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We present Latent Diffeomorphic Dynamic Mode Decomposition (LDDMD), a new data reduction approach for the analysis of non-linear systems that combines the interpretability of Dynamic Mode Decomposition (DMD) with the predictive power of…

机器学习 · 计算机科学 2025-08-04 Willem Diepeveen , Jon Schwenk , Andrea Bertozzi

Dynamic mode decomposition (DMD) has recently become a popular tool for the non-intrusive analysis of dynamical systems. Exploiting Proper Orthogonal Decomposition (POD) as a dimensionality reduction technique, DMD is able to approximate a…

数值分析 · 数学 2024-01-17 Francesco Andreuzzi , Nicola Demo , Gianluigi Rozza

We report a new approach to estimating power system inertia directly from time-series data on power system dynamics. The approach is based on the so-called Koopman Mode Decomposition (KMD) of such dynamic data, which is a nonlinear…

信号处理 · 电气工程与系统科学 2020-10-01 Yoshihiko Susuki , Ryo Hamasaki , Atsushi Ishigame

In this paper, we study phase-amplitude multivariable dynamics in converter-based power systems from a complex-frequency perspective. Complex frequency represents the rate of change of voltage amplitude and phase angle by its real and…

系统与控制 · 电气工程与系统科学 2024-07-03 Xiuqiang He , Verena Häberle , Florian Dörfler

Dynamic mode decomposition (DMD) is a powerful and increasingly popular tool for performing spectral analysis of fluid flows. However, it requires data that satisfy the Nyquist-Shannon sampling criterion. In many fluid flow experiments,…

流体动力学 · 物理学 2014-09-17 Jonathan H. Tu , Clarence W. Rowley , J. Nathan Kutz , Jessica K. Shang

Experimental Modal Analysis (EMA) has been widely used to identify structural dynamic properties, including natural frequencies, damping ratios, and mode shapes, for structural integrity assessment. The Poly-reference Least Squares Complex…

系统与控制 · 电气工程与系统科学 2026-03-24 Yanxin Si , Bayu Jayawardhana , J. Nathan Kutz , Yunpeng Zhu , Liangliang Cheng

A novel method to compute time eigenvalues of neutron transport problems is presented based on solutions to the time dependent transport equation. Using these solutions we use the dynamic mode decomposition (DMD) to form an approximate…

计算物理 · 物理学 2019-02-11 Ryan G. McClarren

Extended dynamic mode decomposition (EDMD) is a popular data-driven method to predict the action of the Koopman operator, i.e., the evolution of an observable function along the flow of a dynamical system. In this paper, we leverage a…

最优化与控制 · 数学 2025-03-17 Lea Bold , Manuel Schaller , Irene Schimperna , Karl Worthmann

Transient stability is crucial to the reliable operation of power systems. Existing theories rely on the simplified electromechanical models, substituting the detailed electromagnetic dynamics of inductor and capacitor with their impedance…

系统与控制 · 电气工程与系统科学 2025-02-17 Xinyuan Jiang , Constantino M. Lagoa , Yan Li

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…

计算物理 · 物理学 2020-08-31 Joshua Hanson , Pavel Bochev , Biliana Paskaleva

The Dynamic Mode Decomposition (DMD) and the more general Extended DMD (EDMD) are powerful tools for computational analysis of dynamical systems in data-driven scenarios. They are built on the theoretical foundation of the Koopman…

数值分析 · 数学 2026-04-06 Zlatko Drmač , Ela Đimoti

Warm dense matter (WMD) describes an intermediate phase, between condensed matter and classical plasmas, found in natural and man-made systems. In a laboratory setting, WDM needs to be created dynamically. It is typically laser or…

等离子体物理 · 物理学 2022-03-14 Alexander J. White , Lee A. Collins , Katarina Nichols , S. X. Hu

Dynamic Mode Decomposition (DMD) is a widely used data-driven algorithm for estimating the Koopman Operator.This paper investigates how the estimation process is affected when the data is quantized. Specifically, we examine the fundamental…

系统与控制 · 电气工程与系统科学 2024-04-03 Dipankar Maity , Debdipta Goswami , Sriram Narayanan

This work presents new tools for studying reachability and set invariance for continuous-time mixed-monotone dynamical systems subject to a disturbance input. The vector field of a mixed-monotone system is decomposable via a decomposition…

系统与控制 · 电气工程与系统科学 2020-08-25 Matthew Abate , Samuel Coogan

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)…

机器学习 · 计算机科学 2025-11-26 Yujin Kim , Sarah Dean

The modern power system features high penetration of power converters due to the development of renewables, HVDC, etc. Currently, the controller design and parameter tuning of power converters heavily rely on rich engineering experience and…

系统与控制 · 电气工程与系统科学 2020-05-12 Linbin Huang , Huanhai Xin , Florian Dörfler

This paper considers the problem of signal decomposition and data visualization. For this purpose, we introduce a new multiscale transform, termed `ensemble patch transformation' that enhances identification of local characteristics…

信号处理 · 电气工程与系统科学 2019-04-09 Donghoh Kim , Guebin Choi , Hee-Seok Oh

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…

动力系统 · 数学 2017-06-26 Boris Kramer , Piyush Grover , Petros Boufounos , Mouhacine Benosman , Saleh Nabi

Accurate electricity demand forecasting is challenging due to the strong multi-periodicity of real-world demand series, which makes effective modeling of recurrent temporal patterns crucial. Decomposition techniques make such structure…

机器学习 · 计算机科学 2026-03-03 Weibin Feng , Ran Tao , John Cartlidge , Jin Zheng

We establish the convergence of a class of numerical algorithms, known as Dynamic Mode Decomposition (DMD), for computation of the eigenvalues and eigenfunctions of the infinite-dimensional Koopman operator. The algorithms act on data…

动力系统 · 数学 2017-11-21 Hassan Arbabi , Igor Mezić