40 citations · 47 across the 5 of their papers we have counts for
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Non-Stationary Multi-layered Gaussian Priors for Bayesian Inversion
Muhammad Emzir, Sari Lasanen, Zenith Purisha +2
In this article, we study Bayesian inverse problems with multi-layered Gaussian priors. We first describe the conditionally Gaussian layers in terms of a system of stochastic parti…
Hyperpriors for Matérn fields with applications in Bayesian inversion
Lassi Roininen, Mark Girolami, Sari Lasanen +1
We introduce non-stationary Matérn field priors with stochastic partial differential equations, and construct correlation length-scaling with hyperpriors. We model both the hyperpr…
Cauchy difference priors for edge-preserving Bayesian inversion with an application to X-ray tomography
Markku Markkanen, Lassi Roininen, Janne M J Huttunen +1
We study Cauchy-distributed difference priors for edge-preserving Bayesian statistical inverse problems. On the contrary to the well-known total variation priors, one-dimensional C…
Sparse approximations of fractional Matérn fields
Lassi Roininen, Sari Lasanen, Mikko Orispää +1
We consider a fast approximation method for a solution of a certain stochastic non-local pseudodifferential equation. This equation defines a Matérn class random field. The approxi…
Posterior convergence for approximated unknowns in non-Gaussian statistical inverse problems
Sari Lasanen
The statistical inverse problem of estimating the probability distribution of an infinite-dimensional unknown given its noisy indirect observation is studied in the Bayesian framew…