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Self-Explainable Graph Transformer for Link Sign Prediction
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Proposes SE-SGformer, a self-explainable graph Transformer for link sign prediction that uses signed random walk encoding and explains predictions via K-nearest positive and K-farthest negative neighbors.
Problem
Signed GNNs for link sign prediction are not explainable, and post-hoc explanations may be biased; there is also a scarcity of negative neighbors in signed graphs.
Approach
A graph Transformer for signed graphs with centrality, adjacency, and signed random walk encodings, whose embeddings feed a distance-based decision process that predicts edge signs by comparing an edge's distance to a node's K-nearest positive and K-farthest negative neighbors, which also serve as explanations.
Key results
- SE-SGformer reaches 90.03% accuracy on Bitcoin-OTC and 89.88% on Bitcoin-Alpha, versus 88.22% and 87.96% for the best baselines (SGCN).
- On KuaiRec, SE-SGformer reaches 85.60% accuracy, while SGCN reaches 85.11%; on Epinions it is lower (72.84%) than SGCN (86.97%).
- Explanation precision@40 is 75.19% on Bitcoin-OTC, 94.47% on Bitcoin-Alpha and 76.07% on Amazon-music, above all listed baselines (at most 61.70%).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use SE-SGformer instead of the strongest baseline | Link sign prediction · Amazon-music | accuracy: 78.26 ± 1.52 -> 79.20 ± 0.23 | Helped |
| Use SE-SGformer instead of the strongest baseline | Link sign prediction · Epinions | accuracy: 86.97 ± 1.53 -> 72.84 ± 1.78 | Hurt |
| Use SE-SGformer instead of the strongest baseline | Link sign prediction · KuaiRand | accuracy: 62.85 ± 0.05 -> 56.89 ± 0.12 | Hurt |
| Use SE-SGformer instead of the strongest baseline | Link sign prediction · KuaiRec | accuracy: 85.11 ± 0.11 -> 85.60 ± 0.05 | Helped |
| Use SE-SGformer instead of the strongest baseline | Link sign prediction · WikiRfa | accuracy: 78.69 ± 1.06 -> 79.99 ± 0.08 | Helped |
| Use SE-SGformer instead of the strongest baseline | Link sign prediction · WikiElec | accuracy: 79.63 ± 2.82 -> 80.63 ± 0.08 | Helped |
| Use SE-SGformer instead of the strongest baseline | Link sign prediction · Bitcoin-OTC | accuracy: 88.22 ± 0.69 -> 90.03 ± 0.35 | Helped |
| Use SE-SGformer instead of the strongest baseline | Link sign prediction · Bitcoin-Alpha | accuracy: 87.96 ± 0.38 -> 89.88 ± 0.40 | Helped |
| Use SE-SGformer instead of the strongest baseline | Neighbor explanations · Bitcoin-OTC | Precision@40: 57.25 ± 0.15 -> 75.19 ± 0.13 | Helped |
| Use SE-SGformer instead of the strongest baseline | Neighbor explanations · Bitcoin-Alpha | Precision@40: 55.43 ± 0.15 -> 94.47 ± 0.58 | Helped |
| Use SE-SGformer instead of the strongest baseline | Neighbor explanations · Amazon-music | Precision@40: 61.70 ± 0.08 -> 76.07 ± 0.20 | Helped |
| Add centrality encoding (ablation) | SE-SGformer · Bitcoin-OTC and Bitcoin-Alpha | accuracy | Helped |
Surprising findings
- SE-SGformer underperforms SGCN on Epinions (72.84% vs 86.97%) and KuaiRand (56.89% vs 62.85%).
- SIGformer, a signed graph Transformer, performs poorly on most datasets (e.g., 57.07% on Epinions).
Limitations
- Performance is below SGCN on several datasets such as Epinions and KuaiRand.
- Explanation ground truth is synthetic, derived from the model's own learned embeddings rather than human-verified rationales.
- Number of Transformer layers is fixed to one in the main setting; deeper models reduce performance.
Experimental setup
Datasets: Bitcoin-OTC Bitcoin-Alpha WikiElec WikiRfa Epinions KuaiRand KuaiRec Amazon-music
Benchmarks: Bitcoin-OTC Bitcoin-Alpha WikiElec WikiRfa Epinions KuaiRand KuaiRec Amazon-music
Metrics: accuracy precision@K
Baselines: GCN GAT SGCN SNEA SGCL SIGformer
Builds on: Graphormer SGCN SRWR SE-GNN SIGformer
Closest papers by meaning
- DropEdge not Foolproof: Effective Augmentation Method for Signed Graph Neural Networks (NeurIPS 2024 · similarity 0.91)
- Structure Balance and Gradient Matching-Based Signed Graph Condensation (AAAI 2025 · similarity 0.87)
- GOAt: Explaining Graph Neural Networks via Graph Output Attribution (ICLR 2024 · similarity 0.87)
- Sign is Not a Remedy: Multiset-to-Multiset Message Passing for Learning on Heterophilic Graphs (ICML 2024 · similarity 0.87)
- Bridging Theory and Practice in Link Representation with Graph Neural Networks (NeurIPS 2025 · similarity 0.86)
- A Signed Graph Approach to Understanding and Mitigating Oversmoothing (NeurIPS 2025 · similarity 0.86)
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