Swarm-Organized Topographic Mapping

Topographieerhaltende Abbildungen versuchen, hochdimensionale oder komplexe Datenbestände auf einen niederdimensionalen Ausgaberaum abzubilden, wobei die Topographie der Daten hinreichend gut wiedergegeben werden soll. Die Qualität solcher Abbildung hängt gewöhnlich vom eingesetzten Nachbarschaftsko...

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Bibliographic Details
Main Author: Herrmann, Lutz
Contributors: Ultsch, Alfred (Prof. Dr.) (Thesis advisor)
Format: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2011
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Online Access:PDF Full Text
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Topographic mappings try to project high-dimensional or complex data onto a low-dimensional output space while sufficiently preserving the topography of the data. The quality of obtained mappings depends critically on a suitable concept of neighbourhood. The Swarm-Organized Projection offers a solution to this parametrization problem by means of swarm intelligence. The practical usefulness of the proposed method was demonstrated by means of investigations in the fields of stock market analysis and molecular biology.