메뉴 건너뛰기




Volumn 198, Issue 2, 2007, Pages 493-504

Statistical inverse problems: Discretization, model reduction and inverse crimes

Author keywords

Bayesian statistics; Discretization; Inverse problems; Modelling error

Indexed keywords

COMPUTATIONAL METHODS; ESTIMATION; MATHEMATICAL MODELS; MEASUREMENT THEORY; PROBLEM SOLVING; STATISTICAL METHODS;

EID: 33748749612     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.09.027     Document Type: Article
Times cited : (461)

References (10)
  • 1
    • 33748746074 scopus 로고    scopus 로고
    • D. Calvetti, J. Kaipio, E. Somersalo, Aristotelian prior boundary conditions, Int. J. Math. Comp. Sci. 1 (2006) in press.
  • 3
    • 84860523889 scopus 로고    scopus 로고
    • Statistical and Computational Inverse Problems
    • Springer, Berlin
    • Kaipio J., and Somersalo E. Statistical and Computational Inverse Problems. Applied Mathematical Series vol. 160 (2004), Springer, Berlin
    • (2004) Applied Mathematical Series , vol.160
    • Kaipio, J.1    Somersalo, E.2
  • 4
    • 33748742197 scopus 로고    scopus 로고
    • S. Lasanen, Discretizations of generalized random variables with applications to inverse problems, Ann. Acad. Sci. Fenn. Dissertationes 2002.
  • 5
    • 6344231795 scopus 로고    scopus 로고
    • Can one use total variation prior for edge-preserving Bayesian inversion?
    • Lassas M., and Siltanen S. Can one use total variation prior for edge-preserving Bayesian inversion?. Inverse Problems 20 (2004) 1537-1563
    • (2004) Inverse Problems , vol.20 , pp. 1537-1563
    • Lassas, M.1    Siltanen, S.2
  • 6
    • 0006684185 scopus 로고
    • Linear inverse problems for generalized random variables
    • Lehtinen M., Päivärinta L., and Somersalo E. Linear inverse problems for generalized random variables. Inverse Problems 5 (1989) 599-612
    • (1989) Inverse Problems , vol.5 , pp. 599-612
    • Lehtinen, M.1    Päivärinta, L.2    Somersalo, E.3
  • 7
    • 31844432676 scopus 로고
    • Linear estimators and measurable linear transformations on a Hilbert space
    • Mandelbaum A. Linear estimators and measurable linear transformations on a Hilbert space. Z. Wahrsch. Verw. Gebiete 65 (1884) 385-397
    • (1884) Z. Wahrsch. Verw. Gebiete , vol.65 , pp. 385-397
    • Mandelbaum, A.1
  • 9
    • 33748743005 scopus 로고    scopus 로고
    • H. Pikkarainen, A mathematical model for electrical impedance process tomography, Doctoral dissertation, Helsinki University of Technology, Espoo, Finland, 2005. ISBN 951-22-7651-8.
  • 10
    • 33748751405 scopus 로고    scopus 로고
    • Ju.A. Rozanov, Infinite-dimensional Gaussian Distributions, Proceedings of the Steklov Institute of Math 108 (1968) (English translation: AMS 1971).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.