Papers › Semi-Supervised Classification with Graph Convolutional Networks

Semi-Supervised Classification with Graph Convolutional Networks

9 Sep 2016arXiv:1609.02907archive 2025-07-28

Thomas N. Kipf, Max Welling

We present a scalable approach for semi-supervised learning on graph-structured data that is based on an efficient variant of convolutional neural networks which operate directly on graphs. We motivate the choice of our convolutional architecture via a localized first-order approximation of spectral graph convolutions. Our model scales linearly in the number of graph edges and learns hidden layer representations that encode both local graph structure and features of nodes. In a number of experiments on citation networks and on a knowledge graph dataset we demonstrate that our approach outperforms related methods by a significant margin.

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tkipf/pygcn officialmentioned on GitHubpytorchMIT report
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Tasks

Document ClassificationDrug DiscoveryGeneral ClassificationGraph ClassificationGraph RegressionHeterogeneous Node ClassificationMolecular Property PredictionNode ClassificationNode Classification on Non-Homophilic (Heterophilic) GraphsNode Property PredictionRecommendation SystemsSkeleton Based Action Recognition

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Graph Classification D&D GCN Accuracy 78.151±3.465 #30 of 53 Archive leaderboard report
Graph Classification ENZYMES GCN Accuracy 73.466±4.372 #7 of 54 Archive leaderboard report
Graph Classification IMDb-B GCN Accuracy 79.500±3.109 #9 of 51 Archive leaderboard report
Graph Classification NCI1 GCN Accuracy 84.185±0.644 #22 of 69 Archive leaderboard report
Graph Classification NCI109 GCN Accuracy 83.140±1.248 #13 of 38 Archive leaderboard report
Graph Classification PROTEINS GCN Accuracy 75.536±1.622 #64 of 103 Archive leaderboard report
Graph Property Prediction ogbg-code2 GCN+virtual node Ext. data No #13 of 21 Archive leaderboard report
Graph Property Prediction ogbg-code2 GCN+virtual node Number of params 12484310 #13 of 21 Archive leaderboard report
Graph Property Prediction ogbg-code2 GCN+virtual node Test F1 score 0.1595 ± 0.0018 #13 of 21 Archive leaderboard report
Graph Property Prediction ogbg-code2 GCN+virtual node Validation F1 score 0.1461 ± 0.0013 #13 of 21 Archive leaderboard report
Graph Property Prediction ogbg-code2 GCN Ext. data No #19 of 21 Archive leaderboard report
Graph Property Prediction ogbg-code2 GCN Number of params 11033210 #19 of 21 Archive leaderboard report
Graph Property Prediction ogbg-code2 GCN Test F1 score 0.1507 ± 0.0018 #19 of 21 Archive leaderboard report
Graph Property Prediction ogbg-code2 GCN Validation F1 score 0.1399 ± 0.0017 #19 of 21 Archive leaderboard report
Graph Property Prediction ogbg-molhiv GCN Ext. data No #40 of 43 Archive leaderboard report
Graph Property Prediction ogbg-molhiv GCN Number of params 527701 #40 of 43 Archive leaderboard report
Graph Property Prediction ogbg-molhiv GCN Test ROC-AUC 0.7606 ± 0.0097 #40 of 43 Archive leaderboard report
Graph Property Prediction ogbg-molhiv GCN Validation ROC-AUC 0.8204 ± 0.0141 #40 of 43 Archive leaderboard report
Graph Property Prediction ogbg-molhiv GCN+virtual node Ext. data No #41 of 43 Archive leaderboard report
Graph Property Prediction ogbg-molhiv GCN+virtual node Number of params 1978801 #41 of 43 Archive leaderboard report
