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Faced with the ever-increasing trend of the cellular network scale, how to quantitatively evaluate the effectiveness of the large-scale deployment of base stations (BSs) has become a challenging topic. To this end, a deeper understanding of…

Networking and Internet Architecture · Computer Science 2018-08-23 Ying Chen , Rongpeng Li , Zhifeng Zhao , Honggang Zhang

Spatial modeling of wireless networks via analytical means has been considered as a widely practiced mechanism for inference. As a result, some geometrical deployment models have been proposed in literature. Although practical in certain…

Information Theory · Computer Science 2014-10-28 Mouhamed Abdulla

This paper deals with the stochastic geometry-based characterization of the time-varying performance of a drone cellular network in which the initial locations of drone base stations (DBSs) are modeled as a Poisson point process (PPP) and…

Information Theory · Computer Science 2021-01-26 Morteza Banagar , Harpreet S. Dhillon

Existing studies on the degree correlation of evolving networks typically rely on differential equations and statistical analysis, resulting in only approximate solutions due to inherent randomness. To address this limitation, we propose an…

Computation · Statistics 2024-06-13 Yue Xiao , Xiaojun Zhang

Stochastic geometry models are used to study wireless networks, particularly cellular phone networks, but most of the research focuses on the typical user, often ignoring atypical events, which can be highly disruptive and of interest to…

Networking and Internet Architecture · Computer Science 2017-12-22 H. Paul Keeler , Benedikt Jahnel , Oliver Maye , Marcin Brzozowski , Daniel Aschenbach

This contribution belongs to a combinatorial approach to hyperbolic geometry and it is aimed at possible applications to computer simulations. It is based on the splitting method which was introduced by the author and which is reminded in…

Computational Geometry · Computer Science 2011-11-09 Maurice Margenstern

We consider a relay network based on Unmanned Aerial Vehicles (UAV). Terrestrial Base Stations (TBS) and UAV Relay Nodes (RN) are modelled using two Homogeneous Poisson Point Processes (HPPP). UAVs can hover at a fixed position or move…

Signal Processing · Electrical Eng. & Systems 2021-07-27 Francois De Saint Moulin , Charles Wiame , Claude Oestges , Luc Vandendorpe

Recent years have seen a huge development in spatial modelling and prediction methodology, driven by the increased availability of remote-sensing data and the reduced cost of distributed-processing technology. It is well known that…

Computation · Statistics 2020-02-18 Andrew Zammit-Mangion , Jonathan Rougier

In recent times we hear increasingly often about cyber attacks on various commercial and strategic sites that manage to escape any defense. In this article, we model such attacks on networks via stochastic processes and predict the time of…

Probability · Mathematics 2019-01-23 Jewgeni H. Dshalalow , Ryan T. White

We consider a two-hop cellular system in which the mobile nodes help the base station by relaying information to the dead spots. While two-hop cellular schemes have been analyzed previously, the distribution of the node locations has not…

Information Theory · Computer Science 2009-11-19 Radha Krishna Ganti , Martin Haenggi

The application of the network approach to the urban case poses several questions in terms of how to deal with metric distances, what kind of graph representation to use, what kind of measures to investigate, how to deepen the correlation…

Other Condensed Matter · Physics 2007-05-23 Sergio Porta , Paolo Crucitti , Vito Latora

Physical simulations that accurately model reality are crucial for many engineering disciplines such as mechanical engineering and robotic motion planning. In recent years, learned Graph Network Simulators produced accurate mesh-based…

Machine Learning · Computer Science 2023-03-08 Jonas Linkerhägner , Niklas Freymuth , Paul Maria Scheikl , Franziska Mathis-Ullrich , Gerhard Neumann

This paper proposes a data and Machine Learning-based forecasting solution for the Telecommunications network-rollout planning problem. Milestone completion-time estimation is crucial to network-rollout planning; accurate estimates enable…

Machine Learning · Computer Science 2022-12-01 Venkatachalam Natchiappan , Shrihari Vasudevan , Thalanayar Muthukumar

Point processes model the distribution of random point sets in mathematical spaces, such as spatial and temporal domains, with applications in fields like seismology, neuroscience, and economics. Existing statistical and machine learning…

Machine Learning · Computer Science 2024-10-31 David Lüdke , Enric Rabasseda Raventós , Marcel Kollovieh , Stephan Günnemann

The building of mathematical and computer models of cities has a long history. The core elements are models of flows (spatial interaction) and the dynamics of structural evolution. In this article, we develop a stochastic model of urban…

Methodology · Statistics 2018-05-10 L. Ellam , M. Girolami , G. A. Pavliotis , A. Wilson

Handover measurement is responsible for finding a handover target and directly decides the performance of mobility management. It is governed by a complex combination of parameters dealing with multi-cell scenarios and system dynamics. A…

Networking and Internet Architecture · Computer Science 2015-02-03 Van Minh Nguyen , Chung Shue Chen , Laurent Thomas

To gain a deeper understanding of the behavior and learning dynamics of (deep) artificial neural networks, it is valuable to employ mathematical abstractions and models. These tools provide a simplified perspective on network performance…

Machine Learning · Computer Science 2023-08-03 Stephan Johann Lehmler , Muhammad Saif-ur-Rehman , Tobias Glasmachers , Ioannis Iossifidis

The unrelenting increase in the population of mobile users and their traffic demands drive cellular network operators to densify their network infrastructure. Network densification shrinks the footprint of base stations (BSs) and reduces…

Information Theory · Computer Science 2016-07-22 Hazem Ibrahim , Hesham ElSawy , Uyen T. Nguyen , Mohamed-Slim Alouini

We construct a novel class of stochastic blockmodels using Bayesian nonparametric mixtures. These model allows us to jointly estimate the structure of multiple networks and explicitly compare the community structures underlying them, while…

Methodology · Statistics 2016-06-17 Perla Reyes , Abel Rodriguez

We analyze the coverage probability of multi-user uplink cellular networks with fractional power control. We use a stochastic geometry approach where the mobile users are distributed as a Poisson Point Process (PPP), whereas the serving…

Information Theory · Computer Science 2020-04-02 F. Javier Martin-Vega , F. Javier Lopez-Martinez , Gerardo Gomez , Mari Carmen Aguayo-Torres