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In order to study the fundamental limits of network densification, we look at the spatial spectral efficiency gain achieved when densely deployed communication devices embedded in the $d$-dimensional Euclidean space are optimally `matched'…

无序系统与神经网络 · 物理学 2019-11-14 Alexander P. Kartun-Giles , Suhanya Jayaprakasam , Sunwoo Kim

In this paper, we study lower bounds for randomized solutions to the maximal independent set (MIS) and connected dominating set (CDS) problems in the dual graph model of radio networks---a generalization of the standard graph-based model…

分布式、并行与集群计算 · 计算机科学 2014-08-06 Calvin Newport

Bottleneck Steiner networks model energy consumption in wireless ad-hoc networks. The task is to design a network spanning a given set of terminals and at most $k$ Steiner points such that the length of the longest edge is minimised. The…

组合数学 · 数学 2019-07-09 M Brazil , C Ras , D Thomas , G Xu

In this paper, we examine the benefits of multiple antenna communication in random wireless networks, the topology of which is modeled by stochastic geometry. The setting is that of the Poisson bipolar model introduced in [1], which is a…

信息论 · 计算机科学 2016-08-23 Junse Lee , Namyoon Lee , Francois Baccelli

Cellular systems are becoming more heterogeneous with the introduction of low power nodes including femtocells, relays, and distributed antennas. Unfortunately, the resulting interference environment is also becoming more complicated,…

信息论 · 计算机科学 2013-04-29 Robert W. Heath , Marios Kountouris , Tianyang Bai

Mesoscopic models of finite-size neuronal populations are crucial to understand the dynamics of neural networks in the brain, especially their fluctuations and response to stimuli. However, current theories to derive such models are based…

神经元与认知 · 定量生物学 2026-01-26 Nils E. Greven , Jonas Ranft , Tilo Schwalger

Lattices are important as models for the node locations in wireless networks for two main reasons: (1) When network designers have control over the placement of the nodes, they often prefer a regular arrangement in a lattice for coverage…

信息论 · 计算机科学 2010-04-02 Martin Haenggi

Data analysis in science, e.g., high-energy particle physics, is often subject to an intractable likelihood if the observables and observations span a high-dimensional input space. Typically the problem is solved by reducing the…

数据分析、统计与概率 · 物理学 2021-01-14 Stefan Wunsch , Simon Jörger , Roger Wolf , Günter Quast

We present methodology for estimating the stochastic intensity of a doubly stochastic Poisson process. Statistical and theoretical analyses of traffic traces show that these processes are appropriate models of high intensity traffic…

机器学习 · 统计学 2020-07-24 Ruixin Wang , Prateek Jaiwal , Harsha Honnappa

Recent theoretical work suggests that systematic pruning of disordered networks consisting of nodes connected by springs can lead to materials that exhibit a host of unusual mechanical properties. In particular, global properties such as…

We develop a model in which interactions between nodes of a dynamic network are counted by non homogeneous Poisson processes. In a block modelling perspective, nodes belong to hidden clusters (whose number is unknown) and the intensity…

机器学习 · 统计学 2017-07-11 Marco Corneli , Pierre Latouche , Fabrice Rossi

Low-connectivity polymer networks were recently found to behave auxetically when subjected to small tensions, that is, their Poisson's ratio $\nu$ becomes negative. In addition, for specific state points, numerical simulations revealed that…

软凝聚态物质 · 物理学 2024-01-30 Andrea Ninarello , José Ruiz-Franco , Emanuela Zaccarelli

We consider time-periodically perturbed 1D Hamiltonian systems possessing one or more separatrices. If the perturbation is weak, then the separatrix chaos is most developed when the perturbation frequency lies in the logarithmically small…

混沌动力学 · 物理学 2015-05-13 S. M. Soskin , R. Mannella , O. M. Yevtushenko , I. A. Khovanov , P. V. E. McClintock

We study the effect of assortative and disassortative mixing on the robustness of networks under random node failures. For ordinary (dyadic) networks, by using the generating function technique and stochastic simulations, we show that the…

物理与社会 · 物理学 2026-04-16 L. D. Valdez , C. E. La Rocca

we study the statistical properties of inhomogenous Poisson networks. we perform a detailed analysis of the statistical properties of Poisson networks and show that the topological properties of random cellular structures, can be derived…

统计力学 · 物理学 2007-05-23 Kh. Saaidi , M. R. Setare

We study the percolation in coupled networks with both inner-dependency and inter-dependency links, where the inner- and inter-dependency links represent the dependencies between nodes in the same or different networks, respectively. We…

物理与社会 · 物理学 2016-05-09 Run-Ran Liu , Ming Li , Chun-Xiao Jia , Bing-Hong Wang

Densifying the network and deploying more antennas at each access point are two principal ways to boost the capacity of wireless networks. However, due to the complicated distributions of random signal and interference channel gains,…

信息论 · 计算机科学 2017-05-03 Xianghao Yu , Chang Li , Jun Zhang , Khaled B. Letaief

This paper presents a tractable model for analyzing non-coherent joint transmission base station (BS) cooperation, taking into account the irregular BS deployment typically encountered in practice. Besides cellular-network specific aspects…

信息论 · 计算机科学 2014-09-22 Ralph Tanbourgi , Sarabjot Singh , Jeffrey G. Andrews , Friedrich K. Jondral

We introduce a novel neuromorphic network architecture based on a lattice of exciton-polariton condensates, intricately interconnected and energized through non-resonant optical pumping. The network employs a binary framework, where each…

无序系统与神经网络 · 物理学 2025-01-17 Evgeny Sedov , Alexey Kavokin

This paper investigates the robust transmission design (RTD) of a multi-cell device-to-device (D2D) underlaid cellular network with imperfect channel state information (CSI). The bounded model is adopted to characterize the CSI impairment…

信息论 · 计算机科学 2018-04-17 Hao Xu , Gordon L. Stüber , Wei Xu , Cunhua Pan , Jianfeng Shi , Zhaohui Yang , Ming Chen