HousE: Knowledge Graph Embedding with Householder Parameterization
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Abstract (arXiv)
The effectiveness of knowledge graph embedding (KGE) largely depends on the ability to model intrinsic relation patterns and mapping properties. However, existing approaches can only capture some of them with insufficient modeling capacity. In this work, we propose a more powerful KGE framework named HousE, which involves a novel parameterization based on two kinds of Householder transformations: (1) Householder rotations to achieve superior capacity of modeling relation patterns; (2) Householder projections to handle sophisticated relation mapping properties. Theoretically, HousE is capable of modeling crucial relation patterns and mapping properties simultaneously. Besides, HousE is a generalization of existing rotation-based models while extending the rotations to high-dimensional spaces. Empirically, HousE achieves new state-of-the-art performance on five benchmark datasets. Our code is available at https://github.com/anrep/HousE.
Key facts. Cited by 29 papers in the map (data through 7 Oct 2026). Builds on 11 of its 28 references that are in the map. First posted on arXiv 16 Feb 2022.
Builds on
11 of 28 references.
References · 11
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2017Modeling Relational Data with Graph Convolutional Networkscited by 1,684
- 2014Embedding Entities and Relations for Learning and Inference in Knowledge Basescited by 929
- 2016Complex Embeddings for Simple Link Predictioncited by 897
- 2019RotatE: Knowledge Graph Embedding by Relational Rotation in Complex Spacecited by 893
- 2017Convolutional 2D Knowledge Graph Embeddingscited by 729
- 2019Quaternion Knowledge Graph Embeddingscited by 175
- 2017A Novel Embedding Model for Knowledge Base Completion Based on Convolutional Neural Networkcited by 143
- 2017Knowledge Base Completion: Baselines Strike Backcited by 39
- 2015TransA: An Adaptive Approach for Knowledge Graph Embeddingcited by 19
- 2021Rot-Pro: Modeling Transitivity by Projection in Knowledge Graph Embeddingcited by 15
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Citing papers per year: 2022: 5; 2023: 9; 2024: 6; 2025: 5; 2026: 4.
29 papers.
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- 2022A Survey of Knowledge Graph Reasoning on Graph Types: Static, Dynamic, and Multimodalcited by 106
- 2022Knowledge Graph Contrastive Learning Based on Relation-Symmetrical Structurecited by 43
- 2022Knowledge Graph Embedding: A Survey from the Perspective of Representation Spacescited by 41
- 2023Continual Learning on Dynamic Graphs via Parameter Isolationcited by 35
- 2023Towards Fair Graph Neural Networks via Graph Counterfactualcited by 23
- 2022Test-Time Training for Graph Neural Networkscited by 17
- 2023Knowledge Graph Embedding: An Overviewcited by 10
- 2023Structure Guided Multi-modal Pre-trained Transformer for Knowledge Graph Reasoningcited by 8
- 2024SpherE: Expressive and Interpretable Knowledge Graph Embedding for Set Retrievalcited by 8
- 2023Towards Enhancing Relational Rules for Knowledge Graph Link Predictioncited by 4
- 2025Enhancing Large Language Model for Knowledge Graph Completion via Structure-Aware Alignment-Tuningcited by 4
- 2022RAPO: An Adaptive Ranking Paradigm for Bilingual Lexicon Inductioncited by 3
17 more
- 2024MQuinE: a cure for "Z-paradox" in knowledge graph embedding modelscited by 3
- 2025Bridging External and Parametric Knowledge: Mitigating Hallucination of LLMs with Shared-Private Semantic Synergy in Dual-Stream Knowledgecited by 3
- 2023To Copy Rather Than Memorize: A Vertical Learning Paradigm for Knowledge Graph Completioncited by 2
- 2023Relation-aware Ensemble Learning for Knowledge Graph Embeddingcited by 2
- 2024HyperMono: A Monotonicity-aware Approach to Hyper-Relational Knowledge Representationcited by 2
- 2024STAGE: Simplified Text-Attributed Graph Embeddings Using Pre-trained LLMscited by 2
- 2025Efficient Learning on Large Graphs using a Densifying Regularity Lemmacited by 2
- 2025DuetGraph: Coarse-to-Fine Knowledge Graph Reasoning with Dual-Pathway Global-Local Fusioncited by 2
- 2026Improving Enzyme Prediction with Chemical Reaction Equations by Hypergraph-Enhanced Knowledge Graph Embeddingscited by 1
- 2023Learning Complete Topology-Aware Correlations Between Relations for Inductive Link Predictioncited by 0
- 2023Node-based Knowledge Graph Contrastive Learning for Medical Relationship Predictioncited by 0
- 2024CL4KGE: A Curriculum Learning Method for Knowledge Graph Embeddingcited by 0
- 2024Efficient Relational Context Perception for Knowledge Graph Completioncited by 0
- 2025MPRM: A Markov Path-based Rule Miner for Efficient and Interpretable Knowledge Graph Reasoningcited by 0
- 2026Relations Are Channels: Knowledge Graph Embedding via Kraus Decompositionscited by 0
- 2026Q-GNN: Query-Conditioned Graph Neural Networks with Type Awareness for Knowledge Graph Completioncited by 0
- 2026Generalized Rank-based Evaluation for Knowledge Graph Completion: Perspectives, Framework, and Analysescited by 0
