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MEIM: Multi-partition Embedding Interaction Beyond Block Term Format for Efficient and Expressive Link Prediction

30 Sep 2022arXiv:2209.15597archive 2025-07-28

Hung Nghiep Tran, Atsuhiro Takasu

Knowledge graph embedding aims to predict the missing relations between entities in knowledge graphs. Tensor-decomposition-based models, such as ComplEx, provide a good trade-off between efficiency and expressiveness, that is crucial because of the large size of real world knowledge graphs. The recent multi-partition embedding interaction (MEI) model subsumes these models by using the block term tensor format and provides a systematic solution for the trade-off. However, MEI has several drawbacks, some of which carried from its subsumed tensor-decomposition-based models. In this paper, we address these drawbacks and introduce the Multi-partition Embedding Interaction iMproved beyond block term format (MEIM) model, with independent core tensor for ensemble effects and soft orthogonality for max-rank mapping, in addition to multi-partition embedding. MEIM improves expressiveness while still being highly efficient, helping it to outperform strong baselines and achieve state-of-the-art results on difficult link prediction benchmarks using fairly small embedding sizes. The source code is released at https://github.com/tranhungnghiep/MEIM-KGE.

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tranhungnghiep/meim-kge officialmentioned in papermentioned on GitHubpytorch report
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minmaxnorm tranhungnghiep/MEIM/src/models.py found in paper text by Syntology ran · our draft was wrong fingerprinted no licence file found · pointer only · 8e31d4ebb7707359 · report
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Tasks

Graph EmbeddingKnowledge Graph EmbeddingKnowledge GraphsLink PredictionTensor DecompositionWorld Knowledge

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Link Prediction FB15k-237 MEIM Hits@1 0.274 #11 of 75 Archive leaderboard report
Link Prediction FB15k-237 MEIM Hits@10 0.557 #11 of 75 Archive leaderboard report
Link Prediction FB15k-237 MEIM Hits@3 0.406 #11 of 75 Archive leaderboard report
Link Prediction FB15k-237 MEIM MRR 0.369 #11 of 75 Archive leaderboard report
Link Prediction WN18RR MEIM Hits@1 0.458 #31 of 75 Archive leaderboard report
Link Prediction WN18RR MEIM Hits@10 0.577 #31 of 75 Archive leaderboard report
Link Prediction WN18RR MEIM Hits@3 0.518 #31 of 75 Archive leaderboard report
Link Prediction WN18RR MEIM MRR 0.499 #31 of 75 Archive leaderboard report
Link Prediction YAGO3-10 MEIM Hits@1 0.514 #1 of 18 Archive leaderboard report
Link Prediction YAGO3-10 MEIM Hits@10 0.716 #1 of 18 Archive leaderboard report
Link Prediction YAGO3-10 MEIM Hits@3 0.625 #1 of 18 Archive leaderboard report
Link Prediction YAGO3-10 MEIM MRR 0.585 #1 of 18 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

Methods

MEI

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