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Volumn 56, Issue 4, 2010, Pages 2034-2040

Rates of convergence of the functional k-nearest neighbor estimate

Author keywords

Compact embedding; Nearest neighbor estimate; Rates of convergence; Regression estimation; Reproducing kernel Hilbert space; Sobolev space

Indexed keywords

COMPACT EMBEDDING; NEAREST NEIGHBORS; RATES OF CONVERGENCE; REGRESSION ESTIMATION; REPRODUCING KERNEL HILBERT SPACES; SOBOLEV SPACE;

EID: 77950220460     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2010.2040857     Document Type: Article
Times cited : (58)

References (18)
  • 5
    • 0003909532 scopus 로고
    • Discriminatory analysis. Nonparametric discrimination: Consistency properties
    • Randolph Field, TX, Tech. Rep. 4, Project No. 21-49-1004
    • E. Fix and J. L. Hodges, "Discriminatory analysis. Nonparametric discrimination: Consistency properties," USAF Schl. Aviat. Med., Randolph Field, TX, Tech. Rep. 4, Project No. 21-49-1004, 1951.
    • (1951) USAF Schl. Aviat. Med.
    • Fix, E.1    Hodges, J.L.2
  • 6
    • 0004036637 scopus 로고
    • Discriminatory analysis: Small sample performance
    • Randolph Field, TX, Tech. Rep. 11, Project No. 21-49-1004
    • E. Fix and J. L. Hodges, "Discriminatory analysis: Small sample performance," USAF Schl. Aviat. Med., Randolph Field, TX, Tech. Rep. 11, Project No. 21-49-1004, 1952.
    • (1952) USAF Schl. Aviat. Med.
    • Fix, E.1    Hodges, J.L.2
  • 8
    • 0000388992 scopus 로고
    • Consistent nonparametric regression
    • C. J. Stone, "Consistent nonparametric regression," Ann. Stat., vol.5, pp. 595-645, 1977.
    • (1977) Ann. Stat. , vol.5 , pp. 595-645
    • Stone, C.J.1
  • 9
    • 33846119781 scopus 로고    scopus 로고
    • Nearest neighbor classification in infinite dimension
    • F. Cérou and A. Guyader, "Nearest neighbor classification in infinite dimension," ESAIM Probab. Stat., vol.10, pp. 340-355, 2006.
    • (2006) ESAIM Probab. Stat. , vol.10 , pp. 340-355
    • Cérou, F.1    Guyader, A.2
  • 10
    • 84926662675 scopus 로고
    • Nearest neighbor pattern classification
    • Jan.
    • T. M. Cover and P. E. Hart, "Nearest neighbor pattern classification," IEEE Trans. Inf. Theory, vol.1, no.1, pp. 21-27, Jan. 1967.
    • (1967) IEEE Trans. Inf. Theory , vol.1 , Issue.1 , pp. 21-27
    • Cover, T.M.1    Hart, P.E.2
  • 11
    • 0010148406 scopus 로고
    • Gaussian measures and the density theorem
    • D. Preiss, "Gaussian measures and the density theorem," Comment. Math. Univ. Carolin., vol.1, pp. 181-193, 1981.
    • (1981) Comment. Math. Univ. Carolin. , vol.1 , pp. 181-193
    • Preiss, D.1
  • 12
    • 0029341263 scopus 로고
    • Rates of convergence of nearest neighbor estimation under arbitrary sampling
    • Jul.
    • S. R. Kulkarni and S. E. Posner, "Rates of convergence of nearest neighbor estimation under arbitrary sampling," IEEE Trans. Inf. Theory, vol.41, no.4, pp. 1028-1039, Jul. 1995.
    • (1995) IEEE Trans. Inf. Theory , vol.41 , Issue.4 , pp. 1028-1039
    • Kulkarni, S.R.1    Posner, S.E.2
  • 13
    • 0000624821 scopus 로고
    • Entropy and capacity of sets in functional spaces
    • A. N. Kolmogorov and V. M. Tihomirov, "Eentropy and capacity of sets in functional spaces," Amer. Math. Soc. Transl., vol.17, pp. 277-364, 1961.
    • (1961) Amer. Math. Soc. Transl. , vol.17 , pp. 277-364
    • Kolmogorov, A.N.1    Tihomirov, V.M.2
  • 16
    • 5844297152 scopus 로고
    • Theory of reproducing kernels
    • N. Aronszajn, "Theory of reproducing kernels," Trans. Amer. Math. Soc., vol.68, pp. 337-404, 1950.
    • (1950) Trans. Amer. Math. Soc. , vol.68 , pp. 337-404
    • Aronszajn, N.1
  • 17
    • 0036071370 scopus 로고    scopus 로고
    • On the mathematical foundations of learning
    • F. Cucker and S. Smale, "On the mathematical foundations of learning," Bull. Amer. Math. Soc., vol.39, pp. 1-49, 2002.
    • (2002) Bull. Amer. Math. Soc. , vol.39 , pp. 1-49
    • Cucker, F.1    Smale, S.2
  • 18
    • 0036748375 scopus 로고    scopus 로고
    • The covering number in learning theory
    • D.-X. Zhou, "The covering number in learning theory," J. Complexity, vol.18, pp. 739-767, 2002.
    • (2002) J. Complexity , vol.18 , pp. 739-767
    • Zhou, D.-X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.