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Volumn 45, Issue 4, 2011, Pages 596-616

k-means Requires Exponentially Many Iterations Even in the Plane

Author keywords

k means; Local search; Lower bounds

Indexed keywords


EID: 79954632157     PISSN: 01795376     EISSN: 14320444     Source Type: Journal    
DOI: 10.1007/s00454-011-9340-1     Document Type: Article
Times cited : (193)

References (17)
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  • 7
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    • Cluster analysis of multivariate data: efficiency versus interpretability of classifications
    • Riverside, California1965Abstract in Biometrics
    • Forgy, E. W.: Cluster analysis of multivariate data: efficiency versus interpretability of classifications. In: Biometric Society Meeting, Riverside, California, 1965. Abstract in Biometrics, vol. 21, p. 768 (1965).
    • (1965) Biometric Society Meeting , vol.21 , pp. 768
    • Forgy, E.W.1
  • 9
    • 11244293701 scopus 로고    scopus 로고
    • How fast is the k-means method?
    • Har-Peled, S., Sadri, B.: How fast is the k-means method? Algorithmica 41(3), 185-202 (2005).
    • (2005) Algorithmica , vol.41 , Issue.3 , pp. 185-202
    • Har-Peled, S.1    Sadri, B.2
  • 10
    • 0033707141 scopus 로고    scopus 로고
    • Variance-based k-clustering algorithms by Voronoi diagrams and randomization
    • Inaba, M., Katoh, N., Imai, H.: Variance-based k-clustering algorithms by Voronoi diagrams and randomization. IEICE Trans. Inf. Syst. E83-D(6), 1199-1206 (2000).
    • (2000) IEICE Trans. Inf. Syst. , vol.E83-D , Issue.6 , pp. 1199-1206
    • Inaba, M.1    Katoh, N.2    Imai, H.3
  • 12
    • 0020102027 scopus 로고
    • Least squares quantization in PCM
    • Lloyd, S. P.: Least squares quantization in PCM. IEEE Trans. Inf. Theory 28(2), 129-136 (1982).
    • (1982) IEEE Trans. Inf. Theory , vol.28 , Issue.2 , pp. 129-136
    • Lloyd, S.P.1
  • 15
    • 4243066295 scopus 로고    scopus 로고
    • Smoothed analysis of algorithms: why the simplex algorithm usually takes polynomial time
    • Spielman, D. A., Teng, S.: Smoothed analysis of algorithms: why the simplex algorithm usually takes polynomial time. J. ACM 51(3), 385-463 (2004).
    • (2004) J. ACM , vol.51 , Issue.3 , pp. 385-463
    • Spielman, D.A.1    Teng, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.