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Improving Breadth-Wise Backpropagation in Graph Neural Networks Helps Learning Long-Range Dependencies.

ICML 2021 · Graph learning › GNN architectures · approach: GNN generalization theory · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Attention-based aggregation with residual message function and breadth-wise skip connections (ResRGAT) instead of baseline GNNsResRGAT · Conditional recall N=15accuracy: 95.4 vs 30.2 best baseline (RGAT)Helped
Removing the skip connection over attention (transformer-style skip) (ablation)ResRGAT · Conditional recall N=15accuracy: 33.3 vs 95.4 full modelHurt
Adding a linear value transformation in attention (ablation)ResRGAT · Conditional recall N=15accuracy: 82.8 vs 95.4Hurt
Adding SGRU node update to ResRGAT (ablation)ResRGAT · Conditional recall N=15accuracy: 92.4 vs 95.4Hurt
Adding skip connection over attention is harmful; removing skip-over-attention lowers Tree Max accuracy (ablation)ResRGAT · Tree maxgraph-level accuracy: 79.0 vs 83.8Hurt
Not concatenating edge features into key vector (ablation)ResRGAT · Tree maxnode-level accuracy: 92.5 vs 93.3Hurt
Adding linear value transformation (ablation)ResRGAT · Tree maxnode-level accuracy: 92.4 vs 93.3 (graph-level 81.8 vs 83.8)Hurt
Adding SGRU node update to ResRGAT (ablation)ResRGAT · ZINCMAE: 0.240 vs 0.327 (4 layers); 0.212 vs 0.314 (16 layers)Helped
Adding SGRU node update to ResRGAT (ablation)ResRGAT · OGBG-CODE2test F1: 0.1676 vs 0.1715Hurt
Depth-wise-only skip connection baselines (GGNN, GatedGCN, Transformer) vs skip-less RGCN/RGATbaseline GNNs · Conditional recall N=15accuracy: GGNN 3.3, GatedGCN 4.4, Rel. TM 4.6 vs RGAT 30.2Hurt
Using SGRU instead of GRU as node update in GNNs (ablation)GNN with node-wise update · Conditional recall N=15accuracy: 84.4 vs 4.6 (GRU at N=15 is 4.6 ± 1.9)Helped
Attention-based ResRGAT on ZINC without SGRU vs baselinesResRGAT · ZINCMAE: 0.327 (4-layer) vs GatedGCN 0.375 but PNA 0.188Mixed

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