A combined measure for quantifying and qualifying the topology preservation of growing self-organizing maps

Delgado Sanz, Maria Soledad and Gonzalo Martín, Consuelo and Martínez Izquierdo, María Estíbaliz and Arquero Hidalgo, Águeda (2011). A combined measure for quantifying and qualifying the topology preservation of growing self-organizing maps. "Neurocomputing", v. 74 (n. 16); pp. 2624-2632. ISSN 0925-2312. https://doi.org/10.1016/j.neucom.2011.03.021.

Description

Title: A combined measure for quantifying and qualifying the topology preservation of growing self-organizing maps
Author/s:
  • Delgado Sanz, Maria Soledad
  • Gonzalo Martín, Consuelo
  • Martínez Izquierdo, María Estíbaliz
  • Arquero Hidalgo, Águeda
Item Type: Article
Título de Revista/Publicación: Neurocomputing
Date: September 2011
ISSN: 0925-2312
Volume: 74
Subjects:
Faculty: E.U. de Informática (UPM)
Department: Organización y Estructura de la Información [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The Self-OrganizingMap (SOM) is a neural network model that performs an ordered projection of a high dimensional input space in a low-dimensional topological structure. The process in which such mapping is formed is defined by the SOM algorithm, which is a competitive, unsupervised and nonparametric method, since it does not make any assumption about the input data distribution. The feature maps provided by this algorithm have been successfully applied for vector quantization, clustering and high dimensional data visualization processes. However, the initialization of the network topology and the selection of the SOM training parameters are two difficult tasks caused by the unknown distribution of the input signals. A misconfiguration of these parameters can generate a feature map of low-quality, so it is necessary to have some measure of the degree of adaptation of the SOM network to the input data model. The topologypreservation is the most common concept used to implement this measure. Several qualitative and quantitative methods have been proposed for measuring the degree of SOM topologypreservation, particularly using Kohonen's model. In this work, two methods for measuring the topologypreservation of the Growing Cell Structures (GCSs) model are proposed: the topographic function and the topology preserving map

More information

Item ID: 11222
DC Identifier: http://oa.upm.es/11222/
OAI Identifier: oai:oa.upm.es:11222
DOI: 10.1016/j.neucom.2011.03.021
Deposited by: Memoria Investigacion
Deposited on: 09 Jul 2012 07:53
Last Modified: 20 Apr 2016 19:22
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