<?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>2227-1899</journal-id>
<journal-title><![CDATA[Revista Cubana de Ciencias Informáticas]]></journal-title>
<abbrev-journal-title><![CDATA[Rev cuba cienc informat]]></abbrev-journal-title>
<issn>2227-1899</issn>
<publisher>
<publisher-name><![CDATA[Editorial Ediciones Futuro]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2227-18992021000500165</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Estimar conocimiento latente en grandes volúmenes de datos utilizando el algoritmo Bayesian Knowledge Tracing]]></article-title>
<article-title xml:lang="en"><![CDATA[Estimating latent knowledge in large volumes of data using the Bayesian Knowledge Tracing algorithm]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Salazar Gómez]]></surname>
<given-names><![CDATA[Lisset]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vazquez Sánchez]]></surname>
<given-names><![CDATA[Angel Alberto]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Cañizares González]]></surname>
<given-names><![CDATA[Roxana]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de las Ciencias Informática  ]]></institution>
<addr-line><![CDATA[ La Habana]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2021</year>
</pub-date>
<volume>15</volume>
<numero>4</numero>
<fpage>165</fpage>
<lpage>180</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://scielo.sld.cu/scielo.php?script=sci_arttext&amp;pid=S2227-18992021000500165&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.sld.cu/scielo.php?script=sci_abstract&amp;pid=S2227-18992021000500165&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.sld.cu/scielo.php?script=sci_pdf&amp;pid=S2227-18992021000500165&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN Ante la masividad de los datos que se generan en la educación, se han tenido que cambiar los métodos tradicionales para el descubrimiento de conocimientos. Uno de los algoritmos es el Bayesian Knowledge Tracing (BKT) que permite Estimar Conocimiento Latente (ECL). La ECL no es más que la forma de medir el conocimiento de un estudiante sobre habilidades y conceptos específicos, que es evaluada por sus patrones de corrección sobre esas habilidades. Dicho algoritmo está diseñado para ser utilizado en volúmenes de datos pequeños, afectándose su rendimiento ante la presencia de grandes volúmenes de datos. Para dar solución al problema se presentará como resultado la transformación del algoritmo BKT teniendo en cuenta la programación paralela y distribuida. Se utilizaron herramientas de procesamiento en paralelo como el marco de trabajo Apache Spark en un entorno de minado. Se valida la propuesta de solución mediante pruebas para medir rendimiento y eficacia, usando métricas como speedup, eficiencia, error medio cuadrático del diferencial de probabilidades y error medio cuadrático del diferencial del área bajo la curva ROC; para las pruebas fueron empleadas bases de datos educacionales.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT Given the massive amount of data generated in education, the traditional methods for knowledge discovery have had to be changed. One of the algorithms is the Bayesian Knowledge Tracing (BKT) that allows to Estimate Latent Knowledge (LKE). LKE is nothing more than a way of measuring a student's knowledge about specific skills and concepts, which is evaluated by his or her correction patterns on those skills. This algorithm is designed to be used on small volumes of data, affecting its performance in the presence of large volumes of data. In order to solve the problem, the transformation of the BKT algorithm will be presented as a result, taking into account parallel and distributed programming. Parallel processing tools such as the Apache Spark framework were used in a mining environment. The proposed solution is validated through tests to measure performance and effectiveness, using metrics such as speedup, efficiency, mean squared error of the differential of probabilities and mean squared error of the differential of the area under the ROC curve; educational databases were used for the tests.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Estimación del Conocimiento Latente (ECL)]]></kwd>
<kwd lng="es"><![CDATA[Minería de Datos Educacionales (MDE)]]></kwd>
<kwd lng="es"><![CDATA[Rastreo del Conocimiento Bayesiano (BKT)]]></kwd>
<kwd lng="en"><![CDATA[Latent Knowledge Estimation (LKE)]]></kwd>
<kwd lng="en"><![CDATA[Educational Data Mining (EDM)]]></kwd>
<kwd lng="en"><![CDATA[Bayesian Knowledge Tracking (BKT)]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Baker]]></surname>
<given-names><![CDATA[R.S]]></given-names>
</name>
<name>
<surname><![CDATA[Corbett]]></surname>
<given-names><![CDATA[A.T]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Assessment Of Robust Learning With Educational Data Mining.]]></article-title>
