报告题目：Preconditioned three-operator splitting algorithm with applications to image restoration

报告人：唐玉超，广州大学

报告时间：2023年11月16日（周四）10:00-11:00

报告地点：腾讯会议：775-787-959

报告摘要：In this work, we present primal-dual splitting algorithms for the convex minimization problem involving smooth functions with Lipschitzian gradient, finite sum of nonsmooth proximable functions, and linear composite functions. Many total variation-based image processing problems are special cases of such problems. The obtained primal-dual splitting algorithms are derived from a preconditioned three-operator splitting algorithm applied to primal-dual optimality conditions in a proper product space. The convergence of the proposed algorithms under appropriate assumptions on the parameters has been proved. Numerical experiments on a novel image restoration problem are presented to demonstrate the efficiency and effectiveness of the proposed algorithms.

报告人简介：唐玉超，男，广州大学数学与信息科学学院，教授。2013年西安交通大学数学与统计学院博士毕业。主要研究方向图像处理中的优化模型和算法及其应用。在研国家自然科学基金项目1项，主持完成国家自然科学基金地区项目和国家自然科学基金青年项目各1项。已在《CSIAM Transactions on Applied Mathematics》、《Journal of Scientific Computing》，《Inverse Problems and Imaging》、《Set-Valued and Variational Analysis》和《中国科学数学》等国内外知名期刊发表SCI收录论文30余篇。

邀请人：王元恒