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快速采样加权v统计

Fast Resampling Weighted v-Statistics
课程网址: http://videolectures.net/machine_zhou_fast_resampling/  
主讲教师: Chunxiao Zhou
开课单位: 美国国立卫生研究院
开课时间: 2013-01-14
课程语种: 英语
中文简介:
本文提出了一种新的单变量和多变量数据重采样加权V统计量计算快速替代算法。为了避免任何真正的重采样,我们将此问题与有限群作用联系起来,并将其转换为轨道枚举问题。为了进一步降低计算成本,提出了一种按对称顺序列出所有轨道的有效方法,并递归计算所有指数函数轨道和数据函数轨道和。计算复杂度分析表明,计算成本从n降低!或NN级到低阶多项式级。
课程简介: In this paper, a novel, computationally fast, and alternative algorithm for com- puting weighted v-statistics in resampling both univariate and multivariate data is proposed. To avoid any real resampling, we have linked this problem with finite group action and converted it into a problem of orbit enumeration. For further computational cost reduction, an efficient method is developed to list all orbits by their symmetry order and calculate all index function orbit sums and data function orbit sums recursively. The computational complexity analysis shows reduction in the computational cost from n! or nn level to low-order polynomial level.
关 键 词: 计算加权; 替代算法; 重采样; 计算成本; 指数函数
课程来源: 视频讲座网
最后编审: 2020-03-26:chenxin
阅读次数: 41