292 citations · 770 across the 46 of their papers we have counts for
4 papers · 1 filter
Nonparametric Bayesian analysis of the compound Poisson prior for support boundary recovery
Markus Reiss, Johannes Schmidt-Hieber
Given data from a Poisson point process with intensity frequentist properties for the Bayesian reconstruction of the support boundary func…
Posterior analysis of in the binomial problem with both parameters unknown -- with applications to quantitative nanoscopy
Johannes Schmidt-Hieber, Laura Fee Schneider, Thomas Staudt +3
Estimation of the population size from i.i.d.\ binomial observations with unknown success probability is relevant to a multitude of applications and has a long history.…
A comparison of deep networks with ReLU activation function and linear spline-type methods
Konstantin Eckle, Johannes Schmidt-Hieber
Deep neural networks (DNNs) generate much richer function spaces than shallow networks. Since the function spaces induced by shallow networks have several approximation theoretic d…
Asymptotic nonequivalence of density estimation and Gaussian white noise for small densities
Kolyan Ray, Johannes Schmidt-Hieber
It is well-known that density estimation on the unit interval is asymptotically equivalent to a Gaussian white noise experiment, provided the densities are sufficiently smooth and…