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Related papers: Bayesian inference under differential privacy

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Forecasting techniques for assessing the power of future experiments to discriminate between theories or discover new laws of nature are of great interest in many areas of science. In this paper, we introduce a Bayesian forecasting method…

Data Analysis, Statistics and Probability · Physics 2024-09-24 Mohammad Hossein Namjoo

A widely used method to create a continuous representation of a discrete data-set is regression analysis. When the regression model is not based on a mathematical description of the physics underlying the data, heuristic techniques play a…

Statistics Theory · Mathematics 2013-07-18 Giovanni Mana , Paolo Alberto Giuliano Albo , Simona Lago

Differential privacy is a cryptographically-motivated approach to privacy that has become a very active field of research over the last decade in theoretical computer science and machine learning. In this paradigm one assumes there is a…

Machine Learning · Computer Science 2023-08-02 Marco Avella-Medina

In many real-world applications of machine learning, data are distributed across many clients and cannot leave the devices they are stored on. Furthermore, each client's data, computational resources and communication constraints may be…

Machine Learning · Statistics 2019-12-02 Mrinank Sharma , Michael Hutchinson , Siddharth Swaroop , Antti Honkela , Richard E. Turner

Recursive Bayesian inference, in which posterior beliefs are updated in light of accumulating data, is a tool for implementing Bayesian models in applications with streaming and/or very large data sets. As the posterior of one iteration…

Methodology · Statistics 2025-08-05 Henry R. Scharf

We study the stability of posterior predictive inferences to the specification of the likelihood model and perturbations of the data generating process. In modern big data analyses, useful broad structural judgements may be elicited from…

Methodology · Statistics 2024-04-30 Jack Jewson , Jim Q. Smith , Chris Holmes

Differential privacy (DP) has been accepted as a rigorous criterion for measuring the privacy protection offered by random mechanisms used to obtain statistics or, as we will study here, synthetic datasets from confidential data. Methods to…

Methodology · Statistics 2024-05-09 Leila Nombo , Anne-Sophie Charest

With the development of Big Data and cloud data sharing, privacy preserving data publishing becomes one of the most important topics in the past decade. As one of the most influential privacy definitions, differential privacy provides a…

Cryptography and Security · Computer Science 2017-10-17 Tianqing Zhu , Ping Xiong , Gang Li , Wanlei Zhou , Philip S. Yu

We describe a new algorithm for answering a given set of range queries under $\epsilon$-differential privacy which often achieves substantially lower error than competing methods. Our algorithm satisfies differential privacy by adding noise…

Databases · Computer Science 2014-10-02 Chao Li , Michael Hay , Gerome Miklau , Yue Wang

Due to increased awareness of data protection and corresponding laws many data, especially involving sensitive personal information, are not publicly accessible. Accordingly, many data collecting agencies only release aggregated data, e.g.…

Methodology · Statistics 2022-04-12 Rajbir-Singh Nirwan , Nils Bertschinger

While the introduction of differential privacy has been a major breakthrough in the study of privacy preserving data publication, some recent work has pointed out a number of cases where it is not possible to limit inference about…

Databases · Computer Science 2012-02-16 Ada Wai-Chee Fu , Jia Wang , Ke Wang , Raymond Chi-Wing Wong

The iterative Bayesian update (IBU) and the matrix inversion (INV) are the main methods to retrieve the original distribution from noisy data resulting from the application of privacy protection mechanisms. We show that the theoretical…

Cryptography and Security · Computer Science 2019-09-09 Ehab ElSalamouny , Catuscia Palamidessi

Repeated use of a data sample via adaptively chosen queries can rapidly lead to overfitting, wherein the empirical evaluation of queries on the sample significantly deviates from their mean with respect to the underlying data distribution.…

Machine Learning · Computer Science 2024-04-26 Moshe Shenfeld , Katrina Ligett

We study a basic private estimation problem: each of $n$ users draws a single i.i.d. sample from an unknown Gaussian distribution, and the goal is to estimate the mean of this Gaussian distribution while satisfying local differential…

Machine Learning · Computer Science 2019-10-29 Matthew Joseph , Janardhan Kulkarni , Jieming Mao , Zhiwei Steven Wu

The membership inference problem for publicly released statistics from a private dataset is well-studied. When developing and formally analyzing attack strategies, however, the focus has been on attacks that model the population using only…

Cryptography and Security · Computer Science 2026-05-29 Lisa Oakley , Sam Stites , Cameron Moy , Steven Holtzen , Alina Oprea , Marco Gaboardi

Bayesian analyses are often performed using so-called noninformative priors, with a view to achieving objective inference about unknown parameters on which available data depends. Noninformative priors depend on the relationship of the data…

Methodology · Statistics 2013-08-14 Nicholas Lewis

This paper introduces a new method that embeds any Bayesian model used to generate synthetic data and converts it into a differentially private (DP) mechanism. We propose an alteration of the model synthesizer to utilize a censored…

Methodology · Statistics 2023-08-07 Jingchen Hu , Matthew R. Williams , Terrance D. Savitsky

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…

Machine Learning · Computer Science 2025-11-04 Ceren Yildirim , Kamer Kaya , Sinan Yildirim , Erkay Savas

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

In order to develop machine learning and deep learning models that take into account the guidelines and principles of trustworthy AI, a novel information theoretic trustworthy AI framework is introduced. A unified approach to…

Machine Learning · Computer Science 2022-04-13 Mohit Kumar , Bernhard A. Moser , Lukas Fischer , Bernhard Freudenthaler
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