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Estimating the probability density of a population while preserving the privacy of individuals in that population is an important and challenging problem that has received considerable attention in recent years. While the previous…

Computation · Statistics 2024-05-24 Mario Beraha , Stefano Favaro , Vinayak Rao

Recent developments in differentially private (DP) machine learning and DP Bayesian learning have enabled learning under strong privacy guarantees for the training data subjects. In this paper, we further extend the applicability of DP…

Machine Learning · Statistics 2019-06-18 Mikko A. Heikkilä , Joonas Jälkö , Onur Dikmen , Antti Honkela

Differentially private mechanisms protect privacy by introducing additional randomness into the data. Restricting access to only the privatized data makes it challenging to perform valid statistical inference on parameters underlying the…

Methodology · Statistics 2022-12-09 Nianqiao Ju , Jordan A. Awan , Ruobin Gong , Vinayak A. Rao

We propose a novel Bayesian inference framework for distributed differentially private linear regression. We consider a distributed setting where multiple parties hold parts of the data and share certain summary statistics of their portions…

Machine Learning · Statistics 2023-06-08 Barış Alparslan , Sinan Yıldırım , Ş. İlker Birbil

We view the penalty algorithm of Ceperley and Dewing (1999), a Markov chain Monte Carlo (MCMC) algorithm for Bayesian inference, in the context of data privacy. Specifically, we study differential privacy of the penalty algorithm and…

Computation · Statistics 2016-04-26 Sinan Yıldırım

Significant success has been realized recently on applying machine learning to real-world applications. There have also been corresponding concerns on the privacy of training data, which relates to data security and confidentiality issues.…

Machine Learning · Statistics 2017-12-27 Bai Li , Changyou Chen , Hao Liu , Lawrence Carin

This paper concerns differentially private Bayesian estimation of the parameters of a population distribution, when a statistic of a sample from that population is shared in noise to provide differential privacy. This work mainly addresses…

Methodology · Statistics 2023-01-09 Baris Alparslan , Sinan Yildirim

Bayesian inference provides a principled framework for learning from complex data and reasoning under uncertainty. It has been widely applied in machine learning tasks such as medical diagnosis, drug design, and policymaking. In these…

Machine Learning · Computer Science 2023-10-16 Wanrong Zhang , Ruqi Zhang

Membership inference attacks (MIAs) pose a significant threat to the privacy of machine learning models and are widely used as tools for privacy assessment, auditing, and machine unlearning. While prior MIA research has primarily focused on…

Machine Learning · Computer Science 2025-07-04 Zhiqi Wang , Chengyu Zhang , Yuetian Chen , Nathalie Baracaldo , Swanand Kadhe , Lei Yu

Markov chain Monte Carlo (MCMC) algorithms have long been the main workhorses of Bayesian inference. Among them, Hamiltonian Monte Carlo (HMC) has recently become very popular due to its efficiency resulting from effective use of the…

Computation · Statistics 2021-06-18 Ossi Räisä , Antti Koskela , Antti Honkela

Membership inference attacks (MIAs) pose significant privacy risks by determining whether individual data is in a dataset. While differential privacy (DP) mitigates these risks, it has limitations including limited resolution in expressing…

Cryptography and Security · Computer Science 2025-07-11 Tao Zhang , Rajagopal Venkatesaramani , Rajat K. De , Bradley A. Malin , Yevgeniy Vorobeychik

Determining whether a dataset was part of a machine learning model's training data pool can reveal privacy vulnerabilities, a challenge often addressed through membership inference attacks (MIAs). Traditional MIAs typically require access…

Machine Learning · Computer Science 2025-06-03 Yongchao Huang

Training machine learning models on privacy-sensitive data has become a popular practice, driving innovation in ever-expanding fields. This has opened the door to new attacks that can have serious privacy implications. One such attack, the…

Cryptography and Security · Computer Science 2023-06-16 Thomas Humphries , Simon Oya , Lindsey Tulloch , Matthew Rafuse , Ian Goldberg , Urs Hengartner , Florian Kerschbaum

Membership inference attack (MIA) has become one of the most widely used and effective methods for evaluating the privacy risks of machine learning models. These attacks aim to determine whether a specific sample is part of the model's…

Cryptography and Security · Computer Science 2025-06-04 Jing Xue , Zhishen Sun , Haishan Ye , Luo Luo , Xiangyu Chang , Ivor Tsang , Guang Dai

When performing Bayesian computations in practice, one is often faced with the challenge that the constituent model components and/or the data are only available in a distributed fashion, e.g. due to privacy concerns or sheer volume. While…

Computation · Statistics 2022-10-26 Joris Bierkens , Andrew Duncan

A membership inference attack (MIA) poses privacy risks for the training data of a machine learning model. With an MIA, an attacker guesses if the target data are a member of the training dataset. The state-of-the-art defense against MIAs,…

Cryptography and Security · Computer Science 2022-11-16 Rishav Chourasia , Batnyam Enkhtaivan , Kunihiro Ito , Junki Mori , Isamu Teranishi , Hikaru Tsuchida

Membership inference attacks (MIAs) aim to determine whether a data sample was included in a machine learning (ML) model's training set and have become the de facto standard for measuring privacy leakages in ML. We propose an evaluation…

Cryptography and Security · Computer Science 2026-03-25 Najeeb Jebreel , David Sánchez , Josep Domingo-Ferrer

Data analysis has high value both for commercial and research purposes. However, disclosing analysis results may pose severe privacy risk to individuals. Privug is a method to quantify privacy risks of data analytics programs by analyzing…

Cryptography and Security · Computer Science 2023-09-01 Rasmus C. Rønneberg , Raúl Pardo , Andrzej Wąsowski

This paper aims to provide differential privacy (DP) guarantees for Markov chain Monte Carlo (MCMC) algorithms. In a first part, we establish DP guarantees on samples output by MCMC algorithms as well as Monte Carlo estimators associated…

Machine Learning · Statistics 2025-11-04 Andrea Bertazzi , Tim Johnston , Gareth O. Roberts , Alain Durmus

We consider the problem of Bayesian learning on sensitive datasets and present two simple but somewhat surprising results that connect Bayesian learning to "differential privacy:, a cryptographic approach to protect individual-level privacy…

Machine Learning · Statistics 2015-04-14 Yu-Xiang Wang , Stephen E. Fienberg , Alex Smola
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