arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2310.12781stat.MLcs.LGstat.CO

基于隐私保护数据的仿真贝叶斯推断

Simulation-based Bayesian Inference from Privacy Protected Data

Purdue University(普渡大学);University of Chinese Academy of Sciences(中国科学院大学)

Yifei Xiong, Nianqiao Phyllis Ju, Sanguo Zhang

AI总结:

针对隐私保护数据难以进行有效统计推断的问题,提出基于仿真的贝叶斯推断方法,结合序列蒙特卡洛和神经条件密度估计器,在传染病模型和线性回归上验证了纠正隐私偏差的可行性。

摘要:

许多现代统计分析和机器学习应用需要在敏感用户数据上训练模型。在隐私保护的正式定义下,差分隐私算法将校准噪声注入机密数据或在数据分析过程中注入噪声,以生成隐私保护的数据集或查询结果。然而,在统计分析期间仅允许访问私有化数据,使得进行有效的统计推断在计算上具有挑战性。在本工作中,我们提出了基于隐私保护数据集的仿真推断方法。除了序列蒙特卡洛近似贝叶斯计算外,我们还采用神经条件密度估计器作为灵活的分布族,以近似给定观测到的私有查询结果时模型参数的后验分布。我们在传染病模型下的离散时间序列数据以及普通线性回归模型上展示了我们的方法。通过展示隐私-效用权衡,我们的实验和分析证明了设计有效的统计推断程序以纠正隐私保护机制引入的偏差的必要性和可行性。

英文摘要:

Many modern statistical analysis and machine learning applications require training models on sensitive user data. Under a formal definition of privacy protection, differentially private algorithms inject calibrated noise into the confidential data or during the data analysis process to produce privacy-protected datasets or queries. However, restricting access to only privatized data during statistical analysis makes it computationally challenging to make valid statistical inferences. In this work, we propose simulation-based inference methods from privacy-protected datasets. In addition to sequential Monte Carlo approximate Bayesian computation, we adopt neural conditional density estimators as a flexible family of distributions to approximate the posterior distribution of model parameters given the observed private query results. We illustrate our methods on discrete time-series data under an infectious disease model and with ordinary linear regression models. Illustrating the privacy-utility trade-off, our experiments and analysis demonstrate the necessity and feasibility of designing valid statistical inference procedures to correct for biases introduced by the privacy-protection mechanisms.

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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