5 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…
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…