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This paper proposes a novel graphical model, termed the spatial dependence graph model, which captures the global dependence structure of different events that occur randomly in space. In the spatial dependence graph model, the edge set is…

统计方法学 · 统计学 2016-07-26 Matthias Eckardt

This paper investigates the modeling of an important class of degradation data, which are collected from a spatial domain over time; for example, the surface quality degradation. Like many existing time-dependent stochastic degradation…

统计方法学 · 统计学 2017-12-29 Xiao Liu , Kyongmin Yeo , Jayant Kalagnanam

Several problems in neuroimaging and beyond require inference on the parameters of multi-task sparse hierarchical regression models. Examples include M/EEG inverse problems, neural encoding models for task-based fMRI analyses, and climate…

The objective of this paper is to provide a temporal dynamic model for resting state functional Magnetic Resonance Imaging (fMRI) trajectory to predict future brain images based on the given sequence. To this end, we came up with the model…

信号处理 · 电气工程与系统科学 2020-11-17 Zheyu Wen

Functional Magnetic Resonance Images acquired during resting-state provide information about the functional organization of the brain through measuring correlations between brain areas. Independent components analysis is the reference…

神经元与认知 · 定量生物学 2014-12-15 Alexandre Abraham , Elvis Dohmatob , Bertrand Thirion , Dimitris Samaras , Gael Varoquaux

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…

The Blood-Oxygen-Level-Dependent (BOLD) signal of resting-state fMRI (rs-fMRI) records the temporal dynamics of intrinsic functional networks in the brain. However, existing deep learning methods applied to rs-fMRI either neglect the…

机器学习 · 计算机科学 2021-06-30 Soham Gadgil , Qingyu Zhao , Adolf Pfefferbaum , Edith V. Sullivan , Ehsan Adeli , Kilian M. Pohl

This paper presents two case studies of data sets where the main inferential goal is to characterize time-varying patterns in model structure. Both of these examples are seen to be general cases of the so-called "partition problem," where…

应用统计 · 统计学 2011-11-03 Zesong Liu , Jesse Windle , James G. Scott

Neuroimaging is the growing area of neuroscience devoted to produce data with the goal of capturing processes and dynamics of the human brain. We consider the problem of inferring the brain connectivity network from time dependent…

统计方法学 · 统计学 2021-05-28 Saverio Ranciati , Alberto Roverato , Alessandra Luati

Using functional magnetic resonance imaging (fMRI) and deep learning to explore functional brain networks (FBNs) has attracted many researchers. However, most of these studies are still based on the temporal correlation between the sources…

神经元与认知 · 定量生物学 2022-11-07 Yiheng Liu , Enjie Ge , Ning Qiang , Tianming Liu , Bao Ge

Deep neural network models have become ubiquitous in recent years, and have been applied to nearly all areas of science, engineering, and industry. These models are particularly useful for data that have strong dependencies in space (e.g.,…

机器学习 · 统计学 2022-06-07 Christopher K. Wikle , Andrew Zammit-Mangion

There exists a correlation between geospatial activity temporal patterns and type of land use. A novel self-supervised approach is proposed to stratify landscape based on mobility activity time series. First, the time series signal is…

计算机视觉与模式识别 · 计算机科学 2024-01-18 Yi Cao , Swetava Ganguli , Vipul Pandey

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

We present a Bayesian approach for modeling multivariate, dependent functional data. To account for the three dominant structural features in the data--functional, time dependent, and multivariate components--we extend hierarchical dynamic…

统计方法学 · 统计学 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert

Alzheimer's disease (AD) is characterized by a sequence of pathological changes, which are commonly assessed in vivo using MRI and PET. Currently, the most approaches to analyze statistical associations between brain regions rely on Pearson…

神经元与认知 · 定量生物学 2020-03-30 Martin Dyrba , Reza Mohammadi , Michel J. Grothe , Thomas Kirste , Stefan J. Teipel

Lifetime data with spatial correlations are often collected for analysis in modern engineering, clinical, and medical applications. For such spatial lifetime data, statistical models usually account for the spatial dependence through…

统计方法学 · 统计学 2025-07-15 Yueyao Wang , Yili Hong , Laura Freeman , Xinwei Deng

We adapt structural complexity analysis to three-dimensional signals, with an emphasis on brain magnetic resonance imaging (MRI). This framework captures the multiscale organization of volumetric data by coarse-graining the signal at…

计算机视觉与模式识别 · 计算机科学 2026-01-27 Anzhe Cheng , Italo Ivo Lima Dias Pinto , Paul Bogdan

We present a holistic, topology-based visualization technique for spatial time series data based on an adaptation of Fuzzy Contour Trees. Common analysis approaches for time dependent scalar fields identify and track specific features. To…

人机交互 · 计算机科学 2021-07-28 Anna-Pia Lohfink , Frederike Gartzky , Florian Wetzels , Luisa Vollmer , Christoph Garth

Functional alterations in the relevant neural circuits occur from drug addiction over a certain period. And these significant alterations are also revealed by analyzing fMRI. However, because of fMRI's high dimensionality and poor…

图像与视频处理 · 电气工程与系统科学 2022-07-12 Changwei Gong , Changhong Jing , Junren Pan , Shuqiang Wang

The covariance structure of multivariate functional data can be highly complex, especially if the multivariate dimension is large, making extensions of statistical methods for standard multivariate data to the functional data setting…

统计方法学 · 统计学 2022-02-04 Javier Zapata , Sang-Yun Oh , Alexander Petersen