应数学与统计学院概率统计研究所邀请，暨南大学经济学院刘一鸣副教授将于2025年7月21-27日访问我校并作学术报告，欢迎全校师生参加。

报告题目：Identify the source of spikes: factor or mixture?

时 间：7月22日（星期二）下午2:30

地 点：理工楼631

报告摘要：We consider the problem of identifying the pattern of latent variables in high-dimensional linear latent variable models, which can also be interpreted as determining the source of spiked singular values in the data matrix. Specifically, we test whether the latent variables are continuous or categorical, a distinction which is crucial for data interpretation but challenging when the dimensionality is comparable to the sample size. To address this inference problem, we analyze the asymptotic behavior of empirical measures associated with singular vectors corresponding to large spiked singular values. Leveraging these insights, we propose a novel test statistic based on the eigenvector quantile differences and establish its theoretical performance under the null hypothesis. Simulation studies and real data analyses for breast cancer and glioblastoma gene expression datasets demonstrate the effectiveness and practical utility of our method.

报告人简介

刘一鸣，暨南大学经济学院副教授。目前主要研究方向：机器学习、随机矩阵、经验似然及其相关应用等。主持国自然科学基金，广东省自然科学面上基金等项目。至今已在《IEEE Transactions on Information Theory》、《Bernoulli》、《Statistica Sinica》、《Scandinavian Journal of Statistics》等杂志发表论文15篇。

甘肃应用数学中心

兰州大学大数据科学研究中心

兰州大学数学与统计学院

兰州大学萃英学院

2025年7月20日