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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

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

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

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

In this paper, we present several novel representations of $\alpha$-mutual information ($\alpha$-MI) in terms of R{\' e}nyi divergence and conditional R{\' e}nyi entropy. The representations are based on the variational characterizations of…

Information Theory · Computer Science 2025-05-01 Akira Kamatsuka , Takashiro Yoshida

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

For $\tilde{f}(t) = \exp(\frac{\alpha-1}{\alpha}t)$, this paper shows that the Sibson mutual information is an $\alpha$-leakage averaged over the adversary's $\tilde{f}$-mean relative information gain (on the secret) at elementary event of…

Information Theory · Computer Science 2025-10-09 Ni Ding , Farhad Farokhi , Tao Guo , Yinfei Xu , Xiang Zhang

We leverage the Gibbs inequality and its natural generalization to R\'enyi entropies to derive closed-form parametric expressions of the optimal lower bounds of $\rho$th-order guessing entropy (guessing moment) of a secret taking values on…

Information Theory · Computer Science 2024-01-31 Julien Béguinot , Olivier Rioul

A new measure of information leakage for quantum encoding of classical data is defined. An adversary can access a single copy of the state of a quantum system that encodes some classical data and is interested in correctly guessing a…

Quantum Physics · Physics 2024-02-20 Farhad Farokhi

We treat secret key extraction when the eavesdropper has correlated quantum states. We propose quantum privacy amplification theorems different from Renner's, which are based on quantum conditional R\'{e}nyi entropy of order 1+s. Using…

Quantum Physics · Physics 2016-09-28 Masahito Hayashi

Barycentric and pairwise quantum Renyi leakages are proposed as two measures of information leakage for privacy and security analysis in quantum computing and communication systems. These quantities both require minimal assumptions on the…

Quantum Physics · Physics 2024-02-12 Farhad Farokhi

For $\tilde{f}(t) = \exp(\frac{\alpha-1}{\alpha}t)$, this paper proposes a $\tilde{f}$-mean information gain measure. R\'{e}nyi divergence is shown to be the maximum $\tilde{f}$-mean information gain incurred at each elementary event $y$ of…

Information Theory · Computer Science 2024-07-04 Ni Ding , Mohammad Amin Zarrabian , Parastoo Sadeghi

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

We introduce a \emph{gain function} viewpoint of information leakage by proposing \emph{maximal $g$-leakage}, a rich class of operationally meaningful leakage measures that subsumes recently introduced leakage measures -- {maximal leakage}…

Information Theory · Computer Science 2023-12-08 Gowtham R. Kurri , Lalitha Sankar , Oliver Kosut

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

This paper adopts Arimoto's $\alpha$-Mutual Information as a tunable privacy measure, in a privacy-preserving data release setting that aims to prevent disclosing private data to adversaries. By fine-tuning the privacy metric, we…

Machine Learning · Computer Science 2025-08-07 MirHamed Jafarzadeh Asl , Mohammadhadi Shateri , Fabrice Labeau

Machine learning models are known to memorize the unique properties of individual data points in a training set. This memorization capability can be exploited by several types of attacks to infer information about the training data, most…

Information Theory · Computer Science 2021-04-19 Sara Saeidian , Giulia Cervia , Tobias J. Oechtering , Mikael Skoglund

We introduce a family of information leakage measures called maximal $(\alpha,\beta)$-leakage (M$\alpha$beL), parameterized by real numbers $\alpha$ and $\beta$ greater than or equal to 1. The measure is formalized via an operational…

Information Theory · Computer Science 2024-04-08 Atefeh Gilani , Gowtham R. Kurri , Oliver Kosut , Lalitha Sankar

We present new methods for assessing the privacy guarantees of an algorithm with regard to R\'enyi Differential Privacy. To the best of our knowledge, this work is the first to address this problem in a black-box scenario, where only…

Cryptography and Security · Computer Science 2022-12-12 Tim Kutta , Önder Askin , Martin Dunsche

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
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