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Beyond Redundancy: Information-aware Unsupervised Multiplex Graph Structure Learning
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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
- On node clustering, InfoMGF-LA reaches 76.53 NMI and 93.45 ACC on ACM and 75.18 NMI on Yelp, outperforming the best multiplex baselines (BTGF, DMG).
- On node classification, InfoMGF-LA achieves 93.42 Macro-F1 on ACM and 93.26 Macro-F1 on Yelp, exceeding supervised GSL methods such as GRCN and NodeFormer.
- Robustness analysis on ACM shows InfoMGF consistently outperforms GCN, SUBLIME and HDMI under random edge addition and deletion, especially at high perturbation rates.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use InfoMGF-LA instead of the strongest reported baseline | Node clustering · ACM, DBLP, Yelp; InfoMGF-LA is OOM on MAG | ACC: 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 baseline | Node clustering · MAG | ACC: MGDCR 61.37 -> InfoMGF-RA 64.13 | Helped |
| Use InfoMGF-LA instead of the strongest reported baseline | Node classification · ACM, DBLP, Yelp; InfoMGF-LA is OOM on MAG | Macro-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 baseline | Node classification · MAG | Macro-F1: NodeFormer 77.21$\pm$0.18 -> InfoMGF-RA 77.25$\pm$0.06 | Helped |
| Add shared-information loss $\mathcal{L}_s$ (ablation) | InfoMGF · ACM, DBLP, Yelp | Macro-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, Yelp | Macro-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$0.26 (Yelp) | Helped |
| Add graph augmentation instead of maximizing mutual information with the original graph (ablation) | InfoMGF · ACM, DBLP, Yelp | Macro-F1: 92.84$\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$0.26 (Yelp) | Helped |
| Add the reconstruction loss to the augmentation generator (ablation) | InfoMGF · ACM, DBLP, Yelp | Macro-F1: 92.91$\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
- The unsupervised InfoMGF outperforms supervised GSL methods (e.g., GRCN, IDGL, ProGNN) on node classification.
- Removing the unique-information loss L_u hurts more than removing the shared-information loss L_s.
Limitations
- Focuses only on the pure unsupervised setting; does not exploit partial labels.
- Theoretical guarantees rely on an optimal augmentation assumption that cannot be achieved without labels; heuristic augmentations only approximate it.
- Evaluated on four multiplex datasets with node-level tasks only.
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
Closest papers by meaning
- Multiplex Graph Representation Learning with Homophily and Consistency (AAAI 2025 · similarity 0.90)
- GraphFLEx: Unsupervised Structure Learning $\underline{\text{F}}$ramework for $\underline{\text{L}}$arge $\underline{\text{Ex}}$panding $\underline{\text{Graph}}$s (ICML 2026 · similarity 0.89)
- Unsupervised Attributed Multiplex Network Embedding (AAAI 2020 · similarity 0.89)
- Disentangled Multiplex Graph Representation Learning (ICML 2023 · similarity 0.88)
- Hypergraph Learning for Unsupervised Graph Alignment via Optimal Transport (AAAI 2025 · similarity 0.86)
- When Edge Independence Fails: Joint Graph Diffusion with Latent Sociability Priors (NeurIPS 2026 · similarity 0.85)
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