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We prove a Poisson process approximation result for stabilizing functionals of a determinantal point process. Our results use concrete couplings of determinantal processes with different Palm measures and exploit their association…

Probability · Mathematics 2024-02-14 Moritz Otto

Providing performance guarantees is one of the critical objectives of recent and future communication networks, toward which regulations, i.e., constraints on key system parameters, have played an indispensable role. This is the case for…

Information Theory · Computer Science 2026-02-06 Ke Feng , François Baccelli , Catherine Rosenberg

This tutorial-style overview article examines the fundamental principles and methods of robustness, using wireless sensing and communication (WSC) as the narrative and exemplifying framework. First, we formalize the conceptual and…

Signal Processing · Electrical Eng. & Systems 2026-02-11 Shixiong Wang , Wei Dai , Li-Chun Wang , Geoffrey Ye Li

We address the problem of identifying functional interactions among stochastic neurons with variable-length memory from their spiking activity. The neuronal network is modeled by a stochastic system of interacting point processes with…

Applications · Statistics 2025-07-01 Ricardo F. Ferreira , Matheus E. Pacola , Vitor G. Schiavone , Rodrigo F. O. Pena

The next generation of wireless networks will feature a more flexible radio access design, integrating multiple new technological solutions (e.g., massive Multiple-Input Multiple-Output (MIMO), millimeter waves) to satisfy different…

Networking and Internet Architecture · Computer Science 2020-05-20 Tommaso Zugno , Michele Polese , Natale Patriciello , Biljana Bojović , Sandra Lagen , Michele Zorzi

Providing network connectivity to mobile users is a key requirement for cellular wireless networks. User mobility impacts network performance as well as user perceived service quality. For efficient network dimensioning and optimization, it…

Networking and Internet Architecture · Computer Science 2018-05-09 Hina Tabassum , Mohammad Salehi , Ekram Hossain

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

We propose a nonlinear filtering framework for approaching the problems of channel state tracking and spatiotemporal channel gain prediction in mobile wireless sensor networks, in a Bayesian setting. We assume that the wireless channel…

Applications · Statistics 2015-02-09 Dionysios S. Kalogerias , Athina P. Petropulu

This paper studies a deep learning approach for binary assignment problems in wireless networks, which identifies binary variables for permutation matrices. This poses challenges in designing a structure of a neural network and its training…

Machine Learning · Computer Science 2021-09-28 Minseok Kim , Hoon Lee , Hongju Lee , Inkyu Lee

Spatial Poisson point processes on finite-dimensional Euclidean space provide fundamental mathematical tools for modeling random spatial point patterns. In this paper, we introduce and analyze several Poisson-type spatial point processes.…

Probability · Mathematics 2026-01-26 Pradeep Vishwakarma

The problem of base station cooperation has recently been set within the framework of Stochastic Geometry. Existing works consider that a user dynamically chooses the set of stations that cooperate for his/her service. However, this…

Information Theory · Computer Science 2015-09-08 Anastasios Giovanidis , Luis David Alvarez Corrales , Laurent Decreusefond

This study proposes a novel stochastic geometry framework analyzing power control strategies in spatially correlated network topologies. Heterogeneous networks are studied, with users modeled via the superposition of homogeneous and Poisson…

Signal Processing · Electrical Eng. & Systems 2024-02-23 Martin Willame , Charles Wiame , Jérôme Louveaux , Claude Oestges , Luc Vandendorpe

The industry is satisfying the increasing demand for wireless bandwidth by densely deploying a large number of access points which are centrally managed, e.g. enterprise WiFi networks deployed in university campuses, companies, airports…

Networking and Internet Architecture · Computer Science 2014-05-02 Antonios Michaloliakos , Ryan Rogalin , Yonglong Zhang , Konstantinos Psounis , Giuseppe Caire

Point processes are stochastic models generating interacting points or events in time, space, etc. Among characteristics of these models, first-order intensity and conditional intensity functions are often considered. We focus on…

Statistics Theory · Mathematics 2023-05-24 Jean-François Coeurjolly , Ismaïla Ba , Achmad Choiruddin

Sparse sequences of neural spikes are posited to underlie aspects of working memory, motor production, and learning. Discovering these sequences in an unsupervised manner is a longstanding problem in statistical neuroscience. Promising…

Machine Learning · Statistics 2020-10-13 Alex H. Williams , Anthony Degleris , Yixin Wang , Scott W. Linderman

In this paper we consider point processes specified on directed linear networks, i.e. linear networks with associated directions. We adapt the so-called conditional intensity function used for specifying point processes on the time line to…

Statistics Theory · Mathematics 2019-01-03 Jakob G. Rasmussen , Heidi S. Christensen

In recent times, the use of stochastic geometry has become a popular and important tool for performance analysis of next-generation dense small cell wireless networks. Usually, such networks are modeled using 2 dimensional spatial Poisson…

Information Theory · Computer Science 2020-01-01 Aritra Chatterjee , Suvra Sekhar Das

The aim of the paper is to construct spatial models for the activation of sweat glands for healthy subjects and subjects suffering from peripheral neuropathy by using videos of sweating recorded from the subjects. The sweat patterns are…

Methodology · Statistics 2021-11-22 Mikko Kuronen , Mari Myllymäki , Adam Loavenbruck , Aila Särkkä

In this paper, a novel Poisson hole process (PHP) modeling of wireless networks is proposed. We consider a more general hole shape, i.e. circular sector holes in a random direction, to capture the spatial separation between tiers in a…

Information Theory · Computer Science 2018-12-17 Mehdi Sattari , Aliazam Abbasfar

We implement a wireless indoor navigation system based on the variational Gaussian process state-space model (GPSSM) with smartphone-collected WiFi received signal strength (RSS) and inertial measurement unit (IMU) readings. We adapt the…

Signal Processing · Electrical Eng. & Systems 2020-03-19 Ang Xie , Feng Yin , Bo Ai , Shuguang Cui