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We consider the impact of incomplete information on incentives for node cooperation in parallel relay networks with one source node, one destination node, and multiple relay nodes. All nodes are selfish and strategic, interested in…

Computer Science and Game Theory · Computer Science 2011-01-24 Hongda Xiao , Edmund M. Yeh

We study finite alphabet channels with Unit Memory on the previous Channel Outputs called UMCO channels. We identify necessary and sufficient conditions, to test whether the capacity achieving channel input distributions with feedback are…

Information Theory · Computer Science 2017-01-05 Christos K. Kourtellaris , Charalambos D. Charalambous , Ioannis Tzortzis

The "power of choice" has been shown to radically alter the behavior of a number of randomized algorithms. Here we explore the effects of choice on models of tree and network growth. In our models each new node has k randomly chosen…

Statistical Mechanics · Physics 2009-11-13 Raissa M. D'Souza , Paul L. Krapivsky , Cristopher Moore

We consider the problem of computing the capacity of a coded, multicast network over a small alphabet. We introduce a novel approach to this problem based on mixed integer programming. As an application of our approach, we recover, extend…

Information Theory · Computer Science 2022-12-15 Christopher Hojny , Altan B. Kilic , Alberto Ravagnani

In this paper, we study the contribution of network coding (NC) in improving the multicast capacity of random wireless ad hoc networks when nodes are endowed with multi-packet transmission (MPT) and multi-packet reception (MPR)…

Information Theory · Computer Science 2008-09-23 Zheng Wang , Shirish Karande , Hamid R. Sadjadpour , J. J. Garcia-Luna-Aceves

Targeted hub removal is known to weaken connectivity in heterogeneous networks. We show that in Barab\'asi--Albert networks the same intervention can also shift Watts threshold dynamics across the cascade critical point. For BA networks…

Physics and Society · Physics 2026-03-13 Federico Hernan Cachero Sanchez

A discrete-time single-user scalar channel with temporally correlated Rayleigh fading is analyzed. There is no side information at the transmitter or the receiver. A simple expression is given for the capacity per unit energy, in the…

Information Theory · Computer Science 2007-07-16 Vignesh Sethuraman , Bruce Hajek

Throughput capacity of large ad hoc networks has been shown to scale adversely with the size of network $n$. However the need for the nodes to find or repair routes has not been analyzed in this context. In this paper, we explicitly take…

Networking and Internet Architecture · Computer Science 2022-02-22 Eugene Perevalov , Rick S. Blum , Xun Chen , Anthony Nigara

This paper proves the separation between source-network coding and channel coding in networks of noisy, discrete, memoryless channels. We show that the set of achievable distortion matrices in delivering a family of dependent sources across…

Information Theory · Computer Science 2016-11-17 Shirin Jalali , Michelle Effros

Motivated by distributed storage applications, we investigate the degree to which capacity achieving encodings can be efficiently updated when a single information bit changes, and the degree to which such encodings can be efficiently…

Information Theory · Computer Science 2013-10-08 Arya Mazumdar , Venkat Chandar , Gregory W. Wornell

We consider the problem of error correction in a network where the errors can occur only on a proper subset of the network edges. For a generalization of the so-called Diamond Network we consider lower and upper bounds for the network's…

Information Theory · Computer Science 2024-09-20 Sascha Kurz

The width of a neural network matters since increasing the width will necessarily increase the model capacity. However, the performance of a network does not improve linearly with the width and soon gets saturated. In this case, we argue…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Shuai Zhao , Liguang Zhou , Wenxiao Wang , Deng Cai , Tin Lun Lam , Yangsheng Xu

We study the stability of network communication after removal of $q=1-p$ links under the assumption that communication is effective only if the shortest path between nodes $i$ and $j$ after removal is shorter than $a\ell_{ij} (a\geq1)$…

Statistical Mechanics · Physics 2009-11-13 Eduardo López , Roni Parshani , Reuven Cohen , Shai Carmi , Shlomo Havlin

We experimentally achieve a 19% capacity gain per Watt of electrical supply power in a 12-span link by eliminating gain flattening filters and optimizing launch powers using machine learning by deep neural networks in a massively parallel…

Spreading of either information or matter can often be treated as a network problem. It can be of great importance to be able to estimate the likelihood that spreading through a network reaches essentially the entire network while still not…

Disordered Systems and Neural Networks · Physics 2009-03-09 Tomas Alarcon , Henrik Jeldtoft Jensen

In this paper, we investigate optimal coding strategies for a class of linear deterministic relay networks. The network under study is a relay network, with one source, one destination, and two relay nodes. Additionally, there is a…

Information Theory · Computer Science 2010-01-14 S. M. Hossein Tabatabaei Yazdi , Mohammad Reza Aref

In a topological structure affected by geographical constraints on liking, the connectivity is weakened by constructing local stubs with small cycles, a something of randomness to bridge them is crucial for the robust network design. In…

Computational Physics · Physics 2009-11-13 Y. Hayashi , J. Matsukubo

This work considers the multiple-access multicast error-correction scenario over a packetized network with $z$ malicious edge adversaries. The network has min-cut $m$ and packets of length $\ell$, and each sink demands all information from…

In this paper we develop network protection strategies against a single link failure in optical networks. The motivation behind this work is the fact that $%70$ of all available links in an optical network suffers from a single link…

Information Theory · Computer Science 2016-11-18 Salah A. Aly , Ahmed E. Kamal

This paper shows how network coding and superdense coding can be combined to increase the classical data throughput by a factor $2-\epsilon$ (for arbitrarily small $\epsilon > 0$) compared to the maximum that could be achieved using either…

Quantum Physics · Physics 2020-07-01 Steven Herbert