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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

This article investigates the performance of an ultra-dense network (UDN) from an energy-efficiency (EE) standpoint leveraging the interplay between stochastic geometry (SG) and mean-field game (MFG) theory. In this setting, base stations…

Information Theory · Computer Science 2016-09-14 Jihong Park , Mehdi Bennis , Seong-Lyun Kim , Mérouane Debbah

We consider the problem of approximating the moment generating function (MGF) of a truncated random variable in terms of the MGF of the underlying (i.e., untruncated) random variable. The purpose of approximating the MGF is to enable the…

Statistics Theory · Mathematics 2007-06-13 Ronald W. Butler , Andrew T. A. Wood

The objective of this study is to jointly analyze the data rate and electromagnetic field (EMF) exposure in urban environments. Capitalizing on stochastic geometry (SG), a network level analysis is performed by modelling these environments…

Signal Processing · Electrical Eng. & Systems 2023-01-27 Charles Wiame , Simon Demey , Luc Vandendorpe , Philippe De Doncker , Claude Oestges

Deep generative models (DGMs) for graphs achieve impressively high expressive power thanks to very efficient and scalable neural networks. However, these networks contain non-linearities that prevent analytical computation of many standard…

Machine Learning · Computer Science 2025-08-12 Martin Rektoris , Milan Papež , Václav Šmídl , Tomáš Pevný

Molecular conformer generation (MCG) is an important task in cheminformatics and drug discovery. The ability to efficiently generate low-energy 3D structures can avoid expensive quantum mechanical simulations, leading to accelerated virtual…

Machine Learning · Computer Science 2023-10-23 Danny Reidenbach , Aditi S. Krishnapriyan

In this paper, we introduce an analytical framework to compute the average rate of downlink heterogeneous cellular networks. The framework leverages recent application of stochastic geometry to other-cell interference modeling and analysis.…

Information Theory · Computer Science 2016-11-18 Marco Di Renzo , Alessandro Guidotti , Giovanni E. Corazza

In this paper, a novel approach for joint power control and user scheduling is proposed for optimizing energy efficiency (EE), in terms of bits per unit energy, in ultra dense small cell networks (UDNs). Due to severe coupling in…

Networking and Internet Architecture · Computer Science 2016-11-17 Sumudu Samarakoon , Mehdi Bennis , Walid Saad , Mérouane Debba , Matti Latva-aho

The task of deducing three-dimensional molecular configurations from their two-dimensional graph representations holds paramount importance in the fields of computational chemistry and pharmaceutical development. The rapid advancement of…

Biomolecules · Quantitative Biology 2025-01-09 Bobin Yang , Jie Deng , Zhenghan Chen , Ruoxue Wu

Cellular networks are usually modeled by placing the base stations on a grid, with mobile users either randomly scattered or placed deterministically. These models have been used extensively but suffer from being both highly idealized and…

Information Theory · Computer Science 2016-11-15 Jeffrey G. Andrews , Francois Baccelli , Radha Krishna Ganti

Graph convolutional neural networks (GCNNs) have been attracting increasing research attention due to its great potential in inference over graph structures. However, insufficient effort has been devoted to the aggregation methods between…

Machine Learning · Computer Science 2019-05-15 Penghui Sun , Jingwei Qu , Xiaoqing Lyu , Haibin Ling , Zhi Tang

Due to the increasing heterogeneity and deployment density of emerging cellular networks, new flexible and scalable approaches for their modeling, simulation, analysis and optimization are needed. Recently, a new approach has been proposed:…

Information Theory · Computer Science 2015-06-15 Wei Lu , Marco Di Renzo

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

Methods allowing the synthesis of realistic cell shapes could help generate training data sets to improve cell tracking and segmentation in biomedical images. Deep generative models for cell shape synthesis require a light-weight and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-07 David Wiesner , Julian Suk , Sven Dummer , David Svoboda , Jelmer M. Wolterink

In this paper, we present a novel approach to approximate the gain function of the feedback particle filter (FPF). The exact gain function is the solution of a Poisson equation involving a probability-weighted Laplacian. The numerical…

Machine Learning · Computer Science 2022-06-07 S. Yagiz Olmez , Amirhossein Taghvaei , Prashant G. Mehta

Stochastic geometry (SG) has been successfully used as a modelling tool for cellular networks to characterize the coverage probability in both the downlink (DL) and uplink (UL) systems, under the assumption that the base stations (BS) are…

Networking and Internet Architecture · Computer Science 2021-09-30 Hamed Nassar , Gehad Taher , El-Sayed El-Hady

Multiple input multiple output (MIMO) approach in fiber optical communication has emerged as an effective proposition to address the ever increasing demand for information exchange. In the ergodic case, the multiple channels, associated…

Information Theory · Computer Science 2022-11-28 Aritra Laha , Santosh Kumar

The current and future developments of electric power systems are pushing the boundaries of reliability assessment to consider distribution networks with renewable generators. Given the stochastic features of these elements, most modeling…

Other Computer Science · Computer Science 2012-07-02 Yan-Fu Li , Enrico Zio

We explore the potential of Graph Neural Networks (GNNs) to improve the performance of high-dimensional effective field theory parameter fits to collider data beyond traditional rectangular cut-based differential distribution analyses. In…

High Energy Physics - Phenomenology · Physics 2022-05-11 Oliver Atkinson , Akanksha Bhardwaj , Stephen Brown , Christoph Englert , David J. Miller , Panagiotis Stylianou

We propose a distribution-free approach to the study of random geometric graphs. The distribution of vertices follows a Poisson point process with intensity function $nf(\cdot)$, where $n\in \mathbb{N}$, and $f$ is a probability density…

Probability · Mathematics 2012-10-22 Srikanth K. Iyer , Debleena Thacker
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