메뉴 건너뛰기




Volumn 21, Issue 4, 2005, Pages 1345-1361

Adaptive estimation for inverse problems with noisy operators

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; FUNCTIONS; MATHEMATICAL OPERATORS; RANDOM PROCESSES; SET THEORY; STATISTICAL METHODS;

EID: 23244442316     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/21/4/010     Document Type: Article
Times cited : (55)

References (22)
  • 2
    • 6344241008 scopus 로고    scopus 로고
    • Estimation in a problem of fractional integration
    • Cavalier L 2004 Estimation in a problem of fractional integration Inverse Problems 20 1445-54
    • (2004) Inverse Problems , vol.20 , Issue.5 , pp. 1445-1454
    • Cavalier, L.1
  • 4
    • 0036794647 scopus 로고    scopus 로고
    • Poisson intensity estimation for tomographic data using wavelet shrinkage approach
    • Cavalier L and Koo J-Y 2002 Poisson intensity estimation for tomographic data using wavelet shrinkage approach IEEE Trans. Inform. Theory 48 2794-802
    • (2002) IEEE Trans. Inform. Theory , vol.48 , Issue.10 , pp. 2794-2802
    • Cavalier, L.1    Koo, J.-Y.2
  • 5
    • 0036022583 scopus 로고    scopus 로고
    • Sharp adaptation for inverse problems with random noise
    • Cavalier L and Tsybakov A B 2002 Sharp adaptation for inverse problems with random noise Probab. Theory Relat. Fields 123 323-54
    • (2002) Probab. Theory Relat. Fields , vol.123 , Issue.3 , pp. 323-354
    • Cavalier, L.1    Tsybakov, A.B.2
  • 6
    • 0029288068 scopus 로고
    • Nonlinear solutions of linear inverse problems by wavelet-vaguelette decomposition
    • Donoho D L 1995 Nonlinear solutions of linear inverse problems by wavelet-vaguelette decomposition J. Appl. Comput. Harmon. Anal. 2 101-26
    • (1995) J. Appl. Comput. Harmon. Anal. , vol.2 , Issue.2 , pp. 101-126
    • Donoho, D.L.1
  • 8
    • 0041143760 scopus 로고
    • On optimal solutions of the deconvolution problem
    • Ermakov M 1990 On optimal solutions of the deconvolution problem Inverse Problems 6 863-72
    • (1990) Inverse Problems , vol.6 , Issue.5 , pp. 863-872
    • Ermakov, M.1
  • 9
    • 0000867838 scopus 로고
    • On the optimal rates of convergence for nonparametric deconvolution problems
    • Fan J 1991 On the optimal rates of convergence for nonparametric deconvolution problems Ann. Stat. 19 1257-72
    • (1991) Ann. Stat. , vol.19 , pp. 1257-1272
    • Fan, J.1
  • 10
    • 0142200827 scopus 로고    scopus 로고
    • An em algorithm for wavelet-based image restoration
    • Figueiredo M T and Nowak R D 2003 An EM algorithm for wavelet-based image restoration. IEEE Trans. Image Process. 12 906-16
    • (2003) IEEE Trans. Image Process. , vol.12 , Issue.8 , pp. 906-916
    • Figueiredo, M.T.1    Nowak, R.D.2
  • 13
    • 0000319983 scopus 로고
    • Speed of estimation in positron emission tomography and related inverse problems
    • Johnstone I M and Silverman B W 1990 Speed of estimation in positron emission tomography and related inverse problems Ann. Stat. 18 251-80
    • (1990) Ann. Stat. , vol.18 , pp. 251-280
    • Johnstone, I.M.1    Silverman, B.W.2
  • 14
    • 0030269038 scopus 로고    scopus 로고
    • Statistical estimation in Hilbert scale
    • Mair B and Ruymgaart F H 1996 Statistical estimation in Hilbert scale SIAM J. Appl. Math. 56 1424-44
    • (1996) SIAM J. Appl. Math. , vol.56 , Issue.5 , pp. 1424-1444
    • Mair, B.1    Ruymgaart, F.H.2
  • 15
    • 0034580744 scopus 로고    scopus 로고
    • Optimal discretization of inverse problems in Hilbert scales. Regularization and self-regularization of projection methods
    • Mathé P and Pereverzev S V 2001 Optimal discretization of inverse problems in Hilbert scales. Regularization and self-regularization of projection methods SIAM J. Numer. Anal. 38 1999-2021
    • (2001) SIAM J. Numer. Anal. , vol.38 , Issue.6 , pp. 1999-2021
    • Mathé, P.1    Pereverzev, S.V.2
  • 17
    • 0009373055 scopus 로고    scopus 로고
    • On the effect of estimating the error density in nonparametric deconvolution
    • Neumann M H 1997 On the effect of estimating the error density in nonparametric deconvolution J. Nonparametric Stat. 7 307-30
    • (1997) J. Nonparametric Stat. , vol.7 , pp. 307-330
    • Neumann, M.H.1
  • 18
    • 0000056062 scopus 로고
    • Optimal filtering of square integrable signals in Gaussian white noise
    • Pinsker M S 1980 Optimal filtering of square integrable signals in Gaussian white noise Problems Inform. Transm. 16 120-33
    • (1980) Problems Inform. Transm. , vol.16 , pp. 120-133
    • Pinsker, M.S.1
  • 19
    • 0142169402 scopus 로고    scopus 로고
    • Blind deconvolution using a regularized structured total least norm algorithm
    • Pruessner A and O'Leary D 2003 Blind deconvolution using a regularized structured total least norm algorithm SIAM J. Matrix Anal. Appl. 24 1018-37
    • (2003) SIAM J. Matrix Anal. Appl. , vol.24 , Issue.4 , pp. 1018-1037
    • Pruessner, A.1    O'Leary, D.2
  • 20
    • 0030606763 scopus 로고    scopus 로고
    • Asymptotic minimax rates for abstract linear estimators
    • van Rooij A C M and Ruymgaart F H 1996 Asymptotic minimax rates for abstract linear estimators J. Stat. Plan. Inference 53 389-402
    • (1996) J. Stat. Plan. Inference , vol.53 , Issue.3 , pp. 389-402
    • Van Rooij, A.C.M.1    Ruymgaart, F.H.2
  • 22
    • 0011481293 scopus 로고
    • The discrepancy principle for a class of regularization methods
    • Vainikko G 1982 The discrepancy principle for a class of regularization methods USSR Comput. Math. Math. Phys. 22 1-19 (Engl. Transl.)
    • (1982) USSR Comput. Math. Math. Phys. , vol.22 , Issue.3 , pp. 1-19
    • Vainikko, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.