<source><![CDATA[Research &amp; Practice In Assessment]]></source>
<year>2014</year>
<volume>9</volume>
<page-range>38-50</page-range></nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Baker]]></surname>
<given-names><![CDATA[R.S.J.D]]></given-names>
</name>
<name>
<surname><![CDATA[Yacef]]></surname>
<given-names><![CDATA[K]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The State Of Educational Data Mining In 2009: A Review And Future Visions.]]></article-title>
<source><![CDATA[Jedm| Journal Of Educational Data Mining]]></source>
<year>2009</year>
<volume>1</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>3-17</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ballesteros Román]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<name>
<surname><![CDATA[Sánchez-Guzmán]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[García Salcedo]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Minería De Datos Educativa: Una Herramienta Para La Investigación De Patroness De Aprendizaje Sobre Un Contexto Educativo.]]></article-title>
<source><![CDATA[Latin-American Journal Of Physics Education]]></source>
<year>2013</year>
<volume>7</volume>
<numero>4</numero>
<issue>4</issue>
</nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Beck]]></surname>
<given-names><![CDATA[J.E]]></given-names>
</name>
<name>
<surname><![CDATA[Chang]]></surname>
<given-names><![CDATA[K]]></given-names>
</name>
<name>
<surname><![CDATA[Mostow]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Corbett]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<source><![CDATA[Introducing The Bayesian Evaluation And Assessment Methodology.]]></source>
<year>2008</year>
<page-range>383-94</page-range><publisher-name><![CDATA[International Conference On Intelligent Tutoring Systems.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Corbett]]></surname>
<given-names><![CDATA[A.T]]></given-names>
</name>
<name>
<surname><![CDATA[Anderson]]></surname>
<given-names><![CDATA[J.R]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Knowledge Tracing: Modeling The Acquisition Of Procedural Knowledge.]]></article-title>
<source><![CDATA[User Modeling And User-Adapted Interaction]]></source>
<year>1994</year>
<volume>4</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>253-78</page-range></nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[D Baker]]></surname>
<given-names><![CDATA[R.S.J]]></given-names>
</name>
<name>
<surname><![CDATA[Corbett]]></surname>
<given-names><![CDATA[A.T]]></given-names>
</name>
<name>
<surname><![CDATA[Aleven]]></surname>
<given-names><![CDATA[V]]></given-names>
</name>
</person-group>
<source><![CDATA[More Accurate Student Modeling Through Contextual Estimation Of Slip And Guess Probabilities In Bayesian Knowledge Tracing.]]></source>
<year>2008</year>
<page-range>406-15</page-range><publisher-name><![CDATA[International Conference On Intelligent Tutoring Systems.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dellaert]]></surname>
<given-names><![CDATA[F]]></given-names>
</name>
</person-group>
<source><![CDATA[The Expectation Maximization Algorithm.]]></source>
<year>2002</year>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Márquez Vera]]></surname>
<given-names><![CDATA[Carlos]]></given-names>
</name>
</person-group>
<source><![CDATA[Predicción Del Fracaso Escolar Mediante Técnicas De Minería De Datos.]]></source>
<year>2012</year>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Feng]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Heffernan]]></surname>
<given-names><![CDATA[N.T]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Towards Live Informing And Automatic Analyzing Of Student Learning: Reporting In Assistment System.]]></article-title>
<source><![CDATA[Journal Of Interactive Learning Research]]></source>
<year>2007</year>
<volume>18</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>207-30</page-range></nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hawkins]]></surname>
<given-names><![CDATA[W.J]]></given-names>
</name>
<name>
<surname><![CDATA[Heffernan]]></surname>
<given-names><![CDATA[N.T]]></given-names>
</name>
<name>
<surname><![CDATA[Baker]]></surname>
<given-names><![CDATA[R.S.J.D]]></given-names>
</name>
</person-group>
<source><![CDATA[Learning Bayesian Knowledge Tracing Parameters With A Knowledge Heuristic And Empirical Probabilities.]]></source>
<year>2014</year>
<page-range>150-5</page-range><publisher-name><![CDATA[International Conference On Intelligent Tutoring Systems]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Larusson]]></surname>
<given-names><![CDATA[J.A]]></given-names>
</name>
<name>
<surname><![CDATA[White]]></surname>
<given-names><![CDATA[B]]></given-names>
</name>
</person-group>
<source><![CDATA[Learning Analytics: From Research To Practice.]]></source>
