Cryptology ePrint Archive: Report 2017/979

Privacy-Preserving Ridge Regression with only Linearly-Homomorphic Encryption

Irene Giacomelli and Somesh Jha and Marc Joye and C. David Page and Kyonghwan Yoon

Abstract: Linear regression with 2-norm regularization (i.e., ridge regression) is an important statistical technique that models the relationship between some explanatory values and an outcome value using a linear function. In many applications (e.g., predictive modelling in personalised health care), these values represent sensitive data owned by several different parties who are unwilling to share them. In this setting, training a linear regression model becomes challenging and needs specific cryptographic solutions. This problem was elegantly addressed by Nikolaenko et al. in S&P (Oakland) 2013. They suggested a two-server system that uses linearly-homomorphic encryption (LHE) and Yao’s two-party protocol (garbled circuits). In this work, we propose a novel system that can train a ridge linear regression model using only LHE (i.e., without using Yao’s protocol). This greatly improves the overall performance (both in computation and communication) as Yao’s protocol was the main bottleneck in the previous solution. The efficiency of the proposed system is validated both on synthetically-generated and real-world datasets.

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Original Publication (with minor differences): ACNS 2018 Applied Cryptography & Network security

Date: received 3 Oct 2017, last revised 13 Apr 2018

Contact author: irene giacomelli29 at gmail com

Available format(s): PDF | BibTeX Citation

Note: This paper is a merge of ePrint:2017/732 and ePrint:2017/707.

Version: 20180414:001344 (All versions of this report)

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