標(biāo)題：Provably convergent plug-and-play splitting methods for nonconvex learning problems with applications
報(bào)告時(shí)間：2024年04月22日（星期一）09:00-10:00
報(bào)告地點(diǎn)：人民大街校區(qū)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院105教室
主講人：吳中明
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
In this talk, I will introduce several splitting methods for nonconvex optimization problems, and then combine them with extrapolation and Plug-and-Play (PnP) prior. Specifically, we investigate the convergence properties and applications of the three-operator splitting method, also known as Davis-Yin splitting (DYS) method, integrated with extrapolation and Plug-and-Play (PnP) denoiser within a nonconvex framework. Our approach provides an algorithmic framework that encompasses both extrapolated forward-backward splitting and extrapolated Douglas-Rachford splitting methods. To establish the convergence of the proposed method, we rigorously analyze its behavior based on the Kurdyka-？ojasiewicz property, subject to some tight parameter conditions. Moreover, we introduce two extrapolated PnP-DYS methods with convergence guarantee, where the traditional regularization prior is replaced by a gradient step-based denoiser. Finally, we conduct extensive experiments on image deblurring and image super-resolution problems, where our results showcase the advantage of the extrapolation strategy and the superior performance of the learning-based model that incorporates the PnP denoiser in terms of achieving high-quality recovery images.
主講人簡(jiǎn)介：
吳中明，南京信息工程大學(xué)副教授，香港中文大學(xué)博士后，東南大學(xué)博士，新加坡國(guó)立大學(xué)訪(fǎng)問(wèn)學(xué)者。研究方向?yàn)樽顑?yōu)化理論、方法及其應(yīng)用。在SIAM Journal on Imaging Sciences, IEEE Transactions on Signal Processing, Computational Optimization and Applications, Journal of Global Optimization, Mathematics of Computation, Annals of Operations Research等期刊發(fā)表/錄用論文三十余篇。入選南京信息工程大學(xué)“青年科技之星”，江蘇省“雙創(chuàng)博士”，人社部博管辦“香江學(xué)者計(jì)劃”。擔(dān)任中國(guó)運(yùn)籌學(xué)會(huì)宣傳工作委員會(huì)委員，中國(guó)運(yùn)籌學(xué)會(huì)數(shù)學(xué)規(guī)劃分會(huì)青年理事，江蘇省運(yùn)籌學(xué)會(huì)理事、副秘書(shū)長(zhǎng)。主持國(guó)家自然科學(xué)青年基金項(xiàng)目，中國(guó)博士后面上資助項(xiàng)目，江蘇省科技智庫(kù)青年項(xiàng)目。
