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Author:

Li, Min (Li, Min.) | Xu, Dachuan (Xu, Dachuan.) (Scholars:徐大川) | Zhang, Dongmei (Zhang, Dongmei.) | Zou, Juan (Zou, Juan.)

Indexed by:

CPCI-S EI Scopus SCIE

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.

Keyword:

Separable set Spherical k-means clustering Approximation algorithm k-means problem Seeding algorithm

Author Community:

  • [ 1 ] [Li, Min]Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
  • [ 2 ] [Xu, Dachuan]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Dongmei]Shandong Jianzhu Univ, Sch Comp Sci & Technol, Jinan 250101, Peoples R China
  • [ 4 ] [Zou, Juan]Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

Reprint Author's Address:

  • [Zhang, Dongmei]Shandong Jianzhu Univ, Sch Comp Sci & Technol, Jinan 250101, Peoples R China

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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

Affiliated Colleges:

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