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Estimating the number of significant components in high-dimensional PCA
时间:2021年11月27日 09:06 点击数:

报告人:张博

报告地点:腾讯会议ID:722212036

报告时间:2021年12月1日星期三9:30-10:30

邀请人:胡江

报告摘要:

We consider the problem of estimating the number of significant components in high-dimensional principal component analysis (PCA). We propose a new penalized approach using the explained variance ratio and the ratio of the adjacent eigenvalues of sample covariance matrices of p variables. We show the consistency of the estimator for different types of data matrices including independent data and some times series data when the dimension p and the sample size n both tend to infinity with their ratio being a positive constant. Hence it works under weaker conditions than some existing approaches such as AIC and BIC. Simulation studies are also conducted to illustrate its performance.  It's a joint work with Zhixiang Zhang and Guangming Pan.

 

主讲人简介:

张博于新加坡南洋理工大学获得博士学位,曾在澳大利亚莫纳什大学从事博士后工作,现任中国科学技术大学统计与金融系特任副教授。主要研究领域包括大维随机矩阵,高维时间序列和复杂网络问题,已有两篇论文发表于Annals of Statistics.

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