447 citations · 3.6k across the 105 of their papers we have counts for
3 papers · 2 filters
Gradient Flow from a Random Walk in Hilbert Space
Natesh S. Pillai, Andrew M. Stuart, Alexandre H. Thiery
Consider a probability measure on a Hilbert space defined via its density with respect to a Gaussian. The purpose of this paper is to demonstrate that an appropriately defined Mark…
Besov priors for Bayesian inverse problems
Masoumeh Dashti, Stephen Harris, Andrew Stuart
We consider the inverse problem of estimating a function from noisy, possibly nonlinear, observations. We adopt a Bayesian approach to the problem. This approach has a long his…
Uncertainty quantification and weak approximation of an elliptic inverse problem
Masoumeh Dashti, Andrew M. Stuart
We consider the inverse problem of determining the permeability from the pressure in a Darcy model of flow in a porous medium. Mathematically the problem is to find the diffusion c…