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Volumn 5755 LNAI, Issue , 2009, Pages 327-340

Minimum sum-of-squares clustering by DC programming and DCA

Author keywords

Clustering; Combinatorial optimization; DC programming; DCA; Exact penalty; MSSC; Nonsmooth nonconvex programming

Indexed keywords

CLUSTERING; DC PROGRAMMING; DCA; EXACT PENALTY; MSSC; NONSMOOTH NONCONVEX PROGRAMMING;

EID: 70350759411     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-04020-7_35     Document Type: Conference Paper
Times cited : (12)

References (33)
  • 1
    • 70350749467 scopus 로고    scopus 로고
    • Aloise, D., Deshpande, A., Hansen, P., Popat, P.: Np-hardness of Euclidean Sumof-squares Clustering, Cahiers du GERAD, G-2008-33 (2008)
    • Aloise, D., Deshpande, A., Hansen, P., Popat, P.: Np-hardness of Euclidean Sumof-squares Clustering, Cahiers du GERAD, G-2008-33 (2008)
  • 4
    • 33746451728 scopus 로고    scopus 로고
    • A Repetitive Branch-and-bound Procedure for Minimum Withincluster Sum of Squares Partitioning
    • Brusco, M.J.: A Repetitive Branch-and-bound Procedure for Minimum Withincluster Sum of Squares Partitioning. Psychometrika 71, 347-363 (2006)
    • (2006) Psychometrika , vol.71 , pp. 347-363
    • Brusco, M.J.1
  • 5
    • 0242652097 scopus 로고    scopus 로고
    • Feature Selection and Document Clustering
    • Berry, M.W, ed, Springer, Heidelberg
    • Dhilon, I.S., Korgan, J., Nicholas, C.: Feature Selection and Document Clustering. In: Berry, M.W. (ed.) A Comprehensive Survey of Text Mining, pp. 73-100. Springer, Heidelberg (2003)
    • (2003) A Comprehensive Survey of Text Mining , pp. 73-100
    • Dhilon, I.S.1    Korgan, J.2    Nicholas, C.3
  • 7
    • 0002181972 scopus 로고
    • Optimal Algorithms for Approximate Clustering
    • Feder, T., Greene, D.: Optimal Algorithms for Approximate Clustering. In: Proc. STOC (1988)
    • (1988) Proc. STOC
    • Feder, T.1    Greene, D.2
  • 8
    • 0343442766 scopus 로고
    • Knowledge Acquisition via Incremental Conceptual Clustering
    • Fisher, D.: Knowledge Acquisition via Incremental Conceptual Clustering. Machine Learning 2, 139-172 (1987)
    • (1987) Machine Learning , vol.2 , pp. 139-172
    • Fisher, D.1
  • 9
    • 0000014486 scopus 로고
    • Cluster Analysis of Multivariate Date: Efficiency vs. Interpretability of Classifications
    • Forgy, E.: Cluster Analysis of Multivariate Date: Efficiency vs. Interpretability of Classifications. Biometrics, 21-768 (1965)
    • (1965) Biometrics , vol.21-768
    • Forgy, E.1
  • 10
    • 70350774112 scopus 로고    scopus 로고
    • Jancey, R.C., Botany, J.: Multidimensional Group Analysis. Australian, 14-127 (1966)
    • Jancey, R.C., Botany, J.: Multidimensional Group Analysis. Australian, 14-127 (1966)
  • 14
    • 0001445010 scopus 로고    scopus 로고
    • Solving a Class of Linearly Constrained Indefinite Quadratic Problems by DC Algorithms
    • Le, T.H.A., Pham, D.T.: Solving a Class of Linearly Constrained Indefinite Quadratic Problems by DC Algorithms. Journal of Global Optimization 11, 253-285 (1997)
    • (1997) Journal of Global Optimization , vol.11 , pp. 253-285
    • Le, T.H.A.1    Pham, D.T.2
  • 15
    • 15244346000 scopus 로고    scopus 로고
    • The DC (Difference of Convex Functions) Programming and DCA Revisited with DC Models of Real World Nonconvex Optimization Problems
    • Le, T.H.A., Pham, D.T.: The DC (Difference of Convex Functions) Programming and DCA Revisited with DC Models of Real World Nonconvex Optimization Problems. Annals of Operations Research 133, 23-46 (2005)
    • (2005) Annals of Operations Research , vol.133 , pp. 23-46
