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A restricted two-way communication problem in a small fully-connected network is investigated. The network consists of three nodes, all having access to a common channel with half-duplex constraint. Two nodes want to establish a dialog…

Information Theory · Computer Science 2014-09-05 Manuel Stein

The capacity of wireless networks is a classic and important topic of study. Informally, the capacity of a network is simply the total amount of information which it can transfer. In the context of models of wireless radio networks, this…

Computer Science and Game Theory · Computer Science 2019-09-16 Michael Dinitz , Naomi Ephraim

Graph Neural Networks (GNNs) have received considerable attention on graph-structured data learning for a wide variety of tasks. The well-designed propagation mechanism which has been demonstrated effective is the most fundamental part of…

Machine Learning · Computer Science 2021-01-29 Meiqi Zhu , Xiao Wang , Chuan Shi , Houye Ji , Peng Cui

In this paper, a lower bound on the capacity of wireless ad hoc erasure networks is derived in closed form in the canonical case where $n$ nodes are uniformly and independently distributed in the unit area square. The bound holds almost…

Information Theory · Computer Science 2009-01-15 Rayyan G. Jaber , Jeffrey G. Andrews

Characterising the capacity region for a network can be extremely difficult. Even with independent sources, determining the capacity region can be as hard as the open problem of characterising all information inequalities. The majority of…

Information Theory · Computer Science 2016-07-12 Satyajit Thakor , Terence Chan , Alex Grant

We consider the problem of source coding subject to a fidelity criterion for the Gray-Wyner network that connects a single source with two receivers via a common channel and two private channels. The pareto-optimal trade-offs between the…

Information Theory · Computer Science 2020-10-01 Erixhen Sula , Michael Gastpar

We study the interaction between two interfering Gaussian 2-user multiple access channels. The capacity region is characterized under mixed strong--extremely strong interference and individually very strong interference. Furthermore, the…

Information Theory · Computer Science 2011-03-15 Anas Chaaban , Aydin Sezgin , Bernd Bandemer , Arogyaswami Paulraj

The shortest path problem in graphs is a cornerstone of AI theory and applications. Existing algorithms generally ignore edge weight computation time. We present a generalized framework for weighted directed graphs, where edge weight can be…

Data Structures and Algorithms · Computer Science 2024-02-20 Eyal Weiss , Ariel Felner , Gal A. Kaminka

We propose the idea of extended networks, which is constructed by replicating the users in the two-user deterministic interference channel (DIC) and designing the interference structure among them, such that any rate that can be achieved by…

Information Theory · Computer Science 2015-10-15 Mehrdad Kiamari , A. Salman Avestimehr

Quantum network is the key to enable distributed quantum information processing. As the single-link communication rate decays exponentially with the distance, to enable reliable end-to-end quantum communication, the number of nodes needs to…

Quantum Physics · Physics 2021-08-17 Quntao Zhuang , Bingzhi Zhang

We consider a mobile edge computing problem, in which mobile users offload their computation tasks to computing nodes (e.g., base stations) at the network edge. The edge nodes compute the requested functions and communicate the computed…

Information Theory · Computer Science 2017-06-26 Songze Li , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

Cognitive Radio Networks (CRNs) are considered as a promising solution to the spectrum shortage problem in wireless communication. In this paper, we initiate the first systematic study on the algorithmic complexity of the connectivity…

Data Structures and Algorithms · Computer Science 2013-01-08 Hongyu Liang , Tiancheng Lou , Haisheng Tan , Yuexuan Wang , Dongxiao Yu

In communication field, an important issue is to group users and base stations to as many as possible subnetworks satisfying certain interference constraints. These problems are usually formulated as a graph partition problems which…

Combinatorics · Mathematics 2020-09-30 Chicheng Ma , Yucong Tang , Guanghui Wang , Guiying Yan , Bo Bai

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

This work considers the smart repeater network where a single source $s$ wants to send two independent packet streams to destinations $\{d_1,d_2\}$ with the help of relay $r$. The transmission from $s$ or $r$ is modeled by packet erasure…

Information Theory · Computer Science 2016-05-05 Jaemin Han , Chih-Chun Wang

We consider a model of computation motivated by possible limitations on quantum computers. We have a linear array of n wires, and we may perform operations only on pairs of adjacent wires. Our goal is to build a circuits that perform…

Quantum Physics · Physics 2007-05-23 Samuel A. Kutin , David Petrie Moulton , Lawren M. Smithline

This work aims to jointly optimize the coding and node selection to minimize the processing time for distributed computing tasks over wireless edge networks. Since the joint optimization problem formulation is NP-hard and nonlinear, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-11 Cong T. Nguyen , Diep N. Nguyen , Dinh Thai Hoang , Hoang-Anh Pham , Eryk Dutkiewicz

We introduce a versatile framework to model and study networked control systems (NCSs). An NCS is described as a feedback interconnection of a plant and a controller communicating through a bidirectional channel modelled by cascaded…

Systems and Control · Electrical Eng. & Systems 2020-08-06 Di Zhao , Sei Zhen Khong , Li Qiu

A sum-network is an instance of a network coding problem over a directed acyclic network in which each terminal node wants to compute the sum over a finite field of the information observed at all the source nodes. Many characteristics of…

Information Theory · Computer Science 2018-01-30 Ardhendu Tripathy , Aditya Ramamoorthy

The transmission capacity of an ad-hoc network is the maximum density of active transmitters per unit area, given an outage constraint at each receiver for a fixed rate of transmission. Most prior work on finding the transmission capacity…

Information Theory · Computer Science 2010-09-09 Rahul Vaze , Kien T. Truong , Steven Weber , Robert W. Heath
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