Data analysis tools for uncertainty quantification of inverse problems
(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:
https://lup.lub.lu.se/record/1925895
- author
- Tenorio, L. ; Andersson, Fredrik LU ; de Hoop, M. and Ma, P.
- organization
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Inverse Problems
- volume
- 27
- issue
- 4
- article number
- 045001
- 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
- 2016-04-01 11:05:15
- date last changed
- 2022-04-20 08:57:00
@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.}},
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}},
doi = {{10.1088/0266-5611/27/4/045001}},
volume = {{27}},
year = {{2011}},
}