球探比分win007

讲座名称：Functional Regression on Manifold with Contamination

讲座时间：2020-09-09 10:00

讲座人：姚方 教授

讲座地点：腾讯球探007即时足球议直播（ID：932 719 167）

讲座人介绍：

姚方，北京大学博雅讲席教授, 北大统计科学中心主任，数理统计学球探007即时足球（IMS）Fellow，美国统计学球探007即时足球（ASA）Fellow，现任 IMS 理事球探007即时足球成员。2000年本科毕业于中国科技大学统计专业，2003年获得加利福尼亚大学戴维斯分校统计学博士学位，曾任职于多伦多大学统计科学系终身教授。现担任Canadian Journal of Statistics的主编，至今担任9个国际统计学核心期刊编委，包括统计学顶级期刊Journal of the American Statistical Association和 Annals of Statistics。

讲座内容：

We propose a new method for functional nonparametric regression with a predictor that resides on a finite-dimensional manifold but is only observable in an infinite-dimensional  space. Contamination of the predictor due to  discrete/noisy measurements is also accounted for.  By using functional local linear manifold smoothing, the proposed estimator enjoys a polynomial rate of convergence that adapts to the intrinsic manifold dimension and the contamination level. This is in contrast to the logarithmic convergence rate in the literature of functional nonparametric regression.  We also observe a phase transition phenomenon regarding the interplay of the manifold dimension and the contamination level. We demonstrate that the proposed method has favorable numerical performance relative to commonly used methods via simulated and real data examples.

主办单位：数学与统计滚球买球的app