30 citations · 73 across the 24 of their papers we have counts for
3 papers · 1 filter
Statistical guarantees for Bayesian uncertainty quantification in non-linear inverse problems with Gaussian process priors
François Monard, Richard Nickl, Gabriel P. Paternain
Bayesian inference and uncertainty quantification in a general class of non-linear inverse regression models is considered. Analytic conditions on the regression model $\{\mathscr…
Inverse problem for the Yang-Mills equations
Xi Chen, Matti Lassas, Lauri Oksanen +1
We show that a connection can be recovered up to gauge from source-to-solution type data associated with the Yang-Mills equations in the four dimensional Minkowski space. Our proof…
A sharp stability estimate for tensor tomography in non-positive curvature
Gabriel P. Paternain, Mikko Salo
We consider the geodesic X-ray transform acting on solenoidal tensor fields on a compact simply connected manifold with strictly convex boundary and non-positive curvature. We esta…