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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…