Papers › Diffusion-Convolutional Neural Networks

Diffusion-Convolutional Neural Networks

6 Nov 2015NeurIPS 2016 12arXiv:1511.02136archive 2025-07-28

James Atwood, Don Towsley

We present diffusion-convolutional neural networks (DCNNs), a new model for graph-structured data. Through the introduction of a diffusion-convolution operation, we show how diffusion-based representations can be learned from graph-structured data and used as an effective basis for node classification. DCNNs have several attractive qualities, including a latent representation for graphical data that is invariant under isomorphism, as well as polynomial-time prediction and learning that can be represented as tensor operations and efficiently implemented on the GPU. Through several experiments with real structured datasets, we demonstrate that DCNNs are able to outperform probabilistic relational models and kernel-on-graph methods at relational node classification tasks.

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A_to_diffusion_kernel jcatw/dcnn/python/util.py community (archive-listed) unverified MIT (permissive) · 1711c430088b79ae · report
A_to_post_sparse_diffusion_kernel jcatw/dcnn/python/util.py community (archive-listed) unverified MIT (permissive) · 79a73b625bd186c5 · report
sparse_A_to_diffusion_kernel jcatw/dcnn/python/util.py community (archive-listed) unverified MIT (permissive) · 36ed78ceb0342d1c · report

Tasks

ClassificationGeneral ClassificationNode Classification

1 archive task tag without a task page not shown.

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Node Classification CiteSeer (0.5%) DCNN Accuracy 53.1% #9 of 14 Archive leaderboard report
Node Classification CiteSeer (1%) DCNN Accuracy 62.2% #8 of 14 Archive leaderboard report
Node Classification CiteSeer with Public Split: fixed 20 nodes per class DCNN Accuracy 69.4% #34 of 40 Archive leaderboard report
Node Classification Cora (0.5%) DCNN Accuracy 59.0% #9 of 15 Archive leaderboard report
Node Classification Cora (1%) DCNN Accuracy 66.4% #9 of 15 Archive leaderboard report
Node Classification Cora (3%) DCNN Accuracy 76.7% #9 of 15 Archive leaderboard report
Node Classification Cora with Public Split: fixed 20 nodes per class DCNN Accuracy 79.7% #31 of 36 Archive leaderboard report
Node Classification PubMed (0.03%) DCNN Accuracy 60.9% #8 of 14 Archive leaderboard report
Node Classification PubMed (0.05%) DCNN Accuracy 66.7% #8 of 14 Archive leaderboard report
Node Classification PubMed (0.1%) DCNN Accuracy 73.1% #7 of 14 Archive leaderboard report
Node Classification PubMed with Public Split: fixed 20 nodes per class DCNN Accuracy 76.8% #29 of 37 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: DCNN

DCNN

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