Using Echo-State Networks to Reproduce Rare Events in Chaotic Systems

Excerpt

arXiv:2505.16208v3 Announce Type: replace-cross Abstract: Echo-State Networks (ESNs) are known to reproduce trajectories and main properties of chaotic attractors. Here, we investigate the question of whether ESNs can reproduce rare events in a system with a stationary distribution with slowly decaying bounded tails. In particular, we consider the chaotic four-dimensional competitive Lotka--Volterra system, and quantify extremes using the Generalized Extreme Value distribution. In stationary sim