Reconstructing Mesoscale Network Structures

Figure 6

Left panel: comparison between the numerical values of the BIC computed for the SBM (blue trend) and the DRG (red trend), on a bimodular network where the link density of the two communities (; ) amounts at . Notice that a region of values around exists where the SBM is penalized: only one global parameter is, in fact, enough to satisfactorily reproduce the network structure. As the link density of the off-diagonal blocks deviates from the value the network becomes more and more heterogeneous and specifying the modules is indeed rewarding. Right panel: comparison between the numerical values of the BIC computed for the SBM (blue trend) and the DRG (red trend), on a core-periphery network where the link density of the two blocks (; ) amounts at and . Notice that no region of values exists where the DRG is to be preferred: the network, in fact, is so heterogeneous that only one global parameter is not enough to account for its structure.