通过选择性采样估计回归函数的极值和相关水平集Estimation of Extreme Values and Associated Level Sets of a Regression Function via Selective Sampling |
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课程网址: | http://videolectures.net/colt2013_minsker_estimation/ |
主讲教师: | Stanislav Minsker |
开课单位: | 杜克大学 |
开课时间: | 2013-08-09 |
课程语种: | 英语 |
中文简介: | 我们提出了一种新方法,用于估计受随机噪声污染的观测值的函数绝对最大值(最小值)的位置和值。我们的目标是在最小的规律性和形状约束下解决问题。特别是,我们不假设函数的可微性,也不假设它的最大值在单个点上获得。我们为所提出的估计器的性能提供紧密的上限和下限。我们的方法适用于大类底层分布的问题的未知参数。 |
课程简介: | We propose a new method for estimating the locations and the value of an absolute maximum (minimum) of a function from the observations contaminated by random noise. Our goal is to solve the problem under minimal regularity and shape constraints. In particular, we do not assume differentiability of a function nor that its maximum is attained at a single point. We provide tight upper and lower bounds for the performance of proposed estimators. Our method is adaptive with respect to the unknown parameters of the problem over a large class of underlying distributions. |
关 键 词: | 函数绝对最大值(最小值); 函数的可微性 |
课程来源: | 视频讲座网 |
最后编审: | 2019-03-10:mmx |
阅读次数: | 77 |