Contour approximation of data: A duality theory


Creative Commons License

Iyigun C. , Ben-Israel A.

LINEAR ALGEBRA AND ITS APPLICATIONS, cilt.430, ss.2771-2780, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 430 Konu: 10
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.laa.2009.01.023
  • Dergi Adı: LINEAR ALGEBRA AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.2771-2780

Özet

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.