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Mean-field theory of graph neural networks in graph partitioning

NeurIPS 2018 · Graph learning › GNN architectures · approach: Simple and scalable GNNs · 28 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a deep GNN instead of a shallower network (ablation)GNN trained by backpropagation · Symmetric SBM, c=8overlapHelped
Train model parameters by backpropagationGNN · Symmetric SBMoverlapHelped
Train model parameters by backpropagationGNN · Symmetric SBM, large-graph limitdetectability thresholdNo clear effect
Use φ(Xᵀ) rather than Xᵀ for k-means readout (ablation)Untrained GNN · Symmetric SBMoverlapHelped
Use φ(Xᵀ) rather than Xᵀ for k-means readout (ablation)Trained GNN · Symmetric SBMoverlapNo clear effect
Use ResNet skip connections and batch normalization (ablation)Deep GNN · Symmetric SBMparameter learningHelped

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