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Time-series anomaly detection deals with the problem of detecting anomalous timesteps by learning normality from the sequence of observations. However, the concept of normality evolves over time, leading to a "new normal problem", where the…

机器学习 · 计算机科学 2024-01-23 Dongmin Kim , Sunghyun Park , Jaegul Choo

Irregular bone remodeling is associated with a number of bone diseases such as osteoporosis and multiple myeloma. Computational and mathematical modeling can aid in therapy and treatment as well as understanding fundamental biology.…

定量方法 · 定量生物学 2023-02-14 Jason M. Graham , Bruce P. Ayati , Prem S. Ramakrishnan , James A. Martin

Contemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements. In this work, we extend a recent model by Vaziry, Kolokolnikov, and Kevrekidis [Royal…

种群与进化 · 定量生物学 2024-10-01 Maryam Ahmadpoortorkamani , Alexei Cheviakov

Several methods have been proposed in the spatial statistics literature for the analysis of big data sets in continuous domains. However, new methods for analyzing high-dimensional areal data are still scarce. Here, we propose a scalable…

统计方法学 · 统计学 2021-02-26 E. Orozco-Acosta , A. Adin , M. D. Ugarte

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

The prevalence of dementia is set to explode throughout the 21st century. This trend has already started in developed countries and will continue to place heavy pressures on both public health and social care services across the world. No…

应用统计 · 统计学 2022-04-13 Christopher Drowley , Luke Burns

Spatio-temporal interaction is inherent to cases of infectious diseases and occurrences of earthquakes, whereas the spread of other events, such as cancer or crime, is less evident. Statistical significance tests of space-time clustering…

统计方法学 · 统计学 2016-05-03 Sebastian Meyer , Ingeborg Warnke , Wulf Rössler , Leonhard Held

In this work we propose a novel approach for modeling spatio-temporal data characterized by group structures. In particular, we extend classical mixed effect regression models by introducing a space-time nonparametric component, regularized…

统计方法学 · 统计学 2025-11-18 Marco F. De Sanctis , Eleonora Arnone , Francesca Ieva , Laura M. Sangalli

In spatial regression models, collinearity between covariates and spatial effects can lead to significant bias in effect estimates. This problem, known as spatial confounding, is encountered modelling forestry data to assess the effect of…

统计方法学 · 统计学 2023-10-02 Emiko Dupont , Simon N. Wood , Nicole Augustin

Spatial extent is a complicating factor in mathematical biology. The possibility that an action at point A cannot immediately affect what happens at point B creates the opportunity for spatial nonuniformity. This nonuniformity must change…

元胞自动机与格子气 · 物理学 2014-01-03 Blake C. Stacey , Andreas Gros , Yaneer Bar-Yam

Exploring the spatio-temporal variations of COVID-19 transmission and its potential determinants could provide a deeper understanding of the dynamics of disease spread. This study aims to investigate the spatio-temporal spread of COVID-19…

应用统计 · 统计学 2023-08-21 Xueqing Yin , John M. Aiken , Richard Harris , Jonathan L. Bamber

In recent years, disease mapping studies have become a routine application within geographical epidemiology and are typically analysed within a Bayesian hierarchical model formulation. A variety of model formulations for the latent level…

统计方法学 · 统计学 2016-01-07 Andrea Riebler , Sigrunn H. Sørbye , Daniel Simpson , Håvard Rue

The slow flow of amorphous solids exhibits striking heterogeneities: swift localised particle rearrangements take place in the midst of a more or less homogeneously deforming medium. Recently, experimental as well as numerical work has…

软凝聚态物质 · 物理学 2014-03-04 Alexandre Nicolas , Joerg Rottler , Jean-Louis Barrat

The objective of the present paper is to use the well known Ross-Macdonald models as a prototype, incorporating spatial movements, identifying different times scales and proving a singular perturbation result using a system of local and…

偏微分方程分析 · 数学 2023-07-19 Marcone C. Pereira , Sergio Oliva , Larissa M. Sartori

This paper proposes a physical-statistical modeling approach for spatio-temporal data arising from a class of stochastic convection-diffusion processes. Such processes are widely found in scientific and engineering applications where…

应用统计 · 统计学 2020-08-07 Xiao Liu , Kyongmin Yeo , Siyuan Lu

In modeling spatial processes, a second-order stationarity assumption is often made. However, for spatial data observed on a vast domain, the covariance function often varies over space, leading to a heterogeneous spatial dependence…

统计方法学 · 统计学 2021-02-09 Ghulam A. Qadir , Ying Sun , Sebastian Kurtek

We analyze a varying-coefficient dynamic spatial autoregressive model with spatial fixed effects. One salient feature of the model is the incorporation of multiple spatial weight matrices through their linear combinations with varying…

统计方法学 · 统计学 2025-05-12 Zetai Cen , Yudong Chen , Clifford Lam

Disease outbreaks, such as those of Severe Acute Respiratory Syndrome in 2003 and the 2009 pandemic A(H1N1) influenza, have highlighted the potential for airborne transmission in indoor environments. Respirable pathogen-carrying droplets…

物理与社会 · 物理学 2012-01-10 M. Robinson , N. I. Stilianakis , Y. Drossinos

Spatial scan statistics are well known and widely used methods for the detection of spatial clusters of events. In the field of spatial analysis of time-to-event data, several models of scan statistics have been proposed. However, these…

统计方法学 · 统计学 2022-09-02 Camille Frévent , Mohamed-Salem Ahmed , Sophie Dabo-Niang , Michaël Genin

We study the problem of modeling and inference for spatio-temporal count processes. Our approach uses parsimonious parameterisations of multivariate autoregressive count time series models, including possible regression on covariates. We…

统计方法学 · 统计学 2024-11-14 Steffen Maletz , Konstantinos Fokianos , Roland Fried