Figure 11.

Reconstructing spreading couplings in inhomogeneous networks. (a) Mean squared reconstruction error $\text{MSE}=\sum _{i<j}{({\lambda }_{ij}-{\lambda }_{ij}^{\mathrm{true}})}^2/|E|$ in a random regular graph of size |V| = 20 and degree d = 4, as a function of the number of observed cascades M. The network structure is known in advance. The spreading couplings ${\lambda }_{ij}^{\mathrm{true}}$ have been extracted randomly from the homogeneous distribution in the interval [0, 1]. The state of the network is observed only at time T = 5 for each cascade. (b) Scatter plot of reconstructed transmission probabilities λ_ij versus true spreading couplings ${\lambda }_{ij}^{\mathrm{true}}$ for the cases M = 20 and M = 400, corresponding to the golden and green points in (a), respectively. (Online version in colour.)