The bi-criteria seeding algorithms for two variants of k-means problem

Min Li ()
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Min Li: Shandong Normal University

Journal of Combinatorial Optimization, 2022, vol. 44, issue 3, No 15, 1693-1704

Abstract: Abstract The k-means problem is very classic and important in computer science and machine learning, so there are many variants presented depending on different backgrounds, such as the k-means problem with penalties, the spherical k-means clustering, and so on. Since the k-means problem is NP-hard, the research of its approximation algorithm is very hot. In this paper, we apply a bi-criteria seeding algorithm to both k-means problem with penalties and spherical k-means problem, and improve (upon) the performance guarantees given by the k-means++ algorithm for these two problems.

Keywords: Approximation algorithm; k-means problem with penalties; Spherical k-means clustering; Seeding algorithm (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10878-020-00537-9

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