题目：Incorporating graphical structure of predictors in sparse quantile regression

报告人：林媛媛 助理教授（香港中文大学）

Abstract：

Quantile regression in high dimensional settings is useful in analyzing high dimensional heterogeneous data. In this paper, different from existing methods in quantile regression which treat all the predictors equally with the same priori, we take advantage of the graphical structure among predictors to improve the performance of parameter estimation,  model selection and prediction in sparse quantile regression. It is shown under mild conditions that the proposed method enjoys the model selection consistency and the oracle properties. An alternating direction method of multipliers (ADMM) algorithm with a linearization technique is proposed to implement the proposed method numerically, and its convergence is justified.  Simulation studies are conducted, showing that the proposed method is superior to existing methods in terms of estimation accuracy and predictive power.  The proposed method is also applied to a real dataset.

时间：2019年11月4日（周一）下午14:30-15:30

地点：565net必赢客户端本部教二楼627教室

联系人：周洁

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