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

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

22 May 2025arXiv:2505.16208archive 2025-07-28

Anton 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.

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