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Duality-Induced Regularizer for Tensor Factorization Based Knowledge Graph Completion
Zhanqiu Zhang Jianyu Cai Jie Wang

Abstract
Tensor factorization based models have shown great power in knowledge graph completion (KGC). However, their performance usually suffers from the overfitting problem seriously. This motivates various regularizers -- such as the squared Frobenius norm and tensor nuclear norm regularizers -- while the limited applicability significantly limits their practical usage. To address this challenge, we propose a novel regularizer -- namely, DUality-induced RegulArizer (DURA) -- which is not only effective in improving the performance of existing models but widely applicable to various methods. The major novelty of DURA is based on the observation that, for an existing tensor factorization based KGC model (primal), there is often another distance based KGC model (dual) closely associated with it. Experiments show that DURA yields consistent and significant improvements on benchmarks.
Code Repositories
Benchmarks
| Benchmark | Methodology | Metrics |
|---|---|---|
| link-prediction-on-fb15k-237 | ComplEx-DURA | Hits@1: 0.276 Hits@10: 0.560 MRR: 0.371 |
| link-prediction-on-wn18rr | CP-DURA | Hits@1: 0.441 Hits@10: 0.552 MRR: 0.478 |
| link-prediction-on-wn18rr | RESCAL-DURA | Hits@1: 0.455 Hits@10: 0.577 MRR: 0.498 |
| link-prediction-on-wn18rr | ComplEx-DURA | Hits@1: 0.449 MRR: 0.491 |
| link-prediction-on-yago3-10 | CP-DURA (large model) | Hits@1: 0.506 Hits@10: 0.709 MRR: 0.579 |
| link-prediction-on-yago3-10 | ComplEx-DURA (large model) | Hits@1: 0.511 Hits@10: 0.713 MRR: 0.584 |
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