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NetGAN without GAN: From Random Walks to Low-Rank Approximations

ICML 2020 · Graph learning › GNN architectures · approach: Theory of graph convolutional networks · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace GAN+LSTM with low-rank approximation of logit transition matrix trained by cross-entropy (CELL)NetGAN · CORA-MLROC-AUC score: 0.950 vs 0.938No clear effect
Replace GAN+sampling with CELL (low-rank logits, CE loss, no sampling)NetGAN · CORA-MLTraining time (s): 7,478 s to 21 sHelped
Use Frobenius-norm low-rank approximation of transition matrix instead of cross-entropy loss (ablation)low-rank approximation of transition matrix · CORA-MLROC-AUC score: 0.709 (LR-TRANS) vs 0.950 (LR-CE)Hurt
Use cross-entropy loss (KL divergence) instead of Frobenius norm for low-rank approximation (ablation)low-rank approximation of transition matrix · CORA-MLROC-AUC score: 0.950 (LR-CE) vs 0.709 (LR-TRANS)Helped
Remove the logit transform (LR-CE) vs keep logit space (CELL) (ablation)CELL · CORA-MLROC-AUC score: 0.950 (LR-CE) vs 0.938 (CELL)No clear effect
Use Frobenius low-rank approximation of adjacency matrix (LR-ADJ) instead of CE-based model (ablation)low-rank approximation baselines · CORA-MLROC-AUC score: 0.561 vs 0.938 (CELL)Hurt
Use cross-entropy low-rank logit model with sampling-free reconstruction in place of NetGANCELL graph statistics · CORA-MLTriangle count: 1,396 (CELL) vs 1,461 (NetGAN)No clear effect

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