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title abstract openreview software section layout series publisher issn id month tex_title firstpage lastpage page order cycles bibtex_author author date address container-title volume genre issued pdf extras
Multi-Relational Structural Entropy
Structural Entropy (SE) measures the structural information contained in a graph. Minimizing or maximizing SE helps to reveal or obscure the intrinsic structural patterns underlying graphs in an interpretable manner, finding applications in various tasks driven by networked data. However, SE ignores the heterogeneity inherent in the graph relations, which is ubiquitous in modern networks. In this work, we extend SE to consider heterogeneous relations and propose the first metric for multi-relational graph structural information, namely, Multi-relational Structural Entropy (MrSE). To this end, we first cast SE through the novel lens of the stationary distribution from random surfing, which readily extends to multi-relational networks by considering the choices of both nodes and relation types simultaneously at each step. The resulting MrSE is then optimized by a new greedy algorithm to reveal the essential structures within a multi-relational network. Experimental results highlight that the proposed MrSE offers a more insightful interpretation of the structure of multi-relational graphs compared to SE. Additionally, it enhances the performance of two tasks that involve real-world multi-relational graphs, including node clustering and social event detection.
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Papers
inproceedings
Proceedings of Machine Learning Research
PMLR
2640-3498
cao24a
0
Multi-Relational Structural Entropy
532
546
532-546
532
false
Cao, Yuwei and Peng, Hao and Li, Angsheng and You, Chenyu and Hao, Zhifeng and Yu, Philip S.
given family
Yuwei
Cao
given family
Hao
Peng
given family
Angsheng
Li
given family
Chenyu
You
given family
Zhifeng
Hao
given family
Philip S.
Yu
2024-09-12
Proceedings of the Fortieth Conference on Uncertainty in Artificial Intelligence
244
inproceedings
date-parts
2024
9
12