Papers › Graphite: Iterative Generative Modeling of Graphs

Graphite: Iterative Generative Modeling of Graphs

28 Mar 2018arXiv:1803.10459archive 2025-07-28

Aditya Grover, Aaron Zweig, Stefano Ermon

Graphs are a fundamental abstraction for modeling relational data. However, graphs are discrete and combinatorial in nature, and learning representations suitable for machine learning tasks poses statistical and computational challenges. In this work, we propose Graphite, an algorithmic framework for unsupervised learning of representations over nodes in large graphs using deep latent variable generative models. Our model parameterizes variational autoencoders (VAE) with graph neural networks, and uses a novel iterative graph refinement strategy inspired by low-rank approximations for decoding. On a wide variety of synthetic and benchmark datasets, Graphite outperforms competing approaches for the tasks of density estimation, link prediction, and node classification. Finally, we derive a theoretical connection between message passing in graph neural networks and mean-field variational inference.

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ermongroup/graphite mentioned on GitHubtf report

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Tasks

Density EstimationGeneral ClassificationLink PredictionNode ClassificationVariational Inference

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Link Prediction Citeseer sGraphite-VAE AP 95.4% #8 of 13 Archive leaderboard report
Link Prediction Citeseer sGraphite-VAE AUC 94.1% #8 of 13 Archive leaderboard report
Node Classification Citeseer Graphite Accuracy 71.0 ± 0.07 #57 of 71 Archive leaderboard report
Node Classification Cora Graphite Accuracy 82.1% ± 0.06% #57 of 73 Archive leaderboard report
Node Classification Pubmed Graphite Accuracy 79.3 ± 0.03 #48 of 70 Archive leaderboard report

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