arXiv Machine Learning By Simon Alford, Edward Gu, Omar Costilla-Reyes, Dan Tamayo, Miles Cranmer, Kevin Ellis

Distilling neural networks into equations to predict planetary instability

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The paper presents a two‑stage method that first trains a neural network on N‑body simulations of multi‑planet systems and then distills its knowledge into closed‑form algebraic equations via symbolic regression. These distilled equations predict the onset of dynamical instability across a wide range of mass ratios, spacings, and eccentricities, outperforming existing analytic estimates. The approach yields a small set of interpretable variables that capture the structure of the instability landscape.

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