Graph Property Prediction ogbg-molhiv GCN+virtual node Test ROC-AUC 0.7599 ± 0.0119 #41 of 43 Archive leaderboard report
Graph Property Prediction ogbg-molhiv GCN+virtual node Validation ROC-AUC 0.8384 ± 0.0091 #41 of 43 Archive leaderboard report
Graph Property Prediction ogbg-molhiv GCN (in Julia) Ext. data No #43 of 43 Archive leaderboard report
Graph Property Prediction ogbg-molhiv GCN (in Julia) Number of params 527701 #43 of 43 Archive leaderboard report
Graph Property Prediction ogbg-molhiv GCN (in Julia) Test ROC-AUC 0.7549 ± 0.0163 #43 of 43 Archive leaderboard report
Graph Property Prediction ogbg-molhiv GCN (in Julia) Validation ROC-AUC 0.8042 ± 0.0107 #43 of 43 Archive leaderboard report
Graph Property Prediction ogbg-molpcba GCN+virtual node Ext. data No #30 of 36 Archive leaderboard report
Graph Property Prediction ogbg-molpcba GCN+virtual node Number of params 2017028 #30 of 36 Archive leaderboard report
Graph Property Prediction ogbg-molpcba GCN+virtual node Test AP 0.2424 ± 0.0034 #30 of 36 Archive leaderboard report
Graph Property Prediction ogbg-molpcba GCN+virtual node Validation AP 0.2495 ± 0.0042 #30 of 36 Archive leaderboard report
Graph Property Prediction ogbg-molpcba GCN Ext. data No #36 of 36 Archive leaderboard report
Graph Property Prediction ogbg-molpcba GCN Number of params 565928 #36 of 36 Archive leaderboard report
Graph Property Prediction ogbg-molpcba GCN Test AP 0.2020 ± 0.0024 #36 of 36 Archive leaderboard report
Graph Property Prediction ogbg-molpcba GCN Validation AP 0.2059 ± 0.0033 #36 of 36 Archive leaderboard report
Graph Property Prediction ogbg-ppa GCN+virtual node Ext. data No #17 of 18 Archive leaderboard report
Graph Property Prediction ogbg-ppa GCN+virtual node Number of params 1930537 #17 of 18 Archive leaderboard report
Graph Property Prediction ogbg-ppa GCN+virtual node Test Accuracy 0.6857 ± 0.0061 #17 of 18 Archive leaderboard report
Graph Property Prediction ogbg-ppa GCN+virtual node Validation Accuracy 0.6511 ± 0.0048 #17 of 18 Archive leaderboard report
Graph Property Prediction ogbg-ppa GCN Ext. data No #18 of 18 Archive leaderboard report
Graph Property Prediction ogbg-ppa GCN Number of params 479437 #18 of 18 Archive leaderboard report
Graph Property Prediction ogbg-ppa GCN Test Accuracy 0.6839 ± 0.0084 #18 of 18 Archive leaderboard report
Graph Property Prediction ogbg-ppa GCN Validation Accuracy 0.6497 ± 0.0034 #18 of 18 Archive leaderboard report
Graph Regression ESR2 GCN R2 0.642±0.000 #7 of 9 Archive leaderboard report
Graph Regression ESR2 GCN RMSE 0.528±0.642 #7 of 9 Archive leaderboard report
Graph Regression F2 GCN R2 0.878±0.000 #7 of 9 Archive leaderboard report
Graph Regression F2 GCN RMSE 0.355±0.878 #7 of 9 Archive leaderboard report
Graph Regression KIT GCN R2 0.814±0.000 #7 of 9 Archive leaderboard report
Graph Regression KIT GCN RMSE 0.469±0.814 #7 of 9 Archive leaderboard report
Graph Regression Lipophilicity GCN R2 0.800±0.008 #7 of 23 Archive leaderboard report
Graph Regression Lipophilicity GCN RMSE 0.565±0.011 #7 of 23 Archive leaderboard report
Graph Regression PARP1 GCN R2 0.912±0.000 #7 of 9 Archive leaderboard report
Graph Regression PARP1 GCN RMSE 0.372±0.912 #7 of 9 Archive leaderboard report
Graph Regression PCQM4Mv2-LSC GCN Test MAE 0.1398 #19 of 20 Archive leaderboard report
Graph Regression PCQM4Mv2-LSC GCN Validation MAE 0.1379 #19 of 20 Archive leaderboard report
Graph Regression PGR GCN R2 0.658±0.000 #8 of 9 Archive leaderboard report
