Topology and intelligent data analysis

  • Authors:
  • V. Robins;J. Abernethy;N. Rooney;E. Bradley

  • Affiliations:
  • Department of Applied Mathematics, Research School of Physical Sciences, The Australian National University, Canberra, Australia;Department of Computer Science, University of Colorado, Boulder, CO, USA;Department of Computer Science, University of Colorado, Boulder, CO, USA;(Correspd. Univ. of Colorado, Dept. of Comp. Sci., Boulder, CO 80309-0430, USA. Tel.: +1 303 492 5355/ Fax: +1 303 492 2844/ Elizabeth.Bradley@Colorado.EDU) Dept. of Comp. Sci., Univ. of Colorado, ...

  • Venue:
  • Intelligent Data Analysis
  • Year:
  • 2004

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Abstract

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.