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A General Coefficient of Similarity and Some of Its Properties

Biometrics · 1971 · Vol. 27(4) · pp. 857–857

Abstract

A general coefficient measuring the similarity between two sampling units is defined. The matrix of similarities between all pairs of sample units is shown to be positive semidefinite (except possibly when there are missing values). This is important for the multidimensional Euclidean representation of the sample and also establishes some inequalities amongst the similarities relating three individuals. The definition is extended to cope with a hierarchy of characters.

Neural Networks and ApplicationsFace and Expression RecognitionImage Retrieval and Classification TechniquesSimilarity (geometry)MathematicsSample (material)Representation (politics)HierarchyEuclidean distanceStatisticsEuclidean geometryCombinatoricsPure mathematics

Funding

  • National Institutes of Health
  • University of North Carolina at Chapel Hill
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