Fig. 3: Illustration of the role of triadic interactions in modulating the mutual information between linked nodes.

We consider a network with N = 10 nodes, L = 12 edges, and \(\hat{L}=5\) triadic interactions (a). b, c Display the effect of triadic interactions on the Mutual Information profile MIz. b shows MIz for the triple [4, 9, 5] involved in a positive triadic interaction. c Shows MIz for the triple [1, 2, 6] that is not involved in a triadic interaction. In all panels, simulations were run to \({t}_{\max }=4,000\) with a timestep of dt = 10−2. For the analysis we consider 40, 000 time steps. The parameters of the model are: \(\alpha=0.05,\hat{T}=1{0}^{-3},\Gamma=1{0}^{-2}\), w+ = 8, w− = 0.5, number of bins P = 400.