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Ordered GNN: Ordering Message Passing to Deal with Heterophily and Over-smoothing

ICLR 2023 · Graph learning › GNN architectures · approach: Graph rewiring and scalable message passing · 18 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use ordered message-passing gates instead of independently predicted gates (ablation)Ordered GNN · CiteSeer, homophily, 8 layersaccuracy: 75.78{\scriptstyle\pm1.49} -> 76.45{\scriptstyle\pm1.35}Helped
use ordered message-passing gates instead of independently predicted gates (ablation)Ordered GNN · Wisconsin, heterophily, 8 layersaccuracy: 86.27{\scriptstyle\pm5.23} -> 85.69{\scriptstyle\pm4.90}Hurt
use ordered message-passing gates instead of independently predicted gates (ablation)Ordered GNN · CiteSeer, over-smoothing, 32 layersaccuracy: 79.30 -> 79.40Helped
add independently predicted gates to the mean-aggregator GNN (ablation)Bare GNN · CiteSeer, homophily, 8 layersaccuracy: 73.79{\scriptstyle\pm1.57} -> 75.78{\scriptstyle\pm1.49}Helped
add independently predicted gates to the mean-aggregator GNN (ablation)Bare GNN · Wisconsin, heterophily, 8 layersaccuracy: 53.92{\scriptstyle\pm5.79} -> 86.27{\scriptstyle\pm5.23}Helped
add independently predicted gates to the mean-aggregator GNN (ablation)Bare GNN · CiteSeer, over-smoothing, 32 layersaccuracy: 74.70 -> 79.30Helped
add differentiable SOFTOR to ordered gates (ablation)Ordered GNN · CiteSeer, homophily, 8 layersaccuracy: 76.45{\scriptstyle\pm1.35} -> 77.31{\scriptstyle\pm1.73}Helped
add differentiable SOFTOR to ordered gates (ablation)Ordered GNN · Wisconsin, heterophily, 8 layersaccuracy: 85.69{\scriptstyle\pm4.90} -> 88.04{\scriptstyle\pm3.63}Helped
add differentiable SOFTOR to ordered gates (ablation)Ordered GNN · CiteSeer, over-smoothing, 32 layersaccuracy: 79.40 -> 80.80Helped
use Ordered GNN rather than the strongest reported baselinenode classification · CiteSeeraccuracy: 78.02{\scriptstyle\pm1.15} -> 77.31\pm1.73Hurt
use Ordered GNN rather than the strongest reported baselinenode classification · ogbn-arxivaccuracy: 73.11{\scriptstyle\pm0.21} -> 72.81{\scriptstyle\pm0.21}Hurt
use Ordered GNN rather than the strongest reported baselinenode classification · PubMed, 64 layersaccuracy: 91.60 -> 91.60No clear effect

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