<?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>1405-3322</journal-id>
<journal-title><![CDATA[Boletín de la Sociedad Geológica Mexicana]]></journal-title>
<abbrev-journal-title><![CDATA[Bol. Soc. Geol. Mex]]></abbrev-journal-title>
<issn>1405-3322</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Geológica Mexicana A.C.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1405-33222024000200102</article-id>
<article-id pub-id-type="doi">10.18268/bsgm2024v76n2a081223</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Clasificación semi-supervisada de mezclas de distribuciones para determinar procedencias de artefactos de obsidiana en Izapa, Chiapas]]></article-title>
<article-title xml:lang="en"><![CDATA[Semi-supervised classification of distribution mixtures to determine the sources of obsidian artifacts at Izapa, Chiapas]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[López García]]></surname>
<given-names><![CDATA[Pedro A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Argote Espino]]></surname>
<given-names><![CDATA[Denisse L.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Uriarte Torres]]></surname>
<given-names><![CDATA[Alejandro J.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pérez Alcántara]]></surname>
<given-names><![CDATA[Ivonne A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Cifuentes Nava]]></surname>
<given-names><![CDATA[Gerardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Instituto Nacional de Antropología e Historia Escuela Nacional de Antropología e Historia ]]></institution>
<addr-line><![CDATA[Tlalpan CDMX]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Instituto Nacional de Antropología e Historia Escuela Nacional de Antropología e Historia ]]></institution>
<addr-line><![CDATA[Cuauhtémoc CDMX]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Instituto Nacional de Antropología e Historia  ]]></institution>
<addr-line><![CDATA[San Luis Potosí San Luis Potosí]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad Nacional Autónoma de México Instituto de Geofísica ]]></institution>
<addr-line><![CDATA[Coyoacán CDMX]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2024</year>
</pub-date>
<volume>76</volume>
<numero>2</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1405-33222024000200102&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1405-33222024000200102&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1405-33222024000200102&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN La caracterización química de materiales recuperados de sitios arqueológicos ha sido utilizada para relacionar artefactos con sus respectivas fuentes de materia prima. Para ello, comúnmente se emplean métodos convencionales de la estadística clásica, como son los gráficos bivariados, el análisis de conglomerados y las transformaciones lineales de datos. Quienes han aplicado estos métodos afirman tener un alto grado de confianza en la correcta asignación de los materiales a sus respectivas fuentes. Sin embargo, si los datos empíricos se desvían de los supuestos teóricos, las técnicas de estadística clásica pueden producir asignaciones incorrectas. En este trabajo, se propone un procedimiento de aprendizaje semi-supervisado utilizando el agrupamiento y la clasificación basados en modelos de mezclas de distribuciones exponenciales de potencia asimétricas multivariantes. El objetivo es rastrear el origen y procedencia de los materiales arqueológicos de obsidiana de la zona arqueológica de Izapa, Chiapas, optimizando significativamente el resultado de la correcta asignación de datos sin etiquetar al emplear únicamente una supervisión limitada en forma de instancias etiquetadas. La comprobación de la eficacia del método propuesto se realizó primeramente mediante un experimento controlado utilizando muestras geológicas de yacimientos de obsidiana. Posteriormente, se aplicó el método para analizar un conjunto de artefactos de obsidiana recolectados en excavaciones dentro del sitio de Izapa fechadas para el periodo Clásico. En ambos casos, se obtuvieron clasificaciones bien definidas que, para el caso de Izapa, permitieron determinar el consumo de materiales procedentes de fuentes de Guatemala, así como cierta relación con fuentes del occidente y centro de México.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT The chemical characterization of materials recovered from archaeological sites has been used to relate artifacts to their respective sources of raw material. For this, conventional methods of classical statistics are commonly used, such as bivariate graphs, cluster analysis and linear data transformations. Those who have applied these methods claim to have a high degree of confidence in the correct assignment of materials to their respective sources. However, if empirical data deviate from theoretical assumptions, classical statistical techniques can produce incorrect assignments. In this paper, we propose a semi-supervised learning procedure using clustering and classification based on models of mixtures of multivariate asymmetric exponential power distributions. The objective is to trace the origin and provenance of obsidian archaeological materials from the archaeological zone of Izapa, Chiapas, significantly optimizing the result of the correct allocation of unlabeled data by employing only limited supervision in the form of labeled instances. The effectiveness of the proposed method was evaluated by a controlled experiment using data from a set of geological samples from obsidian deposits. Subsequently, the method was applied to analyze a set of obsidian artifacts collected in excavations within Izapa dated for the Classic period. In both cases, well-defined classifications were obtained that, in the case of Izapa, allowed to determine the consumption of materials from Guatemalan sources, as well as some relationship with sources from western and central Mexico.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Análisis de procedencia de obsidianas]]></kwd>
<kwd lng="es"><![CDATA[Zona arqueológica de Izapa]]></kwd>
<kwd lng="es"><![CDATA[Fluorescencia de rayos X portátil]]></kwd>
<kwd lng="es"><![CDATA[Clasificación semi-supervisada]]></kwd>
<kwd lng="es"><![CDATA[Agrupación basada en modelos]]></kwd>
<kwd lng="es"><![CDATA[Modelo de mezcla finita]]></kwd>
<kwd lng="en"><![CDATA[Obsidian provenance analysis]]></kwd>
<kwd lng="en"><![CDATA[Archaeological zone of Izapa]]></kwd>
<kwd lng="en"><![CDATA[Portable X-ray fluorescence]]></kwd>
<kwd lng="en"><![CDATA[Semi-supervised classification]]></kwd>
<kwd lng="en"><![CDATA[Model-based clustering]]></kwd>
<kwd lng="en"><![CDATA[Finite mixture models]]></kwd>
</kwd-group>
</article-meta>
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