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In this paper, we study network coding capacity for random wireless networks. Previous work on network coding capacity for wired and wireless networks have focused on the case where the capacities of links in the network are independent. In…

Information Theory · Computer Science 2007-08-23 Zhenning Kong , Salah A. Aly , Emina Soljanin , Edmund M. Yeh , Andreas Klappenecker

A sum-product network (SPN) is a probabilistic model, based on a rooted acyclic directed graph, in which terminal nodes represent univariate probability distributions and non-terminal nodes represent convex combinations (weighted sums) and…

Machine Learning · Computer Science 2020-04-03 Iago París , Raquel Sánchez-Cauce , Francisco Javier Díez

While network coding can be an efficient means of information dissemination in networks, it is highly susceptible to "pollution attacks," as the injection of even a single erroneous packet has the potential to corrupt each and every packet…

Information Theory · Computer Science 2019-05-07 Da Wang , Danilo Silva , Frank R. Kschischang

We develop bounds on the capacity of wireless networks when the traffic is non-uniform, i.e., not all nodes are required to receive and send similar volumes of traffic. Our results are asymptotic, i.e., they hold with probability going to…

Networking and Internet Architecture · Computer Science 2013-10-24 Stavros Toumpis

A function computation problem in directed acyclic networks has been considered in the literature, where a sink node wants to compute a target function with the inputs generated at multiple source nodes. The network links are error-free but…

Information Theory · Computer Science 2017-03-29 Cupjin Huang , Zihan Tan , Shenghao Yang , Xuan Guang

We construct a universal secure network coding. Our construction just modifies the transmission scheme at the source node and works with every linear coding at an intermediate node. We relax the security criterion such that the mutual…

Information Theory · Computer Science 2011-02-17 Ryutaroh Matsumoto

We consider the communication scenario where multiple cognitive users wish to communicate to the same receiver, in the presence of primary transmission. The cognitive transmitters are assumed to have the side information about the primary…

Information Theory · Computer Science 2007-07-13 Peng Cheng , Guanding Yu , Zhaoyang Zhang , Hsiao-Hwa Chen , Peiliang Qiu

This paper studies the capacity of massive random-access cellular networks, modeled as a MIMO fading channel with an infinite number of interfering cells. To characterize the symmetric sum rate of the network, a random-coding argument is…

Information Theory · Computer Science 2025-09-26 Grace Villacrés , Tobias Koch , Gonzalo Vazquez-Vilar

This paper is motivated by the problem of error control in network coding when errors are introduced in a random fashion (rather than chosen by an adversary). An additive-multiplicative matrix channel is considered as a model for random…

Information Theory · Computer Science 2019-05-07 Danilo Silva , Frank R. Kschischang , Ralf Kötter

We consider a dense n-user Gaussian interference network formed by paired transmitters and receivers placed independently at random in Euclidean space. Under natural conditions on the node position distributions and signal attenuation, we…

Information Theory · Computer Science 2010-10-21 Matthew Aldridge , Oliver Johnson , Robert Piechocki

This paper studies the problem of controlling complex networks, that is, the joint problem of selecting a set of control nodes and of designing a control input to steer a network to a target state. For this problem (i) we propose a metric…

Systems and Control · Computer Science 2014-03-04 Fabio Pasqualetti , Sandro Zampieri , Francesco Bullo

In the literature there exists analytical expressions for the probability of a receiver decoding a transmitted source message that has been encoded using random linear network coding. In this work, we look into the probability that the…

Information Theory · Computer Science 2022-03-08 Jessica Claridge , Ioannis Chatzigeorgiou

In this paper, we study the capacity region of the general distributed index coding. In contrast to the traditional centralized index coding where a single server contains all $n$ messages requested by the receivers, in the distributed…

Information Theory · Computer Science 2016-04-13 Parastoo Sadeghi , Fatemeh Arbabjolfaei , Young-Han Kim

The sum-capacity of a three user interference wired network for time-varying channels is considered. Due to the channel variations, it is assumed that the transmitters are only able to track the connectivity between the individual nodes,…

Information Theory · Computer Science 2014-05-01 Soheil Gherekhloo , Anas Chaaban , Aydin Sezgin

The expressivity of Graph Neural Networks (GNNs) is dependent on the aggregation functions they employ. Theoretical works have pointed towards Sum aggregation GNNs subsuming every other GNNs, while certain practical works have observed a…

Machine Learning · Computer Science 2023-05-22 Eran Rosenbluth , Jan Toenshoff , Martin Grohe

We consider the problem of linear network coding over communication networks, representable by directed acyclic graphs, with multiple groupcast sessions: the network comprises of multiple destination nodes, each desiring messages from…

Information Theory · Computer Science 2014-02-05 Abhik Kumar Das , Siddhartha Banerjee , Sriram Vishwanath

This paper studies the capacity of a class of discrete memoryless interference channels where interference is defined analogous to that of Gaussian interference channel with one-sided weak interference. The sum-rate capacity of this class…

Information Theory · Computer Science 2013-03-11 Fangfang Zhu , Biao Chen

We study opportunistic scheduling and the sum capacity of cellular networks with a full-duplex multi-antenna base station and a large number of single-antenna half-duplex users. Simultaneous uplink and downlink over the same band results in…

Information Theory · Computer Science 2016-11-17 Can Karakus , Suhas Diggavi

The capacity (or maximum flow) of an unicast network is known to be equal to the minimum s-t cut capacity due to the max-flow min-cut theorem. If the topology of a network (or link capacities) is dynamically changing or unknown, it is not…

Information Theory · Computer Science 2015-06-12 Yuki Fujii , Tadashi Wadayama

A single-letter characterization is provided for the capacity region of finite-state multiple-access channels, when the channel state process is an independent and identically distributed sequence, the transmitters have access to partial…

Information Theory · Computer Science 2010-12-10 Giacomo Como , Serdar Yüksel