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Learning to Simulate Complex Physics with Graph Networks

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arxiv 2002.09405 v2 pith:WTT5IQ7T submitted 2020-02-21 cs.LG physics.comp-phstat.ML

classification cs.LGphysics.comp-phstat.ML
keywords graphmodelparticlesphysicalcomplexframeworklearnedlearning
verification ladder T0 review T1 audit T2 compute T3 formal
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Here we present a machine learning framework and model implementation that can learn to simulate a wide variety of challenging physical domains, involving fluids, rigid solids, and deformable materials interacting with one another. Our framework---which we term "Graph Network-based Simulators" (GNS)---represents the state of a physical system with particles, expressed as nodes in a graph, and computes dynamics via learned message-passing. Our results show that our model can generalize from single-timestep predictions with thousands of particles during training, to different initial conditions, thousands of timesteps, and at least an order of magnitude more particles at test time. Our model was robust to hyperparameter choices across various evaluation metrics: the main determinants of long-term performance were the number of message-passing steps, and mitigating the accumulation of error by corrupting the training data with noise. Our GNS framework advances the state-of-the-art in learned physical simulation, and holds promise for solving a wide range of complex forward and inverse problems.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 448 citations worldwide. Full citation record

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