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We consider the function computation problem in a three node network with one encoder and two decoders. The encoder has access to two correlated sources $X$ and $Y$. The encoder encodes $X^n$ and $Y^n$ into a message which is given to two…

Information Theory · Computer Science 2016-10-05 Jithin Ravi , Bikash Kumar Dey

A subspace-based approach for rate-adaptive distributed source coding (DSC) based on discrete Fourier transform (DFT) codes is developed. Punctured DFT codes can be used to implement rate-adaptive source coding, however they perform poorly…

Information Theory · Computer Science 2013-07-01 Mojtaba Vaezi , Fabrice Labeau

Communication of quantized information is frequently followed by a computation. We consider situations of \emph{distributed functional scalar quantization}: distributed scalar quantization of (possibly correlated) sources followed by…

Information Theory · Computer Science 2015-01-20 Vinith Misra , Vivek K Goyal , Lav R. Varshney

We consider secure multi-terminal source coding problems in the presence of a public helper. Two main scenarios are studied: 1) source coding with a helper where the coded side information from the helper is eavesdropped by an external…

Information Theory · Computer Science 2013-07-05 Kittipong Kittichokechai , Yeow-Khiang Chia , Tobias J. Oechtering , Mikael Skoglund , Tsachy Weissman

We consider coding schemes for computationally bounded channels, which can introduce an arbitrary set of errors as long as (a) the fraction of errors is bounded with high probability by a parameter $p$ and (b) the process which adds the…

Information Theory · Computer Science 2013-03-01 Venkatesan Guruswami , Adam Smith

A missing piece in quantum information theory, with very few exceptions, has been to provide the random coding exponents for quantum information-processing protocols. We remedy the situation by providing these exponents for a variety of…

Quantum Physics · Physics 2015-09-30 Naresh Sharma

We resume the investigation of the problem of independent local compression of correlated quantum sources, the classical case of which is covered by the celebrated Slepian-Wolf theorem. We focus specifically on classical-quantum (cq)…

Quantum Physics · Physics 2020-08-24 Zahra Baghali Khanian , Andreas Winter

A new channel coding approach was proposed in [1] for random multiple access communication over the discrete-time memoryless channel. The coding approach allows users to choose their communication rates independently without sharing the…

Information Theory · Computer Science 2016-11-15 Zheng Wang , Jie Luo

In this paper, distributed (or multiterminal) source coding with one distortion criterion and correlated messages is considered. This problem can be also called ``Berger-Yeung problem with correlated messages''. It corresponds to the source…

Information Theory · Computer Science 2009-08-18 Suhan Choi

This work investigates functional source coding problems with maximal distortion, motivated by approximate function computation in many modern applications. The maximal distortion treats imprecise reconstruction of a function value as good…

Information Theory · Computer Science 2022-12-29 Sourya Basu , Daewon Seo , Lav R. Varshney

We determine the rate region of the Gaussian scalar-help-vector source-coding problem under a covariance matrix distortion constraint. The rate region is achieved by a Gaussian achievable scheme. We introduce a novel outer bounding…

Information Theory · Computer Science 2010-01-27 Md Saifur Rahman , Aaron B. Wagner

This paper considers the source coding problem with broadcast side information. The side information is sent to two receivers through a noisy broadcast channel. We provide an outer bound of the rate--distortion--bandwidth (RDB) quadruples…

Information Theory · Computer Science 2026-02-19 Yiqi Chen , Holger Boche , Marc Geitz

An intuitive outer bound for the multiterminal source coding problem is given. The proposed bound explicitly couples the rate distortion functions for each source and correlation measures which derive from a "strong" data processing…

Information Theory · Computer Science 2013-07-17 Thomas A. Courtade

This paper studies two crucial problems in the context of coded distributed storage systems directly related to their performance: 1) for a fixed alphabet size, determine the minimum number of servers the system must have for its service…

Information Theory · Computer Science 2024-07-02 Altan B. Kilic , Alberto Ravagnani , Emina Soljanin

This paper considers a framework where data from correlated sources are transmitted with help of network coding in ad-hoc network topologies. The correlated data are encoded independently at sensors and network coding is employed in the…

Networking and Internet Architecture · Computer Science 2015-03-19 Hyunggon Park , Nikolaos Thomos , Pascal Frossard

Consensus is a common method for computing a function of the data distributed among the nodes of a network. Of particular interest is distributed average consensus, whereby the nodes iteratively compute the sample average of the data stored…

Information Theory · Computer Science 2021-12-06 Ryan Pilgrim

For discrete memoryless multiple-access channels, we propose a general definition of variable length codes with a measure of the transmission rates at the receiver side. This gives a receiver perspective on the multiple-access channel…

Information Theory · Computer Science 2011-02-28 Stephane Musy

The problem of lossless fixed-rate streaming coding of discrete memoryless sources with side information at the decoder is studied. A random time-varying tree-code is used to sequentially bin strings and a Stack Algorithm with a variable…

Information Theory · Computer Science 2007-07-13 Hari Palaiyanur , Anant Sahai

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 consider a network coding problem where the destination wants to recover the sum of the signals (Gaussian random variables or random finite field elements) at all the source nodes, but the sum must be kept secret from an eavesdropper…

Information Theory · Computer Science 2022-01-11 Sijie Li , Cheuk Ting Li