2 papers
math.ST2018
Bayesian inverse problems with partial observations
Shota Gugushvili, Aad van der Vaart, Dong Yan
We study a nonparametric Bayesian approach to linear inverse problems under discrete observations. We use the discrete Fourier transform to convert our model into a truncated Gauss…
math.ST2018
Bayesian linear inverse problems in regularity scales
Shota Gugushvili, Aad van der Vaart, Dong Yan
We obtain rates of contraction of posterior distributions in inverse problems defined by scales of smoothness classes. We derive abstract results for general priors, with contracti…