Statistical inverse problems: Discretization, model reduction and inverse crimes

The article discusses the discretization of linear inverse problems. When an inverse problem is formulated in terms of infinite-dimensional function spaces and then discretized for computational purposes, a discretization error appears. Since inverse problems are typically ill-posed, neglecting this...

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Veröffentlicht in:	Journal of computational and applied mathematics Jg. 198; H. 2; S. 493 - 504
Hauptverfasser:	Kaipio, Jari, Somersalo, Erkki
Format:	Journal Article Tagungsbericht
Sprache:	Englisch
Veröffentlicht:	Amsterdam Elsevier B.V 15.01.2007 Elsevier
Schlagworte:	Bayesian statistics Discretization Exact sciences and technology Inverse problems Mathematics Modelling error Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Numerical methods in probability and statistics Sciences and techniques of general use Inverse problems Discretization Bayesian statistics Modelling error Bayes estimation Numerical analysis Function space Error estimation Applied mathematics Statistical model Ill posed problem Inverse problem
ISSN:	0377-0427, 1879-1778
Online-Zugang:	Volltext
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