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Path Integral Based Convolution and Pooling for Graph Neural Networks

NeurIPS 2020 · Graph learning › GNN architectures · approach: Deep graph convolution and simplification · 33 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace GCN/GIN convolution+pooling with PANConv+PANPoolgraph classification GNN · PointPattern phi_RSA=0.4test accuracy (%): 85.1 -> 94.4Helped
replace GCNConv+TopKPool with PANConv+PANPoolgraph classification GNN · AIDStest accuracy (%): 79.25 -> 92.75Helped
replace SGConv+EdgePool with PANConv+PANPoolgraph classification GNN · MUTAGENtest accuracy (%): 70.05 -> 69.70Hurt
use PANConv+PANPool instead of GCNConv+SAGPoolgraph classification GNN · PROTEINS_fulltest accuracy (%): 72.65 -> 72.65No clear effect
use hybrid PANPool (Xp + beta diag(M)) instead of pooling on MX l2 norm (ablation)PAN · AIDStest accuracy (%): 80.6 -> 97.5Helped
use normalized MET diagonal (PANPool) instead of unnormalized in hybrid score (ablation)PAN · PROTEINStest accuracy (%): 69.7 -> 76.6Helped
use hybrid PANPool instead of unnormalized-MET-only pooling (PANUMPool) (ablation)PAN · AIDStest accuracy (%): 82.7 -> 97.5Helped
use hybrid PANPool instead of unnormalized hybrid pooling (PANXUMPool) (ablation)PAN · PROTEINS_fulltest accuracy (%): 72.6 -> 71.7Mixed
replace GCNConv+TopKPool with PANConv+PANPoolgraph regression · QM7test MAE: 43.6 -> 42.8Helped
vary PANPool variant (UM, XUM, M, XHM) on QM7 (ablation)PAN · QM7test MAE: 43.6 -> 43.0No clear effect

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