江苏省应用数学（中国矿业大学）中心系列学术报告
报告题目：A projected Bouligand-Landweber iteration and its acceleration for nonsmooth nonlinear inverse problems
报告人：付振武，哈尔滨工业大学数学学院，副教授
报告时间：2023年 9月17日10:00-11:30
腾讯会议：会议 ID： 871-165-763
报告摘要：In this talk, we propose a projected Bouligand-Landweber iteration for nonsmooth inverse problems. Convergence analysis will be given. In addition, an accelerated Bouligand-Landweber method which is based on projection and Nesterov acceleration will also be considered. This approach incorporates Nesterov acceleration technique into the Bouligand Landweber method whose step sizes are determined by projection. It is designed to solve nonsmooth ill-posed problems and to reduce the computational time. When the data is exact, we show the convergence result of the proposed method. When the data is contaminated by noise, we prove its regularization property by utilizing the concept of asymptotic stability. Moreover, some numerical experiments on nonsmooth inverse problems are performed to demonstrate the efficiency and the acceleration effect of the method.
专家简介：付振武，男，2020年博士毕业于哈尔滨工业大学数学学院，2017-2018年澳大利亚国立大学访问学者。现任哈尔滨工业大学数学学院副教授，硕士生导师。主要研究方向为非线性反问题迭代正则化算法及其在全波形反演中的应用。入选2022年哈尔滨工业大学首届”小米青年学者“。在《Inverse Problems》、《SIAM Journal on Imaging Sciences》、《IMA Journal of Numerical Analysis》等杂志发表SCI论文10余篇，主持国家自然基金青年基金1项，中国博士后面上项目1项，参与国家自然科学基金面上项目3项。