Graph Regression PGR GCN RMSE 0.565±0.658 #8 of 9 Archive leaderboard report
Graph Regression ZINC-full GCN Test MAE 0.152±0.023 #19 of 19 Archive leaderboard report
Heterogeneous Node Classification ACM (Heterogeneous Node Classification) GCN Macro-F1 92.17 #5 of 11 Archive leaderboard report
Heterogeneous Node Classification ACM (Heterogeneous Node Classification) GCN Micro-F1 92.12 #5 of 11 Archive leaderboard report
Heterogeneous Node Classification DBLP (Heterogeneous Node Classification) GCN Macro-F1 90.84 #8 of 11 Archive leaderboard report
Heterogeneous Node Classification DBLP (Heterogeneous Node Classification) GCN Micro-F1 91.47 #8 of 11 Archive leaderboard report
Heterogeneous Node Classification Freebase (Heterogeneous Node Classification) GCN Macro-F1 27.84 #7 of 9 Archive leaderboard report
Heterogeneous Node Classification Freebase (Heterogeneous Node Classification) GCN Micro-F1 60.23 #7 of 9 Archive leaderboard report
Heterogeneous Node Classification IMDB (Heterogeneous Node Classification) GCN Macro-F1 57.88 #8 of 11 Archive leaderboard report
Heterogeneous Node Classification IMDB (Heterogeneous Node Classification) GCN Micro-F1 64.82 #8 of 11 Archive leaderboard report
Link Property Prediction ogbl-citation2 Full-batch GCN Ext. data No #14 of 23 Archive leaderboard report
Link Property Prediction ogbl-citation2 Full-batch GCN Number of params 296449 #14 of 23 Archive leaderboard report
Link Property Prediction ogbl-citation2 Full-batch GCN Test MRR 0.8474 ± 0.0021 #14 of 23 Archive leaderboard report
Link Property Prediction ogbl-citation2 Full-batch GCN Validation MRR 0.8479 ± 0.0023 #14 of 23 Archive leaderboard report
Link Property Prediction ogbl-collab GCN (val as input) Ext. data No #28 of 34 Archive leaderboard report
Link Property Prediction ogbl-collab GCN (val as input) Number of params 296449 #28 of 34 Archive leaderboard report
Link Property Prediction ogbl-collab GCN (val as input) Test Hits@50 0.4714 ± 0.0145 #28 of 34 Archive leaderboard report
Link Property Prediction ogbl-collab GCN (val as input) Validation Hits@50 0.5263 ± 0.0115 #28 of 34 Archive leaderboard report
Link Property Prediction ogbl-collab GCN Ext. data No #30 of 34 Archive leaderboard report
Link Property Prediction ogbl-collab GCN Number of params 296449 #30 of 34 Archive leaderboard report
Link Property Prediction ogbl-collab GCN Test Hits@50 0.4475 ± 0.0107 #30 of 34 Archive leaderboard report
Link Property Prediction ogbl-collab GCN Validation Hits@50 0.5263 ± 0.0115 #30 of 34 Archive leaderboard report
Link Property Prediction ogbl-ddi GCN+JKNet Ext. data No #21 of 31 Archive leaderboard report
Link Property Prediction ogbl-ddi GCN+JKNet Number of params 1421571 #21 of 31 Archive leaderboard report
Link Property Prediction ogbl-ddi GCN+JKNet Test Hits@20 0.6056 ± 0.0869 #21 of 31 Archive leaderboard report
Link Property Prediction ogbl-ddi GCN+JKNet Validation Hits@20 0.6776 ± 0.0095 #21 of 31 Archive leaderboard report
Link Property Prediction ogbl-ddi GCN Ext. data No #25 of 31 Archive leaderboard report
Link Property Prediction ogbl-ddi GCN Number of params 1289985 #25 of 31 Archive leaderboard report
Link Property Prediction ogbl-ddi GCN Test Hits@20 0.3707 ± 0.0507 #25 of 31 Archive leaderboard report
Link Property Prediction ogbl-ddi GCN Validation Hits@20 0.5550 ± 0.0208 #25 of 31 Archive leaderboard report
Link Property Prediction ogbl-ppa GCN Ext. data No #25 of 26 Archive leaderboard report
