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We consider the minimax estimation problem of a discrete distribution with support size $k$ under locally differential privacy constraints. A privatization scheme is applied to each raw sample independently, and we need to estimate the…

Statistics Theory · Mathematics 2017-08-02 Min Ye , Alexander Barg

In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

Optimization and Control · Mathematics 2026-01-05 Furan Xie , Bing Liu , Li Chai

We revisit the classical problem of nonparametric density estimation but impose local differential privacy constraints. Under such constraints, the original multivariate data $X_1,\ldots,X_n \in \mathbb{R}^d$ cannot be directly observed,…

Statistics Theory · Mathematics 2022-11-15 László Györfi , Martin Kroll

This work studies the distributed empirical risk minimization (ERM) problem under differential privacy (DP) constraint. Standard distributed algorithms achieve DP typically by perturbing all local subgradients with noise, leading to…

Optimization and Control · Mathematics 2023-07-04 Changxin Liu , Karl H. Johansson , Yang Shi

We study the problem of remote state estimation, in the presence of an eavesdropper. An authorized user estimates the state of a linear plant, based on the data received from a sensor, while the data may also be intercepted by the…

Systems and Control · Computer Science 2016-12-16 Anastasios Tsiamis , Konstantinos Gatsis , George J. Pappas

In this paper, we develop a general framework to design differentially private expectation-maximization (EM) algorithms in high-dimensional latent variable models, based on the noisy iterative hard-thresholding. We derive the statistical…

Machine Learning · Statistics 2021-09-10 Zhe Zhang , Linjun Zhang

Working under a model of privacy in which data remains private even from the statistician, we study the tradeoff between privacy guarantees and the risk of the resulting statistical estimators. We develop private versions of classical…

Statistics Theory · Mathematics 2017-11-16 John Duchi , Martin Wainwright , Michael Jordan

Differential privacy is a standard framework to quantify the privacy loss in the data anonymization process. To preserve differential privacy, a random noise adding mechanism is widely adopted, where the trade-off between data privacy level…

Cryptography and Security · Computer Science 2022-03-22 Shuying Qin , Jianping He , Chongrong Fang , James Lam

In this paper, we introduce a new notion of guaranteed privacy that requires that the change of the range of the corresponding inclusion function to the true function is small. In particular, leveraging mixed-monotone inclusion functions,…

Optimization and Control · Mathematics 2022-09-26 Mohammad Khajenejad , Sonia Martinez

This paper develops a novel differentially private framework to solve convex optimization problems with sensitive optimization data and complex physical or operational constraints. Unlike standard noise-additive algorithms, that act…

Cryptography and Security · Computer Science 2020-06-23 Vladimir Dvorkin , Ferdinando Fioretto , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

Privacy-preserving average consensus aims to guarantee the privacy of initial states and asymptotic consensus on the exact average of the initial value. In existing work, it is achieved by adding and subtracting variance decaying and…

Systems and Control · Computer Science 2017-02-10 Jianping He , Lin Cai , Chengcheng Zhao , Peng Cheng , Xinping Guan

In this work, we introduce a new approach for statistical quantification of differential privacy in a black box setting. We present estimators and confidence intervals for the optimal privacy parameter of a randomized algorithm $A$, as well…

Cryptography and Security · Computer Science 2022-05-03 Önder Askin , Tim Kutta , Holger Dette

In this paper, we consider a remote state estimation problem in the presence of an eavesdropper. A smart sensor takes measurement of a discrete linear time-invariant (LTI) process and sends its local state estimate through a wireless…

Systems and Control · Computer Science 2019-03-29 Lingying Huang , Alex S. Leong , Daniel E. Quevedo , Ling Shi

This paper presents a privacy-preserving event detection scheme based on measurements made by a network of sensors. A diameter-like decision statistic made up of the marginal types of the measurements observed by the sensors is employed.…

Information Theory · Computer Science 2025-05-06 Xiaoshan Wang , Tan F. Wong

Ensuring privacy of sensitive data is essential in many contexts, such as healthcare data, banks, e-commerce, wireless sensor networks, and social networks. It is common that different entities coordinate or want to rely on a third party to…

Cryptography and Security · Computer Science 2014-06-16 Pradeep Chathuranga Weeraddana , George Athanasiou , Martin Jakobsson , Carlo Fischione , John S. Baras

Differential privacy is a cryptographically-motivated definition of privacy which has gained significant attention over the past few years. Differentially private solutions enforce privacy by adding random noise to a function computed over…

Machine Learning · Computer Science 2012-07-03 Kamalika Chaudhuri , Daniel Hsu

Recently, the problem of privacy amplification with an active adversary has received a lot of attention. Given a shared n-bit weak random source X with min-entropy k and a security parameter s, the main goal is to construct an explicit…

Cryptography and Security · Computer Science 2012-11-06 Xin Li

Convex optimization with feedback is a framework where a learner relies on iterative queries and feedback to arrive at the minimizer of a convex function. It has gained considerable popularity thanks to its scalability in large-scale…

Machine Learning · Statistics 2021-10-26 Jiaming Xu , Kuang Xu , Dana Yang

This paper is concerned with the security problem for interconnected systems, where each subsystem is required to detect local attacks using locally available information and the information received from its neighboring subsystems.…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Haojun Wang , Kun Liu , Baojia Li , Emilia Fridman , Yuanqing Xia

We consider private function evaluation to provide query responses based on private data of multiple untrusted entities in such a way that each cannot learn something substantially new about the data of others. First, we introduce perfect…

Information Theory · Computer Science 2020-10-21 Farhad Farokhi , Girish Nair