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Data analysis tools for uncertainty quantification of inverse problems

På svenska

Author

  • L. Tenorio
  • Fredrik Andersson
  • M. de Hoop
  • P. Ma

Summary, in English

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.

Publishing year

2011

Language

English

Publication/Series

Inverse Problems

Volume

27

Issue

4

Document type

Journal article

Publisher

IOP Publishing

Topic

  • Mathematics

Status

Published

Research group

  • Harmonic Analysis and Applications

ISBN/ISSN/Other

  • ISSN: 0266-5611