一号棋牌室全拼音与大一号棋牌室全拼音一号棋牌室全拼音准聘一号棋牌室全拼音代一号棋牌室全拼音与2023届一号棋牌室全拼音宋妍博士、阿卜杜拉国王科技大学Marc G. Genton教授在一号棋牌室全拼音学顶级期刊Journal of the American Statistical Association一号棋牌室全拼音一号棋牌室全拼音一号棋牌室全拼音。该一号棋牌室全拼音研究大规模高斯过程回归模型的低秩近似问题，揭示了低秩近似过程中的节点选择与相依结构估计对预测结果渐近性质的影响，并给出了最优节点选择策略。
一号棋牌室全拼音概述
Low-rank approximation is a popular strategy to tackle the “big n problem” associated with large-scale Gaussian process regressions. Basis functions for developing low-rank structures are crucial and should be carefully specified. Predictive processes simplify the problem by inducing basis functions with a covariance function and a set of knots. The existing literature suggests certain practical implementations of knot selection and covariance estimation; however, theoretical foundations explaining the influence of these two factors on predictive processes are lacking. In this paper, the asymptotic prediction performance of the predictive process and Gaussian process predictions are derived and the impacts of the selected knots and estimated covariance are studied. The use of support points as knots, which best represent data locations, is advocated. Extensive simulation studies demonstrate the superiority of support points and verify our theoretical results. Real data of precipitation and ozone are used as examples, and the efficiency of our method over other widely used low-rank approximation methods is verified.
作者介绍
代一号棋牌室全拼音，中国人民大学一号棋牌室全拼音与大一号棋牌室全拼音一号棋牌室全拼音预聘一号棋牌室全拼音。2008年于北京理工大学一号棋牌室全拼音系获学士学位，2014年于香港浸会大学一号棋牌室全拼音系获博士学位，2015年-2018年于沙特阿卜杜拉国王科技大学进行博士后研究。2018年9月加入中国人民大学一号棋牌室全拼音与大一号棋牌室全拼音一号棋牌室全拼音。他的主要研究方向为非参数一号棋牌室全拼音、复杂一号棋牌室全拼音分析与应用一号棋牌室全拼音，以主要作者身份在Journal of the American Statistical Association，Journal of Machine Learning Research, Statistical Science, Technometrics, Statistica Sinica, Journal of Computational and Graphical Statistics等国际一流一号棋牌室全拼音与机器学习学期刊上一号棋牌室全拼音一号棋牌室全拼音30余篇。曾获得泛华一号棋牌室全拼音协会(International Chinese Statistical Association) 2016年国际大会颁发的Young Researcher Award.
宋妍，2023年6月毕业于中国人民大学一号棋牌室全拼音与大一号棋牌室全拼音一号棋牌室全拼音，目前在沙特阿卜杜拉国王科技大学进行博士后研究。研究兴趣：时空一号棋牌室全拼音、子抽样方法、非参数一号棋牌室全拼音、一号棋牌室全拼音计算与超算技术，以主要作者身份在Journal of the American Statistical Association, Technometrics, Journal of Agricultural, Biological, and Environmental Statistics等国际一流一号棋牌室全拼音学期刊上一号棋牌室全拼音一号棋牌室全拼音8篇。荣获国际计算机学会(Association for Computing Machinery, ACM)的2024年戈登•贝尔气候建模奖提名(ACM Gordon Bell Prize for Climate Modelling, Finalist).
