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Secure Multiparty Computation of Chi-Square Test Statistics and Contingency Coefficients

机译:卡方检验统计量和意外系数的安全多方计算

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摘要

Generally, in order to perform data mining, all the original data should be provided to the third party first. However, in case of privacy-preserving data mining, the data provider may not want to disclose sensitive data directly to the third party. Therefore, it is very important to compute chi-square test statistics and contingency coefficients, which are statistically very useful, while not disclosing original sensitive data. In this paper, we propose a novel solution to securely compute chi-square test statistics and contingency coefficients by using secure scalar products and proposing secure bitmap string operations. We prove the correctness and secureness of the proposed solution by presenting a formal theorem. Also, we empirically show the superiority and practicality of the proposed method.
机译:通常,为了执行数据挖掘,应首先将所有原始数据提供给第三方。但是,在保留隐私的数据挖掘的情况下,数据提供者可能不希望直接向第三方披露敏感数据。因此,计算卡方检验统计量和意外系数非常重要,这在统计上非常有用,同时又不公开原始的敏感数据。在本文中,我们提出了一种新颖的解决方案,通过使用安全标量乘积并提出安全位图字符串操作来安全地计算卡方检验统计量和列联系数。我们通过提出一个形式定理来证明所提出的解决方案的正确性和安全性。同样,我们从经验上证明了所提出方法的优越性和实用性。

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