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We show that any submodular minimization (SM) problem defined on a linear constraint set with constraints having up to two variables per inequality, are 2-approximable in polynomial time. If the constraints are monotone (the two variables…

Discrete Mathematics · Computer Science 2017-05-01 Dorit S. Hochbaum

We consider a wireless network where multiple energy harvesting transmitters communicate with the common receiver in a time sharing manner. In each slot, a transmitter can either harvest energy or send its data to the receiver. Given a time…

Information Theory · Computer Science 2018-05-01 Kalpant Pathak , Sanket S. Kalamkar , Adrish Banerjee

The outage performance of wireless networks with unstructured network topologies is investigated. The network reliability perspective of graph theory is used to obtain the network outage polynomial of generalized wireless networks by…

Information Theory · Computer Science 2019-04-30 Semiha Tedik Basaran , Gunes Karabulut Kurt , Frank R. Kschischang

Finding a low-weight multiple (LWPM) of a given polynomial is very useful in the cryptanalysis of stream ciphers and arithmetic in finite fields. There is no known deterministic polynomial time complexity algorithm for solving this problem,…

Computational Complexity · Computer Science 2024-10-15 Ferucio Laurenţiu Ţiplea , Simona-Maria Lăzărescu

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

We give polynomial-time approximation schemes for monotone maximization problems expressible in terms of distances (up to a fixed upper bound) and efficiently solvable in graphs of bounded treewidth. These schemes apply in all fractionally…

Data Structures and Algorithms · Computer Science 2021-05-06 Zdeněk Dvořák , Abhiruk Lahiri

In this paper, we address the scheduling problem in wireless ad hoc networks by exploiting the computational advantage that comes when such scheduling problems can be represented by claw-free conflict graphs. It is possible to formulate a…

Information Theory · Computer Science 2017-11-07 Alper Kose , Muriel Medard

We consider a general class of wireless scheduling and resource allocation problems where the received rate in each link is determined by the actions of the transmitter in that link along with a single dominant interferer. Such scenarios…

Information Theory · Computer Science 2012-07-31 Mustafa Riza Akdeniz , Sundeep Rangan

Efficient scheduling of transmissions is a key problem in wireless networks. The main challenge stems from the fact that optimal link scheduling involves solving a maximum weighted independent set (MWIS) problem, which is known to be…

Signal Processing · Electrical Eng. & Systems 2023-10-09 Zhongyuan Zhao , Gunjan Verma , Chirag Rao , Ananthram Swami , Santiago Segarra

The optimal design of wireless networks has been widely studied in the literature and many optimization models have been proposed over the years. However, most models directly include the signal-to-interference ratios representing service…

Optimization and Control · Mathematics 2017-05-01 Fabio D'Andreagiovanni , Ambros Gleixner

We consider multiuser scheduling in wireless networks with channel variations and flow-level dynamics. Recently, it has been shown that the MaxWeight algorithm, which is throughput-optimal in networks with a fixed number users, fails to…

Networking and Internet Architecture · Computer Science 2010-08-17 Shihuan Liu , Lei Ying , R. Srikant

We investigate the complexity of training a two-layer ReLU neural network with weight decay regularization. Previous research has shown that the optimal solution of this problem can be found by solving a standard cone-constrained convex…

Machine Learning · Computer Science 2023-11-21 Yifei Wang , Mert Pilanci

We study adaptive network coding (NC) for scheduling real-time traffic over a single-hop wireless network. To meet the hard deadlines of real-time traffic, it is critical to strike a balance between maximizing the throughput and minimizing…

Systems and Control · Computer Science 2012-04-12 Lei Yang , Yalin Evren Sagduyu , Jason Hongjun Li , Junshan Zhang

A fundamental problem in the design of wireless networks is to efficiently schedule transmission in a distributed manner. The main challenge stems from the fact that optimal link scheduling involves solving a maximum weighted independent…

Signal Processing · Electrical Eng. & Systems 2021-02-09 Zhongyuan Zhao , Gunjan Verma , Chirag Rao , Ananthram Swami , Santiago Segarra

In this paper, we present a novel application of matrix game theory for optimization of link scheduling in wireless ad-hoc networks. Optimum scheduling is achieved by soft coloring of network graphs. Conventional coloring schemes are based…

Networking and Internet Architecture · Computer Science 2018-03-15 Ebrahim Karami , Savo Glisic

In many applications, it is a basic operation for the sink to periodically collect reports from all sensors. Since the data gathering process usually proceeds for many rounds, it is important to collect these data efficiently, that is, to…

Networking and Internet Architecture · Computer Science 2016-11-18 Tung-Wei Kuo , Kate Ching-Ju Lin , Ming-Jer Tsai

We study an extensive class of movement minimization problems which arise from many practical scenarios but so far have little theoretical study. In general, these problems involve planning the coordinated motion of a collection of agents…

Data Structures and Algorithms · Computer Science 2015-03-20 Erik D. Demaine , MohammadTaghi Hajiaghayi , Dániel Marx

We study the problem of optimal traffic prediction and monitoring in large-scale networks. Our goal is to determine which subset of K links to monitor in order to "best" predict the traffic on the remaining links in the network. We consider…

Data Structures and Algorithms · Computer Science 2013-12-04 Michael Kallitsis , Stilian Stoev , George Michailidis

In this paper, we propose a framework for solving a class of optimization problems encountered in a range of power allocation problems in wireless relay networks. In particular, power allocation for weighted sum-rate and common-rate…

Information Theory · Computer Science 2016-07-05 Koosha Pourtahmasi Roshandeh , Masoud Ardakani , Chintha Tellambura

Decentralized optimization with time-varying networks is an emerging paradigm in machine learning. It saves remarkable communication overhead in large-scale deep training and is more robust in wireless scenarios especially when nodes are…

Machine Learning · Computer Science 2022-11-02 Xinmeng Huang , Kun Yuan
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