Neural Sheaf Diffusion: A Topological Perspective on Heterophily and Oversmoothing in GNNs

Benchmark Model Rank Results
node-classification-on-actorO(d)-NSD#8Accuracy: 37.81 ± 1.15
node-classification-on-actorGen-NSD#9Accuracy: 37.80 ± 1.22
node-classification-on-actorDiag-NSD#10Accuracy: 37.79 ± 1.01
node-classification-on-chameleonDiag-NSD#25Accuracy: 68.68 ± 1.73
node-classification-on-chameleonO(d)-NSD#29Accuracy: 68.04 ± 1.58
node-classification-on-chameleonGen-NSD#30Accuracy: 67.93 ± 1.58
node-classification-on-citeseer-48-32-20Diag-NSD#101:1 Accuracy: 77.14 ± 1.85
node-classification-on-citeseer-48-32-20O(d)-NSD#171:1 Accuracy: 76.70 ± 1.57
node-classification-on-citeseer-48-32-20Gen-NSD#191:1 Accuracy: 76.32 ± 1.65
node-classification-on-cora-48-32-20-fixedGen-NSD#181:1 Accuracy: 87.30 ± 1.15
node-classification-on-cora-48-32-20-fixedDiag-NSD#191:1 Accuracy: 87.14 ± 1.06
node-classification-on-cora-48-32-20-fixedO(d)-NSD#201:1 Accuracy: 86.90 ± 1.13
node-classification-on-cornellDiag-NSD#6Accuracy: 86.49 ± 7.35
node-classification-on-cornellGen-NSD#14Accuracy: 85.68 ± 6.51
node-classification-on-cornellO(d)-NSD#22Accuracy: 84.86 ± 4.71
node-classification-on-non-homophilic-10O(d)-NSD#21:1 Accuracy: 37.81 ± 1.15
node-classification-on-non-homophilic-10Gen-NSD#31:1 Accuracy: 37.80 ± 1.22
node-classification-on-non-homophilic-10Diag-NSD#41:1 Accuracy: 37.79 ± 1.01
node-classification-on-non-homophilic-11Diag-NSD#141:1 Accuracy: 68.68 ± 1.73
node-classification-on-non-homophilic-11O(d)-NSD#171:1 Accuracy: 68.04 ± 1.58
node-classification-on-non-homophilic-11Gen-NSD#181:1 Accuracy: 67.93 ± 1.58
node-classification-on-non-homophilic-12O(d)-NSD#141:1 Accuracy: 56.34 ± 1.32
node-classification-on-non-homophilic-12Diag-NSD#171:1 Accuracy: 54.78 ± 1.81
node-classification-on-non-homophilic-12Gen-NSD#181:1 Accuracy: 53.17 ± 1.31
node-classification-on-non-homophilic-7Diag-NSD#11:1 Accuracy: 86.49 ± 7.35
node-classification-on-non-homophilic-7Gen-NSD#71:1 Accuracy: 85.68 ± 6.51
node-classification-on-non-homophilic-7O(d) - NSD#131:1 Accuracy: 84.86 ± 4.71
node-classification-on-non-homophilic-8O(d)-NSD#11:1 Accuracy: 89.41 ± 4.74
node-classification-on-non-homophilic-8Gen-NSD#21:1 Accuracy: 89.21 ± 3.84
node-classification-on-non-homophilic-8Diag-NSD#31:1 Accuracy: 88.63 ± 2.75
node-classification-on-non-homophilic-9O(d)-NSD#71:1 Accuracy: 85.95 ± 5.51
node-classification-on-non-homophilic-9Diag-NSD#81:1 Accuracy: 85.67 ± 6.95
node-classification-on-non-homophilic-9Gen-NSD#161:1 Accuracy: 82.97 ± 5.13
node-classification-on-pubmed-48-32-20-fixedO(d)-NSD#101:1 Accuracy: 89.49 ± 0.40
node-classification-on-pubmed-48-32-20-fixedDiag-NSD#111:1 Accuracy: 89.42 ± 0.43
node-classification-on-pubmed-48-32-20-fixedGen-NSD#121:1 Accuracy: 89.33 ± 0.35
node-classification-on-squirrelO(d)-NSD#22Accuracy: 56.34 ± 1.32
node-classification-on-squirrelDiag-NSD#26Accuracy: 54.78 ± 1.81
node-classification-on-squirrelGen-NSD#28Accuracy: 53.17 ± 1.31
node-classification-on-texasO(d)-NSD#18Accuracy: 85.95 ± 5.51
node-classification-on-texasDiag-NSD#19Accuracy: 85.67 ± 6.95
node-classification-on-texasGen-NSD#32Accuracy: 82.97 ± 5.13
node-classification-on-wisconsinO(d)-NSD#3Accuracy: 89.41 ± 4.74
node-classification-on-wisconsinGen-NSD#4Accuracy: 89.21 ± 3.84
node-classification-on-wisconsinDiag-NSD#8Accuracy: 88.63 ± 2.75