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.
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container_title Intelligent data analysis
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creator Robins, V.
Abernethy, J.
Rooney, N.
Bradley, E.
description 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.
doi_str_mv 10.3233/IDA-2004-8507
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