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We study the effect of a resetting point randomly distributed around the origin on the mean first passage time of a Brownian searcher moving in one dimension. We compare the search efficiency with that corresponding to reset to the origin…

Statistical Mechanics · Physics 2024-01-03 Vicenç Mendez , Rosa Flaquer-Galmés , Daniel Campos

In this work, we study the multi-agent decision problem where agents try to coordinate to optimize a given system-level objective. While solving for the global optimal is intractable in many cases, the greedy algorithm is a well-studied and…

Multiagent Systems · Computer Science 2022-12-01 Rohit Konda , David Grimsman , Jason Marden

In this work, we investigate the sum-rate performance of multicell and cell-free massive MIMO systems using linear precoding and multiuser scheduling algorithms. We consider the use of a network-centric clustering approach to reduce the…

Information Theory · Computer Science 2023-03-14 S. Mashdour , R. C. de Lamare , J. P. Sales

This paper investigates the problem of distributed network-wide averaging and proposes a new greedy gossip algorithm. Instead of finding the optimal path of each node in a greedy manner, the proposed approach utilises a suboptimal…

Systems and Control · Computer Science 2019-08-20 Hyo-Sang Shin , Shaoming He , Antonios Tsourdos

We consider a network topology design problem in which an initial undirected graph underlying the network is given and the objective is to select a set of edges to add to the graph to optimize the coherence of the resulting network. We show…

Optimization and Control · Mathematics 2014-11-19 Tyler Summers , Iman Shames , John Lygeros , Florian Dörfler

Random walks have been proposed as a simple method of efficiently searching, or disseminating information throughout, communication and sensor networks. In nature, animals (such as ants) tend to follow correlated random walks, i.e., random…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-03 Graeme Smith , J. W. Sanders , Qin Li

In this paper we prove the efficacy of a simple greedy algorithm for a finite horizon online resource allocation/matching problem, when the corresponding static planning linear program (SPP) exhibits a non-degeneracy condition called the…

Data Structures and Algorithms · Computer Science 2022-07-26 Varun Gupta

We consider a problem of information structure design in team decision problems and team games. We propose simple, scalable greedy algorithms for adding a set of extra information links to optimize team performance and resilience to…

Optimization and Control · Mathematics 2017-06-20 Tyler Summers , Changyuan Li , Maryam Kamgarpour

We study random walk on complex networks with transition probabilities which depend on the current and previously visited nodes. By using an absorbing Markov chain we derive an exact expression for the mean first passage time between pairs…

Physics and Society · Physics 2024-11-14 Lasko Basnarkov , Miroslav Mirchev , Ljupco Kocarev

Finding a minimum vertex cover in a network is a fundamental NP-complete graph problem. One way to deal with its computational hardness, is to trade the qualitative performance of an algorithm (allowing non-optimal outputs) for an improved…

Data Structures and Algorithms · Computer Science 2023-12-14 Thomas Bläsius , Tobias Friedrich , Maximilian Katzmann

A random search process in a networked environment is governed by the time it takes to visit every node, termed the cover time. Often, a networked process does not proceed in isolation but competes with many instances of itself within the…

Optimization and Control · Mathematics 2018-06-13 Daniel B. Wilson , Ruth E. Baker , Francis G. Woodhouse

We carry out a comparative study on the problem for a walker searching on several typical complex networks. The search efficiency is evaluated for various strategies. Having no knowledge of the global properties of the underlying networks…

Disordered Systems and Neural Networks · Physics 2009-11-10 Shi-Jie Yang

In network analysis and graph mining, closeness centrality is a popular measure to infer the importance of a vertex. Computing closeness efficiently for individual vertices received considerable attention. The NP-hard problem of group…

Data Structures and Algorithms · Computer Science 2019-11-11 Eugenio Angriman , Alexander van der Grinten , Henning Meyerhenke

We study the problem that requires a team of robots to perform joint localization and target tracking task while ensuring team connectivity and collision avoidance. The problem can be formalized as a nonlinear, non-convex optimization…

Robotics · Computer Science 2022-10-12 Rahul Zahroof , Jiazhen Liu , Lifeng Zhou , Vijay Kumar

In this paper, by using two different techniques we derive an explicit formula for the mean first-passage time (MFPT) between any pair of nodes on a general undirected network, which is expressed in terms of eigenvalues and eigenvectors of…

Statistical Mechanics · Physics 2012-01-04 Zhongzhi Zhang , Alafate Julaiti , Baoyu Hou , Hongjuan Zhang , Guanrong Chen

Identifying strongly connected substructures in large networks provides insight into their coarse-grained organization. Several approaches based on the optimization of a quality function, e.g., the modularity, have been proposed. We present…

Data Structures and Algorithms · Computer Science 2008-05-02 Philipp Schuetz , Amedeo Caflisch

This work addresses the problem of exploration in an unknown environment. For linear dynamical systems, we use an experimental design framework and introduce an online greedy policy where the control maximizes the information of the next…

Machine Learning · Statistics 2023-04-27 Matthieu Blanke , Marc Lelarge

Dominating Set is a well-known combinatorial optimization problem which finds application in computational biology or mobile communication. Because of its $\mathrm{NP}$-hardness, one often turns to heuristics for good solutions. Many such…

Data Structures and Algorithms · Computer Science 2026-01-21 Hendrik Higl

In existing research, as an example of one-sided preference, a conversation structure in which a person who is assumed to be an adult mainly sends one-sided messages to a person who is assumed to be a minor was observed. If subgraphs…

Physics and Society · Physics 2024-04-24 Yasuko Kawahata

Finding the shortest path between two points in a graph is a fundamental problem that has been well-studied over the past several decades. Shortest path algorithms are commonly applied to modern navigation systems, so our study aims to…

Data Structures and Algorithms · Computer Science 2022-08-02 Kevin Y. Chen
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