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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

Data publishing under privacy constraints can be achieved with mechanisms that add randomness to data points when released to an untrusted party, thereby decreasing the data's utility. In this paper, we analyze this privacy-utility tradeoff…

Information Theory · Computer Science 2024-08-28 Leonhard Grosse , Sara Saeidian , Tobias Oechtering

We study privacy guarantees in the framework of pointwise maximal leakage (PML) that satisfy two requirements: they are robust under post-processing and upper bound the failure probability, i.e., the probability that the information leakage…

Cryptography and Security · Computer Science 2026-05-21 Sara Saeidian , Carlos Pinzón , Catuscia Palamidessi

This paper introduces a paradigm shift in the way privacy is defined, driven by a novel interpretation of the fundamental result of Dwork and Naor about the impossibility of absolute disclosure prevention. We propose a general model of…

Cryptography and Security · Computer Science 2024-10-28 Sara Saeidian , Giulia Cervia , Tobias J. Oechtering , Mikael Skoglund

Pointwise maximal leakage (PML) is a per-outcome privacy measure based on threat models from quantitative information flow. Privacy guarantees with PML rely on knowledge about the distribution that generated the private data. In this work,…

Cryptography and Security · Computer Science 2025-09-29 Leonhard Grosse , Sara Saeidian , Mikael Skoglund , Tobias J. Oechtering

We propose a discrete privacy mechanism exploiting beneficial properties of the novel privacy measure Pointwise Maximal Leakage (PML). Given the utility assignment characterized by every input-output letter pair, we study the mechanism…

Information Theory · Computer Science 2026-05-20 Ci Song , Tobias J. Oechtering

We introduce a privacy measure called statistic maximal leakage that quantifies how much a privacy mechanism leaks about a specific secret, relative to the adversary's prior information about that secret. Statistic maximal leakage is an…

Information Theory · Computer Science 2024-11-28 Shuaiqi Wang , Zinan Lin , Giulia Fanti

Given two random variables $X$ and $Y$, an operational approach is undertaken to quantify the ``leakage'' of information from $X$ to $Y$. The resulting measure $\mathcal{L}(X \!\! \to \!\! Y)$ is called \emph{maximal leakage}, and is…

Information Theory · Computer Science 2018-07-23 Ibrahim Issa , Aaron B. Wagner , Sudeep Kamath

We introduce the study of information leakage through \emph{guesswork}, the minimum expected number of guesses required to guess a random variable. In particular, we define \emph{maximal guesswork leakage} as the multiplicative decrease,…

Information Theory · Computer Science 2024-05-07 Gowtham R. Kurri , Malhar Managoli , Vinod M. Prabhakaran

Data-driven advancements significantly contribute to societal progress, yet they also pose substantial risks to privacy. In this landscape, differential privacy (DP) has become a cornerstone in privacy preservation efforts. However, the…

Cryptography and Security · Computer Science 2025-02-11 Sara Saeidian , Tobias J. Oechtering , Mikael Skoglund

We study the pointwise maximal leakage (PML) envelope of the Gaussian mechanism, which characterizes the smallest information leakage bound that holds with high probability under arbitrary post-processing. For the Gaussian mechanism with a…

Information Theory · Computer Science 2026-01-15 Sara Saeidian

This paper explores the implications of guaranteeing privacy by imposing a lower bound on the information density between the private and the public data. We introduce a novel and operationally meaningful privacy measure called pointwise…

Information Theory · Computer Science 2026-03-17 Sara Saeidian , Leonhard Grosse , Parastoo Sadeghi , Mikael Skoglund , Tobias J. Oechtering

Maximal $\alpha$-leakage is a tunable measure of information leakage based on the accuracy of guessing an arbitrary function of private data based on public data. The parameter $\alpha$ determines the loss function used to measure the…

Information Theory · Computer Science 2019-04-08 Jiachun Liao , Lalitha Sankar , Oliver Kosut , Flavio P. Calmon

A tunable measure for information leakage called \textit{maximal $\alpha$-leakage} is introduced. This measure quantifies the maximal gain of an adversary in refining a tilted version of its prior belief of any (potentially random) function…

Information Theory · Computer Science 2018-06-12 Jiachun Liao , Oliver Kosut , Lalitha Sankar , Flavio P. Calmon

Information theoretic leakage metrics quantify the amount of information about a private random variable $X$ that is leaked through a correlated revealed variable $Y$. They can be used to evaluate the privacy of a system in which an…

Information Theory · Computer Science 2025-05-15 Sophie Taylor , Praneeth Kumar Vippathalla , Justin P. Coon

The problem of publishing privacy-guaranteed data for hypothesis testing is studied using the maximal leakage (ML) as a metric for privacy and the type-II error exponent as the utility metric. The optimal mechanism (random mapping) that…

Information Theory · Computer Science 2017-04-12 Jiachun Liao , Lalitha Sankar , Flavio P. Calmon , Vincent Y. F. Tan

Privacy preservation has served as a key metric in designing Nash equilibrium (NE) computation algorithms. Although differential privacy (DP) has been widely employed for privacy guarantees, it does not exploit prior distributional…

Computer Science and Game Theory · Computer Science 2025-10-27 Zhaoyang Cheng , Guanpu Chen , Tobias J. Oechtering , Mikael Skoglund

Maximal leakage quantifies the leakage of information from data $X \in \mathcal{X}$ due to an observation $Y$. While fundamental properties of maximal leakage, such as data processing, sub-additivity, and its connection to mutual…

Information Theory · Computer Science 2025-12-24 Anuran Makur , Japneet Singh

We introduce a family of information leakage measures called maximal $\alpha,\beta$-leakage, parameterized by real numbers $\alpha$ and $\beta$. The measure is formalized via an operational definition involving an adversary guessing an…

Information Theory · Computer Science 2022-11-29 Atefeh Gilani , Gowtham R. Kurri , Oliver Kosut , Lalitha Sankar

We analyze the privacy guarantees of the Laplace mechanism releasing the histogram of a dataset through the lens of pointwise maximal leakage (PML). While differential privacy is commonly used to quantify the privacy loss, it is a…

Cryptography and Security · Computer Science 2025-08-27 Sara Saeidian , Ata Yavuzyılmaz , Leonhard Grosse , Georg Schuppe , Tobias J. Oechtering
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