Topology Preservation in Self-Organizing Feature Maps: General Definition and Efficient Measurement

Th. Villmann, R. Der, M. Herrmann, Th. Martinetz

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract / Description of output

In this paper we present a new approach to the problem of measuring the topology preservation in SOFM. We introduce a precise definition of the meaning of that property and derive the so-called topographic function for its measuring based on the receptive fields of the neural units using explicitly the structure of the given data manifold.
Original languageEnglish
Title of host publicationFuzzy Logik
Subtitle of host publicationTheorie und Praxis 4. Dortmunder Fuzzy-Tage Dortmund, 6.–8. Juni 1994
EditorsBernd Reusch
Place of PublicationBerlin, Heidelberg
PublisherSpringer
Pages159-166
Number of pages8
ISBN (Electronic)978-3-642-79386-8
ISBN (Print) 978-3-540-58649-4
DOIs
Publication statusPublished - 1994

Publication series

NameInformatik aktuell
PublisherSpringer Berlin Heidelberg
ISSN (Print)1431-472X

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