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In this paper we introduce a variation on the multidimensional segment tree, formed by unifying different interpretations of the dimensionalities of the data structure. We give some new definitions to previously well-defined concepts that…

Computational Geometry · Computer Science 2013-02-28 David P. Wagner

Service region design determines the geographic coverage of service networks, shaping long-term operational performance. Capital and operational constraints preclude simultaneous large-scale deployment, requiring expansion to proceed…

Machine Learning · Computer Science 2026-03-10 Tingting Chen , Feng Chu , Jiantong Zhang

Online Contention Resolution Schemes (OCRS's) represent a modern tool for selecting a subset of elements, subject to resource constraints, when the elements are presented to the algorithm sequentially. OCRS's have led to some of the…

Data Structures and Algorithms · Computer Science 2024-04-03 Calum MacRury , Will Ma , Nathaniel Grammel

Marginal polytopes are important geometric objects that arise in statistics as the polytopes underlying hierarchical log-linear models. These polytopes can be used to answer geometric questions about these models, such as determining the…

Combinatorics · Mathematics 2023-12-06 Jane Ivy Coons , Joseph Cummings , Benjamin Hollering , Aida Maraj

A challenging problem in multi-band multi-cell self-organized wireless systems, such as multi-channel Wi-Fi networks, femto/pico cells in 3G/4G cellular networks, and more recent wireless networks over TV white spaces, is of distributed…

Networking and Internet Architecture · Computer Science 2011-02-15 I-Hong Hou , Piyush Gupta

Distributed algorithms for solving coupled semidefinite programs (SDPs) commonly require many iterations to converge. They also put high computational demand on the computational agents. In this paper we show that in case the coupled…

Optimization and Control · Mathematics 2015-04-30 Sina Khoshfetrat Pakazad , Anders Hansson , Martin S. Andersen , Anders Rantzer

This paper presents a distributed approach for exploring and triangulating an unknown region using a multi- robot system. The objective is to produce a covering of an unknown workspace by a fixed number of robots such that the covered…

Robotics · Computer Science 2014-02-04 SeoungKyou Lee , Aaron Becker , Sándor P. Fekete , Alexander Kröller , James McLurkin

Distributed optimization for resource allocation problems is investigated and a sub-optimal continuous-time algorithm is proposed. Our algorithm has lower order dynamics than others to reduce burdens of computation and communication, and is…

Optimization and Control · Mathematics 2020-02-13 Shu Liang , Xianlin Zeng , Guanpu Chen , Yiguang Hong

Assuming a random uniform distribution of n sensor nodes over a virtual grid, this paper addresses the problem of finding the maximum number of connected set covers each ensuring 100% coverage of the query region. The connected sets remain…

Networking and Internet Architecture · Computer Science 2014-02-14 Dibakar Saha , Nabanita Das

Edge computing allows Service Providers (SPs) to enhance user experience by placing their services closer to the network edge. Determining the optimal provisioning of edge resources to meet the varying and uncertain demand cost-effectively…

Optimization and Control · Mathematics 2024-12-23 Jiaming Cheng , Duong Thuy Anh Nguyen , Duong Tung Nguyen

Modern computer networks support interesting new routing models in which traffic flows from a source s to a destination t can be flexibly steered through a sequence of waypoints, such as (hardware) middleboxes or (virtualized) network…

Networking and Internet Architecture · Computer Science 2017-09-04 Saeed Akhoondian Amiri , Klaus-Tycho Foerster , Riko Jacob , Stefan Schmid

The distributed optimization problem has become increasingly relevant recently. It has a lot of advantages such as processing a large amount of data in less time compared to non-distributed methods. However, most distributed approaches…

Optimization and Control · Mathematics 2024-03-27 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov , Alexander Gasnikov

We examine the problem of creating an encoded distributed storage representation of a data object for a network of mobile storage nodes so as to achieve the optimal recovery delay. A source node creates a single data object and disseminates…

Information Theory · Computer Science 2016-11-17 Derek Leong , Alexandros G. Dimakis , Tracey Ho

In this paper, we consider the problem of partitioning a polygon into a set of connected disjoint sub-polygons, each of which covers an area of a specific size. The work is motivated by terrain covering applications in robotics, where the…

Computational Geometry · Computer Science 2021-10-11 Mariusz Wzorek , Cyrille Berger , Patrick Doherty

Data depth proves successful in the analysis of multivariate data sets, in particular deriving an overall center and assigning ranks to the observed units. Two key features are: the directions of the ordering, from the center towards the…

Methodology · Statistics 2016-01-26 Claudio Agostinelli

Content delivery networks often employ caching to reduce transmission rates from the central server to the end users. Recently, the technique of coded caching was introduced whereby coding in the caches and coded transmission signals from…

Information Theory · Computer Science 2016-02-16 Hooshang Ghasemi , Aditya Ramamoorthy

A decision tree is commonly restricted to use a single hyperplane to split the covariate space at each of its internal nodes. It often requires a large number of nodes to achieve high accuracy, hurting its interpretability. In this paper,…

Machine Learning · Computer Science 2020-10-23 Mohammadreza Armandpour , Mingyuan Zhou

In part I of this paper, a distributed and a centralized architecture for an optimal radio resource allocation aware of the traffic delay-tolerance nature, user subscription type, and application usage variations were developed. In the…

Networking and Internet Architecture · Computer Science 2014-11-17 Ahmed Abdelhadi , Mo Ghorbanzadeh , Charles Clancy

We consider a class of popular distributed non-convex optimization problems, in which agents connected by a network $\mathcal{G}$ collectively optimize a sum of smooth (possibly non-convex) local objective functions. We address the…

Optimization and Control · Mathematics 2020-01-08 Haoran Sun , Mingyi Hong

Pervasive networks formed by users' mobile devices have the potential to exploit a rich set of distributed service components that can be composed to provide each user with a multitude of application level services. However, in many…

Networking and Internet Architecture · Computer Science 2022-05-30 Umair Sadiq , Mohan Kumar , Andrea Passarella , Marco Conti
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