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We analyze a simple network where a source and a receiver are connected by a line of erasure channels of different reliabilities. Recent prior work has shown that random linear network coding can achieve the min-cut capacity and therefore…

Information Theory · Computer Science 2009-10-22 Theodoros K. Dikaliotis , Alexandros G. Dimakis , Tracey Ho , Michelle Effros

This paper considers rateless network error correction codes for reliable multicast in the presence of adversarial errors. Most existing network error correction codes are designed for a given network capacity and maximum number of errors…

Information Theory · Computer Science 2013-01-15 Wentao Huang , Tracey Ho , Hongyi Yao , Sidharth Jaggi

Consider the problem of source coding in networks with multiple receiving terminals, each having access to some kind of side information. In this case, standard coding techniques are either prohibitively complex to decode, or require…

Information Theory · Computer Science 2011-11-28 Chen Avin , Michael Borokhovich , Asaf Cohen , Zvi Lotker

Polar codes have been gaining a lot of interest due to it being the first coding scheme to provably achieve the symmetric capacity of a binary memoryless channel with an explicit construction. However, the main drawback of polar codes is…

Information Theory · Computer Science 2019-11-11 Heshani Gamage , Vismika Ranasinghe , Nandana Rajatheva , Matti Latva-aho

We are interested in how to best communicate a (usually real valued) source to a number of destinations (sinks) over a network with capacity constraints in a collective fidelity metric over all the sinks, a problem which we call joint…

Information Theory · Computer Science 2007-07-13 Nima Sarshar , Xiaolin Wu

We consider the delay of network coding compared to routing with retransmissions in packet erasure networks with probabilistic erasures. We investigate the sub-linear term in the block delay required for unicasting $n$ packets and show that…

Information Theory · Computer Science 2012-11-15 Theodoros K. Dikaliotis , Alexandros G. Dimakis , Tracey Ho , Michelle Effros

The penalty incurred by imposing a finite delay constraint in lossless source coding of a memoryless source is investigated. It is well known that for the so-called block-to-variable and variable-to-variable codes, the redundancy decays at…

Information Theory · Computer Science 2016-11-17 Ofer Shayevitz , Eado Meron , Meir Feder , Ram Zamir

We study the following semi-deterministic setting of the joint source-channel coding problem: a deterministic source sequence (a.k.a. individual sequence) is transmitted via a memoryless channel, using delay-limited encoder and decoder,…

Information Theory · Computer Science 2021-09-29 Neri Merhav

In this paper, we introduce novel coding schemes for wireless networks with random transmission delays. These coding schemes obviate the need for synchronicity, reduce the number of transmissions and achieve the optimal rate region in the…

Information Theory · Computer Science 2015-03-04 Niv Voskoboynik , Haim H. Permuter , Asaf Cohen

Network slicing has emerged as an integral concept in 5G, aiming to partition the physical network infrastructure into isolated slices, customized for specific applications. We theoretically formulate the key performance metrics of an…

Networking and Internet Architecture · Computer Science 2024-04-30 Homa Esfahanizadeh , Vipindev Adat Vasudevan , Benjamin D. Kim , Shruti Siva , Jennifer Kim , Alejandro Cohen , Muriel Médard

A class of channels is introduced for which there is memory inside blocks of a specified length and no memory across the blocks. The multi-user model is called an information network with in-block memory (NiBM). It is shown that…

Information Theory · Computer Science 2016-11-17 Gerhard Kramer

We consider an \textit{Adaptive Random Convolutional Network Coding} (ARCNC) algorithm to address the issue of field size in random network coding for multicast, and study its memory and decoding delay performances through both analysis and…

Information Theory · Computer Science 2013-03-20 Guo Wangmei , Shi Xiaomeng , Cai Ning , Muriel Médard

Motivated by streaming applications with stringent delay constraints, we consider the design of online network coding algorithms with timely delivery guarantees. Assuming that the sender is providing the same data to multiple receivers over…

Information Theory · Computer Science 2016-11-15 Joao Barros , Rui A. Costa , Daniele Munaretto , Joerg Widmer

We address the problem of delay in an arithmetic coding system. Due to the nature of the arithmetic coding process, source sequences causing arbitrarily large encoding or decoding delays exist. This phenomena raises the question of just how…

Information Theory · Computer Science 2007-07-13 Ofer Shayevitz , Ram Zamir , Meir Feder

We resolve the question of optimality for a well-studied packetized implementation of random linear network coding, called PNC. In PNC, in contrast to the classical memoryless setting, nodes store received information in memory to later…

Information Theory · Computer Science 2011-02-18 Bernhard Haeupler , MinJi Kim , Muriel Médard

Protecting against link failures in communication networks is essential to increase robustness, accessibility, and reliability of data transmission. Recently, network coding has been proposed as a solution to provide agile and cost…

Information Theory · Computer Science 2016-11-17 Salah A. Aly , Ahmed E. Kamal

In this paper we introduce Neural Network Coding(NNC), a data-driven approach to joint source and network coding. In NNC, the encoders at each source and intermediate node, as well as the decoder at each destination node, are neural…

Information Theory · Computer Science 2021-01-12 Litian Liu , Amit Solomon , Salman Salamatian , Muriel Medard

Spiking Neural Networks (SNNs) are a promising research direction for building power-efficient information processing systems, especially for temporal tasks such as speech recognition. In SNNs, delays refer to the time needed for one spike…

Neural and Evolutionary Computing · Computer Science 2024-08-13 Ilyass Hammouamri , Ismail Khalfaoui-Hassani , Timothée Masquelier

Random Linear Network Coding (RLNC) has emerged as a powerful tool for robust high-throughput multicast. Projection analysis - a recently introduced technique - shows that the distributed packetized RLNC protocol achieves (order) optimal…

Information Theory · Computer Science 2011-02-17 Bernhard Haeupler , Muriel Médard

Due to the sequential nature of the successive-cancellation (SC) algorithm, the decoding of polar codes suffers from significant decoding latencies. Fast SC decoding is able to speed up the SC decoding process, by implementing parallel…

Information Theory · Computer Science 2022-11-21 Yang Lu , Ming-Min Zhao , Ming Lei , Min-Jian Zhao