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A Fractional Graph Laplacian Approach to Oversmoothing

NeurIPS 2023 · Graph learning › GNN architectures · approach: Oversmoothing and heterophily · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use FLODE instead of strongest cited baselinebaseline GNN · Squirrel (undirected)test accuracy: 59.22 -> 64.23Helped
Use FLODE instead of strongest cited baselinebaseline GNN · Chameleon (undirected)test accuracy: 71.38 -> 73.60Helped
Use FLODE instead of strongest cited baselinebaseline GNN · Citeseertest accuracy: 78.02 -> 78.07No clear effect
Use FLODE instead of strongest cited baselinebaseline GNN · Coratest accuracy: 88.57 -> 86.44Hurt
Use FLODE instead of strongest cited baselinebaseline GNN · Pubmedtest accuracy: 90.23 -> 89.02Hurt
Use FLODE instead of strongest cited baselinebaseline GNN · Squirrel (directed)test accuracy: 74.17 -> 74.03No clear effect
Use FLODE instead of strongest cited baselinebaseline GNN · TolokersAUROC: 83.78 -> 84.17Helped
Use FLODE instead of strongest cited baselinebaseline GNN · Roman-empireaccuracy: 88.75 -> 74.97Hurt
Use FLODE instead of strongest cited baselinebaseline GNN · DSBM alpha*=0.05accuracy: 94.1 -> 97.5Helped
Use FLODE instead of MLPMLP · Squirreltest accuracy: 28.77 -> 64.23Helped
Learnable fractional exponent alone instead of ODE framework with fixed alpha=1 (ablation)FLODE · node classificationtest accuracyHelped
Remove learnable exponent, Schrodinger ODE or SNA directionality (ablation)FLODE · Chameleontest accuracyHelped

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