講座主題：How to make model-free feature screening approaches for full data applicable to the case of missing response
專家姓名：王啟華
工作單位：中國科學院
講座時間：2018年3月21日14:00
講座地點：數學院大會議室
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
It is quite challenge to develop model-free feature screening approaches for missing response problems since the existing standard missing data analysis methods cannot be applied directly to high dimensional case. This paper develops some novel methods by borrowing information of missingness indicators such that any feature screening procedures for ultrahigh-dimensional covariates with full data can be applied to missing response case. The first method is the so-called missing indicator imputation screening, which is developed by proving that the set of the active predictors of interest for the response is a subset of the active predictors for the product of the response and missingness indicator under some mild conditions. As an alternative, another method called Venn diagram based approach is also developed. The sure screening property is proven for both methods. It is shown that the complete case analysis can also keep the sure screening property of any feature screening approach with sure screening property.
主講人介紹：
王啟華，中國科學院核心骨干特聘研究員，博士生導師，國家杰出青年基金獲得者，教育部長江學者獎勵計劃特聘教授，中科院“百人計劃”入選者，國際統計研究會當選會員（elected member）, 先后訪問加拿大Carleton大學、California大學戴維斯分校、California大學洛杉磯分校、美國Yale大學、美國華盛頓大學、美國西北大學、德國Humboldt大學、澳大利亞國立大學及澳大利亞悉尼大學等。主要從事生存分析、缺失數據分析、高維數據統計分析及非-半參數統計推斷等方面的研究。出版專著兩部，發表論文百余篇，其中90多篇發表在 The Annals of Statistics, JASA及Biometrika等國際重要刊物， 2014、2015、2016與2017連續4年被Elsevier列入中國高被引學者榜單, 是一些國際與國內刊物的主編與編委。
