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Mask-Morph Graph U-Net: A Generalisable Mesh-Based Surrogate for Crashworthiness Field Prediction under Large Geometric Variation

Summary

Mask-Morph Graph U-Net (MMGUNet) is a novel approach to address limitations of hierarchical Graph U-Net architectures with edge-specific layers. It morphs coarse graph hierarchies to input meshes via feature-aligned barycentric parameterization and employs node masking during supervised pretraining. Evaluations show improved accuracy and data efficiency, outperforming baselines in various transfer settings.

SourcearXiv Machine LearningAuthor: Haoran Li, Tobias Lehrer, Yingxue Zhao, Haosu Zhou, Philipp Stocker, Tobias Pfaff, Nan Li
Mask-Morph Graph U-Net: A Generalisable Mesh-Based Surrogate for Crashworthiness Field Prediction under Large Geometric Variation
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[2605.15231] Mask-Morph Graph U-Net: A Generalisable Mesh-Based Surrogate for Crashworthiness Field Prediction under Large Geometric Variation

[Submitted on 13 May 2026]

Title:Mask-Morph Graph U-Net: A Generalisable Mesh-Based Surrogate for Crashworthiness Field Prediction under Large Geometric Variation

View a PDF of the paper titled Mask-Morph Graph U-Net: A Generalisable Mesh-Based Surrogate for Crashworthiness Field Prediction under Large Geometric Variation, by Haoran Li and 6 other authors

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Abstract:Nonlinear finite element crash simulations are accurate but computationally expensive, limiting their use in iterative design optimisation. Machine-learning surrogate models based on graph neural networks (GNNs) offer a faster alternative. Message-passing GNNs are widely used for mesh simulation, and their shared node and edge update functions are relatively generalisable across varying graph structures. By contrast, non-shareable edge-specific aggregation layers can capture nonlinear relationships more accurately but usually require fixed graph connectivity, which limits generalisability. This paper presents Mask-Morph Graph U-Net (MMGUNet), a practical approach to addressing the limitation of hierarchical Graph U-Net architectures that use edge-specific downsampling and upsampling layers. Fixed coarse graph connectivity is required for edge-specific layers. To retain this while improving spatial correspondence, the proposed method morphs the coarsened graph hierarchy to each input mesh using feature-aligned barycentric parameterisation before constructing cross-graph edges. It further applies node masking during supervised pretraining, followed by parameter-efficient fine-tuning in which high-parameter edge-specific layers are frozen. The proposed approach is evaluated in in-distribution, out-of-distribution, and cross-component transfer settings using mean Euclidean distance and maximum intrusion percentage error. Results show that coarse-graph morphing improves test accuracy relative to a fixed-coarse-graph baseline, while masked supervised pretraining reduces the train-test discrepancy and improves data efficiency during transfer. The proposed model also achieves lower prediction error compared with external baselines. These results demonstrate a practical route toward reusable, data-efficient mesh-based surrogate modelling for crashworthiness design exploration.

Comments: 48 pages, 15 figures, jounral paper to be submitted

Subjects:

Machine Learning (cs.LG); Computer Vision and Pattern Recognition (cs.CV)

Cite as: arXiv:2605.15231 [cs.LG]

(or arXiv:2605.15231v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2605.15231

arXiv-issued DOI via DataCite

Submission history

From: Nan Li [view email] [v1] Wed, 13 May 2026 18:04:58 UTC (16,237 KB)

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Key points

  • MMGUNet improves spatial correspondence by morphing coarse graph to each input mesh.
  • Masked supervised pretraining reduces train-test discrepancy and enhances data efficiency.
  • The model achieves lower prediction error than external baselines in in-distribution and out-of-distribution settings.

Highlights and analysis are generated automatically and may contain errors. Check the original source.