Fig. 3: Information propagation in the critical regime.
From: Fish shoals resemble a stochastic excitable system driven by environmental perturbations

a, Illustration of the PZ and SZ for sensitivity analysis. b, Heatmap showing the values of the parameter ΦAUC(ω, θ, μ⋆). The blue cross denotes the location of the parameters (ω⋆, θ⋆). c, Scheme to describe the training of the RNN for different parameters (ω, θ) to classify the event of a perturbation. The training was implemented using the BPTT technique (Methods). d, Scheme to visualize the PZ and SZ for analysis of the propagation of information through the system. e, Heatmap showing the accuracy of the RNN. We find that the empirically fitted parameters (ω⋆, θ⋆) (highlighted with a blue cross) are located where the accuracy peaks.