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Volumn 3, Issue 4, 2009, Pages 1285-1294

Discussion of: Brownian distance covariance

Author keywords

Brownian distance covariance; Covariance operator; Independence testing; Kernel methods; Reproducing kernel Hilbert space

Indexed keywords


EID: 84862829001     PISSN: 19326157     EISSN: 19417330     Source Type: Journal    
DOI: 10.1214/09-AOAS312E     Document Type: Article
Times cited : (26)

References (31)
  • 1
    • 0011812771 scopus 로고    scopus 로고
    • Kernel independent component analysis
    • Bach, F. R. and Jordan, M. I. (2002). Kernel independent component analysis.J. Mach. Learn. Res. 3 1-48.
    • (2002) J. Mach. Learn. Res , vol.3 , pp. 1-48
    • Bach, F.R.1    Jordan, M.I.2
  • 2
    • 84966251435 scopus 로고
    • Joint measures and cross-covariance operators
    • Baker, C. (1973). Joint measures and cross-covariance operators. Trans. Amer. Math. Soc. 186 273-289.
    • (1973) Trans. Amer. Math. Soc , vol.186 , pp. 273-289
    • Baker, C.1
  • 3
    • 0040350036 scopus 로고    scopus 로고
    • Nonlinear canonical analysis and independence tests
    • Dauxois, J. and Nkiet, G. M. (1998). Nonlinear canonical analysis and independence tests. Ann. Statist. 26 1254-1278.
    • (1998) Ann. Statist , vol.26 , pp. 1254-1278
    • Dauxois, J.1    Nkiet, G.M.2
  • 4
    • 21344486242 scopus 로고
    • A consistent test for bivariate dependence
    • Feuerverger, A. (1993). A consistent test for bivariate dependence. International Statistical Review 61 419-433.
    • (1993) International Statistical Review , vol.61 , pp. 419-433
    • Feuerverger, A.1
  • 5
    • 4544371135 scopus 로고    scopus 로고
    • Dimensionality reduction for supervised learning with reproducing kernel Hilbert spaces
    • Fukumizu, K., Bach, F. R. and Jordan, M. I. (2004). Dimensionality reduction for supervised learning with reproducing kernel Hilbert spaces. J. Mach. Learn. Res. 5 73-99.
    • (2004) J. Mach. Learn. Res , vol.5 , pp. 73-99
    • Fukumizu, K.1    Bach, F.R.2    Jordan, M.I.3
  • 6
    • 33847186281 scopus 로고    scopus 로고
    • Statistical consistency of kernel canonical correlation analysis
    • Fukumizu, K., Bach, F. and Gretton, A. (2007). Statistical consistency of kernel canonical correlation analysis. J. Mach. Learn. Res. 8 361-383.
    • (2007) J. Mach. Learn. Res , vol.8 , pp. 361-383
    • Fukumizu, K.1    Bach, F.2    Gretton, A.3
  • 7
    • 68649121147 scopus 로고    scopus 로고
    • Kernel dimension reduction in regression
    • Fukumizu, K., Bach, F. R. and Jordanm M. I. (2009). Kernel dimension reduction in regression. Ann. Statist. 37 1871-1905.
    • (2009) Ann. Statist , vol.37 , pp. 1871-1905
    • Fukumizu, K.1    Bach, F.R.2    Jordanm, M.I.3
  • 10
    • 9444266406 scopus 로고    scopus 로고
    • On Graph Kernels: Hardness Results and Efficient Alternatives
    • In, (B. Schölkopf and M. K. Warmuth, eds.) Springer, Berlin
    • Gärtner, T., Flach, P. and Wrobel, S. (2003). On Graph Kernels: Hardness Results and Efficient Alternatives. In Proc. Annual Conf. Computational Learning Theory (B. Schölkopf and M. K. Warmuth, eds.) 129-143. Springer, Berlin.
    • (2003) Proc. Annual Conf. Computational Learning Theory , pp. 129-143
    • Gärtner, T.1    Flach, P.2    Wrobel, S.3
  • 11
    • 56749163705 scopus 로고    scopus 로고
    • Nonparametric independence tests: Space partitioning and kernel approaches
    • In, Springer, Berlin
    • Gretton, A. and Györfi, L. (2008). Nonparametric independence tests: Space partitioning and kernel approaches. In Algorithmic Learning Theory: 19th International Conference 183-198. Springer, Berlin.
    • (2008) Algorithmic Learning Theory: 19th International Conference , pp. 183-198
    • Gretton, A.1    Györfi, L.2
  • 18
    • 54649084158 scopus 로고    scopus 로고
    • A consistent modification of a test for independence based on the empirical characteristic function
    • Kankainen, A. and Ushakov, N. (1998). A consistent modification of a test for independence based on the empirical characteristic function. J. Math. Sci.89 1486-1494.
    • (1998) J. Math. Sci , vol.89 , pp. 1486-1494
    • Kankainen, A.1    Ushakov, N.2
  • 19
    • 85156187897 scopus 로고    scopus 로고
    • Mismatch string kernels for SVM protein classification
    • In, (S. Becker, S. Thrun and K. Obermayer, eds.) 15. MIT Press, Cambridge, MA
    • Leslie, C., Eskin, E., Weston, J. and Noble, W. S. (2002). Mismatch string kernels for SVM protein classification. In Advances in Neural Information Processing Systems (S. Becker, S. Thrun and K. Obermayer, eds.) 15. MIT Press, Cambridge, MA.
    • (2002) Advances in Neural Information Processing Systems
    • Leslie, C.1    Eskin, E.2    Weston, J.3    Noble, W.S.4
  • 23
    • 0002542168 scopus 로고
    • A quadratic measure of deviation of two-dimensional density estimates and a test of independence
    • Rosenblatt, M. (1975). A quadratic measure of deviation of two-dimensional density estimates and a test of independence. Ann. Statist. 3 1-14.
    • (1975) Ann. Statist , vol.3 , pp. 1-14
    • Rosenblatt, M.1
  • 28
    • 0010786475 scopus 로고    scopus 로고
    • On the influence of the kernel on the consistency of support vector machines
    • Steinwart, I. (2001). On the influence of the kernel on the consistency of support vector machines. J. Mach. Learn. Res. 2 67-93.
    • (2001) J. Mach. Learn. Res , vol.2 , pp. 67-93
    • Steinwart, I.1
  • 29
    • 50849124115 scopus 로고    scopus 로고
    • Measuring and testing independence by correlation of distances
    • Székely, G., Rizzo, M. and Bakirov, N. (2007). Measuring and testing independence by correlation of distances. Ann. Statist. 35 2769-2794.
    • (2007) Ann. Statist , vol.35 , pp. 2769-2794
    • Székely, G.1    Rizzo, M.2    Bakirov, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.