On the relation between the association strength and other similarity measures | Zendy

Egghe Leo | Zendy

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On the relation between the association strength and other similarity measures

Author(s) -

Egghe Leo

Publication year - 2010

Publication title -

journal of the american society for information science and technology

Language(s) - English

Resource type - Journals

eISSN - 1532-2890

pISSN - 1532-2882

DOI - 10.1002/asi.21285

Subject(s) - jaccard index , mathematics , similarity (geometry) , relation (database) , association (psychology) , combinatorics , graph , pure mathematics , discrete mathematics , statistics , artificial intelligence , computer science , data mining , philosophy , epistemology , cluster analysis , image (mathematics)

A graph in van Eck and Waltman [ JASIST , 60(8), 2009, p. 1644], representing the relation between the association strength and the cosine, is partially explained as a sheaf of parabolas, each parabola being the functional relation between these similarity measures on the trajectories $\vec {X} \cdot \vec {Y} = a $ , a constant. Based on earlier obtained relations between cosine and other similarity measures (e.g., Jaccard index), we can prove new relations between the association strength and these other measures.

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