统计与数据科学系系列学术报告之四百九十三期

时间：2025年11月28日（周五）10:00-10:45

主持人：复旦大学管理学院统计与数据科学系沈娟副教授

地点：史带楼302室

报告人：Prof. Emma Jingfei Zhang 张菁菲教授

Emory University

题目：Modeling Hypergraphs Using Determinantal Point Processes

摘要： Most statistical models for networks focus on pairwise interactions between nodes. However, many real-world networks feature higher-order interactions involving multiple nodes, such as co-authors collaborating on a paper. Hypergraphs provide a natural representation for these networks, with each hyperedge representing a set of nodes. The majority of existing hypergraph models assume uniform hyperedges, that is, edges are of the same size, or are driven by diversity amongst nodes. In this work, we propose a new hypergraph model formulated based on non-symmetric determinantal point processes. The proposed model naturally accommodates non-uniform hyperedges, has tractable probability mass functions, and allows for node similarity or diversity in hyperedges. For model estimation, we maximize the likelihood function under constraints via a computationally efficient projected adaptive gradient descent algorithm and establish the consistency and asymptotic normality of the estimator. Simulation studies confirm the efficacy of the proposed model, and its utility is further demonstrated through edge predictions on several real-world datasets.

个人简介：Dr. Emma Jingfei Zhang is Goizueta Foundation Chair Professor of Information Systems & Operations Management at the Goizueta Business School of Emory University. Dr. Zhang’s research focuses on analyzing large networks, tensors and point processes, with applications in business, public health and biomedical research. She is an elected member of the International Statistical Institute. She is currently serving as associate editors at Journal of the American Statistical Association, Annals of Applied Statistics, Statistica Sinica, and Journal of Computational and Graphical Statistics.