首师大高端统计论坛

报告题目：An Asymptotic Analysis of Random Partition Based Minibatch Momentum Methods for Linear Regression Models

报告人：王汉生 教授（北京大学）

摘要：Momentum   methods have been shown to accelerate the convergence of the standard   gradient descent algorithm in practice and theory. In particular, the random   partition based minibatch gradient descent methods with momentum (MGDM) are   widely used to solve large-scale optimization problems with massive datasets.   Despite the great popularity of the MGDM methods in practice, their   theoretical properties are still underexplored. To this end, we investigate   the theoretical properties of MGDM methods based on the linear regression models.   We first study the numerical convergence properties of the MGDM algorithm and   derive the conditions for faster numerical convergence rate. In addition, we   explore the relationship between the statistical properties of the resulting   MGDM estimator and the tuning parameters. Based on these theoretical   findings, we give the conditions for the resulting estimator to achieve the   optimal statistical efficiency. Finally, extensive numerical experiments are   conducted to verify our theoretical results.

报告人简介：王汉生，北京大学光华管理学院商务统计与经济计量系，教授，博导。国家杰出青年基金获得者，教育部长江学者特聘教授，全国工业统计学教学研究会青年统计学家协会创始会长，美国统计学会（ASA）Fellow，国际统计协会（ISI） Elected Member。先后历任9个国际学术期刊副主编（Associate Editor）。在国内外各种专业杂志上发表文章100+篇，并合著有英文专著共1澳门沙金在线平台本，（合）著中文教材4澳门沙金在线平台本。爱思唯尔中国高被引学者学者（数学类，2014-2019；应用经济学类：2020；统计学类2021）。

时间：2022年12月30日（周五）下午15：00

线上参加：#腾讯会议 523-3915-6716

联系人：周洁

举办单位：澳门沙金在线平台、交叉科学学院、北京国家应用数学中心