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Data analysis tools for uncertainty quantification of inverse problems

Tenorio, L.; Andersson, Fredrik LU ; de Hoop, M. and Ma, P. (2011) In Inverse Problems 27(4).
Abstract
We present exploratory data analysis methods to assess inversion estimates using examples based on l(2)- and l(1)-regularization. These methods can be used to reveal the presence of systematic errors such as bias and discretization effects, or to validate assumptions made on the statistical model used in the analysis. The methods include bounds on the performance of randomized estimators of a large matrix, confidence intervals and bounds for the bias, resampling methods for model validation and construction of training sets of functions with controlled local regularity.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Inverse Problems
volume
27
issue
4
publisher
IOP Publishing
external identifiers
  • wos:000288696200001
  • scopus:79953666263
ISSN
0266-5611
DOI
10.1088/0266-5611/27/4/045001
language
English
LU publication?
yes
id
3f0fec03-2e3d-4a6b-a7f4-0c365c8cf391 (old id 1925895)
date added to LUP
2011-05-11 08:08:39
date last changed
2017-08-20 03:24:25
@article{3f0fec03-2e3d-4a6b-a7f4-0c365c8cf391,
  abstract     = {We present exploratory data analysis methods to assess inversion estimates using examples based on l(2)- and l(1)-regularization. These methods can be used to reveal the presence of systematic errors such as bias and discretization effects, or to validate assumptions made on the statistical model used in the analysis. The methods include bounds on the performance of randomized estimators of a large matrix, confidence intervals and bounds for the bias, resampling methods for model validation and construction of training sets of functions with controlled local regularity.},
  articleno    = {045001},
  author       = {Tenorio, L. and Andersson, Fredrik and de Hoop, M. and Ma, P.},
  issn         = {0266-5611},
  language     = {eng},
  number       = {4},
  publisher    = {IOP Publishing},
  series       = {Inverse Problems},
  title        = {Data analysis tools for uncertainty quantification of inverse problems},
  url          = {http://dx.doi.org/10.1088/0266-5611/27/4/045001},
  volume       = {27},
  year         = {2011},
}