One-mode three-way overlapping cluster analysis

Authors:
Satoru Yokoyama;Atsuho Nakayama;Akinori Okada
Affiliations:
School of Science for Open and Environmental Systems, Graduate School of Science and Technology, Keio University, Tokyo, Japan;College of Business, Rikkyo (St. Paul's) University, Tokyo, Japan;Tama Graduate School of Management and Information Sciences, Tama University, Tokyo, Japan
Venue:
Computational Statistics
Year:
2009

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Abstract

The present paper introduces an overlapping cluster analysis model and an associated algorithm that can analyze one-mode three-way similarities. The present model is an extension of ADCLUS model, and the present algorithm is based on the MAPCLUS algorithm. In the present model, one-mode three-way similarities are represented by the sum of the numerical weights of clusters to which any triplet of objects belongs. The present model and algorithm were applied to joint purchase data, and compared the result with that of MAPCLUS to show that the present model is effective in representing one-mode three-way similarities.