Definición de semiproductos escalares útiles en análisis de datos

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφέας: Trejos-Zelaya, Javier
Μορφή: artículo original
Κατάσταση:Versión publicada
Ημερομηνία έκδοσης:2004
Περιγραφή:We develop the theory necessary for Data Analysis with inner semiproducts, extending tha classical concepts of inner products usually employed. For this, we use the basic algebraic definitions of non degenerated bilinear forms and develop all the algebraic tools needed. We study the most important operators on the individual space, such as the VM and the MV operators. We also study the case of the inner semiproduct of weights in the variable space, which corresponds to the introduction of supplementary individuals in the case of null weights. Finally, we arrive to the usual concepts of Principal Component Analysis.
Χώρα:Portal de Revistas UCR
Ίδρυμα:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Γλώσσα:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/242
Διαθέσιμο Online:https://revistas.ucr.ac.cr/index.php/matematica/article/view/242
Access Level:acceso abierto
Λέξη-Κλειδί :inner semiproducts
non degenerated bilinear forms
semimetrics
orthogonal projection operator
principal component analysis
semiproductos escalares
formas bilineales no degeneradas
semimétricas
operador de proyección ortogonal
análisis en componentes principales