Link Prediction on N-ary Relational Facts: A Graph-based Approach
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Abstract (arXiv)
Link prediction on knowledge graphs (KGs) is a key research topic. Previous work mainly focused on binary relations, paying less attention to higher-arity relations although they are ubiquitous in real-world KGs. This paper considers link prediction upon n-ary relational facts and proposes a graph-based approach to this task. The key to our approach is to represent the n-ary structure of a fact as a small heterogeneous graph, and model this graph with edge-biased fully-connected attention. The fully-connected attention captures universal inter-vertex interactions, while with edge-aware attentive biases to particularly encode the graph structure and its heterogeneity. In this fashion, our approach fully models global and local dependencies in each n-ary fact, and hence can more effectively capture associations therein. Extensive evaluation verifies the effectiveness and superiority of our approach. It performs substantially and consistently better than current state-of-the-art across a variety of n-ary relational benchmarks. Our code is publicly available.
Key facts. Cited by 29 papers in the map (data through 7 Oct 2026). Builds on 27 of its 41 references that are in the map. First posted on arXiv 18 May 2021.
Builds on
27 of 41 references.
References · 27
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15 more
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Citing papers per year: 2021: 2; 2022: 3; 2023: 8; 2024: 5; 2025: 8; 2026: 3.
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- 2025HyperGraphRAG: Retrieval-Augmented Generation via Hypergraph-Structured Knowledge Representationcited by 68
- 2021What is Event Knowledge Graph: A Surveycited by 19
- 2023Representation Learning on Hyper-Relational and Numeric Knowledge Graphs with Transformerscited by 16
- 2023Shrinking Embeddings for Hyper-Relational Knowledge Graphscited by 12
- 2023Text2NKG: Fine-Grained N-ary Relation Extraction for N-ary relational Knowledge Graph Constructioncited by 11
- 2023HAHE: Hierarchical Attention for Hyper-Relational Knowledge Graphs in Global and Local Levelcited by 10
- 2023Temporal Fact Reasoning over Hyper-Relational Knowledge Graphscited by 10
- 2022NQE: N-ary Query Embedding for Complex Query Answering over Hyper-Relational Knowledge Graphscited by 9
- 2022Learning Representations for Hyper-Relational Knowledge Graphscited by 8
- 2022DHGE: Dual-View Hyper-Relational Knowledge Graph Embedding for Link Prediction and Entity Typingcited by 7
- 2023HyperFormer: Enhancing Entity and Relation Interaction for Hyper-Relational Knowledge Graph Completioncited by 5
- 2025A Survey of Link Prediction in N-ary Knowledge Graphscited by 4
17 more
- 2023IntelliGraphs: Datasets for Benchmarking Knowledge Graph Generationcited by 3
- 2024Cardinality Estimation on Hyper-relational Knowledge Graphscited by 3
- 2024Replacing Paths with Connection-Biased Attention for Knowledge Graph Completioncited by 3
- 2024UniHR: Hierarchical Representation Learning for Unified Knowledge Graph Link Predictioncited by 3
- 2025Inductive Link Prediction on N-ary Relational Facts via Semantic Hypergraph Reasoningcited by 3
- 2021Fact-Tree Reasoning for N-ary Question Answering over Knowledge Graphscited by 2
- 2023Few-shot Link Prediction on N-ary Factscited by 2
- 2024HyperMono: A Monotonicity-aware Approach to Hyper-Relational Knowledge Representationcited by 2
- 2024Generalizing Hyperedge Expansion for Hyper-relational Knowledge Graph Modelingcited by 2
- 2025Transformers for Complex Query Answering over Knowledge Hypergraphscited by 2
- 2025Two-dimensional Taxonomy for N-ary Knowledge Representation Learning Methodscited by 1
- 2025Understanding the Embedding Models on Hyper-relational Knowledge Graphcited by 1
- 2025VITA: Versatile Time Representation Learning for Temporal Hyper-Relational Knowledge Graphscited by 0
- 2025Mixture Policy based Multi-Hop Reasoning over N-tuple Temporal Knowledge Graphscited by 0
- 2026THOR: Inductive Link Prediction over Hyper-Relational Knowledge Graphscited by 0
- 2026Life-Bench: A Benchmark and Knowledge Graph Framework for Multimodal Personalization Beyond Concept Recognitioncited by 0
- 2026Generative Representation Learning on Hyper-relational Knowledge Graphs via Masked Discrete Diffusioncited by 0
- 2026Generative Representation Learning on Hyper-relational Knowledge Graphs via Masked Discrete Diffusion22 May 2026
- 2026Life-Bench: A Benchmark and Knowledge Graph Framework for Multimodal Personalization Beyond Concept Recognition22 Feb 2026
- 2026THOR: Inductive Link Prediction over Hyper-Relational Knowledge Graphs5 Feb 2026
