메뉴 건너뛰기




Volumn 7, Issue 1, 2013, Pages 2065-2097

Inverse statistical learning

Author keywords

Classification; Deconvolution; Fast rates; Inverse problem; Statistical learning

Indexed keywords


EID: 84884963536     PISSN: 19357524     EISSN: None     Source Type: Journal    
DOI: 10.1214/13-EJS838     Document Type: Article
Times cited : (6)

References (32)
  • 1
    • 34547706430 scopus 로고    scopus 로고
    • Fast learning rates for plug-in classifiers
    • MR2336861
    • Audibert, J.-Y. and Tsybakov, A.B. Fast learning rates for plug-in classifiers. The Annals of Statistics, 35: 608-633, 2007. MR2336861
    • (2007) The Annals of Statistics , vol.35 , pp. 608-633
    • Audibert, J.-Y.1    Tsybakov, A.B.2
  • 4
    • 48849115978 scopus 로고    scopus 로고
    • Statistical performance of support vector machines
    • MR2396805
    • Blanchard, G., Bousquet, O., and Massart, P. Statistical performance of support vector machines. The Annals of Statistics, 36(2): 489-531, 2008. MR2396805
    • (2008) The Annals of Statistics , vol.36 , Issue.2 , pp. 489-531
    • Blanchard, G.1    Bousquet, O.2    Massart, P.3
  • 5
    • 0037561860 scopus 로고    scopus 로고
    • A bennet concentration inequality and its application to suprema of empirical processes
    • MR1890640
    • Bousquet, O. A bennet concentration inequality and its application to suprema of empirical processes. C. R. Acad. SCI. Paris Ser. I Math, 334: 495-500, 2002. MR1890640
    • (2002) C. R. Acad. SCI. Paris Ser. I Math , vol.334 , pp. 495-500
    • Bousquet, O.1
  • 6
    • 41449118443 scopus 로고    scopus 로고
    • Goodness-of-fit testing and quadratic functionnal estimation from indirect observations
    • MR2363957
    • Butucea, C. Goodness-of-fit testing and quadratic functionnal estimation from indirect observations. The Annals of Statistics, 35: 1907-1930, 2007. MR2363957
    • (2007) The Annals of Statistics , vol.35 , pp. 1907-1930
    • Butucea, C.1
  • 7
    • 44449170288 scopus 로고    scopus 로고
    • Nonparametric statistical inverse problems
    • MR2421941
    • Cavalier, L. Nonparametric statistical inverse problems. Inverse Problems, 24: 1-19, 2008. MR2421941
    • (2008) Inverse Problems , vol.24 , pp. 1-19
    • Cavalier, L.1
  • 8
    • 42349113705 scopus 로고    scopus 로고
    • On deconvolution with repeated measurements
    • MR2396811
    • Delaigle, A., Hall, P., and Meister, A. On deconvolution with repeated measurements. The Annals of Statistics, 36(2): 665-685, 2008. MR2396811
    • (2008) The Annals of Statistics , vol.36 , Issue.2 , pp. 665-685
    • Delaigle, A.1    Hall, P.2    Meister, A.3
  • 11
    • 0000867838 scopus 로고
    • On the optimal rates of convergence for nonparametric deconvolution problems
    • MR1126324
    • Fan, J. On the optimal rates of convergence for nonparametric deconvolution problems. The Annals of Statistics, 19: 1257-1272, 1991. MR1126324
    • (1991) The Annals of Statistics , vol.19 , pp. 1257-1272
    • Fan, J.1
  • 12
    • 33746194045 scopus 로고    scopus 로고
    • Local rademacher complexities and oracle inequalties in risk minimization
    • MR2329442
    • Koltchinskii, V. Local rademacher complexities and oracle inequalties in risk minimization. The Annals of Statistics, 34(6): 2593-2656, 2006. MR2329442
    • (2006) The Annals of Statistics , vol.34 , Issue.6 , pp. 2593-2656
    • Koltchinskii, V.1
  • 13
    • 84872017707 scopus 로고    scopus 로고
    • General non-exact oracle inequalities for classes with a subexponential envelope
    • MR2933668
    • Lecué, G. andMendelson, S. General non-exact oracle inequalities for classes with a subexponential envelope. The Annals of Statistics, 40(2): 832-860, 2012. MR2933668
    • (2012) The Annals of Statistics , vol.40 , Issue.2 , pp. 832-860
    • Lecué, G.1    Mendelson, S.2
  • 15
    • 84859038677 scopus 로고    scopus 로고
    • Penalized empirical risk minimization over Besov spaces
    • MR2534203
    • Loustau, S. Penalized empirical risk minimization over Besov spaces. Electronic Journal of Statistics, 3: 824-850, 2009. MR2534203
