Factorial K-means analysis (FKM) and Reduced K-means analysis (RKM) are clustering methods that aim at simultaneously achieving a clustering of the objects and a dimension reduction of the variables. Because a comprehensive comparison between FKM and RKM is lacking in the literature so far, a...

Let be a given nn square symmetric matrix of nonnegative elements between 0 and 1, similarities. Fuzzy clustering results in fuzzy assignment of individuals to K clusters. In additive fuzzy clustering, the nK fuzzy memberships matrix is found by least-squares approximation of the off-diagonal...

Generalized Procrustes analysis is a popular method for matching several configurations by translations, rotations/reflections and scaling constants. It aims at producing a group average from these Euclidean similarity transformations followed by bi-linear approximation of this group average for...