:: Volume 8, Issue 2 (5-2017) ::
IJOR 2017, 8(2): 2-24 Back to browse issues page
A DC Optimization Algorithm for Clustering Problems with $𝑳_𝟏$-norm
Adil Bagirov Dr. , Sona Taheri Dr.
Ph.D. Federation University Australia , a.bagirov@federation.edu.au
Abstract:   (144 Views)
Clustering problems with the similarity measure defined by the $𝐿_1$-norm are studied. Characterizations of different stationary points of these problems are given using their difference of convex representations. An algorithm for finding the Clarke stationary points of the clustering problems is designed and a clustering algorithm is developed based on it. The clustering algorithm finds a center of a data set at the first iteration and gradually adds one cluster center at each consecutive iteration. The proposed algorithm is tested using large real world data sets and compared with other clustering algorithms.
Keywords: Cluster analysis, Nonsmooth optimization, Smoothing techniques, Incremental algorithm.
Full-Text [PDF 1142 kb]   (50 Downloads)    
Type of Study: Original | Subject: Continuous Optimization
Received: 2018/05/28 | Accepted: 2018/05/28 | Published: 2018/05/28

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Volume 8, Issue 2 (5-2017) Back to browse issues page