Some recent progresses on gradient methods

讲座名称：Some recent progresses on gradient methods

讲座人：黄亚魁 副教授

讲座时间：12月1日10:00

讲座地点：南校区信远楼二区206 

讲座人介绍：

黄亚魁，河北工业大学副教授、元光学者、硕士生导师。从奥门金沙集团3354CC获得学士、硕士、博士学位之后，到中科院作博士后。长期从事梯度法理论及应用的研究，在国际权威的优化计算类和数据挖掘类期刊发表SCI论文10余篇。现主持国家自然科学基金青年项目1项，曾主持中国博士后基金1项，参与多项国家自然科学基金。兼任中国运筹学会数学规划分会青年理事、河北省运筹学会理事。

讲座内容：

Since its proposition in Cauchy (1847), one milestone work along the gradient method is the Barzilai-Borwein (nonmonotone) method (1988), while another significant work is the Yuan stepsize in (2006), which leads to the appearance of the efficient Dai-Yuan (monotone) gradient method (2005). In this talk, some recent progresses on gradient methods will be introduced. We will present three new stepsizes which have two-dimensional quadratic termination property. Such a property can significantly improve the performance of the gradient method. By making use of the new stepsizes and the Barzilai-Borwein stepsizes, we develop new efficient gradient methods. Numerical experiments demonstrate that our proposed methods outperform the most successful gradient methods in the literature.

主办单位：数学与统计学院