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There is increasing interest in modeling high-dimensional longitudinal outcomes in applications such as developmental neuroimaging research. Growth curve model offers a useful tool to capture both the mean growth pattern across individuals,…

统计方法学 · 统计学 2023-05-26 Lu Wang , Xiang Lyu , Zhengwu Zhang , Lexin Li

In this article we focus on dynamic network data which describe interactions among a fixed population through time. We model this data using the latent space framework, in which the probability of a connection forming is expressed as a…

统计方法学 · 统计学 2021-12-21 Kathryn Turnbull , Christopher Nemeth , Matthew Nunes , Tyler McCormick

We address the problem of predicting spatio-temporal processes with temporal patterns that vary across spatial regions, when data is obtained as a stream. That is, when the training dataset is augmented sequentially. Specifically, we…

机器学习 · 统计学 2018-06-25 Muhammad Osama , Dave Zachariah , Thomas B. Schön

We give a very short introduction to discrete and continuum models for the evolutionary and spatial dynamics of cancer through two case studies: a model for the evolutionary dynamics of cancer cells under cytotoxic therapy and a model for…

组织与器官 · 定量生物学 2019-11-07 Tommaso Lorenzi , Fiona R. Macfarlane , Chiara Villa

Many very large-scale systems are networks of cyber-physical systems in which humans and autonomous software agents cooperate. To make the cooperation safe for the humans involved, the systems have to follow protocols with rigid real-time…

软件工程 · 计算机科学 2024-10-21 Heinz Schmidt , Peter Herrmann , Maria Spichkova , James Harland , Ian Peake , Ergys Puka

We introduce a dynamical spatio-temporal model formalized as a recurrent neural network for forecasting time series of spatial processes, i.e. series of observations sharing temporal and spatial dependencies. The model learns these…

机器学习 · 计算机科学 2018-04-24 Ali Ziat , Edouard Delasalles , Ludovic Denoyer , Patrick Gallinari

During development, spatio-temporal patterns ranging from checkerboard to engulfing occur with precise proportions of the respective cell fates. Key developmental regulators are intracellular transcriptional interactions and intercellular…

生物物理 · 物理学 2022-11-15 Simon Schardt , Sabine C. Fischer

In the realm of large-scale spatiotemporal data, abrupt changes are commonly occurring across both spatial and temporal domains. This study aims to address the concurrent challenges of detecting change points and identifying spatial…

统计方法学 · 统计学 2025-05-05 Zerui Zhang , Xin Wang , Xin Zhang , Jing Zhang

Modeling how individuals evolve over time is a fundamental problem in the natural and social sciences. However, existing datasets are often cross-sectional with each individual observed only once, making it impossible to apply traditional…

Recent evidence suggests that nongenetic (epigenetic) mechanisms play an important role at all stages of cancer evolution. In many cancers, these mechanisms have been observed to induce dynamic switching between two or more cell states,…

定量方法 · 定量生物学 2023-06-16 Einar Bjarki Gunnarsson , Jasmine Foo , Kevin Leder

When drawing causal inferences about the effects of multiple treatments on clustered survival outcomes using observational data, we need to address implications of the multilevel data structure, multiple treatments, censoring and unmeasured…

统计方法学 · 统计学 2022-02-18 Liangyuan Hu , Jiayi Ji , Ronald D. Ennis , Joseph W. Hogan

In digital pathology, the spatial context of cells is important for cell classification, cancer diagnosis and prognosis. To model such complex cell context, however, is challenging. Cells form different mixtures, lineages, clusters and…

图像与视频处理 · 电气工程与系统科学 2023-04-06 Shahira Abousamra , Rajarsi Gupta , Tahsin Kurc , Dimitris Samaras , Joel Saltz , Chao Chen

In modelling time series data coming from different sources, frequencies can easily vary since some variable can be measured at higher frequencies, others, at lower frequencies. Given data measured over spatial units and at varying…

统计方法学 · 统计学 2025-03-05 Vladimir A. Malabanan , Joseph Ryan G. Lansangan , Erniel B. Barrios

Epidemiological investigations of regionally aggregated spatial data often involve detecting spatial health disparities among neighboring regions on a map of disease mortality or incidence rates. Analyzing such data introduces spatial…

统计方法学 · 统计学 2025-11-21 Kyle Lin Wu , Sudipto Banerjee

Self-organisation of individuals within large collectives occurs throughout biology. Mathematical models can help elucidate the individual-level mechanisms behind these dynamics, but analytical tractability often comes at the cost of…

The tumour microenvironment plays a fundamental role in understanding the development and progression of cancer. This paper proposes a novel spatial point process model that accounts for inhomogeneity and interaction to flexibly model a…

应用统计 · 统计学 2023-07-13 Jonatan A. González , Paula Moraga

The multivariate sequential ordinal model is investigated for use in the Bayesian analysis of spatio-temporal ordinal data. The sequential ordinal model likelihood is equivalent to a binary model conditional on unknown regression…

Unmeasured confounding can severely bias causal effect estimates from spatiotemporal observational data, especially when the confounders do not vary smoothly in time and space. In this work, we develop a method for addressing unmeasured…

统计方法学 · 统计学 2026-04-29 Jiaxi Wu , Alexander Franks

Recent advances in high-resolution experimental methods have highlighted the significance of cell signal pathway crosstalk and localised signalling activity in the development and disease of numerous biological systems. The investigation of…

动力系统 · 数学 2022-09-19 Joshua W. Moore , Trevor C. Dale , Thomas E. Woolley

Time-evolving perforated domains arise in many engineering and geoscientific applications, including reactive transport, particle deposition, and structural degradation in porous media. Accurately capturing the macroscopic behavior of such…

数值分析 · 数学 2025-06-27 Wei Xie , Viet Ha Hoang , Yin Yang , Yunqing Huang