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math.ST2023★ 1 cited
Strong maximum a posteriori estimation in Banach spaces with Gaussian priors
Hefin Lambley
This article shows that a large class of posterior measures that are absolutely continuous with respect to a Gaussian prior have strong maximum a posteriori estimators in the sense…
math.ST2022★ 8 cited
An order-theoretic perspective on modes and maximum a posteriori estimation in Bayesian inverse problems
Hefin Lambley, T. J. Sullivan
It is often desirable to summarise a probability measure on a space in terms of a mode, or MAP estimator, i.e.\ a point of maximum probability. Such points can be rigorously de…