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Do We Need Anisotropic Graph Neural Networks?

ICLR 2022 · Graph learning › GNN architectures · approach: GNN generalization theory · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use isotropic EGC-M with multiple aggregators instead of anisotropic PNAEGC-M · ZINCMAE: 0.320 ± 0.032 -> 0.281 ± 0.007Helped
Use isotropic EGC-M with multiple aggregators instead of anisotropic PNAEGC-M · CIFAR-10 Superpixelsaccuracy: 70.21 ± 0.15 -> 71.03 ± 0.42Helped
Use isotropic EGC-M with multiple aggregators instead of anisotropic PNAEGC-M · MolHIVROC-AUC: 79.05 ± 1.32 -> 78.18 ± 1.53Hurt
Use isotropic EGC-M with multiple aggregators instead of anisotropic PNAEGC-M · Code-V2F1: 0.1570 ± 0.0032 -> 0.1595 ± 0.0019Helped
Use EGC-S instead of the strongest listed baselineEGC-S · Arxivaccuracy: 71.92 ± 0.21 -> 72.21 ± 0.17Helped
Add multiple aggregator functions to EGC-S to form EGC-M (ablation)EGC · ZINCMAE: 0.364 ± 0.020 -> 0.281 ± 0.007Helped
Add multiple aggregator functions to EGC-S to form EGC-M (ablation)EGC · CIFAR-10 Superpixelsaccuracy: 66.92 ± 0.37 -> 71.03 ± 0.42Helped
Apply an activation function to combination weights (ablation)EGC-S · ZINCMAE: 0.364 ± 0.020 -> 0.435 ± 0.010 (Hardtanh); 0.366 ± 0.008 (Sigmoid); 0.404 ± 0.010 (Softmax)Hurt
Use DropEdge with p = 0.1 (ablation)EGC-S · ZINCMAE: 0.364 ± 0.020 -> 0.468 ± 0.007Hurt
Use DropEdge with p = 0.5 (ablation)EGC-S · ZINCMAE: 0.364 ± 0.020 -> 0.629 ± 0.023Hurt
Apply GraphSAINT node sampling with p = 0.1 (ablation)EGC-S · ZINCMAE: 0.364 ± 0.020 -> 0.631 ± 0.012Hurt
Replace the chosen EGC-M aggregator set with symmetric normalization + max + min (ablation)EGC-M · CIFAR-10 Superpixelsaccuracy: 71.03 ± 0.42 -> 70.05 ± 1.14Hurt

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