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DropEdge not Foolproof: Effective Augmentation Method for Signed Graph Neural Networks
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Shows random DropEdge cannot help link sign prediction (with a generalization bound for SGNNs) and proposes SGA, a signed-graph augmentation framework that adds/removes edges via SGCN-based candidates filtered by balance theory plus curriculum learning on edge difficulty scores.
Problem
Signed graphs are sparse and contain many unbalanced triangles, which hurt SGNNs on link sign prediction; existing graph augmentation methods need node features or labels that signed graphs lack, and random DropEdge is shown not to help.
Approach
A structure augmentation module uses an SGCN encoder to propose candidate edges, keeps only candidates that do not create new unbalanced triangles, and trains with a curriculum that orders edges by a local balance-based difficulty score (edges in unbalanced triangles are harder).
Key results
- SGA boosts SGCN AUC by 14.8% on Wiki-RfA and F1-micro by 32.3% on Slashdot, per the paper's reported best improvements.
- Random DropEdge-style perturbations (random add/remove of positive/negative edges, sign flipping) do not stably improve SGCN performance in the experiments.
- Across six datasets and five backbones, SGA improves link sign prediction for most settings, with the balance degree rising on most datasets (e.g., Wiki-RfA 75.54% to 85.38%).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add SGA to SiGAT | SiGAT · Bitcoin-otc, Epinions, Slashdot, Wiki-elec, and Wiki-RfA | AUC: 88.3±1.0 -> 90.2±0.5; 89.1±0.5 -> 91.1±0.2; 84.6±0.1 -> 85.5±0.2; 88.0±0.2 -> 89.3±0.2; 87.1±0.1 -> 88.0±0.1 | Helped |
| add SGA to GS-GNN | GS-GNN · Bitcoin-alpha | AUC: 85.6±1.4 -> 90.0±0.1 | Helped |
| use structure augmentation only (ablation) | SGCN · Bitcoin-alpha, Bitcoin-otc, Epinions, Slashdot, Wiki-elec, and Wiki-RfA | AUC: 75.3±0.2 -> 79.8±1.1; 79.4±1.5 -> 80.7±2.4; 68.6±4.4 -> 75.9±1.0; 61.0±1.6 -> 67.0±1.3; 70.2±3.1 -> 78.0±0.5; 65.8±2.7 - | Helped |
| use training plan only (ablation) | SGCN · Bitcoin-alpha, Bitcoin-otc, Epinions, Slashdot, Wiki-elec, and Wiki-RfA | AUC: 75.3±0.2 -> 75.3±2.8; 79.4±1.5 -> 79.7±1.0; 68.6±4.4 -> 75.2±1.1; 61.0±1.6 -> 63.7±0.3; 70.2±3.1 -> 71.2±2.3; 65.8±2.7 - | Mixed |
| combine structure augmentation and training plan (ablation) | SGCN · Bitcoin-alpha, Bitcoin-otc, Epinions, Slashdot, Wiki-elec, and Wiki-RfA | AUC: 75.3±0.2 -> 80.9±2.0; 79.4±1.5 -> 82.1±0.3; 68.6±4.4 -> 77.4±0.4; 61.0±1.6 -> 68.7±1.6; 70.2±3.1 -> 77.4±0.9; 65.8±2.7 - | Helped |
| apply random edge additions/removals or random sign flips | SGCN · link sign prediction | performance | No clear effect |
Surprising findings
- Random DropEdge and other random structural perturbations do not improve SGCN, and the theory suggests deleting edges increases the generalization bound.
- SGA slightly reduces the balance degree on Bitcoin-otc (89.04% to 88.60%) and the GAT Wiki-RfA AUC drops.
Limitations
- Assumes balance theory fits the data; the paper acknowledges it may be less effective on datasets that do not conform to balance theory.
- Validated only on link sign prediction; clustering and other signed graph tasks are not tested.
- Some improvements have large standard deviations, and some metrics decline for certain backbones.
Experimental setup
Datasets: Bitcoin-OTC Bitcoin-Alpha Wiki-elec Wiki-RfA Epinions Slashdot
Benchmarks: Bitcoin-OTC Bitcoin-Alpha Wiki-elec Wiki-RfA Epinions Slashdot
Metrics: AUC F1-binary F1-macro F1-micro
Baselines: GCN GAT SGCN SiGAT GS-GNN DropEdge
Builds on: SGCN DropEdge structural balance theory GAUG
Closest papers by meaning
- Self-Explainable Graph Transformer for Link Sign Prediction (AAAI 2025 · similarity 0.91)
- Structure Balance and Gradient Matching-Based Signed Graph Condensation (AAAI 2025 · similarity 0.88)
- Sign is Not a Remedy: Multiset-to-Multiset Message Passing for Learning on Heterophilic Graphs (ICML 2024 · similarity 0.87)
- A Signed Graph Approach to Understanding and Mitigating Oversmoothing (NeurIPS 2025 · similarity 0.86)
- Through the Dual-Prism: A Spectral Perspective on Graph Data Augmentation for Graph Classifications (AAAI 2025 · similarity 0.86)
- Edge Prompt Tuning for Graph Neural Networks (ICLR 2025 · similarity 0.85)
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