Link Property Prediction ogbl-ppa GCN Number of params 278529 #25 of 26 Archive leaderboard report
Link Property Prediction ogbl-ppa GCN Test Hits@100 0.1867 ± 0.0132 #25 of 26 Archive leaderboard report
Link Property Prediction ogbl-ppa GCN Validation Hits@100 0.1845 ± 0.0140 #25 of 26 Archive leaderboard report
Molecular Property Prediction ESOL GCN R2 0.936±0.006 #4 of 20 Archive leaderboard report
Molecular Property Prediction ESOL GCN RMSE 0.520±0.024 #4 of 20 Archive leaderboard report
Molecular Property Prediction FreeSolv GCN R2 0.957±0.009 #6 of 22 Archive leaderboard report
Molecular Property Prediction FreeSolv GCN RMSE 0.815±0.086 #6 of 22 Archive leaderboard report
Node Classification Brazil Air-Traffic GCN_cheby (Kipf and Welling, 2017) Accuracy 0.516 #3 of 7 Archive leaderboard report
Node Classification Chameleon (60%/20%/20% random splits) GCN 1:1 Accuracy 64.18 ± 2.62 #20 of 38 Archive leaderboard report
Node Classification CiteSeer (60%/20%/20% random splits) GCN 1:1 Accuracy 81.39 ± 1.23 #16 of 33 Archive leaderboard report
Node Classification Citeseer GCN Accuracy 70.3 #58 of 71 Archive leaderboard report
Node Classification Cora GCN Accuracy 81.5% #61 of 73 Archive leaderboard report
Node Classification Cora (60%/20%/20% random splits) GCN 1:1 Accuracy 87.78 ± 0.96 #20 of 33 Archive leaderboard report
Node Classification Cornell (60%/20%/20% random splits) GCN 1:1 Accuracy 82.46 ± 3.11 #25 of 36 Archive leaderboard report
Node Classification Europe Air-Traffic GCN_cheby (Kipf and Welling, 2017) Accuracy 46.0 #2 of 7 Archive leaderboard report
Node Classification Europe Air-Traffic GCN (Kipf and Welling, 2017) Accuracy 37.1 #6 of 7 Archive leaderboard report
Node Classification Facebook GCN_cheby (Kipf and Welling, 2017) Accuracy 64.6 #5 of 8 Archive leaderboard report
Node Classification Facebook GCN (Kipf and Welling, 2017) Accuracy 57.5 #7 of 8 Archive leaderboard report
Node Classification Film (60%/20%/20% random splits) GCN 1:1 Accuracy 35.51 ± 0.99 #30 of 37 Archive leaderboard report
Node Classification Flickr GCN (Kipf and Welling, 2017) Accuracy 0.546 #6 of 8 Archive leaderboard report
Node Classification Flickr GCN_cheby (Kipf and Welling, 2017) Accuracy 0.479 #7 of 8 Archive leaderboard report
Node Classification NELL GCN Accuracy 66.0 #2 of 4 Archive leaderboard report
Node Classification Penn94 GCN Accuracy 82.47 ± 0.27 #15 of 32 Archive leaderboard report
Node Classification PubMed (60%/20%/20% random splits) GCN 1:1 Accuracy 88.9 ± 0.32 #24 of 37 Archive leaderboard report
Node Classification Pubmed GCN Accuracy 79.0 #54 of 70 Archive leaderboard report
Node Classification Squirrel (60%/20%/20% random splits) GCN 1:1 Accuracy 44.76 ± 1.39 #23 of 37 Archive leaderboard report
Node Classification Texas (60%/20%/20% random splits) GCN 1:1 Accuracy 83.11 ± 3.2 #24 of 36 Archive leaderboard report
Node Classification Wiki-Vote GCN_cheby (Kipf and Welling, 2017) Accuracy 49.5 #3 of 6 Archive leaderboard report
Node Classification Wiki-Vote GCN (Kipf and Welling, 2017) Accuracy 32.9 #5 of 6 Archive leaderboard report
Node Classification Wisconsin (60%/20%/20% random splits) GCN 1:1 Accuracy 75.5 ± 2.92 #26 of 35 Archive leaderboard report
