Contour approximation of data: A duality theory

İyigün, Cem
Ben-Israel, Adi
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.

Citation Formats
C. İyigün and A. Ben-Israel, “Contour approximation of data: A duality theory,” LINEAR ALGEBRA AND ITS APPLICATIONS, vol. 430, no. 10, pp. 2771–2780, 2009, Accessed: 00, 2020. [Online]. Available: