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Differentially private (DP) machine learning has recently become popular. The privacy loss of DP algorithms is commonly reported using $(\varepsilon,\delta)$-DP. In this paper, we propose a numerical accountant for evaluating the privacy…

Machine Learning · Statistics 2020-08-28 Antti Koskela , Joonas Jälkö , Antti Honkela

Bayesian methods lie at the heart of modern data science and provide a powerful scaffolding for estimation in data-constrained settings and principled quantification and propagation of uncertainty. Yet in many real-world use cases where…

Data Structures and Algorithms · Computer Science 2026-03-20 Sitan Chen , Jingqiu Ding , Mahbod Majid , Walter McKelvie

We develop a near-optimal testing procedure under the framework of Gaussian differential privacy for simple as well as one- and two-sided tests under monotone likelihood ratio conditions. Our mechanism is based on a private mean estimator…

Machine Learning · Statistics 2026-01-30 Yu-Wei Chen , Raghu Pasupathy , Jordan Awan

Privacy preservation in machine learning, particularly through Differentially Private Stochastic Gradient Descent (DP-SGD), is critical for sensitive data analysis. However, existing statistical inference methods for SGD predominantly focus…

Machine Learning · Statistics 2025-12-15 Xintao Xia , Linjun Zhang , Zhanrui Cai

Data-dependent privacy accounting frameworks such as per-instance differential privacy (pDP) and Fisher information loss (FIL) confer fine-grained privacy guarantees for individuals in a fixed training dataset. These guarantees can be…

Cryptography and Security · Computer Science 2024-03-12 Shengyuan Hu , Saeed Mahloujifar , Virginia Smith , Kamalika Chaudhuri , Chuan Guo

The literature on differential privacy almost invariably assumes that the data to be analyzed are fully observed. In most practical applications this is an unrealistic assumption. A popular strategy to address this problem is imputation, in…

Databases · Computer Science 2022-07-15 Soumojit Das , Jorg Drechsler , Keith Merrill , Shawn Merrill

Differential privacy comes equipped with multiple analytical tools for the design of private data analyses. One important tool is the so-called "privacy amplification by subsampling" principle, which ensures that a differentially private…

Machine Learning · Computer Science 2018-11-26 Borja Balle , Gilles Barthe , Marco Gaboardi

Recent research in differential privacy demonstrated that (sub)sampling can amplify the level of protection. For example, for $\epsilon$-differential privacy and simple random sampling with sampling rate $r$, the actual privacy guarantee is…

Applications · Statistics 2022-02-22 Jingchen Hu , Joerg Drechsler , Hang J. Kim

Differential privacy (DP) allows the quantification of privacy loss when the data of individuals is subjected to algorithmic processing such as machine learning, as well as the provision of objective privacy guarantees. However, while…

Cryptography and Security · Computer Science 2021-11-30 Tamara T. Mueller , Alexander Ziller , Dmitrii Usynin , Moritz Knolle , Friederike Jungmann , Daniel Rueckert , Georgios Kaissis

Diferentially private (DP) synthetic datasets are a powerful approach for training machine learning models while respecting the privacy of individual data providers. The effect of DP on the fairness of the resulting trained models is not…

Machine Learning · Statistics 2021-06-21 Mayana Pereira , Meghana Kshirsagar , Sumit Mukherjee , Rahul Dodhia , Juan Lavista Ferres

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

Differential privacy (DP) enables safe data release, with synthetic data generation emerging as a common approach in recent years. Yet standard synthesizers preserve all dependencies in the data, including spurious correlations between…

Databases · Computer Science 2026-03-26 Naeim Ghahramanpour , Mostafa Milani

Differential privacy (DP) has become the de facto standard for protecting sensitive data, providing strong guarantees that published statistics or models reveal limited information about any individual. However, privacy noise and restricted…

Databases · Computer Science 2026-05-25 Mariia Vologdin , Yuchao Tao , Amir Gilad

Statistical agencies utilize models to synthesize respondent-level data for release to the general public as an alternative to the actual data records. A Bayesian model synthesizer encodes privacy protection by employing a hierarchical…

Statistics Theory · Mathematics 2020-05-19 Jingchen Hu , Terrance D. Savitsky

Differential privacy (DP) is widely employed to provide privacy protection for individuals by limiting information leakage from the aggregated data. Two well-known models of DP are the central model and the local model. The former requires…

Cryptography and Security · Computer Science 2024-11-05 Yucheng Fu , Tianhao Wang

Many applications of Bayesian data analysis involve sensitive information, motivating methods which ensure that privacy is protected. We introduce a general privacy-preserving framework for Variational Bayes (VB), a widely used…

Machine Learning · Statistics 2018-12-05 Mijung Park , James Foulds , Kamalika Chaudhuri , Max Welling

Differential Privacy (DP) is the current gold-standard for ensuring privacy for statistical queries. Estimation problems under DP constraints appearing in the literature have largely focused on providing equal privacy to all users. We…

Machine Learning · Computer Science 2025-04-22 Syomantak Chaudhuri , Thomas A. Courtade

Gaussian copulas are widely used to estimate multivariate distributions and relationships. We present algorithms for estimating Gaussian copula correlations that ensure differential privacy. We first convert data values into sets of two-way…

Methodology · Statistics 2026-01-08 Shuo Wang , Joseph Feldman , Jerome P. Reiter

Frequency estimation plays a critical role in many applications involving personal and private categorical data. Such data are often collected sequentially over time, making it valuable to estimate their distribution online while preserving…

Machine Learning · Computer Science 2025-02-17 Soner Aydin , Sinan Yildirim

Large data collections required for the training of neural networks often contain sensitive information such as the medical histories of patients, and the privacy of the training data must be preserved. In this paper, we introduce a dropout…

Machine Learning · Statistics 2017-12-06 Beyza Ermis , Ali Taylan Cemgil
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