Dependency-Aware Clustering of Time Series and Its Application on Energy Markets

In this paper, we propose a novel approach for clustering time series, which combines three well-known aspects: a permutation-based coding of the time series, several distance measurements for discrete distributions and hierarchical clustering using different linkages. The proposed method classifies...

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Main Authors: María del Carmen Ruiz-Abellón, Antonio Gabaldón, Antonio Guillamón
Format: Article
Language:English
Published: MDPI AG 2016-10-01
Series:Energies
Subjects:
Online Access:http://www.mdpi.com/1996-1073/9/10/809
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author María del Carmen Ruiz-Abellón
Antonio Gabaldón
Antonio Guillamón
author_facet María del Carmen Ruiz-Abellón
Antonio Gabaldón
Antonio Guillamón
author_sort María del Carmen Ruiz-Abellón
collection DOAJ
description In this paper, we propose a novel approach for clustering time series, which combines three well-known aspects: a permutation-based coding of the time series, several distance measurements for discrete distributions and hierarchical clustering using different linkages. The proposed method classifies a set of time series into homogeneous groups, according to the degree of dependency among them. That is, time series with a high level of dependency will lie in the same cluster. Moreover, taking into account the nature of the codifying process, the method allows us to detect linear and nonlinear dependences. To illustrate the procedure, a set of fourteen electricity price series coming from different wholesale electricity markets worldwide was analyzed. We show that the classification results are consistent with the characteristics of the electricity markets in the study and with their degree of integration. Besides, we outline the necessity of removing the seasonal component of the price series before the analysis and the capability of the method to detect changes in the dependence level along time.
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spelling doaj.art-a214b1fee0784dcf9bb7af732fb2350a2022-12-22T04:23:30ZengMDPI AGEnergies1996-10732016-10-0191080910.3390/en9100809en9100809Dependency-Aware Clustering of Time Series and Its Application on Energy MarketsMaría del Carmen Ruiz-Abellón0Antonio Gabaldón1Antonio Guillamón2Department of Applied Mathematics and Statistics, Universidad Politécnica de Cartagena, Cartagena 30202, SpainDepartment of Electrical Engineering, Universidad Politécnica de Cartagena, Cartagena 30202, SpainDepartment of Applied Mathematics and Statistics, Universidad Politécnica de Cartagena, Cartagena 30202, SpainIn this paper, we propose a novel approach for clustering time series, which combines three well-known aspects: a permutation-based coding of the time series, several distance measurements for discrete distributions and hierarchical clustering using different linkages. The proposed method classifies a set of time series into homogeneous groups, according to the degree of dependency among them. That is, time series with a high level of dependency will lie in the same cluster. Moreover, taking into account the nature of the codifying process, the method allows us to detect linear and nonlinear dependences. To illustrate the procedure, a set of fourteen electricity price series coming from different wholesale electricity markets worldwide was analyzed. We show that the classification results are consistent with the characteristics of the electricity markets in the study and with their degree of integration. Besides, we outline the necessity of removing the seasonal component of the price series before the analysis and the capability of the method to detect changes in the dependence level along time.http://www.mdpi.com/1996-1073/9/10/809time series clusteringentropyinformation theoryelectricity markets
spellingShingle María del Carmen Ruiz-Abellón
Antonio Gabaldón
Antonio Guillamón
Dependency-Aware Clustering of Time Series and Its Application on Energy Markets
Energies
time series clustering
entropy
information theory
electricity markets
title Dependency-Aware Clustering of Time Series and Its Application on Energy Markets
title_full Dependency-Aware Clustering of Time Series and Its Application on Energy Markets
title_fullStr Dependency-Aware Clustering of Time Series and Its Application on Energy Markets
title_full_unstemmed Dependency-Aware Clustering of Time Series and Its Application on Energy Markets
title_short Dependency-Aware Clustering of Time Series and Its Application on Energy Markets
title_sort dependency aware clustering of time series and its application on energy markets
topic time series clustering
entropy
information theory
electricity markets
url http://www.mdpi.com/1996-1073/9/10/809
work_keys_str_mv AT mariadelcarmenruizabellon dependencyawareclusteringoftimeseriesanditsapplicationonenergymarkets
AT antoniogabaldon dependencyawareclusteringoftimeseriesanditsapplicationonenergymarkets
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