arXiv Machine Learning By Federica Bragone, Matthieu Barreau

Learning Traffic Flow Dynamics with Stochastic Physics-Informed Neural Cellular Automata

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The paper introduces a physics-informed neural cellular automaton (PI‑NCA) designed to learn traffic flow dynamics from data while respecting physical constraints such as vehicle conservation and road topology. By extending the model to stochastic dynamics, it can capture probabilistic transition rules without violating these constraints. Experiments on Nagel‑Schreckenberg and Kerner‑Klenov‑Wolf cellular automata show that PI‑NCA outperforms standard neural cellular automata in learning both deterministic and stochastic traffic models.

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