Construction of an optimal collective decision in cluster analysis on the basis of an averaged co-association matrix and cluster validity indices


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An ensemble clustering method is proposed that is based on a weight averaged co-association matrix. The ensemble includes various cluster analysis algorithms whose weights are calculated with the use of cluster validity indices. The properties of the ensemble are analyzed, a probabilistic model is described by which the relations between the characteristics of the ensemble and a quality estimate of a decision are determined, and a method is proposed for determining the optimal weights. The efficiency of the method is analyzed by statistical simulation.

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V. Berikov

Sobolev Institute of Mathematics, Siberian Branch; Novosibirsk State University

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Email: berikov@math.nsc.ru
俄罗斯联邦, pr. Akademika Koptyuga 4, Novosibirsk, 630090; Universitetskii pr. 2, Novosibirsk, 630090

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