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

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Showing 2019Show all

2 papers · 1 filter

math.FA2019

Entropy numbers of finite dimensional mixed-norm balls and function space embeddings with small mixed smoothness

Sebastian Mayer, Tino Ullrich

We study the embedding $id : ℓ_{p}^{b} (ℓ_{q}^{d}) \to ℓ_{r}^{b} (ℓ_{u}^{d})$ and prove matching bounds for the entropy numbers $e_{k} (id)$ provided that $0 < p < r \leq \infty$ an…

math.NA2019★ 5 cited

The recovery of ridge functions on the hypercube suffers from the curse of dimensionality

Benjamin Doerr, Sebastian Mayer

A multivariate ridge function is a function of the form $f (x) = g (a^{T} x)$ , where $g$ is univariate and $a \in R^{d}$ . We show that the recovery of an un…