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Beyond Redundancy: Information-aware Unsupervised Multiplex Graph Structure Learning

NeurIPS 2024 · Graph learning › Graph self-supervised learning · approach: Heterophily and imbalance on graphs · 6 citations (OpenAlex)

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Proposes InfoMGF, an unsupervised framework that learns a fused, denoised graph from a multiplex graph by refining each view and maximizing view-shared and view-unique task-relevant information via learnable graph augmentation.

Problem

Unsupervised multiplex graph learning assumes reliable graph structure and relies on contrastive learning that only captures view-shared information, missing view-unique task-relevant information and failing to remove task-irrelevant noise in edges.

Approach

Unsupervised graph structure learning for multiplex graphs: refine each view with a graph learner, maximize shared mutual information between views plus mutual information between refined graphs and learned augmented graphs (with a learnable generator that minimizes an upper bound on MI), and fuse views into one graph with a theoretically motivated objective.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use InfoMGF-LA instead of the strongest reported baselineNode clustering · ACM, DBLP, Yelp; InfoMGF-LA is OOM on MAGACC: BTGF 90.09 -> InfoMGF-LA 93.45 (ACM); DMG 88.45 -> 91.08 (DBLP); BTGF 91.39 -> 93.26 (Yelp)Helped
Use InfoMGF-RA instead of the strongest reported baselineNode clustering · MAGACC: MGDCR 61.37 -> InfoMGF-RA 64.13Helped
Use InfoMGF-LA instead of the strongest reported baselineNode classification · ACM, DBLP, Yelp; InfoMGF-LA is OOM on MAGMacro-F1: GRCN 93.04$\pm$0.17 -> InfoMGF-LA 93.42$\pm$0.21 (ACM); SUBLIME 90.98$\pm$0.37 -> 91.28$\pm$0.31 (DBLP); BTGF 92.81$\pm$Helped
Use InfoMGF-RA instead of the strongest reported baselineNode classification · MAGMacro-F1: NodeFormer 77.21$\pm$0.18 -> InfoMGF-RA 77.25$\pm$0.06Helped
Add shared-information loss $\mathcal{L}_s$ (ablation)InfoMGF · ACM, DBLP, YelpMacro-F1: 93.05$\pm$0.49 -> 93.42$\pm$0.21 (ACM); 90.44$\pm$0.45 -> 91.28$\pm$0.31 (DBLP); 93.15$\pm$0.12 -> 93.26$\pm$0.26 (Yelp)Helped
Add task-relevant information loss $\mathcal{L}_u$ (ablation)InfoMGF · ACM, DBLP, YelpMacro-F1: 92.66$\pm$0.53 -> 93.42$\pm$0.21 (ACM); 90.13$\pm$0.43 -> 91.28$\pm$0.31 (DBLP); 92.23$\pm$0.27 -> 93.26$\pm$0.26 (Yelp)Helped
Add graph augmentation instead of maximizing mutual information with the original graph (ablation)InfoMGF · ACM, DBLP, YelpMacro-F1: 92.84$\pm$0.17 -> 93.42$\pm$0.21 (ACM); 90.94$\pm$0.45 -> 91.28$\pm$0.31 (DBLP); 92.76$\pm$0.49 -> 93.26$\pm$0.26 (Yelp)Helped
Add the reconstruction loss to the augmentation generator (ablation)InfoMGF · ACM, DBLP, YelpMacro-F1: 92.91$\pm$0.53 -> 93.42$\pm$0.21 (ACM); 91.05$\pm$0.27 -> 91.28$\pm$0.31 (DBLP); 92.65$\pm$0.27 -> 93.26$\pm$0.26 (Yelp)Helped

Surprising findings

Limitations

Experimental setup

Datasets: ACM DBLP Yelp MAG

Benchmarks: ACM DBLP Yelp MAG

Metrics: NMI ARI ACC F1 Macro-F1 Micro-F1

Baselines: VGAE DGI O2MAC MvAGC MCGC HDMI MGDCR DMG BTGF GCN GAT HAN

Builds on: SUBLIME contrastive multi-view non-redundancy theory Gumbel-Max reparameterization SGC GCN

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