Internal Categories with Irregular Geometry and Overlapping in ART Networks

  • Dinani Gomes
  • Manuel Fernández-Delgado
  • Senén Barro
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4177)


PolyTope ARTMAP (PTAM) [6] is an ART neural network based on internal categories with irregular polytope (polygon in IR n ) geometry. Categories in PTAM do not overlap, so that their expansion is limited by the other categories, and not by the category size. This makes the vigilance parameter unnecessary. What happens if categories have irregular geometries but overlap is allowed? This paper presents Overlapping PTAM (OPTAM), an alternative to PTAM based on polytope overlapping categories, which tries to answer this question. The comparison between the two approaches in classification tasks shows that category overlap does not reduce neither the classification error nor the number of categories, and it also requires vigilance as a tuning parameter. Futhermore, OPTAM provides a significant variability in the results among different data sets.


Internal Category Input Pattern Category Size Output Prediction Irregular Geometry 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Dinani Gomes
    • 1
  • Manuel Fernández-Delgado
    • 1
  • Senén Barro
    • 1
  1. 1.Intelligent Systems Group, Dept. of Electronics and Computer ScienceUniversity of Santiago de CompostelaSantiago de Compostela, A CoruñaSpain

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