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

被引：9
|
作者：
Li, Min [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
JOURNAL OF COMBINATORIAL OPTIMIZATION | 2022年 / 44卷 / 03期
关键词：
Approximation algorithm; k-means problem with penalties; Spherical k-means clustering; Seeding algorithm;
D O I：
10.1007/s10878-020-00537-9
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
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.
引用
收藏
页码：1693 / 1704
页数：12
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