40 citations · 47 across the 5 of their papers we have counts for
8 papers
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…
Enhancing Industrial X-ray Tomography by Data-Centric Statistical Methods
Jarkko Suuronen, Muhammad Emzir, Sari Lasanen +2
X-ray tomography has applications in various industrial fields such as sawmill industry, oil and gas industry, chemical engineering, and geotechnical engineering. In this article,…
Posterior Convergence Analysis of -Stable Sheets
Neil K. Chada, Sari Lasanen, Lassi Roininen
This paper is concerned with the theoretical understanding of -stable sheets on . Our motivation for this is in the context of Bayesian inverse problems, where…
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…
Elliptic boundary value problems with Gaussian white noise loads
Sari Lasanen, Lassi Roininen, Janne M. J. Huttunen
Linear second order elliptic boundary value problems (BVP) on bounded Lipschitz domains are studied in the case of Gaussian white noise loads. Especially, Neumann and Robin BVPs ar…
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…