Quasi-interpolation for data mining

报告时间:2020年111215:00-16:00

报告地点:红瓦楼726

报告人简介:高文武,安徽大学统计学系副教授、博士生导师。于2012年获得复旦大学应用数学专业博士学位。研究兴趣主要集中在:径向基函数逼近、无网格微分方程数值解、不确定性量化、概率数值逼近等方面。在SIAM J. Numer. Anal., SIAM J. Sci. Comput., Adv. Comput. Math., Appl. Math. Model., Numer. Algor., 等杂志发表SCI论文20余篇。

报告摘要:Quasi-interpolation has been a  useful tool for data mining. In this talk, I shall introduce some recent  developments of quasi-interpolation of our work team, including  constructing kernels with higher-order generalized Strang-Fix  conditions, meshless symplectic schemes for numerical solutions of  partial differential equations based on quasi-interpolation, study and  construction quasi-interpolation under the probabilisitc numerical  framework such as quasi-interpolation for irregularly spaced data,  optimality and regularization properties of quasi-interpolaiton, and so  on.