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arXiv · 2505.16208

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

Anton Erofeev·Balasubramanya T. Nadiga·Ilya Timofeyev
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Abstract

We apply Echo-State Networks to predict 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 also demonstrate that the Echo-State Networks reproduce rare events in the non-equilibrium simulations of the Lotka-Volterra system. We use the Generalized Extreme Value distribution to quantify the tail behavior.

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Anton Erofeev, Balasubramanya T. Nadiga, Ilya Timofeyev. 2025-05-22. Using Echo-State Networks to Reproduce Rare Events in Chaotic Systems. https://arxiv.org/abs/2505.16208

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