1 citations · 1 across the 7 of their papers we have counts for
7 papers
On the expressivity of sparse maxout networks
Moritz Grillo, Tobias Hofmann
We study the expressivity of sparse maxout networks, where each neuron takes a fixed number of inputs from the previous layer and employs a, possibly multi-argument, maxout activat…
The connectivity dimension of a graph
Kurt Klement Gottwald, Tobias Hofmann
This article investigates the connectivity dimension of a graph. We introduce this concept in analogy to the metric dimension of a graph, providing a graph parameter that measures…
Spin resonance without a spin: A microwave analog
Tobias Hofmann, Finn Schmidt, Hans-Jürgen Stöckmann +1
An analog of nuclear magnetic resonance is realized in a microwave network with symplectic symmetry. The network consists of two identical subgraphs coupled by a pair of bonds with…
Realization of an NMR analog in a microwave network with symplectic symmetry
Finn Schmidt, Tobias Hofmann, H. -J. Stöckmann +1
In a previous paper, we realized a microwave network with symplectic symmetry simulating a spin 1/2 (Rehemanjiang et al. [Phys. Rev. Lett. 117, 064101 (2016)]), following a suggest…
Non-Weyl Behavior Induced by Superradiance: A Microwave Graph Study
Junjie Lu, Tobias Hofmann, Hans-Jürgen Stöckmann +1
We study experimentally the manifestation of non-Weyl graph behavior in open systems using microwave networks. For this a coupling variation to the network is necessary, which was…
Properties of uniformly -connected graphs
Frank Göring, Tobias Hofmann
A graph on at least vertices is uniformly -connected if each pair of its vertices is connected by and not more than independent paths. We reinvestigate a recent…
Fast ultrametric matrix-vector multiplication
Tobias Hofmann, Andy Oertel
We study the properties of ultrametric matrices aiming to design methods for fast ultrametric matrix-vector multiplication. We show how to encode such a matrix as a tree structure…