    • Le, T.H.A.1    Pham, D.T.2
  • 16
    • 70350761728 scopus 로고    scopus 로고
    • Le, T.H.A., Pham, D.T., Huynh, V.: Ngai, Exact penalty in DC Programming, Technical Report. LMI, INSA-Rouen (2005)
    • Le, T.H.A., Pham, D.T., Huynh, V.: Ngai, Exact penalty in DC Programming, Technical Report. LMI, INSA-Rouen (2005)
  • 17
    • 33847251003 scopus 로고    scopus 로고
    • A New Efficient Algorithm Based on DC Programming and DCA for Clustering
    • Le, T.H.A., Belghiti, T., Pham, D.T.: A New Efficient Algorithm Based on DC Programming and DCA for Clustering. Journal of Global Optimization 37, 593-608 (2007)
    • (2007) Journal of Global Optimization , vol.37 , pp. 593-608
    • Le, T.H.A.1    Belghiti, T.2    Pham, D.T.3
  • 20
  • 23
    • 0001457509 scopus 로고
    • Some Methods for Classification and Analysis of Multivariate Observations
    • University of California Press, Berkeley
    • MacQueen, J.B.: Some Methods for Classification and Analysis of Multivariate Observations. In: Proceedings of 5-th Berkeley Symposium on Mathematical Statistics and Probability, vol. 1, pp. 281-297. University of California Press, Berkeley (1967)
    • (1967) Proceedings of 5-th Berkeley Symposium on Mathematical Statistics and Probability , vol.1 , pp. 281-297
    • MacQueen, J.B.1
  • 24
    • 0033296944 scopus 로고    scopus 로고
    • An Interior Point Algorithm for Minimum Sum of Squares Clustering
    • Merle, O.D., Hansen, P., Jaumard, B., Mladenovi'c, N.: An Interior Point Algorithm for Minimum Sum of Squares Clustering. SIAM J. Sci. Comput. 21, 1485-1505 (2000)
    • (2000) SIAM J. Sci. Comput , vol.21 , pp. 1485-1505
    • Merle, O.D.1    Hansen, P.2    Jaumard, B.3    Mladenovi'c, N.4
  • 25
    • 35048871635 scopus 로고    scopus 로고
    • Neumann, J., Schnörr, C., Steidl, G.: SVM-based feature selection by direct objective minimisation. In: Rasmussen, C.E., Bülthoff, H.H., Schölkopf, B., Giese, M.A. (eds.) DAGM 2004. LNCS, 3175, pp. 212-219. Springer, Heidelberg (2004)
    • Neumann, J., Schnörr, C., Steidl, G.: SVM-based feature selection by direct objective minimisation. In: Rasmussen, C.E., Bülthoff, H.H., Schölkopf, B., Giese, M.A. (eds.) DAGM 2004. LNCS, vol. 3175, pp. 212-219. Springer, Heidelberg (2004)
  • 27
    • 0032081028 scopus 로고    scopus 로고
    • DC Optimization Algorithms for Solving the Trust Region Subproblem
    • Pham, D.T., Le, T.H.A.: DC Optimization Algorithms for Solving the Trust Region Subproblem. SIAM J. Optimization 8, 476-505 (1998)
    • (1998) SIAM J. Optimization , vol.8 , pp. 476-505
    • Pham, D.T.1    Le, T.H.A.2
  • 28
    • 0000950204 scopus 로고    scopus 로고
    • Cluster analysis and mathematical programming
    • Hansen, P., Jaumard, B.: Cluster analysis and mathematical programming. Mathematical Programming 79, 191-215 (1997)
    • (1997) Mathematical Programming , vol.79 , pp. 191-215
    • Hansen, P.1    Jaumard, B.2
  • 31
    • 0242679446 scopus 로고    scopus 로고
    • Shen, X., Tseng, G.C., Zhang, X., Wong, W.H.: ψ -Learning. Journal of American Statistical Association 98, 724-734 (2003)
    • Shen, X., Tseng, G.C., Zhang, X., Wong, W.H.: ψ -Learning. Journal of American Statistical Association 98, 724-734 (2003)
  • 32
    • 25444530947 scopus 로고    scopus 로고
    • A global Optimization RLT-based Approach for Solving the Hard Clustering Problem
    • Sherali, H.D., Desai, J.: A global Optimization RLT-based Approach for Solving the Hard Clustering Problem. Journal of Global Optimization 32, 281-306 (2005)
    • (2005) Journal of Global Optimization , vol.32 , pp. 281-306
    • Sherali, H.D.1    Desai, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.