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In this article, we examine several design and complexity aspects of the optimal physical layer resource allocation problem for a generic interference channel (IC). The latter is a natural model for multi-user communication networks. In…

Information Theory · Computer Science 2012-06-25 Mingyi Hong , Zhi-Quan Luo

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

This paper deals with a universal coding problem for a certain kind of multiterminal source coding network called a generalized complementary delivery network. In this network, messages from multiple correlated sources are jointly encoded,…

Information Theory · Computer Science 2009-04-02 Akisato Kimura , Tomohiko Uyematsu , Shigeaki Kuzuoka , Shun Watanabe

Since its first use by Euler on the problem of the seven bridges of K\"onigsberg, graph theory has shown excellent abilities in solving and unveiling the properties of multiple discrete optimization problems. The study of the structure of…

Information Theory · Computer Science 2020-02-26 Ahmed Douik , Hayssam Dahrouj , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

Given a wireless network where some pairs of communication links interfere with each other, we study sufficient conditions for determining whether a given set of minimum bandwidth Quality of Service (QoS) requirements can be satisfied. We…

Information Theory · Computer Science 2009-06-23 Ashwin Ganesan

Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Rajendra Purohit , K R Chowdhary , S D Purohit

We consider a wireless network with a set of transmitter-receiver pairs, or links, that share a common channel, and address the problem of emptying finite traffic volume from the transmitters in minimum time. This, so called, minimum-time…

Networking and Internet Architecture · Computer Science 2016-11-18 Qing He , Vangelis Angelakis , Anthony Ephremides , Di Yuan

Two processors output correlated sequences using the help of a coordinator with whom they individually share independent randomness. For the case of unlimited shared randomness, we characterize the rate of communication required from the…

Information Theory · Computer Science 2018-05-09 Gowtham R. Kurri , Vinod M. Prabhakaran , Anand D. Sarwate

Many distributed optimization algorithms achieve existentially-optimal running times, meaning that there exists some pathological worst-case topology on which no algorithm can do better. Still, most networks of interest allow for…

Data Structures and Algorithms · Computer Science 2023-12-29 Bernhard Haeupler , David Wajc , Goran Zuzic

Variational inequalities are a broad and flexible class of problems that includes minimization, saddle point, and fixed point problems as special cases. Therefore, variational inequalities are used in various applications ranging from…

Optimization and Control · Mathematics 2024-04-02 Aleksandr Beznosikov , Martin Takáč , Alexander Gasnikov

Many problems of interest for cyber-physical network systems can be formulated as Mixed Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithm to solve this class…

Optimization and Control · Mathematics 2017-12-06 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

A fundamental problem in distributed computing is the task of cooperatively executing a given set of $t$ tasks by $p$ processors where the communication medium is dynamic and subject to failures. The dynamics of the communication medium…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-27 Chadi Kari , Alexander Russell , Narasimha Shashidhar

We propose a universal approach to a range of enumeration problems in graphs. The key point is in contracting suitably chosen symmetric tensors placed at the vertices of a graph along the edges. In particular, this leads to an algorithm…

Combinatorics · Mathematics 2007-05-23 Peter Zograf

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

We study the problem of tracking multiple moving targets using a team of mobile robots. Each robot has a set of motion primitives to choose from in order to collectively maximize the number of targets tracked or the total quality of…

Robotics · Computer Science 2019-05-31 Yoonchang Sung , Ashish Kumar Budhiraja , Ryan K. Williams , Pratap Tokekar

We consider the problem of scheduling a set of $n$ tasks on $m$ processors under precedence, communication, and global system energy constraints to minimize makespan. We extend existing scheduling models to account for energy usage and give…

Data Structures and Algorithms · Computer Science 2011-05-27 David Felber , Adam Meyerson

We study a distributed sampling problem where a set of processors want to output (approximately) independent and identically distributed samples from a joint distribution with the help of a common message from a coordinator. Each processor…

Information Theory · Computer Science 2021-06-24 Gowtham R. Kurri , Vinod M. Prabhakaran , Anand D. Sarwate

In this paper, we consider a full duplex wireless powered communication network where multiple users with radio frequency energy harvesting capability communicate to an energy broadcasting hybrid access point. We investigate the minimum…

Systems and Control · Electrical Eng. & Systems 2020-02-11 Muhammad Shahid Iqbal , Yalcin Sadi , Sinem Coleri

In this paper we study the inherent trade-off between time and communication complexity for the distributed consensus problem. In our model, communication complexity is measured as the maximum data throughput (in bits per second) sent…

Systems and Control · Computer Science 2014-10-07 Federico Rossi , Marco Pavone

Graph spanners are sparse subgraphs which approximately preserve all pairwise shortest-path distances in an input graph. The notion of approximation can be additive, multiplicative, or both, and many variants of this problem have been…

Data Structures and Algorithms · Computer Science 2019-11-19 Manuel Fernandez , David P. Woodruff , Taisuke Yasuda
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