    • (2009) Electronic Journal of Statistics , vol.3 , pp. 824-850
    • Loustau, S.1
  • 18
    • 84884931721 scopus 로고    scopus 로고
    • Minimax fast rates in discriminant analysis with errors in variables
    • Loustau, S. and Marteau, C. Minimax fast rates in discriminant analysis with errors in variables. In revision to Bernoulli, 2013.
    • (2013) In revision to Bernoulli
    • Loustau, S.1    Marteau, C.2
  • 19
    • 0033234630 scopus 로고    scopus 로고
    • Smooth discrimination analysis
    • MR1765618
    • Mammen, E. and Tsybakov, A.B. Smooth discrimination analysis. The Annals of Statistics, 27(6): 1808-1829, 1999. MR1765618
    • (1999) The Annals of Statistics , vol.27 , Issue.6 , pp. 1808-1829
    • Mammen, E.1    Tsybakov, A.B.2
  • 20
    • 0000595627 scopus 로고    scopus 로고
    • Some applications of concentration inequalities to statistics
    • MR1813803
    • Massart, P. Some applications of concentration inequalities to statistics. Ann. Fac. Sci. Toulouse Math., 9(2): 245-303, 2000. MR1813803
    • (2000) Ann. Fac. Sci. Toulouse Math. , vol.9 , Issue.2 , pp. 245-303
    • Massart, P.1
  • 21
    • 33746243474 scopus 로고    scopus 로고
    • Risk bounds for statistical learning
    • MR2291502
    • Massart, P. and Nédélec, E. Risk bounds for statistical learning. The Annals of Statistics, 34(5): 2326-2366, 2006. MR2291502
    • (2006) The Annals of Statistics , vol.34 , Issue.5 , pp. 2326-2366
    • Massart, P.1    Nédélec, E.2
  • 23
    • 0001030653 scopus 로고
    • Measuring mass concentrations and estimating density contour clusters-An excess mass approach
    • MR1345204
    • Polonik, W. Measuring mass concentrations and estimating density contour clusters-An excess mass approach. The Annals of Statistics, 23(3): 855-881, 1995. MR1345204
    • (1995) The Annals of Statistics , vol.23 , Issue.3 , pp. 855-881
    • Polonik, W.1
  • 24
    • 0030489977 scopus 로고    scopus 로고
    • New concentration inequalities in product spaces
    • MR1419006
    • Talagrand, M. New concentration inequalities in product spaces. Invent. Math, 126: 505-563, 1996. MR1419006
    • (1996) Invent. Math , vol.126 , pp. 505-563
    • Talagrand, M.1
  • 26
    • 3142725508 scopus 로고    scopus 로고
    • Optimal aggregation of classifiers in statistical learning
    • MR2051002
    • Tsybakov, A.B. Optimal aggregation of classifiers in statistical learning. The Annals of Statistics, 32(1): 135-166, 2004b. MR2051002
    • (2004) The Annals of Statistics , vol.32 , Issue.1 , pp. 135-166
    • Tsybakov, A.B.1
  • 27
    • 23744505130 scopus 로고    scopus 로고
    • Square root penalty: Adaptation to the margin in classification and in edge estimation
    • MR2195633
    • Tsybakov, A.B. and van de Geer, S. Square root penalty: Adaptation to the margin in classification and in edge estimation. The Annals of Statistics, 33(3): 1203-1224, 2005. MR2195633
    • (2005) The Annals of Statistics , vol.33 , Issue.3 , pp. 1203-1224
    • Tsybakov, A.B.1    van de Geer, S.2
  • 31
    • 0003450542 scopus 로고    scopus 로고
    • Statistics for Engineering and Information Science, Springer,. MR1719582
    • Vapnik, V. The Nature of Statistical Learning Theory. Statistics for Engineering and Information Science, Springer, 2000. MR1719582
    • (2000) The Nature of Statistical Learning Theory
    • Vapnik, V.1
  • 32
    • 0035441827 scopus 로고    scopus 로고
    • Generalization per formance of regularization networks and support vector machines via entropy numbers of compact operators
    • MR1873936
    • Williamson, R.C., Smola, A.J., and Schölkopf, B. Generalization per formance of regularization networks and support vector machines via entropy numbers of compact operators. IEEE Transactions on Information Theory, 47(6): 2516-2532, 2001. MR1873936
    • (2001) IEEE Transactions on Information Theory , vol.47 , Issue.6 , pp. 2516-2532
    • Williamson, R.C.1    Smola, A.J.2    Schölkopf, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.