Comment on “Enhanced soft subspace clustering integrating within-cluster and between-cluster information” by Z. Deng et al. (Pattern Recognition, vol. 43, pp. 767–781, 2010)

Abstract

This paper comments on the published work dealing with "Enhanced soft subspace clustering integrating within-cluster and between-cluster information" (Pattern Recognition, vol. 43, pp. 767–781, 2010) proposed by Z. Deng et al. Their clustering approach is based on a new mathematical model with two groups of variables: cluster centers and clusters memberships. They proposed an iterative algorithm to obtain the solution of this model. In each iteration, they fixed cluster centers and used some conditions to obtain the optimal clusters memberships. In this paper, we further analysis their approach and show that the mentioned conditions are necessary and sufficient condition for optimality of clusters memberships when cluster centers are fixed.