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We consider mixture models where location parameters are a priori encouraged to be well separated. We explore a class of determinantal point process (DPP) mixture models, which provide the desired notion of separation or repulsion. Instead…

统计方法学 · 统计学 2017-05-16 Ilaria Bianchini , Alessandra Guglielmi , Fernando A. Quintana

Goldman [7] proved that the distribution of a stationary determinantal point process (DPP) $\Phi$ can be coupled with its reduced Palm version $\Phi^{0,!}$ such that there exists a point process $\eta$ where $\Phi = \Phi^{0,!} \cup \eta$ in…

概率论 · 数学 2018-07-26 François Baccelli , Eliza O'Reilly

Spatial Poisson Point Process (PPP) network, whose Base Stations (BS)s are distributed according to a Poisson distribution, is currently used as a accurate model to analyse the performance of a cellular network. Most current work on…

信息论 · 计算机科学 2016-07-13 Sinh Cong Lam , Kumbesan Sandrasegaran

Determinantal Point Processes (DPPs) provide an elegant and versatile way to sample sets of items that balance the point-wise quality with the set-wise diversity of selected items. For this reason, they have gained prominence in many…

机器学习 · 统计学 2019-01-09 Zelda Mariet , Yaniv Ovadia , Jasper Snoek

Stochastic geometry models of wireless networks based on Poisson point processes are increasingly being developed with a focus on studying various signal-to-interference-plus-noise ratio (SINR) values. We show that the SINR values…

概率论 · 数学 2014-08-05 Holger Paul Keeler , Bartlomiej Blaszczyszyn

Generative models have proven to be an outstanding tool for representing high-dimensional probability distributions and generating realistic-looking images. An essential characteristic of generative models is their ability to produce…

机器学习 · 计算机科学 2019-11-26 Mohamed Elfeki , Camille Couprie , Morgane Riviere , Mohamed Elhoseiny

Ambient RF (Radio Frequency) energy harvesting technique has recently been proposed as a potential solution to provide proactive energy replenishment for wireless devices. This paper aims to analyze the performance of a battery-free…

网络与互联网体系结构 · 计算机科学 2016-11-17 Ian Flint , Xiao Lu , Nicolas Privault , Dusit Niyato , Ping Wang

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…

信息论 · 计算机科学 2014-01-27 Jean-Marc Kelif , Stephane Senecal , Constant Bridon , Marceau Coupechoux

The Probability Hypothesis Density (PHD) filter, which is used for multi-target tracking based on sensor measurements, relies on the propagation of the first-order moment, or intensity function, of a point process. This algorithm assumes…

概率论 · 数学 2020-12-11 Nicolas Privault , Timothy Teoh

In many applications involving spatial point patterns, we find evidence of inhibition or repulsion. The most commonly used class of models for such settings are the Gibbs point processes. A recent alternative, at least to the statistical…

统计计算 · 统计学 2016-08-29 Shinichiro Shirota , Alan. E. Gelfand

The homogeneous Poisson point process (PPP) is widely used to model spatial distribution of base stations and mobile terminals. The same process can be used to model underlay device-to-device (D2D) network, however, neglecting homophilic…

信息论 · 计算机科学 2017-05-01 Hafiz Attaul Mustafa , Muhammad Zeeshan Shakir , Muhammad Ali Imran , Rahim Tafazolli

Determinantal point processes (a.k.a. DPPs) have recently become popular tools for modeling the phenomenon of negative dependence, or repulsion, in data. However, our understanding of an analogue of a classical parametric statistical theory…

机器学习 · 统计学 2021-11-22 Subhro Ghosh , Philippe Rigollet

Gaussian processes (GPs) are ubiquitous tools for modeling and predicting continuous processes in physical and engineering sciences. This is partly due to the fact that one may employ a Gaussian process as an interpolator while facilitating…

统计理论 · 数学 2025-12-16 D. Andrew Brown , Peter Kiessler , John Nicholson

We provide a Poisson approximation result for dependent thinnings of Gibbs point processes as well as qualitative and quantitative central limit theorems for geometric functionals of Gibbs point processes in increasing observation windows.…

概率论 · 数学 2026-01-27 Christian Hirsch , Moritz Otto , Anne Marie Svane

Consider the communication of a single-user aided by a nearby relay involved in a large wireless network where the nodes form an homogeneous Poisson point process. Since this network is interference-limited the asymptotic error probability…

信息论 · 计算机科学 2011-03-14 Andres Altieri , Leonardo Rey Vega , Cecilia G. Galarza , Pablo Piantanida

In substations, the presence of random transient impulsive interference sources makes noise highly non-Gaussian. In this paper, the primary interest is to provide a general model for wireless channel in presence of these transient impulsive…

统计方法学 · 统计学 2015-04-28 Minh Au , Basile L. Agba , François Gagnon

Signal-to-noise-plus-interference ratio (SINR) outage probability is among one of the key performance metrics of a wireless cellular network. In this paper, we propose a semi-analytical method based on saddle point approximation (SPA)…

信息论 · 计算机科学 2017-05-03 Sudarshan Guruacharya , Hina Tabassum , Ekram Hossain

In wireless networks with random node distribution, the underlying point process model and the channel fading process are usually considered separately. A unified framework is introduced that permits the geometric characterization of fading…

信息论 · 计算机科学 2007-11-14 Martin Haenggi

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

This paper investigates the problem of Gaussian approximation for the wireless multi-access interference distribution in large spatial wireless networks. First, a principled methodology is presented to establish rates of convergence of the…

概率论 · 数学 2015-06-04 Hazer Inaltekin