V. Robins, J. Abernethy, N. Rooney, and E. Bradley, "Topology and intelligent data analysis," IDA-03 (International Workshop on Intelligent Data Analysis), Berlin; August 2003; to appear, Intelligent Data Analysis, 2004.

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.

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