Fractal Gaussian Networks: A sparse random graph model based on Gaussian Multiplicative Chaos. (arXiv:2008.03038v2 [stat.ML] UPDATED)

We propose a novel stochastic network model, called Fractal Gaussian Network
(FGN), that embodies well-defined and analytically tractable fractal
structures. Such fractal structures have been empirically observed in diverse
applications. FGNs interpolate continuously between the popular purely random
geometric graphs (a.k.a. the Poisson Boolean network), and random graphs with
increasingly fractal behavior. In fact, they form a parametric family of sparse
random geometric graphs that are parametrized by a fractality parameter which
governs the strength of the fractal structure. FGNs …

arxiv graph ml networks random