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Nonlinear Interaction Detection Through Model-based Dimension Reduction
澳门新葡8455最新网站:2017年05月04日 09:19 点击数:

报告人:朱利平

报告地点:澳门新葡8455最新网站四楼学术报告厅

报告澳门新葡8455最新网站:2017年05月06日星期六15:30-16:00

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报告摘要:

We propose an efficient model-based sufficient dimension reduction method to detect interactions. We introduce a new class of multivariate adaptive varying index models (MAVIM) to investigate nonlinear interaction effects of the grouped covariates on multivariate response variables. Grouping the covariates through linear combinations in the MAVIM accommodates weak individual interaction effects as long as their joint interaction effects are strong enough to be detectable. This is the first attempt in the area of sufficient dimension reduction which reduces the dimension of the covariates in a model-based fashion. We estimate the joint interaction effects by a weighted profile least squares method, which is numerically stable and computationally fast. The resultant profile least squares estimate is root-$n$ consistent and asymptotically normal. We also investigate how to choose an optimal weight to improve the estimation efficiency. We determine the structural dimension with a BIC-type criterion, and establish its consistency. The effectiveness of our proposed method is illustrated through comprehensive simulation studies and an analysis of Framingham heart study.

 

主讲人概况:

朱利平现任教于中国人民大学,教授,国家“万人计划”青年拔尖人才,获国家优秀青年科学基金支撑。

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