<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1870-9044</journal-id>
<journal-title><![CDATA[Polibits]]></journal-title>
<abbrev-journal-title><![CDATA[Polibits]]></abbrev-journal-title>
<issn>1870-9044</issn>
<publisher>
<publisher-name><![CDATA[Instituto Politécnico Nacional, Centro de Innovación y Desarrollo Tecnológico en Cómputo]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1870-90442015000100006</article-id>
<article-id pub-id-type="doi">10.17562/PB-51-5</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Traffic Accidents Forecasting using Singular Value Decomposition and an Autoregressive Neural Network Based on PSO]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Barba]]></surname>
<given-names><![CDATA[Lida]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodriguez]]></surname>
<given-names><![CDATA[Nibaldo]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Pontificia Universidad Católica de Valparaíso  ]]></institution>
<addr-line><![CDATA[Valparaíso ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Pontificia Universidad Católica de Valparaíso  ]]></institution>
<addr-line><![CDATA[Valparaíso ]]></addr-line>
<country>Chile</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2015</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2015</year>
</pub-date>
<numero>51</numero>
<fpage>33</fpage>
<lpage>38</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1870-90442015000100006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1870-90442015000100006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1870-90442015000100006&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[In this paper, we propose a strategy to improve the forecasting of traffic accidents in Concepción, Chile. The forecasting strategy consists of four stages: embedding, decomposition, estimation and recomposition. At the irst stage, the Hankel matrix is used to embed the original time series. At the second stage, the Singular Value Decomposition (SVD) technique is applied. SVD extracts the singular values and the singular vectors, which are used to obtain the components of low and high frequency. At the third stage, the estimation is implemented with an Autoregressive Neural Network (ANN) based on Particle Swarm Optimization (PSO). The final stage is recomposition, where the forecasted value is obtained. The results are compared with the values given by the conventional forecasting process. Our strategy shows high accuracy and is superior to the conventional process.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Autoregressive neural network]]></kwd>
<kwd lng="en"><![CDATA[particle swarm optimization]]></kwd>
<kwd lng="en"><![CDATA[singular value decomposition]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="center"><font face="verdana" size="4"><b>Traffic Accidents Forecasting using Singular Value Decomposition and an Autoregressive Neural Network Based on PSO</b></font></p>     <p align="center"><font face="verdana" size="4">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="2"><b>Lida Barba<sup>1</sup> and Nibaldo Rodriguez<sup>2</sup></b></font></p>     <p align="center"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><i><sup>1</sup> Pontificia Universidad Cat&oacute;lica de Valpara&iacute;so, Chile and Universidad Nacional de Chimborazo, Ecuador.</i> (e&#45;mail: <a href="mailto:lbarba@unach.edu.ec">lbarba@unach.edu.ec</a>).</font></p>     <p align="justify"><font face="verdana" size="2"><i><sup>2</sup> Pontificia Universidad Cat&oacute;lica de Valpara&iacute;so, Chile.</i> (e&#45;mail: <a href="mailto:nibaldo.rodriguez@ucv.cl">nibaldo.rodriguez@ucv.cl</a>).</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2">Manuscript received on December 24, 2014,    <br> Accepted for publication on April 20, 2015,     ]]></body>
<body><![CDATA[<br> Published on June 15, 2015.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>     <p align="justify"><font face="verdana" size="2">In this paper, we propose a strategy to improve the forecasting of traffic accidents in Concepci&oacute;n, Chile. The forecasting strategy consists of four stages: embedding, decomposition, estimation and recomposition. At the irst stage, the Hankel matrix is used to embed the original time series. At the second stage, the Singular Value Decomposition (SVD) technique is applied. SVD extracts the singular values and the singular vectors, which are used to obtain the components of low and high frequency. At the third stage, the estimation is implemented with an Autoregressive Neural Network (ANN) based on Particle Swarm Optimization (PSO). The final stage is recomposition, where the forecasted value is obtained. The results are compared with the values given by the conventional forecasting process. Our strategy shows high accuracy and is superior to the conventional process.</font></p>      <p align="justify"><font face="verdana" size="2"><b>Key words:</b> Autoregressive neural network, particle swarm optimization, singular value decomposition.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>      <p align="justify"><font face="verdana" size="2"><a href="/pdf/poli/n51/n51a6.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>      <p align="justify"><font face="verdana" size="2"><b>ACKNOWLEDGEMENTS</b></font></p>  	    <p align="justify"><font face="verdana" size="2">This research was partially supported by the Chilean National Science Fund through the project Fondecyt&#45;Regular 1131105 and by the VRIEA of the Pontificia Universidad Cat&oacute;lica de Valparaiso.</font></p>     ]]></body>
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