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This paper proposes a new methodology to perform Bayesian inference for a class of multidimensional Cox processes in which the intensity function is piecewise constant. Poisson processes with piecewise constant intensity functions are…

Methodology · Statistics 2022-11-16 Flavio B. Gonçalves , Barbara C. C. Dias

In this letter, we present a novel Gaussian Process Learning-based Probabilistic Optimal Power Flow (GP-POPF) for solving POPF under renewable and load uncertainties of arbitrary distribution. The proposed method relies on a non-parametric…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Parikshit Pareek , Hung D. Nguyen

We propose a scalable framework for inference in an inhomogeneous Poisson process modeled by a continuous sigmoidal Cox process that assumes the corresponding intensity function is given by a Gaussian process (GP) prior transformed with a…

Machine Learning · Statistics 2019-06-10 Virginia Aglietti , Edwin V. Bonilla , Theodoros Damoulas , Sally Cripps

We study, in this paper, the impact of imperfect small cell positioning with respect to traffic hotspots in cellular networks. In order to derive the throughput distribution in macro and small cells, we firstly perform static level analysis…

Networking and Internet Architecture · Computer Science 2016-08-04 Aymen Jaziri , Ridha Nasri , Tijani Chahed

A comprehensive vehicular network analysis requires modeling the street system and vehicle locations. Even when Poisson point processes (PPPs) are used to model the vehicle locations on each street, the analysis is barely tractable. That…

Networking and Internet Architecture · Computer Science 2021-11-30 Jeya Pradha Jeyaraj , Martin Haenggi , Ahmed Hamdi Sakr , Hongsheng Lu

The evolution of skyline and ranking queries has created new archetypes like flexible skylines, which have proven to be an efficient method to select relevant data from large datasets using multi objective optimization. This paper aims to…

Databases · Computer Science 2022-02-01 Jaime Pons Garrido

To provide a more accurate description of the driving behaviors in vehicle queues, a namely Markov-Gap cellular automata model is proposed in this paper. It views the variation of the gap between two consequent vehicles as a Markov process…

Data Analysis, Statistics and Probability · Physics 2009-04-23 Fa Wang , Li Li , Jianming Hu , Yan Ji , Danya Yao , Yi Zhang , Xuexiang Jin , Yuelong Su , Zheng Wei

The notion of meta distribution as the distribution of the conditional coverage probability (CCP) was introduced in \cite{Haenggi2015}. In this letter, we show how we can reconstruct the entire meta distribution only from its moments using…

Information Theory · Computer Science 2018-07-12 Sudarshan Guruacharya , Ekram Hossain

The point process of concurrent users is critical for the analysis of cellular networks, in particular for the uplink and for full-duplex communication. We analyze the properties of two popular models. For the first one, we provide an…

Information Theory · Computer Science 2016-11-28 Martin Haenggi

The intensity matching approach for tractable performance evaluation and optimization of cellular networks is introduced. It assumes that the base stations are modeled as points of a Poisson point process and leverages stochastic geometry…

Information Theory · Computer Science 2016-04-12 Marco Di Renzo , Wei Lu , Peng Guan

Among the different models of networks usually considered, the hexagonal network model is the most popular. However, it requires extensive numerical computations. The Poisson network model, for which the base stations (BS) locations form a…

Information Theory · Computer Science 2014-01-27 Jean-Marc Kelif , Stephane Senecal , Constant Bridon , Marceau Coupechoux

Over the past decade, many works on the modeling of wireless networks using stochastic geometry have been proposed. Results about probability of coverage, throughput or mean interference, have been provided for a wide variety of networks…

Networking and Internet Architecture · Computer Science 2016-02-08 Alexandre Mouradian

In this paper, energy efficiency of relay-assisted millimeter wave (mmWave) cellular networks with Poisson Point Process (PPP) distributed base stations (BSs) and relay stations (RSs) is analyzed using tools from stochastic geometry. The…

Information Theory · Computer Science 2015-10-21 Esma Turgut , M. Cenk Gursoy

Massive multiple-input multiple-output (MIMO) is a transmission technique for cellular systems that uses many antennas to support not-as-many users. Thus far, the performance of massive MIMO has only been examined in finite cellular…

Information Theory · Computer Science 2013-05-13 Tianyang Bai , Robert W. Heath,

Voronoi tessellations of Poisson point processes are widely used for modeling many types of physical and biological systems. In this paper, we analyze simulated Poisson-Voronoi structures containing a total of 250,000,000 cells to provide…

Computational Physics · Physics 2014-01-09 Emanuel A. Lazar , Jeremy K. Mason , Robert D. MacPherson , David J. Srolovitz

Edge-caching is recognized as an efficient technique for future cellular networks to improve network capacity and user-perceived quality of experience. To enhance the performance of caching systems, designing an accurate content request…

Signal Processing · Electrical Eng. & Systems 2019-03-08 Sajad Mehrizi , Anestis Tsakmalis , Symeon Chatzinotas , Bjorn Ottersten

We investigate electron transport through multiterminal networks hosting Majorana bound states (MBS) in the framework of full counting statistics (FCS). In particular, we apply our general results to T-shaped junctions of two Majorana…

Mesoscale and Nanoscale Physics · Physics 2014-11-26 Luzie Weithofer , Patrik Recher , Thomas L. Schmidt

Poisson Voronoi tessellations have been used in modeling many types of systems across different sciences, from geography and astronomy to telecommunications. The existing literature on the statistical properties of Poisson Voronoi cells is…

Networking and Internet Architecture · Computer Science 2020-09-09 Konstantinos Koufos , Carl P. Dettmann

This work presents a non-parametric estimator for the cumulative distribution function (CDF) of the job-size distribution for a queue with compound Poisson input. The workload process is observed according to an independent Poisson sampling…

Statistics Theory · Mathematics 2025-12-11 Liron Ravner

In this paper, we present the first stochastic geometry-based performance analysis of a drone cellular network in which drone base stations (DBSs) are initially distributed based on a Poisson point process (PPP) and move according to a…

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