Confidence Regions for Stochastic Variational Inequalities: Stochastic Approximation Based
报告人:刘永朝
报告地点:腾讯会议ID:889 864 8458
报告时间:2022年10月25日星期二14:00-15:00
邀请人:徐东坡
报告摘要:
In this talk, we discuss the framework of constructing asymptotic confidence regions for the true solution of stochastic variational inequalities problem (SVIP) with a focus on stochastic dual average method. We first establish the asymptotic normality of the solutions both in ergodic sense and non-ergodic sense. Then the online methods of estimating the covariance matrices in the normal distributions are studied. Finally, practical procedures of building the asymptotic confidence regions of solutions to SVIP with numerical simulations are presented.
会议密码:115119
主讲人简介:
刘永朝,大连理工大学数学科学学院教授、博士生导师。2005年和2008年于大连海事大学数学系获得学士和硕士学位,2011年于大连理工大学数学科学学院获得博士学位, 2014年11月至2016年4月在南安普顿大学从事博士后研究。刘永朝主要研究方向为随机最优化,主持国家自然科学基金3项,发表学术论文二十余篇,部分论文发表于Mathematical Programming,SIAM Journal on Optimization,Mathematics of Operations Research,SIAM Journal on Numerical Analysis期刊。