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)
作者：
Highlights：
• 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.
• In each iteration of their proposed approach, they fixed cluster centers and used some conditions to obtain the optimal clusters memberships.
• 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.
摘要
•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.•In each iteration of their proposed approach, they fixed cluster centers and used some conditions to obtain the optimal clusters memberships.•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.
论文关键词：Fuzzy c-means,Enhanced soft subspace clustering,Convex,Concave
论文评审过程：Received 14 August 2016, Revised 2 December 2016, Accepted 8 October 2017, Available online 10 October 2017, Version of Record 6 February 2018.
论文官网地址：https://doi.org/10.1016/j.patcog.2017.10.011
