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Dr MARCO IGLESIAS HERNANDEZ's Outputs (3)

Hierarchical Bayesian level set inversion (2016)
Journal Article
Dunlop, M. M., Iglesias, M., & Stuart, A. M. (in press). Hierarchical Bayesian level set inversion. Statistics and Computing, 27(6), https://doi.org/10.1007/s11222-016-9704-8

The level set approach has proven widely successful in the study of inverse problems for inter- faces, since its systematic development in the 1990s. Re- cently it has been employed in the context of Bayesian inversion, allowing for the quantificatio... Read More about Hierarchical Bayesian level set inversion.

A Bayesian level set method for geometric inverse problems (2016)
Journal Article
Iglesias, M., Lu, Y., & Stuart, A. (2016). A Bayesian level set method for geometric inverse problems. Interfaces and Free Boundaries, 18(2), https://doi.org/10.4171/IFB/362

We introduce a level set based approach to Bayesian geometric inverse problems. In these problems the interface between different domains is the key unknown, and is realized as the level set of a function. This function itself becomes the object of t... Read More about A Bayesian level set method for geometric inverse problems.