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Graph Classification and Clustering on ER, RP, SBM, RG Distributions

90.4AccuracyDiversity Curves Shortest Path
40.16853.20966.2579.291May 7, 2026

Evaluation results

MethodLinks
Diversity Curves Shortest PathMetric Space=Shortest Path2026.0590.40.4230.753191.23749.531.3
NetLSDRepresentation=Vectorial, Metric Space=Euclidean2026.05900.0551.33238.799159.2
Kernel WL Optimal AssignmentType=Graph Kernel2026.05900.019———25.9
Diversity Curves Shortest Path PCAMetric Space=Shortest Path, Dimensionality Reduction=PCA2026.0589.20.4320.737194.0645032.3
Kernel Core FrameworkType=Graph Kernel2026.0584.20.249———44.6
Spread Function Shortest PathMetric Space=Shortest Path2026.0582.90.0333.94912.5179.79.5
Kernel Core Framework MDSType=Graph Kernel, Dimensionality Reduction=MDS2026.0582.10.2661.41491.39245.947.2
Kernel WL Optimal Assignment MDSType=Graph Kernel, Dimensionality Reduction=MDS2026.0579.60.0453.49113.62418.520.2
PH Vietoris RipsFiltration=Vietoris Rips, Representation=Persistent Images2026.0578.3-0.012.22716.1568.55.3
PH LaplacianFiltration=Laplacian, Representation=Persistent Images2026.0578.3-0.1322.66811.7015.53.4
Kernel WL MDSType=Graph Kernel, Dimensionality Reduction=MDS2026.0577.90.2392.53121.0942.927.3
Kernel Shortest PathType=Graph Kernel2026.0577.10.284———42.6
Kernel Shortest Path MDSType=Graph Kernel, Dimensionality Reduction=MDS2026.0576.70.2741.59757.10544.442.3
TopER DegreeFiltration=Degree2026.0575.8-0.0645.28831.1918.98.9
FEATHERRepresentation=Vectorial, Metric Space=Euclidean2026.05750.1081.91474.71929.327.7
Kernel WLType=Graph Kernel2026.0574.60.213———3.1
TopER ClosenessFiltration=Closeness2026.0574.6-0.0938.44525.4828.47.6
PH Alpha ComplexFiltration=Alpha Complex, Representation=Persistent Images2026.0574.20.0141.99243.71520.216
PH FricciFiltration=Fricci, Representation=Persistent Images2026.0574.2-0.0992.49830.87494.3
PH DegreeFiltration=Degree, Representation=Persistent Images2026.0572.5-0.163.0168.5841.8
Spectral ZooRepresentation=Vectorial, Metric Space=Euclidean2026.0572.10.052.87533.79425.714
TopER All FiltrationsFiltration=Combined2026.0570-0.0553.25527.53410.17.3
TopER PopularityFiltration=Popularity2026.0569.6-0.0221.34429.66711.36.2
PH OlricciFiltration=Olricci, Representation=Persistent Images2026.0569.6-0.1252.94534.1619.26
Kernel Pyramid MatchType=Graph Kernel2026.0567.10.002———1.7
TopER ForricciFiltration=Forricci2026.0564.6-0.0672.9531.4511.211.2
TopER OlricciFiltration=Olricci2026.0559.2-0.09910.213.4685.94.3
Kernel Pyramid Match MDSType=Graph Kernel, Dimensionality Reduction=MDS2026.0558.8-0.0097.6577.2426.54.5
Graph2VecRepresentation=Vectorial, Metric Space=Euclidean2026.0550.4-0.0057.3651.4052.30.2
Kernel Neighbourhood HashType=Graph Kernel2026.0550-0.032———0.2
Kernel Neighbourhood Hash MDSType=Graph Kernel, Dimensionality Reduction=MDS2026.0542.1-0.06620.290.683-0.7-0.3