o represent a Multinomial Stochastic Block Model. Such model can be used to cluster multilayer-graph vertex, and model a square adjacency cube \(X\) of size NxNxM with the following generative model :
$$ \pi \sim Dirichlet(\alpha)$$
$$ Z_i  \sim \mathcal{M}(1,\pi)$$
$$ \theta_{kl} \sim Dirichlet(\beta)$$
$$ X_{ij.}|Z_{ik}Z_{jl}=1 \sim \mathcal{M}(L_{ij},\theta_{kl})$$
With \(L_{ij}=\sum_{m=1}^MX_{ijm}\). These classes mainly store the prior parameters value \(\alpha,\beta\) of this generative model.
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