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Information theory is introduced in this lecture note with a particular emphasis on its relevance to algebraic coding theory. The document develops the mathematical foundations for quantifying uncertainty and information transmission by…

Information Theory · Computer Science 2025-12-08 El Mahdi Mouloua , Essaid Mohamed

We propose an approach on model checking information flow for imperative language with procedures. We characterize our model with pushdown system, which has a stack of unbounded length that naturally models the execution of procedural…

Cryptography and Security · Computer Science 2010-12-15 Cong Sun , Liyong Tang , Zhong Chen

We develop a new notion of security against timing attacks where the attacker is able to simultaneously observe the execution time of a program and the probability of the values of low variables. We then show how to measure the security of…

Cryptography and Security · Computer Science 2008-07-25 Alessandra Di Pierro , Chris Hankin , Herbert Wiklicky

The logic of information flows (LIF) is a general framework in which tasks of a procedural nature can be modeled in a declarative, logic-based fashion. The first contribution of this paper is to propose semantic and syntactic definitions of…

Logic in Computer Science · Computer Science 2022-09-15 Heba Aamer , Bart Bogaerts , Dimitri Surinx , Eugenia Ternovska , Jan Van den Bussche

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

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

In this paper we propose a novel index to quantify and measure the flow of information on macro and micro scales. We discuss the implications of this index for knowledge management fields and also as intellectual capital that can thus be…

Social and Information Networks · Computer Science 2011-06-15 Vikram Dhillon

We adopt an information-theoretic framework to analyze the generalization behavior of the class of iterative, noisy learning algorithms. This class is particularly suitable for study under information-theoretic metrics as the algorithms are…

Machine Learning · Computer Science 2023-07-20 Ibrahim Issa , Amedeo Roberto Esposito , Michael Gastpar

A well-interpretable measure of information has been recently proposed based on a partition obtained by intersecting a random sequence with its moving average. The partition yields disjoint sets of the sequence, which are then ranked…

Statistical Finance · Quantitative Finance 2018-08-01 Linda Ponta , Anna Carbone

Information entropic measures such as Fisher information, Shannon entropy, Onicescu energy and Onicescu Shannon entropy of a symmetric double-well potential are calculated in both position and momentum space. Eigenvalues and eigenvectors of…

Quantum Physics · Physics 2019-04-26 Neetik Mukherjee , Arunesh Roy , Amlan K. Roy

The security in information-flow has become a major concern for cyber-physical systems (CPSs). In this work, we focus on the analysis of an information-flow security property, called opacity. Opacity characterizes the plausible deniability…

Systems and Control · Electrical Eng. & Systems 2021-10-29 Siyuan Liu , Abdalla Swikir , Majid Zamani

For a certain moment, the information volume represented in a probability space can be accurately measured by Shannon entropy. But in real life, the results of things usually change over time, and the prediction of the information volume…

Information Theory · Computer Science 2020-12-15 Qianli Zhou , Yong Deng

In security-critical software applications, confidential information must be prevented from leaking to unauthorized sinks. Static analysis techniques are widespread to enforce a secure information flow by checking a program after…

Cryptography and Security · Computer Science 2022-08-05 Tobias Runge , Alexander Kittelmann , Marco Servetto , Alex Potanin , Ina Schaefer

We live in the information age. Claude Shannon, as the father of the information age, gave us a theory of communications that quantified an "amount of information," but, as he pointed out, "no concept of information itself was defined."…

Information Theory · Computer Science 2021-12-06 David Ellerman

The advantages of quantum information processing are in many cases obtained as consequences of quantum interactions, especially for computational tasks where two-qubit interactions are essential. In this work, we establish the framework of…

Quantum Physics · Physics 2019-09-11 Sudipto Singha Roy , Joonwoo Bae

Information is a valuable asset for agents in socio-economic systems, a significant part of the information being entailed into the very network of connections between agents. The different interlinkages patterns that agents establish may,…

Social and Information Networks · Computer Science 2018-07-20 Paolo Barucca , Guido Caldarelli , Tiziano Squartini

Information flow guided synthesis is a compositional approach to the automated construction of distributed systems where the assumptions between the components are captured as information-flow requirements. Information-flow requirements are…

Logic in Computer Science · Computer Science 2024-07-18 Bernd Finkbeiner , Niklas Metzger , Yoram Moses

This paper presents an approach for identification of vulnerable IoT applications. The approach focuses on a category of vulnerabilities that leads to sensitive information leakage which can be identified by using taint flow analysis.…

Cryptography and Security · Computer Science 2022-01-11 Hajra Naeem , Manar H. Alalfi

The quantification of aleatoric and epistemic uncertainty in terms of conditional entropy and mutual information, respectively, has recently become quite common in machine learning. While the properties of these measures, which are rooted…

Machine Learning · Computer Science 2023-06-27 Lisa Wimmer , Yusuf Sale , Paul Hofman , Bern Bischl , Eyke Hüllermeier

The interplay of optimizers and architectures in neural networks is complicated and hard to understand why some optimizers work better on some specific architectures. In this paper, we find that the traditionally used sharpness metric does…

Machine Learning · Computer Science 2025-03-03 Zhiquan Tan , Weiran Huang
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