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We give simplify the proofs of the 2 results in Marius Zimand's paper "Kolmogorov complexity version of Slepian-Wolf coding, proceedings of STOC 2017, p22--32". The first is a universal polynomial time compression algorithm: on input…

Information Theory · Computer Science 2018-02-05 Bruno Bauwens

This paper deals with a coding problem called complementary delivery, where messages from two correlated sources are jointly encoded and each decoder reproduces one of two messages using the other message as the side information. Both…

Information Theory · Computer Science 2008-02-13 Shigeaki Kuzuoka , Akisato Kimura , Tomohiko Uyematsu

We consider a noisy Slepian-Wolf problem where two correlated sources are separately encoded (using codes of fixed rate) and transmitted over two independent binary memoryless symmetric channels. The capacity of each channel is…

Information Theory · Computer Science 2012-01-04 Arvind Yedla , Henry D. Pfister , Krishna R. Narayanan

Slepian-Wolf theorem is a well-known framework that targets almost lossless compression of (two) data streams with symbol-by-symbol correlation between the outputs of (two) distributed sources. However, this paper considers a different…

Information Theory · Computer Science 2012-06-20 Ahmad Beirami , Faramarz Fekri

A new finite blocklength converse for the Slepian- Wolf coding problem is presented which significantly improves on the best known converse for this problem, due to Miyake and Kanaya [2]. To obtain this converse, an extension of the linear…

Information Theory · Computer Science 2018-01-29 Sharu Theresa Jose , Ankur A. Kulkarni

The Slepian-Wolf bound on the admissible coding rate forms the most fundamental aspect of distributed source coding. As such, it is necessary to provide a framework with which to model more practical scenarios with respect to the…

Information Theory · Computer Science 2021-04-21 Benjamin Rosen , Adnan M. Abu-Mahfouz , Ling Cheng

The Slepian-Wolf (SW) coding system is a source coding system with two encoders and a decoder, where these encoders independently encode source sequences from two correlated sources into codewords, and the decoder reconstructs both source…

Information Theory · Computer Science 2019-06-10 Tetsunao Matsuta , Tomohiko Uyematsu

In this paper we study interactive "one-shot" analogues of the classical Slepian-Wolf theorem. Alice receives a value of a random variable $X$, Bob receives a value of another random variable $Y$ that is jointly distributed with $X$.…

Computational Complexity · Computer Science 2015-09-09 Alexander Kozachinskiy

Distributed source coding schemes are typically based on the use of channels codes as source codes. In this paper we propose a new paradigm, termed "distributed arithmetic coding", which exploits the fact that arithmetic codes are good…

Information Theory · Computer Science 2008-11-11 M. Grangetto , E. Magli , G. Olmo

We study the following one-way asymmetric transmission problem, also a variant of model-based compressed sensing: a resource-limited encoder has to report a small set $S$ from a universe of $N$ items to a more powerful decoder (server). The…

Data Structures and Algorithms · Computer Science 2018-07-30 Alexandr Andoni , Javad Ghaderi , Daniel Hsu , Dan Rubenstein , Omri Weinstein

We prove an optimal $\Omega(n)$ lower bound on the randomized communication complexity of the much-studied Gap-Hamming-Distance problem. As a consequence, we obtain essentially optimal multi-pass space lower bounds in the data stream model…

Computational Complexity · Computer Science 2012-07-02 Amit Chakrabarti , Oded Regev

We consider the problem of (almost) lossless source coding of two correlated memoryless sources using separate encoders and a joint decoder, that is, Slepian-Wolf (S-W) coding. In our setting, the encoding and decoding are asynchronous,…

Information Theory · Computer Science 2020-07-28 Neri Merhav

We consider a wireless sensors network scenario where two nodes detect correlated sources and deliver them to a central collector via a wireless link. Differently from the Slepian-Wolf approach to distributed source coding, in the proposed…

Information Theory · Computer Science 2007-07-13 A. Abrardo

We focus Slepian-Wolf (SW) coding in the short blocklength for reconciliation in secret key generation and physical unclonable functions. In the problem formulation, two legitimate parties wish to generate a common secret key from a noisy…

Signal Processing · Electrical Eng. & Systems 2021-03-23 Mahdi Shakiba-Herfeh , Arsenia Chorti

We consider a setting of Slepian--Wolf coding, where the random bin of the source vector undergoes channel coding, and then decoded at the receiver, based on additional side information, correlated to the source. For a given distribution of…

Information Theory · Computer Science 2016-01-26 Neri Merhav

This paper addresses lossy transmission of a common source over a broadcast channel when there is correlated side information at the receivers, with emphasis on the quadratic Gaussian and binary Hamming cases. A digital scheme that combines…

Information Theory · Computer Science 2009-11-24 Jayanth Nayak , Ertem Tuncel , Deniz Gunduz

Traditionally, ensembles of Slepian-Wolf (SW) codes are defined such that every bin of each $n$-vector of each source is randomly drawn under the uniform distribution across the sets $\{0,1,\ldots,2^{nR_X}-1\}$ and…

Information Theory · Computer Science 2020-09-21 Neri Merhav

[Draft] In this paper, the redundancy of Slepian Wolf coding is revisited. Applying the random binning and converse technique in \cite{yang}, the same results in \cite{he} are obtained with much simpler proofs. Moreover, our results reflect…

Information Theory · Computer Science 2013-05-09 Duo Xu

We analyze the performance of a linear code used for a data compression of Slepian-Wolf type. In our framework, two correlated data are separately compressed into codewords employing Gallager-type codes and casted into a communication…

Disordered Systems and Neural Networks · Physics 2007-05-23 Tatsuto Murayama

We consider the optimal transmission of distributed correlated discrete memoryless sources across a network with capacity constraints. We present several previously undiscussed structural properties of the set of feasible rates and…

Networking and Internet Architecture · Computer Science 2014-09-11 Bradford D. Boyle , Steven Weber
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