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Transparency and explainability are two important aspects to be considered when employing black-box machine learning models in high-stake applications. Providing counterfactual explanations is one way of catering this requirement. However,…

Information Theory · Computer Science 2025-08-06 Shreya Meel , Mohamed Nomeir , Pasan Dissanayake , Sanghamitra Dutta , Sennur Ulukus

Entropy measures of probability distributions are widely used measures in ecology, biology, genetics, and in other fields, to quantify species diversity of a community. Unfortunately, entropy-based diversity indices, or diversity indices…

Populations and Evolution · Quantitative Biology 2014-08-14 Karim T. Abou-Moustafa

Information theory plays a central role in establishing fundamental limits on what any learning or estimation algorithm can -- and cannot -- achieve, regardless of computational power. In this chapter, we provide an introduction to these…

Information Theory · Computer Science 2026-05-11 Abbas El Gamal , Maxim Raginsky

Preserving the privacy of preferences (or rewards) of a sequential decision-making agent when decisions are observable is crucial in many physical and cybersecurity domains. For instance, in wildlife monitoring, agents must allocate…

Artificial Intelligence · Computer Science 2024-07-16 Shashank Reddy Chirra , Pradeep Varakantham , Praveen Paruchuri

User profiling is crucial in providing personalised services, as it relies on analysing user behaviour and preferences to deliver targeted services. This approach enhances user experience and promotes heightened engagement. Nevertheless,…

Cryptography and Security · Computer Science 2025-07-07 Imdad Ullah , Najm Hassan , Tariq Ahamed Ahangar , Zawar Hussain Shah , Mehregan Mahdavi , Andrew Levula

The Principle of Maximum Entropy is a rigorous technique for estimating an unknown distribution given partial information while simultaneously minimizing bias. However, an important requirement for applying the principle is that the…

Information Theory · Computer Science 2026-02-03 Kenneth Bogert , Matthew Kothe

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

This paper consists of two parts. In the first part, we develop a new information theory, in which it is not a coincidence that information and physical entropy share the same mathematical formula. It is an adaptation of mind to help search…

Information Theory · Computer Science 2007-07-13 Jing Chen

Several tasks in information retrieval (IR) rely on assumptions regarding the distribution of some property (such as term frequency) in the data being processed. This thesis argues that such distributional assumptions can lead to incorrect…

Information Retrieval · Computer Science 2019-04-02 Casper Petersen

There is an increasing concern that most current published research findings are false. The main cause seems to lie in the fundamental disconnection between theory and practice in data analysis. While the former typically relies on…

Machine Learning · Statistics 2019-03-06 Amedeo Roberto Esposito , Michael Gastpar , Ibrahim Issa

We study statistical risk minimization problems under a privacy model in which the data is kept confidential even from the learner. In this local privacy framework, we establish sharp upper and lower bounds on the convergence rates of…

Machine Learning · Statistics 2013-10-11 John C. Duchi , Michael I. Jordan , Martin J. Wainwright

Consider a pair of random variables $(X,Y)$ distributed according to a given joint distribution $p_{XY}$. A curator wishes to maximally disclose information about $Y$, while limiting the information leakage incurred on $X$. Adopting mutual…

Information Theory · Computer Science 2023-01-30 Borzoo Rassouli , Deniz Gündüz

We revisit the distributed hypothesis testing (or hypothesis testing with communication constraints) problem from the viewpoint of privacy. Instead of observing the raw data directly, the transmitter observes a sanitized or randomized…

Information Theory · Computer Science 2019-06-26 Atefeh Gilani , Selma Belhadj Amor , Sadaf Salehkalaibar , Vincent Y. F. Tan

This paper introduces a novel lower bound on communication complexity using quantum relative entropy and mutual information, refining previous classical entropy-based results. By leveraging Uhlmann's lemma and quantum Pinsker inequalities,…

Quantum Physics · Physics 2025-07-29 Fengxia Liu , Zhiyong Zheng , Kun Tian , Yi Zhang , Heng Guo , Zhe Hu , Oleksiy Zhedanov , Zixian Gong

This dissertation investigates relative entropies, also called generalized divergences, and how they can be used to characterize information-theoretic tasks in quantum information theory. The main goal is to further refine characterizations…

Quantum Physics · Physics 2016-11-29 Felix Leditzky

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

Data containing human or social attributes may over- or under-represent groups with respect to salient social attributes such as gender or race, which can lead to biases in downstream applications. This paper presents an algorithmic…

Machine Learning · Computer Science 2020-07-01 L. Elisa Celis , Vijay Keswani , Nisheeth K. Vishnoi

Differential privacy (DP) data synthesizers support public release of sensitive information, offering theoretical guarantees for privacy but limited evidence of utility in practical settings. Utility is typically measured as the error on…

In this work we investigate the asymptotic behavior related to the quantum privacy for multipartite systems. In this context, an inequality for quantum privacy was obtained by exploiting of quantum entropy properties. Subsequently, we…

Quantum Physics · Physics 2016-03-11 M. A. S Trindade , E. Pinto

Information-theoretic quantities, such as entropy, are used to quantify the amount of information a given variable provides. Entropies can be used together to compute the mutual information, which quantifies the amount of information two…

Data Analysis, Statistics and Probability · Physics 2014-12-22 Kevin H. Knuth , Deniz Gençağa , William B. Rossow
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