Curriculum learning for mesh-based simulations
Graph neural networks (GNNs) have emerged as powerful surrogates for mesh-based computational fluid dynamics, 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.
Authors
- Vincent Lannelongue
- Paul Garnier
- Elie HACHEM
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Paris Sciences et Lettres (FR)
- Centre de Mise en Forme des Matériaux (FR)
Publication Details
- Journal
- Physics of Fluids
- Published
- 2026-02-01
- DOI
- https://doi.org/10.1063/5.0316165
- Primary Topic
- Model Reduction and Neural Networks
- Type
- article
- Field-Weighted Citation Impact
- 0.00