报告题目:交替方向乘子法的若干进展
报 告 人:党亚峥
报告时间:11月29日9:00-11:00
报告地点:腾讯会议876-502-8125
主办单位:科研管理处 数学科学学院
报告人简介:党亚峥,上海理工大学副教授、硕士生导师,新加坡国立大学、科廷大学访问学者。主要研究领域为金融优化、智能优化,Journal of Industrial and management optimization,Journal of Optimization Theory and Applications等知名期刊审稿人,美国数学评论特约评论员,主持省部级以上科研项目10余项。
报告内容简介:The alternating direction method of multipliers (ADMM) is one of the most powerful and successful methods for solving various nonconvex consensus problem. The convergence of the conventional ADMM (i.e., 2-block) for convex objective functions has been stated for a long time. As an accelerated technique, the inertial effect was used by many authors to solve 2-block convex optimization problem. This paper combines the ADMM and the inertial effect to construct an inertial alternating direction method of multipliers (IADMM) to solve the multi-block nonconvex consensus problem and shows the convergence under some suitable conditions. Simulation experiment verifies the effectiveness and feasibility of the proposed method.