Variational posteriors for Besov-prior Bayesian inverse problems achieve minimax-optimal convergence rates matching exact posteriors under general PDE operator conditions.
On statistical Calder´ on problems.Mathematical Statis- tics and Learning, 2(2):165–216, 2020
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Consistency of variational inference for Besov priors in non-linear inverse problems
Variational posteriors for Besov-prior Bayesian inverse problems achieve minimax-optimal convergence rates matching exact posteriors under general PDE operator conditions.