Dynamic statistical classification

 

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Autoři: Pulido-Cejudo, Javier, Cuevas-Covarrubias, Carlos
Médium: artículo original
Stav:Versión publicada
Datum vydání:2017
Popis:We consider the statistical supervised classification problem from adynamical systems approach. We assume that two classes exist and that, for each one, a multivariate normal distribution determines the probability to be in a certain region in the n dimensional real vector space. These density functions are the potentials of corresponding gradient vector fields for each class; we construct a “classifying vector field” as a suitable weighted mean ofthem. From data known in the literature, we estimate the population parameters, and the classes are successfully distinguished; we compute and present confusion matrices. A one and two-dimensional analysis is given.
Země:Portal de Revistas UCR
Instituce:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Jazyk:Inglés
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/27774
On-line přístup:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/27774
Klíčové slovo:supervised statistical classification
multivariate normal distribution
vector fields
attractors
bifurcation
dynamical systems
Clasificación estadística supervisada
distribución normal multivariada
campos vectoriales
atractores
bifurcación
sistemas dinámicos