Convolutional 2D Knowledge Graph Embeddings

5 Jul 2017  ยท  Tim Dettmers, Pasquale Minervini, Pontus Stenetorp, Sebastian Riedel ยท

Link prediction for knowledge graphs is the task of predicting missing relationships between entities. Previous work on link prediction has focused on shallow, fast models which can scale to large knowledge graphs. However, these models learn less expressive features than deep, multi-layer models -- which potentially limits performance. In this work, we introduce ConvE, a multi-layer convolutional network model for link prediction, and report state-of-the-art results for several established datasets. We also show that the model is highly parameter efficient, yielding the same performance as DistMult and R-GCN with 8x and 17x fewer parameters. Analysis of our model suggests that it is particularly effective at modelling nodes with high indegree -- which are common in highly-connected, complex knowledge graphs such as Freebase and YAGO3. In addition, it has been noted that the WN18 and FB15k datasets suffer from test set leakage, due to inverse relations from the training set being present in the test set -- however, the extent of this issue has so far not been quantified. We find this problem to be severe: a simple rule-based model can achieve state-of-the-art results on both WN18 and FB15k. To ensure that models are evaluated on datasets where simply exploiting inverse relations cannot yield competitive results, we investigate and validate several commonly used datasets -- deriving robust variants where necessary. We then perform experiments on these robust datasets for our own and several previously proposed models and find that ConvE achieves state-of-the-art Mean Reciprocal Rank across most datasets.

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Results from the Paper


 Ranked #1 on Link Prediction on WN18 (using extra training data)

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Task Dataset Model Metric Name Metric Value Global Rank Uses Extra
Training Data
Result Benchmark
Link Prediction FB15k ConvE MR 51 # 6
MRR 0.657 # 23
Hits@10 0.831 # 22
Hits@3 0.723 # 15
Hits@1 0.558 # 16
Link Prediction FB15k Inverse Model MR 2501 # 13
MRR 0.660 # 22
Hits@10 0.660 # 24
Hits@3 0.659 # 16
Hits@1 0.658 # 13
Link Prediction FB15k-237 ConvE MRR 0.325 # 49
Hits@10 0.501 # 47
Hits@3 0.356 # 38
Hits@1 0.237 # 42
Link Prediction FB15k-237 Inverse Model MRR 0.010 # 65
Hits@10 0.014 # 69
Hits@3 0.011 # 47
Hits@1 0.007 # 53
MR 7030 # 30
Link Prediction UMLS ConvE Hits@10 0.990 # 5
MR 1.51 # 6
Link Prediction WN18 Inverse Model MRR 0.963 # 1
Hits@10 0.964 # 1
Hits@3 0.964 # 1
Hits@1 0.953 # 1
MR 740 # 18
Link Prediction WN18 ConvE MRR 0.943 # 17
Hits@10 0.956 # 17
Hits@3 0.946 # 15
Hits@1 0.935 # 17
MR 374 # 15
Link Prediction WN18RR ConvE MRR 0.430 # 61
Hits@10 0.520 # 63
Hits@3 0.440 # 45
Hits@1 0.400 # 50
Link Prediction WN18RR Inverse Model MRR 0.35 # 66
Hits@10 0.35 # 70
Hits@3 0.35 # 50
Hits@1 0.35 # 54
MR 13526 # 31
Link Prediction YAGO3-10 ConvE MRR 0.44 # 17
Hits@10 0.62 # 16

Methods


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