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Volumn 15, Issue 6, 2003, Pages 1397-1437

Leave-one-out bounds for kernel methods

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EID: 0042879446     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/089976603321780326     Document Type: Article
Times cited : (100)

References (25)
  • 1
    • 21344492381 scopus 로고
    • Rates of convergence for minimum contrast estimators
    • Birgé, L., & Massart, P. (1993). Rates of convergence for minimum contrast estimators. Probab. Theory Related Fields, 97(1-2), 113-150.
    • (1993) Probab. Theory Related Fields , vol.97 , Issue.1-2 , pp. 113-150
    • Birgé, L.1    Massart, P.2
  • 5
    • 0001368656 scopus 로고
    • The jackknife estimate of variance
    • Efron, B., & Stein, C. (1981). The jackknife estimate of variance. Ann. Statist., 9(3), 586-596.
    • (1981) Ann. Statist. , vol.9 , Issue.3 , pp. 586-596
    • Efron, B.1    Stein, C.2
  • 10
    • 0033566418 scopus 로고    scopus 로고
    • Algorithmic stability and sanity-check bounds for leave-one-out cross-validation
    • Kearns, M., & Ron, D. (1999). Algorithmic stability and sanity-check bounds for leave-one-out cross-validation. Neural Computation, 21(6), 1427-1453.
    • (1999) Neural Computation , vol.21 , Issue.6 , pp. 1427-1453
    • Kearns, M.1    Ron, D.2
  • 11
    • 4243363746 scopus 로고    scopus 로고
    • Almost-everywhere algorithmic stability and generalization error
    • Chicago: University of Chicago
    • Kutin, S., & Niyogi, P. (2002). Almost-everywhere algorithmic stability and generalization error (Tech. Rep. TR-2002-03). Chicago: University of Chicago.
    • (2002) Tech. Rep. , vol.TR-2002-03
    • Kutin, S.1    Niyogi, P.2
  • 12
    • 0033460583 scopus 로고    scopus 로고
    • Approximation properties of zonal function networks using scattered data on the sphere
    • Mhaskar, H. N., Narcowich, F. J., & Ward, J. D. (1999). Approximation properties of zonal function networks using scattered data on the sphere. Adv. Comput. Math., 11(2-3), 121-137.
    • (1999) Adv. Comput. Math. , vol.11 , Issue.2-3 , pp. 121-137
    • Mhaskar, H.N.1    Narcowich, F.J.2    Ward, J.D.3
  • 13
    • 22044448694 scopus 로고    scopus 로고
    • Stability results for scattered-data interpolation on Euclidean spheres
    • Narcowich, F. J., Sivakumar, N., & Ward, J. D. (1998). Stability results for scattered-data interpolation on Euclidean spheres. Adv. Comput. Math., 8(3), 137-163.
    • (1998) Adv. Comput. Math. , vol.8 , Issue.3 , pp. 137-163
    • Narcowich, F.J.1    Sivakumar, N.2    Ward, J.D.3
  • 14
    • 0004267646 scopus 로고
    • Princeton, NJ: Princeton University Press
    • Rockafellar, R. T. (1970). Convex analysis. Princeton, NJ: Princeton University Press.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 15
    • 0001150838 scopus 로고
    • An Efron-Stein inequality for nonsymmetric statistics
    • Steele, J. M. (1986). An Efron-Stein inequality for nonsymmetric statistics. Ann. Statist., 14(2), 753-758.
    • (1986) Ann. Statist. , vol.14 , Issue.2 , pp. 753-758
    • Steele, J.M.1
  • 20
    • 0000764217 scopus 로고    scopus 로고
    • Error estimates for interpolation by compactly supported radial basis functions of minimal degree
    • Wendland, H. (1998). Error estimates for interpolation by compactly supported radial basis functions of minimal degree. J. Approx. Theory, 93(2), 258-272.
    • (1998) J. Approx. Theory , vol.93 , Issue.2 , pp. 258-272
    • Wendland, H.1
  • 21
    • 0033233737 scopus 로고    scopus 로고
    • Information-theoretic determination of minimax rates of convergence
    • Yang, Y., & Barron, A. (1999). Information-theoretic determination of minimax rates of convergence. Annals of Statistics, 27, 1564-1599.
    • (1999) Annals of Statistics , vol.27 , pp. 1564-1599
    • Yang, Y.1    Barron, A.2
  • 22
    • 84880171586 scopus 로고    scopus 로고
    • A leave-one-out cross validation bound for kernel methods with applications in learning
    • Berlin: Springer-Verlag
    • Zhang, T. (2001). A leave-one-out cross validation bound for kernel methods with applications in learning. In 14th Annual Conference on Computational Learning Theory (pp. 427-443). Berlin: Springer-Verlag.
    • (2001) 14th Annual Conference on Computational Learning Theory , pp. 427-443
    • Zhang, T.1
  • 23
    • 0042276471 scopus 로고    scopus 로고
    • Generalization performance of some learning problems in Hilbert functional spaces
    • T. G. Dietterich, S. Becker, & Z. Ghahramani (Eds.), Cambridge, MA: MIT Press
    • Zhang, T. (2002a). Generalization performance of some learning problems in Hilbert functional spaces. In T. G. Dietterich, S. Becker, & Z. Ghahramani (Eds.), Advances in neural information processing systems, 14. Cambridge, MA: MIT Press.
    • (2002) Advances in Neural Information Processing Systems , vol.14
    • Zhang, T.1
  • 24
    • 0036158505 scopus 로고    scopus 로고
    • On the dual formulation of regularized linear systems
    • Zhang, T. (2002b). On the dual formulation of regularized linear systems. Machine Learning, 46, 91-129.
    • (2002) Machine Learning , vol.46 , pp. 91-129
    • Zhang, T.1
  • 25
    • 4644257995 scopus 로고    scopus 로고
    • Statistical behavior and consistency of classification methods based on convex risk minimization
    • in press
    • Zhang, T. (in press). Statistical behavior and consistency of classification methods based on convex risk minimization. Annals of Statitics.
    • Annals of Statitics
    • Zhang, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.