题    目：Acceleration of optimization algorithms via damped charged particle dynamics

报告人：袁功林 教授

单   位：广西大学

时   间：2025年5月26日 16:30

地   点：龙子湖校区九章学堂南楼C座209

摘要：In this talk, the convergence analysis of accelerated second-order methods for convex optimization problems is developed from the point of view of autonomous dissipative inertial continuous dynamics in the magnetic field. Different from the classical heavy ball model with damping, we consider the motion of a charged particle in a magnetic field model involving the linear asymptotic vanishing damping. In order to develop fast optimization methods, our first contribution is to prove the global existence and uniqueness of a smooth solution under certain regularity conditions of this system via the Banach fixed point theorem. Our second contribution is to establish the convergence rate of corresponding algorithms involving inertial features via discrete time versions of inertial dynamics under the magnetic field. Meanwhile, the connection of algorithms between the heavy ball model and the motion of a charged particle in a magnetic field model is established.

报告人简介：广西大学数学与信息科学学院，教授，博导，副院长，广西应用数学中心（广西大学）常务副主任，国家一流专业负责人；主要从事优化理论与方法及其应用方面研究，主持国家基金、广西杰出青年基金、广西重点基金、中央主导地方科技发展基金、广西科技基地和人才专项基金等项目；宝钢教育奖，广西十百千第二层次人选，广西特聘青年专家，广西卓越学者计划人选，南宁市高层次人才；以第一或通讯作者发表SCI论文60余篇，成果发表在SIAM J. Optim.，COAP，JOTA，JOGO，EXPERT SYST APP，STAT COMPUT等期刊，其中0.1%论文2篇、1%论文6篇、专著2部；入选2024全球2%顶尖科学家榜单，获得广西自然科学二等奖2项；任中国数学会理事、中国运筹学会理事、中国运筹学会数学规划分会理事、中国运筹学会算法软件与应用分会理事、广西数学会常务理事、广西运筹学会副理事长。