Contour approximation of data: A duality theory

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Iyigun C., Ben-Israel A.

LINEAR ALGEBRA AND ITS APPLICATIONS, cilt.430, sa.10, ss.2771-2780, 2009 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 430 Sayı: 10
• Basım Tarihi: 2009
• Doi Numarası: 10.1016/j.laa.2009.01.023
• Dergi Adı: LINEAR ALGEBRA AND ITS APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.2771-2780
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Orta Doğu Teknik Üniversitesi Adresli: Evet

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.