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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Dynamic stochastic block models
T2 - Parameter estimation and detection of changes in community structure
AU - Ludkin, Matthew
AU - Neal, Peter John
AU - Eckley, Idris Arthur
N1 - The final publication is available at Springer via http://dx.doi.org/10.1007/s11222-017-9788-9
PY - 2018/11
Y1 - 2018/11
N2 - The stochastic block model (SBM) is widely used for modelling network data by assigning individuals (nodes) to communities (blocks) with the probability of an edge existing between individuals depending upon community membership.In this paper we introduce an autoregressive extension of the SBM. This is based on continuous time Markovian edge dynamics. The model is appropriate for networks evolving over time and allows for edges to turn on and off. Moreover, we allow for the movement of individuals between communities. An effective reversible jump Markov chain Monte Carlo algorithm is introduced for sampling jointly from the posterior distribution of the community parameters and the number and location of changes in community membership. The algorithm is successfully applied to a network of mice.
AB - The stochastic block model (SBM) is widely used for modelling network data by assigning individuals (nodes) to communities (blocks) with the probability of an edge existing between individuals depending upon community membership.In this paper we introduce an autoregressive extension of the SBM. This is based on continuous time Markovian edge dynamics. The model is appropriate for networks evolving over time and allows for edges to turn on and off. Moreover, we allow for the movement of individuals between communities. An effective reversible jump Markov chain Monte Carlo algorithm is introduced for sampling jointly from the posterior distribution of the community parameters and the number and location of changes in community membership. The algorithm is successfully applied to a network of mice.
KW - Stochastic block model
KW - Autoregressive dynamic network
KW - Reversible-jump MCMC
KW - Continuous-time network
U2 - 10.1007/s11222-017-9788-9
DO - 10.1007/s11222-017-9788-9
M3 - Journal article
VL - 28
SP - 1201
EP - 1213
JO - Statistics and Computing
JF - Statistics and Computing
SN - 0960-3174
IS - 6
ER -