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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

Content distribution over networks is often achieved by using mirror sites that hold copies of files or portions thereof to avoid congestion and delay issues arising from excessive demands to a single location. Accordingly, there are…

Information Theory · Computer Science 2016-11-15 Shurui Huang , Aditya Ramamoorthy , Muriel Medard

This work considers the problem of transmitting multiple compressible sources over a network at minimum cost. The aim is to find the optimal rates at which the sources should be compressed and the network flows using which they should be…

Information Theory · Computer Science 2009-08-13 Aditya Ramamoorthy

In this paper, we propose {\em distributed network compression via memory}. We consider two spatially separated sources with correlated unknown source parameters. We wish to study the universal compression of a sequence of length $n$ from…

Information Theory · Computer Science 2012-10-09 Ahmad Beirami , Faramarz Fekri

We consider the following node-capacitated network design problem. The input is an undirected graph, set of demands, uniform node capacity and arbitrary node costs. The goal is to find a minimum node-cost subgraph that supports all demands…

Data Structures and Algorithms · Computer Science 2024-03-12 Ravishankar Krishnaswamy , Viswanath Nagarajan , Kirk Pruhs , Cliff Stein

Satellite networks provide unique challenges that can restrict users' quality of service. For example, high packet erasure rates and large latencies can cause significant disruptions to applications such as video streaming or voice-over-IP.…

Networking and Internet Architecture · Computer Science 2015-06-23 Jason Cloud , Muriel Medard

We investigate to what extent the degree sequence of a directed network constrains the number of driver nodes. We develop a pair of algorithms that take a directed degree sequence as input and aim to output a network with the maximum or…

Physics and Society · Physics 2020-03-24 Abdorasoul Ghasemi , Márton Pósfai , Raissa M. D'Souza

A single-source network is said to be \textit{memory-free} if all of the internal nodes (those except the source and the sinks) do not employ memory but merely send linear combinations of the incoming symbols (received at their incoming…

Information Theory · Computer Science 2009-09-10 K. Prasad , B. Sundar Rajan

Quantum networking allows the transmission of information in ways unavailable in the classical world. Single packets of information can now be split and transmitted in a coherent way over different routes. This aggregation allows…

Quantum Physics · Physics 2020-11-25 Nicolo Lo Piparo , Michael Hanks , Kae Nemoto , William J. Munro

We study synchronization and consensus in a group of dynamical systems coupled via multiple directed networks. We show that even though the coupling in a single network may not be sufficient to synchronize the systems, combination of…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Chai Wah Wu

We study private classical communication over quantum multiple-access channels. For an arbitrary number of transmitters, we derive a regularized expression of the capacity region. In the case of degradable channels, we establish a…

Information Theory · Computer Science 2022-01-31 Remi A. Chou

This paper studies cache-aided interference networks with arbitrary number of transmitters and receivers, whereby each transmitter has a cache memory of finite size. Each transmitter fills its cache memory from a content library of files in…

Information Theory · Computer Science 2017-12-19 Antonious M. Girgis , Ozgur Ercetin , Mohammed Nafie , Tamer ElBatt

One of the important unsolved problems in information theory is the conjecture that network coding has no rate benefit over routing in undirected unicast networks. Three known bounds on the symmetric rate in undirected unicast information…

Information Theory · Computer Science 2020-10-27 Mohammad Ishtiyaq Qureshi , Satyajit Thakor

Using well-known mathematical problems for encryption is a widely used technique because they are computationally hard and provide security against potential attacks on the encryption method. The subset sum problem (SSP) can be defined as…

Cryptography and Security · Computer Science 2024-01-23 Yair Zadok , Nadav Voloch , Noa Voloch-Bloch , Maor Meir Hajaj

The focus is on noise-free half-duplex line networks with two sources where the first node and either the second node or the second-last node in the cascade act as sources. In both cases, we establish the capacity region of rates at which…

Information Theory · Computer Science 2016-11-15 Tobias Lutz , Gerhard Kramer , Christoph Hausl

The index coding problem studies the fundamental limit on broadcasting multiple messages to their respective receivers with different sets of side information that are represented by a directed graph. The generalized lexicographic product…

Information Theory · Computer Science 2018-10-02 Fatemeh Arbabjolfaei , Young-Han Kim

The index coding problem is studied from an interference alignment perspective, providing new results as well as new insights into, and generalizations of, previously known results. An equivalence is established between multiple unicast…

Information Theory · Computer Science 2012-05-08 Hamed Maleki , Viveck R. Cadambe , Syed A. Jafar

We consider the random linear precoder at the source node as a secure network coding. We prove that it is strongly secure in the sense of Harada and Yamamoto and universal secure in the sense of Silva and Kschischang, while allowing…

Information Theory · Computer Science 2017-04-14 Ryutaroh Matsumoto , Masahito Hayashi

We consider a network coding setting where some of the messages and edges have fixed alphabet sizes, that do not change when we increase the common alphabet size of the rest of the messages and edges. We prove that the problem of deciding…

Information Theory · Computer Science 2022-02-11 Cheuk Ting Li

We develop elements of a theory of cooperation and coordination in networks. Rather than considering a communication network as a means of distributing information, or of reconstructing random processes at remote nodes, we ask what…

Information Theory · Computer Science 2011-04-04 Paul Cuff , Haim Permuter , Thomas Cover