Papers › Holographic Embeddings of Knowledge Graphs

Holographic Embeddings of Knowledge Graphs

16 Oct 2015arXiv:1510.04935archive 2025-07-28

Maximilian Nickel, Lorenzo Rosasco, Tomaso Poggio

Learning embeddings of entities and relations is an efficient and versatile method to perform machine learning on relational data such as knowledge graphs. In this work, we propose holographic embeddings (HolE) to learn compositional vector space representations of entire knowledge graphs. The proposed method is related to holographic models of associative memory in that it employs circular correlation to create compositional representations. By using correlation as the compositional operator HolE can capture rich interactions but simultaneously remains efficient to compute, easy to train, and scalable to very large datasets. In extensive experiments we show that holographic embeddings are able to outperform state-of-the-art methods for link prediction in knowledge graphs and relational learning benchmark datasets.

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cconv mnick/scikit-kge/skge/util.py community (archive-listed) unverified MIT (permissive) · a1ff90bb8c12b9e2 · report
ccorr mnick/scikit-kge/skge/util.py community (archive-listed) unverified MIT (permissive) · f1c91ce2de33bcff · report
grad_sum_matrix mnick/scikit-kge/skge/util.py community (archive-listed) unverified MIT (permissive) · a5d1dd76b77390ab · report
init_nunif mnick/scikit-kge/skge/param.py community (archive-listed) unverified MIT (permissive) · f8afbc7c95eb51e8 · report
init_randn mnick/scikit-kge/skge/param.py community (archive-listed) unverified MIT (permissive) · a590708a90bcec18 · report
init_unif mnick/scikit-kge/skge/param.py community (archive-listed) unverified MIT (permissive) · 9c11469e31d9e3d1 · report
sigmoid mnick/scikit-kge/skge/base.py community (archive-listed) unverified MIT (permissive) · c50decfd17e5027a · report
type_index mnick/scikit-kge/skge/sample.py community (archive-listed) unverified MIT (permissive) · 0a1271415524bf30 · report

Tasks

Knowledge GraphsLink PredictionRelational Reasoning

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Link Prediction FB15k HolE Hits@1 0.402 #9 of 10 Archive leaderboard report
Link Prediction FB15k HolE Hits@10 0.739 #9 of 10 Archive leaderboard report
Link Prediction FB15k HolE Hits@3 0.613 #9 of 10 Archive leaderboard report
Link Prediction FB15k HolE MRR 0.524 #9 of 10 Archive leaderboard report
Link Prediction WN18 HolE Hits@1 0.930 #21 of 37 Archive leaderboard report
Link Prediction WN18 HolE Hits@10 0.949 #21 of 37 Archive leaderboard report
Link Prediction WN18 HolE Hits@3 0.945 #21 of 37 Archive leaderboard report
Link Prediction WN18 HolE MRR 0.938 #21 of 37 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.

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