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arXiv 2404.09155cs.LGcs.AIcs.CL
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通过李群流形缓解因子张量间的异质性,用于基于张量分解的时序知识图谱嵌入

Mitigating Heterogeneity among Factor Tensors via Lie Group Manifolds for Tensor Decomposition Based Temporal Knowledge Graph Embedding

College of Computer Science, Inner Mongolia University(内蒙古大学计算机学院);National & Local Joint Engineering Research Center of Intelligent Information Processing Technology for Mongolian(蒙古智能信息处理技术国家地方联合工程研究中心)

Jiang Li, Xiangdong Su, Guanglai Gao

AI总结:

针对时序知识图谱嵌入中因子张量异质性损害融合与链接预测的问题,本文提出将因子张量映射至统一光滑李群流形,给出理论证明并无额外参数地增强现有张量分解模型。

摘要:

近期研究突显了张量分解方法在时序知识图谱嵌入(Temporal Knowledge Graphs Embedding,TKGE)任务中的有效性。然而,我们发现张量分解中因子张量之间固有的异质性显著阻碍了张量融合过程,并进一步限制了链接预测的性能。为克服这一局限,我们提出一种新方法,将因子张量映射到统一的光滑李群流形上,使张量分解中的因子张量分布近似同质。我们为这一动机提供了理论证明:在基于张量分解的TKGE方法中,同质张量在张量融合和逼近目标方面比异质张量更有效。所提方法可直接集成到现有的基于张量分解的TKGE方法中,且不会引入额外参数。大量实验证明了该方法在缓解异质性以及增强基于张量分解的TKGE模型方面的有效性。

英文摘要:

Recent studies have highlighted the effectiveness of tensor decomposition methods in the Temporal Knowledge Graphs Embedding (TKGE) task. However, we found that inherent heterogeneity among factor tensors in tensor decomposition significantly hinders the tensor fusion process and further limits the performance of link prediction. To overcome this limitation, we introduce a novel method that maps factor tensors onto a unified smooth Lie group manifold to make the distribution of factor tensors approximating homogeneous in tensor decomposition. We provide the theoretical proof of our motivation that homogeneous tensors are more effective than heterogeneous tensors in tensor fusion and approximating the target for tensor decomposition based TKGE methods. The proposed method can be directly integrated into existing tensor decomposition based TKGE methods without introducing extra parameters. Extensive experiments demonstrate the effectiveness of our method in mitigating the heterogeneity and in enhancing the tensor decomposition based TKGE models.

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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