메뉴 건너뛰기




Volumn 33, Issue 4, 2005, Pages 1455-1496

Complexities of convex combinations and bounding the generalization error in classification

Author keywords

Classification; Convex combination; Convex hull; Empirical margin distribution; Empirical process; Generalization error; Margin

Indexed keywords


EID: 26444607491     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053605000000228     Document Type: Article
Times cited : (38)

References (34)
  • 2
    • 0042967689 scopus 로고    scopus 로고
    • Data-dependent margin-based generalization bounds for classification
    • ANTOS, A., KÉGL, B., LINDER, T. and LUGOSI, G. (2002). Data-dependent margin-based generalization bounds for classification. J. Mach. Learn. Res. 3 73-98.
    • (2002) J. Mach. Learn. Res. , vol.3 , pp. 73-98
    • Antos, A.1    Kégl, B.2    Linder, T.3    Lugosi, G.4
  • 3
    • 4944233194 scopus 로고    scopus 로고
    • Aggregated estimators and empirical complexity for least square regression
    • AUDIBERT, J.-Y. (2004). Aggregated estimators and empirical complexity for least square regression. Ann. Inst. H. Poincaré Probab. Statist. 40 685-736.
    • (2004) Ann. Inst. H. Poincaré Probab. Statist. , vol.40 , pp. 685-736
    • Audibert, J.-Y.1
  • 4
    • 0032028728 scopus 로고    scopus 로고
    • The sample complexity of pattern classification with neural networks: The size of the weights is more important than the size of the network
    • BARTLETT, P. (1998). The sample complexity of pattern classification with neural networks: The size of the weights is more important than the size of the network. IEEE Trans. Inform. Theory 44 525-536.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , pp. 525-536
    • Bartlett, P.1
  • 7
    • 3042675892 scopus 로고    scopus 로고
    • On the rate of convergence of regularized boosting classifiers
    • BLANCHARD, G., LUGOSI, G. and VAYATIS, N. (2004). On the rate of convergence of regularized boosting classifiers. J. Mach. Learn. Res. 4 861-894.
    • (2004) J. Mach. Learn. Res. , vol.4 , pp. 861-894
    • Blanchard, G.1    Lugosi, G.2    Vayatis, N.3
  • 9
    • 0030211964 scopus 로고    scopus 로고
    • Bagging predictors
    • BREIMAN, L. (1996). Bagging predictors. Machine Learning 24 123-140.
    • (1996) Machine Learning , vol.24 , pp. 123-140
    • Breiman, L.1
  • 10
    • 0346786584 scopus 로고    scopus 로고
    • Arcing classifiers
    • BREIMAN, L. (1998). Arcing classifiers (with discussion). Ann. Statist. 26 801-849.
    • (1998) Ann. Statist. , vol.26 , pp. 801-849
    • Breiman, L.1
  • 11
    • 0000275022 scopus 로고    scopus 로고
    • Prediction games and arcing algorithms
    • BREIMAN, L. (1999). Prediction games and arcing algorithms. Neural Computation 11 1493-1517.
    • (1999) Neural Computation , vol.11 , pp. 1493-1517
    • Breiman, L.1
  • 14
    • 0000996139 scopus 로고
    • Sphere packing numbers for subsets of the Boolean n-cube with bounded Vapnik-Chervonenkis dimension
    • HAUSSLER, D. (1995). Sphere packing numbers for subsets of the Boolean n-cube with bounded Vapnik-Chervonenkis dimension. J. Combin. Theory Ser. A 69 217-232.
    • (1995) J. Combin. Theory Ser. A , vol.69 , pp. 217-232
    • Haussler, D.1
  • 15
    • 26444545593 scopus 로고    scopus 로고
    • Process consistency for AdaBoost
    • JIANG, W. (2004). Process consistency for AdaBoost. Ann. Statist. 32 13-29.
    • (2004) Ann. Statist. , vol.32 , pp. 13-29
    • Jiang, W.1
  • 18
    • 0001166808 scopus 로고    scopus 로고
    • Rademacher processes and bounding the risk of function learning
    • (E. Giné, D. Mason and J. Wellner, eds.). Birkhäuser, Boston
    • KOLTCHINSKII, V. and PANCHENKO, D. (2000). Rademacher processes and bounding the risk of function learning. In High Dimensional Probability II (E. Giné, D. Mason and J. Wellner, eds.) 443-459. Birkhäuser, Boston.
    • (2000) High Dimensional Probability II , pp. 443-459
    • Koltchinskii, V.1    Panchenko, D.2
  • 19
    • 0036104545 scopus 로고    scopus 로고
    • Empirical margin distributions and bounding the generalization error of combined classifiers
