generateDynppsbmConst

Matrix with piecewise constant intensities \(\alpha^{(q,l)}\) (each row gives the constants of the piecewise constant intensity for a group pair \((q,l)\))

intens

Time

Vector of group proportions, should be of length \(Q\)

prop.groups

Boolean for directed (TRUE) or undirected (FALSE) case
If directed then intens should be of length \(Q^2\) and if undirected then length \(Q*(Q+1)/2\)

directed

Generate data under dynppsbm with piecewise constant intensities

Stochastic block model used for dynamic graphs represented by Poisson processes.
To model recurrent interaction events in continuous time, an extension of the stochastic block model is proposed where every individual belongs to a latent group and interactions between two individuals follow a conditional inhomogeneous Poisson process with intensity driven by the individuals’ latent groups. The model is shown to be identifiable and its estimation is based on a semiparametric variational expectation-maximization algorithm. Two versions of the method are developed, using either a nonparametric histogram approach (with an adaptive choice of the partition size) or kernel intensity estimators. The number of latent groups can be selected by an integrated classification likelihood criterion.
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M. Corneli, P. Latouche and F. Rossi (2016). <doi:10.1016/j.neucom.2016.02.031>.
J.-J. Daudin, F. Picard and S. Robin (2008). <doi:10.1007/s11222-007-9046-7>.
A. P. Dempster, N. M. Laird and D. B. Rubin (1977). <http://www.jstor.org/stable/2984875>.
G. Grégoire (1993). <http://www.jstor.org/stable/4616289>.
L. Hubert and P. Arabie (1985). <doi:10.1007/BF01908075>.
M. Jordan, Z. Ghahramani, T. Jaakkola and L. Saul (1999). <doi:10.1023/A:1007665907178>.
C. Matias, T. Rebafka and F. Villers (2018). <doi:10.1093/biomet/asy016>.
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Daphnc3<a9> Giorgi

ppsbm

Clustering in Longitudinal Networks

generateDynppsbmConst function

<dl><dt>intens</dt>
<dd>Matrix with piecewise constant intensities \(\alpha^{(q,l)}\) (each row gives the constants of the piecewise constant intensity for a group pair \((q,l)\))</dd>
<dt>Time</dt>
<dd>Time</dd>
<dt>n</dt>
<dd>Total number of nodes</dd>
<dt>prop.groups</dt>
<dd>Vector of group proportions, should be of length \(Q\)</dd>
<dt>directed</dt>
<dd>Boolean for directed (TRUE) or undirected (FALSE) case
If directed then intens should be of length \(Q^2\) and if undirected then length \(Q*(Q+1)/2\)</dd></dl>

Arguments

Data under dynppsbm with piecewise constant intensities — generateDynppsbmConst

<dl>

<dt>intens</dt>
<dd>Matrix with piecewise constant intensities \(\alpha^{(q,l)}\) (each row gives the constants of the piecewise constant intensity for a group pair \((q,l)\))</dd>


<dt>Time</dt>
<dd>Time</dd>


<dt>n</dt>
<dd>Total number of nodes</dd>


<dt>prop.groups</dt>
<dd>Vector of group proportions, should be of length \(Q\)</dd>


<dt>directed</dt>
<dd>Boolean for directed (TRUE) or undirected (FALSE) case
If directed then intens should be of length \(Q^2\) and if undirected then length \(Q*(Q+1)/2\)</dd>

</dl>

generateDynppsbmConst: Data under dynppsbm with piecewise constant intensities

Description

Usage

Arguments

Examples