# Adaptive inference over Besov spaces in the white noise model using $p$-exponential priors

@inproceedings{Agapiou2022AdaptiveIO, title={Adaptive inference over Besov spaces in the white noise model using \$p\$-exponential priors}, author={Sergios Agapiou and Aimilia Savva}, year={2022} }

In many scientiﬁc applications the aim is to infer a function which is smooth in some areas, but rough or even dis-continuous in other areas of its domain. Such spatially inhomogeneous functions can be modelled in Besov spaces with suitable integrability parameters. In this work we study adaptive Bayesian inference over Besov spaces, in the white noise model from the point of view of rates of contraction, using p -exponential priors, which range between Laplace and Gaussian and possess…

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