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This paper describes universal lossless coding strategies for compressing sources on countably infinite alphabets. Classes of memoryless sources defined by an envelope condition on the marginal distribution provide benchmarks for coding…

Statistics Theory · Mathematics 2015-01-05 Stéphane Boucheron , Aurélien Garivier , Elisabeth Gassiat

The problem of reliable transmission of correlated sources over the broadcast channel, originally studied by Han and Costa, is revisited. An alternative characterization of their sufficient condition for reliable transmission is given,…

Information Theory · Computer Science 2009-12-22 Paolo Minero , Young-Han Kim

The problem of variable length and fixed-distortion universal source coding (or D-semifaithful source coding) for stationary and memoryless sources on countably infinite alphabets ($\infty$-alphabets) is addressed in this paper. The main…

Information Theory · Computer Science 2021-07-13 Jorge F. Silva , Pablo Piantanida

A sum-network is a directed acyclic network in which all terminal nodes demand the `sum' of the independent information observed at the source nodes. Many characteristics of the well-studied multiple-unicast network communication problem…

Information Theory · Computer Science 2015-04-23 Ardhendu Tripathy , Aditya Ramamoorthy

Proving capacity for networks without feedback or cooperation usually involves two fundamental random coding techniques: superposition coding and binning. Although conceptually very different, these two techniques often achieve the same…

Information Theory · Computer Science 2012-02-08 Stefano Rini

We show how good quantum error-correcting codes can be constructed using generalized concatenation. The inner codes are quantum codes, the outer codes can be linear or nonlinear classical codes. Many new good codes are found, including both…

Quantum Physics · Physics 2010-06-01 Markus Grassl , Peter W. Shor , Bei Zeng

An operational perspective is used to understand the relationship between source and channel coding. This is based on a direct reduction of one problem to another that uses random coding (and hence common randomness) but unlike all prior…

Information Theory · Computer Science 2009-11-20 Mukul Agarwal , Anant Sahai , Sanjoy Mitter

Parties connected to independent sources through a network can generate correlations among themselves. Notably, the space of feasible correlations for a given network, depends on the physical nature of the sources and the measurements…

Quantum Physics · Physics 2022-02-15 Salman Beigi , Marc-Olivier Renou

In this work, we propose and analyze a generalized construction of distributed network codes for a network consisting of M users sending different information to a common base station through independent block fading channels. The aim is to…

Information Theory · Computer Science 2015-03-13 João Luiz Rebelatto , Bartolomeu F. Uchôa-Filho , Yonghui Li , Branka Vucetic

This paper considers the problem of network coding for multiple unicast connections in networks represented by directed acyclic graphs. The concept of interference alignment, traditionally used in interference networks, is extended to…

Information Theory · Computer Science 2010-08-03 Abhik Das , Sriram Vishwanath , Syed Jafar , Athina Markopoulou

The non-uniform demand network coding problem is posed as a single-source and multiple-sink network transmission problem where the sinks may have heterogeneous demands. In contrast with multicast problems, non-uniform demand problems are…

Information Theory · Computer Science 2010-01-27 Joseph C. Koo , John Gill

This paper concerns itself with the question of list decoding for general adversarial channels, e.g., bit-flip ($\textsf{XOR}$) channels, erasure channels, $\textsf{AND}$ ($Z$-) channels, $\textsf{OR}$ channels, real adder channels, noisy…

Information Theory · Computer Science 2019-09-11 Yihan Zhang , Amitalok J. Budkuley , Sidharth Jaggi

Recently, the existence of considerable amount of redundancy in the Internet traffic has stimulated the deployment of several redundancy elimination techniques within the network. These techniques are often based on either packet-level…

Information Theory · Computer Science 2012-04-02 Mohsen Sardari , Ahmad Beirami , Faramarz Fekri

We consider a setup in which Alice selects a pdf $f$ from a set of prescribed pdfs $\mathscr{P}$ and sends a prefix-free codeword $W$ to Bob in order to allow him to generate a single instance of the random variable $X\sim f$. We describe a…

Information Theory · Computer Science 2018-12-11 Cheuk Ting Li , Abbas El Gamal

We consider the compound memoryless quantum multiple-access channel (QMAC) with two sending terminals. In this model, the transmission is governed by the memoryless extensions of a completely positive and trace preserving map which can be…

Quantum Physics · Physics 2019-06-25 Holger Boche , Gisbert Janßen , Sajad Saeedinaeeni

Over binary input channels, uniform distribution is a universal prior, in the sense that it allows to maximize the worst case mutual information over all binary input channels, ensuring at least 94.2% of the capacity. In this paper, we…

Information Theory · Computer Science 2010-04-28 Emmanuel Abbe , Rethnakaran Pulikkoonattu

In this paper we provide sufficient conditions for lossy transmission of functions of correlated data over a multiple access channel (MAC). The conditions obtained can be shown as generalized version of Yamamoto's result. We also obtain…

Information Theory · Computer Science 2009-08-11 R Rajesh , Vinod Sharma

Many applications require data processing to be performed on individual pieces of data which are of finite sizes, e.g., files in cloud storage units and packets in data networks. However, traditional universal compression solutions would…

Information Theory · Computer Science 2012-05-22 Ahmad Beirami , Mohsen Sardari , Faramarz Fekri

We consider the problem of lossless compression of binary trees, with the aim of reducing the number of code bits needed to store or transmit such trees. A lossless grammar-based code is presented which encodes each binary tree into a…

Information Theory · Computer Science 2013-04-30 Jie Zhang , En-hui Yang , John C. Kieffer

We investigate coding schemes that map source symbols into multisets of an alphabet set. Such a formulation of source coding is an alternative approach to the traditional framework and is inspired by an object tracking problem over…

Information Theory · Computer Science 2025-11-11 Chung Shue Chen , Wing Shing Wong , Yuan-Hsun Lo , Tsai-Lien Wong