• Journals
  • Discipline
  • Indexed
  • Institutions
  • About
JavaScript is disabled for your browser. Some features of this site may not work without it.
View Item 
  •   Home
  • Universidad de la Frontera
  • Cubo: A Mathematical Journal
  • View Item
  •   Home
  • Universidad de la Frontera
  • Cubo: A Mathematical Journal
  • View Item

Multiple general sigmoids based Banach space valued neural network multivariate approximation

Author
Anastassiou, George A.

Full text
https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3579
10.56754/0719-0646.2503.411
Abstract
Here we present multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or \(\mathbb{R}^{N},\) \(N\in \mathbb{N}\), by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature type neural network operators. We treat also the case of approximation by iterated operators of the last four types. These approximations are derived by establishing multidimensional Jackson type inequalities involving the multivariate modulus of continuity of the engaged function or its high order Fréchet derivatives. Our multivariate operators are defined by using a multidimensional density function induced by several different among themselves general sigmoid functions. This is done on the purpose to activate as many as possible neurons. The approximations are pointwise and uniform. The related feed-forward neural network is with one hidden layer. We finish with related \(L_{p}\) approximations.
Metadata
Show full item record

Related items

Showing items related by title, author, creator and subject.

  • The persistence of «Living as a Mapuche». An approximation to the ethnic identity of the mapuche community Folil Mapu, in the Region of Maule, Chile 

    Vergara, Francisca. CUHSO · Cultura - Hombre - Sociedad; Vol. 26, Núm. 2 (2016): Julio - Diciembre; 175-207
  • VARIANZA ANALITICA Y APROXIMADA DEL COSTO TOTAL DE UN PROYECTO 

    Skitmore, Martin. Revista Ingeniería de Construcción; Vol 16, No 1 (2001); 19-26
  • Movilidad urbana en la Patagonia norte argentina: una aproximación a la ciudad turística de San Carlos de Bariloche 

    Medina, Víctor Damián. Investigaciones Geográficas; Núm. 57 (2019)
Discipline
Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
Institutions
Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

LoginRegister
Dirección de Servicios de Información y Bibliotecas (SISIB) - Universidad de Chile
© 2019 Dspace - Modificado por SISIB