메뉴 건너뛰기




Volumn 23, Issue 5, 2007, Pages 2121-2139

A componentwise iterated relative entropy regularization method with updated prior and regularization parameter

Author keywords

[No Author keywords available]

Indexed keywords

DATA REDUCTION; INVERSE PROBLEMS; PARAMETER ESTIMATION; THEOREM PROVING; VARIATIONAL TECHNIQUES;

EID: 41449095679     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/23/5/018     Document Type: Article
Times cited : (17)

References (41)
  • 1
    • 0030134074 scopus 로고    scopus 로고
    • Maximum entropy reconstruction using derivative information 1: Fisher's information
    • Borwein J M, Lewis A and Noll D 1996 Maximum entropy reconstruction using derivative information 1: Fisher's information Math. Oper. Res. 21 442-68
    • (1996) Math. Oper. Res. , vol.21 , Issue.2 , pp. 442-468
    • Borwein, J.M.1    Lewis, A.2    Noll, D.3
  • 2
    • 84944818276 scopus 로고
    • Maximum entropy and the foundations of direct methods
    • Bricogne G 1984 Maximum entropy and the foundations of direct methods Acta Crystallogr. A 40 410-45
    • (1984) Acta Crystallogr. , vol.40 , Issue.4 , pp. 410-445
    • Bricogne, G.1
  • 3
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • Candés E J, Romberg J K and Tao T 2006 Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information IEEE Trans. Inf. Theory 52 489-509
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.2 , pp. 489-509
    • Candés, E.J.1    Romberg, J.K.2    Tao, T.3
  • 4
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • Candés E J, Romberg J K and Tao T 2006 Stable signal recovery from incomplete and inaccurate measurements Commun. Pure Appl. Math. 59 1207-23
    • (2006) Commun. Pure Appl. Math. , vol.59 , Issue.8 , pp. 1207-1223
    • Candés, E.J.1    Romberg, J.K.2    Tao, T.3
  • 7
    • 0025595687 scopus 로고
    • Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems
    • Csiszar I 1991 Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems Ann. Stat. 19 2032-66
    • (1991) Ann. Stat. , vol.19 , pp. 2032-2066
    • Csiszar, I.1
  • 10
    • 0343650333 scopus 로고
    • Maximum entropy regularization for Fredholm integral equations of the first kind
    • Eggermont P P B 1993 Maximum entropy regularization for Fredholm integral equations of the first kind SIAM J. Math. Anal. 24 1557-76
    • (1993) SIAM J. Math. Anal. , vol.24 , Issue.6 , pp. 1557-1576
    • Eggermont, P.P.B.1
  • 12
    • 0027684933 scopus 로고
    • Convergence rates for maximum entropy regularization
    • Engl H W and Landl G 1993 Convergence rates for maximum entropy regularization SIAM J. Numer. Anal. 30 1509-36
    • (1993) SIAM J. Numer. Anal. , vol.30 , Issue.5 , pp. 1509-1536
    • Engl, H.W.1    Landl, G.2
  • 13
    • 0036683968 scopus 로고    scopus 로고
    • Inverse problems as statistics
    • Evans S N and Stark P B 2002 Inverse problems as statistics Inverse Problems 18 55-97
    • (2002) Inverse Problems , vol.18 , pp. 55-97
    • Evans, S.N.1    Stark, P.B.2
  • 14
    • 41449110159 scopus 로고    scopus 로고
    • Electron tomography: A short overview with an emphasis on the absorption potential model for the forward problem
    • Fanelli D and ktem O 2007 Electron tomography: a short overview with an emphasis on the absorption potential model for the forward problem Inverse Problems at press
    • (2007) Inverse Problems
    • Fanelli, D.1    Ktem, O.2
  • 15
    • 33645235265 scopus 로고    scopus 로고
    • Structural basis of hepatocyte growth factor/scatter factor and MET signalling
    • Gherardi E et al 2006 Structural basis of hepatocyte growth factor/scatter factor and MET signalling Proc. Natl Acad. Sci. 103 4046-51
    • (2006) Proc. Natl Acad. Sci. , vol.103 , Issue.11 , pp. 4046-4051
    • Gherardi, E.1    Al, E.2
  • 18
    • 0036796440 scopus 로고    scopus 로고
    • The inverse problem of emission tomography
    • Gourion D and Noll D 2002 The inverse problem of emission tomography Inverse Problems 18 1435-60
    • (2002) Inverse Problems , vol.18 , Issue.5 , pp. 1435-1460
    • Gourion, D.1    Noll, D.2
  • 19
    • 0036347958 scopus 로고    scopus 로고
    • Minimizing a quadratic over a sphere
    • Hager W 2001 Minimizing a quadratic over a sphere SIAM J. Optim. 12 188-208
    • (2001) SIAM J. Optim. , vol.12 , Issue.1 , pp. 188-208
    • Hager, W.1
  • 20
    • 0003739233 scopus 로고
