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We investigate the combination between causal/zero-delay source coding and information-theoretic secrecy. Two source coding models with secrecy constraints are considered. We start by considering zero-delay perfectly secret lossless…

Information Theory · Computer Science 2013-11-20 Yonatan Kaspi , Neri Merhav

This paper introduces an objective function that seeks to minimise the average total number of bits required to encode the joint state of all of the layers of a Markov source. This type of encoder may be applied to the problem of optimising…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Stephen Luttrell

This paper considers lossy source coding of $n$-dimensional memoryless sources and shows an explicit approximation to the minimum source coding rate required to sustain the probability of exceeding distortion $d$ no greater than $\epsilon$,…

Information Theory · Computer Science 2017-02-28 Victoria Kostina

An information-spectrum approach is applied to solve the multiterminal source coding problem for correlated general sources, where sources may be nonstationary and/or nonergodic, and the distortion measure is arbitrary and may be…

Information Theory · Computer Science 2007-07-13 Shengtian Yang , Peiliang Qiu

We show how real-number codes can be used to compress correlated sources and establish a new framework for distributed lossy source coding, in which we quantize compressed sources instead of compressing quantized sources. This change in the…

Information Theory · Computer Science 2013-01-03 Mojtaba Vaezi , Fabrice Labeau

The problem of real-time remote tracking and reconstruction of a two-state Markov process is considered here. A transmitter sends samples from an observed information source to a remote monitor over an unreliable wireless channel. The…

Information Theory · Computer Science 2023-09-22 Mehrdad Salimnejad , Marios Kountouris , Nikolaos Pappas

We consider lossy source coding when side information affecting the distortion measure may be available at the encoder, decoder, both, or neither. For example, such distortion side information can model reliabilities for noisy measurements,…

Information Theory · Computer Science 2014-11-17 Emin Martinian , Gregory W. Wornell , Ram Zamir

In the context of PDE-constrained optimization theory, source identification problems traditionally entail particles emerging from an unknown source distribution inside a domain, moving according to a prescribed stochastic process,…

Optimization and Control · Mathematics 2025-08-22 Richard B. Lehoucq , Scott A. McKinley , Petr Plecháč

Data deduplication saves storage space by identifying and removing repeats in the data stream. Compared with traditional compression methods, data deduplication schemes are more time efficient and are thus widely used in large scale storage…

Information Theory · Computer Science 2022-05-30 Hao Lou , Farzad Farnoud

Motivated by the sequence reconstruction problem from traces in DNA-based storage, we consider the problem of designing codes for the deletion channel when multiple observations (or traces) are available to the decoder. We propose simple…

Information Theory · Computer Science 2019-06-26 Mahed Abroshan , Ramji Venkataramanan , Lara Dolecek , Albert Guillén i Fàbregas

In order to provide high data reliability, distributed storage systems disperse data with redundancy to multiple storage nodes. Regenerating codes is a new class of erasure codes to introduce redundancy for the purpose of improving the data…

Information Theory · Computer Science 2015-03-18 Kenneth W. Shum , Yuchong Hu

Distributed computation is a framework used to break down a complex computational task into smaller tasks and distributing them among computational nodes. Erasure correction codes have recently been introduced and have become a popular…

Information Theory · Computer Science 2021-08-17 Royee Yosibash , Ram Zamir

We study the zero-error source coding problem in which an encoder with Side Information (SI) $g(Y)$ transmits source symbols $X$ to a decoder. The decoder has SI $Y$ and wants to recover $f(X,Y)$ where $f,g$ are deterministic. We exhibit a…

Information Theory · Computer Science 2022-12-19 Nicolas Charpenay , Maël le Treust , Aline Roumy

To recover simultaneous multiple failures in erasure coded storage systems, Patrick Lee et al introduce concurrent repair based minimal storage regenerating codes to reduce repair traffic. The architecture of this approach is simpler and…

Information Theory · Computer Science 2016-04-25 Huayu Zhang , Hui Li , Hanxu Hou , K. W. Shum , ShuoYen Robert Li

We consider a real-time communication system with noisy feedback consisting of a Markov source, a forward and a backward discrete memoryless channels, and a receiver with finite memory. The objective is to design an optimal communication…

Information Theory · Computer Science 2007-09-25 Aditya Mahajan , Demosthenis Teneketzis

This paper establishes the rate region for a class of source coding function computation setups where sources of information are available at the nodes of a tree and where a function of these sources must be computed at the root. The rate…

Information Theory · Computer Science 2015-04-08 Milad Sefidgaran , Aslan Tchamkerten

An encoder wishes to minimize the bit rate necessary to guarantee that a decoder is able to calculate a symbol-wise function of a sequence available only at the encoder and a sequence that can be measured only at the decoder. This classical…

Information Theory · Computer Science 2012-04-17 Behzad Ahmadi , Osvaldo Simeone

When additional information sources are available in decision making problems that allow stochastic optimization formulations, an important question is how to optimally use the information the sources are capable of providing. A framework…

Data Analysis, Statistics and Probability · Physics 2013-02-04 Eugene Perevalov , David Grace

In this paper, we propose {\em distributed network compression via memory}. We consider two spatially separated sources with correlated unknown source parameters. We wish to study the universal compression of a sequence of length $n$ from…

Information Theory · Computer Science 2012-10-09 Ahmad Beirami , Faramarz Fekri

In the distributed remote (CEO) source coding problem, many separate encoders observe independently noisy copies of an underlying source. The rate loss is the difference between the rate required in this distributed setting and the rate…

Information Theory · Computer Science 2022-02-04 Arda Atalik , Alper Köse , Michael Gastpar