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We propose a novel and systematic differentially private (DP) inference framework for non-Euclidean data. First, we design two types of DP mechanisms for the Fr\'echet mean and variance with i.i.d. Riemannian manifold-valued data, tailored…

Methodology · Statistics 2026-05-15 Yangdi Jiang , Xiaotian Chang , Qirui Hu

For evolving datasets with continual reports, the composition rule for differential privacy (DP) dictates that the scale of DP noise must grow linearly with the number of the queries, or that the privacy budget must be split equally between…

Cryptography and Security · Computer Science 2019-09-27 Farhad Farokhi

We propose a natural relaxation of differential privacy based on the Renyi divergence. Closely related notions have appeared in several recent papers that analyzed composition of differentially private mechanisms. We argue that the useful…

Cryptography and Security · Computer Science 2018-12-12 Ilya Mironov

Federal administrative data, such as tax data, are invaluable for research, but because of privacy concerns, access to these data is typically limited to select agencies and a few individuals. An alternative to sharing microlevel data is to…

Applications · Statistics 2023-07-03 Andrés F. Barrientos , Aaron R. Williams , Joshua Snoke , Claire McKay Bowen

Differential privacy is a de facto standard for statistical computations over databases that contain private data. The strength of differential privacy lies in a rigorous mathematical definition that guarantees individual privacy and yet…

Cryptography and Security · Computer Science 2020-05-05 Gilles Barthe , Rohit Chadha , Vishal Jagannath , A. Prasad Sistla , Mahesh Viswanathan

In recent years, Local Differential Privacy (LDP), a robust privacy-preserving methodology, has gained widespread adoption in real-world applications. With LDP, users can perturb their data on their devices before sending it out for…

Machine Learning · Computer Science 2023-08-02 Héber H. Arcolezi , Karima Makhlouf , Catuscia Palamidessi

Federated Learning (FL) enables collaborative model training without direct data sharing, yet it remains vulnerable to privacy attacks such as model inversion and membership inference. Existing differential privacy (DP) solutions for FL…

Cryptography and Security · Computer Science 2026-01-06 Yunbo Li , Jiaping Gui , Fanchao Meng , Yue Wu

So far, privacy models follow two paradigms. The first paradigm, termed inferential privacy in this paper, focuses on the risk due to statistical inference of sensitive information about a target record from other records in the database.…

Databases · Computer Science 2012-02-17 Ke Wang , Peng Wang , Ada Waichee Fu , Raywong Chi-Wing Wong

Differential privacy (DP) allows data analysts to query databases that contain users' sensitive information while providing a quantifiable privacy guarantee to users. Recent interactive DP systems such as APEx provide accuracy guarantees…

Cryptography and Security · Computer Science 2022-11-30 Miti Mazmudar , Thomas Humphries , Jiaxiang Liu , Matthew Rafuse , Xi He

Local differential privacy (LDP) gives a strong privacy guarantee to be used in a distributed setting like federated learning (FL). LDP mechanisms in FL protect a client's gradient by randomizing it on the client; however, how can we…

Cryptography and Security · Computer Science 2022-06-22 Marin Matsumoto , Tsubasa Takahashi , Seng Pei Liew , Masato Oguchi

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

While federated learning (FL) eliminates the transmission of raw data over a network, it is still vulnerable to privacy breaches from the communicated model parameters. Differential privacy (DP) is often employed to address such issues.…

Networking and Internet Architecture · Computer Science 2025-12-03 Evan Chen , Frank Po-Chen Lin , Dong-Jun Han , Christopher G. Brinton

It has been widely understood that differential privacy (DP) can guarantee rigorous privacy against adversaries with arbitrary prior knowledge. However, recent studies demonstrate that this may not be true for correlated data, and indicate…

Machine Learning · Computer Science 2019-06-07 Yanan Li , Xuebin Ren , Shusen Yang , Xinyu Yang

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

The increasing use of machine learning in sensitive applications demands algorithms that simultaneously preserve data privacy and ensure fairness across potentially sensitive sub-populations. While privacy and fairness have each been…

Machine Learning · Statistics 2025-11-25 Lilian Say , Christophe Denis , Rafael Pinot

Diffusion auction refers to an emerging paradigm of online marketplace where an auctioneer utilises a social network to attract potential buyers. Diffusion auction poses significant privacy risks. From the auction outcome, it is possible to…

Computer Science and Game Theory · Computer Science 2023-02-17 Fengjuan Jia , Mengxiao Zhang , Jiamou Liu , Bakh Khoussainov

How to achieve differential privacy in the distributed setting, where the dataset is distributed among the distrustful parties, is an important problem. We consider in what condition can a protocol inherit the differential privacy property…

Cryptography and Security · Computer Science 2017-04-06 Genqiang Wu , Yeping He , Jingzheng Wu , Xianyao Xia

We introduce a locally differentially private (LDP) algorithm for online federated learning that employs temporally correlated noise to improve utility while preserving privacy. To address challenges posed by the correlated noise and local…

Machine Learning · Computer Science 2025-03-13 Jiaojiao Zhang , Linglingzhi Zhu , Dominik Fay , Mikael Johansson

This paper proposes a differentially private recursive least squares algorithm to estimate the parameter of autoregressive systems with exogenous inputs and multi-participants (MP-ARX systems) and protect each participant's sensitive…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Jianwei Tan , Jimin Wang , Ji-Feng Zhang

Differential privacy is increasingly formalized through the lens of hypothesis testing via the robust and interpretable $f$-DP framework, where privacy guarantees are encoded by a baseline Blackwell trade-off function $f_{\infty} =…

Statistics Theory · Mathematics 2025-12-02 Aaradhya Pandey , Arian Maleki , Sanjeev Kulkarni
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