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A Theoretical Comparison of Graph Neural Network Extensions

ICML 2022 · Graph learning › GNN architectures · approach: Weisfeiler-Leman expressivity hierarchies · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add markings (M_k) instead of node removal as symmetry-breaking approach (GNNs with markings)GNN with markings vs node removal · theoretical expressiveness (graph pairs)distinguishability of graph pairsHelped
Use marked-node-specific aggregation and update functions (markings) so the GNN is injective over marked/unmarked neighborsGNNs with markings · theoretical expressivenessdistinguishability under k-markingsHelped
Add two markings (M_2) relative to 2-WLGNN with markings · Rook's 4x4 vs Shrikhande graphsdistinguishabilityHelped
Add 4-clique counting features (S_4) relative to 2-WLS_k GNN · graph pairs counting 4-cliquesdistinguishabilityHelped
Increase k for N_k (ego-network radius) in comparisons with S_kN_k vs S_k · theoreticaldistinguishabilityMixed

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