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Uncertain Knowledge Graph Completion via Semi-Supervised Confidence Distribution Learning
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Proposes ssCDL, a semi-supervised UKG completion method that turns each triple confidence into a Gaussian confidence distribution and uses meta self-training to generate pseudo-labeled negative triples, improving confidence and link prediction on NL27k and CN15k.
Problem
Uncertain knowledge graph completion suffers from extremely imbalanced triple confidence distributions (mostly high-confidence triples), so embedding models fit low-confidence samples poorly and lack supervision for unseen confidences.
Approach
Transform each triple confidence into a Gaussian-shaped discrete confidence distribution so neighboring confidence levels supply extra supervision, and augment training with negative-sampled unseen triples given pseudo confidence distributions from a meta-learned generator (PCDG), which is optimized by the performance of the relational learner (CDL-RL) in a meta self-training loop.
Key results
- On NL27k, ssCDL reaches MSE 0.009 and MAE 0.042 for confidence prediction, reducing MSE by 52.6% versus the best baseline; WMRR 0.727 and Hits@1 0.636 for link prediction.
- On CN15k, ssCDL reduces MSE by 63.8% and MAE by 53.2% relative to the best baseline, with WMRR 0.207 and Hits@1 0.133.
- Ablations show removing confidence distribution learning (w/o cdl) gives the largest drop, e.g., NL27k MSE rising from 0.009 to 0.015.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add confidence distribution learning (ablation) | ssCDL · NL27k | MSE: 0.015 -> 0.009 | Helped |
| add confidence distribution learning (ablation) | ssCDL · NL27k | WMRR: 0.586 -> 0.727 | Helped |
| add confidence distribution learning (ablation) | ssCDL · CN15k | MSE: 0.044 -> 0.034 | Helped |
| add confidence distribution learning (ablation) | ssCDL · CN15k | WMRR: 0.149 -> 0.207 | Helped |
| add meta self-training (ablation) | ssCDL · NL27k | MSE: 0.010 -> 0.009 | Helped |
| add meta self-training (ablation) | ssCDL · NL27k | WMRR: 0.718 -> 0.727 | Helped |
| add meta self-training (ablation) | ssCDL · CN15k | MSE: 0.035 -> 0.034 | Helped |
| add meta self-training (ablation) | ssCDL · CN15k | WMRR: 0.200 -> 0.207 | Helped |
Surprising findings
- Link prediction gains are much smaller than confidence prediction gains, which the authors attribute to implicit optimization of link prediction through shared embeddings.
- The authors note that on CN15k the triple confidences are not clearly distinguishable in reliability, so the imbalance-based motivation may not hold there.
Limitations
- Evaluated on only two UKG datasets; CN15k's confidences are argued to lack meaningful reliability differences.
- Link prediction improvement over baselines is modest relative to confidence prediction.
- Hyperparameters (sigma, w_p, selection threshold) were tuned per dataset using validation sets.
Experimental setup
Datasets: NL27k CN15k
Benchmarks: NL27k CN15k
Metrics: MSE MAE WMRR Hits@1
Baselines: UKGE PASSLEAF UKGsE BEUrRE UPGAT
Builds on: UKGE PASSLEAF label distribution learning uncertainty weights multi-task loss DistMult
Closest papers by meaning
- KGCRR: An Effective Metric-Driven Knowledge Graph Completion Framework by Designing a Novel Upper Bound Function with Adaptive Approximation to Reciprocal Rank (AAAI 2025 · similarity 0.86)
- Towards Global-Topology Relation Graph for Inductive Knowledge Graph Completion (AAAI 2025 · similarity 0.85)
- Structure Is All You Need: Structural Representation Learning on Hyper-Relational Knowledge Graphs (ICML 2025 · similarity 0.85)
- Towards Continual Knowledge Graph Embedding via Incremental Distillation (AAAI 2024 · similarity 0.85)
- Towards Trustworthy Knowledge Graph Reasoning: An Uncertainty Aware Perspective (AAAI 2025 · similarity 0.84)
- Stability and Generalization Capability of Subgraph Reasoning Models for Inductive Knowledge Graph Completion (ICML 2025 · similarity 0.84)
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