- 2026Generalized Rank-based Evaluation for Knowledge Graph Completion: Perspectives, Framework, and Analyses8 Jun 2026
- 2026Q-GNN: Query-Conditioned Graph Neural Networks with Type Awareness for Knowledge Graph Completion4 Jun 2026
- 2026Relations Are Channels: Knowledge Graph Embedding via Kraus Decompositions11 May 2026
- 2026Improving Enzyme Prediction with Chemical Reaction Equations by Hypergraph-Enhanced Knowledge Graph Embeddings8 Jan 2026
- 2025Enhancing Large Language Model for Knowledge Graph Completion via Structure-Aware Alignment-Tuning1 Sep 2025
- 2025DuetGraph: Coarse-to-Fine Knowledge Graph Reasoning with Dual-Pathway Global-Local Fusion15 Jul 2025
- 2025Bridging External and Parametric Knowledge: Mitigating Hallucination of LLMs with Shared-Private Semantic Synergy in Dual-Stream Knowledge6 Jun 2025
- 2025MPRM: A Markov Path-based Rule Miner for Efficient and Interpretable Knowledge Graph Reasoning18 May 2025
- 2025Efficient Learning on Large Graphs using a Densifying Regularity Lemma25 Apr 2025
- 2024Efficient Relational Context Perception for Knowledge Graph Completion31 Dec 2024
- 2024CL4KGE: A Curriculum Learning Method for Knowledge Graph Embedding27 Aug 2024
- 2024STAGE: Simplified Text-Attributed Graph Embeddings Using Pre-trained LLMs10 Jul 2024
17 more
- 2024SpherE: Expressive and Interpretable Knowledge Graph Embedding for Set Retrieval29 Apr 2024
- 2024HyperMono: A Monotonicity-aware Approach to Hyper-Relational Knowledge Representation15 Apr 2024
- 2024MQuinE: a cure for "Z-paradox" in knowledge graph embedding models5 Feb 2024
- 2023Towards Enhancing Relational Rules for Knowledge Graph Link Prediction20 Oct 2023
- 2023Node-based Knowledge Graph Contrastive Learning for Medical Relationship Prediction16 Oct 2023
- 2023Relation-aware Ensemble Learning for Knowledge Graph Embedding13 Oct 2023
- 2023Knowledge Graph Embedding: An Overview21 Sep 2023
- 2023Learning Complete Topology-Aware Correlations Between Relations for Inductive Link Prediction20 Sep 2023
- 2023Towards Fair Graph Neural Networks via Graph Counterfactual10 Jul 2023
- 2023Structure Guided Multi-modal Pre-trained Transformer for Knowledge Graph Reasoning6 Jul 2023
- 2023To Copy Rather Than Memorize: A Vertical Learning Paradigm for Knowledge Graph Completion23 May 2023
- 2023Continual Learning on Dynamic Graphs via Parameter Isolation23 May 2023
- 2022A Survey of Knowledge Graph Reasoning on Graph Types: Static, Dynamic, and Multimodal12 Dec 2022
- 2022Knowledge Graph Contrastive Learning Based on Relation-Symmetrical Structure19 Nov 2022
- 2022Knowledge Graph Embedding: A Survey from the Perspective of Representation Spaces7 Nov 2022
- 2022RAPO: An Adaptive Ranking Paradigm for Bilingual Lexicon Induction18 Oct 2022
- 2022Test-Time Training for Graph Neural Networks17 Oct 2022
- 2022A Survey of Knowledge Graph Reasoning on Graph Types: Static, Dynamic, and Multimodalcited by 106
- 2022Knowledge Graph Contrastive Learning Based on Relation-Symmetrical Structurecited by 43
- 2022Knowledge Graph Embedding: A Survey from the Perspective of Representation Spacescited by 41
- 2023Continual Learning on Dynamic Graphs via Parameter Isolationcited by 35
- 2023Towards Fair Graph Neural Networks via Graph Counterfactualcited by 23
- 2022Test-Time Training for Graph Neural Networkscited by 17
- 2023Knowledge Graph Embedding: An Overviewcited by 10
- 2023Structure Guided Multi-modal Pre-trained Transformer for Knowledge Graph Reasoningcited by 8
- 2024SpherE: Expressive and Interpretable Knowledge Graph Embedding for Set Retrievalcited by 8
- 2023Towards Enhancing Relational Rules for Knowledge Graph Link Predictioncited by 4
- 2025Enhancing Large Language Model for Knowledge Graph Completion via Structure-Aware Alignment-Tuningcited by 4
- 2022RAPO: An Adaptive Ranking Paradigm for Bilingual Lexicon Inductioncited by 3
12 most cited of 27 All 27 (JSON)
- 2026Q-GNN: Query-Conditioned Graph Neural Networks with Type Awareness for Knowledge Graph Completion4 Jun 2026
- 2026Relations Are Channels: Knowledge Graph Embedding via Kraus Decompositions11 May 2026
- 2026Improving Enzyme Prediction with Chemical Reaction Equations by Hypergraph-Enhanced Knowledge Graph Embeddings8 Jan 2026
- 2025Enhancing Large Language Model for Knowledge Graph Completion via Structure-Aware Alignment-Tuning1 Sep 2025
- 2025DuetGraph: Coarse-to-Fine Knowledge Graph Reasoning with Dual-Pathway Global-Local Fusion15 Jul 2025
- 2025MPRM: A Markov Path-based Rule Miner for Efficient and Interpretable Knowledge Graph Reasoning18 May 2025
- 2025Efficient Learning on Large Graphs using a Densifying Regularity Lemma25 Apr 2025
- 2024Efficient Relational Context Perception for Knowledge Graph Completion31 Dec 2024
- 2024CL4KGE: A Curriculum Learning Method for Knowledge Graph Embedding27 Aug 2024
- 2024STAGE: Simplified Text-Attributed Graph Embeddings Using Pre-trained LLMs10 Jul 2024
- 2024SpherE: Expressive and Interpretable Knowledge Graph Embedding for Set Retrieval29 Apr 2024
- 2024HyperMono: A Monotonicity-aware Approach to Hyper-Relational Knowledge Representation15 Apr 2024
12 newest of 27 All 27 (JSON)