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This paper proposes new methodologies for conducting practical differentially private (DP) estimation and inference in high-dimensional linear regression. We first introduce a DP Bayesian Information Criterion (DP-BIC) for selecting the…

Methodology · Statistics 2026-04-13 Zhanrui Cai , Sai Li , Xintao Xia , Linjun Zhang

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

Recent advances in synthetic data generation (SDG) have been hailed as a solution to the difficult problem of sharing sensitive data while protecting privacy. SDG aims to learn statistical properties of real data in order to generate…

Machine Learning · Computer Science 2024-05-10 Meenatchi Sundaram Muthu Selva Annamalai , Andrea Gadotti , Luc Rocher

Differential Privacy (DP) provides a rigorous framework for releasing statistics while protecting individual information present in a dataset. Although substantial progress has been made on differentially private linear regression, existing…

Statistics Theory · Mathematics 2026-01-16 Getoar Sopa , Marco Avella Medina , Cynthia Rush

Differentially private data generation techniques have become a promising solution to the data privacy challenge -- it enables sharing of data while complying with rigorous privacy guarantees, which is essential for scientific progress in…

Cryptography and Security · Computer Science 2022-11-09 Dingfan Chen , Raouf Kerkouche , Mario Fritz

Generative models trained with Differential Privacy (DP) are becoming increasingly prominent in the creation of synthetic data for downstream applications. Existing literature, however, primarily focuses on basic benchmarking datasets and…

Cryptography and Security · Computer Science 2024-02-08 Dingfan Chen , Marie Oestreich , Tejumade Afonja , Raouf Kerkouche , Matthias Becker , Mario Fritz

A major challenge for machine learning is increasing the availability of data while respecting the privacy of individuals. Here we combine the provable privacy guarantees of the differential privacy framework with the flexibility of…

Machine Learning · Statistics 2019-01-18 Michael Thomas Smith , Max Zwiessele , Neil D. Lawrence

There has been increasing demand for establishing privacy-preserving methodologies for modern statistics and machine learning. Differential privacy, a mathematical notion from computer science, is a rising tool offering robust privacy…

Methodology · Statistics 2024-05-09 Shurong Lin , Elliot Paquette , Eric D. Kolaczyk

Linear regression is an important tool across many fields that work with sensitive human-sourced data. Significant prior work has focused on producing differentially private point estimates, which provide a privacy guarantee to individuals…

Machine Learning · Computer Science 2019-10-30 Garrett Bernstein , Daniel Sheldon

Background: Synthetic data has been proposed as a solution for sharing anonymized versions of sensitive biomedical datasets. Ideally, synthetic data should preserve the structure and statistical properties of the original data, while…

Machine Learning · Computer Science 2024-10-24 Ileana Montoya Perez , Parisa Movahedi , Valtteri Nieminen , Antti Airola , Tapio Pahikkala

Differentially Private Synthetic Data Generation (DP-SDG) is a key enabler of private and secure tabular-data sharing, producing artificial data that carries through the underlying statistical properties of the input data. This typically…

Machine Learning · Computer Science 2025-04-16 Samuel Maddock , Shripad Gade , Graham Cormode , Will Bullock

Economics and social science research often require analyzing datasets of sensitive personal information at fine granularity, with models fit to small subsets of the data. Unfortunately, such fine-grained analysis can easily reveal…

Machine Learning · Computer Science 2020-07-13 Daniel Alabi , Audra McMillan , Jayshree Sarathy , Adam Smith , Salil Vadhan

Generative Adversarial Networks (GANs) are one of the well-known models to generate synthetic data including images, especially for research communities that cannot use original sensitive datasets because they are not publicly accessible.…

Machine Learning · Computer Science 2020-01-28 Reihaneh Torkzadehmahani , Peter Kairouz , Benedict Paten

Current practices for reporting the level of differential privacy (DP) protection for machine learning (ML) algorithms such as DP-SGD provide an incomplete and potentially misleading picture of the privacy guarantees. For instance, if only…

Machine Learning · Computer Science 2025-10-03 Juan Felipe Gomez , Bogdan Kulynych , Georgios Kaissis , Flavio P. Calmon , Jamie Hayes , Borja Balle , Antti Honkela

Gaussian processes (GPs) are non-parametric Bayesian models that are widely used for diverse prediction tasks. Previous work in adding strong privacy protection to GPs via differential privacy (DP) has been limited to protecting only the…

Machine Learning · Computer Science 2021-11-12 Antti Honkela , Laila Melkas

Marginal-based methods achieve promising performance in the synthetic data competition hosted by the National Institute of Standards and Technology (NIST). To deal with high-dimensional data, the distribution of synthetic data is…

Machine Learning · Computer Science 2023-01-26 Ximing Li , Chendi Wang , Guang Cheng

Algorithms such as Differentially Private SGD enable training machine learning models with formal privacy guarantees. However, there is a discrepancy between the protection that such algorithms guarantee in theory and the protection they…

Generalized linear models (GLMs) such as logistic regression are among the most widely used arms in data analyst's repertoire and often used on sensitive datasets. A large body of prior works that investigate GLMs under differential privacy…

Machine Learning · Computer Science 2021-05-13 Tejas Kulkarni , Joonas Jälkö , Antti Koskela , Samuel Kaski , Antti Honkela

Linear regression is frequently applied in a variety of domains, some of which might contain sensitive information. This necessitates that the application of these methods does not reveal private information. Differentially private (DP)…

Machine Learning · Computer Science 2025-12-01 Shrutimoy Das , Debanuj Nayak , Anirban Dasgupta

Differentially private (DP) mechanisms protect individual-level information by introducing randomness into the statistical analysis procedure. Despite the availability of numerous DP tools, there remains a lack of general techniques for…

Machine Learning · Statistics 2025-09-25 Zhanyu Wang , Guang Cheng , Jordan Awan
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