An S4 class to represent a Multinomial Stochastic Block Model, extends icl_model-class. 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 $$L_{ij}=\sum_{m=1}^MX_{ijm}$$. This class mainly store the prior parameters value $$\alpha,\beta$$ of this generative model in the following slots:

## Slots

name

name of the model

alpha

Dirichlet over cluster proportions prior parameter

beta

Dirichlet prior parameter over Multinomial links

type

define the type of networks (either "directed" or "undirected", default to "directed")

multsbm_fit-class, multsbm_path-class