Examinando por Autor "Jorquera Sandoval, Eduardo"
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Ítem Bayesian item response theory and latent dirichlet allocation applied to textual professor performance profiling(Universidad de Valparaíso, 2019) Jorquera Sandoval, Eduardo; Advisor: Rosas, Harvey; Co-advisor: Montenegro, ÁlvaroThe evaluation of teaching and the perception about the academic environment are only obtained through students. Measure the teachers’ performance and subject relevance has an increasing importance for universities and academic institutions since these evaluations are subjective. Thus, a natural question is: how to develope an unbiased measure through subjective answers? This thesis uses several statistical tools in order to measure professor performance and subject relevance. An strategic diagram is constructed to compare these latent variables. Item response theory (IRT) is used to propose a method to measure teachers’ performance and subject relevance, also Latent Dirichlet allocation (LDA) is used to model textual data, and clustered in order to profile professors using students’ comments.Ítem Hacia un álgebra de Rook uniporte(Universidad de Valparaíso, 2022) Jorquera Sandoval, Eduardo; Flores, MarceloConsideremos el grupo lineal general G = G Ln (Fq ) y el monoide de matrices cuadradas n × n denotado por M = Mn (Fq ). Sean W el subgrupo de permutaciones de G , y U el subgrupo unipotente de G . El monoide de matrices no nulas en {0, 1} que contienen a lo sumo una entrada no nula por cada fila y en cada columna lo denotamos por R ⊃ W y es llamado monoide de Rook. R tiene el mismo rol para M que W para G en términos de la descomposición en dobles clases unipotentes. De forma análoga, en esta tesis trabajamos una descomposición respecto a matrices unipotentes para M .