40 citations · 47 across the 5 of their papers we have counts for
3 papers · 1 filter
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…