Daniel Willhalm

activity

20222025

most citedLarge deviations of one-hidden-layer neural networks

4 citations · 9 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.PR2022★ 2 cited

Limit theory of sparse random geometric graphs in high dimensions

Gilles Bonnet, Christian Hirsch, Daniel Rosen +1

We study topological and geometric functionals of $l_{\infty}$ -random geometric graphs on the high-dimensional torus in a sparse regime, where the expected number of neighbors decays…

math.PR2022★ 2 cited

Upper large deviations for power-weighted edge lengths in spatial random networks

Christian Hirsch, Daniel Willhalm

We study the large-volume asymptotics of the sum of power-weighted edge lengths $\sum_{e \in E} ∣ e ∣^{α}$ in Poisson-based spatial random networks. In the regime $α > d$ , we provide a s…