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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

Differentially private (DP) synthetic data generation is a practical method for improving access to data as a means to encourage productive partnerships. One issue inherent to DP is that the "privacy budget" is generally "spent" evenly…

Machine Learning · Computer Science 2022-08-11 Lucas Rosenblatt , Joshua Allen , Julia Stoyanovich

In differential privacy (DP), the generalized private testing problem was introduced by Liu and Talwar (STOC 2019). Given a dataset $X \in \mathcal{X}$ and a sequence of black-box $\varepsilon_t$-DP mechanisms $M_t:\mathcal{X}\to\{+1,-1\}$,…

Data Structures and Algorithms · Computer Science 2026-05-22 Anamay Chaturvedi , Monika Henzinger , Jalaj Upadhyay

Differential privacy (DP) has been widely used to protect the privacy of confidential cyber physical energy systems (CPES) data. However, applying DP without analyzing the utility, privacy, and security requirements can affect the data…

Cryptography and Security · Computer Science 2021-09-22 Md Tamjid Hossain , Shahriar Badsha , Haoting Shen

Since 2016, Apple has claimed that device analytics collected to improve user experience are protected by differential privacy (DP). Apple's DifferentialPrivacy framework is deployed across its operating systems and handles sensitive…

Cryptography and Security · Computer Science 2026-05-22 Rishav Chourasia , Ergute Bao , Uzair Javaid , Xiaokui Xiao

Differential privacy (DP), as a rigorous mathematical definition quantifying privacy leakage, has become a well-accepted standard for privacy protection. Combined with powerful machine learning techniques, differentially private machine…

Machine Learning · Computer Science 2023-10-17 Chengkun Wei , Minghu Zhao , Zhikun Zhang , Min Chen , Wenlong Meng , Bo Liu , Yuan Fan , Wenzhi Chen

This paper presents ongoing research focused on improving the utility of data protected by Global Differential Privacy(DP) in the scenario of summary statistics. Our approach is based on predictions on how an analyst will use statistics…

Cryptography and Security · Computer Science 2024-01-15 Henry C. Nunes , Marlon P. da Silva , Charles V. Neu , Avelino F. Zorzo

Differential privacy is a widely accepted measure of privacy in the context of deep learning algorithms, and achieving it relies on a noisy training approach known as differentially private stochastic gradient descent (DP-SGD). DP-SGD…

Machine Learning · Computer Science 2023-07-26 Ce Feng , Nuo Xu , Wujie Wen , Parv Venkitasubramaniam , Caiwen Ding

Differential privacy is one of the methods to solve the problem of privacy protection in federated learning. Setting the same privacy budget for each round will result in reduced accuracy in training. The existing methods of the adjustment…

Cryptography and Security · Computer Science 2024-08-20 Zhiqiang Wang , Xinyue Yu , Qianli Huang , Yongguang Gong

Gaussian differential privacy (GDP) is a single-parameter family of privacy notions that provides coherent guarantees to avoid the exposure of sensitive individual information. Despite the extra interpretability and tighter bounds under…

Cryptography and Security · Computer Science 2022-10-18 Yi Liu , Ke Sun , Linglong Kong , Bei Jiang

Differential privacy is becoming a gold standard for privacy research; it offers a guaranteed bound on loss of privacy due to release of query results, even under worst-case assumptions. The theory of differential privacy is an active…

We propose a framework to convert $(\varepsilon, \delta)$-approximate Differential Privacy (DP) mechanisms into $(\varepsilon', 0)$-pure DP mechanisms under certain conditions, a process we call ``purification.'' This algorithmic technique…

Cryptography and Security · Computer Science 2025-11-19 Yingyu Lin , Erchi Wang , Yi-An Ma , Yu-Xiang Wang

Differential privacy (DP) is a popular mechanism for training machine learning models with bounded leakage about the presence of specific points in the training data. The cost of differential privacy is a reduction in the model's accuracy.…

Machine Learning · Computer Science 2019-10-29 Eugene Bagdasaryan , Vitaly Shmatikov

Differential privacy is an information theoretic constraint on algorithms and code. It provides quantification of privacy leakage and formal privacy guarantees that are currently considered the gold standard in privacy protections. In this…

Cryptography and Security · Computer Science 2020-05-14 Daniel Kifer , Solomon Messing , Aaron Roth , Abhradeep Thakurta , Danfeng Zhang

Differential privacy (DP) has become the gold standard for preserving individual privacy in data analysis. However, an implicit yet fundamental assumption underlying these rigorous privacy guarantees is the correct implementation and…

Cryptography and Security · Computer Science 2026-03-17 Haochen Sun , Xi He

This paper focuses on solving unconstrained privacy-preserving black-box optimization (PBBO), its corresponding least Frobenius norm updating of quadratic models, and the differentially privacy mechanisms for PBBO. Optimization problems…

Cryptography and Security · Computer Science 2026-01-21 Pengcheng Xie

Differentially Private Stochastic Gradient Descent (DP-SGD) is the dominant paradigm for private training, but its fundamental limitations under worst-case adversarial privacy definitions remain poorly understood. We analyze DP-SGD in the…

Machine Learning · Computer Science 2026-04-17 Murat Bilgehan Ertan , Marten van Dijk

We introduce a differentially private manifold denoising framework that allows users to exploit sensitive reference datasets to correct noisy, non-private query points without compromising privacy. The method follows an iterative procedure…

Machine Learning · Computer Science 2026-04-02 Jiaqi Wu , Yiqing Sun , Zhigang Yao

Differential privacy is a recent notion of privacy for statistical databases that provides rigorous, meaningful confidentiality guarantees, even in the presence of an attacker with access to arbitrary side information. We show that for a…

Cryptography and Security · Computer Science 2008-09-30 Adam Smith

Federated learning (FL) enhances privacy by keeping user data on local devices. However, emerging attacks have demonstrated that the updates shared by users during training can reveal significant information about their data. This has…

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