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Augmenting Compositional Models for Knowledge Base Completion Using Gradient Representations
Matthias Lalisse; Paul Smolensky

Abstract
Neural models of Knowledge Base data have typically employed compositional representations of graph objects: entity and relation embeddings are systematically combined to evaluate the truth of a candidate Knowedge Base entry. Using a model inspired by Harmonic Grammar, we propose to tokenize triplet embeddings by subjecting them to a process of optimization with respect to learned well-formedness conditions on Knowledge Base triplets. The resulting model, known as Gradient Graphs, leads to sizable improvements when implemented as a companion to compositional models. Also, we show that the "supracompositional" triplet token embeddings it produces have interpretable properties that prove helpful in performing inference on the resulting triplet representations.
Benchmarks
| Benchmark | Methodology | Metrics |
|---|---|---|
| knowledge-graphs-on-fb15k | HHolE | MRR: .796 |
| link-prediction-on-fb15k | HHolE | Hits@1: .727 Hits@10: .901 Hits@3: .848 MR: 21 MRR: .796 |
| link-prediction-on-fb15k-1 | HHolE | Hits@1: 0.727 Hits@10: 0.901 Hits@3: 0.848 MR: 21 MRR: 0.796 |
| link-prediction-on-wn18 | HHolE | Hits@1: .931 Hits@10: .951 Hits@3: .945 MR: 183 MRR: .939 |
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