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The empirical mode decomposition (EMD) method and its variants have been extensively employed in the load and renewable forecasting literature. Using this multiresolution decomposition, time series (TS) related to the historical load and…

系统与控制 · 电气工程与系统科学 2020-11-24 Nima Safari , George Price , Chi Yung Chung

A major challenge of climate change adaptation is to assess the effect of changing weather on human health. In spite of an increasing literature on the weather-related health subject, many aspect of the relationship are not known, limiting…

Highly accurate interval forecasting of electricity demand is fundamental to the success of reducing the risk when making power system planning and operational decisions by providing a range rather than point estimation. In this study, a…

机器学习 · 计算机科学 2014-06-17 Tao Xiong , Yukun Bao , Zhongyi Hu

In environmental epidemiology studies, health response data (e.g. hospitalization or mortality) are often noisy because of hospital organization and other social factors. The noise in the data can hide the true signal related to the…

Empirical Mode Decomposition(EMD) is an adaptive data analysis technique for analyzing nonlinear and nonstationary data[1]. EMD decomposes the original data into a number of Intrinsic Mode Functions(IMFs)[1] for giving better physical…

统计方法学 · 统计学 2016-01-27 Sumit Kumar Ram , Marta Molinas

The Empirical Mode Decomposition (EMD) provides a tool to characterize time series in terms of its implicit components oscillating at different time-scales. We apply this decomposition to intraday time series of the following three…

计算工程、金融与科学 · 计算机科学 2018-04-04 Noemi Nava , T. Di Matteo , Tomaso Aste

The EMD algorithm, first proposed in [11], made more robust as well as more versatile in [12], is a technique that aims to decompose into their building blocks functions that are the superposition of a (reasonably) small number of…

数值分析 · 数学 2009-12-15 Ingrid Daubechies , Jianfeng Lu , Hau-Tieng Wu

In this work, we present a method which determines optimal multi-step dynamic mode decomposition (DMD) models via entropic regression, which is a nonlinear information flow detection algorithm. Motivated by the higher-order DMD (HODMD)…

机器学习 · 统计学 2024-06-19 Christopher W. Curtis , Erik Bollt , Daniel Jay Alford-Lago

Following the "decomposition-and-ensemble" principle, the empirical mode decomposition (EMD)-based modeling framework has been widely used as a promising alternative for nonlinear and nonstationary time series modeling and prediction. The…

人工智能 · 计算机科学 2014-01-14 Tao Xiong , Yukun Bao , Zhongyi Hu

Heart rate variability (HRV) is a well-known phenomenon whose characteristics are of great clinical relevance in pathophysiologic investigations. In particular, respiration is a powerful modulator of HRV contributing to the oscillations at…

组织与器官 · 定量生物学 2015-06-26 R. Balocchi , D. Menicucci , E. Santarcangelo , L. Sebastiani , A. Gemignani , B. Ghelarducci , M. Varanini

In contemporary scientific research, understanding the distinction between correlation and causation is crucial. While correlation is a widely used analytical standard, it does not inherently imply causation. This paper addresses the…

机器学习 · 计算机科学 2023-12-27 Cao Zhihao , Qu Hongchun

This paper introduces a data-driven time embedding method for modeling long-range seasonal dependencies in spatiotemporal forecasting tasks. The proposed approach employs Dynamic Mode Decomposition (DMD) to extract temporal modes directly…

机器学习 · 计算机科学 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Xudong Wang , Lijun Sun

In this paper we present a mathematical model of the Empirical Mode Decomposition (EMD). Although EMD is a powerful tool for signal processing, the algorithm itself lacks an appropriate theoretical basis. The interpolation and iteration…

信号处理 · 电气工程与系统科学 2018-02-06 Heming Wang , Richard Mann , Edward R. Vrscay

Previous studies showed that hydro-climate processes are stochastic and complex systems, and it is difficult to discover the hidden patterns in the all non-stationary data and thoroughly understand the hydro-climate relationships. For the…

应用统计 · 统计学 2018-10-02 Jianhua Xu

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

Effective resource allocation is a crucial requirement to achieve the stringent performance targets of ultra-reliable low-latency communication (URLLC) services. Predicting future interference and utilizing it to design efficient…

信号处理 · 电气工程与系统科学 2023-04-05 Chandu Jayawardhana , Thushan Sivalingam , Nurul Huda Mahmood , Nandana Rajatheva , Matti Latva-Aho

Operational forecasting centers are investing in decadal (1-10 year) forecast systems to support long-term decision making for a more climate-resilient society. One method that has previously been employed is the Dynamic Mode Decomposition…

机器学习 · 计算机科学 2021-06-22 Eduardo Rodrigues , Bianca Zadrozny , Campbell Watson , David Gold

We study an EM algorithm for estimating product-term regression models with missing data. The study of such problems in the likelihood tradition has thus far been restricted to an EM algorithm method using full numerical integration.…

统计方法学 · 统计学 2021-11-16 Dale S. Kim

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

Complex biological processes are usually experimented along time among a collection of individuals. Longitudinal data are then available and the statistical challenge is to better understand the underlying biological mechanisms. The…

统计理论 · 数学 2015-06-11 Pierre Barbillon , Célia Barthélémy , Adeline Samson
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