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Supporting Regularized Logistic Regression Privately and Efficiently

Author

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  • Wenfa Li
  • Hongzhe Liu
  • Peng Yang
  • Wei Xie

Abstract

As one of the most popular statistical and machine learning models, logistic regression with regularization has found wide adoption in biomedicine, social sciences, information technology, and so on. These domains often involve data of human subjects that are contingent upon strict privacy regulations. Concerns over data privacy make it increasingly difficult to coordinate and conduct large-scale collaborative studies, which typically rely on cross-institution data sharing and joint analysis. Our work here focuses on safeguarding regularized logistic regression, a widely-used statistical model while at the same time has not been investigated from a data security and privacy perspective. We consider a common use scenario of multi-institution collaborative studies, such as in the form of research consortia or networks as widely seen in genetics, epidemiology, social sciences, etc. To make our privacy-enhancing solution practical, we demonstrate a non-conventional and computationally efficient method leveraging distributing computing and strong cryptography to provide comprehensive protection over individual-level and summary data. Extensive empirical evaluations on several studies validate the privacy guarantee, efficiency and scalability of our proposal. We also discuss the practical implications of our solution for large-scale studies and applications from various disciplines, including genetic and biomedical studies, smart grid, network analysis, etc.

Suggested Citation

  • Wenfa Li & Hongzhe Liu & Peng Yang & Wei Xie, 2016. "Supporting Regularized Logistic Regression Privately and Efficiently," PLOS ONE, Public Library of Science, vol. 11(6), pages 1-19, June.
  • Handle: RePEc:plo:pone00:0156479
    DOI: 10.1371/journal.pone.0156479
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    References listed on IDEAS

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    1. S. le Cessie & J. C. van Houwelingen, 1992. "Ridge Estimators in Logistic Regression," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 41(1), pages 191-201, March.
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    1. Yafei Wu & Ya Fang, 2020. "Stroke Prediction with Machine Learning Methods among Older Chinese," IJERPH, MDPI, vol. 17(6), pages 1-11, March.
    2. Xin Ye & Baihua He & Yanyan Liu & Shuangge Ma, 2024. "Privacy-preserving and homogeneity-pursuit integrative analysis for high-dimensional censored data," Statistical Papers, Springer, vol. 65(4), pages 2165-2190, June.

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