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Machine-precision prediction achieved for chaotic systems

A new research paper demonstrates that low-dimensional chaotic systems can be predicted with machine precision from noise-free data. The study introduces a system-agnostic method using ordinary least squares regression with high-degree polynomial features and 512-bit arithmetic. This approach achieves prediction times significantly longer than previous methods, extending to 36 Lyapunov times for the Lorenz-63 system and even further with optimized precision. The findings were validated on more complex systems like Thomas' Cyclically Symmetric Attractor and the Lorenz-96 model, suggesting that forecasting such systems from clean data is now effectively a solved problem. AI

IMPACT This research suggests that forecasting low-dimensional chaotic systems from noise-free data is effectively a solved problem, potentially impacting scientific modeling and simulation.

RANK_REASON The cluster contains a research paper detailing a new method for predicting chaotic systems. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.LG →

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Machine-precision prediction achieved for chaotic systems

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The cluster contains a research paper detailing a new method for predicting chaotic systems. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Christof Sch\"otz, Niklas Boers ·

    Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data

    arXiv:2507.09652v2 Announce Type: replace-cross Abstract: Low-dimensional chaotic systems such as the Lorenz-63 model are commonly used to benchmark system-agnostic methods for learning dynamics from data. This study shows that learning from noise-free observations in such system…