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Lagrangian–Eulerian learning of flow field and trajectories with TrajectoryFlowNet

Nature Machine Intelligence, Published online: 20 October 2026; doi:10.1038/s42256-026-01316-7

Wan et al. introduce a physics-informed learning model that simultaneously predicts long-range particle paths and flow fields based on very limited trajectory measurements, validated in both simulations and blood-flow experiments.
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