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In this paper, we present a comprehensive framework for differential privacy over affine manifolds and validate its usefulness in the contexts of differentially private cloud-based control and average consensus. We consider differential…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Zihao Ren , Lei Wang , Deming Yuan , Guodong Shi

This paper studies initial-value privacy problems of linear dynamical systems. We consider a standard linear time-invariant system with random process and measurement noises. For such a system, eavesdroppers having access to system output…

Systems and Control · Electrical Eng. & Systems 2020-08-25 Lei Wang , Ian R. Manchester , Jochen Trumpf , Guodong Shi

For systems whose states implicate sensitive information, their privacy is of great concern. While notions like differential privacy have been successfully introduced to dynamical systems, it is still unclear how a system's privacy can be…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Le Liu , Yu Kawano , Ming Cao

Differential privacy is a privacy measure based on the difficulty of discriminating between similar input data. In differential privacy analysis, similar data usually implies that their distance does not exceed a predetermined threshold.…

Optimization and Control · Mathematics 2021-06-25 Genki Sugiura , Kaito Ito , Kenji Kashima

In this paper, we study the differentially private empirical risk minimization problem where the parameter is constrained to a Riemannian manifold. We introduce a framework of differentially private Riemannian optimization by adding noise…

Optimization and Control · Mathematics 2022-05-20 Andi Han , Bamdev Mishra , Pratik Jawanpuria , Junbin Gao

This paper addresses the challenge of privacy preservation for statistical inputs in dynamical systems. Motivated by an autonomous building application, we formulate a privacy preservation problem for statistical inputs in linear…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Le Liu , Yu Kawano , Ming Cao

In this work we consider the problem of releasing a differentially private statistical summary that resides on a Riemannian manifold. We present an extension of the Laplace or K-norm mechanism that utilizes intrinsic distances and volumes…

Statistics Theory · Mathematics 2021-11-09 Matthew Reimherr , Karthik Bharath , Carlos Soto

Distributed model predictive control (DMPC) has attracted extensive attention as it can explicitly handle system constraints and achieve optimal control in a decentralized manner. However, the deployment of DMPC strategies generally…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Kaixiang Zhang , Yongqiang Wang , Ziyou Song , Zhaojian Li

Differential privacy is a widely used notion of security that enables the processing of sensitive information. In short, differentially private algorithms map "neighbouring" inputs to close output distributions. Prior work proposed several…

Quantum Physics · Physics 2023-07-11 Armando Angrisani , Mina Doosti , Elham Kashefi

Differential Privacy (DP) is being increasingly adopted for non-Euclidean data that lie on complex, high-dimensional manifolds. Existing DP mechanisms for manifold data consider geometric properties when calibrating privacy perturbations,…

Cryptography and Security · Computer Science 2026-05-12 Peilin He , Liou Tang , M. Amin Rahimian , James Joshi

The technology of differential privacy, adding a noise drawn from the Laplace distribution, successfully overcomes a difficulty of keeping both the privacy of individual data and the utility of the statistical result simultaneously.…

Cryptography and Security · Computer Science 2015-07-23 Zijian Zhang , Zhan Qin , Liehuang Zhu , Wei Jiang , Chen Xu , and Kui Ren

The approximation introduced by finite-precision representation of continuous data can induce arbitrarily large information leaks even when the computation using exact semantics is secure. Such leakage can thus undermine design efforts…

Databases · Computer Science 2013-06-13 Ivan Gazeau , Dale Miller , Catuscia Palamidessi

This paper introduces a novel approach to concurrently design dynamic controllers and correlated differential privacy noise in dynamic control systems. An increase in privacy noise increases the system's privacy but adversely affects the…

Systems and Control · Electrical Eng. & Systems 2024-10-21 Raman Goyal , Dhrubajit Chowdhury , Shantanu Rane

In this paper, we first present a volumetric privacy measure for dynamical systems with bounded disturbances, wherein the states of the system contain private information and an adversary with access to sensor measurements attempts to infer…

Systems and Control · Electrical Eng. & Systems 2025-10-29 Chuanghong Weng , Ehsan Nekouei

Emerging systems such as smart grids or intelligent transportation systems often require end-user applications to continuously send information to external data aggregators performing monitoring or control tasks. This can result in an…

Optimization and Control · Mathematics 2012-09-12 Jerome Le Ny , George J. Pappas

In recent years, differential privacy has been adopted by tech-companies and governmental agencies as the standard for measuring privacy in algorithms. In this article, we study differential privacy in Bayesian posterior sampling settings.…

Statistics Theory · Mathematics 2026-02-13 Shenggang Hu , Louis Aslett , Hongsheng Dai , Murray Pollock , Gareth O. Roberts

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

Differential privacy provides strong privacy guarantees for machine learning applications. Much recent work has been focused on developing differentially private models, however there has been a gap in other stages of the machine learning…

Machine Learning · Computer Science 2021-09-07 Ashly Lau , Jonathan Passerat-Palmbach

Differential privacy is achieved by the introduction of Laplacian noise in the response to a query, establishing a precise trade-off between the level of differential privacy and the accuracy of the database response (via the amount of…

Cryptography and Security · Computer Science 2015-10-06 Maurizio Naldi , Giuseppe D'Acquisto

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
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