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Randomized rumor spreading is a classical protocol to disseminate information across a network. At SODA 2008, a quasirandom version of this protocol was proposed and competitive bounds for its run-time were proven. This prompts the…

Discrete Mathematics · Computer Science 2013-05-21 Benjamin Doerr , Anna Huber , Ariel Levavi

We derive a new upper bound on the reliability function for channel coding over discrete memoryless channels. Our bounding technique relies on two main elements: (i) adding an auxiliary genie-receiver that reveals to the original receiver a…

Information Theory · Computer Science 2022-09-05 Anelia Somekh-Baruch

In the present paper, we derive an upper bound of the average network breakdown probability of packet networks with unreliable relay nodes. We here assume that relay nodes get independently broken with a given node breakdown probability. A…

Information Theory · Computer Science 2017-01-25 Takayuki Nozaki , Takafumi Nakano , Tadashi Wadayama

In practice, since many communication networks are huge in scale, or complicated in structure, or even dynamic, the predesigned linear network codes based on the network topology is impossible even if the topological structure is known.…

Information Theory · Computer Science 2013-02-26 Xuan Guang , Fang-Wei Fu

We consider a lossy multicast network in which the reliability is provided by means of Random Linear Network Coding. Our goal is to characterise the performance of such network in terms of the probability that a source message is delivered…

Information Theory · Computer Science 2018-02-01 Evgeny Tsimbalo , Andrea Tassi , Robert J. Piechocki

In secure multiparty computation (MPC), mutually distrusting users collaborate to compute a function of their private data without revealing any additional information about their data to other users. While it is known that information…

Cryptography and Security · Computer Science 2016-11-17 Deepesh Data , Vinod M. Prabhakaran , Manoj M. Prabhakaran

We are given an equal number of mobile robotic agents, and distinct target locations. Each agent has simple integrator dynamics, a limited communication range, and knowledge of the position of every target. We address the problem of…

Robotics · Computer Science 2007-05-23 Stephen L. Smith , Francesco Bullo

We consider the communication complexity of some fundamental convex optimization problems in the point-to-point (coordinator) and blackboard communication models. We strengthen known bounds for approximately solving linear regression,…

Data Structures and Algorithms · Computer Science 2024-03-29 Mehrdad Ghadiri , Yin Tat Lee , Swati Padmanabhan , William Swartworth , David Woodruff , Guanghao Ye

We study the problem of estimating an unknown parameter in a distributed and online manner. Existing work on distributed online learning typically either focuses on asymptotic analysis, or provides bounds on regret. However, these results…

Systems and Control · Electrical Eng. & Systems 2022-09-15 Lei Xin , George Chiu , Shreyas Sundaram

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

Consider n nodes communicating over an unreliable broadcast channel. Each node has a single packet that needs to be communicated to all other nodes. Time is slotted, and a time slot is long enough for each node to broadcast one packet. Each…

Information Theory · Computer Science 2021-07-23 Mark A. Graham , Ayalvadi J. Ganesh , Robert J. Piechocki

An overarching issue in resource management of wireless networks is assessing their capacity: How much communication can be achieved in a network, utilizing all the tools available: power control, scheduling, routing, channel assignment and…

Networking and Internet Architecture · Computer Science 2017-05-30 Magnus M. Halldorsson , Tigran Tonoyan

This paper presents a stochastic geometry model for the investigation of fundamental information theoretic limitations in wireless networks. We derive a new unified multi-parameter cut-set bound on the capacity of networks of arbitrary…

Information Theory · Computer Science 2013-05-02 Georgios Rodolakis

In these series of multi-part papers, a systematic study of fundamental limits of communications in interference networks is established. Here, interference network is referred to as a general single-hop communication scenario with…

Information Theory · Computer Science 2013-02-18 Reza K. Farsani

A distributed average consensus algorithm in which every sensor transmits with bounded peak power is proposed. In the presence of communication noise, it is shown that the nodes reach consensus asymptotically to a finite random variable…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-15 Sivaraman Dasarathan , Cihan Tepedelenlioglu , Mahesh Banavar , Andreas Spanias

The framework of network equivalence theory developed by Koetter et al. introduces a notion of channel emulation to construct noiseless networks as upper (resp. lower) bounding models, which can be used to calculate the outer (resp. inner)…

Information Theory · Computer Science 2015-10-01 Jinfeng Du , Muriel Medard , Ming Xiao , Mikael Skoglund

This paper investigates the performance of streaming codes in low-latency applications over a multi-link three-node relayed network. The source wishes to transmit a sequence of messages to the destination through a relay. Each message must…

Information Theory · Computer Science 2022-01-19 Gustavo Kasper Facenda , Elad Domanovitz , Ashish Khisti , Wai-Tian Tan , John Apostolopoulos

Multi-channel multi-interface Wireless Mesh Networks permit to spread the load across orthogonal channels to improve network capacity. Although broadcast is vital for many layer-3 protocols, proposals for taking advantage of multiple…

Networking and Internet Architecture · Computer Science 2011-05-16 Carina Teixeira De Oliveira , Fabrice Theoleyre , Andrzej Duda

A fundamental tool in network information theory is the covering lemma, which lower bounds the probability that there exists a pair of random variables, among a give number of independently generated candidates, falling within a given set.…

Information Theory · Computer Science 2019-04-18 Jingbo Liu , Mohammad H. Yassaee , Sergio Verdú

We prove an \Omega(n/k+k) communication lower bound on (k-1)-round distributional complexity of the k-step pointer chasing problem under uniform input distribution, improving the \Omega(n/k - k log n) lower bound due to Yehudayoff…

Computational Complexity · Computer Science 2024-11-19 Xinyu Mao , Guangxu Yang , Jiapeng Zhang