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Efficient Learning of Mesh-Based Physical Simulation with Bi-Stride Multi-Scale Graph Neural Network
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| bi-stride pooling with one MP per level and non-parametric transitions (vs. flat/spatial-proximity multi-scale baselines) | BSMS-GNN · INFLATINGFONT | rollout RMSE: cutting down 40% of rollout RMSE | Helped |
| bi-stride pooling vs spatial-proximity pooling (MS-GNN-GRID) | BSMS-GNN · AIRFOIL and INFLATINGFONT | inference time per step: 1.5x faster on AIRFOIL/INFLATINGFONT vs MS-GNN-GRID | Helped |
| learnable pooling (GraphUNets) instead of bi-stride pooling | GraphUNets · all datasets except AIRFOIL | rollout RMSE | Hurt |
| bi-stride pooling vs spatial proximity pooling | BSMS-GNN · 1-D heat transfer failure case | correctness of boundary prediction | Helped |
| one MP per level and non-parametric transitions (vs learnable transitions) | BSMS-GNN · training memory across datasets | training memory footprint: 43%-87% of MS-GNN-GRID memory; 48%-53% of MeshGraphNets | Helped |
| learnable pooling (GraphUNets) with adjacency matrix multiplication | GraphUNets · INFLATINGFONT | training time per epoch: nearly 50 hours per epoch | Hurt |
| DEFORMINGPLATE: flat architecture with small mesh; bi-stride offers no clear advantage in accuracy | BSMS-GNN · DEFORMINGPLATE | rollout RMSE | No clear effect |
Closest papers by meaning
- PIORF: Physics-Informed Ollivier-Ricci Flow for Long–Range Interactions in Mesh Graph Neural Networks (ICLR 2025 · similarity 0.88)
- MeshMask: Physics-Based Simulations with Masked Graph Neural Networks (ICLR 2025 · similarity 0.86)
- EvoMesh: Adaptive Physical Simulation with Hierarchical Graph Evolutions (ICML 2025 · similarity 0.86)
- PIG: Physics-Informed Gaussians as Adaptive Parametric Mesh Representations (ICLR 2025 · similarity 0.85)
- UGM2N: An Unsupervised and Generalizable Mesh Movement Network via M-Uniform Loss (NeurIPS 2025 · similarity 0.85)
- Learning Distributions of Complex Fluid Simulations with Diffusion Graph Networks (ICLR 2025 · similarity 0.85)
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