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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…

信息论 · 计算机科学 2018-07-24 Alireza Vahid , Robert Calderbank

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

机器人学 · 计算机科学 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

Spatio-temporal Hawkes point processes are a particularly interesting class of stochastic point processes for modeling self-exciting behavior, in which the occurrence of one event increases the probability of other events occurring. These…

统计计算 · 统计学 2025-11-19 Alba Bernabeu , Jorge Mateu

Self-exciting spatiotemporal Hawkes processes have found increasing use in the study of large-scale public health threats ranging from gun violence and earthquakes to wildfires and viral contagion. Whereas many such applications feature…

统计方法学 · 统计学 2021-07-14 Andrew J. Holbrook , Xiang Ji , Marc A. Suchard

I present an approach for modeling areal spatial covariance by considering the stationary distribution of a spatio-temporal Markov random walk. In the areal data case, this stationary distribution corresponds to an intrinsic simultaneous…

统计方法学 · 统计学 2015-07-06 Ephraim M. Hanks

In regression models for spatial data, it is often assumed that the marginal effects of covariates on the response are constant over space. In practice, this assumption might often be questionable. In this article, we show how a Gaussian…

统计方法学 · 统计学 2020-11-13 Jakob A. Dambon , Fabio Sigrist , Reinhard Furrer

Spatially varying coefficient (SVC) models are a type of regression model for spatial data where covariate effects vary over space. If there are several covariates, a natural question is which covariates have a spatially varying effect and…

统计方法学 · 统计学 2021-02-12 Jakob A. Dambon , Fabio Sigrist , Reinhard Furrer

The United States Coast Guard is charged with the coordination of all search and rescue missions in maritime regions within the United States purview. Given the size of the Pacific Ocean and the limited resources available to respond to…

最优化与控制 · 数学 2019-08-27 Zachary T. Hornberger , Bruce A. Cox , Brian J. Lunday

Non-terminal events can represent a meaningful change in a patient's life. Thus, better understanding and predicting their occurrence can bring valuable information to individuals. In a context where longitudinal markers could inform these…

统计方法学 · 统计学 2025-01-16 Juliette Ortholand , Stanley Durrleman , Sophie Tezenas du Montcel

We develop a spatio-temporal model to forecast sensor output at five locations in North East England. The signal is described using coupled dynamic linear models, with spatial effects specified by a Gaussian process. Data streams are…

应用统计 · 统计学 2018-06-15 Yingying Lai , Andrew Golightly , Richard Boys

Spatial statistics is concerned with the analysis of data that have spatial locations associated with them, and those locations are used to model statistical dependence between the data. The spatial data are treated as a single realisation…

统计方法学 · 统计学 2022-02-09 Noel Cressie , Matthew Sainsbury-Dale , Andrew Zammit-Mangion

For a sensor network, a tractable spatially-dependent node deployment model is presented with the property that the density is inversely proportional to the sink distance. A stochastic model is formulated to examine message advancements…

概率论 · 数学 2015-03-13 H. Paul Keeler

We explore and illustrate the concept of ranked sparsity, a phenomenon that often occurs naturally in modeling applications when an expected disparity exists in the quality of information between different feature sets. Its presence can…

统计方法学 · 统计学 2022-01-28 Ryan A. Peterson , Joseph E. Cavanaugh

In spatio-temporal point pattern analysis, one of the main statistical objectives is to estimate the first-order intensity function, i.e., the expected number of points per unit area and unit time. This estimation is usually carried out…

统计方法学 · 统计学 2022-08-26 Jonatan A. González , Paula Moraga

Self-exciting spatio-temporal point process models predict the rate of events as a function of space, time, and the previous history of events. These models naturally capture triggering and clustering behavior, and have been widely used in…

统计方法学 · 统计学 2018-08-14 Alex Reinhart

A source traffic model for machine-to-machine communications is presented in this paper. We consider a model in which devices operate in a regular mode until they are triggered into an alarm mode by an alarm event. The positions of devices…

网络与互联网体系结构 · 计算机科学 2017-09-05 Henning Thomsen , Carles Navarro Manchón , Bernard Henri Fleury

Spatio-temporal point process (STPP) is a stochastic collection of events accompanied with time and space. Due to computational complexities, existing solutions for STPPs compromise with conditional independence between time and space,…

机器学习 · 计算机科学 2023-06-27 Yuan Yuan , Jingtao Ding , Chenyang Shao , Depeng Jin , Yong Li

In this paper, we study a smoothness regularization method for a varying coefficient model based on sparse and irregularly sampled functional data which is contaminated with some measurement errors. We estimate the one-dimensional…

统计方法学 · 统计学 2017-11-28 Behdad Mostafaiy

We model the unidentified aerial phenomena observed in France during the last 60 years as a spatial point pattern. We use some public information such as population density, rate of moisture or presence of airports to model the intensity of…

应用统计 · 统计学 2015-09-03 Thibault Laurent , Christine Thomas-Agnan , Michaël Vaillant

We consider stochastic motion planning in single-source single-destination robotic relay networks, under a cooperative beamforming framework. Assuming that the communication medium constitutes a spatiotemporal stochastic field, we propose a…

系统与控制 · 计算机科学 2016-03-22 Dionysios S. Kalogerias , Athina P. Petropulu