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Working under a model of privacy in which data remains private even from the statistician, we study the tradeoff between privacy guarantees and the utility of the resulting statistical estimators. We prove bounds on information-theoretic…

Statistics Theory · Mathematics 2014-08-28 John C. Duchi , Michael I. Jordan , Martin J. Wainwright

This paper investigates the optimal privacy-aware networked control problem, in which the dynamical system affected by a private input process sends its measurement to a remote controller after stochastic quantization. An adversary seeks to…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Chuanghong Weng , Ehsan Nekouei

Opacity is a generic security property, that has been defined on (non probabilistic) transition systems and later on Markov chains with labels. For a secret predicate, given as a subset of runs, and a function describing the view of an…

Cryptography and Security · Computer Science 2014-09-02 Béatrice Bérard , Krishnendu Chatterjee , Nathalie Sznajder

A new class of stochastic processes called independent and periodically identically distributed (i.p.i.d.) processes is defined to capture periodically varying statistical behavior. Algorithms are proposed to detect changes in such i.p.i.d.…

Statistics Theory · Mathematics 2018-10-31 Taposh Banerjee , Prudhvi Gurram , Gene Whipps

We propose an operational measure of information leakage in a non-stochastic setting to formalize privacy against a brute-force guessing adversary. We use uncertain variables, non-probabilistic counterparts of random variables, to construct…

Information Theory · Computer Science 2021-01-29 Farhad Farokhi , Ni Ding

In this paper, we consider a multi-sensor estimation problem wherein each sensor collects noisy information about its local process, which is only observed by that sensor, and a common process, which is simultaneously observed by all…

Optimization and Control · Mathematics 2018-02-05 Ehsan Nekouei , Mikael Skoglund , Karl H. Johansson

This paper studies the problem of remote state estimation in the presence of a passive eavesdropper. A sensor measures a linear plant's state and transmits it to an authorized user over a packet-dropping channel, which is susceptible to…

Systems and Control · Computer Science 2018-09-21 Anastasios Tsiamis , Konstantinos Gatsis , George Pappas

This paper investigates optimal portfolio strategies in a market where the drift is driven by an unobserved Markov chain. Information on the state of this chain is obtained from stock prices and expert opinions in the form of signals at…

Portfolio Management · Quantitative Finance 2016-02-03 Rüdiger Frey , Abdelali Gabih , Ralf Wunderlich

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

A wide variety of privacy metrics have been proposed in the literature to evaluate the level of protection offered by privacy enhancing-technologies. Most of these metrics are specific to concrete systems and adversarial models, and are…

Information Theory · Computer Science 2012-11-14 David Rebollo-Monedero , Javier Parra-Arnau , Claudia Diaz , Jordi Forné

Rigorous privacy mechanisms that can cope with dynamic data are required to encourage a wider adoption of large-scale monitoring and decision systems relying on end-user information. A promising approach to develop these mechanisms is to…

Databases · Computer Science 2013-04-09 Jerome Le Ny

We study distributed estimation and learning problems in a networked environment where agents exchange information to estimate unknown statistical properties of random variables from their privately observed samples. The agents can…

Machine Learning · Computer Science 2024-04-02 Marios Papachristou , M. Amin Rahimian

We study the optimal design of stealthy attacks against partially observed linear control systems. We first propose a novel likelihood-based detection mechanism derived from the innovation process, based on which we quantify stealthiness…

Optimization and Control · Mathematics 2026-05-12 Haosheng Zhou , Ruimeng Hu

Most of the literature on differential privacy considers the item-level case where each user has a single observation, but a growing field of interest is that of user-level privacy where each of the $n$ users holds $T$ observations and…

Statistics Theory · Mathematics 2026-01-21 Alexander Kent , Thomas B. Berrett , Yi Yu

The exponential growth of collected, processed, and shared data has given rise to concerns about individuals' privacy. Consequently, various laws and regulations have been established to oversee how organizations handle and safeguard data.…

Cryptography and Security · Computer Science 2023-12-20 Wenjun Lin , Jiahao Qian , Wenwen Liu , Lang Wu

This paper investigates the privacy-preserving distributed optimization problem, aiming to protect agents' private information from potential attackers during the optimization process. Gradient tracking, an advanced technique for improving…

Machine Learning · Computer Science 2025-09-24 Furan Xie , Bing Liu , Li Chai

Motivated by applications arising in networked systems, this work examines controlled regime-switching systems that stem from a mean-variance formulation. A main point is that the switching process is a hidden Markov chain. An additional…

Optimization and Control · Mathematics 2014-01-21 Zhixin Yang , George Yin , Qing Zhang

The modeling of natural phenomena via a Markov process --- a process for which the future is independent of the past, given the present--- is ubiquitous in many fields of science. Within this context, it is of foremost importance to develop…

Quantum Physics · Physics 2020-03-24 Matheus Capela , Lucas C. Céleri , Kavan Modi , Rafael Chaves

Suppose an online platform wants to compare a treatment and control policy, e.g., two different matching algorithms in a ridesharing system, or two different inventory management algorithms in an online retail site. Standard randomized…

Methodology · Statistics 2022-12-27 Peter Glynn , Ramesh Johari , Mohammad Rasouli

Imperfect secrecy in communication systems is investigated. Instead of using equivocation as a measure of secrecy, the distortion that an eavesdropper incurs in producing an estimate of the source sequence is examined. The communication…

Information Theory · Computer Science 2012-10-09 Curt Schieler , Eva C. Song , Paul Cuff , H. Vincent Poor
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