J. Schmidt-Hieber

activity

20092026

most citedNonparametric regression using deep neural networks with ReLU activation function

292 citations · 770 across the 46 of their papers we have counts for

collaborators

Showing 2013 · math.STShow all

3 papers · 2 filters

math.ST2013★ 7 cited

Asymptotic equivalence for regression under fractional noise

Johannes Schmidt-Hieber

Consider estimation of the regression function based on a model with equidistant design and measurement errors generated from a fractional Gaussian noise process. In previous liter…

math.ST2013★ 43 cited

On adaptive posterior concentration rates

Marc Hoffmann, Judith Rousseau, Johannes Schmidt-Hieber

We investigate the problem of deriving posterior concentration rates under different loss functions in nonparametric Bayes. We first provide a lower bound on posterior coverages of…

math.ST2013

On an estimator achieving the adaptive rate in nonparametric regression under $L^{p}$ -loss for all $1 \leq p \leq \infty$

Johannes Schmidt-Hieber

Consider nonparametric function estimation under $L^{p}$ -loss. The minimax rate for estimation of the regression function over a Hölder ball with smoothness index $β$ is $n^{-β/(2β+1…

Asymptotic equivalence for regression under fractional noise

On adaptive posterior concentration rates

On an estimator achieving the adaptive rate in nonparametric regression under Lp-loss for all 1≤p≤∞

On an estimator achieving the adaptive rate in nonparametric regression under $L^{p}$ -loss for all $1 \leq p \leq \infty$