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On Graph Neural Networks versus Graph-Augmented MLPs

ICLR 2021 · Graph learning › GNN architectures · approach: Weisfeiler-Leman expressivity hierarchies · 8 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace GA-MLP-A with GINattributed-walk counting on Cora · CoraMSE loss divided by label variance: 1.56E-1 -> 9.72E-7Helped
replace GA-MLP-A with GINattributed-walk counting on RRG · RRGMSE loss divided by label variance: 2.13E-2 -> 2.61E-4Helped
use twice as many powers of the operator (ablation)GA-MLP-A on Cora attributed-walk counting · Cora trainMSE loss divided by label variance: 1.23E-1 -> 1.87E-2Helped
use twice as many powers of the operator (ablation)GA-MLP-A on Cora attributed-walk counting · Cora testMSE loss divided by label variance: 1.56E-1 -> 6.44E-2Helped
use twice as many powers of the operator (ablation)GA-MLP-A on RRG attributed-walk counting · RRGMSE loss divided by label variance: 1.75E-2 -> 1.69E-2; 2.13E-2 -> 2.13E-2Mixed
replace A with the Bethe Hessian operator familyGA-MLP for community detection · binary SBMoverlapHelped
replace A with the normalized operator family Ã_(1) (ablation)GA-MLP for community detection · binary SBMoverlapNo clear effect
use an A-only sGNN with the same receptive fieldGA-MLP-A comparison for community detection · binary SBMoverlapNo clear effect
use GA-MLP-A instead of GNNrooted-graph equivalence class separation at K=2 · Cora, Citeseer, and Pubmed rooted graphsnumber of equivalence classes: 1589 vs 756; 984 vs 506; 8059 vs 3762Hurt

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