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In this paper, we introduce a new spatial model that incorporates heteroscedastic variance depending on neighboring locations. The proposed process is regarded as the spatial equivalent to the temporal autoregressive conditional…

统计理论 · 数学 2020-10-20 Philipp Otto , Wolfgang Schmid , Robert Garthoff

A novel predictive modeling framework for the spread of infectious diseases using high dimensional partial differential equations is developed and implemented. A scalar function representing the infected population is defined on a…

种群与进化 · 定量生物学 2020-07-06 Sashikumaar Ganesan , Deepak Subramani

Improving health in the most disadvantaged populations requires reliable estimates of health and demographic indicators to inform policy and interventions. Low- and middle-income countries with the largest burden of disease and disability…

统计方法学 · 统计学 2025-11-21 Austin E Schumacher , Jon Wakefield

The Bayesian analysis of infectious disease surveillance data from multiple locations typically involves building and fitting a spatio-temporal model of how the disease spreads in the structured population. Here we present new generally…

统计方法学 · 统计学 2025-03-04 Matthew Adeoye , Xavier Didelot , Simon EF Spencer

The Integrated Nested Laplace Approximation (INLA) is a convenient way to obtain approximations to the posterior marginals for parameters in Bayesian hierarchical models when the latent effects can be expressed as a Gaussian Markov Random…

统计计算 · 统计学 2017-02-14 Virgilio Gómez-Rubio , Francisco Palmí-Perales

Spatio-temporal areal data can be seen as a collection of time series which are spatially correlated according to a specific neighboring structure. Incorporating the temporal and spatial dimension into a statistical model poses challenges…

Predicting relative risk (RR) of spatial clusters is a complex task in public health that can be achieved through various statistical and machine-learning methods for different time intervals. However, high-resolution longitudinal data is…

统计方法学 · 统计学 2025-12-23 Lyza Iamrache , Kamel Rekab , Majid Bani-Yagoub , Julia Pluta , Abdelghani Mehailia

Prediction of survival for cancer patients is an open area of research. However, many of these studies focus on datasets with a large number of patients. We present a novel method that is specifically designed to address the challenge of…

机器学习 · 计算机科学 2015-09-30 Hamid Reza Hassanzadeh , John H. Phan , May D. Wang

In image segmentation, there is often more than one plausible solution for a given input. In medical imaging, for example, experts will often disagree about the exact location of object boundaries. Estimating this inherent uncertainty and…

Disease maps are an important tool in cancer epidemiology used for the analysis of geographical variations in disease rates and the investigation of environmental risk factors underlying spatial patterns. Cancer maps help epidemiologists…

应用统计 · 统计学 2020-12-08 Leiwen Gao , Sudipto Banerjee , Abhirup Datta

With the rise in popularity of digital Atlases to communicate spatial variation, there is an increasing need for robust small-area estimates. However, current small-area estimation methods suffer from various modeling problems when data are…

统计方法学 · 统计学 2023-12-06 James Hogg , Jessica Cameron , Susanna Cramb , Peter Baade , Kerrie Mengersen

Multicolor cell spatio-temporal image data have become important to investigate organ development and regeneration, malignant growth or immune responses by tracking different cell types both in vivo and in vitro. Statistical modeling of…

统计方法学 · 统计学 2018-04-11 Puxue Qiao , Christina Mølck , Davide Ferrari , Frédéric Hollande

In this paper, we propose a novel Spatial Balance Attention block for spatiotemporal forecasting. To strike a balance between obeying spatial proximity and capturing global correlation, we partition the spatial graph into a set of subgraphs…

机器学习 · 计算机科学 2025-09-24 Hongyi Chen , Xiucheng Li , Xinyang Chen , Jing Li , Kehai Chen , Liqiang Nie

Joint models for longitudinal and time-to-event data have seen many developments in recent years. Though spatial joint models are still rare and the traditional proportional hazards formulation of the time-to-event part of the model is…

统计方法学 · 统计学 2024-06-25 Anja Rappl , Thomas Kneib , Stefan Lang , Elisabeth Bergherr

Understanding the spatiotemporal dynamics of disease progression in relation to transcriptomic profiles provides key insights into complex conditions such as Alzheimer disease. To enable such investigations, STARmap PLUS technology offers…

应用统计 · 统计学 2026-04-28 Zitian Wu , Susmita Datta , Arkaprava Roy

This paper presents a novel method for introducing time into discrete and continuous spatial representations used in mobile robotics, by modelling long-term, pseudo-periodic variations caused by human activities. Unlike previous approaches,…

机器人学 · 计算机科学 2026-03-16 Tomas Krajnik , Tomas Vintr , Sergi Molina , Jaime P. Fentanes , Grzegorz Cielniak , Tom Duckett

Segmentation of Multiple Sclerosis (MS) lesions in longitudinal brain MR scans is performed for monitoring the progression of MS lesions. We hypothesize that the spatio-temporal cues in longitudinal data can aid the segmentation algorithm.…

图像与视频处理 · 电气工程与系统科学 2020-09-29 Stefan Denner , Ashkan Khakzar , Moiz Sajid , Mahdi Saleh , Ziga Spiclin , Seong Tae Kim , Nassir Navab

High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

统计方法学 · 统计学 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

Technological developments and open data policies have made large, global environmental datasets accessible to everyone. For analysing such datasets, including spatiotemporal correlations using traditional models based on Gaussian processes…

统计计算 · 统计学 2020-07-01 Marius Appel , Edzer Pebesma

There is an increasing focus on reducing inequalities in health outcomes in developing countries. Subnational variation is of particular interest, with geographic data used to understand the spatial risk of detrimental outcomes and to…

统计方法学 · 统计学 2020-12-22 Neal Marquez , Jon Wakefield