TLDR: A new method, ssCDL, addresses the incompleteness and imbalanced confidence distributions in Uncertain Knowledge Graphs (UKGs). It transforms single confidence scores into distributions for richer supervision and uses a meta-learning-based generator to create reliable pseudo-labels for unlabeled, often low-confidence, data. This semi-supervised, iterative approach significantly improves both confidence and link prediction tasks, especially for low-confidence facts, outperforming existing methods.
Knowledge Graphs (KGs) are powerful tools that organize information as interconnected facts, like (Michael Jordan, Nationality, U.S.). However, the real world often involves uncertainty, leading to the development of Uncertain Knowledge Graphs (UKGs). UKGs enhance traditional KGs by assigning a confidence score to each fact, indicating its likelihood of being true. This allows for a more nuanced and precise representation of knowledge.
Despite their utility, UKGs face a significant challenge: incompleteness. Just like traditional KGs, new information constantly emerges, leaving gaps in UKGs. Researchers have been working on UKG completion methods to predict missing facts and their associated confidence scores. A major hurdle in this area is the severely imbalanced distribution of confidence scores in existing UKGs. Often, only facts with very high confidence are stored, leading to models that struggle to accurately predict lower-confidence or unseen facts.
A Novel Approach to UKG Completion
To tackle this imbalance and improve the quality of UKG completion, a new method called Semi-Supervised Confidence Distribution Learning (ssCDL) has been proposed. This innovative approach introduces two key strategies: Confidence Distribution Learning (CDL) and a Pseudo Confidence Distribution Generator (PCDG), working together in a meta self-training framework.
Confidence Distribution Learning: Beyond Single Scores
Traditionally, a triple in a UKG is associated with a single confidence score (e.g., 0.78). However, ssCDL transforms this single score into a ‘confidence distribution.’ Imagine instead of just saying a fact has a confidence of 0.78, we represent it as a bell-shaped curve centered at 0.78, indicating that neighboring confidences (like 0.77 or 0.79) are also relevant. This transformation introduces richer supervisory information during the learning process, allowing the model to better understand and predict a wider range of confidence levels, even those that are rare or entirely new. This helps the model learn more robust embeddings for entities and relations within the UKG.
Pseudo Confidence Distribution Generator: Learning from the Unknown
The second core component, the Pseudo Confidence Distribution Generator (PCDG), addresses the scarcity of low-confidence data. Since UKGs often lack examples of low-confidence facts, PCDG generates ‘pseudo-labels’—estimated confidence distributions—for unseen or unlabeled facts. This is crucial because these unseen facts are often false or have low confidence, and incorporating them can help rebalance the training data. PCDG uses a sophisticated meta-learning technique to ensure these generated pseudo-labels are reliable and effectively improve the main UKG embedding learner.
Meta Self-Training: A Collaborative Learning Process
The ssCDL method operates through an iterative meta self-training process. The CDL-based Relational Learner (CDL-RL) learns UKG embeddings using both existing labeled data and the pseudo-labeled data generated by PCDG. In turn, PCDG refines its ability to generate high-quality pseudo-labels by observing how well CDL-RL performs with the data it provides. This continuous feedback loop allows both components to improve synergistically, leading to more accurate and comprehensive UKG completion.
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Demonstrated Effectiveness
Experiments conducted on two widely used UKG datasets, NL27k and CN15k, show that ssCDL consistently outperforms state-of-the-art baseline methods across various evaluation metrics for both confidence prediction (estimating missing confidence scores) and link prediction (predicting missing entities). Notably, ssCDL demonstrated significant robustness and superior performance in predicting the confidences of low-confidence triples, a task where many existing methods struggle due to data imbalance. The ablation studies further confirmed that both the Confidence Distribution Learning strategy and the meta self-training framework are vital contributors to ssCDL’s success.
This research marks a significant step forward in making Uncertain Knowledge Graphs more complete and reliable, paving the way for more precise knowledge representation and reasoning in various applications. For more details, you can refer to the full research paper here.


