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Bayesian inference for Markov processes has become increasingly relevant in recent years. Problems of this type often have intractable likelihoods and prior knowledge about model rate parameters is often poor. Markov Chain Monte Carlo…

Computation · Statistics 2014-10-23 Jamie Owen , Darren J. Wilkinson , Colin S. Gillespie

We propose a new fiducial Markov Chain Monte Carlo (MCMC) method for fitting parametric Gaussian models. We utilize the Cayley transform to decompose the parametric covariance matrix, which in turn allows us to formulate a general data…

Methodology · Statistics 2026-02-24 Hank Flury , Jan Hannig , Richard Smith

Large Language Models (LLMs) have demonstrated advanced capabilities in both text generation and comprehension, and their application to data archives might facilitate the privatization of sensitive information about the data subjects. In…

Cryptography and Security · Computer Science 2025-04-08 Stefano Cirillo , Domenico Desiato , Giuseppe Polese , Monica Maria Lucia Sebillo , Giandomenico Solimando

This paper discusses how two classes of approximate computation algorithms can be adapted, in a modular fashion, to achieve exact statistical inference from differentially private data products. Considered are approximate Bayesian…

Computation · Statistics 2022-09-28 Ruobin Gong

Bayesian models have become very popular over the last years in several fields such as signal processing, statistics, and machine learning. Bayesian inference requires the approximation of complicated integrals involving posterior…

Computation · Statistics 2021-07-20 Luca Martino , Víctor Elvira

Differential privacy (DP) provides robust privacy guarantees for statistical inference, but this can lead to unreliable results and biases in downstream applications. While several noise-aware approaches have been proposed which integrate…

Machine Learning · Statistics 2026-05-29 Talal Alrawajfeh , Joonas Jälkö , Antti Honkela

Membership Inference Attacks have emerged as a dominant method for empirically measuring privacy leakage from machine learning models. Here, privacy is measured by the {\em{advantage}} or gap between a score or a function computed on the…

Machine Learning · Computer Science 2024-05-27 Ruihan Wu , Pengrun Huang , Kamalika Chaudhuri

The emerging public awareness and government regulations of data privacy motivate new paradigms of collecting and analyzing data that are transparent and acceptable to data owners. We present a new concept of privacy and corresponding data…

Cryptography and Security · Computer Science 2022-06-08 Jie Ding , Bangjun Ding

Conventional private data publication mechanisms aim to retain as much data utility as possible while ensuring sufficient privacy protection on sensitive data. Such data publication schemes implicitly assume that all data analysts and users…

Cryptography and Security · Computer Science 2021-12-15 Honglu Jiang , S M Sarwar , Haotian Yu , Sheikh Ariful Islam

The rapid development of computing power and efficient Markov Chain Monte Carlo (MCMC) simulation algorithms have revolutionized Bayesian statistics, making it a highly practical inference method in applied work. However, MCMC algorithms…

Methodology · Statistics 2018-09-21 Matias Quiroz , Mattias Villani , Robert Kohn , Minh-Ngoc Tran , Khue-Dung Dang

Recent advances have sparked significant interest in the development of privacy-preserving Principal Component Analysis (PCA). However, many existing approaches rely on restrictive assumptions, such as assuming sub-Gaussian data or being…

Methodology · Statistics 2025-07-22 Minwoo Kim , Sungkyu Jung

Collaborative machine learning involves training models on data from multiple parties but must incentivize their participation. Existing data valuation methods fairly value and reward each party based on shared data or model parameters but…

Machine Learning · Computer Science 2024-04-03 Rachael Hwee Ling Sim , Yehong Zhang , Trong Nghia Hoang , Xinyi Xu , Bryan Kian Hsiang Low , Patrick Jaillet

Autoencoders gained popularity in the deep learning revolution given their ability to compress data and provide dimensionality reduction. Although prominent deep learning methods have been used to enhance autoencoders, the need to provide…

Machine Learning · Computer Science 2022-04-29 Rohitash Chandra , Mahir Jain , Manavendra Maharana , Pavel N. Krivitsky

Safe and reliable disclosure of information from confidential data is a challenging statistical problem. A common approach considers the generation of synthetic data, to be disclosed instead of the original data. Efficient approaches ought…

Methodology · Statistics 2024-03-04 Larissa N. A. Martins , Flávio B. Gonçalves , Thais P. Galletti

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…

Machine Learning · Computer Science 2022-09-19 Qiongxiu Li , Jaron Skovsted Gundersen , Katrine Tjell , Rafal Wisniewski , Mads Græsbøll Christensen

Organizations are collecting vast amounts of data, but they often lack the capabilities needed to fully extract insights. As a result, they increasingly share data with external experts, such as analysts or researchers, to gain value from…

Machine Learning · Computer Science 2025-05-16 Yusi Wei , Hande Y. Benson , Joseph K. Agor , Muge Capan

In the quest for scalable Bayesian computational algorithms we need to exploit the full potential of existing methodologies. In this note we point out that message passing algorithms, which are very well developed for inference in graphical…

Computation · Statistics 2017-09-05 Omiros Papaspiliopoulos , Giacomo Zanella

Differential privacy is a strong notion for privacy that can be used to prove formal guarantees, in terms of a privacy budget, $\epsilon$, about how much information is leaked by a mechanism. However, implementations of privacy-preserving…

Machine Learning · Computer Science 2019-08-14 Bargav Jayaraman , David Evans

We propose a method for the release of differentially private synthetic datasets. In many contexts, data contain sensitive values which cannot be released in their original form in order to protect individuals' privacy. Synthetic data is a…

Methodology · Statistics 2018-05-25 Joshua Snoke , Aleksandra Slavković

Data publishing under privacy constraints can be achieved with mechanisms that add randomness to data points when released to an untrusted party, thereby decreasing the data's utility. In this paper, we analyze this privacy-utility tradeoff…

Information Theory · Computer Science 2024-08-28 Leonhard Grosse , Sara Saeidian , Tobias Oechtering