Likelihood-based assessment of dynamic networks

Paper type: 
Journal Paper
Richard G. Clegg, Ben Parker and Miguel Rio
Journal of Complex Networks, 2016
This paper deals with the problem of assessing probabilistic models which represent the evolution of a target graph. Such models have long been a topic of interest for a number of networks, especially communications networks. The solution developed in this paper gives a rigorous way to calculate the likelihood of the observed graph evolution having arisen from a wide variety of hypothesised models encompassing many already present in the literature. The framework is shown to recover parameters from artificial data and is tested on real data sets from Facebook and from emails from the company Enron.
This paper used a likelihood based framework to create a rigorous way to assess models of networks. Network evolution is broken down into an operation model (it decides the 'type' of change to be made to the network, e.g. "add node" "add link" "remove node" "remove link") and an object model (that decides the exact change -- which node/link to add). The system is shown to be able to recover known parameters on artificial models and to be useful in analysis of real data.
title= "Likelihood-based assessment of dynamic networks",
journal= "Journal of Complex Networks",
authors="Richard Clegg and Ben Parker and Miguel Rio"