Temporal configuration model: Statistical inference and spreading processes

Thien Minh Le, Hali Hambridge and Jukka-Pekka Onnela

Network Science, 2025, vol. 13, -

Abstract: We introduce a family of parsimonious network models that are intended to generalize the configuration model to temporal settings. We present consistent estimators for the model parameters and perform numerical simulations to illustrate the properties of the estimators on finite samples. We also derive analytical solutions for the basic and effective reproduction numbers for the early stage of the discrete-time SIR spreading process for our temporal configuration model (TCM). We apply three distinct TCMs to empirical student proximity networks and compare their performance.

Date: 2025
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