most citedBayesian Posterior Contraction Rates for Linear Severely Ill-posed Inverse Problems

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math.ST2012★ 37 cited

Bayesian Posterior Contraction Rates for Linear Severely Ill-posed Inverse Problems

Sergios Agapiou, Andrew M. Stuart, Yuan-Xiang Zhang

We consider a class of linear ill-posed inverse problems arising from inversion of a compact operator with singular values which decay exponentially to zero. We adopt a Bayesian ap…