mlsanityData to 14 Oct 2026

Curriculum Learning for Mesh-based simulations

arXiv 2509.13138 ↗First posted 16 Sep 2025cs.LG physics.comp-phcited by 1

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Abstract (arXiv)

Graph neural networks (GNNs) have emerged as powerful surrogates for mesh-based computational fluid dynamics (CFD), but training them on high-resolution unstructured meshes with hundreds of thousands of nodes remains prohibitively expensive. We study a coarse-to-fine curriculum that accelerates convergence by first training on very coarse meshes and then progressively introducing medium and high resolutions (up to (3×105) nodes). Unlike multiscale GNN architectures, the model itself is unchanged; only the fidelity of the training data varies over time. We achieve comparable generalization accuracy while reducing total wall-clock time by up to 50%. Furthermore, on datasets where our model lacks the capacity to learn the underlying physics, using curriculum learning enables it to break through plateaus.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 9 of its 27 references that are in the map. First posted on arXiv 16 Sep 2025.

Builds on

9 of 27 references.

References · 9

  1. 2019Root Mean Square Layer Normalizationcited by 1,480
  2. 2020Learning Mesh-Based Simulation with Graph Networkscited by 868
  3. 2016Language Modeling with Gated Convolutional Networkscited by 702
  4. 2022Efficient Learning of Mesh-Based Physical Simulation with BSMS-GNNcited by 45
  5. 2021Simulating Continuum Mechanics with Multi-Scale Graph Neural Networkscited by 40
  6. 2021Transfer Learning on Multi-Fidelity Datacited by 18
  7. 2023MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methodscited by 12
  8. 2024Multi-Grid Graph Neural Networks with Self-Attention for Computational Mechanicscited by 9
  9. 2025MeshMask: Physics-Based Simulations with Masked Graph Neural Networkscited by 9

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Citing papers per year: 2025: 1.

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