应数学与计算科学学院、广西应用数学中心（桂林电子科技大学）及广西高校数据分析与计算重点实验室邀请，广西民族大学简金宝教授将于2026年1月5日来校讲学，欢迎全校师生踊跃参加。报告具体安排如下：

报告主题：An inexact accelerated stochastic PRSM with convex combination proximal centers for separable convex optimization

报告人：简金宝教授

时间：2026年1月5日（星期一）下午16:00

地点：花江慧谷4号楼310报告厅

讲座摘要：In recent years, the Peaceman-Rachford splitting method (PRSM) has garnered significant attention due to the various demands of machine learning and big data relevant optimization. This paper focuses on solving a family of separable convex optimization problems with linear equality constraints, where the objective function is the sum of a convex but possibly nonsmooth function and an average of many smooth convex component functions. To handle this kind of problems, we develop an inexact accelerated stochastic PRSM with convex combination proximal centers (IAS-PRSM-ccpc). The involved smooth subproblem in IAS-PRSM-ccpc is addressed by using a linearization technique and an accelerated stochastic gradient method that incorporates the variance reduction technique, while the nonsmooth subproblem is solved inexactly under a relative error criterion to avoid the potential unavailability of the proximal operator. In addition, the convex combination technique is introduced into the proximal center of each subproblem simultaneously. Moreover, we extend the range of the convex combination parameters from [0.618,1) to [0,1), while still guaranteeing convergence. By an appropriate choice for the sample number of  stochastic iterations in the inner loop, we prove a well ergodic sublinear convergence rates of IAS-PRSM-ccpc in the sense of expectation measured by the function value residual and constraints violation. Under the strong convexity, we further establish the convergence of ergodic iterates in the sense of expectation. Finally, numerical experiments demonstrate that the proposed method is effective for solving separable convex optimization problems.

报告人简介：简金宝，西安交通大学理学博士学位，广西民族大学二级教授，博士生导师。学术研究：长期从事“最优化理论方法及其在电气工程中的应用”研究；先后主持7项国家自然科学基金项目（4项面上），3项广西自然科学基金重点项目和10多项省级项目。2000年以来，以第一作者或第一通信作者身份在高质量期刊上发表研究成果80多篇，如《Journal of Scientific Computing》、《IEEE Transactions on Power Systems》、《European Journal of Operational Research》、《Computational Optimization and Applications》、《Journal of Optimization Theory and Applications》、《Applied Energy》、《中国科学·数学》和《中国电机工程学报》等。获奖与荣誉：主持完成的4项科研成果先后获得省级科学技术奖二等奖，享受国务院政府特殊津贴（2007），“全国教育系统先进工作者”（2009），广西壮族自治区“优秀专家”（2006第五批，2018年第九批）。学术兼职：中国运筹学会第十二届理事会副理事长（2024.10-），中国运筹学会数学规划分会副理事长（2019.05-），广西运筹学会第一届理事会理事长（2021.11-），《计算数学》和《系统科学与数学》等高质量核心期刊现任编委。