A Separable Model for Dynamic Networks
Pavel N. Krivitsky (Department of Statistics, Penn State University,, University Park), Mark S. Handcock (Department of Statistics, University, of California, Los Angeles)

TL;DR
This paper introduces a novel Separable Temporal ERGM (STERGM) model for dynamic networks, enabling flexible and interpretable analysis of evolving social ties over time.
Contribution
It presents a new discrete-time generative model for dynamic networks that separates tie duration from structural formation, with methods for likelihood inference.
Findings
Effective modeling of social network evolution
Likelihood-based inference algorithms developed
Application to school friendship network data
Abstract
Models of dynamic networks --- networks that evolve over time --- have manifold applications. We develop a discrete-time generative model for social network evolution that inherits the richness and flexibility of the class of exponential-family random graph models. The model --- a Separable Temporal ERGM (STERGM) --- facilitates separable modeling of the tie duration distributions and the structural dynamics of tie formation. We develop likelihood-based inference for the model, and provide computational algorithms for maximum likelihood estimation. We illustrate the interpretability of the model in analyzing a longitudinal network of friendship ties within a school.
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Taxonomy
TopicsComplex Network Analysis Techniques · Opinion Dynamics and Social Influence · Social Capital and Networks
