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Volumn 13, Issue , 2012, Pages 1263-1291

Minimax manifold estimation

Author keywords

Manifold learning; Minimax estimation

Indexed keywords

HAUSDORFF DISTANCE; MANIFOLD LEARNING; MINIMAX; MINIMAX ESTIMATIONS; OPTIMAL RATE OF CONVERGENCE; RATE OF CONVERGENCE;

EID: 84862015357     PISSN: 15324435     EISSN: 15337928     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (124)

References (19)
  • 4
    • 84867940824 scopus 로고    scopus 로고
    • Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees
    • F. Chazal and A. Lieutier. Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees. Computational Geometry, 40:156-170, 2008.
    • (2008) Computational Geometry , vol.40 , pp. 156-170
    • Chazal, F.1    Lieutier, A.2
  • 7
    • 0000476095 scopus 로고
    • Detection of abnormal behavior via nonparametric estimation of the support
    • L. Devroye and G. Wise. Detection of abnormal behavior via nonparametric estimation of the support. SIAM Journal on Applied Mathematics, 38:480-488, 1980.
    • (1980) SIAM Journal on Applied Mathematics , vol.38 , pp. 480-488
    • Devroye, L.1    Wise, G.2
  • 13
    • 0001786903 scopus 로고
    • Convergence of estimates under dimensionality restrictions
    • L. LeCam. Convergence of estimates under dimensionality restrictions. The Annals of Statistics, pages 38-53, 1973.
    • (1973) The Annals of Statistics , pp. 38-53
    • LeCam, L.1
  • 15
    • 40349102105 scopus 로고    scopus 로고
    • Finding the homology of submanifolds with high confidence from random samples
    • P. Niyogi, S. Smale, and S. Weinberger. Finding the homology of submanifolds with high confidence from random samples. Discrete and Computational Geometry, 39:419-441, 2006.
    • (2006) Discrete and Computational Geometry , vol.39 , pp. 419-441
    • Niyogi, P.1    Smale, S.2    Weinberger, S.3
  • 17
    • 21844517288 scopus 로고
    • Probability inequalities for likelihood ratios and convergence rates of sieve mles
    • X. Shen and W. Wong. Probability inequalities for likelihood ratios and convergence rates of sieve mles. The Annals of Statistics, 23:339-362, 1995.
    • (1995) The Annals of Statistics , vol.23 , pp. 339-362
    • Shen, X.1    Wong, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.