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Traditionally, differential privacy mechanism design has been tailored for a scalar-valued query function. Although many mechanisms such as the Laplace and Gaussian mechanisms can be extended to a matrix-valued query function by adding…

Machine Learning · Computer Science 2018-03-01 Thee Chanyaswad , Alex Dytso , H. Vincent Poor , Prateek Mittal

The wide deployment of machine learning in recent years gives rise to a great demand for large-scale and high-dimensional data, for which the privacy raises serious concern. Differential privacy (DP) mechanisms are conventionally developed…

Cryptography and Security · Computer Science 2021-05-03 Jungang Yang , Liyao Xiang , Weiting Li , Wei Liu , Xinbing Wang

Differential privacy via output perturbation has been a de facto standard for releasing query or computation results on sensitive data. However, we identify that all existing Gaussian mechanisms suffer from the curse of full-rank covariance…

Cryptography and Security · Computer Science 2024-03-15 Tianxi Ji , Pan Li

We design a class of additive noise mechanisms that satisfy \((\varepsilon, \delta)\)-differential privacy (DP) for scalar, real-valued query functions with known sensitivities, with a particular focus on moderate and low-privacy regimes.…

Cryptography and Security · Computer Science 2026-05-28 Huikang Liu , Aras Selvi , Wolfram Wiesemann

Differential privacy (DP) is obtained by randomizing a data analysis algorithm, which necessarily introduces a tradeoff between its utility and privacy. Many DP mechanisms are built upon one of two underlying tools: Laplace and Gaussian…

Machine Learning · Computer Science 2026-04-03 Roy Rinberg , Ilia Shumailov , Vikrant Singhal , Rachel Cummings , Nicolas Papernot

Differential privacy schemes have been widely adopted in recent years to address issues of data privacy protection. We propose a new Gaussian scheme combining with another data protection technique, called random orthogonal matrix masking,…

Cryptography and Security · Computer Science 2023-04-13 A. Adam Ding , Samuel S. Wu , Guanhong Miao , Shigang Chen

The framework of differential privacy protects an individual's privacy while publishing query responses on congregated data. In this work, a new noise addition mechanism for differential privacy is introduced where the noise added is…

Cryptography and Security · Computer Science 2023-07-06 Gokularam Muthukrishnan , Sheetal Kalyani

Conventionally, in a differentially private additive noise mechanism, independent and identically distributed (i.i.d.) noise samples are added to each coordinate of the response. In this work, we formally present the addition of noise that…

Cryptography and Security · Computer Science 2025-01-28 Gokularam Muthukrishnan , Sheetal Kalyani

Building a recommendation system involves analyzing user data, which can potentially leak sensitive information about users. Anonymizing user data is often not sufficient for preserving user privacy. Motivated by this, we propose a…

Information Retrieval · Computer Science 2023-04-19 Sohan Salahuddin Mugdho , Hafiz Imtiaz

Adding random noise to database query results is an important tool for achieving privacy. A challenge is to minimize this noise while still meeting privacy requirements. Recently, a sufficient and necessary condition for $(\epsilon,…

Cryptography and Security · Computer Science 2026-01-28 Staal A. Vinterbo

In this paper, we propose a novel Heterogeneous Gaussian Mechanism (HGM) to preserve differential privacy in deep neural networks, with provable robustness against adversarial examples. We first relax the constraint of the privacy budget in…

Cryptography and Security · Computer Science 2019-06-05 NhatHai Phan , Minh Vu , Yang Liu , Ruoming Jin , Dejing Dou , Xintao Wu , My T. Thai

Differential privacy provides a rigorous framework to quantify data privacy, and has received considerable interest recently. A randomized mechanism satisfying $(\epsilon, \delta)$-differential privacy (DP) roughly means that, except with a…

Cryptography and Security · Computer Science 2019-12-10 Jun Zhao , Teng Wang , Tao Bai , Kwok-Yan Lam , Zhiying Xu , Shuyu Shi , Xuebin Ren , Xinyu Yang , Yang Liu , Han Yu

A key tool for building differentially private systems is adding Gaussian noise to the output of a function evaluated on a sensitive dataset. Unfortunately, using a continuous distribution presents several practical challenges. First and…

Data Structures and Algorithms · Computer Science 2024-11-19 Clément L. Canonne , Gautam Kamath , Thomas Steinke

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

The Gaussian Mechanism (GM), which consists in adding Gaussian noise to a vector-valued query before releasing it, is a standard privacy protection mechanism. In particular, given that the query respects some L2 sensitivity property (the L2…

Machine Learning · Computer Science 2024-03-20 Hadrien Hendrikx , Paul Mangold , Aurélien Bellet

The Gaussian mechanism is one differential privacy mechanism commonly used to protect numerical data. However, it may be ill-suited to some applications because it has unbounded support and thus can produce invalid numerical answers to…

Cryptography and Security · Computer Science 2022-12-01 Bo Chen , Matthew Hale

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

Accurately learning from user data while ensuring quantifiable privacy guarantees provides an opportunity to build better Machine Learning (ML) models while maintaining user trust. Recent literature has demonstrated the applicability of a…

Machine Learning · Computer Science 2020-12-11 Oluwaseyi Feyisetan , Abhinav Aggarwal , Zekun Xu , Nathanael Teissier

Differential privacy is a de facto privacy framework that has seen adoption in practice via a number of mature software platforms. Implementation of differentially private (DP) mechanisms has to be done carefully to ensure end-to-end…

Cryptography and Security · Computer Science 2024-09-12 Jiankai Jin , Eleanor McMurtry , Benjamin I. P. Rubinstein , Olga Ohrimenko

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
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