The interplay between ranking and communities in networks. (arXiv:2112.12670v2 [cs.SI] UPDATED)

Community detection and hierarchy extraction are usually thought of as
separate inference tasks on networks. Considering only one of the two when
studying real-world data can be an oversimplification. In this work, we present
a generative model based on an interplay between community and hierarchical
structures. It assumes that each node has a preference in the interaction
mechanism and nodes with the same preference are more likely to interact, while
heterogeneous interactions are still allowed. The sparsity of the network …

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