Simultaneous application of clustering and correspondence analysis

A. Yamakawa, Yoshihiko Kanaumi, H. Ichihashi, T. Miyoshi · 2003

An algorithm which simultaneously applies the fuzzy c-means clustering algorithm and the correspondence analysis is developed. Maximization of an objective function yields membership of fuzzy clusters and assigns values to categories and individuals in the correspondence analysis. A regularization term is introduced into the objective function. The algorithms are Picard iteration through necessary conditions of the optimality for the objective function. An adaptive method using eigenvalues is introduced.

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