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This paper investigates the problem of secure lossy source coding in the presence of an eavesdropper with arbitrary correlated side informations at the legitimate decoder (referred to as Bob) and the eavesdropper (referred to as Eve). This…

Information Theory · Computer Science 2011-05-25 Joffrey Villard , Pablo Piantanida

In this letter, we consider the problem of detecting a high dimensional signal based on compressed measurements with physical layer secrecy guarantees. We assume that the network operates in the presence of an eavesdropper who intends to…

Information Theory · Computer Science 2015-06-02 Bhavya Kailkhura , Sijia Liu , Thakshila Wimalajeewa , Pramod K. Varshney

We propose computationally efficient encoders and decoders for lossy compression using a Sparse Regression Code. The codebook is defined by a design matrix and codewords are structured linear combinations of columns of this matrix. The…

Information Theory · Computer Science 2014-05-20 Ramji Venkataramanan , Tuhin Sarkar , Sekhar Tatikonda

We present a new inner bound for the rate region of the $t$-stage successive-refinement problem with side-information. We also present a new upper bound for the rate-distortion function for lossy-source coding with multiple decoders and…

Information Theory · Computer Science 2016-11-17 Roy Timo , Terence Chan , Alexander Grant

Extensive monitoring systems generate data that is usually compressed for network transmission. This compressed data might then be processed in the cloud for tasks such as anomaly detection. However, compression can potentially impair the…

Signal Processing · Electrical Eng. & Systems 2025-09-30 Andriy Enttsel , Alex Marchioni , Andrea Zanellini , Mauro Mangia , Gianluca Setti , Riccardo Rovatti

In this paper, we revisit the problem of characterizing the secrecy capacity of minimum storage regenerating (MSR) codes under the passive $(l_1,l_2)$-eavesdropper model, where the eavesdropper has access to data stored on $l_1$ nodes and…

Information Theory · Computer Science 2016-08-10 Kun Huang , Udaya Parampalli , Ming Xian

The secret-key rate measures the rate at which Alice and Bob can extract secret bits from sampling a joint probability distribution, unknown to an eavesdropper Eve. The secret-key rate has been bounded above by the intrinsic information and…

Information Theory · Computer Science 2023-10-10 Andrey Boris Khesin , Andrew Tung , Karthik Vedula

Motivated by questions in lossy data compression and by theoretical considerations, we examine the problem of estimating the rate-distortion function of an unknown (not necessarily discrete-valued) source from empirical data. Our focus is…

Information Theory · Computer Science 2013-01-18 M. T. Harrison , I. Kontoyiannis

Suppose that we have $n$ agents and $n$ items which lie in a shared metric space. We would like to match the agents to items such that the total distance from agents to their matched items is as small as possible. However, instead of having…

Computer Science and Game Theory · Computer Science 2023-05-23 Nima Anari , Moses Charikar , Prasanna Ramakrishnan

We study task-oriented lossy compression through the lens of rate-distortion-classification (RDC) representations. The source is Bernoulli, the distortion measure is Hamming, and the binary classification variable is coupled to the source…

Information Theory · Computer Science 2026-05-19 Nam Nguyen , Thinh Nguyen , Bella Bose

From the output produced by a memoryless deletion channel from a uniformly random input of known length $n$, one obtains a posterior distribution on the channel input. The difference between the Shannon entropy of this distribution and that…

Information Theory · Computer Science 2018-08-01 Arash Atashpendar , David Mestel , A. W. Roscoe , Peter Y. A. Ryan

Reconciliation is a mechanism allowing to weed out the discrepancies between two correlated variables. It has great role in every Quantum Key Distribution protocol where the key has to be transmitted through a noisy channel or as in our…

Cryptography and Security · Computer Science 2020-02-20 Nedra Benletaief , Houria Rezig , Ammar Bouallegue

We consider a rate-distortion problem with side information at multiple decoders. Several upper and lower bounds have been proposed for this general problem or special cases of it. We provide an upper bound for general instances of this…

Information Theory · Computer Science 2016-12-13 Sinem Unal , Aaron B. Wagner

We have developed a method to calculate a secret key rate of a continuous-variable quantum-key-distribution scheme using four coherent states and postselection for a general model of Gaussian attacks. We assume that the transmission line…

Quantum Physics · Physics 2018-10-30 Ryo Namiki , Akira Kitagawa , Takuya Hirano

Harnessing a block-sparse prior to recover signals through underdetermined linear measurements has been extensively shown to allow exact recovery in conditions where classical compressed sensing would provably fail. We exploit this result…

Information Theory · Computer Science 2021-10-12 Maxime Ferreira Da Costa , Urbashi Mitra

Rate distortion theory treats the problem of encoding a source with minimum codebook size while at the same time allowing for a certain amount of errors in the reconstruction measured by a fidelity criterion and distortion level. Similar to…

Information Theory · Computer Science 2025-11-13 Jonathan E. W. Huffmann , Holger Boche

We examine the structure of families of distortion balls from the perspective of Kolmogorov complexity. Special attention is paid to the canonical rate-distortion function of a source word which returns the minimal Kolmogorov complexity of…

Information Theory · Computer Science 2009-11-26 Nikolai K. Vereshchagin , Paul M. B. Vitanyi

This paper investigates the role of the eavesdropper's statistics in the implementation of a practical secret-key generation system. We carefully conduct the information-theoretic analysis of a secret-key generation system from wireless…

Information Theory · Computer Science 2014-06-18 Alexandre J. Pierrot , Rémi A. Chou , Matthieu R. Bloch

We begin by presenting a simple lossy compressor operating at near-zero rate: The encoder merely describes the indices of the few maximal source components, while the decoder's reconstruction is a natural estimate of the source components…

Information Theory · Computer Science 2016-03-09 Albert No , Tsachy Weissman

We study the problem of securely estimating the states of an unstable dynamical system subject to nonstochastic disturbances. The estimator obtains all its information through an uncertain channel which is subject to nonstochastic…