Hierarchical Bayesian level set inversion

@article{Dunlop2017HierarchicalBL,
  title={Hierarchical Bayesian level set inversion},
  author={Matthew M. Dunlop and M. Iglesias and A. Stuart},
  journal={Statistics and Computing},
  year={2017},
  volume={27},
  pages={1555-1584}
}
  • Matthew M. Dunlop, M. Iglesias, A. Stuart
  • Published 2017
  • Mathematics, Computer Science
  • Statistics and Computing
  • The level set approach has proven widely successful in the study of inverse problems for interfaces, since its systematic development in the 1990s. Recently it has been employed in the context of Bayesian inversion, allowing for the quantification of uncertainty within the reconstruction of interfaces. However, the Bayesian approach is very sensitive to the length and amplitude scales in the prior probabilistic model. This paper demonstrates how the scale-sensitivity can be circumvented by… CONTINUE READING
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