Approximate Bayesian Computation for Exponential Random Graph Models for Large Social Networks

被引:11
|
作者
Wang, Jing [1 ]
Atchade, Yves F. [2 ]
机构
[1] Google, Mountain View, CA USA
[2] Univ Michigan, Dept Stat, Ann Arbor, MI 48109 USA
关键词
Bayesian inference; Exponential random graph model; Intractable normalizing constants; Markov chain Monte Carlo; INTRACTABLE NORMALIZING CONSTANTS;
D O I
10.1080/03610918.2012.703359
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We consider the issue of sampling from the posterior distribution of exponential random graph (ERG) models and other statistical models with intractable normalizing constants. Existing methods based on exact sampling are either infeasible or require very long computing time. We study a class of approximate Markov chain Monte Carlo (MCMC) sampling schemes that deal with this issue. We also develop a new Metropolis-Hastings kernel to sample sparse large networks from ERG models. We illustrate the proposed methods on several examples.
引用
收藏
页码:359 / 377
页数:19
相关论文
共 50 条
  • [1] GLMLE: graph-limit enabled fast computation for fitting exponential random graph models to large social networks
    He R.
    Zheng T.
    [J]. Social Network Analysis and Mining, 2015, 5 (1) : 1 - 19
  • [2] Estimation of Exponential Random Graph Models for Large Social Networks via Graph Limits
    He, Ran
    Zheng, Tian
    [J]. 2013 IEEE/ACM INTERNATIONAL CONFERENCE ON ADVANCES IN SOCIAL NETWORKS ANALYSIS AND MINING (ASONAM), 2013, : 254 - 261
  • [3] Multilevel models for social networks: Hierarchical Bayesian approaches to exponential random graph modeling
    Slaughter, Andrew J.
    Koehly, Laura M.
    [J]. SOCIAL NETWORKS, 2016, 44 : 334 - 345
  • [4] Bayesian nonparametric mixtures of Exponential Random Graph Models for ensembles of networks
    Ren, Sa
    Wang, Xue
    Liu, Peng
    Zhang, Jian
    [J]. SOCIAL NETWORKS, 2023, 74 : 156 - 165
  • [5] An introduction to exponential random graph (p*) models for social networks
    Robins, Garry
    Pattison, Pip
    Kalish, Yuval
    Lusher, Dean
    [J]. SOCIAL NETWORKS, 2007, 29 (02) : 173 - 191
  • [6] Bayesian inference for exponential random graph models
    Caimo, Alberto
    Friel, Nial
    [J]. SOCIAL NETWORKS, 2011, 33 (01) : 41 - 55
  • [7] Bayesian exponential random graph models with nodal random effects
    Thiemichen, S.
    Friel, N.
    Caimo, A.
    Kauermann, G.
    [J]. SOCIAL NETWORKS, 2016, 46 : 11 - 28
  • [8] Snowball sampling for estimating exponential random graph models for large networks
    Stivala, Alex D.
    Koskinen, Johan H.
    Rolls, David A.
    Wang, Peng
    Robins, Garry L.
    [J]. SOCIAL NETWORKS, 2016, 47 : 167 - 188
  • [9] Recent developments in exponential random graph (p*) models for social networks
    Robins, Garry
    Snijders, Tom
    Wang, Peng
    Handcock, Mark
    Pattison, Philippa
    [J]. SOCIAL NETWORKS, 2007, 29 (02) : 192 - 215
  • [10] Exponential Random Graph Models for Social Networks: Theory, Methods, and Applications
    Brashears, Matthew E.
    [J]. CONTEMPORARY SOCIOLOGY-A JOURNAL OF REVIEWS, 2014, 43 (04) : 552 - 553