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arXiv 2003.06665physics.soc-phcond-mat.stat-mechcs.SIphysics.data-an
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Complementarity in Complex Networks

Gabriel Budel, Maksim Kitsak

英文摘要:

In many networks, including networks of protein-protein interactions, interdisciplinary collaboration networks, and semantic networks, connections are established between nodes with complementary rather than similar properties. While complementarity is abundant in networks, we lack mathematical intuition and quantitative methods to study complementarity mechanisms in these systems. In this work, we close this gap by providing a rigorous definition of complementarity and developing geometric complementarity frameworks for modeling and inference tasks on networks. We demonstrate the utility of complementarity frameworks by learning geometric representations of several real systems. Complementarity not only offers novel practical analysis methods but also enhances our intuition about formation mechanisms in networks on a broader scale and calls for a careful re-evaluation of existing similarity-inspired methods.

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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