报告题目：Frechet Sufficient Dimension Reduction

报 告 人：於州 教授 华东师范大学

报告时间：2021年5月27日 13:00-14:00

报告地点：澳门永利官网总站入口老网址第二报告厅

校内联系人：朱复康 fzhu@jlu.edu.cn

报告摘要：We in this paper consider Frechet sufficient dimension reduction with responses being complex random objects in a metric space and high dimension Euclidean predictors. We propose a novel approach called weighted inverse regression ensemble method for linear Frechet sufficient dimension reduction. The method is further generalized as a new operator defined on reproducing kernel Hilbert spaces for nonlinear Frechet sufficient dimension reduction. We provide theoretical guarantees for the new method via asymptotic analysis. Intensive simulation studies verify the performance of our proposals. And we apply our methods to analyze the handwritten digits data and the real-world affective faces data to demonstrate its use in real applications.

报告人简介：於州，华东师范大学教授、博士生导师、华东师范大学经济与管理学部副主任，国家青年人才计划入选者。主要研究方向为高维数据统计分析及统计机器学习，在Annals of Statistics, Biometrika, Journal of the American Statistical Association等知名统计期刊上发表论文40余篇。曾主持国家自然科学基金青年、面上项目，获得第十届国家统计局统计科研成果二等奖，上海市自然科学奖二等奖，并入选上海市青年科技启明星、上海高校东方学者特聘教授、上海市青年拔尖人才。