ResearchResearch paperRobotics & Embodied AI · Reinforcement Learning · Large Language Models1 source · Oct 7, 2026

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

In this work, we propose a physics-informed neural cellular automaton (PI-NCA) for data-driven traffic flow modeling.

Key points

  • Traffic flow modeling is essential for understanding and predicting the collective dynamics of vehicles on road networks.
  • Cellular automata provide a simple, interpretable yet powerful framework for representing these dynamics via local interaction rules, while retaining the ability to reproduce complex macroscopic traffic phenomena.
  • Building on the standard neural cellular automaton (NCA), we design a neural architecture that is physically consistent with the road topology and guarantees conservation of the total number of vehicles, thereby constraining the learned transition rules to physically admissible dynamics.
  • The results demonstrate that the PI-NCA successfully learns the dynamics of both traffic models and consistently outperforms a standard NCA, while the stochastic extension captures probabilistic transition rules without compromising the imposed physical constraints.

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