Privacy-Preserving Distributed Expectation Maximization for Gaussian Mixture Model using Subspace Perturbation

• URL: http://arxiv.org/abs/2209.07833v1
• Date: Fri, 16 Sep 2022 09:58:03 GMT
• Title: Privacy-Preserving Distributed Expectation Maximization for Gaussian Mixture Model using Subspace Perturbation
• Authors: Qiongxiu Li and Jaron Skovsted Gundersen and Katrine Tjell and Rafal Wisniewski and Mads Gr{\ae}sb{\o}ll Christensen
• Abstract summary: federated learning is motivated by the privacy concern as it does not allow to transmit private data but only intermediate updates. We propose a fully decentralized privacy-preserving solution, which is able to securely compute the updates in each step. Numerical validation shows that the proposed approach has superior performance compared to the existing approach in terms of both the accuracy and privacy level.
• Score: 4.2698418800007865
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Privacy has become a major concern in machine learning. In fact, the federated learning is motivated by the privacy concern as it does not allow to transmit the private data but only intermediate updates. However, federated learning does not always guarantee privacy-preservation as the intermediate updates may also reveal sensitive information. In this paper, we give an explicit information-theoretical analysis of a federated expectation maximization algorithm for Gaussian mixture model and prove that the intermediate updates can cause severe privacy leakage. To address the privacy issue, we propose a fully decentralized privacy-preserving solution, which is able to securely compute the updates in each maximization step. Additionally, we consider two different types of security attacks: the honest-but-curious and eavesdropping adversary models. Numerical validation shows that the proposed approach has superior performance compared to the existing approach in terms of both the accuracy and privacy level.

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