Fig. 2: Validation of SNE in numerical simulations.

A A network with eight nodes is used to generate the simulation dataset. B The curve of the SNE score shows a sharp increase near the critical point (\(p=0\)). C To visualize the variations in local SNE scores across each local networks, the overall landscape of these scores is provided. D As the system nears the tipping point, a significant shift in node values (Delta Standard Deviation, ΔSD) and edge weights (Delta Pearson Correlation Coefficient, ΔPCC) is observed within the network structure.