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    NCU Institutional Repository > 理學院 > 數學系 > 期刊論文 >  Item 987654321/109280


    請使用永久網址來引用或連結此文件: https://ir.lib.ncu.edu.tw/handle/987654321/109280


    題名: Self-updating clustering algorithm for estimating the parameters in mixtures of von Mises distributions
    作者: 洪文良;Hung, Wen-Liang;Chang-Chien, Shou-Jen;Yang, Miin-Shen
    貢獻者: 理學院數學系
    關鍵詞: Algorithms;circular data;Clustering;Clusters;Convergence;Estimating;Fuzzy logic;Mathematical analysis;Mathematical models;Maximum likelihood method;mixtures of von Mises distributions;Optimization algorithms;Parameter estimation;Probability distribution;robust;self-updating process;Studies
    日期: 2012-10-01
    上傳時間: 2026-04-23 16:22:10 (UTC+8)
    出版者: Routledge;Abingdon: Taylor & Francis
    摘要: 摘要: The EM algorithm is the standard method for estimating the parameters in finite mixture models. Yang and Pan [25] proposed a generalized classification maximum likelihood procedure, called the fuzzy c-directions (FCD) clustering algorithm, for estimating the parameters in mixtures of von Mises distributions. Two main drawbacks of the EM algorithm are its slow convergence and the dependence of the solution on the initial value used. The choice of initial values is of great importance in the algorithm-based literature as it can heavily influence the speed of convergence of the algorithm and its ability to locate the global maximum. On the other hand, the algorithmic frameworks of EM and FCD are closely related. Therefore, the drawbacks of FCD are the same as those of the EM algorithm. To resolve these problems, this paper proposes another clustering algorithm, which can self-organize local optimal cluster numbers without using cluster validity functions. These numerical results clearly indicate that the proposed algorithm is superior in performance of EM and FCD algorithms. Finally, we apply the proposed algorithm to two real data sets.
    出版者: Abingdon: Taylor & Francis
    出版日期: 2012-10
    出處: Journal of applied statistics, 2012-10, Vol.39 (10), p.2259-2274
    資源來源: Taylor & Francis Online
    版權: Copyright Taylor & Francis Group, LLC 2012
    版權: Copyright Taylor & Francis Ltd. 2012
    識別號: ISSN: 0266-4763
    識別號: EISSN: 1360-0532
    識別號: DOI: 10.1080/02664763.2012.706268
    顯示於類別:[數學系] 期刊論文

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