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Time series forecasting has witnessed significant progress with deep learning. While prevailing approaches enhance forecasting performance by modifying architectures or introducing novel enhancement strategies, they often fail to…

机器学习 · 计算机科学 2026-03-31 Haonan Yang , Jianchao Tang , Zhuo Li

Seasonal time series exhibit intricate long-term dependencies, posing a significant challenge for accurate future prediction. This paper introduces the Multi-scale Seasonal Decomposition Model (MSSD) for seasonal time-series forecasting.…

机器学习 · 计算机科学 2024-12-18 Yining Pang , Chenghan Li

A new variational mode decomposition (VMD) based deep learning approach is proposed in this paper for time series forecasting problem. Firstly, VMD is adopted to decompose the original time series into several sub-signals. Then, a…

机器学习 · 统计学 2020-02-25 Guowei Zhang , Tao Ren , Yifan Yang

Time series data, including univariate and multivariate ones, are characterized by unique composition and complex multi-scale temporal variations. They often require special consideration of decomposition and multi-scale modeling to…

机器学习 · 计算机科学 2024-03-26 Shuhan Zhong , Sizhe Song , Weipeng Zhuo , Guanyao Li , Yang Liu , S. -H. Gary Chan

Dynamic mode decomposition (DMD) is a leading tool for equation-free analysis of high-dimensional dynamical systems from observations. In this work, we focus on a combination of delay-coordinates embedding and DMD, i.e., delay-coordinates…

动力系统 · 数学 2022-12-21 Emil Bronstein , Aviad Wiegner , Doron Shilo , Ronen Talmon

We present a data-driven method for separating complex, multiscale systems into their constituent time-scale components using a recursive implementation of dynamic mode decomposition (DMD). Local linear models are built from windowed…

系统与控制 · 计算机科学 2019-06-26 Daniel Dylewsky , Molei Tao , J. Nathan Kutz

Time series forecasting is essential in a wide range of real world applications. Recently, frequency-domain methods have attracted increasing interest for their ability to capture global dependencies. However, when applied to non-stationary…

机器学习 · 统计学 2026-02-09 Zhongde An , Jinhong You , Jiyanglin Li , Yiming Tang , Wen Li , Heming Du , Shouguo Du

Time-series forecasting often faces challenges due to data volatility, which can lead to inaccurate predictions. Variational Mode Decomposition (VMD) has emerged as a promising technique to mitigate volatility by decomposing data into…

机器学习 · 计算机科学 2024-09-05 Hafizh Raihan Kurnia Putra , Novanto Yudistira , Tirana Noor Fatyanosa

Time series forecasting remains a central challenge problem in almost all scientific disciplines. We introduce a novel load forecasting method in which observed dynamics are modeled as a forced linear system using Dynamic Mode Decomposition…

物理与社会 · 物理学 2021-07-13 Daniel Dylewsky , David Barajas-Solano , Tong Ma , Alexandre M. Tartakovsky , J. Nathan Kutz

The fusion of Synthetic Aperture Radar (SAR) and RGB imagery for land cover classification remains challenging due to modality heterogeneity and underexploited spectral complementarity. Existing approaches often fail to decouple shared…

计算机视觉与模式识别 · 计算机科学 2025-10-20 Huiling Zheng , Xian Zhong , Bin Liu , Yi Xiao , Bihan Wen , Xiaofeng Li

To address the complexity of financial time series, this paper proposes a forecasting model combining sliding window and variational mode decomposition (VMD) methods. Historical stock prices and relevant market indicators are used to…

机器学习 · 计算机科学 2025-08-22 Luke Li

Dynamic Mode Decomposition (DMD) is a data-driven and model-free decomposition technique. It is suitable for revealing spatio-temporal features of both numerically and experimentally acquired data. Conceptually, DMD performs a…

流体动力学 · 物理学 2020-12-18 Tim Krake , Stefan Reinhardt , Marcel Hlawatsch , Bernhard Eberhardt , Daniel Weiskopf

There is a broad need in the neuroscience community to understand and visualize large-scale recordings of neural activity, big data acquired by tens or hundreds of electrodes simultaneously recording dynamic brain activity over minutes to…

神经元与认知 · 定量生物学 2015-11-24 Bingni W. Brunton , Lise A. Johnson , Jeffrey G. Ojemann , J. Nathan Kutz

While time-frequency analysis provides rich representations of multicomponent signals, current decomposition methods often overlook the morphological structure where components manifest as distinct regions. This study introduces…

信号处理 · 电气工程与系统科学 2025-11-26 Wei Zhou , Wei-Jian Li , Desen Zhu , Hongbin Xu , Wei-Xin Ren

Time series forecasting is a significant problem in many applications, e.g., financial predictions and business optimization. Modern datasets can have multiple correlated time series, which are often generated with global (shared)…

机器学习 · 计算机科学 2021-11-10 Ling Chen , Weiqi Chen , Binqing Wu , Youdong Zhang , Bo Wen , Chenghu Yang

Deep forecasting models often suffer from attenuated periodic perception and entangled trend-noise representations as network depth increases. Moreover, the widely adopted channel-independent paradigm, while improving training stability,…

机器学习 · 计算机科学 2026-05-19 Hua Wang , Xianhao Jiao , Fan Zhang

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

Dynamic Mode Decomposition (DMD) is a powerful tool for extracting spatial and temporal patterns from multi-dimensional time series, and it has been used successfully in a wide range of fields, including fluid mechanics, robotics, and…

动力系统 · 数学 2021-09-07 Ziyou Wu , Steven L. Brunton , Shai Revzen

With the increased deployment of face recognition systems in our daily lives, face presentation attack detection (PAD) is attracting much attention and playing a key role in securing face recognition systems. Despite the great performance…

计算机视觉与模式识别 · 计算机科学 2021-11-03 Meiling Fang , Naser Damer , Florian Kirchbuchner , Arjan Kuijper

Long-term time series forecasting is a vital task and has a wide range of real applications. Recent methods focus on capturing the underlying patterns from one single domain (e.g. the time domain or the frequency domain), and have not taken…

机器学习 · 计算机科学 2023-08-28 Yuxiao Luo , Ziyu Lyu , Xingyu Huang
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