CDMay 22, 2025Code
Using Echo-State Networks to Reproduce Rare Events in Chaotic SystemsAnton Erofeev, Balasubramanya T. Nadiga, Ilya Timofeyev
We apply the Echo-State Networks to predict the time series and statistical properties of the competitive Lotka-Volterra model in the chaotic regime. In particular, we demonstrate that Echo-State Networks successfully learn the chaotic attractor of the competitive Lotka-Volterra model and reproduce histograms of dependent variables, including tails and rare events. We use the Generalized Extreme Value distribution to quantify the tail behavior.