A K-nearest neighbor classifier based on homomorphic encryption scheme

Zhenzhou Guo, Weifeng Jin, Xintong Li, Han Qi, Changqing Gong
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Abstract

Homomorphic encryption technology can analyze the data stored in the cloud without decryption, because the results of ciphertext calculation after decryption are the same as the corresponding plaintext calculation results. Based on homomorphic encryption and machine learning technology, this paper proposes a K-nearest neighbor classifier based on homomorphic encryption scheme, Homomorphic encryption technology can not only ensure the security of the data, but also analyze the data in the ciphertext state since the characteristics of homomorphism, avoiding the data insecurity problem caused by analyzing the data after decryption in the clound. In this scheme, we first improve the ciphertext comparison algorithm and improve the judgment of sample label in ciphertext state. Then, using k-nearest neighbor classifier, a ring based selection algorithm is designed to reduce the time of ciphertext operation. The results show that our scheme can realizes the ciphertext classification On the condition of ensuring the accuracy of classification. Compared with the original k-nearest neighbor classification method, the classification accuracy of the our algorithm is improved about 1%, but the time cost is larger than the original k-nearest neighbor classification method.
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基于同态加密方案的k近邻分类器
同态加密技术可以对存储在云端的数据进行无需解密的分析,因为解密后的密文计算结果与对应的明文计算结果是一致的。本文基于同态加密和机器学习技术,提出了一种基于k近邻分类器的同态加密方案,同态加密技术不仅可以保证数据的安全性,而且由于同态的特性,可以在密文状态下对数据进行分析,避免了在云端解密后对数据进行分析所带来的数据不安全问题。在该方案中,我们首先改进了密文比较算法,改进了密文状态下样本标号的判断。然后,利用k近邻分类器,设计了一种基于环的密文选择算法,以减少密文操作的时间。实验结果表明,该方案能够在保证分类精度的前提下实现对密文的分类。与原k近邻分类方法相比,本算法的分类准确率提高了约1%,但时间开销比原k近邻分类方法大。
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