Variational posteriors for Besov-prior Bayesian inverse problems achieve minimax-optimal convergence rates matching exact posteriors under general PDE operator conditions.
Fractional differential equations—an approach via fractional derivatives, volume 206 of Applied Mathematical Sciences
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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.