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math.ST2026
Posterior contraction rates in Sobolev norms and Bayesian derivative estimation for infinite-dimensional exponential families
Emanuele Dolera, Stefano Favaro, Matteo Giordano
We study posterior contraction in positive-order Sobolev norms and Bayesian derivative estimation for infinite-dimensional exponential families. We embed the natural parameter in a…
math.ST2024
On strong posterior contraction rates for Besov-Laplace priors in the white noise model
Emanuele Dolera, Stefano Favaro, Matteo Giordano
In this article, we investigate the problem of estimating a spatially inhomogeneous function and its derivatives in the white noise model using Besov-Laplace priors. We show that s…