3 papers
stat.ML2024
Autoencoders in Function Space
Justin Bunker, Mark Girolami, Hefin Lambley +2
Autoencoders have found widespread application in both their original deterministic form and in their variational formulation (VAEs). In scientific applications and in image proces…
math.PR2023
Classification of small-ball modes and maximum a posteriori estimators in metric spaces
Ilja Klebanov, Hefin Lambley, T. J. Sullivan
A mode, or `most likely point', for a probability measure can be defined in various ways via the asymptotic behaviour of the -mass of balls as their radius tends to zero. Su…
math.ST2023
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…