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Topological Graph Neural Networks

ICLR 2022 · Graph learning › GNN architectures · approach: Substructure-aware GNN expressivity · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace a GCN layer with TOGLGCN · MNISTaccuracy: 90.0 -> 95.5Helped
Replace a GIN layer with TOGLGIN · DDaccuracy: 70.8 -> 75.2Helped
Replace a GCN layer with TOGLGCN · ENZYMESaccuracy: 65.8 -> 53.0Hurt
Replace a GIN layer with TOGLGIN · MNISTaccuracy: 96.1 -> 96.1No clear effect
Replace a GCN layer with TOGLGCN · CLUSTERweighted accuracy: 57.0 -> 60.4Helped
Replace a GIN layer with TOGLGIN · MOLHIV (structure-based)ROC-AUC: 68.7 -> 65.1Hurt
Replace a GAT layer with TOGLGAT · Pattern (structure-based)accuracy: 73.1 -> 59.6Hurt
Use learnable rather than static filtrations (ablation)GCN-1-TOGL-1 · IMDB-MULTIaccuracy: 48.3 \pm 4.9 -> 52.0 \pm 4.0Helped
Use learnable rather than static filtrations (ablation)GCN-1-TOGL-1 · REDDIT-B (topology methods)accuracy: 90.4 \pm 1.4 -> 90.1 \pm 0.8Hurt
Use an embedding function that models interactions between persistence-diagram points (ablation)TOGL · Experiments across datasetspredictive performanceNo clear effect
Add cycle and connected-component information (ablation)TOGL on synthetic datasets · Cycles and NecklacesaccuracyHelped
Use learned task-based filtrations rather than static degree-based filtration (ablation)TOGL · NecklacesaccuracyHelped

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