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HEHRGNN: A Unified Embedding Model for Knowledge Graphs with Hyperedges and Hyper-Relational Edges

arXiv:2602.18897v1 Announce Type: new Abstract: Knowledge Graph(KG) has gained traction as a machine-readable organization of real-world knowledge for analytics using artificial intelligence systems. Graph Neural Network(GNN), is proven to be an effective KG embedding technique that enables various downstream tasks like link prediction, node classification, and graph classification. The focus of research in both KG embedding and GNNs has been mostly oriented towards simple graphs with binary relations. However, real-world knowledge bases have a significant share of complex and n-ary facts that cannot be represented by binary edges. More specifically, real-world knowledge bases are often a mix of two types of n-ary facts - (i) that require hyperedges and (ii) that require hyper-relational edges. Though there are research efforts catering to these n-ary fact types, they are pursued independently for each type. We propose $H$yper$E$dge $H$yper-$R$elational edge $GNN$(HEHRGNN), a unified

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Rajesh Rajagopalamenon, Unnikrishnan Cheramangalath
· · 1 min read · 3 views

arXiv:2602.18897v1 Announce Type: new Abstract: Knowledge Graph(KG) has gained traction as a machine-readable organization of real-world knowledge for analytics using artificial intelligence systems. Graph Neural Network(GNN), is proven to be an effective KG embedding technique that enables various downstream tasks like link prediction, node classification, and graph classification. The focus of research in both KG embedding and GNNs has been mostly oriented towards simple graphs with binary relations. However, real-world knowledge bases have a significant share of complex and n-ary facts that cannot be represented by binary edges. More specifically, real-world knowledge bases are often a mix of two types of n-ary facts - (i) that require hyperedges and (ii) that require hyper-relational edges. Though there are research efforts catering to these n-ary fact types, they are pursued independently for each type. We propose $H$yper$E$dge $H$yper-$R$elational edge $GNN$(HEHRGNN), a unified embedding model for n-ary relational KGs with both hyperedges and hyper-relational edges. The two main components of the model are i)HEHR unified fact representation format, and ii)HEHRGNN encoder, a GNN-based encoder with a novel message propagation model capable of capturing complex graph structures comprising both hyperedges and hyper-relational edges. The experimental results of HEHRGNN on link prediction tasks show its effectiveness as a unified embedding model, with inductive prediction capability, for link prediction across real-world datasets having different types of n-ary facts. The model also shows improved link prediction performance over baseline models for hyperedge and hyper-relational datasets.

Executive Summary

The article proposes HEHRGNN, a unified embedding model for knowledge graphs with hyperedges and hyper-relational edges. It introduces a novel message propagation model capable of capturing complex graph structures, demonstrating effectiveness in link prediction tasks across real-world datasets. The model shows improved performance over baseline models, with inductive prediction capability for link prediction across different types of n-ary facts.

Key Points

  • Introduction of HEHRGNN, a unified embedding model for knowledge graphs
  • Proposal of a novel message propagation model for capturing complex graph structures
  • Demonstration of effectiveness in link prediction tasks across real-world datasets

Merits

Unified Representation

HEHRGNN provides a unified representation format for hyperedges and hyper-relational edges, enabling the model to capture complex graph structures and relationships.

Improved Performance

The model demonstrates improved link prediction performance over baseline models for hyperedge and hyper-relational datasets, showcasing its effectiveness in handling complex knowledge graphs.

Demerits

Computational Complexity

The novel message propagation model may introduce additional computational complexity, potentially impacting the model's scalability and efficiency.

Expert Commentary

The introduction of HEHRGNN marks a significant step forward in knowledge graph embedding, as it provides a unified framework for representing and capturing complex relationships in real-world knowledge bases. The model's ability to handle both hyperedges and hyper-relational edges demonstrates its flexibility and potential for application in various domains. However, further research is necessary to fully explore the model's capabilities and address potential limitations, such as computational complexity.

Recommendations

  • Further investigation into the scalability and efficiency of HEHRGNN, particularly in large-scale knowledge graphs
  • Exploration of the model's applicability to various downstream tasks and domains, such as question answering and recommender systems

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