Papers › Learning the mechanisms of network growth

Learning the mechanisms of network growth

31 Mar 2024arXiv:2404.00793archive 2025-07-28

Lourens Touwen, Doina Bucur, Remco van der Hofstad, Alessandro Garavaglia, Nelly Litvak

We propose a novel model-selection method for dynamic networks. Our approach involves training a classifier on a large body of synthetic network data. The data is generated by simulating nine state-of-the-art random graph models for dynamic networks, with parameter range chosen to ensure exponential growth of the network size in time. We design a conceptually novel type of dynamic features that count new links received by a group of vertices in a particular time interval. The proposed features are easy to compute, analytically tractable, and interpretable. Our approach achieves a near-perfect classification of synthetic networks, exceeding the state-of-the-art by a large margin. Applying our classification method to real-world citation networks gives credibility to the claims in the literature that models with preferential attachment, fitness and aging fit real-world citation networks best, although sometimes, the predicted model does not involve vertex fitness.

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LourensT/DynamicNetworkSimulation officialmentioned on GitHub report

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Tasks

Graph ClassificationModel Selection

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Introduced by this paper, per the archive.

Synthetic Dynamic Networks

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Graph Classification Synthetic Dynamic Networks Time-cohort Dynamic Features + Static Features Accuracy 98.4 #1 of 3 Archive leaderboard report
Graph Classification Synthetic Dynamic Networks Size-cohort Dynamic Features + Static Features Accuracy 98.06 #2 of 3 Archive leaderboard report
Graph Classification Synthetic Dynamic Networks Static Features Accuracy 92.81% #3 of 3 Archive leaderboard report

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