292 citations · 770 across the 46 of their papers we have counts for
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cs.LG2020
The Kolmogorov-Arnold representation theorem revisited
Johannes Schmidt-Hieber
There is a longstanding debate whether the Kolmogorov-Arnold representation theorem can explain the use of more than one hidden layer in neural networks. The Kolmogorov-Arnold repr…
math.ST2020
On lower bounds for the bias-variance trade-off
Alexis Derumigny, Johannes Schmidt-Hieber
It is a common phenomenon that for high-dimensional and nonparametric statistical models, rate-optimal estimators balance squared bias and variance. Although this balancing is wide…
math.ST2020
On frequentist coverage of Bayesian credible sets for estimation of the mean under constraints
Kevin Duisters, Johannes Schmidt-Hieber
Frequentist coverage of -highest posterior density (HPD) credible sets is studied in a signal plus noise model under a large class of noise distributions. We consider a spec…