292 citations · 770 across the 46 of their papers we have counts for
3 papers · 1 filter
Minimax theory for a class of non-linear statistical inverse problems
Kolyan Ray, Johannes Schmidt-Hieber
We study a class of statistical inverse problems with non-linear pointwise operators motivated by concrete statistical applications. A two-step procedure is proposed, where the fir…
Conditions for Posterior Contraction in the Sparse Normal Means Problem
Stéphanie van der Pas, Jean-Bernard Salomond, Johannes Schmidt-Hieber
The first Bayesian results for the sparse normal means problem were proven for spike-and-slab priors. However, these priors are less convenient from a computational point of view.…
A regularity class for the roots of non-negative functions
Kolyan Ray, Johannes Schmidt-Hieber
We investigate the regularity of the positive roots of a non-negative function of one-variable. A modified Hölder space is introduced such that if $f\in \mathcal{F}…