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BUC Algorithm for Iceberg Cubes: Implementation and Sensitivity Analysis

机译:冰山多维数据集的BUC算法:实现和灵敏度分析

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摘要

The Iceberg-Cube problem restricts the computation of the data cube to only those group-by partitions satisfying a minimum threshold condition defined on a specified measure. In this paper, we implement the Bottom-Up Computation (BUC) algorithm for computing Iceberg cubes and conduct a sensitivity analysis of BUC with respect to the probability density function of the data. The distributions under consideration are the Gaussian, Geometric, and Poisson distributions. The Uniform distribution is used as a basis for comparison. Results show that when the cube is sparse there is a correlation between the data distribution and the running time of the algorithm. In particular, BUC performs better on Uniform followed by Poisson, Gaussian and Geometric data.
机译:Iceberg-Cube问题将数据多维数据集的计算限制为仅满足满足在指定量度上定义的最小阈值条件的那些分组分区。在本文中,我们实现了自下而上的计算(BUC)算法来计算Iceberg多维数据集,并针对数据的概率密度函数对BUC进行了敏感性分析。所考虑的分布是高斯分布,几何分布和泊松分布。均匀分布用作比较的基础。结果表明,当多维数据集稀疏时,数据分布与算法的运行时间之间存在相关性。特别是,BUC在Uniform上表现更好,其次是Poisson,Gaussian和Geometric数据。

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