Papers with geometric product
Knowledge Graph Embeddings in Geometric Algebras (2020.coling-main)
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| Challenge: | Existing knowledge graph embedding approaches model entities and relations in KGs using real-valued, complex-value, or hypercomplex-value representations. |
| Approach: | They propose a geometric algebra-based KG embedding framework which uses multivector representations and the geometric product to model entities and relations. |
| Outcome: | The proposed framework outperforms state-of-the-art models for link prediction. |
TeCES: Collaborative Geometric Knowledge Representation Framework under Evolving Fact Snapshots (2026.acl-long)
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Jiujiang Guo, Zhengliang Guo, Kai Wang, Meiyang Wang, Dehua Peng, Shaozu Yuan, Chengyin Hu, Shuan Ai, Yiwei Wei
| Challenge: | Existing knowledge graphs represent static facts but lack collaborative modeling of both . e.g., existing knowledge graph models lack a framework for integrating snapshots into knowledge graph. |
| Approach: | They propose a framework for high-fidelity modeling of evolving snapshots using concept of snapshots. |
| Outcome: | The proposed framework outperforms existing models on six benchmarks. |