Papers › Graph WaveNet for Deep Spatial-Temporal Graph Modeling

Graph WaveNet for Deep Spatial-Temporal Graph Modeling

31 May 2019arXiv:1906.00121archive 2025-07-28

Zonghan Wu, Shirui Pan, Guodong Long, Jing Jiang, Chengqi Zhang

Spatial-temporal graph modeling is an important task to analyze the spatial relations and temporal trends of components in a system. Existing approaches mostly capture the spatial dependency on a fixed graph structure, assuming that the underlying relation between entities is pre-determined. However, the explicit graph structure (relation) does not necessarily reflect the true dependency and genuine relation may be missing due to the incomplete connections in the data. Furthermore, existing methods are ineffective to capture the temporal trends as the RNNs or CNNs employed in these methods cannot capture long-range temporal sequences. To overcome these limitations, we propose in this paper a novel graph neural network architecture, Graph WaveNet, for spatial-temporal graph modeling. By developing a novel adaptive dependency matrix and learn it through node embedding, our model can precisely capture the hidden spatial dependency in the data. With a stacked dilated 1D convolution component whose receptive field grows exponentially as the number of layers increases, Graph WaveNet is able to handle very long sequences. These two components are integrated seamlessly in a unified framework and the whole framework is learned in an end-to-end manner. Experimental results on two public traffic network datasets, METR-LA and PEMS-BAY, demonstrate the superior performance of our algorithm.

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nnzhan/Graph-WaveNet officialmentioned in papermentioned on GitHubpytorch report
E666GT/TrafficPredictionNN mentioned on GitHubpytorchMIT report
JiahuiSun/Exp-Graph-WaveNet mentioned on GitHubpytorch report
josegg05/eRGWnet mentioned on GitHubpytorchMIT report
razvanc92/enhancenet mentioned on GitHubpytorch report
simonvino/graphwavenet_brain_connectivity mentioned on GitHubpytorchMIT report
sshleifer/Graph-WaveNet mentioned on GitHubpytorch report
zachysun/taxi_traffic_benchmark mentioned on GitHubpytorch report

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2ran · violated contract
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asym_adj sshleifer/Graph-WaveNet/util.py community (archive-listed) ran · violated contract MIT (permissive) · 901bedf723a6f00d · report
calculate_normalized_laplacian sshleifer/Graph-WaveNet/util.py community (archive-listed) ran · our draft was wrong MIT (permissive) · e7b2e6a60daa42ca · report
generate_train_val_test simonvino/graphwavenet_brain_connectivity/generate_samples.py community (archive-listed) ran · our draft was wrong MIT (permissive) · c6093e02db929cdb · report
seq_gen JiahuiSun/Exp-Graph-WaveNet/generate_training_data.py community (archive-listed) ran · our draft was wrong fingerprinted MIT (permissive) · 3028268c1774ed96 · report
sym_adj sshleifer/Graph-WaveNet/util.py community (archive-listed) ran · violated contract MIT (permissive) · 9a7928795f74526c · report
generate_graph_seq2seq_io_data JiahuiSun/Exp-Graph-WaveNet/generate_training_data.py community (archive-listed) unverified MIT (permissive) · fc148af599e95656 · report
generate_graph_seq2seq_io_data simonvino/graphwavenet_brain_connectivity/old_stuff/generate_training_data.py community (archive-listed) unverified MIT (permissive) · 1175f39f2d567546 · report

Tasks

Graph Neural NetworkTemporal SequencesTraffic Prediction

1 archive task tag without a task page not shown.

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Traffic Prediction EXPY-TKY GWNet 1 step MAE 5.91 #4 of 8 Archive leaderboard report
Traffic Prediction EXPY-TKY GWNet 3 step MAE 6.59 #4 of 8 Archive leaderboard report
Traffic Prediction EXPY-TKY GWNet 6 step MAE 6.89 #4 of 8 Archive leaderboard report
Traffic Prediction LargeST GWNET CA MAE 21.72 #2 of 6 Archive leaderboard report
Traffic Prediction LargeST GWNET GBA MAE 20.91 #2 of 6 Archive leaderboard report
Traffic Prediction LargeST GWNET GLA MAE 21.20 #2 of 6 Archive leaderboard report
Traffic Prediction LargeST GWNET SD MAE 17.74 #2 of 6 Archive leaderboard report
Traffic Prediction METR-LA Graph WaveNet MAE @ 12 step 3.53 #17 of 20 Archive leaderboard report
Traffic Prediction METR-LA Graph WaveNet MAE @ 3 step 2.69 #17 of 20 Archive leaderboard report
Traffic Prediction NE-BJ Graph WaveNet 12 steps MAE 4.99 #5 of 6 Archive leaderboard report
Traffic Prediction PEMS-BAY Graph Wave-Net MAE @ 12 step 1.95 #13 of 16 Archive leaderboard report
Traffic Prediction PEMS-BAY Graph Wave-Net RMSE 4.52 #13 of 16 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

ConvolutionDilated Causal ConvolutionGraph Neural NetworkMixture of Logistic DistributionsWaveNet

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