CciMST: A Clustering Algorithm Based on Minimum Spanning Tree and Cluster Centers. (17th December 2018)

• Record Type: Journal Article
• Authors: Lv, Xiaobo; Ma, Yan; He, Xiaofu; Huang, Hui; Yang, Jie
• Other Names: Papakostas George A. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2018(2018)
• Publication Date: 2018-12-17
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2018/8451796
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The minimum spanning tree- (MST-) based clustering method can identify clusters of arbitrary shape by removing inconsistent edges. The definition of the inconsistent edges is a major issue that has to be addressed in all MST-based clustering algorithms. In this paper, we propose a novel MST-based clustering algorithm through the cluster center initialization algorithm, called cciMST. First, in order to capture the intrinsic structure of the data sets, we propose the cluster center initialization algorithm based on geodesic distance and dual densities of the points. Second, we propose and demonstrate that the inconsistent edge is located on the shortest path between the cluster centers, so we can find the inconsistent edge with the length of the edges as well as the densities of their endpoints on the shortest path. Correspondingly, we obtain two groups of clustering results. Third, we propose a novel intercluster separation by computing the distance between the points at the intersection of clusters. Furthermore, we propose a new internal clustering validation measure to select the best clustering result. The experimental results on the synthetic data sets, real data sets, and image data sets demonstrate the good performance of the proposed MST-based method.