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Many modern spatial models express the stochastic variation component as a basis expansion with random coefficients. Low rank models, approximate spectral decompositions, multiresolution representations, stochastic partial differential…

统计方法学 · 统计学 2019-02-20 Mitchell Krock , William Kleiber , Stephen Becker

We consider spatially dependent functional data collected under a geostatistics setting, where locations are sampled from a spatial point process. The functional response is the sum of a spatially dependent functional effect and a spatially…

统计方法学 · 统计学 2021-06-18 Haozhe Zhang , Yehua Li

Magnetic resonance imaging (MRI) plays a vital role in the scientific investigation and clinical management of multiple sclerosis. Analyses of binary multiple sclerosis lesion maps are typically "mass univariate" and conducted with standard…

Fine particulate matter (PM$_{2.5}$) has become a great concern worldwide due to its adverse health effects. PM$_{2.5}$ concentrations typically exhibit complex spatio-temporal variations. Both the mean and the spatio-temporal dependence…

统计方法学 · 统计学 2022-02-25 Ghulam A. Qadir , Ying Sun

Functional magnetic resonance imaging (fMRI) is one of the most popular methods for studying the human brain. Task-related fMRI data processing aims to determine which brain areas are activated when a specific task is performed and is…

信号处理 · 电气工程与系统科学 2022-10-18 Paris A. Karakasis , Athanasios P. Liavas , Nicholas D. Sidiropoulos , Panagiotis G. Simos , Efrosini Papadaki

In neuroscience, understanding inter-individual differences has recently emerged as a major challenge, for which functional magnetic resonance imaging (fMRI) has proven invaluable. For this, neuroscientists rely on basic methods such as…

计算机视觉与模式识别 · 计算机科学 2020-04-07 Akrem Sellami , François-Xavier Dupé , Bastien Cagna , Hachem Kadri , Stéphane Ayache , Thierry Artières , Sylvain Takerkart

Compositional data, such as regional shares of economic sectors or property transactions, are central to understanding structural change in economic systems across space and time. This paper introduces a spatiotemporal multivariate…

应用统计 · 统计学 2026-03-16 Matthias Eckardt , Philipp Otto

Spatiotemporal gene expression data of the human brain offer insights on the spa- tial and temporal patterns of gene regulation during brain development. Most existing methods for analyzing these data consider spatial and temporal profiles…

统计方法学 · 统计学 2017-02-27 Tianqi Liu , Ming Yuan , Hongyu Zhao

As with the advancement of geographical information systems, non-Gaussian spatial data sets are getting larger and more diverse. This study develops a general framework for fast and flexible non-Gaussian regression, especially for…

统计方法学 · 统计学 2021-06-23 Daisuke Murakami , Mami Kajita , Seiji Kajita , Tomoko Matsui

Mining natural associations from high-dimensional spatiotemporal signals plays an important role in various fields including biology, climatology, and financial analysis. However, most existing works have mainly studied time-independent…

社会与信息网络 · 计算机科学 2020-12-08 Yueliang Liu , Wenbin Guo , Kangyong You , Lei Zhao , Tao Peng , Wenbo Wang

Outstanding achievements of graph neural networks for spatiotemporal time series analysis show that relational constraints introduce an effective inductive bias into neural forecasting architectures. Often, however, the relational…

机器学习 · 计算机科学 2023-08-03 Andrea Cini , Daniele Zambon , Cesare Alippi

We develop a Bayesian graphical modeling framework for functional data for correlated multivariate random variables observed over a continuous domain. Our method leads to graphical Markov models for functional data which allows the graphs…

统计方法学 · 统计学 2021-08-12 Lin Zhang , Veera Baladandayuthapani , Quinton Neville , Karina Quevedo , Jeffrey S. Morris

Geostatistical modeling for continuous point-referenced data has been extensively applied to neuroimaging because it produces efficient and valid statistical inference. However, diffusion tensor imaging (DTI), a neuroimaging characterizing…

Recent crash frequency studies incorporate spatiotemporal correlations, but these studies have two key limitations: i) none of these studies accounts for temporal variation in model parameters; and ii) Gibbs sampler suffers from convergence…

应用统计 · 统计学 2020-08-11 Prasad Buddhavarapu , Prateek Bansal , Jorge A. Prozzi

We consider the problem of analyzing multivariate time series collected on multiple subjects, with the goal of identifying groups of subjects exhibiting similar trends in their recorded measurements over time as well as time-varying groups…

Graph neural networks (GNNs) have been successfully applied to early mild cognitive impairment (EMCI) detection, with the usage of elaborately designed features constructed from blood oxygen level-dependent (BOLD) time series. However, few…

机器学习 · 计算机科学 2022-11-14 Yunpeng Zhao , Fugen Zhou , Bin Guo , Bo Liu

Generating realistic images to accurately predict changes in the structure of brain MRI is a crucial tool for clinicians. Such applications help assess patients' outcomes and analyze how diseases progress at the individual level. However,…

图像与视频处理 · 电气工程与系统科学 2024-06-19 Mattia Litrico , Francesco Guarnera , Valerio Giuffirda , Daniele Ravì , Sebastiano Battiato

A central question in neuroscience is how self-organizing dynamic interactions in the brain emerge on their relatively static structural backbone. Due to the complexity of spatial and temporal dependencies between different brain areas,…

Understanding the real-time evolution of many-electron quantum systems is essential for studying dynamical properties in condensed matter, quantum chemistry, and complex materials, yet it poses a significant theoretical and computational…

强关联电子 · 物理学 2024-11-07 Jannes Nys , Gabriel Pescia , Alessandro Sinibaldi , Giuseppe Carleo

Functional magnetic resonance imaging produces high dimensional data, with a less then ideal number of labelled samples for brain decoding tasks (predicting brain states). In this study, we propose a new deep temporal convolutional neural…

机器学习 · 计算机科学 2015-01-13 Orhan Firat , Emre Aksan , Ilke Oztekin , Fatos T. Yarman Vural