Node Classification genius GCN Accuracy 87.42 ± 0.37 #14 of 26 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs Chameleon(60%/20%/20% random splits) GCN 1:1 Accuracy 64.18 ± 2.62 #17 of 32 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs Cornell (60%/20%/20% random splits) GCN 1:1 Accuracy 82.46 ± 3.11 #25 of 33 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs Deezer-Europe GCN 1:1 Accuracy 62.23±0.53 #21 of 28 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs Penn94 GCN 1:1 Accuracy 82.47 ± 0.27 #11 of 28 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs Texas(60%/20%/20% random splits) GCN 1:1 Accuracy 83.11 ± 3.2 #22 of 32 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs Wisconsin(60%/20%/20% random splits) GCN 1:1 Accuracy 75.5 ± 2.92 #23 of 32 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs genius GCN 1:1 Accuracy 87.42 ± 0.37 #16 of 26 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs twitch-gamers GCN 1:1 Accuracy 62.18 ± 0.26 #20 of 26 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN+residual+6 layers Ext. data No #54 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN+residual+6 layers Number of params 122542 #54 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN+residual+6 layers Test Accuracy 0.7286 ± 0.0016 #54 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN+residual+6 layers Validation Accuracy 0.7382 ± 0.0007 #54 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN+residual+node2vec Ext. data No #55 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN+residual+node2vec Number of params 21885098 #55 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN+residual+node2vec Test Accuracy 0.7278 ± 0.0013 #55 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN+residual+node2vec Validation Accuracy 0.7414 ± 0.0008 #55 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN_res + 8 layers Ext. data No #59 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN_res + 8 layers Number of params 155824 #59 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN_res + 8 layers Test Accuracy 0.7262 ± 0.0037 #59 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN_res + 8 layers Validation Accuracy 0.7369 ± 0.0021 #59 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN Ext. data No #76 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN Number of params 110120 #76 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN Test Accuracy 0.7174 ± 0.0029 #76 of 86 Archive leaderboard report
Node Property Prediction ogbn-arxiv GCN Validation Accuracy 0.7300 ± 0.0017 #76 of 86 Archive leaderboard report
Node Property Prediction ogbn-products Full-batch GCN Ext. data No #57 of 64 Archive leaderboard report
Node Property Prediction ogbn-products Full-batch GCN Number of params 103727 #57 of 64 Archive leaderboard report
Node Property Prediction ogbn-products Full-batch GCN Test Accuracy 0.7564 ± 0.0021 #57 of 64 Archive leaderboard report
Node Property Prediction ogbn-products Full-batch GCN Validation Accuracy 0.9200 ± 0.0003 #57 of 64 Archive leaderboard report
Node Property Prediction ogbn-proteins GCN Ext. data No #24 of 26 Archive leaderboard report
Node Property Prediction ogbn-proteins GCN Number of params 96880 #24 of 26 Archive leaderboard report
Node Property Prediction ogbn-proteins GCN Test ROC-AUC 0.7251 ± 0.0035 #24 of 26 Archive leaderboard report
Node Property Prediction ogbn-proteins GCN Validation ROC-AUC 0.7921 ± 0.0018 #24 of 26 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

Methods

Introduced by this paper: GCN

GCNGraph Convolutional Networks

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