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Poisson Point Process (PPP) has been widely adopted as an efficient model for the spatial distribution of base stations (BSs) in cellular networks. However, real BSs deployment are rarely completely random, due to environmental impact on…

Networking and Internet Architecture · Computer Science 2014-08-04 Yifan Zhou , Zhifeng Zhao , Qianlan Ying , Rongpeng Li , Xuan Zhou , Honggang Zhang

Efficient spectrum use in wireless sensor networks through spatial reuse requires effective models of packet reception at the physical layer in the presence of interference. Despite recent progress in analytic and simulations research into…

Networking and Internet Architecture · Computer Science 2014-05-19 Helga Gudmundsdottir , Eyjólfur I Ásgeirsson , Marijke H. L. Bodlaender , Joseph T. Foley , Magnús M. Halldórsson , Ymir Vigfusson

Determinantal point processes (DPPs) are probability models over subsets of a ground set that favor diverse selections while suppressing redundancy. That is, they tend to assign higher likelihood to collections whose elements complement one…

Optimization and Control · Mathematics 2026-04-13 Mohamad H. Kazma , Ahmad F. Taha

We study the flow-level performance of random wireless networks. The locations of base stations (BSs) follow a Poisson point process. The number and positions of active users are dynamic. We associate a queue to each BS. The performance and…

Information Theory · Computer Science 2013-08-23 Richard Combes , Eitan Altman

The nearest-neighbor level-spacing distributions are a fundamental quantity of disordered systems and universal. It is well-known that extended and localized states of random Hermitian systems follow the Wigner-Dyson and the Poison…

Disordered Systems and Neural Networks · Physics 2022-08-23 C. Wang , X. R. Wang

This paper presents a general model framework for detecting the preferential sampling of environmental monitors recording an environmental process across space and/or time. This is achieved by considering the joint distribution of an…

Methodology · Statistics 2019-04-09 Joe Watson , James V. Zidek , Gavin Shaddick

Keeler, Ross and Xia (2016) recently derived approximation and convergence results, which imply that the point process formed from the signal strengths received by an observer in a wireless network under a general statistical propagation…

Networking and Internet Architecture · Computer Science 2016-11-09 Paul Keeler , Nathan Ross , Aihua Xia , Bartlomiej Blaszczyszyn

To understand the spatial deployment of base stations (BSs) is the first step to analyze the performance of cellular networks and further design efficient networking protocols. Poisson point process (PPP), which has been widely adopted to…

Information Theory · Computer Science 2018-11-20 Rongpeng Li , Zhifeng Zhao , Yi Zhong , Chen Qi , Honggang Zhang

A fine-grained analysis of the cache-enabled networks is crucial for system design. In this paper, we focus on the meta distribution of the signal-to-interference-plus-noise-ratio (SINR) in the mmWave heterogeneous networks where the base…

Information Theory · Computer Science 2020-09-17 Le Yang , Fu-Chun Zheng , Shi Jin

The millimeter wave (mmWave) band has the potential to provide high throughput among wearable devices. When mmWave wearable networks are used in crowded environments, such as on a bus or train, antenna directivity and orientation hold the…

Information Theory · Computer Science 2015-12-03 Kiran Venugopal , Matthew C. Valenti , Robert W. Heath

The homogeneous poisson point process (PPP) is widely used to model temporal, spatial or both topologies of base stations (BSs) and mobile terminals (MTs). However, negative spatial correlation in BSs, due to strategical deployments, and…

Information Theory · Computer Science 2016-03-08 Hafiz Attaul Mustafa , Muhammad Zeeshan Shakir , Ali Riza Ekti , Muhammad Ali Imran , Rahim Tafazolli

In coverage-oriented networks, base stations (BSs) are deployed in a way such that users at the cell boundaries achieve sufficient signal strength. The shape and size of cells vary from BS to BS, since the large-scale signal propagation…

Information Theory · Computer Science 2021-01-05 Ke Feng , Martin Haenggi

A fine-grained analysis of network performance is crucial for system design. In this paper, we focus on the meta distribution of the signal-to-interference-plus-noise-ratio (SINR) in the mmWave heterogeneous networks where the base stations…

Information Theory · Computer Science 2022-01-20 Le Yang , Fu-Chun Zheng , Shi Jin

We introduce a transformation of a Neural Radiance Field (NeRF) to an equivalent Poisson Point Process (PPP). This PPP transformation allows for rigorous quantification of uncertainty in NeRFs, in particular, for computing collision…

Robotics · Computer Science 2024-07-04 Timothy Chen , Preston Culbertson , Mac Schwager

The convergence speed of stochastic gradient descent (SGD) can be improved by actively selecting mini-batches. We explore sampling schemes where similar data points are less likely to be selected in the same mini-batch. In particular, we…

Machine Learning · Statistics 2018-06-21 Cheng Zhang , Cengiz Öztireli , Stephan Mandt , Giampiero Salvi

In multi-user wireless packet networks interference, typically modeled as packet collision, is the throughput bottleneck. Users become aware of the interference pattern via feedback and use this information for contention resolution and for…

Information Theory · Computer Science 2018-07-24 Alireza Vahid , Robert Calderbank

Contemporary grasp detection approaches employ deep learning to achieve robustness to sensor and object model uncertainty. The two dominant approaches design either grasp-quality scoring or anchor-based grasp recognition networks. This…

Robotics · Computer Science 2021-12-16 Ruinian Xu , Fu-Jen Chu , Patricio A. Vela

It has recently been observed that the SIR distributions of a variety of cellular network models and transmission techniques look very similar in shape. As a result, they are well approximated by a simple horizontal shift (or gain) of the…

Information Theory · Computer Science 2015-11-30 Radha K. Ganti , Martin Haenggi

We propose a method for detecting significant interactions in very large multivariate spatial point patterns. This methodology develops high dimensional data understanding in the point process setting. The method is based on modelling the…

Methodology · Statistics 2017-10-25 Tuomas Rajala , David Murrell , Sofia Olhede

Networks play a central role in modern data analysis, enabling us to reason about systems by studying the relationships between their parts. Most often in network analysis, the edges are given. However, in many systems it is difficult or…

Machine Learning · Statistics 2014-02-06 Scott W. Linderman , Ryan P. Adams
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