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arXiv cs/0501029cs.DB
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基于完整性约束的聚集数据极差估计的概率方法

Estimating Range Queries using Aggregate Data with Integrity Constraints: a Probabilistic Approach

Francesco Buccafurri, Filippo Furfaro, Domenico Sacca'

摘要:

只有在这种数据上的聚合信息的基础上恢复(计数和求和)多维数据范围查询的问题得到解决。这个问题可以形式化如下。假设使用从多维数据集产生汇总的变换T。现在,给定数据集D、摘要S=T(D)和D上的范围查询r,问题包括通过将r建模为在所有数据集D'的样本空间上定义的随机变量来研究r,使得T(D)= S。通过定义随机变量的概率分布并计算其均值和方差,对这种随机变量进行研究,代表了一种有理有据的理论概率方法,该方法仅基于可用信息(即汇总S)来估计查询,而无需对原始数据进行假设。

英文摘要:

The problem of recovering (count and sum) range queries over multidimensional data only on the basis of aggregate information on such data is addressed. This problem can be formalized as follows. Suppose that a transformation T producing a summary from a multidimensional data set is used. Now, given a data set D, a summary S=T(D) and a range query r on D, the problem consists of studying r by modelling it as a random variable defined over the sample space of all the data sets D' such that T(D) = S. The study of such a random variable, done by the definition of its probability distribution and the computation of its mean value and variance, represents a well-founded, theoretical probabilistic approach for estimating the query only on the basis of the available information (that is the summary S) without assumptions on original data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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