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Motivated by the emerging area of graph signal processing (GSP), we introduce a novel method to draw inference from spatiotemporal signals. Data acquisition in different locations over time is common in sensor networks, for diverse…

信号处理 · 电气工程与系统科学 2020-10-28 Nafiseh Ghoroghchian , Stark C. Draper , Roman Genov

We introduce a Bayesian Gaussian process latent variable model that explicitly captures spatial correlations in data using a parameterized spatial kernel and leveraging structure-exploiting algebra on the model covariance matrices for…

机器学习 · 统计学 2018-05-23 Steven Atkinson , Nicholas Zabaras

In this work we introduce a time- and memory-efficient method for structured prediction that couples neuron decisions across both space at time. We show that we are able to perform exact and efficient inference on a densely connected…

计算机视觉与模式识别 · 计算机科学 2018-07-10 Siddhartha Chandra , Camille Couprie , Iasonas Kokkinos

Functional neuroimaging can measure the brain?s response to an external stimulus. It is used to perform brain mapping: identifying from these observations the brain regions involved. This problem can be cast into a linear supervised…

机器学习 · 计算机科学 2012-07-03 Gael Varoquaux , Alexandre Gramfort , Bertrand Thirion

Existing Bayesian spatial priors for functional magnetic resonance imaging (fMRI) data correspond to stationary isotropic smoothing filters that may oversmooth at anatomical boundaries. We propose two anatomically informed Bayesian spatial…

统计方法学 · 统计学 2019-10-21 David Abramian , Per Sidén , Hans Knutsson , Mattias Villani , Anders Eklund

To study the impact of climate variables on morbidity of some diseases in Mexico, we propose a spatio-temporal varying coefficients regression model. For that we introduce a new spatio-temporal dependent process prior, in a Bayesian…

应用统计 · 统计学 2019-12-02 Luis E. Nieto-Barajas

Motivated by problems from neuroimaging in which existing approaches make use of "mass univariate" analysis which neglects spatial structure entirely, but the full joint modelling of all quantities of interest is computationally infeasible,…

统计方法学 · 统计学 2022-04-19 Denishrouf Thesingarajah , Adam M. Johansen

A large body of literature has shown the substantial inter-regional functional connectivity in the mammal brain. One important property remaining un-studied is the cross-time interareal connection. This paper serves to provide a tool to…

神经元与认知 · 定量生物学 2021-09-06 Ze Wang

Temporal graphs model relationships among entities over time. Recent studies applied temporal graphs to abstract complex systems such as continuous communication among participants of social networks. Often, the amount of data is larger…

数据结构与算法 · 计算机科学 2022-04-27 Luiz F. A. Brito , Bruno A. N. Travençolo , Marcelo K. Albertini

Dynamical phenomena such as infectious diseases are often investigated by following up subjects longitudinally, thus generating time to event data. The spatial aspect of such data is also of primordial importance, as many infectious…

统计方法学 · 统计学 2020-10-13 Ajmal Oodally , Estelle Kuhn , Klara Goethals , Luc Duchateau

This paper proposes a flexible framework for inferring large-scale time-varying and time-lagged correlation networks from multivariate or high-dimensional non-stationary time series with piecewise smooth trends. Built on a novel and unified…

统计方法学 · 统计学 2023-02-13 Lujia Bai , Weichi Wu

We propose NonStGM, a general nonparametric graphical modeling framework for studying dynamic associations among the components of a nonstationary multivariate time series. It builds on the framework of Gaussian Graphical Models (GGM) and…

统计理论 · 数学 2022-03-22 Sumanta Basu , Suhasini Subba Rao

The functioning of an organ such as the brain emerges from interactions between its constituent parts. Further, this interaction is not immutable in time but rather unfolds in a succession of patterns, thereby allowing the brain to adapt to…

神经元与认知 · 定量生物学 2021-06-02 Emmanuelle Tognoli , Daniela Benites , J. A. Scott Kelso

Identifying objective neuroimaging biomarkers to forecast Alzheimer's disease (AD) progression is crucial for timely intervention. However, this task remains challenging due to the complex dysfunctions in the spatio-temporal characteristics…

Task functional magnetic resonance imaging (fMRI) is a type of neuroimaging data used to identify areas of the brain that activate during specific tasks or stimuli. These data are conventionally modeled using a massive univariate approach…

统计方法学 · 统计学 2022-11-04 Daniel A. Spencer , David Bolin , Amanda F. Mejia

Alzheimer's disease (AD) is characterized by complex and largely unknown progression dynamics affecting the brain's morphology. Although the disease evolution spans decades, to date we cannot rely on long-term data to model the pathological…

应用统计 · 统计学 2019-08-14 Clement Abi Nader , Nicholas Ayache , Philippe Robert , Marco Lorenzi

Spatial-temporal data collected across different geographic locations often suffer from missing values, posing challenges to data analysis. Existing methods primarily leverage fixed spatial graphs to impute missing values, which implicitly…

机器学习 · 计算机科学 2025-01-07 Xinyu Yang , Yu Sun , Xinyang Chen , Ying Zhang , Xiaojie Yuan

Graph neural networks (GNNs) have demonstrated success in learning representations of brain graphs derived from functional magnetic resonance imaging (fMRI) data. However, existing GNN methods assume brain graphs are static over time and…

机器学习 · 计算机科学 2023-07-11 Alexander Campbell , Antonio Giuliano Zippo , Luca Passamonti , Nicola Toschi , Pietro Lio

Graph Neural Networks have gained huge interest in the past few years. These powerful algorithms expanded deep learning models to non-Euclidean space and were able to achieve state of art performance in various applications including…

机器学习 · 计算机科学 2023-02-14 Zahraa Al Sahili , Mariette Awad

This paper introduces a matrix-variate regression model for analyzing multivariate data observed across spatial locations and over time. The model's design incorporates a mean structure that links covariates to the response matrix and a…

统计方法学 · 统计学 2025-11-07 Carlos A. Ribeiro Diniz , Victor E. Lachos Olivares , Victor H. Lachos Davila