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arXiv 2201.10545stat.ME
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一种基于隐类模型的合成数据生成和后验推断方法

A Latent Class Modeling Approach for Generating Synthetic Data and Making Posterior Inferences from Differentially Private Counts

Michelle Pistner Nixon, Andrés F. Barrientos, Jerome P. Reiter, Aleksandra Slavković

摘要:

存在用于从列联表创建差异私有计数的几种算法,例如双向或三向边际计数。所得到的噪声计数通常不对应于相干列联表,使得如果想要所释放的计数对应于相干列联表,则需要一些后处理步骤。我们提出了一种潜在的类建模方法,用于后处理差异私人边际计数,可用于(i)创建差异私人合成数据的边缘计数的集合,以及(ii)使后验推断的机密计数。我们使用2016年美国社区调查公共使用微数据集和2004年国家长期护理调查的子集来说明这种方法。

英文摘要:

Several algorithms exist for creating differentially private counts from contingency tables, such as two-way or three-way marginal counts. The resulting noisy counts generally do not correspond to a coherent contingency table, so that some post-processing step is needed if one wants the released counts to correspond to a coherent contingency table. We present a latent class modeling approach for post-processing differentially private marginal counts that can be used (i) to create differentially private synthetic data from the set of marginal counts, and (ii) to enable posterior inferences about the confidential counts. We illustrate the approach using a subset of the 2016 American Community Survey Public Use Microdata Sets and the 2004 National Long Term Care Survey.

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