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Clustering by deep latent position model with graph convolutional network

Author

Listed:
  • Dingge Liang

    (Université Côte d’Azur
    Institute of Applied Physics and Computational Mathematics
    Shanghai Zhangjiang Institute of Mathematics)

  • Marco Corneli

    (Université Côte d’Azur
    Université Côte d’Azur)

  • Charles Bouveyron

    (Université Côte d’Azur)

  • Pierre Latouche

    (Université Clermont Auvergne)

Abstract
With the significant increase of interactions between individuals through numeric means, clustering of nodes in graphs has become a fundamental approach for analyzing large and complex networks. In this work, we propose the deep latent position model (DeepLPM), an end-to-end generative clustering approach which combines the widely used latent position model (LPM) for network analysis with a graph convolutional network encoding strategy. Moreover, an original estimation algorithm is introduced to integrate the explicit optimization of the posterior clustering probabilities via variational inference and the implicit optimization using stochastic gradient descent for graph reconstruction. Numerical experiments on simulated scenarios highlight the ability of DeepLPM to self-penalize the evidence lower bound for selecting the number of clusters, demonstrating its clustering capabilities compared to state-of-the-art methods. Finally, DeepLPM is further applied to an ecclesiastical network in Merovingian Gaul and to a citation network Cora to illustrate the practical interest in exploring large and complex real-world networks.

Suggested Citation

  • Dingge Liang & Marco Corneli & Charles Bouveyron & Pierre Latouche, 2025. "Clustering by deep latent position model with graph convolutional network," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 19(1), pages 237-270, March.
    • Handle: RePEc:spr:advdac:v:19:y:2025:i:1:d:10.1007_s11634-024-00583-9
    DOI: 10.1007/s11634-024-00583-9
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