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Curvatures of hypergraphs with applications in hypergraph community detection

发布时间:2026-05-14 作者: 浏览次数:
Speaker: 赵亮 DateTime: 2026年5月23日 (周六)上午10:30-11:30
Brief Introduction to Speaker:

赵亮,北京师范大学

Place: 国交2号楼315会议室
Abstract: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...