    • Principles of electron optics
    • Hawkes P W and Kasper E 1994 Principles of electron optics Wave Optics vol 3 (New York: Academic)
    • (1994) Wave Optics , vol.3
    • Hawkes, P.W.1    Kasper, E.2
  • 21
    • 0342315690 scopus 로고    scopus 로고
    • A trust region method for norm constrained problems
    • Heinkenschloss M 1998 A trust region method for norm constrained problems SIAM J. Numer. Anal. 35 1594-620
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.4 , pp. 1594-1620
    • Heinkenschloss, M.1
  • 22
    • 0033682338 scopus 로고    scopus 로고
    • Adaptive image reconstruction using information measures
    • Hermann U and Noll D 2000 Adaptive image reconstruction using information measures SIAM J. Control Optim. 38 1223-40
    • (2000) SIAM J. Control Optim. , vol.38 , Issue.4 , pp. 1223-1240
    • Hermann, U.1    Noll, D.2
  • 23
    • 0013292622 scopus 로고    scopus 로고
    • On the choice of the regularization parameter for ordinary and iterated Tikhonov regularization of nonlinear ill-posed problems
    • Jin Q and Hou Z 1997 On the choice of the regularization parameter for ordinary and iterated Tikhonov regularization of nonlinear ill-posed problems Inverse Problems 13 815-27
    • (1997) Inverse Problems , vol.13 , Issue.3 , pp. 815-827
    • Jin, Q.1    Hou, Z.2
  • 26
    • 0942274034 scopus 로고
    • Linear inversion by the method of maximum entropy
    • Macaulay V A and Buck B 1989 Linear inversion by the method of maximum entropy Inverse Problems 5 859-74
    • (1989) Inverse Problems , vol.5 , Issue.5 , pp. 859-874
    • MacAulay, V.A.1    Buck, B.2
  • 30
    • 0010991838 scopus 로고    scopus 로고
    • Consistency of a nonlinear deconvolution method with applications in image restoration
    • Noll D 1997 Consistency of a nonlinear deconvolution method with applications in image restoration Adv. Math. Sci. Appl. 7 789-808
    • (1997) Adv. Math. Sci. Appl. , vol.7 , pp. 789-808
    • Noll, D.1
  • 31
    • 0008181330 scopus 로고    scopus 로고
    • Restoration of degraded images with maximum entropy
    • Noll D 1997 Restoration of degraded images with maximum entropy J. Glob. Optim. 10 91-103
    • (1997) J. Glob. Optim. , vol.10 , Issue.1 , pp. 91-103
    • Noll, D.1
  • 33
    • 23244453192 scopus 로고    scopus 로고
    • Regularization of ill-posed problems in Banach spaces: Convergence rates
    • Resmerita E 2005 Regularization of ill-posed problems in Banach spaces: convergence rates Inverse Problems 21 1303-14
    • (2005) Inverse Problems , vol.21 , Issue.4 , pp. 1303-1314
    • Resmerita, E.1
  • 34
    • 1542393385 scopus 로고    scopus 로고
    • Structure and flexibility of individual immunoglobulin G molecules in solution
    • Sandin S, fverstedt L-G, Wikström A C, Wrange and Skoglund U 2004 Structure and flexibility of individual immunoglobulin G molecules in solution Structure 12 409-15
    • (2004) Structure , vol.12 , Issue.3 , pp. 409-415
    • Sandin, S.1    Fverstedt, L.-G.2    Wikström, A.C.3    Wrange4    Skoglund, U.5
  • 35
    • 0000431384 scopus 로고
    • Maximum entropy image reconstruction: General algorithm
    • Skilling J and Bryan R K 1984 Maximum entropy image reconstruction: general algorithm Mon. Not. R. Astron. Soc. 211 111-24
    • (1984) Mon. Not. R. Astron. Soc. , vol.211 , Issue.1 , pp. 111-124
    • Skilling, J.1    Bryan, R.K.2
  • 36
    • 0030295008 scopus 로고    scopus 로고
    • Maximum-entropy three-dimensional reconstruction with deconvolution of the contrast transfer function: A test application with Adenovirus
    • Skoglund U, fverstedt L-G, Burnett R M and Bricogne G 1996 Maximum-entropy three-dimensional reconstruction with deconvolution of the contrast transfer function: a test application with Adenovirus J. Struct. Biol. 117 173-88
    • (1996) J. Struct. Biol. , vol.117 , Issue.3 , pp. 173-188
    • Skoglund, U.1    Fverstedt, L.-G.2    Burnett, R.M.3    Bricogne, G.4
  • 41
    • 33645749205 scopus 로고    scopus 로고
    • Nephrin strands contribute to a porous slit diaphragm scaffold as revealed by electron tomography
    • Wartiovaara J et al 2004 Nephrin strands contribute to a porous slit diaphragm scaffold as revealed by electron tomography J. Clin. Investigation 114 1475-83
    • (2004) J. Clin. Investigation , vol.114 , Issue.10 , pp. 1475-1483
    • Wartiovaara, J.1    Al, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.