechanical identification based on a single radiograph per loading step instead of…

Computational Physics · Physics 2019-05-23 Clément Jailin , Ante Buljac , Amine Bouterf , François Hild , Stéphane Roux

A dynamic mode decomposition (DMD) based reduced-order model (ROM) is developed for tracking, detection, and prediction of kinetic plasma behavior. DMD is applied to the high-fidelity kinetic plasma model based on the electromagnetic…

Plasma Physics · Physics 2021-09-16 Indranil Nayak , Mrinal Kumar , Fernando L. Teixeira

We consider the identification of heterogeneous linear elastic moduli in the context of time-harmonic elastodynamics. This inverse problem is formulated as the minimization of the modified error in constitutive equation (MECE), an…

Analysis of PDEs · Mathematics 2018-12-11 Wilkins Aquino , Marc Bonnet

The characterization of intermittent, multiscale and transient dynamics using data-driven analysis remains an open challenge. We demonstrate an application of the Dynamic Mode Decomposition (DMD) with sparse sampling for the diagnostic…

Dynamical Systems · Mathematics 2020-05-18 Krithika Manohar , Eurika Kaiser , Steven L. Brunton , J. Nathan Kutz

The purpose of this article is to develop the dimension reduction techniques in panel data analysis when the number of individuals and indicators is large. We use Principal Component Analysis (PCA) method to represent large number of…

Methodology · Statistics 2017-01-10 Guobin Fang , Kani Chen , Bo Zhang

The DMD (Dynamic Mode Decomposition) method has attracted widespread attention as a representative modal-decomposition method and can build a predictive model. However, the DMD may give predicted results that deviate from physical reality…

Computational Physics · Physics 2023-11-29 Yuhui Yin , Chenhui Kou , Shengkun Jia , Lu Lu , Xigang Yuan , Yiqing Luo

Detrended fluctuation analysis (DFA) is a simple but very efficient method for investigating the power-law long-term correlations of non-stationary time series, in which a detrending step is necessary to obtain the local fluctuations at…

Statistical Mechanics · Physics 2011-09-09 Xi-Yuan Qian , Wei-Xing Zhou , Gao-Feng Gu

The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningful insight into the temporal behaviour can be obtained by…

Numerical Analysis · Mathematics 2024-04-04 Miha Rot , Martin Horvat , Gregor Kosec

Over the last decades, progress in modal analysis has enabled increasingly routine use of modal parameters for applications such as structural health monitoring and finite element model updating. For output-only identification, or…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Gabriele Dessena , Marco Civera , Oscar E. Bonilla-Manrique

Multimodal Sentiment Analysis (MSA) aims to infer human sentiment by integrating information from multiple modalities such as text, audio, and video. In real-world scenarios, however, the presence of missing modalities and noisy signals…

Multimedia · Computer Science 2025-11-14 Yan Zhuang , Minhao Liu , Yanru Zhang , Jiawen Deng , Fuji Ren

Measuring sediment transport in riverbeds has long been a challenging research problem in geomorphology and river engineering. Traditional approaches rely on direct measurements using sediment samplers. Although such measurements are often…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Shakib Mustavee , Arvind Singh , Shaurya Agarwal

Physically interpretable models are essential for next-generation industrial systems, as these representations enable effective control, support design validation, and provide a foundation for monitoring strategies. The aim of this paper is…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Maarten van der Hulst , Rodrigo A. González , Koen Classens , Paul Tacx , Nick Dirkx , Jeroen van de Wijdeven , Tom Oomen

Dynamic mode decomposition (DMD) is a data-driven method of extracting spatial-temporal coherent modes from complex systems and providing an equation-free architecture to model and predict systems. However, in practical applications, the…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Ningxin Liu , Shuigen Liu , Xin T. Tong , Lijian Jiang

In this two-part article, we evaluate the utility and the generalizability of the Dynamic Mode Decomposition (DMD) algorithm for data-driven analysis and reduced-order modelling of plasma dynamics in cross-field ExB configurations. The DMD…

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

Dynamic mode decomposition (DMD) provides a principled approach to extract physically interpretable spatial modes from time-resolved flow field data, along with a linear model for how the amplitudes of these modes evolve in time. Recently,…

Fluid Dynamics · Physics 2020-07-29 Aditya G. Nair , Benjamin Strom , Bingni W. Brunton , Steven L. Brunton

Modern modeling languages for general physical systems, such as Modelica, Amesim, or Simscape, rely on Differential Algebraic Equations (DAEs), i.e., constraints of the form f(\dot{x},x,u)=0. This drastically facilitates modeling from first…

Programming Languages · Computer Science 2021-01-20 Albert Benveniste , Benoît Caillaud , Mathias Malandain

We demonstrate that the integration of the recently developed dynamic mode decomposition (DMD) with a multi-resolution analysis allows for a decomposition method capable of robustly separating complex systems into a hierarchy of…

Dynamical Systems · Mathematics 2015-06-02 J. Nathan Kutz , Xing Fu , Steven L. Brunton

Depth completion in dynamic scenes poses significant challenges due to rapid ego-motion and object motion, which can severely degrade the quality of input modalities such as RGB images and LiDAR measurements. Conventional RGB-D sensors…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Zhiqiang Yan , Jianhao Jiao , Zhengxue Wang , Gim Hee Lee

The Dynamic-Mode Decomposition (DMD) is a well established data-driven method of finding temporally evolving linear-mode decompositions of nonlinear time series. Traditionally, this method presumes that all relevant dimensions are sampled…

Dynamical Systems · Mathematics 2021-01-13 Christopher W. Curtis , Daniel Jay Alford-Lago