A Learning-Based EM Clustering for Circular Data with Unknown Number of Clusters


  • Shou-Jen Chang-Chien Department of Applied Mathematics, Chung Yuan Christian University, Taoyuan, Taiwan
  • Wajid Ali Department of Applied Mathematics, Chung Yuan Christian University, Taoyuan, Taiwan
  • Miin-Shen Yang Department of Applied Mathematics, Chung Yuan Christian University, Taoyuan, Taiwan




clustering, circular data, mixtures of von Mises distributions, EM algorithm, learning schema


Clustering is a method for analyzing grouped data. Circular data were well used in various applications, such as wind directions, departure directions of migrating birds or animals, etc. The expectation & maximization (EM) algorithm on mixtures of von Mises distributions is popularly used for clustering circular data. In general, the EM algorithm is sensitive to initials and not robust to outliers in which it is also necessary to give a number of clusters a priori. In this paper, we consider a learning-based schema for EM, and then propose a learning-based EM algorithm on mixtures of von Mises distributions for clustering grouped circular data. The proposed clustering method is without any initial and robust to outliers with automatically finding the number of clusters. Some numerical and real data sets are used to compare the proposed algorithm with existing methods. Experimental results and comparisons actually demonstrate these good aspects of effectiveness and superiority of the proposed learning-based EM algorithm.


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How to Cite

S.-J. Chang-Chien, W. Ali, and M.-S. Yang, “A Learning-Based EM Clustering for Circular Data with Unknown Number of Clusters”, Proc. eng. technol. innov., vol. 15, pp. 42–51, Apr. 2020.