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$p$-Laplacian Based Graph Neural Networks

ICML 2022 · Graph learning › GNN architectures · approach: Oversmoothing and heterophily · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use ¹.⁰GNN instead of the strongest listed baselineNode classification · Chameleonaccuracy (%): 48.02 -> 48.86No clear effect
Use ¹.⁰GNN instead of the strongest listed baselineNode classification · Squirrelaccuracy (%): 33.80 -> 33.75No clear effect
Use ¹.⁰GNN instead of the strongest listed baselineNode classification · Actoraccuracy (%): 39.68 -> 40.62Helped
Use ¹.⁰GNN instead of the strongest listed baselineNode classification · Wisconsinaccuracy (%): 93.56 -> 95.37No clear effect
Use ².⁰GNN instead of APPNPNode classification · Texasaccuracy (%): 82.90 -> 87.96Helped
Use ¹.⁰GNN instead of the strongest listed baselineNode classification · Cornellaccuracy (%): 80.30 -> 82.16No clear effect
Use ².⁰GNN rather than ¹.⁰GNN on heterophilic cSBM settings with φ ≤ -0.5pGNN · cSBM, sparse splitaccuracyHelped
Use ¹.⁵GNN on weakly homophilic cSBM settingspGNN · cSBM, φ = 0.25, 0.5accuracyHelped
Use pGNN instead of other GNN baselines on cSBM with nearly non-informative topologyNode classification · cSBM, φ = -0.25, 0accuracyHelped
Use ¹.⁵GNN rather than other methods on Computers with completely random edgesNode classification · Computers, r = 1accuracyNo clear effect
Use pGNN instead of ordinary GNN baselines as random-edge rate increasesNode classification · Graphs with noisy edgesaccuracyHelped

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