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内核分位数回归的交叉验证解的双层路径跟踪

Bi-Level Path Following for Cross Validated Solution of Kernel Quantile Regression
课程网址: http://videolectures.net/icml08_rosset_bilp/  
主讲教师: Saharon Rosset
开课单位: 特拉维夫大学
开课时间: 2008-07-29
课程语种: 英语
中文简介:
条件分位数的建模需要对被估计的分位数进行指定,因此可以将其视为参数化预测建模问题。通常使用分位数损失,并且确实通过分位数参数来参数化。在本文中,我们展示了如何遵循交叉验证解的路径到正则核核分位数回归。尽管我们针对每个分位数遇到的双级优化问题是非凸的,但是最优交叉验证解决方案随损失函数的参数演变的方式允许跟踪该解决方案。我们证明了这个属性,构造了生成的算法,并在数据上进行了演示。该算法使我们能够有效地解决整个双层问题。
课程简介: Modeling of conditional quantiles requires specification of the quantile being estimated and can thus be viewed as a parameterized predictive modeling problem. Quantile loss is typically used, and it is indeed parameterized by a quantile parameter. In this paper we show how to follow the path of cross validated solutions to regularized kernel quantile regression. Even though the bi-level optimization problem we encounter for every quantile is non-convex, the manner in which the optimal cross-validated solution evolves with the parameter of the loss function allows tracking of this solution. We prove this property, construct the resulting algorithm, and demonstrate it on data. This algorithm allows us to efficiently solve the whole family of bi-level problems.
关 键 词: 条件分位数; 参数化预测建模; 交叉验证解
课程来源: 视频讲座网
最后编审: 2019-04-21:lxf
阅读次数: 73