- 2025Understanding the Embedding Models on Hyper-relational Knowledge Graph5 Aug 2025
- 2025A Survey of Link Prediction in N-ary Knowledge Graphs10 Jun 2025
- 2025Two-dimensional Taxonomy for N-ary Knowledge Representation Learning Methods5 Jun 2025
- 2025Mixture Policy based Multi-Hop Reasoning over N-tuple Temporal Knowledge Graphs19 May 2025
- 2025VITA: Versatile Time Representation Learning for Temporal Hyper-Relational Knowledge Graphs17 May 2025
- 2025Transformers for Complex Query Answering over Knowledge Hypergraphs23 Apr 2025
- 2025HyperGraphRAG: Retrieval-Augmented Generation via Hypergraph-Structured Knowledge Representation27 Mar 2025
- 2025Inductive Link Prediction on N-ary Relational Facts via Semantic Hypergraph Reasoning26 Mar 2025
- 2024UniHR: Hierarchical Representation Learning for Unified Knowledge Graph Link Prediction11 Nov 2024
17 more
- 2024Generalizing Hyperedge Expansion for Hyper-relational Knowledge Graph Modeling9 Nov 2024
- 2024Replacing Paths with Connection-Biased Attention for Knowledge Graph Completion1 Oct 2024
- 2024Cardinality Estimation on Hyper-relational Knowledge Graphs24 May 2024
- 2024HyperMono: A Monotonicity-aware Approach to Hyper-Relational Knowledge Representation15 Apr 2024
- 2023Text2NKG: Fine-Grained N-ary Relation Extraction for N-ary relational Knowledge Graph Construction8 Oct 2023
- 2023HyperFormer: Enhancing Entity and Relation Interaction for Hyper-Relational Knowledge Graph Completion12 Aug 2023
- 2023Temporal Fact Reasoning over Hyper-Relational Knowledge Graphs14 Jul 2023
- 2023IntelliGraphs: Datasets for Benchmarking Knowledge Graph Generation13 Jul 2023
- 2023Shrinking Embeddings for Hyper-Relational Knowledge Graphs3 Jun 2023
- 2023Representation Learning on Hyper-Relational and Numeric Knowledge Graphs with Transformers29 May 2023
- 2023HAHE: Hierarchical Attention for Hyper-Relational Knowledge Graphs in Global and Local Level11 May 2023
- 2023Few-shot Link Prediction on N-ary Facts10 May 2023
- 2022NQE: N-ary Query Embedding for Complex Query Answering over Hyper-Relational Knowledge Graphs24 Nov 2022
- 2022Learning Representations for Hyper-Relational Knowledge Graphs30 Aug 2022
- 2022DHGE: Dual-View Hyper-Relational Knowledge Graph Embedding for Link Prediction and Entity Typing18 Jul 2022
- 2021What is Event Knowledge Graph: A Survey31 Dec 2021
- 2021Fact-Tree Reasoning for N-ary Question Answering over Knowledge Graphs17 Aug 2021
- 2021What is Event Knowledge Graph: A Surveycited by 19
- 2023Representation Learning on Hyper-Relational and Numeric Knowledge Graphs with Transformerscited by 16
- 2023Shrinking Embeddings for Hyper-Relational Knowledge Graphscited by 12
- 2023Text2NKG: Fine-Grained N-ary Relation Extraction for N-ary relational Knowledge Graph Constructioncited by 11
- 2023HAHE: Hierarchical Attention for Hyper-Relational Knowledge Graphs in Global and Local Levelcited by 10
- 2023Temporal Fact Reasoning over Hyper-Relational Knowledge Graphscited by 10
- 2022Learning Representations for Hyper-Relational Knowledge Graphscited by 8
- 2022DHGE: Dual-View Hyper-Relational Knowledge Graph Embedding for Link Prediction and Entity Typingcited by 7
- 2023HyperFormer: Enhancing Entity and Relation Interaction for Hyper-Relational Knowledge Graph Completioncited by 5
- 2025A Survey of Link Prediction in N-ary Knowledge Graphscited by 4
- 2023IntelliGraphs: Datasets for Benchmarking Knowledge Graph Generationcited by 3
- 2024Cardinality Estimation on Hyper-relational Knowledge Graphscited by 3
12 most cited of 25 All 25 (JSON)
- 2026Life-Bench: A Benchmark and Knowledge Graph Framework for Multimodal Personalization Beyond Concept Recognition22 Feb 2026
- 2026THOR: Inductive Link Prediction over Hyper-Relational Knowledge Graphs5 Feb 2026
- 2025Understanding the Embedding Models on Hyper-relational Knowledge Graph5 Aug 2025
- 2025A Survey of Link Prediction in N-ary Knowledge Graphs10 Jun 2025
- 2025Two-dimensional Taxonomy for N-ary Knowledge Representation Learning Methods5 Jun 2025
- 2025VITA: Versatile Time Representation Learning for Temporal Hyper-Relational Knowledge Graphs17 May 2025
- 2025Transformers for Complex Query Answering over Knowledge Hypergraphs23 Apr 2025
- 2025Inductive Link Prediction on N-ary Relational Facts via Semantic Hypergraph Reasoning26 Mar 2025
- 2024UniHR: Hierarchical Representation Learning for Unified Knowledge Graph Link Prediction11 Nov 2024
- 2024Generalizing Hyperedge Expansion for Hyper-relational Knowledge Graph Modeling9 Nov 2024
- 2024Replacing Paths with Connection-Biased Attention for Knowledge Graph Completion1 Oct 2024
- 2024Cardinality Estimation on Hyper-relational Knowledge Graphs24 May 2024
12 newest of 25 All 25 (JSON)