Advanced Search
Volume 45 Issue 3
Mar.  2023
Turn off MathJax
Article Contents
ZHANG Yue, ZHU Youwen, ZHOU Yuqian, YUAN Jiabin. Mean Estimation Mechanisms under (ε, δ)-Local Differential Privacy[J]. Journal of Electronics & Information Technology, 2023, 45(3): 765-774. doi: 10.11999/JEIT221047
Citation: ZHANG Yue, ZHU Youwen, ZHOU Yuqian, YUAN Jiabin. Mean Estimation Mechanisms under (ε, δ)-Local Differential Privacy[J]. Journal of Electronics & Information Technology, 2023, 45(3): 765-774. doi: 10.11999/JEIT221047

Mean Estimation Mechanisms under (ε, δ)-Local Differential Privacy

doi: 10.11999/JEIT221047
Funds:  The National Key Research and Development Program of China (2021YFB3100400), The National Natural Science Foundation of China (62172216), The Natural Science Foundation of Jiangsu Province (BK20211180), The Research Fund of Guangxi Key Laboratory of Cryptography and Information Security (GCIS202107), The Postgraduate Research & Practice Innovation Program of Jiangsu Province (KYCX19_0203)
  • Received Date: 2022-08-10
  • Rev Recd Date: 2022-12-05
  • Available Online: 2022-12-08
  • Publish Date: 2023-03-10
  • Compared with the ε-Local Differential Privacy (LDP) mechanism, the scheme under (ε, δ)-local differential privacy has a smaller error bound and higher data utility. However, the current mean estimation mechanisms under (ε, δ)-local differential privacy still have problems such as large estimation error and low data utility. Therefore, for the mean estimation problem, two new mean estimation mechanisms under (ε, δ)-local differential privacy are proposed: the Interval-based Mechanism for mean estimation (IM) and the Neighbor-based Mechanism for mean estimation (NM). IM divides the perturbed data into three intervals. Then the real data is perturbed to the middle interval with a large probability, and the two sides are perturbed with a small probability. Collector averages directly the perturbed data to get an unbiased estimation. NM perturbs the real data to its near neighborhood with a large probability and perturbs it far away with a small probability. Then the collector applies the expectation maximization algorithm to obtain an estimated mean value with high accuracy. Finally, both IM and NM satisfy the privacy protection requirements are proved through theoretical analysis, and the data utility of IM and NM is superior to existing mechanisms is confirmed by experiments.
  • loading
  • [1]
    HITAJ B, ATENIESE G, and PEREZ-CRUZ F. Deep models under the GAN: Information leakage from collaborative deep learning[C]. The ACM SIGSAC Conference on Computer and Communications Security, Dallas Texas, USA, 2017: 603–618.
    [2]
    钱文君, 沈晴霓, 吴鹏飞, 等. 大数据计算环境下的隐私保护技术研究进展[J]. 计算机学报, 2022, 45(4): 669–701. doi: 10.11897/SP.J.1016.2022.00669

    QIAN Wenjun, SHEN Qingni, WU Pengfei, et al. Research progress on privacy-preserving techniques in big data computing environment[J]. Chinese Journal of Computers, 2022, 45(4): 669–701. doi: 10.11897/SP.J.1016.2022.00669
    [3]
    KASIVISWANATHAN S P, LEE H K, NISSIM K, et al. What can we learn privately?[C]. The 49th Annual IEEE Symposium on Foundations of Computer Science, Philadelphia, USA, 2008: 531–540.
    [4]
    KASIVISWANATHAN S P, LEE H K, NISSIM K, et al. What can we learn privately?[J]. SIAM Journal on Computing, 2011, 40(3): 793–826. doi: 10.1137/090756090
    [5]
    冯登国, 张敏, 叶宇桐. 基于差分隐私模型的位置轨迹发布技术研究[J]. 电子与信息学报, 2020, 42(1): 74–88. doi: 10.11999/JEIT190632

    FENG Dengguo, ZHANG Min, and YE Yutong. Research on differentially private trajectory data publishing[J]. Journal of Electronics &Information Technology, 2020, 42(1): 74–88. doi: 10.11999/JEIT190632
    [6]
    XUE Qiao, ZHU Youwen, WANG Jian, et al. Locally differentially private distributed algorithms for set intersection and union[J]. Science China Information Sciences, 2021, 64: 219101. doi: 10.1007/s11432-018-9899-8
    [7]
    WANG Ning, XIAO Xiaokui, YANG Yin, et al. Collecting and analyzing multidimensional data with local differential privacy[C]. 2019 IEEE 35th International Conference on Data Engineering, Macao, China, 2019: 638–649.
    [8]
    LI Zitao, WANG Tianhao, LOPUHAÄ-ZWAKENBERG M, et al. Estimating numerical distributions under local differential privacy[C]. The 2020 ACM SIGMOD International Conference on Management of Data, Portland, USA, 2020: 621–635.
    [9]
    BASSILY R. Linear queries estimation with local differential privacy[C]. The 22nd International Conference on Artificial Intelligence and Statistics, Naha, Japan, 2019: 721–729.
    [10]
    DWORK C and ROTH A. The algorithmic foundations of differential privacy[J]. Foundations and Trends® in Theoretical Computer Science, 2014, 9(3/4): 211–407. doi: 10.1561/0400000042
    [11]
    BALLE B and WANG Yuxiang. Improving the Gaussian mechanism for differential privacy: Analytical calibration and optimal denoising[C]. The 35th International Conference on Machine Learning, Stockholm, Sweden, 2018: 403–412.
    [12]
    WANG Teng, ZHAO Jun, HU Zhi, et al. Local differential privacy for data collection and analysis[J]. Neurocomputing, 2021, 426: 114–133. doi: 10.1016/j.neucom.2020.09.073
    [13]
    TELLAMBURA C and ANNAMALAI A. Efficient computation of erfc(x) for large arguments[J]. IEEE Transactions on Communications, 2000, 48(4): 529–532. doi: 10.1109/26.843116
    [14]
    YEH I C and LIEN C H. The comparisons of data mining techniques for the predictive accuracy of probability of default of credit card clients[J]. Expert Systems with Applications, 2009, 36(2): 2473–2480. doi: 10.1016/j.eswa.2007.12.020
    [15]
    Minnesota Population Center. Integrated public use microdata series-international: version 7.3 [dataset][EB/OL]. https://doi.org/10.18128/D020.V7.3.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(6)  / Tables(4)

    Article Metrics

    Article views (954) PDF downloads(166) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return