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Semi-relaxed Gromov-Wasserstein divergence and applications on graphs

ICLR 2022 · Graph learning › Graph algorithms and clustering · approach: Graph distance and retrieval · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Estimate the target graph node weights by relaxing its transport marginalsrGW graph partitioning · Wikipedia asymAMI: 46.43 -> 56.92Helped
Estimate the target graph node weights by relaxing its transport marginalsrGW graph partitioning · Amazon symAMI: 94.33 -> 48.28Hurt
Add entropic regularization (ablation)srGW partitioning · Wikipedia asymAMI: 56.92 -> 57.13No clear effect
Add entropic regularization (ablation)srGW partitioning · EU-email asymAMI: 49.94 -> 54.75Helped
Add sparsity-promoting regularization (ablation)srGW graph clustering · IMDB-BRand Index: 51.59(0.10) -> 52.44(0.46)Helped
Add sparsity-promoting regularization (ablation)srGW graph clustering · IMDB-MRand Index: 54.94(0.29) -> 56.70(0.34)Helped
Add entropic regularization (ablation)srGW graph clustering · MUTAGRand Index: 71.25(0.39) -> 74.41(0.84)Helped
Add entropic and sparsity-promoting regularization (ablation)srGW graph clustering · PTC-MRRand Index: 51.48(0.12) -> 52.53(0.47)Helped
Add entropic and sparsity-promoting regularization (ablation)srGW graph clustering · BZRRand Index: 62.60(0.96) -> 67.81(0.94)Helped
Add sparsity-promoting regularization (ablation)srGW graph clustering · COX2Rand Index: 60.12(0.27) -> 62.15(0.27)Helped
Add sparsity-promoting regularization (ablation)srGW graph clustering · ENZYMESRand Index: 71.68(0.12) -> 72.51(0.10)Helped
Add entropic and sparsity-promoting regularization (ablation)srGW graph clustering · PROTEINRand Index: 59.66(0.10) -> 60.81(0.43)Helped

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