题目：Quasi-interpolation for data mining

汇报人：高文武

会议时间：2024年5月17日15:00-15:50

地点：综合楼644会议室

报告人简介：高文武，安徽大学拔尖人才，安徽大学大数据与统计学院学术委员会主任、教授、博士生导师、副院长、应用统计专硕硕士点负责人。复旦大学应用数学博士，上海宝钢研究院与复旦大学管理学院联合工作站博士后。美国科罗拉多矿业大学应用数学与统计学做访问副教授。研究工作为概率数值逼近、不确定量化、统计计算等。先后获得国家自然科学基金3项。在数据科学领域国际重要期刊Applied and Computational Harmonic Analysis (ACHA), SIAM Journal on Numerical Analysis(SINUM), SIAM Journal on Scientific Computing (SISC)上发表多篇学术论文。

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.