Topology and intelligent data analysis

Topology and intelligent data analysis

A broad range of mathematical techniques, ranging from statistics to fuzzy logic, have been used to great advantage in intelligent data analysis. Topology - the fundamental mathematics of shape - has to date been conspicuously absent from this repertoire. This paper shows how topology, properly refo...

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Veröffentlicht in:Intelligent data analysis 2004, Vol.8 (5), p.505-515
Hauptverfasser: Robins, V., Abernethy, J., Rooney, N., Bradley, E.
Format: Artikel
Sprache:eng
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Zusammenfassung:A broad range of mathematical techniques, ranging from statistics to fuzzy logic, have been used to great advantage in intelligent data analysis. Topology - the fundamental mathematics of shape - has to date been conspicuously absent from this repertoire. This paper shows how topology, properly reformulated for a finite-precision world, can be useful in intelligent data analysis tasks.
ISSN:1088-467X
1571-4128
DOI:10.3233/IDA-2004-8507