    • KOLTCHINSKII, V. and PANCHENKO, D. (2002). Empirical margin distributions and bounding the generalization error of combined classifiers. Ann. Statist. 30 1-50.
    • (2002) Ann. Statist. , vol.30 , pp. 1-50
    • Koltchinskii, V.1    Panchenko, D.2
  • 21
    • 0037274322 scopus 로고    scopus 로고
    • Bounding the generalization error of convex combinations of classifiers: Balancing the dimensionality and the margins
    • KOLTCHINSKII, V., PANCHENKO, D. and LOZANO, F. (2003). Bounding the generalization error of convex combinations of classifiers: Balancing the dimensionality and the margins. Ann. Appl. Probab. 13 213-252.
    • (2003) Ann. Appl. Probab. , vol.13 , pp. 213-252
    • Koltchinskii, V.1    Panchenko, D.2    Lozano, F.3
  • 22
    • 9444269961 scopus 로고    scopus 로고
    • On the Bayes-risk consistency of regularized boosting methods
    • LUGOSI, G. and VAYATIS, N. (2004). On the Bayes-risk consistency of regularized boosting methods. Ann. Statist. 32 30-55.
    • (2004) Ann. Statist. , vol.32 , pp. 30-55
    • Lugosi, G.1    Vayatis, N.2
  • 24
    • 0347979483 scopus 로고    scopus 로고
    • A note on Talagrand's concentration inequality
    • PANCHENKO, D. (2001). A note on Talagrand's concentration inequality. Electron. Comm. Probab. 6 55-65.
    • (2001) Electron. Comm. Probab. , vol.6 , pp. 55-65
    • Panchenko, D.1
  • 25
    • 0347349284 scopus 로고    scopus 로고
    • Some extensions of an inequality of Vapnik and Chervonenkis
    • PANCHENKO, D. (2002). Some extensions of an inequality of Vapnik and Chervonenkis. Electron. Comm. Probab. 7 55-65.
    • (2002) Electron. Comm. Probab. , vol.7 , pp. 55-65
    • Panchenko, D.1
  • 26
    • 0347593390 scopus 로고    scopus 로고
    • Symmetrization approach to concentration inequalities for empirical processes
    • PANCHENKO, D. (2003). Symmetrization approach to concentration inequalities for empirical processes. Ann. Probab. 31 2068-2081.
    • (2003) Ann. Probab. , vol.31 , pp. 2068-2081
    • Panchenko, D.1
  • 27
    • 0003345901 scopus 로고
    • Remarques sur un résultat non publié de B. Maurey
    • École Polytechnic, Palaiseau. Exp.
    • PISIER, G. (1981). Remarques sur un résultat non publié de B. Maurey. In Seminar on Functional Analysis, 1980-1981, École Polytechnic, Palaiseau. Exp. no. V, 13 pp.
    • (1981) Seminar on Functional Analysis, 1980-1981 , vol.5
    • Pisier, G.1
  • 28
    • 0032280519 scopus 로고    scopus 로고
    • Boosting the margin: A new explanation for the effectiveness of voting methods
    • SCHAPIRE, R., FREUND, Y., BARTLETT, P. and LEE, W. S. (1998). Boosting the margin: A new explanation for the effectiveness of voting methods. Ann. Statist. 26 1651-1686.
    • (1998) Ann. Statist. , vol.26 , pp. 1651-1686
    • Schapire, R.1    Freund, Y.2    Bartlett, P.3    Lee, W.S.4
  • 29
    • 0033281701 scopus 로고    scopus 로고
    • Improved boosting algorithms using confidence-rated predictions
    • SCHAPIRE, R. and SINGER, Y. (1999). Improved boosting algorithms using confidence-rated predictions. Machine Learning 37 297-336.
    • (1999) Machine Learning , vol.37 , pp. 297-336
    • Schapire, R.1    Singer, Y.2
  • 30
    • 4644354708 scopus 로고    scopus 로고
    • Sparseness of support vector machines
    • STEINWART, I. (2004). Sparseness of support vector machines. J. Mach. Learn. Res. 4 1071-1105.
    • (2004) J. Mach. Learn. Res. , vol.4 , pp. 1071-1105
    • Steinwart, I.1
  • 33
    • 4644257995 scopus 로고    scopus 로고
    • Statistical behavior and consistency of classification methods based on convex risk minimization
    • ZHANG, T. (2004). Statistical behavior and consistency of classification methods based on convex risk minimization. Ann. Statist. 32 56-85.
    • (2004) Ann. Statist. , vol.32 , pp. 56-85
    • Zhang, T.1
  • 34
    • 26444493144 scopus 로고    scopus 로고
    • Boosting with early stopping: Convergence and consistency
    • ZHANG, T. and YU, B. (2005). Boosting with early stopping: Convergence and consistency. Ann. Statist. 33 1538-1579.
    • (2005) Ann. Statist. , vol.33 , pp. 1538-1579
    • Zhang, T.1    Yu, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.