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Abstract:
In order to cluster the textual data with high dimension in modern data analysis, the spherical k-means clustering is presented. It aims to partition the given points with unit length into k sets so as to minimize the within-cluster sum of cosine dissimilarity. In this paper, we mainly study seeding algorithms for spherical k-means clustering, for its special case (with separable sets), as well as for its generalized problem (alpha spherical k-means clustering). About the spherical k-means clustering with separable sets, an approximate algorithm with a constant factor is presented. Moreover, it can be generalized to the alpha-spherical separable k-means clustering. By slickly constructing a useful function, we also show that the famous seeding algorithms such as k-means++ and k-means|| for k-means problem can be applied directly to solve the alpha-spherical k-means clustering. Except for theoretical analysis, the numerical experiment is also included.
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Source :
JOURNAL OF GLOBAL OPTIMIZATION
ISSN: 0925-5001
Year: 2020
Issue: 4
Volume: 76
Page: 695-708
1 . 8 0 0
JCR@2022
ESI Discipline: ENGINEERING;
ESI HC Threshold:115
Cited Count:
WoS CC Cited Count: 37
SCOPUS Cited Count: 35
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 3
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