Curvatures of hypergraphs with applications in hypergraph community detection
来源:
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发布时间:2026-05-15
报告时间:
2026年5月16日(周六)上午10:30-11:30
报告地点:
国交2号楼315会议室
报告人:
赵亮
报告人单位:
北京师范大学
邀请人:
刘磊
摘要:
We first introduce definitions of Ollivier and Lin-Lu-Yau curvatures of hypergraphs. Next, we define a hypergraph Ricci flow that directly operates on higher-order interactions of hypergraphs and prove long-time existence of the flow. As applications, we focus on community detection in hypergraphs, which is both instrumental for functional module identification and intricate due to higher-order interactions among nodes of hypergraphs...