Sebastian Mayer

activity

20042019

most citedThe recovery of ridge functions on the hypercube suffers from the curse of dimensionality

5 citations · 7 across the 4 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.NA2015

Counting via entropy: new preasymptotics for the approximation numbers of Sobolev embeddings

Thomas Kühn, Sebastian Mayer, Tino Ullrich

In this paper, we reveal a new connection between approximation numbers of periodic Sobolev type spaces, where the smoothness weights on the Fourier coefficients are induced by a (…

math.NA2015★ 1 cited

Entropy numbers of spheres in Banach and quasi-Banach spaces

Aicke Hinrichs, Sebastian Mayer

We prove sharp upper bounds on the entropy numbers $e_{k} (S_{p}^{d - 1}, ℓ_{q}^{d})$ of the $p$ -sphere in $ℓ_{q}^{d}$ in the case $k \geq d$ and $0 < p \leq q \leq \infty$ . In particular, we…