Analysis of regularized inversion of data corrupted by white Gaussian noise

Hanne Kekkonen; Matti Lassas; Mikko Samuli Siltanen

doi:10.1088/0266-5611/30/4/045009

Analysis of regularized inversion of data corrupted by white Gaussian noise

Hanne Kekkonen, Matti Lassas, Mikko Samuli Siltanen

Department of Mathematics and Statistics

Research output: Contribution to journal › Article › Scientific › peer-review

Original language	English
Article number	045009
Journal	Inverse Problems
Volume	30
Issue number	4
Number of pages	18
ISSN	0266-5611
DOIs	https://doi.org/10.1088/0266-5611/30/4/045009
Publication status	Published - Apr 2014
MoE publication type	A1 Journal article-refereed

Bibliographical note

This article has an erratum: DOI 10.1088/0266-5611/32/9/099501
Volume:
Proceeding volume:

Fields of Science

regularization
inverse problem
white noise
pseudodifferential operator
NONLINEAR TIKHONOV REGULARIZATION
X-RAY TOMOGRAPHY
BAYESIAN INVERSION
HILBERT SCALES
STATISTICAL INVERSION
DISCRETIZATION
CONVERGENCE
RADIOGRAPHS
111 Mathematics

Access to Document

10.1088/0266-5611/30/4/045009

Cite this

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title = "Analysis of regularized inversion of data corrupted by white Gaussian noise",

keywords = "regularization, inverse problem, white noise, pseudodifferential operator, NONLINEAR TIKHONOV REGULARIZATION, X-RAY TOMOGRAPHY, BAYESIAN INVERSION, HILBERT SCALES, STATISTICAL INVERSION, DISCRETIZATION, CONVERGENCE, RADIOGRAPHS, 111 Mathematics",

author = "Hanne Kekkonen and Matti Lassas and Siltanen, {Mikko Samuli}",

note = "This article has an erratum: DOI 10.1088/0266-5611/32/9/099501 Volume: Proceeding volume: ",

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AU - Kekkonen, Hanne

AU - Lassas, Matti

AU - Siltanen, Mikko Samuli

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KW - regularization

KW - inverse problem

KW - white noise

KW - pseudodifferential operator

KW - NONLINEAR TIKHONOV REGULARIZATION

KW - X-RAY TOMOGRAPHY

KW - BAYESIAN INVERSION

KW - HILBERT SCALES

KW - STATISTICAL INVERSION

KW - DISCRETIZATION

KW - CONVERGENCE

KW - RADIOGRAPHS

KW - 111 Mathematics

U2 - 10.1088/0266-5611/30/4/045009

DO - 10.1088/0266-5611/30/4/045009

M3 - Article

VL - 30

JO - Inverse Problems

JF - Inverse Problems

SN - 0266-5611

IS - 4

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