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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…

统计方法学 · 统计学 2023-01-09 Baris Alparslan , Sinan Yildirim

We propose a new framework for Bayesian estimation of differential privacy, incorporating evidence from multiple membership inference attacks (MIA). Bayesian estimation is carried out via a Markov chain Monte Carlo (MCMC) algorithm, named…

机器学习 · 计算机科学 2025-11-04 Ceren Yildirim , Kamer Kaya , Sinan Yildirim , Erkay Savas

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…

统计计算 · 统计学 2024-05-24 Mario Beraha , Stefano Favaro , Vinayak 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…

机器学习 · 统计学 2023-06-08 Barış Alparslan , Sinan Yıldırım , Ş. İlker Birbil

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.…

机器学习 · 统计学 2017-12-27 Bai Li , Changyou Chen , Hao Liu , Lawrence Carin

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…

机器学习 · 统计学 2019-06-18 Mikko A. Heikkilä , Joonas Jälkö , Onur Dikmen , Antti Honkela

Bayesian inference is an important technique throughout statistics. The essence of Beyesian inference is to derive the posterior belief updated from prior belief by the learned information, which is a set of differentially private answers…

数据库 · 计算机科学 2012-11-12 Yonghui Xiao , Li Xiong

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…

机器学习 · 计算机科学 2023-10-16 Wanrong Zhang , Ruqi Zhang

We present a general method for privacy-preserving Bayesian inference in Poisson factorization, a broad class of models that includes some of the most widely used models in the social sciences. Our method satisfies limited precision local…

机器学习 · 统计学 2019-02-25 Aaron Schein , Zhiwei Steven Wu , Alexandra Schofield , Mingyuan Zhou , Hanna Wallach

The increased use of differential privacy (DP) has allowed the sharing of large amounts of data while reducing the risk of disclosure of sensitive information at the individual level. However, the noise introduced by DP methods makes…

统计方法学 · 统计学 2026-04-29 Jordan Awan , Xi Chen , Roberto Molinari

We develop both theory and algorithms to analyze privatized data in unbounded differential privacy (DP), where even the sample size is considered a sensitive quantity that requires privacy protection. We show that the distance between the…

统计理论 · 数学 2026-04-24 Jordan Awan , Andres Felipe Barrientos , Nianqiao Ju

Bayesian optimization is a powerful tool for fine-tuning the hyper-parameters of a wide variety of machine learning models. The success of machine learning has led practitioners in diverse real-world settings to learn classifiers for…

机器学习 · 统计学 2015-02-24 Matt J. Kusner , Jacob R. Gardner , Roman Garnett , Kilian Q. Weinberger

Many modern statistical analysis and machine learning applications require training models on sensitive user data. Under a formal definition of privacy protection, differentially private algorithms inject calibrated noise into the…

机器学习 · 统计学 2025-04-01 Yifei Xiong , Nianqiao Phyllis Ju , Sanguo Zhang

Privacy amplification exploits randomness in data selection to provide tighter differential privacy (DP) guarantees. This analysis is key to DP-SGD's success in machine learning, but, is not readily applicable to the newer state-of-the-art…

机器学习 · 计算机科学 2024-05-07 Christopher A. Choquette-Choo , Arun Ganesh , Thomas Steinke , Abhradeep Thakurta

We study how to communicate findings of Bayesian inference to third parties, while preserving the strong guarantee of differential privacy. Our main contributions are four different algorithms for private Bayesian inference on…

人工智能 · 计算机科学 2015-12-23 Zuhe Zhang , Benjamin Rubinstein , Christos Dimitrakakis

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…

统计计算 · 统计学 2016-04-26 Sinan Yıldırım

Privacy preservation is a fundamental requirement in many high-stakes domains such as medicine and finance, where sensitive personal data must be analyzed without compromising individual confidentiality. At the same time, these applications…

机器学习 · 统计学 2026-02-05 Simon Roburin , Rafaël Pinot , Erwan Scornet

Privacy preserving mechanisms such as differential privacy inject additional randomness in the form of noise in the data, beyond the sampling mechanism. Ignoring this additional noise can lead to inaccurate and invalid inferences. In this…

机器学习 · 统计学 2015-11-26 Vishesh Karwa , Dan Kifer , Aleksandra B. Slavković

Making valid statistical inferences from privatized data is a key challenge in modern analysis. In Bayesian settings, data augmentation MCMC (DAMCMC) methods impute unobserved confidential data given noisy privatized summaries, enabling…

统计方法学 · 统计学 2025-11-07 Yifei Xiong , Nianqiao Phyllis Ju

Bayesian inference has great promise for the privacy-preserving analysis of sensitive data, as posterior sampling automatically preserves differential privacy, an algorithmic notion of data privacy, under certain conditions (Dimitrakakis et…

机器学习 · 计算机科学 2016-06-10 James Foulds , Joseph Geumlek , Max Welling , Kamalika Chaudhuri
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