Mapping flows on weighted and directed networks with incomplete observations
| Autor: | Jelena Smiljanić, Christopher Blöcker, Daniel Edler, Martin Rosvall |
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| Rok vydání: | 2021 |
| Předmět: |
Social and Information Networks (cs.SI)
FOS: Computer and information sciences Physics - Physics and Society incomplete data Control and Optimization Other Physics Topics Computer Networks and Communications Applied Mathematics directed and weighted networks FOS: Physical sciences Computer Science - Social and Information Networks Annan fysik Physics and Society (physics.soc-ph) Management Science and Operations Research the map equation Computational Mathematics Physics - Data Analysis Statistics and Probability community detection Data Analysis Statistics and Probability (physics.data-an) |
| DOI: | 10.48550/arxiv.2106.14798 |
| Popis: | Detecting significant community structure in networks with incomplete observations is challenging because the evidence for specific solutions fades away with missing data. For example, recent research shows that flow-based community detection methods can highlight spurious communities in sparse undirected and unweighted networks with missing links. Current Bayesian approaches developed to overcome this problem do not work for incomplete observations in weighted and directed networks that describe network flows. To overcome this gap, we extend the idea behind the Bayesian estimate of the map equation for unweighted and undirected networks to enable more robust community detection in weighted and directed networks. We derive an empirical Bayes estimate of the transitions rates that can incorporate metadata information and show how an efficient implementation in the community-detection method Infomap provides more reliable communities even with a significant fraction of data missing. Errata: "Correction to “Mapping flows on weighted and directed networks with incomplete observations”, Journal of Complex Networks, Volume 10, Issue 2, April 2022, cnac010, https://doi.org/10.1093/comnet/cnac010" |
| Databáze: | OpenAIRE |
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