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In the presence of multiple senders, one of the simplest decoding strategies that can be employed by a receiver is successive decoding. In a successive decoding strategy, the receiver decodes the messages one at a time using the knowledge…

Information Theory · Computer Science 2012-07-04 Omar Fawzi , Ivan Savov

Classical rate-distortion theory requires knowledge of an elusive source distribution. Instead, we analyze rate-distortion properties of individual objects using the recently developed algorithmic rate-distortion theory. The latter is based…

Information Theory · Computer Science 2007-07-16 Steven de Rooij , Paul Vitanyi

Recently, a number of authors have proposed decoding schemes for Reed-Solomon (RS) codes based on multiple trials of a simple RS decoding algorithm. In this paper, we present a rate-distortion (R-D) approach to analyze these…

Information Theory · Computer Science 2009-08-21 Phong S. Nguyen , Henry D. Pfister , Krishna R. Narayanan

We consider the problem of causal source coding and causal decoding of a Gauss--Markov source, where the decoder has causal access to a side-information signal. We define the information causal rate-distortion function with causal decoder…

Information Theory · Computer Science 2020-08-13 Omri Lev , Anatoly Khina

We investigate distributed source coding of two correlated sources X and Y where messages are passed to a decoder in a cascade fashion. The encoder of X sends a message at rate R_1 to the encoder of Y. The encoder of Y then sends a message…

Information Theory · Computer Science 2009-05-13 Paul Cuff , Han-I Su , Abbas El Gamal

In this paper, we present iterative algorithms that numerically compute the rate-distortion regions of two problems: the two-encoder multiterminal source coding problem and the Chief Executive Officer (CEO) problem, both under logarithmic…

Information Theory · Computer Science 2017-08-25 Yigit Ugur , Inaki Estella Aguerri , Abdellatif Zaidi

We study the problem of computing the rate-distortion function for sources with feed-forward and the capacity for channels with feedback. The formulas (involving directed information) for the optimal rate-distortion function with…

Information Theory · Computer Science 2007-07-18 Ramji Venkataramanan , S. Sandeep Pradhan

We consider the problem of distributed lossy linear function computation in a tree network. We examine two cases: (i) data aggregation (only one sink node computes) and (ii) consensus (all nodes compute the same function). By quantifying…

Information Theory · Computer Science 2017-01-16 Yaoqing Yang , Pulkit Grover , Soummya Kar

We consider the Cascade and Triangular rate-distortion problems where the same side information is available at the source node and User 1, and the side information available at User 2 is a degraded version of the side information at the…

Information Theory · Computer Science 2010-10-20 Yeow Khiang Chia , Haim Permuter , Tsachy Weissman

This paper deals with rate distortion or source coding with fidelity criterion, in measure spaces, for a class of source distributions. The class of source distributions is described by a relative entropy constraint set between the true and…

Information Theory · Computer Science 2013-05-07 Farzad Rezaei , Charalambos D. Charalambous , Photios A. Stavrou

Depth data has a widespread use since the popularity of high-resolution 3D sensors. In multi-view sequences, depth information is used to supplement the color data of each view. This article proposes a joint encoding of multiple depth maps…

Computer Vision and Pattern Recognition · Computer Science 2019-11-04 Marc Maceira , David Varas , Josep-Ramon Morros , JavierRuiz-Hidalgo , Ferran Marques

In this paper we consider point-to-point and distributed source coding problems where the receiver is only interested in a function of the data sent by the source encoder(s), while knowledge of the function remains unknown to the…

Information Theory · Computer Science 2018-11-27 Sourya Basu , Lav R. Varshney

This paper takes a rate-distortion approach to understanding the information-theoretic laws governing cache-aided communications systems. Specifically, we characterise the optimal tradeoffs between the delivery rate, cache capacity and…

Information Theory · Computer Science 2016-10-25 Roy Timo , Shirin Saeedi Bidokhti , Michèle Wigger , Bernhard C. Geiger

In this monograph, we review recent advances in second-order asymptotics for lossy source coding, which provides approximations to the finite blocklength performance of optimal codes. The monograph is divided into three parts. In part I, we…

Information Theory · Computer Science 2024-10-25 Lin Zhou , Mehul Motani

We consider multi-terminal source coding with a single encoder and multiple decoders where either the encoder or the decoders can take cost constrained actions which affect the quality of the side information present at the decoders. For…

Information Theory · Computer Science 2011-11-01 Yeow-Khiang Chia , Himanshu Asnani , Tsachy Weissman

Stochastic encoders for channel coding and lossy source coding are introduced with a rate close to the fundamental limits, where the only restriction is that the channel input alphabet and the reproduction alphabet of the lossy source code…

Information Theory · Computer Science 2016-11-15 Jun Muramatsu

An encoder, subject to a rate constraint, wishes to describe a Gaussian source under squared error distortion. The decoder, besides receiving the encoder's description, also observes side information consisting of uncompressed source symbol…

Information Theory · Computer Science 2013-05-10 Chris T. K. Ng , Chao Tian , Andrea J. Goldsmith , Shlomo Shamai

The source coding problem with action-dependent side information at the decoder has recently been introduced to model data acquisition in resource-constrained systems. In this paper, an efficient algorithm for numerical computation of the…

Information Theory · Computer Science 2016-08-11 Kasper Fløe Trillingsgaard , Osvaldo Simeone , Petar Popovski , Torben Larsen

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

A composite source, consisting of multiple subsources and a memoryless switch, outputs one symbol at a time from the subsource selected by the switch. If some data should be encoded more accurately than other data from an information…

Information Theory · Computer Science 2024-11-14 Jiakun Liu , H. Vincent Poor , Iickho Song , Wenyi Zhang
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