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We investigate a problem of finding the minimum, in which each user has a real value and we want to estimate the minimum of these values under the local differential privacy constraint. We reveal that this problem is fundamentally…

Statistics Theory · Mathematics 2019-05-28 Kazuto Fukuchi , Chia-Mu Yu , Arashi Haishima , Jun Sakuma

In this work, maximal $\alpha$-leakage is introduced to quantify how much a quantum adversary can learn about any sensitive information of data upon observing its disturbed version via a quantum privacy mechanism. We first show that an…

Quantum Physics · Physics 2024-03-22 Bo-Yu Yang , Hsuan Yu , Hao-Chung Cheng

Several randomization mechanisms for local differential privacy (LDP) (e.g., randomized response) are well-studied to improve the utility. However, recent studies show that LDP is generally vulnerable to malicious data providers in nature.…

Cryptography and Security · Computer Science 2021-06-10 Fumiyuki Kato , Yang Cao , Masatoshi Yoshikawa

Large language models (LLMs) have significantly transformed natural language understanding and generation, but they raise privacy concerns due to potential exposure of sensitive information. Studies have highlighted the risk of information…

Machine Learning · Computer Science 2025-11-20 Bishnu Bhusal , Manoj Acharya , Ramneet Kaur , Colin Samplawski , Anirban Roy , Adam D. Cobb , Rohit Chadha , Susmit Jha

A privacy mechanism design problem is studied through the lens of information theory. In this work, an agent observes useful data $Y=(Y_1,...,Y_N)$ that is correlated with private data $X=(X_1,...,X_N)$ which is assumed to be also…

Information Theory · Computer Science 2022-11-29 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

While significant progress has been made in conventional fairness-aware machine learning (ML) and differentially private ML (DPML), the fairness of privacy protection across groups remains underexplored. Existing studies have proposed…

Machine Learning · Computer Science 2025-11-18 Zhi Yang , Changwu Huang , Ke Tang , Xin Yao

In this paper, we study a stochastic disclosure control problem using information-theoretic methods. The useful data to be disclosed depend on private data that should be protected. Thus, we design a privacy mechanism to produce new data…

Information Theory · Computer Science 2021-03-24 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

Differential Privacy (DP) provides an elegant mathematical framework for defining a provable disclosure risk in the presence of arbitrary adversaries; it guarantees that whether an individual is in a database or not, the results of a DP…

Cryptography and Security · Computer Science 2021-08-19 Aleksandra Slavkovic , Roberto Molinari

One goal of statistical privacy research is to construct a data release mechanism that protects individual privacy while preserving information content. An example is a {\em random mechanism} that takes an input database $X$ and outputs a…

Statistics Theory · Mathematics 2012-01-11 Larry Wasserman , Shuheng Zhou

We propose a general statistical inference framework to capture the privacy threat incurred by a user that releases data to a passive but curious adversary, given utility constraints. We show that applying this general framework to the…

Information Theory · Computer Science 2012-10-09 Flavio du Pin Calmon , Nadia Fawaz

This paper presents a novel approach to classical linear regression, enabling model computation from data streams or in a distributed setting while preserving data privacy in federated environments. We extend this framework to generalized…

Computation · Statistics 2026-05-29 Daniel Tinoco , Raquel Menezes , Carlos Baquero

We consider a problem where mutually untrusting curators possess portions of a vertically partitioned database containing information about a set of individuals. The goal is to enable an authorized party to obtain aggregate (statistical)…

Cryptography and Security · Computer Science 2013-04-18 Bing-Rong Lin , Ye Wang , Shantanu Rane

We introduce a tunable measure for information leakage called maximal alpha-leakage. This measure quantifies the maximal gain of an adversary in inferring any (potentially random) function of a dataset from a release of the data. The…

Information Theory · Computer Science 2019-08-21 Jiachun Liao , Oliver Kosut , Lalitha Sankar , Flavio du Pin Calmon

The design of a statistical signal processing privacy problem is studied where the private data is assumed to be observable. In this work, an agent observes useful data $Y$, which is correlated with private data $X$, and wants to disclose…

Information Theory · Computer Science 2023-09-19 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

Designing privacy-preserving machine learning algorithms has received great attention in recent years, especially in the setting when the data contains sensitive information. Differential privacy (DP) is a widely used mechanism for data…

Machine Learning · Computer Science 2025-09-11 Chunyang Liao , Deanna Needell , Hayden Schaeffer , Alexander Xue

Differential privacy (DP) can be achieved in a distributed manner, where multiple parties add independent noise such that their sum protects the overall dataset with DP. A common technique here is for each party to sample their noise from…

Cryptography and Security · Computer Science 2025-04-08 Charlie Harrison , Pasin Manurangsi

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

We study efficient mechanisms for the query release problem in differential privacy: given a workload of $m$ statistical queries, output approximate answers to the queries while satisfying the constraints of differential privacy. In…

Data Structures and Algorithms · Computer Science 2018-11-12 Jaroslaw Blasiok , Mark Bun , Aleksandar Nikolov , Thomas Steinke

A striking result of [Acharya et al. 2017] showed that to estimate symmetric properties of discrete distributions, plugging in the distribution that maximizes the likelihood of observed multiset of frequencies, also known as the profile…

Statistics Theory · Mathematics 2020-11-03 Yanjun Han , Kirankumar Shiragur

Local differential privacy (LDP) has recently gained prominence as a powerful paradigm for collecting and analyzing sensitive data from users' devices. However, the inherent perturbation added by LDP protocols reduces the utility of the…

Cryptography and Security · Computer Science 2025-07-09 Alireza Khodaie , Berkay Kemal Balioglu , Mehmet Emre Gursoy
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