Topology and intelligent data analysis

Article type: Research Article

Authors: Robins, V.^a | Abernethy, J.^b | Rooney, N.^b | Bradley, E.^{b; *}

Affiliations: [a] Department of Applied Mathematics, Research School of Physical Sciences, The Australian National University, Canberra, Australia | [b] Department of Computer Science, University of Colorado, Boulder, CO, USA

Correspondence: [*] Corresponding author: Elizabeth Bradley, University of Colorado, Department of Computer Science, Boulder, CO 80309-0430, USA. Tel.: +1 303 492 5355; Fax: +1 303 492 2844; E-mail: Elizabeth.Bradley@Colorado.EDU

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.

DOI: 10.3233/IDA-2004-8507

Journal: Intelligent Data Analysis, vol. 8, no. 5, pp. 505-515, 2004