77 citations · 244 across the 18 of their papers we have counts for
9 papers · 1 filter
Assignment Based Metrics for Attributed Graphs
Dominic Schuhmacher, Leoni Carla Wirth
We introduce the Graph TT (GTT) and Graph OSPA (GOSPA) metrics based on optimal assignment, which allow us to compare not only the edge structures but also general vertex and edge…
Convergence Rates for the Degree Distribution in a Dynamic Network Model
Fabian Kück, Dominic Schuhmacher
In the stochastic network model of Britton and Lindholm [Dynamic random networks in dynamic populations. Journal of Statistical Physics, 2010], the number of individuals evolves ac…
On ANOVA decompositions of kernels and Gaussian random field paths
David Ginsbourger, Olivier Roustant, Dominic Schuhmacher +2
The FANOVA (or "Sobol'-Hoeffding") decomposition of multivariate functions has been used for high-dimensional model representation and global sensitivity analysis. When the objecti…
Bounds for the probability generating functional of a Gibbs point process
Kaspar Stucki, Dominic Schuhmacher
We derive explicit lower and upper bounds for the probability generating functional of a stationary locally stable Gibbs point process, which can be applied to summary statistics l…
Gibbs point process approximation: Total variation bounds using Stein's method
Dominic Schuhmacher, Kaspar Stucki
We obtain upper bounds for the total variation distance between the distributions of two Gibbs point processes in a very general setting. Applications are provided to various well-…
A new metric between distributions of point processes
Dominic Schuhmacher, Aihua Xia
Most metrics between finite point measures currently used in the literature have the flaw that they do not treat differing total masses in an adequate manner for applications. This…
Stein's method and Poisson process approximation for a class of Wasserstein metrics
Dominic Schuhmacher
Based on Stein's method, we derive upper bounds for Poisson process approximation in the -Wasserstein metric , which is based on a slightly adapted -Wasserstei…
Distance estimates for dependent thinnings of point processes with densities
Dominic Schuhmacher
In [Schuhmacher, Electron. J. Probab. 10 (2005), 165--201] estimates of the Barbour-Brown distance d_2 between the distribution of a thinned point process and the distribution of a…
Upper bounds for spatial point process approximations
Dominic Schuhmacher
We consider the behavior of spatial point processes when subjected to a class of linear transformations indexed by a variable T. It was shown in Ellis [Adv. in Appl. Probab. 18 (19…