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Empirical modelling often aims for the simplest model consistent with the data. A new technique is presented which quantifies the consistency of the model dynamics as a function of location in state space. As is well-known, traditional…

混沌动力学 · 物理学 2009-11-10 Patrick E. McSharry , Leonard A. Smith

In this work we explore the temporal dynamics of spatial heterogeneity during the process of tumorigenesis from healthy tissue. We utilize a spatial stochastic process model of mutation accumulation and clonal expansion in a structured…

种群与进化 · 定量生物学 2015-11-03 K. Storey , M. D. Ryser , K. Leder , J. Foo

This paper is concerned with the estimation of time-varying networks for high-dimensional nonstationary time series. Two types of dynamic behaviors are considered: structural breaks (i.e., abrupt change points) and smooth changes. To…

统计理论 · 数学 2020-02-19 Mengyu Xu , Xiaohui Chen , Wei Biao Wu

The characteristics and determinants of health and disease are often organised in space, reflecting our spatially extended nature. Understanding the influence of such factors requires models capable of capturing spatial relations. Though a…

Spatio-temporal change of support methods are designed for statistical analysis on spatial and temporal domains which can differ from those of the observed data. Previous work introduced a parsimonious class of Bayesian hierarchical…

统计计算 · 统计学 2024-01-19 Andrew M. Raim , Scott H. Holan , Jonathan R. Bradley , Christopher K. Wikle

The Mat\'ern covariance model is ubiquitous in spatial modelling, but there is no default choice for spatio-temporal modelling. In this paper, we consider the recently proposed ``diffusion-based'' extension of the spatial Mat\'ern…

统计方法学 · 统计学 2026-04-30 S. Knutsen Furset , Geir-Arne Fuglstad , Espen R. Jakobsen

In this work we propose a novel space-dependent multiscale model for the spread of infectious diseases in a two-dimensional spatial context on realistic geographical scenarios. The model couples a system of kinetic transport equations…

数值分析 · 数学 2020-12-21 Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi

Incipient slip detection provides critical feedback for robotic grasping and manipulation tasks. However, maintaining its adaptability under diverse object properties and complex working conditions remains challenging. This article…

机器人学 · 计算机科学 2025-02-25 Mingxuan Li , Lunwei Zhang , Qiyin Huang , Tiemin Li , Yao Jiang

We propose a novel sparse spatiotemporal dynamic generalized linear model for efficient inference and prediction of bicycle count data. Assuming Poisson distributed counts with spacetime-varying rates, we model the log-rate using…

Some quantities in the reaction-diffusion models from cellular biology or ecology depend on the spatial average of density functions instead of local density functions. We show that such nonlocal spatial average can induce instability of…

偏微分方程分析 · 数学 2020-02-03 Qingyan Shi , Junping Shi , Yongli Song

Longitudinal data analysis is fundamental for understanding dynamic processes in biomedical and social sciences. Although varying coefficient models (VCMs) provide a flexible framework by allowing covariate effects to evolve over time,…

统计方法学 · 统计学 2026-03-10 Yu Lu , Tianni Zhang , Yuyao Wang , Mengfei Ran

We develop Bayesian nonparametric models for spatially indexed data of mixed type. Our work is motivated by challenges that occur in environmental epidemiology, where the usual presence of several confounding variables that exhibit complex…

统计方法学 · 统计学 2014-10-17 Georgios Papageorgiou , Sylvia Richardson , Nicky Best

Clinical investigations of anatomy's structural changes over time could greatly benefit from population-level quantification of shape, or spatiotemporal statistic shape modeling (SSM). Such a tool enables characterizing patient organ cycles…

机器学习 · 计算机科学 2022-09-08 Jadie Adams , Nawazish Khan , Alan Morris , Shireen Elhabian

Spatial self-organization emerges in distributed systems exhibiting local interactions when nonlinearities and the appropriate propagation of signals are at work. These kinds of phenomena can be modeled with different frameworks, typically…

细胞行为 · 定量生物学 2016-11-23 Adriano Bonforti , Salva Duran-Nebreda , Raul Montañez , Ricard Solé

Methods that address data shifts usually assume full access to multiple datasets. In the healthcare domain, however, privacy-preserving regulations as well as commercial interests limit data availability and, as a result, researchers can…

机器学习 · 统计学 2022-05-03 Tal El-Hay , Chen Yanover

The last decade has seen an explosion in data sources available for the monitoring and prediction of environmental phenomena. While several inferential methods have been developed that make predictions on the underlying process by combining…

统计方法学 · 统计学 2023-03-06 Eun-Hye Yoo , Andrew Zammit-Mangion , Michael G. Chipeta

This paper explores the estimation of a dynamic spatiotemporal autoregressive conditional heteroscedasticity (ARCH) model. The log-volatility term in this model can depend on (i) the spatial lag of the log-squared outcome variable, (ii) the…

统计方法学 · 统计学 2023-12-12 Philipp Otto , Osman Doğan , Süleyman Taşpınar

Environmental exposures, such as air pollution and extreme temperatures, have complex effects on human health. These effects are often characterized by non-linear exposure-lag-response relationships and delayed impacts over time. Accurately…

统计方法学 · 统计学 2025-12-02 Álvaro Briz-Redón , Ana Corberán-Vallet , Adina Iftimi , Carmen Íñiguez

Spatial documentation is exponentially increasing given the availability of Big IoT Data, enabled by the devices miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dependence…

统计方法学 · 统计学 2020-10-01 Francisco Louzada , Diego C. Nascimento , Osafu Augustine Egbon

To optimize mobile health interventions and advance domain knowledge on intervention design, it is critical to understand how the intervention effect varies over time and with contextual information. This study aims to assess how a push…

应用统计 · 统计学 2024-10-22 Jiaxin Yu , Tianchen Qian