江蘇省應用數學（中國礦業大學）中心系列學術報告
報告題目：A projected Bouligand-Landweber iteration and its acceleration for nonsmooth nonlinear inverse problems
報告人：付振武，哈爾濱工業大學伟德bv，副教授
報告時間：2023年 9月17日10:00-11:30
騰訊會議：會議 ID： 871-165-763
報告摘要：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.
專家簡介：付振武，男，2020年博士畢業于哈爾濱工業大學伟德bv，2017-2018年澳大利亞國立大學訪問學者。現任哈爾濱工業大學伟德bv副教授，碩士生導師。主要研究方向為非線性反問題疊代正則化算法及其在全波形反演中的應用。入選2022年哈爾濱工業大學首屆”小米青年學者“。在《Inverse Problems》、《SIAM Journal on Imaging Sciences》、《IMA Journal of Numerical Analysis》等雜志發表SCI論文10餘篇，主持國家自然基金青年基金1項，中國博士後面上項目1項，參與國家自然科學基金面上項目3項。