Summary
Against the background that one-mode clustering, which is based on similarity or dissimilarity data, is well known and widely used, quite a number of generalizations of the basic clustering methodology have been developed. For so-called two-mode data we report on research within the area of two-mode clustering and describe the new AE (Alternating Exchanges) algorithm. For non- overlapping two-mode clustering this algorithm is based on the exchange of the cluster membership of elements from the sets of different modes. Therefore, it is simple and very fast. The results of applying this algorithm to several concrete data sets are compared to those of an own PENCLUS (PENalty CLUStering) approach.
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References
Carroll, J.D., and Arabie, P. (1980): Multidimensional Scaling. Annual Review of Psychology, 31, 607–649.
Diday, E. (1987): Orders and Overlapping Clusters by Pyramids. Rapports de Recherche No. 730, Octobre 1987, INRIA, Paris.
Diday, E., and Bertrand, P. (1986): An Extension of Hierarchical Clustering: The Pyramidal Presentation. In: E.S. Gelsema and L.N. Kanal (eds.): Pattern Recognition in Practice II. Amsterdam, North-Holland, 411–424.
Eckes, T. (1995): Recent Developments in Multimode Clustering. In: W. Gaul and D. Pfeifer (eds.): From Data to Knowledge. Springer, Heidelberg, 151–158.
Gaul, W., and Schader, M. (1994): Pyramidal Classification Based on Incomplete Dissimilarity Data. Journal of Classification,! 1, 171–193.
Gaul, W., and Schader, M. (eds.) (1994): Wissensbasierte Datenanalyse. Lang, Frankfurt.
Schader, M., and Gaul, W. (1991): Pyramidal Clustering with Missing Values. In: E. Diday, and Y. Lechevallier (eds): Symbolic-Numeric Data Analysis and Learning. Nova Science, 523–534.
Schader, M., and Gaul, W. (1992): The MVL (Missing Values Linkage) Approach for Hierarchical Classification when Data are Incomplete. In: M. Schader (ed): Analyzing and Modeling Data and Knowledge. Springer, Berlin-Heidelberg, 107–115.
Shepard, R.N., and Arabie, P. (1979): Additive Clustering: Representation of Similarities as Combination of Discrete Overlapping Properties. Psychological Review, 86, 87–123.
De Soete, G. (1984): Ultrametric Tree Representations of Incomplete Dissimilarity Data. Journal of Classification, 1, 235–242.
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© 1996 Springer-Verlag Berlin · Heidelberg
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Gaul, W., Schader, M. (1996). A New Algorithm for Two-Mode Clustering. In: Bock, HH., Polasek, W. (eds) Data Analysis and Information Systems. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80098-6_2
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DOI: https://doi.org/10.1007/978-3-642-80098-6_2
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