图 书 馆
统一损失函数与基于估计函数的学习Unified Loss Function and Estimating Function Based Learning |
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| 课程网址: | http://videolectures.net/mcslw04_laan_ulfef/ |
| 主讲教师: | Mark van der Laan |
| 开课单位: | 加州大学 |
| 开课时间: | 2007-02-25 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | Current applications in genomics and epidemiology concern high dimensional (and, possibly, time-dependent) data structures, and the questions of interest correspond typically with high dimensional parameters of interest. In such problems it is typically not possible to a priory pose a model allowing estimation at a parametric rate, and thereby requiring estimators of non-pathwise differentiable parameters. We will present a general loss based estimation procedure, which is grounded by theory (e.g., minimax adaptive), and generalizes existing estimation problems. An application of this methodology yields data adaptive algorithms for conditional mean estimation, conditional hazard/density estimation based on censored and uncensored data. In addition, we present a general estimating function based estimation procedure for pathwise and non-pathwise differentiable parameters. Both methodologies involve loss based and estimating function based cross-validation as a tool to select among candidate estimators of the parameter of interest. We illustrate the methodology with some applications in genomics and epidemiology. |
| 关 键 词: | 高维度数据结构; 非路径可微分参数; 交叉验证 |
| 课程来源: | 视频讲座网 |
| 最后编审: | 2019-05-16：cjy |
| 阅读次数: | 54 |