arXiv Machine Learning August 24, 2026 By Partha Sarathi Mondal, Manav Kumar Jalan, Anish Kumar, Shradha Mishra

Robust Discovery of Coarse-Grained Continuum Equations from Microscopic Dynamics

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The paper applies PDE‑SINDy to phase‑separating systems to discover governing PDEs from spatiotemporal data. It finds that accuracy improves with more data, while larger function libraries reduce efficiency. For the Glauber spin‑flip Ising model, selection probabilities uncover a hierarchy of equations, and a strict threshold recovers a Model‑A‑like equation that reproduces phase‑separation dynamics.

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