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arXiv 2202.09464cs.AI
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基于几何代数的静态和时态知识图谱补全嵌入

Geometric Algebra based Embeddings for Static and Temporal Knowledge Graph Completion

Chengjin Xu, Mojtaba Nayyeri, Yung-Yu Chen, Jens Lehmann

摘要:

近年来,知识图谱嵌入(KGEs)通过将知识图谱(KG)中的实体和关系映射到几何空间中,在链接预测任务中表现出了良好的性能,因此受到了越来越多的关注。此外,许多最近的知识图谱涉及演变数据,例如,事实(\textit{Obama},\textit{PresidentOf},\textit{USA})仅在2009年至2017年有效。这为知识表示学习带来了重要的挑战,因为这种时间KG随时间而变化。在这项工作中,我们努力超越KGE的复杂或超复杂空间,并提出了一种新的基于几何代数的嵌入方法,GeomE,它使用多向量表示和几何积来建模实体和关系。GeomE包含了几个最先进的KGE模型,能够模拟不同的关系模式。在此基础上,我们将GeomE扩展到TGeomE的时间KGE,它执行四阶张量分解的时间KG,并设计了一个新的线性时间正则化的时间表示学习。此外,我们还研究了时间粒度对TGeomE模型性能的影响。实验结果表明,我们提出的模型实现了最先进的性能链接预测在四个常用的静态KG数据集和四个完善的时间KG数据集在各种指标。

英文摘要:

Recent years, Knowledge Graph Embeddings (KGEs) have shown promising performance on link prediction tasks by mapping the entities and relations from a Knowledge Graph (KG) into a geometric space and thus have gained increasing attentions. In addition, many recent Knowledge Graphs involve evolving data, e.g., the fact (\textit{Obama}, \textit{PresidentOf}, \textit{USA}) is valid only from 2009 to 2017. This introduces important challenges for knowledge representation learning since such temporal KGs change over time. In this work, we strive to move beyond the complex or hypercomplex space for KGE and propose a novel geometric algebra based embedding approach, GeomE, which uses multivector representations and the geometric product to model entities and relations. GeomE subsumes several state-of-the-art KGE models and is able to model diverse relations patterns. On top of this, we extend GeomE to TGeomE for temporal KGE, which performs 4th-order tensor factorization of a temporal KG and devises a new linear temporal regularization for time representation learning. Moreover, we study the effect of time granularity on the performance of TGeomE models. Experimental results show that our proposed models achieve the state-of-the-art performances on link prediction over four commonly-used static KG datasets and four well-established temporal KG datasets across various metrics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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