Disentangling homophily, community structure and triadic closure in networks
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Abstract (arXiv)
Network homophily, the tendency of similar nodes to be connected, and transitivity, the tendency of two nodes being connected if they share a common neighbor, are conflated properties in network analysis, since one mechanism can drive the other. Here we present a generative model and corresponding inference procedure that are capable of distinguishing between both mechanisms. Our approach is based on a variation of the stochastic block model (SBM) with the addition of triadic closure edges, and its inference can identify the most plausible mechanism responsible for the existence of every edge in the network, in addition to the underlying community structure itself. We show how the method can evade the detection of spurious communities caused solely by the formation of triangles in the network, and how it can improve the performance of edge prediction when compared to the pure version of the SBM without triadic closure.
Key facts. Cited by 6 papers in the map (data through 14 Oct 2026). Builds on 24 of its 83 references that are in the map. First posted on arXiv 7 Jan 2021.
Builds on
24 of 83 references.
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12 more
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Built on by
Citing papers per year: 2021: 1; 2022: 3; 2023: 0; 2024: 0; 2025: 2.
6 papers.
- 2022The Multivariate Community Hawkes Model for Dependent Relational Events in Continuous-time Networkscited by 5
- 2021Descriptive vs. inferential community detection in networks: pitfalls, myths, and half-truthscited by 3
- 2022Implicit models, latent compression, intrinsic biases, and cheap lunches in community detectioncited by 3
- 2022Systematic assessment of the quality of fit of the stochastic block model for empirical networkscited by 1
- 2025Directed Link Prediction using GNN with Local and Global Feature Fusioncited by 0
- 2025Reliable data clustering with Bayesian community detectioncited by 0
- 2025Reliable data clustering with Bayesian community detection16 Oct 2025
- 2025Directed Link Prediction using GNN with Local and Global Feature Fusion25 Jun 2025
- 2022Implicit models, latent compression, intrinsic biases, and cheap lunches in community detection17 Oct 2022
- 2022The Multivariate Community Hawkes Model for Dependent Relational Events in Continuous-time Networks2 May 2022
- 2022Systematic assessment of the quality of fit of the stochastic block model for empirical networks5 Jan 2022
- 2021Descriptive vs. inferential community detection in networks: pitfalls, myths, and half-truths30 Nov 2021