1. Characterizing Membership Privacy in Stochastic Gradient Langevin Dynamics
- Author
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Cen Chen, Guangyu Sun, Shiwan Zhao, Chaochao Chen, Bingzhe Wu, Li Wang, Yuan Yao, Jun Zhou, and Xiaolu Zhang
- Subjects
FOS: Computer and information sciences ,Computer Science - Machine Learning ,Computer science ,business.industry ,Generalization ,Deep learning ,Bayesian probability ,Machine Learning (stat.ML) ,Sample (statistics) ,Markov chain Monte Carlo ,General Medicine ,Machine learning ,computer.software_genre ,Machine Learning (cs.LG) ,symbols.namesake ,Statistics - Machine Learning ,symbols ,Artificial intelligence ,business ,Langevin dynamics ,computer - Abstract
Bayesian deep learning is recently regarded as an intrinsic way to characterize the weight uncertainty of deep neural networks~(DNNs). Stochastic Gradient Langevin Dynamics~(SGLD) is an effective method to enable Bayesian deep learning on large-scale datasets. Previous theoretical studies have shown various appealing properties of SGLD, ranging from the convergence properties to the generalization bounds. In this paper, we study the properties of SGLD from a novel perspective of membership privacy protection (i.e., preventing the membership attack). The membership attack, which aims to determine whether a specific sample is used for training a given DNN model, has emerged as a common threat against deep learning algorithms. To this end, we build a theoretical framework to analyze the information leakage (w.r.t. the training dataset) of a model trained using SGLD. Based on this framework, we demonstrate that SGLD can prevent the information leakage of the training dataset to a certain extent. Moreover, our theoretical analysis can be naturally extended to other types of Stochastic Gradient Markov Chain Monte Carlo (SG-MCMC) methods. Empirical results on different datasets and models verify our theoretical findings and suggest that the SGLD algorithm can not only reduce the information leakage but also improve the generalization ability of the DNN models in real-world applications., Under review of AAAI 2020
- Published
- 2020
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