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Information flow analysis is a powerful technique for reasoning about the sensitive information exposed by a program during its execution. While past work has proposed information theoretic metrics (e.g., Shannon entropy, min-entropy,…

Cryptography and Security · Computer Science 2010-09-22 Ji Zhu , Mudhakar Srivatsa

The vacuum mutual information (MI) of subregion algebras provides a universal window into the data of general conformal field theories (CFTs). Exploiting the geometric nature of the modular flow associated to ball-shaped regions and the…

High Energy Physics - Theory · Physics 2026-04-23 César A. Agón , Pablo Bueno , Adem Deniz Piskin , Guido van der Velde

A conditional version of Sibson's $\alpha$-information is defined using a simple closed-form "log-expectation" expression, which satisfies important properties such as consistency, uniform expansion, and data processing inequalities. This…

Information Theory · Computer Science 2021-05-18 Yi Liu , Wei Cheng , Sylvain Guilley , Olivier Rioul

It is well known that a determined adversary can fool a neural network by making imperceptible adversarial perturbations to an image. Recent studies have shown that these perturbations can be detected even without information about the…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Siddharth Krishna Kumar

We prove a lower bound on the information leakage of any classical protocol computing the equality function in the simultaneous message passing (SMP) model. Our bound is valid in the finite length regime and is strong enough to demonstrate…

Computational Complexity · Computer Science 2016-07-27 Juan Miguel Arrazola , Dave Touchette

We present a new family of information-theoretic generalization bounds within the framework of conditional mutual information (CMI). Most of our results are established based on the leave-$m$-out (L$m$O) cross-validation error, with $m$…

Information Theory · Computer Science 2026-05-21 Yang Lu , Matthias Frey , Margreta Kuijper , Jingge Zhu

In this paper, we study measures of quantum non-Markovianity based on the conditional mutual information. We obtain such measures by considering multiple parts of the total environment such that the conditional mutual information can be…

Quantum Physics · Physics 2021-09-15 Zhiqiang Huang , Xiao-Kan Guo

Meta-learning optimizes an inductive bias---typically in the form of the hyperparameters of a base-learning algorithm---by observing data from a finite number of related tasks. This paper presents an information-theoretic bound on the…

Machine Learning · Computer Science 2021-02-09 Arezou Rezazadeh , Sharu Theresa Jose , Giuseppe Durisi , Osvaldo Simeone

Quantitative theories of information flow give us an approach to relax the absolute confidentiality properties that are difficult to satisfy for many practical programs. The classical information-theoretic approaches for sequential…

Cryptography and Security · Computer Science 2013-06-13 Tri Minh Ngo , Marieke Huisman

We derive a novel information-theoretic analysis of the generalization property of meta-learning algorithms. Concretely, our analysis proposes a generic understanding of both the conventional learning-to-learn framework and the modern…

Machine Learning · Computer Science 2021-12-13 Qi Chen , Changjian Shui , Mario Marchand

Mutual information I in infinite sequences (and in their finite prefixes) is essential in theoretical analysis of many situations. Yet its right definition has been elusive for a long time. I address it by generalizing Kolmogorov Complexity…

Computational Complexity · Computer Science 2021-08-03 Leonid A. Levin

The information leakage of a cryptographic implementation with a given degree of protection is evaluated in a typical situation when the signal-to-noise ratio is small. This is solved by expanding Kullback-Leibler divergence, entropy, and…

Information Theory · Computer Science 2021-02-05 Olivier Rioul , Wei Cheng , Sylvain Guilley

Quantum learning (in metrology and machine learning) involves estimating unknown parameters from measurements of quantum states. The quantum Fisher information matrix can bound the average amount of information learnt about the unknown…

Quantum Physics · Physics 2021-04-21 Joe H. Jenne , David R. M. Arvidsson-Shukur

Crowdsourced data used in machine learning services might carry sensitive information about attributes that users do not want to share. Various methods have been proposed to minimize the potential information leakage of sensitive attributes…

Machine Learning · Computer Science 2020-10-27 Han Zhao , Jianfeng Chi , Yuan Tian , Geoffrey J. Gordon

The need for opponent modeling and tracking arises in several real-world scenarios, such as professional sports, video game design, and drug-trafficking interdiction. In this work, we present Graph based Adversarial Modeling with Mutal…

Machine Learning · Computer Science 2023-07-06 Sean Ye , Manisha Natarajan , Zixuan Wu , Rohan Paleja , Letian Chen , Matthew C. Gombolay

As digital data transmission continues to scale, concerns about privacy grow increasingly urgent - yet privacy remains a socially constructed and ambiguously defined concept, lacking a universally accepted quantitative measure. This work…

Cryptography and Security · Computer Science 2025-08-13 Ikram Messadi , Giulia Cervia , Vincent Itier

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

Generalized mutual information (GMI) is used to compute achievable rates for fading channels with various types of channel state information at the transmitter (CSIT) and receiver (CSIR). The GMI is based on variations of auxiliary channel…

Information Theory · Computer Science 2023-05-23 Gerhard Kramer

We introduce a generalization of classic information-theoretic measures of predictive uncertainty in online language processing, based on the simulation of expected continuations of incremental linguistic contexts. Our framework provides a…

Computation and Language · Computer Science 2024-10-15 Mario Giulianelli , Andreas Opedal , Ryan Cotterell

We introduce knowledge flow analysis, a simple and flexible formalism for checking cryptographic protocols. Knowledge flows provide a uniform language for expressing the actions of principals, assump- tions about intruders, and the…

Cryptography and Security · Computer Science 2007-05-23 Marten van Dijk , Emina Torlak , Blaise Gassend , Srinivas Devadas