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We consider the problem of communication-constrained collaborative personalized mean estimation under a privacy constraint in an environment of several agents continuously receiving data according to arbitrary unknown agent-specific…

Social and Information Networks · Computer Science 2025-11-10 Yauhen Yakimenka , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

We study mean estimation for Gaussian distributions under \textit{personalized differential privacy} (PDP), where each record has its own privacy budget. PDP is commonly considered in two variants: \textit{bounded} and \textit{unbounded}…

Data Structures and Algorithms · Computer Science 2026-01-23 Wei Dong , Li Ge

Consider statistical learning (e.g. discrete distribution estimation) with local $\epsilon$-differential privacy, which preserves each data provider's privacy locally, we aim to optimize statistical data utility under the privacy…

Information Theory · Computer Science 2016-07-28 Shaowei Wang , Liusheng Huang , Pengzhan Wang , Yiwen Nie , Hongli Xu , Wei Yang , Xiang-Yang Li , Chunming Qiao

In this paper, we propose a sparse signal estimation algorithm that is suitable for many wireless communication systems, especially for the future millimeter wave and underwater communication systems. This algorithm is not only…

Information Theory · Computer Science 2018-07-20 Chongwen Huang , Lei Liu , Chau Yuen

Differential privacy is a formal mathematical {stand-ard} for quantifying the degree of that individual privacy in a statistical database is preserved. To guarantee differential privacy, a typical method is adding random noise to the…

Information Theory · Computer Science 2017-03-08 Jianping He , Lin Cai

We introduce a privacy measure called pointwise maximal leakage, generalizing the pre-existing notion of maximal leakage, which quantifies the amount of information leaking about a secret $X$ by disclosing a single outcome of a (randomized)…

Information Theory · Computer Science 2023-08-16 Sara Saeidian , Giulia Cervia , Tobias J. Oechtering , Mikael Skoglund

Many modern statistical analysis and machine learning applications require training models on sensitive user data. Under a formal definition of privacy protection, differentially private algorithms inject calibrated noise into the…

Machine Learning · Statistics 2025-04-01 Yifei Xiong , Nianqiao Phyllis Ju , Sanguo Zhang

An information-theoretic privacy mechanism design is studied, where an agent observes useful data $Y$ which is correlated with the private data $X$. The agent wants to reveal the information to a user, hence, the agent utilizes a privacy…

Information Theory · Computer Science 2026-01-09 Amirreza Zamani , Parastoo Sadeghi , Mikael Skoglund

This paper investigates the mean square error (MSE)-optimal conditional mean estimator (CME) in one-bit quantized systems in the context of channel estimation with jointly Gaussian inputs. We analyze the relationship of the generally…

Information Theory · Computer Science 2023-06-28 Benedikt Fesl , Michael Koller , Wolfgang Utschick

We study the mean estimation problem under communication and local differential privacy constraints. While previous work has proposed \emph{order}-optimal algorithms for the same problem (i.e., asymptotically optimal as we spend more bits),…

Machine Learning · Computer Science 2023-10-31 Berivan Isik , Wei-Ning Chen , Ayfer Ozgur , Tsachy Weissman , Albert No

In this paper, we study a privacy filter design problem for a sequence of sensor measurements whose joint probability density function (p.d.f.) depends on a private parameter. To ensure parameter privacy, we propose a filter design…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Ehsan Nekouei , Henrik Sandberg , Mikael Skoglund , Karl H. Johansson

Integrated sensing and communication is regarded as a key enabler for next-generation wireless networks. To optimize the transmitted waveform for both sensing and communication, various performance metrics must be considered. This work…

The minimum mean-square error of the estimation of a signal where observed from the additive white Gaussian noise (WGN) channel's output, is analyzed. It is assumed that the channel input's signal is composed of a (normalized) sum of N…

Information Theory · Computer Science 2007-07-13 Jacob Binia

We adopt and expand McDonald's (2011) regression framework for measurement precision, integrating two key perspectives: (a) reliability of observed scores and (b) optimal prediction of latent scores. Reliability arises from a measurement…

Methodology · Statistics 2025-06-23 Yang Liu , Jolynn Pek , Alberto Maydeu-Olivares

We study the problem of estimating finite sample confidence intervals of the mean of a normal population under the constraint of differential privacy. We consider both the known and unknown variance cases and construct differentially…

Cryptography and Security · Computer Science 2017-11-13 Vishesh Karwa , Salil Vadhan

We propose a practical methodology to protect a user's private data, when he wishes to publicly release data that is correlated with his private data, in the hope of getting some utility. Our approach relies on a general statistical…

Cryptography and Security · Computer Science 2015-10-28 Salman Salamatian , Amy Zhang , Flavio du Pin Calmon , Sandilya Bhamidipati , Nadia Fawaz , Branislav Kveton , Pedro Oliveira , Nina Taft

A key concern for AI safety remains understudied in the machine learning (ML) literature: how can we ensure users of ML models do not leverage predictions on incorrect personal data to harm others? This is particularly pertinent given the…

Machine Learning · Computer Science 2025-10-01 Muhammad H. Ashiq , Peter Triantafillou , Hung Yun Tseng , Grigoris G. Chrysos

Privacy is crucial in many applications of machine learning. Legal, ethical and societal issues restrict the sharing of sensitive data making it difficult to learn from datasets that are partitioned between many parties. One important…

Machine Learning · Statistics 2018-09-21 Christina Heinze-Deml , Brian McWilliams , Nicolai Meinshausen

This paper studies an information-theoretic one-shot variable-length secret key agreement problem with public discussion. Let $X$ and $Y$ be jointly distributed random variables, each taking values in some measurable space. Alice and Bob…

Information Theory · Computer Science 2021-09-21 Cheuk Ting Li , Venkat Anantharam

Differential privacy (DP) is a mathematical privacy notion increasingly deployed across government and industry. With DP, privacy protections are probabilistic: they are bounded by the privacy budget parameter, $\epsilon$. Prior work in…

Cryptography and Security · Computer Science 2023-03-02 Priyanka Nanayakkara , Mary Anne Smart , Rachel Cummings , Gabriel Kaptchuk , Elissa Redmiles