Topology and intelligent data analysis

Topology and intelligent data analysis
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拓扑与智能数据分析

DOI:
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发表时间:
2004
影响因子:
1.7
通讯作者:
E. Bradley
E. Bradley
中科院分区:
计算机科学4区
文献类型:
--
作者:
V. Robins;Jennifer Abernethy;N. Rooney;E. Bradley

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广泛的数学技术,从统计学到模糊逻辑,已经在智能数据分析中发挥了巨大的优势。拓扑学--形状的基本数学--迄今为止在这一系列作品中明显缺席。本文展示了如何拓扑,适当地重新制定了有限精度的世界,可以在智能数据分析任务。
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.