報(bào)告人：龐志峰 河南大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院, 副教授
地點(diǎn)：研究生樓104
題目及摘要如下：
（一）5月26日：14:30-15:30
Proximal point method for a hybrid model in image restoration and image segmentation

Abstract: In this report we propose a hybrid total-variation-type model for the image restoration  problem based on combining advantages of  the ROF model with the LLT model.  Since two $L^1$-norm terms in the proposed model make it be difficultly solved by  using some classically numerical methods directly, we first employ the alternating direction method of multipliers (ADMM) to solve a general form  of proposed model. Then, based on the ADMM and the Moreau-Yosida decomposition theory, a more efficient method called the proximal point method (PPM) is proposed and the convergence of the proposed method  is proved. Some numerical results demonstrate the viability and efficiency of the proposed model and methods.

（二）5月26日：15:30-16:30
Unsupervised Data Clustering Based on Mumford-Shah-Potts Model

Abstract: The performance of data clustering highly relies on proposed models and  numerical algorithms. Following from the extension of the Mumford-Shah-Potts model in the spatially continuous setting, we  propose some efficient data clustering algorithms to solve it based on the alternating direction method of multipliers and the primal-dual method.  The convergence of the proposed data clustering algorithms is established  under the framework of variational inequalities. Some balanced and unbalanced clustering problems are tested, which demonstrate the efficiency of the proposed algorithms.

個(gè)人簡介：龐志峰，博士，2010年博士畢業(yè)與湖南大學(xué)數(shù)學(xué)與計(jì)量經(jīng)濟(jì)學(xué)院, 2010.06-2011.03為南洋理工大學(xué)數(shù)學(xué)物理學(xué)院博士后, 2011.12-2012.12為香港城市大學(xué)電腦科學(xué)系做博士后, 2014年2月-2014年8月在中科院數(shù)學(xué)與系統(tǒng)科學(xué)研究生院做訪問學(xué)者, 現(xiàn)為河南大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院, 副教授，碩士生導(dǎo)師。主要研究圖像處理和機(jī)器學(xué)習(xí)中的數(shù)學(xué)理論與數(shù)值算法, 主持和參與國家自然科學(xué)基金各一項(xiàng),參與河南省科技廳項(xiàng)目和國家973項(xiàng)目各一項(xiàng)。 現(xiàn)任雜志《Journal of Computational Intelligence and Electronic Systems》、《 International Journal of Numerical  Methodsand  Appli cations》和《圖像與信號(hào)處理》的編委，美國《數(shù)學(xué)評(píng)論》(MR)評(píng)論員，已發(fā)表相關(guān)論文16篇(其中SCI收錄11篇，EI收錄3篇)。