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Dynamic Mode Decomposition (DMD) is an unsupervised machine learning method that has attracted considerable attention in recent years owing to its equation-free structure, ability to easily identify coherent spatio-temporal structures in…

机器学习 · 计算机科学 2022-02-16 Alex Viguerie , Gabriel F. Barros , Malú Grave , Alessandro Reali , Alvaro L. G. A. Coutinho

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

Dynamic mode decomposition (DMD) is a widely used data-driven algorithm for predicting the future states of dynamical systems. However, its standard formulation often struggles with poor long-term predictive accuracy. To address this…

数值分析 · 数学 2025-10-23 Qiuqi Li , Chang Liu , Yifei Yang

Modern time series are usually composed of multiple oscillatory components, with time-varying frequency and amplitude contaminated by noise. The signal processing mission is further challenged if each component has an oscillatory pattern,…

信号处理 · 电气工程与系统科学 2021-10-04 Marcelo A. Colominas , Hau-Tieng Wu

Predicting multivariate time series is crucial, demanding precise modeling of intricate patterns, including inter-series dependencies and intra-series variations. Distinctive trend characteristics in each time series pose challenges, and…

机器学习 · 计算机科学 2024-07-08 Guoqi Yu , Jing Zou , Xiaowei Hu , Angelica I. Aviles-Rivero , Jing Qin , Shujun Wang

Dynamic mode decomposition (DMD) is a widely used data-driven algorithm for predicting the future states of dynamical systems. However, its standard formulation often struggles with poor long-term predictive accuracy. To address this…

数值分析 · 数学 2026-04-21 Qiuqi Li , Chang Liu , Yifei Yang

Real-world time series often have multiple frequency components that are intertwined with each other, making accurate time series forecasting challenging. Decomposing the mixed frequency components into multiple single frequency components…

机器学习 · 计算机科学 2025-02-27 Songtao Huang , Zhen Zhao , Can Li , Lei Bai

The dynamic mode decomposition (DMD) is a data-driven approach that extracts the dominant features from spatiotemporal data. In this work, we introduce sparse-mode DMD, a new variant of the optimized DMD framework that specifically…

机器学习 · 统计学 2025-07-29 Sara M. Ichinaga , Steven L. Brunton , Aleksandr Y. Aravkin , J. Nathan Kutz

Time series forecasting models are becoming increasingly prevalent due to their critical role in decision-making across various domains. However, most existing approaches represent the coupled temporal patterns, often neglecting the…

机器学习 · 计算机科学 2025-09-26 Jintao Zhang , Mingyue Cheng , Xiaoyu Tao , Zhiding Liu , Daoyu Wang

Accurate quality prediction in multi-process manufacturing is critical for industrial efficiency but hindered by three core challenges: time-lagged process interactions, overlapping operations with mixed periodicity, and inter-process…

机器学习 · 计算机科学 2025-07-31 Yang Luo , Haoyang Luan , Haoyun Pan , Yongquan Jia , Xiaofeng Gao , Guihai Chen

Current approaches for time series forecasting, whether in the time or frequency domain, predominantly use deep learning models based on linear layers or transformers. They often encode time series data in a black-box manner and rely on…

机器学习 · 计算机科学 2025-10-14 Cheng He , Xijie Liang , Zengrong Zheng , Patrick P. C. Lee , Xu Huang , Zhaoyi Li , Hong Xie , Defu Lian , Enhong Chen

Dynamic mode decomposition (DMD) has become a powerful data-driven method for analyzing the spatiotemporal dynamics of complex, high-dimensional systems. However, conventional DMD methods are limited to matrix-based formulations, which…

系统与控制 · 电气工程与系统科学 2025-08-05 Ziqin He , Mengqi Hu , Yifei Lou , Can Chen

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,…

流体动力学 · 物理学 2020-07-29 Aditya G. Nair , Benjamin Strom , Bingni W. Brunton , Steven L. Brunton

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

We introduce Variational Latent Mode Decomposition (VLMD), a new algorithm for extracting oscillatory modes and associated connectivity structures from multivariate signals. VLMD addresses key limitations of existing Multivariate Mode…

机器学习 · 计算机科学 2025-05-26 Manuel Morante , Naveed ur Rehman

Dynamic Mode Decomposition (DMD) is a data-driven decomposition technique extracting spatio-temporal patterns of time-dependent phenomena. In this paper, we perform a comprehensive theoretical analysis of various variants of DMD. We provide…

数值分析 · 数学 2022-02-15 Tim Krake , Daniel Weiskopf , Bernhard Eberhardt

The use of up to hundreds of antennas in massive multi-user (MU) multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) poses a complexity challenge for digital predistortion (DPD) aiming to linearize the…

信号处理 · 电气工程与系统科学 2024-10-25 Yibo Wu , Ulf Gustavsson , Mikko Valkama , Alexandre Graell i Amat , Henk Wymeersch

Power Delay Profile (PDP) plays a crucial role in wireless communications, providing information on multipath propagation and signal strength variations over time. Accurate detection of peaks within PDP is essential to identify dominant…

信号处理 · 电气工程与系统科学 2026-03-23 Ondrej Zeleny , Radek Zavorka , Ales Prokes , Tomas Fryza , Jaroslaw Wojtun , Jan M. Kelner , Cezary Ziolkowski , Aniruddha Chandra

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…

动力系统 · 数学 2015-06-02 J. Nathan Kutz , Xing Fu , Steven L. Brunton

In neural-based audio feature extraction, ensuring that representations capture disentangled information is crucial for model interpretability. However, existing disentanglement methods often rely on assumptions that are highly dependent on…

声音 · 计算机科学 2025-10-07 Benoit Ginies , Xiaoyu Bie , Olivier Fercoq , Gaël Richard