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Volumn 22, Issue 1, 2009, Pages 101-108

Convex sets as prototypes for classifying patterns

Author keywords

Boundary projection; Convex hulls; Convex sets; Minimum enclosing balls; Nonparametric method; Pattern classification; Set covering

Indexed keywords

BOUNDARY PROJECTION; CONVEX HULLS; CONVEX SETS; MINIMUM ENCLOSING BALLS; NONPARAMETRIC METHOD; PATTERN CLASSIFICATION; SET COVERING;

EID: 58249091995     PISSN: 09521976     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engappai.2008.05.012     Document Type: Article
Times cited : (17)

References (30)
  • 1
    • 33644933469 scopus 로고    scopus 로고
    • Spanned patterns for the logical analysis of data
    • Alexe G., and Hammer P.L. Spanned patterns for the logical analysis of data. Discrete Applied Mathematics 154 7 (2006) 1039-1049
    • (2006) Discrete Applied Mathematics , vol.154 , Issue.7 , pp. 1039-1049
    • Alexe, G.1    Hammer, P.L.2
  • 2
    • 58249088776 scopus 로고    scopus 로고
    • Bennett, K.P., Bredensteiner, E.J., 2000. Duality and geometry in SVM classifiers. In: ICML'00: Proceedings of the 17th International Conference on Machine Learning, San Francisco, CA, USA. Morgan Kaufmann, Los Altos, CA, pp. 57-64.
    • Bennett, K.P., Bredensteiner, E.J., 2000. Duality and geometry in SVM classifiers. In: ICML'00: Proceedings of the 17th International Conference on Machine Learning, San Francisco, CA, USA. Morgan Kaufmann, Los Altos, CA, pp. 57-64.
  • 4
    • 58249085847 scopus 로고    scopus 로고
    • Blake, C., Merz, C., 1998. UCI repository of machine learning databases.
    • Blake, C., Merz, C., 1998. UCI repository of machine learning databases.
  • 5
    • 0040055951 scopus 로고    scopus 로고
    • Minimum distance to the complement of a convex set: Duality result
    • Briec W. Minimum distance to the complement of a convex set: Duality result. Journal of Optimization Theory and Applications 93 2 (1997) 301-319
    • (1997) Journal of Optimization Theory and Applications , vol.93 , Issue.2 , pp. 301-319
    • Briec, W.1
  • 8
    • 58249088213 scopus 로고    scopus 로고
    • DeVinney, J.G., 2003. The class cover problem and its application in pattern recognition. Ph.D. Thesis, The Johns Hopkins University.
    • DeVinney, J.G., 2003. The class cover problem and its application in pattern recognition. Ph.D. Thesis, The Johns Hopkins University.
  • 12
    • 58249092695 scopus 로고    scopus 로고
    • Fischer, K., Gärtner, B., Kutz, M., 2003. Fast smallest-enclosing-ball computation in high dimensions. In: Proceedings of the 11th Annual European Symposium on Algorithms (ESA).
    • Fischer, K., Gärtner, B., Kutz, M., 2003. Fast smallest-enclosing-ball computation in high dimensions. In: Proceedings of the 11th Annual European Symposium on Algorithms (ESA).
  • 13
    • 0022161165 scopus 로고
    • On the complexity of four polyhedral set containment problems
    • Freund R.M., and Orlin J.B. On the complexity of four polyhedral set containment problems. Mathematical Programming 33 (1985) 139-145
    • (1985) Mathematical Programming , vol.33 , pp. 139-145
    • Freund, R.M.1    Orlin, J.B.2
  • 15
    • 0027579358 scopus 로고
    • Computational complexity of inner and outer j-radii of polytopes in finite-dimensional normed spaces
    • Gritzmann P., and Klee V. Computational complexity of inner and outer j-radii of polytopes in finite-dimensional normed spaces. Mathematical Programming 59 (1993) 163-213
    • (1993) Mathematical Programming , vol.59 , pp. 163-213
    • Gritzmann, P.1    Klee, V.2
  • 16
    • 58249092089 scopus 로고    scopus 로고
    • Hastie, T., Tibshirani, R., Friedman, J.H., 2001. Prototype methods and nearest-neighbors. In: The Elements of Statistical Learning. Springer, New York, pp. 411-435 (Chapter 13).
    • Hastie, T., Tibshirani, R., Friedman, J.H., 2001. Prototype methods and nearest-neighbors. In: The Elements of Statistical Learning. Springer, New York, pp. 411-435 (Chapter 13).
  • 17
    • 0030126917 scopus 로고    scopus 로고
    • Construction of class regions by a randomized algorithm: a randomized subclass method
    • Kudo M., Yanagi S., and Shimbo M. Construction of class regions by a randomized algorithm: a randomized subclass method. Pattern Recognition 29 (1996) 581-588
    • (1996) Pattern Recognition , vol.29 , pp. 581-588
    • Kudo, M.1    Yanagi, S.2    Shimbo, M.3
  • 18
  • 20
    • 34047196763 scopus 로고    scopus 로고
    • Mavroforakis, M.E., Sdralis, M., Theodoridis, S., 2006. A novel SVM geometric algorithm based on reduced convex hulls. In: ICPR'06: Proceedings of the 18th International Conference on Pattern Recognition, Washington, DC, USA. IEEE Computer Soc. Press, Silver Spring, MD, pp. 564-568.
    • Mavroforakis, M.E., Sdralis, M., Theodoridis, S., 2006. A novel SVM geometric algorithm based on reduced convex hulls. In: ICPR'06: Proceedings of the 18th International Conference on Pattern Recognition, Washington, DC, USA. IEEE Computer Soc. Press, Silver Spring, MD, pp. 564-568.
  • 25
    • 26944433007 scopus 로고    scopus 로고
    • The convex subclass method: combinatorial classifier based on a family of convex sets
    • Perner P., and Imiya A. (Eds), Springer, Heidelberg, Berlin
    • Takigawa I., Kudo M., and Nakamura A. The convex subclass method: combinatorial classifier based on a family of convex sets. In: Perner P., and Imiya A. (Eds). Machine Learning and Data Mining in Pattern Recognition (MLDM 2005). LNAI, vol. 3587 (2005), Springer, Heidelberg, Berlin 90-99
    • (2005) Machine Learning and Data Mining in Pattern Recognition (MLDM 2005). LNAI, vol. 3587 , pp. 90-99
    • Takigawa, I.1    Kudo, M.2    Nakamura, A.3
  • 26
    • 0036101234 scopus 로고    scopus 로고
    • Minimum l1-distance projection onto the boundary of a convex set: simple characterization
    • Tuenter H.J.H. Minimum l1-distance projection onto the boundary of a convex set: simple characterization. Journal of Optimization Theory and Applications 112 2 (2002) 441-445
    • (2002) Journal of Optimization Theory and Applications , vol.112 , Issue.2 , pp. 441-445
    • Tuenter, H.J.H.1
  • 29
    • 58249088777 scopus 로고    scopus 로고
    • Zhou, D., Xiao, B., Zhou, H., 2004. Global geometry of SVM classifiers. Technical Report 30-5-02, Institute of Automation, Chinese Academy of Sciences.
    • Zhou, D., Xiao, B., Zhou, H., 2004. Global geometry of SVM classifiers. Technical Report 30-5-02, Institute of Automation, Chinese Academy of Sciences.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.