Regularization and inverse problems

被引：4
|
作者：
Lasenby, A [1 ]
Barreiro, B [1 ]
Hobson, M [1 ]
机构：
[1] Univ Cambridge, Cavendish Lab, Astrophys Grp, Cambridge CB3 0HE, England
来源：
MINING THE SKY | 2001年
关键词：
D O I：
10.1007/10849171_2
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
An overview is given of Bayesian inversion and regularization procedures. In particular, the conceptual basis of the maximum entropy method (MEM) is discussed, and extensions to positive/negative and complex data are highlighted. Other deconvolution methods are also discussed within the Bayesian context, focusing mainly on the comparison of Wiener filtering, Massive Inference and the Pixon method, using examples from both astronomical and non-astronomical applications.
引用
收藏
页码：15 / 32
页数：18
相关论文
共 50 条
  • [1] REGULARIZATION AND INVERSE PROBLEMS
    SIBISI, S
    [J]. MAXIMUM ENTROPY AND BAYESIAN METHODS /, 1989, 36 : 389 - 396
  • [2] REGULARIZATION OF INVERSE PROBLEMS
    ROMANOVSKII, MR
    [J]. HIGH TEMPERATURE, 1980, 18 (01) : 135 - 140
  • [3] Inverse problems for regularization matrices
    Silvia Noschese
    Lothar Reichel
    [J]. Numerical Algorithms, 2012, 60 : 531 - 544
  • [4] Statistical regularization of inverse problems
    Tenorio, L
    [J]. SIAM REVIEW, 2001, 43 (02) : 347 - 366
  • [5] Inverse problems for regularization matrices
    Noschese, Silvia
    Reichel, Lothar
    [J]. NUMERICAL ALGORITHMS, 2012, 60 (04) : 531 - 544
  • [6] REGULARIZATION AND INVERSE PROBLEMS IN VISCOELASTICITY
    HEDSTROM, GW
    THIGPEN, L
    BONNER, BP
    WORLEY, PH
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1984, 51 (01): : 121 - 124
  • [7] Iterative regularization for elliptic inverse problems
    Khan, A. A.
    Rouhani, B. D.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (06) : 850 - 860
  • [8] Semantic regularization of electromagnetic inverse problems
    Zhang, Hongrui
    Chen, Yanjin
    Wang, Zhuo
    Cui, Tie Jun
    del Hougne, Philipp
    Li, Lianlin
    [J]. NATURE COMMUNICATIONS, 2024, 15 (01)
  • [9] Regularization of Inverse Signal Recovery Problems
    Zhilyakov, Evgeny G.
    Belov, Sergei P.
    Oleinik, Ivan I.
    Prokhorenko, Ekaterina I.
    [J]. HELIX, 2019, 9 (02): : 4883 - 4889
  • [10] RELAXED REGULARIZATION FOR LINEAR INVERSE PROBLEMS
    Luiken, Nick
    Van Leeuwen, Tristan
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 43 (05): : S269 - S292
12345