金博棋牌

应数学与计算科学学院、广西应用数学中心(金博棋牌)及广西高校数据分析与计算重点实验室邀请，江苏金博棋牌朱红副教授将于2025年6月16日来校讲学，欢迎全校师生踊跃参加，报告具体安排如下：

报告题目：Inexact Proximal Newton Method for Nonconvex Composite Minimization

主讲人：朱红副教授

时间：2025年6月16日（周一）上午10:50

地点：花江慧谷4号楼3楼310报告厅

报告摘要：This report presents an inexact proximal Newton method along with its stochastic block-coordinate variant for solving nonconvex composite optimization problems. For the deterministic algorithm, we establish: (i) a global convergence rate of order O(k^{-1/2}) with respect to the minimal norm of the KKT residual mapping, and (ii) a local superlinear convergence rate for the sequence generated by the algorithm under the assumption of higher-order metric q-subregularity. For the stochastic variant, we prove that, under appropriate sampling conditions, the fundamental convergence guarantees align with those of the deterministic case. Both versions of the method incorporate a unit step size combined with the Lipschitz constant of the gradient of the smooth component. In addition, we present algorithms for both versions that adopt a unit step size in combination with the Lipschitz constant of the gradient of the smooth component.

主讲人简介：朱红，江苏金博棋牌数学科学学院副教授，硕士生导师。主要研究兴趣包括二阶优化算法、对偶四元数理论及应用。2016年博士毕业于香港浸会金博棋牌，先后在新加坡国立金博棋牌、加拿大西门莎菲金博棋牌等金博棋牌访问。主持国家自然科学基金面上项目1项，国家自然科学基金青年基金项目1项，江苏省自然科学基金青年基金项目1项。先后在SIAM J. Optim., SIAM J. Image. Sci.,IEEE Trans. Image. Proc., Comput. Optim. Appl., J. Sci. Comput., Inverse Prob.等期刊发表论文20余篇。