Some recent progresses on gradient methods

講座名稱：Some recent progresses on gradient methods

講座人：黃亞魁 副教授

講座時間：12月1日10:00

講座地點：南校區信遠樓二區206 

講座人介紹：

黃亞魁，河北工業大學副教授、元光學者、碩士生導師。從西安電子科技大學獲得學士、碩士、博士學位之后，到中科院作博士后。長期從事梯度法理論及應用的研究，在國際權威的優化計算類和數據挖掘類期刊發表SCI論文10余篇?，F主持國家自然科學基金青年項目1項，曾主持中國博士后基金1項，參與多項國家自然科學基金。兼任中國運籌學會數學規劃分會青年理事、河北省運籌學會理事。

講座內容：

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.

主辦單位：數學與統計學院