报告时间：6月23日下午14：00—15:00
报告地点：统计楼105报告厅
报告人：Li Daoji, University of Central Florida统计系助教授、英国曼彻斯特大学统计系博士、美国南加州大学商学院博士后
报告题目：Interaction Pursuit with Feature Screening and Selection
报告摘要：Understanding how features interact with each other is of paramount importance in many scientific discoveries and contemporary applications. Yet interaction identification becomes challenging even for a moderate number of covariates. In this paper, we suggest an efficient and flexible procedure, called the interaction pursuit (IP), for interaction identification in ultra-high dimensions. The suggested method first reduces the number of interactions and main effects to a moderate scale by a new feature screening approach, and then selects important interactions and main effects in the reduced feature space using regularization methods. Compared to existing approaches, our method screens interactions separately from main effects and thus can be more effective in interaction screening. Under a fairly general framework, we establish that for both interactions and main effects, the method enjoys the sure screening property in screening and oracle inequalities in selection. Our method and theoretical results are supported by several simulation and real data examples.