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Internal Categories with Irregular Geometry and Overlapping in ART Networks

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Current Topics in Artificial Intelligence (CAEPIA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4177))

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Abstract

PolyTope ARTMAP (PTAM) [6] is an ART neural network based on internal categories with irregular polytope (polygon in IRn) 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.

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© 2006 Springer-Verlag Berlin Heidelberg

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Gomes, D., Fernández-Delgado, M., Barro, S. (2006). Internal Categories with Irregular Geometry and Overlapping in ART Networks. In: Marín, R., Onaindía, E., Bugarín, A., Santos, J. (eds) Current Topics in Artificial Intelligence. CAEPIA 2005. Lecture Notes in Computer Science(), vol 4177. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881216_31

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  • DOI: https://doi.org/10.1007/11881216_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45914-9

  • Online ISBN: 978-3-540-45915-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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