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Weighted Flow Diffusion for Local Graph Clustering with Node Attributes: an Algorithm and Statistical Guarantees

ICML 2023 · Graph learning › Graph algorithms and clustering · approach: Neural and local graph clustering · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Reweight graph edges using node-attribute similarityFlow diffusion · Co-authorship networks, 20 clusters (average)F1: 50.3 -> 54.6; +4.3Helped
Use node attributes rather than unweighted edges (ablation)Flow diffusion · Computer VisionF1: 37.6 -> 35.5; -2.1Hurt
Use node attributes rather than unweighted edges (ablation)Flow diffusion · Information TheoryF1: 47.4 -> 46.9; -0.5Hurt
Use node attributes rather than unweighted edges (ablation)Flow diffusion · RoboticsF1: 59.9 -> 59.9; 0.0No clear effect
Use node attributes rather than unweighted edges (ablation)Flow diffusion · Co-authorship networks, most clustersF1: 50.3 -> 54.6; +4.3 averageMixed
Use node attributes when their signal is weak (below the stated useful-signal threshold) (ablation)Flow diffusion · Synthetic SBMF1Hurt
Increase node-attribute signal strength (ablation)Weighted flow diffusion · Synthetic SBMF1Helped
Set sink capacities to node degrees rather than 1 (ablation)Weighted flow diffusion · Co-authorship networksF1Helped
Increase internal edge probability from 0.01 to 0.03 while keeping the attributes fixed (ablation)Weighted flow diffusion · Synthetic SBM with moderately strong attributesRecallHelped
Reduce attribute signal from 3 to 5/2 times the stated scale (ablation)Weighted flow diffusion · Synthetic SBM, p=0.01 and q=0.002RecallHurt

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