Model-based clustering of semiparametric temporal exponential-family random graph models

Model-based clustering of time-evolving networks has emerged as one of the important research topics in statistical network analysis. It is a fundamental research question to model time-varying network parameters. However, due to difficulties in modelling functional network parameters, there is little progress in the current literature to model time-varying network parameters effectively. In this work, we model network parameters as univariate nonparametric functions instead of constants. We effectively estimate those functional network parameters in temporal exponential-family random graph models using a kernel regression technique and a local likelihood approach. Furthermore, we propose a semiparametric finite mixture of temporal exponential-family random graph models by adopting finite mixture models, which simultaneously allows both modelling and detecting groups in time-evolving networks. Also, we use a conditional likelihood to construct an effective model selection criterion and network cross-validation to choose an optimal bandwidth. The power of our method is demonstrated in simulation studies and real-world applications to dynamic international trade networks and dynamic arm trade networks.



Work Title Model-based clustering of semiparametric temporal exponential-family random graph models
Open Access
  1. Kevin H. Lee
  2. Amal Agarwal
  3. Anna Y. Zhang
  4. Lingzhou Xue
  1. Arm trade networks
  2. Dynamic networks
  3. Functional network parameters
  4. International trade networks
  5. Model selection
  6. Temporal ERGMs
  7. Variational EM algorithm
License In Copyright (Rights Reserved)
Work Type Article
  1. Stat
Publication Date January 20, 2022
Publisher Identifier (DOI)
Deposited February 22, 2024




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Work History

Version 1

  • Created
  • Added Stat_-_2022_-_Lee_-_Model_based_clustering_of_semiparametric_temporal_exponential_family_random_graph_models.pdf
  • Added Creator Kevin H. Lee
  • Added Creator Amal Agarwal
  • Added Creator Anna Y. Zhang
  • Added Creator Lingzhou Xue
  • Published
  • Updated Keyword, Publication Date Show Changes
    • Arm trade networks, Dynamic networks, Functional network parameters, International trade networks, Model selection, Temporal ERGMs, Variational EM algorithm
    Publication Date
    • 2022-01-01
    • 2022-01-20
  • Updated

Version 2

  • Created
  • Deleted Stat_-_2022_-_Lee_-_Model_based_clustering_of_semiparametric_temporal_exponential_family_random_graph_models.pdf
  • Added Stat_-_2022_-_Lee_-_Model_based_clustering_of_semiparametric_temporal_exponential_family_random_graph_models.pdf
  • Published
  • Updated