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We propose a novel theoretical and methodological framework for Gaussian process regression subject to privacy constraints. The proposed method can be used when a data owner is unwilling to share a high-fidelity supervised learning model…

Machine Learning · Computer Science 2025-10-14 Rui Tuo , Haoyuan Chen , Raktim Bhattacharya

We present a framework for designing distorting mechanisms that allow remotely operating anomaly detectors while preserving privacy. We consider the problem setting in which a remote station seeks to identify anomalies using system…

Systems and Control · Electrical Eng. & Systems 2023-09-08 Haleh Hayati , Carlos Murguia , Nathan van de Wouw

Distributed data sharing in dynamic networks is ubiquitous. It raises the concern that the private information of dynamic networks could be leaked when data receivers are malicious or communication channels are insecure. In this paper, we…

Optimization and Control · Mathematics 2019-12-18 Yang Lu , Minghui Zhu

We address the problem of maximizing privacy of stochastic dynamical systems whose state information is released through quantized sensor data. In particular, we consider the setting where information about the system state is obtained…

Systems and Control · Electrical Eng. & Systems 2021-01-25 Carlos Murguia , Iman Shames , Farhad Farokhi. Dragan Nesic , Vincent Poor

We address the problem of synthesizing distorting mechanisms that maximize privacy of stochastic dynamical systems. Information about the system state is obtained through sensor measurements. This data is transmitted to a remote station…

Cryptography and Security · Computer Science 2021-08-05 Haleh Hayati , Carlos Murguia , Nathan van de Wouw

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

Gaussian processes (GPs) are non-parametric Bayesian models that are widely used for diverse prediction tasks. Previous work in adding strong privacy protection to GPs via differential privacy (DP) has been limited to protecting only the…

Machine Learning · Computer Science 2021-11-12 Antti Honkela , Laila Melkas

In practice, differentially private data releases are designed to support a variety of applications. A data release is fit for use if it meets target accuracy requirements for each application. In this paper, we consider the problem of…

Databases · Computer Science 2021-06-15 Yingtai Xiao , Zeyu Ding , Yuxin Wang , Danfeng Zhang , Daniel Kifer

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

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 manuscript, we provide a set of tools (in terms of semidefinite programs) to synthesize Gaussian mechanisms to maximize privacy of databases. Information about the database is disclosed through queries requested by (potentially)…

Systems and Control · Electrical Eng. & Systems 2022-03-30 Haleh Hayati , Carlos Murguia , Nathan van de Wouw

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 investigate unbiased high-dimensional mean estimators in differential privacy. We consider differentially private mechanisms whose expected output equals the mean of the input dataset, for every dataset drawn from a fixed bounded…

Statistics Theory · Mathematics 2023-12-22 Aleksandar Nikolov , Haohua Tang

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

In this paper, we study the fundamental limits of obfuscation in terms of privacy-distortion tradeoffs for linear Gaussian dynamical systems via an information-theoretic approach. Particularly, we obtain analytical formulas that capture the…

Information Theory · Computer Science 2020-11-03 Song Fang , Quanyan Zhu

Privacy breaches of cyber-physical systems could expose vulnerabilities to an adversary. Here, privacy leaks of step inputs to linear-time-invariant systems are mitigated through additive Gaussian noise. Fundamental lower bounds on the…

Systems and Control · Electrical Eng. & Systems 2020-09-09 Rijad Alisic , Marco Molinari , Philip E. Paré , Henrik Sandberg

We consider the problem of publicly releasing a dataset for support vector machine classification while not infringing on the privacy of data subjects (i.e., individuals whose private information is stored in the dataset). The dataset is…

Cryptography and Security · Computer Science 2020-01-01 Farhad Farokhi

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

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

As a quantitative criterion for privacy of "mechanisms" in the form of data-generating processes, the concept of differential privacy was first proposed in computer science and has later been applied to linear dynamical systems. However,…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Yu Kawano , Ming Cao
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