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Paper · arXiv

Mesh-Native Tokenisation: Retrofitting Foundation Models to Unstructured Data

Physics foundation models are an increasingly popular approach for building versatile emulators for spatiotemporal systems. They require tokenisation layers that lift physical field data into a latent representation suitable for dynamic processing. A typical choice for this layer is a convolutional encoder, which lifts field information in a locality-aware way and can be trained very efficiently. However, this choice cannot be applied to a large class of scientific computing problems where data are represented on unstructured meshes, for example simulations on domains with curved boundaries. Such data typically require graph neural network architectures, which are more expensive to train ...

AuthorsGeorg Maierhofer, Miles Cranmer, Payel Mukhopadhyay
Primary categorycs.CE
Published8 October 2026
Last updated at source8 October 2026
cs.CEcs.AImath.NA
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