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It was recently found that cascading failures can cause the abrupt breakdown of a system of interdependent networks. Using the percolation method developed for single clustered networks by Newman [Phys. Rev. Lett. {\bf 103}, 058701 (2009)],…

Physics and Society · Physics 2013-03-11 Xuqing Huang , Shuai Shao , Huijuan Wang , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley

In this paper, downlink transmission scheduling of popular files is optimized with the assistance of wireless cache nodes. Specifically, the requests of each file, which is further divided into a number of segments, are modeled as a Poisson…

Information Theory · Computer Science 2019-02-27 Bojie Lv , Lexiang Huang , Rui wang

There is a very rich literature proposing Bayesian approaches for clustering starting with a prior probability distribution on partitions. Most approaches assume exchangeability, leading to simple representations in terms of Exchangeable…

Methodology · Statistics 2021-02-02 Sally Paganin , Amy H. Herring , Andrew F. Olshan , David B. Dunson

For unmanned aerial vehicle (UAV) aided millimeter wave (mmWave) networks, we propose a unified three-dimensional (3D) spatial framework in this paper to model a general case that uncovered users send messages to base stations via UAVs.…

Information Theory · Computer Science 2019-09-27 Wenqiang Yi , Yuanwei Liu , Eliane Bodanese , Arumugam Nallanathan , George K. Karagiannidis

Load balancing by proactively offloading users onto small and otherwise lightly-loaded cells is critical for tapping the potential of dense heterogeneous cellular networks (HCNs). Offloading has mostly been studied for the downlink, where…

Information Theory · Computer Science 2015-03-25 Sarabjot Singh , Xinchen Zhang , Jeffrey G. Andrews

Caching popular contents at base stations (BSs) of a heterogeneous cellular network (HCN) avoids frequent information passage from content providers to the network edge, thereby reducing latency and alleviating traffic congestion in…

Information Theory · Computer Science 2017-06-20 Juan Wen , Kaibin Huang , Sheng Yang , Victor O. K. Li

In this paper, we propose a methodology for estimating the statistics of the intercell interference power in the downlink of a multicellular network. We first establish an analytical expression for the probability law of the interference…

Information Theory · Computer Science 2011-07-22 Benoit Pijcke , Marie Zwingelstein-Colin , Marc Gazalet , Mohamed Gharbi , Patrick Corlay

Slice sampling is a standard Monte Carlo technique for Dirichlet process (DP)-based models, widely used in posterior simulation. However, formal assessments of the scalability of posterior slice samplers have remained largely unexplored,…

Computation · Statistics 2026-02-03 Beatrice Franzolini , Francesco Gaffi

This paper introduces a general theoretical framework to analyze noise limited networks. More precisely, we consider two homogenous Poisson point processes of base stations and users. General model of radio signal propagation and effect of…

Probability · Mathematics 2010-12-13 Laurent Decreusefond , Philippe Martins , Thanh-Tung Vu

Unmanned aerial vehicles (UAVs) are expected to coexist with conventional terrestrial cellular networks and become an important component to support high rate transmissions. This paper presents an analytical framework for evaluating the…

Networking and Internet Architecture · Computer Science 2021-06-09 Mengbing Liu , Guangji Chen , Ling Qiu

In harsh environments such as mountainous terrain, dense vegetation areas, or urban landscapes, a single type of unmanned aerial vehicles (UAVs) may encounter challenges like flight restrictions, difficulty in task execution, or increased…

Networking and Internet Architecture · Computer Science 2025-03-24 Wen-Yu Dong , Shaoshi Yang , Wei Lin , Wei Zhao , Jia-Xing Gui , Sheng Chen

Model-based clustering is widely-used in a variety of application areas. However, fundamental concerns remain about robustness. In particular, results can be sensitive to the choice of kernel representing the within-cluster data density.…

Machine Learning · Statistics 2019-06-27 Leo L Duan , David B Dunson

In this letter, we propose a new coordinated multipoint (CoMP) technique based on mutual information (MI) accumulation using rateless codes. Using a stochastic geometry model for the cellular downlink, we quantify the performance…

Information Theory · Computer Science 2017-02-14 Amogh Rajanna , Martin Haenggi

Results are presented for optimizing device-to-device communications in cellular networks, while maintaining spectral efficiency of the base-station-to-device downlink channel. We build upon established and tested stochastic geometry models…

Networking and Internet Architecture · Computer Science 2017-05-04 Bartłomiej Błaszczyszyn , Paul Keeler , Paul Mühlethaler

The problem of covering random points in a plane with sets of a given shape has several practical applications in communications and operations research. One especially prominent application is the coverage of randomly-located points of…

Computational Geometry · Computer Science 2022-09-01 Christophter Thron , Anthony Moreno

The problem of maximizing weighted sum rates in the downlink of a multicell environment is of considerable interest. Unfortunately, this problem is known to be NP-hard. For the case of multi-antenna base stations and single antenna mobile…

Information Theory · Computer Science 2012-11-12 Le-Nam Tran , Muhammad Fainan Hanif , Antti Tölli , Markku Juntti

Ensuring physical-layer security in non-terrestrial networks (NTNs) is challenging due to their global coverage and multi-hop relaying across heterogeneous network layers, where the locations and channels of potential eavesdroppers are…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Hyeonsu Lyu , Yumin Kim , Hyun Jong Yang

Probabilistic circuits (PCs) have gained prominence in recent years as a versatile framework for discussing probabilistic models that support tractable queries and are yet expressive enough to model complex probability distributions.…

Machine Learning · Computer Science 2024-03-12 Pedro Zuidberg Dos Martires

Widely used closed product-form networks have emerged recently as a primary model of stochastic growth of sub-cellular structures, e.g., cellular filaments. In the baseline model, homogeneous monomers attach and detach stochastically to…

Probability · Mathematics 2020-07-30 Predrag Jelenkovic , Jane Kondev , Lishibanya Mohapatra , Petar Momcilovic

Data of the form of event times arise in various applications. A simple model for such data is a non-homogeneous Poisson process (NHPP) which is specified by a rate function that depends on time. We consider the problem of having access to…

Machine Learning · Computer Science 2018-06-22 Duncan Barrack , Simon Preston