1 citations · 1 across the 8 of their papers we have counts for
9 papers
Discretization-free exact recovery in geometric community detection
Maarten Hoeneveld, Moritz Otto, Raphaël Sala
Geometric community detection seeks to recover latent communities in networks where connectivity depends jointly on community structure and continuous spatial geometry. Existing ex…
Central limit theorem for linear eigenvalue statistics of random geometric graphs
Christian Hirsch, Kyeongsik Nam, Moritz Otto
Random spatial networks-that is, graphs whose connectivity is governed by geometric proximity-have emerged as fundamental models for systems constrained by an underlying spatial st…
Normal and Poisson approximation for Gibbs point processes with pair potentials
Christian Hirsch, Moritz Otto, Anne Marie Svane
We provide a Poisson approximation result for dependent thinnings of Gibbs point processes as well as qualitative and quantitative central limit theorems for geometric functionals…
Functional central limit theorem for subgraph counts in a dynamic random connection model
Rajat Subhra Hazra, Nikolai Kriukov, Michel Mandjes +1
We prove a functional central limit theorem for subgraph counts in a dynamic version of the random connection model. To establish tightness, we develop a dynamic extension of the c…
Poisson approximation of large-lifetime cycles
Christian Hirsch, Nikolaj Nyvold Lundbye, Moritz Otto
In topological data analysis, the notions of persistent homology, birthtime, lifetime, and deathtime are used to assign and capture relevant cycles (i.e., topological features) of…
Random Connection Hypergraphs
Morten Brun, Christian Hirsch, Peter Juhasz +1
In this paper, we introduce a novel model for random hypergraphs based on weighted random connection models. In accordance with the standard theory for hypergraphs, this model is c…
Cumulant method for weighted random connection models
Nils Heerten, Christian Hirsch, Moritz Otto
In this paper, we derive cumulant bounds for subgraph counts and power-weighted edge length in a class of spatial random networks known as weighted random connection models. This i…
Compound Poisson process approximation under -mixing and stabilization
Nicolas Chenavier, Moritz Otto
We establish Poisson and compound Poisson approximations for stabilizing statistics of -mixing point processes and give explicit rates of convergence. Our findings are based on…
Normal approximation for Gibbs processes via disagreement couplings
Christian Hirsch, Moritz Otto, Anne Marie Svane
This work improves the existing central limit theorems (CLTs) for geometric functionals of Gibbs processes in three aspects. First, we derive a CLT for weakly stabilizing functiona…