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荔园学者Colloquium第一百七十五期

讲座题目：Semiparametric Elliptical Mixture Clustering for High Dimensional Data

主讲人：冯龙 教授（南开大学）

讲座时间：2026年6月26日16:00-17:00

讲座地点：深圳大学粤海校区汇星楼一号教室

内容摘要：Clustering high-dimensional data is especially challenging when cluster distributions are heavy tailed and only approximately elliptical. Existing high-dimensional methods are largely built for Gaussian or other light-tailed models, whereas classical robust elliptical procedures are mostly low dimensional or fully parametric. We propose a semiparametric elliptical mixture clustering framework with cluster-specific centers, an unknown common radial generator, and a common sparse precision-shape matrix, together with a data-driven rule for selecting the number of clusters. The method avoids specifying a parametric radial family and remains computationally feasible in high dimensions. We establish high-dimensional consistency for the estimated model components and the excess misclustering error. Simulations and a handwritten-digit application show strong performance, particularly under heavy-tailed elliptical components.

主讲人简介：冯龙现任南开大学统计与数据科学学院教授、博士生导师。入选教育部青年人才计划、南开大学百名青年学科带头人。主要从事高维数据分析方面的研究，在统计学国际顶尖杂志JRSSB, JASA、Biometrika、Annals of Statistics、JOE、JBES等发表50余篇论文。主持一项天津市杰出青年基金、国家自然科学基金面上项目和青年项目。担任Statistical Theory and Related Field副主编。

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　　　　　　　　　　　　　　　　　　　　 2026年6月10日