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We derive the optimal $\epsilon$-differentially private mechanism for single real-valued query function under a very general utility-maximization (or cost-minimization) framework. The class of noise probability distributions in the optimal…

Cryptography and Security · Computer Science 2013-10-31 Quan Geng , Pramod Viswanath

Formal disclosure avoidance techniques are necessary to ensure that published data can not be used to identify information about individuals. The addition of statistical noise to unpublished data can be implemented to achieve differential…

Methodology · Statistics 2024-06-10 Ryan Janicki , Scott H. Holan , Kyle M. Irimata , James Livsey , Andrew Raim

Balancing the privacy-utility tradeoff is a crucial requirement of many practical machine learning systems that deal with sensitive customer data. A popular approach for privacy-preserving text analysis is noise injection, in which text…

Computation and Language · Computer Science 2020-10-26 Zekun Xu , Abhinav Aggarwal , Oluwaseyi Feyisetan , Nathanael Teissier

Location-Based Services (LBSs) offer significant convenience to mobile users but pose significant privacy risks, as attackers can infer sensitive personal information through spatiotemporal correlations in user trajectories. Since users'…

Cryptography and Security · Computer Science 2025-11-27 Minghui Min , Jiahui Liu , Mingge Cao , Shiyin Li , Hongliang Zhang , Miao Pan , Zhu Han

Location privacy has been extensively studied in the literature. However, existing location privacy models are either not rigorous or not customizable, which limits the trade-off between privacy and utility in many real-world applications.…

Cryptography and Security · Computer Science 2020-07-16 Yang Cao , Yonghui Xiao , Shun Takagi , Li Xiong , Masatoshi Yoshikawa , Yilin Shen , Jinfei Liu , Hongxia Jin , Xiaofeng Xu

Location-Based Services (LBSs) provide valuable services, with convenient features for mobile users. However, the location and other information disclosed through each query to the LBS erodes user privacy. This is a concern especially…

Cryptography and Security · Computer Science 2020-01-23 Hongyu Jin , Panos Papadimitratos

The collection of individuals' data has become commonplace in many industries. Local differential privacy (LDP) offers a rigorous approach to preserving privacy whereby the individual privatises their data locally, allowing only their…

Machine Learning · Computer Science 2022-05-17 Alex Mansbridge , Gregory Barbour , Davide Piras , Michael Murray , Christopher Frye , Ilya Feige , David Barber

Data-driven methodologies offer many exciting upsides, but they also introduce new challenges, particularly in the realm of user privacy. Specifically, the way data is collected can pose privacy risks to end users. In many routing services,…

Cryptography and Security · Computer Science 2022-03-16 Matthew Tsao , Kaidi Yang , Karthik Gopalakrishnan , Marco Pavone

The Gaussian mechanism is an essential building block used in multitude of differentially private data analysis algorithms. In this paper we revisit the Gaussian mechanism and show that the original analysis has several important…

Machine Learning · Computer Science 2018-06-08 Borja Balle , Yu-Xiang Wang

In this paper, we investigate initial state privacy protection for discrete-time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Le Liu , Yu Kawano , Antai Xie , Ming Cao

This paper develops a framework for privatizing the spectrum of the graph Laplacian of an undirected graph using differential privacy. We consider two privacy formulations. The first obfuscates the presence of edges in the graph and the…

Optimization and Control · Mathematics 2022-11-29 Calvin Hawkins , Bo Chen , Kasra Yazdani , Matthew Hale

With the ubiquitous use of location-based services, large-scale individual-level location data has been widely collected through location-awareness devices. The widespread exposure of such location data poses significant privacy risks to…

Cryptography and Security · Computer Science 2024-09-16 Mahrokh Abdollahi Lorestani , Thilina Ranbaduge , Thierry Rakotoarivelo

Differential privacy mechanisms such as the Gaussian or Laplace mechanism have been widely used in data analytics for preserving individual privacy. However, they are mostly designed for continuous outputs and are unsuitable for scenarios…

Cryptography and Security · Computer Science 2024-06-06 Zhongteng Cai , Xueru Zhang , Mohammad Mahdi Khalili

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

With the growing volume of data in society, the need for privacy protection in data analysis also rises. In particular, private selection tasks, wherein the most important information is retrieved under differential privacy are emphasized…

Data Structures and Algorithms · Computer Science 2024-10-15 Akito Yamamoto , Tetsuo Shibuya

Privacy protection has become an increasingly pressing requirement in distributed optimization. However, equipping distributed optimization with differential privacy, the state-of-the-art privacy protection mechanism, will unavoidably…

Optimization and Control · Mathematics 2023-04-28 Yu Xuan , Yongqiang Wang

Differentially Private Stochastic Gradient Descent (DPSGD) is widely used to protect sensitive data during the training of machine learning models, but its privacy guarantee often comes at a large cost of model performance due to the lack…

Machine Learning · Computer Science 2026-01-16 Hao Liang , Wanrong Zhang , Xinlei He , Kaishun Wu , Hong Xing

We study how to communicate findings of Bayesian inference to third parties, while preserving the strong guarantee of differential privacy. Our main contributions are four different algorithms for private Bayesian inference on…

Artificial Intelligence · Computer Science 2015-12-23 Zuhe Zhang , Benjamin Rubinstein , Christos Dimitrakakis

Differentially Private Stochastic Gradient Descent (DP-SGD) is a standard method for enforcing privacy in deep learning, typically using the Gaussian mechanism to perturb gradient updates. However, conventional mechanisms such as Gaussian…

Cryptography and Security · Computer Science 2025-09-09 Qin Yang , Nicholas Stout , Meisam Mohammady , Han Wang , Ayesha Samreen , Christopher J Quinn , Yan Yan , Ashish Kundu , Yuan Hong

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
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