Topological estimation of arbitrary unknown latent geometries of complex networks
Year: 2020
Type: preprint
Abstract: Many networks are embedded in their latent geometries. If two nodes are embedded closely in the latent geometry, there is a disproportionately high probability that they are connected by a link. Latent geometry has a wide range of practical applications, and some of the epidemic process spreads through the latent geometry. Although extensive studies have been devoted to the embedding of networks in latent hyperbolic space, little research has been conducted to develop a method to estimate general unknown latent geometry of complex networks. Here, we develop methods to estimate unknown latent geometry of a given network by removing links with high loads according to certain criteria. Our methods estimate the homology of the latent geometry and provide a simplified map of the latent geometry.
Source: arXiv (Cornell University)
Author: Bukyoung Jhun
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3080320194