<year>2014</year>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Martinez Torres]]></surname>
<given-names><![CDATA[M. Del R]]></given-names>
</name>
<name>
<surname><![CDATA[Gutiérrez Reina]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[Toral]]></surname>
<given-names><![CDATA[S.L]]></given-names>
</name>
<name>
<surname><![CDATA[Barrero]]></surname>
<given-names><![CDATA[F]]></given-names>
</name>
</person-group>
<source><![CDATA[Metodologias De Análisis De Los Big Data En Las Plataformas Educativas.]]></source>
<year>2014</year>
<page-range>79-83.</page-range><publisher-name><![CDATA[: Xi Congreso De Tecnologías, Aprendizaje Y Enseñanza De La Electrónica:]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Miller]]></surname>
<given-names><![CDATA[W.L]]></given-names>
</name>
<name>
<surname><![CDATA[Baker]]></surname>
<given-names><![CDATA[R.S]]></given-names>
</name>
<name>
<surname><![CDATA[Rossi]]></surname>
<given-names><![CDATA[L.M]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Unifying Computer-Based Assessment Across Conceptual Instruction, Problem-Solving, And Digital Games.]]></article-title>
<source><![CDATA[Technology, Knowledge And Learning]]></source>
<year>2014</year>
<volume>19</volume>
<numero>1-2</numero>
<issue>1-2</issue>
<page-range>165-81</page-range></nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pardos]]></surname>
<given-names><![CDATA[Z.A]]></given-names>
</name>
<name>
<surname><![CDATA[Bergner]]></surname>
<given-names><![CDATA[Y]]></given-names>
</name>
<name>
<surname><![CDATA[Seaton]]></surname>
<given-names><![CDATA[D.T]]></given-names>
</name>
<name>
<surname><![CDATA[Pritchard]]></surname>
<given-names><![CDATA[D.E]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Adapting Bayesian Knowledge Tracing To A Massive Open Online Course]]></article-title>
<source><![CDATA[Edx. Edm]]></source>
<year>2013</year>
<volume>13</volume>
<page-range>137-44</page-range></nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Romero]]></surname>
<given-names><![CDATA[C]]></given-names>
</name>
<name>
<surname><![CDATA[Ventura]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Educational Data Mining: A Review Of The State Of The Art.]]></article-title>
<source><![CDATA[Ieee Transactions On Systems, Man, And Cybernetics,]]></source>
<year>2010</year>
<volume>40</volume>
<numero>6</numero>
<issue>6</issue>
<page-range>601-18</page-range></nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Romero]]></surname>
<given-names><![CDATA[C]]></given-names>
</name>
<name>
<surname><![CDATA[Ventura]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Data Mining In Education. Wiley Interdisciplinary Reviews:]]></article-title>
<source><![CDATA[Data Mining And Knowledge Discovery]]></source>
<year>2013</year>
<volume>3</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>12-27</page-range></nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Romero]]></surname>
<given-names><![CDATA[C]]></given-names>
</name>
<name>
<surname><![CDATA[Ventura]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Pechenizkiy]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Baker]]></surname>
<given-names><![CDATA[R.Sj]]></given-names>
</name>
</person-group>
<source><![CDATA[Handbook Of Educational Data Mining.]]></source>
<year>2010</year>
<publisher-name><![CDATA[Crc Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[S. Baker]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<source><![CDATA[Big Data And Education.]]></source>
<year>2015</year>
<publisher-name><![CDATA[Teachers College]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shen]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
</person-group>
<source><![CDATA[Some Mathematics For Hmm.]]></source>
<year>2008</year>
<publisher-name><![CDATA[Massachusetts Institute Of Technology]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Van De Sande]]></surname>
<given-names><![CDATA[B]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Properties Of The Bayesian Knowledge Tracing Model.]]></article-title>
<source><![CDATA[Journal Of Educational Data Mining]]></source>
<year>2013</year>
<volume>5</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>1-10</page-range></nlm-citation>
</ref>
<ref id="B21">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yudelson]]></surname>
<given-names><![CDATA[M. V]]></given-names>
</name>
<name>
<surname><![CDATA[Koedinger]]></surname>
<given-names><![CDATA[K.R]]></given-names>
</name>
<name>
<surname><![CDATA[Gordon]]></surname>
<given-names><![CDATA[G.J]]></given-names>
</name>
</person-group>
<source><![CDATA[Individualized Bayesian Knowledge Tracing models]]></source>
<year>2013</year>
<page-range>171-180.</page-range><publisher-name><![CDATA[International conference on artificial intelligence in education.]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
