Papers › Predict then Propagate: Graph Neural Networks meet Personalized PageRank

Predict then Propagate: Graph Neural Networks meet Personalized PageRank

14 Oct 2018ICLR 2019 5arXiv:1810.05997archive 2025-07-28

Johannes Gasteiger, Aleksandar Bojchevski, Stephan Günnemann

Neural message passing algorithms for semi-supervised classification on graphs have recently achieved great success. However, for classifying a node these methods only consider nodes that are a few propagation steps away and the size of this utilized neighborhood is hard to extend. In this paper, we use the relationship between graph convolutional networks (GCN) and PageRank to derive an improved propagation scheme based on personalized PageRank. We utilize this propagation procedure to construct a simple model, personalized propagation of neural predictions (PPNP), and its fast approximation, APPNP. Our model's training time is on par or faster and its number of parameters on par or lower than previous models. It leverages a large, adjustable neighborhood for classification and can be easily combined with any neural network. We show that this model outperforms several recently proposed methods for semi-supervised classification in the most thorough study done so far for GCN-like models. Our implementation is available online.

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klicperajo/ppnp officialpytorchMIT report
benedekrozemberczki/APPNP mentioned on GitHubpytorchGPL-3.0 report
dmlc/dgl pytorch report
dmlc/dgl pytorch report
mahequn001/graphlearning mindsporeApache-2.0 report

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sparse_matrix_to_torch klicperajo/ppnp/ppnp/pytorch/utils.py official repository ran · our draft was wrong MIT (permissive) · 27f355e24ef27c9b · report
calc_A_hat klicperajo/ppnp/ppnp/pytorch/propagation.py official repository unverified MIT (permissive) · 0c74fb12dd5a5cd2 · report
calc_ppr_exact klicperajo/ppnp/ppnp/pytorch/propagation.py official repository unverified MIT (permissive) · ae9d20a1aa16d8a2 · report
exclude_idx klicperajo/ppnp/ppnp/preprocessing.py official repository unverified MIT (permissive) · 82bcc52c572684f5 · report
gen_seeds klicperajo/ppnp/ppnp/preprocessing.py official repository unverified MIT (permissive) · 95c286604696f55a · report
get_dataloaders klicperajo/ppnp/ppnp/pytorch/training.py official repository unverified MIT (permissive) · a75db933b77e116f · report
get_predictions klicperajo/ppnp/ppnp/pytorch/training.py official repository unverified MIT (permissive) · 2d5ded2424bde021 · report
known_unknown_split klicperajo/ppnp/ppnp/preprocessing.py official repository unverified MIT (permissive) · 7fd00eb2611bf53f · report
matrix_to_tensor klicperajo/ppnp/ppnp/tensorflow/utils.py official repository unverified MIT (permissive) · 781c9e24c325cc7a · report
matrix_to_torch klicperajo/ppnp/ppnp/pytorch/utils.py official repository unverified MIT (permissive) · 8b5f84fdbffe3b4f · report
sparse_dropout klicperajo/ppnp/ppnp/tensorflow/utils.py official repository unverified MIT (permissive) · 3b270c601a03ed8c · report
sparse_matrix_to_tensor klicperajo/ppnp/ppnp/tensorflow/utils.py official repository unverified MIT (permissive) · 0a9edb272963d594 · report

Tasks

General ClassificationNode ClassificationNode Classification on Non-Homophilic (Heterophilic) Graphs

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Node Classification Chameleon (60%/20%/20% random splits) APPNP 1:1 Accuracy 51.91 ± 0.56 #35 of 38 Archive leaderboard report
Node Classification CiteSeer (60%/20%/20% random splits) APPNP 1:1 Accuracy 68.59 ± 0.30 #30 of 33 Archive leaderboard report
Node Classification Citeseer PPNP Accuracy 75.83% #16 of 71 Archive leaderboard report
Node Classification Citeseer PPNP Validation YES #16 of 71 Archive leaderboard report
Node Classification Citeseer APPNP Accuracy 75.73% #19 of 71 Archive leaderboard report
Node Classification Cora PPNP Accuracy 85.29% ± 0.25% #25 of 73 Archive leaderboard report
Node Classification Cora PPNP Validation YES #25 of 73 Archive leaderboard report
Node Classification Cora APPNP Accuracy 85.09% ± 0.25% #27 of 73 Archive leaderboard report
Node Classification Cora APPNP Validation YES #27 of 73 Archive leaderboard report
Node Classification Cora (60%/20%/20% random splits) APPNP 1:1 Accuracy 79.41 ± 0.38 #30 of 33 Archive leaderboard report
Node Classification Cornell (60%/20%/20% random splits) APPNP 1:1 Accuracy 91.80 ± 0.63 #16 of 36 Archive leaderboard report
Node Classification Film (60%/20%/20% random splits) APPNP 1:1 Accuracy 38.86 ± 0.24 #22 of 37 Archive leaderboard report
Node Classification MS ACADEMIC APPNP Accuracy 93.27 ± 0.08 #1 of 3 Archive leaderboard report
Node Classification Penn94 APPNP Accuracy 74.33 ± 0.38 #26 of 32 Archive leaderboard report
Node Classification PubMed (60%/20%/20% random splits) APPNP 1:1 Accuracy 85.02 ± 0.09 #36 of 37 Archive leaderboard report
Node Classification Pubmed APPNP Accuracy 79.73 ± 0.31 #38 of 70 Archive leaderboard report
Node Classification Pubmed APPNP Validation YES #38 of 70 Archive leaderboard report
Node Classification Squirrel (60%/20%/20% random splits) APPNP 1:1 Accuracy 34.77 ± 0.34 #34 of 37 Archive leaderboard report
Node Classification Texas (60%/20%/20% random splits) APPNP 1:1 Accuracy 91.18 ± 0.70 #18 of 36 Archive leaderboard report
Node Classification Wisconsin (60%/20%/20% random splits) APPNP 1:1 Accuracy 92.00 ± 3.59 #17 of 35 Archive leaderboard report
Node Classification genius APPNP Accuracy 85.36 ± 0.62 #16 of 26 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs Chameleon(60%/20%/20% random splits) APPNP 1:1 Accuracy 51.91 ± 0.56 #29 of 32 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs Cornell (60%/20%/20% random splits) APPNP 1:1 Accuracy 91.80 ± 0.63 #16 of 33 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs Deezer-Europe APPNP 1:1 Accuracy 67.21±0.56 #6 of 28 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs Penn94 APPNP 1:1 Accuracy 74.33 ± 0.38 #22 of 28 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs Texas(60%/20%/20% random splits) APPNP 1:1 Accuracy 91.18 ± 0.70 #17 of 32 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs Wisconsin(60%/20%/20% random splits) APPNP 1:1 Accuracy 92.00 ± 3.59 #17 of 32 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs genius APPNP 1:1 Accuracy 85.36 ± 0.62 #18 of 26 Archive leaderboard report
Node Classification on Non-Homophilic (Heterophilic) Graphs twitch-gamers APPNP 1:1 Accuracy 60.97 ± 0.10 #22 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: APPNP

APPNPGraph Convolutional Networks

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