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Contour approximation of data: A duality theory
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Date
2009-05-01
Author
İyigün, Cem
Ben-Israel, Adi
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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Given a dataset D partitioned in clusters, the joint distance function (JDF)J(x) at any point x is the harmonic mean of the distances between x and the cluster centers. The JDF is a continuous function, capturing the data points in its lower level sets (a property called contour approximation), and is a useful concept in probabilistic clustering and data analysis.
Subject Keywords
Geometry and Topology
,
Algebra and Number Theory
,
Numerical Analysis
,
Discrete Mathematics and Combinatorics
URI
https://hdl.handle.net/11511/48395
Journal
LINEAR ALGEBRA AND ITS APPLICATIONS
DOI
https://doi.org/10.1016/j.laa.2009.01.023
Collections
Department of Industrial Engineering, Article