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Neuronal brain activity in response to repeated stimuli can be perceived using functional magnetic resonance imaging (fMRI). In this paper, we develop a statistical model for fMRI data that estimates both the associated haemodynamic…

Applications · Statistics 2015-01-26 Christopher J. Brignell , William J. Browne , Ian L. Dryden , Susan T. Francis

Functional magnetic resonance imaging (fMRI) data provides information concerning activity in the brain and in particular the interactions between brain regions. Resting state fMRI data is widely used for inferring connectivities in the…

Applications · Statistics 2019-03-04 Christina Stoehr , John A D Aston , Claudia Kirch

Functional Magnetic Resonance Imaging (fMRI) is a primary modality for studying brain activity. Modeling spatial dependence of imaging data at different scales is one of the main challenges of contemporary neuroimaging, and it could allow…

Applications · Statistics 2016-06-16 Stefano Castruccio , Hernando Ombao , Marc G. Genton

Aggregating multi-subject functional magnetic resonance imaging (fMRI) data is indispensable for generating valid and general inferences from patterns distributed across human brains. The disparities in anatomical structures and functional…

Machine Learning · Computer Science 2019-11-20 Weida Li , Mingxia Liu , Fang Chen , Daoqiang Zhang

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…

Signal Processing · Electrical Eng. & Systems 2022-10-18 Paris A. Karakasis , Athanasios P. Liavas , Nicholas D. Sidiropoulos , Panagiotis G. Simos , Efrosini Papadaki

Statistical modeling of fMRI data is challenging as the data are both spatially and temporally correlated. Spatially, measurements are taken at thousands of contiguous regions, called voxels, and temporally measurements are taken at…

Computation · Statistics 2017-10-05 Ming Teng , Farouk S. Nathoo , Timothy D. Johnson

Functional magnetic resonance imaging (fMRI) is widely used for studying and diagnosing brain disorders, with functional connectivity (FC) matrices providing powerful representations of large-scale neural interactions. However, existing…

Tissues and Organs · Quantitative Biology 2026-04-17 Qianyu Chen , Shujian Yu

We propose a voxel-wise general linear model with autoregressive noise and heteroscedastic noise innovations (GLMH) for analyzing functional magnetic resonance imaging (fMRI) data. The model is analyzed from a Bayesian perspective and has…

Applications · Statistics 2017-05-31 Anders Eklund , Martin A. Lindquist , Mattias Villani

Functional magnetic resonance imaging (fMRI) is a neuroimaging technique known for its ability to capture brain activity non-invasively and at fine spatial resolution (2-3mm). Cortical surface fMRI (cs-fMRI) is a recent development of fMRI…

Applications · Statistics 2023-12-29 Huy Dang , Marzia Cremona , Nicole Lazar , Francesca Chiaromonte

Human brains exhibit highly organized multiscale neurophysiological dynamics. Understanding those dynamic changes and the neuronal networks involved is critical for understanding how the brain functions in health and disease. Functional…

Neurons and Cognition · Quantitative Biology 2024-09-09 Manuel Morante , Kristian Frølich , Naveed ur Rehman

In extracting time series data from various sources, it is inevitable to compile variables measured at varying frequencies as this is often dependent on the source. Modeling from these data can be facilitated by aggregating high frequency…

Methodology · Statistics 2025-03-05 Jetrei Benedick R. Benito , Joseph Ryan G. Lansangan , Erniel B. Barrios

Heteroskedasticity is a common feature of financial time series and is commonly addressed in the model building process through the use of ARCH and GARCH processes. More recently multivariate variants of these processes have been in the…

Methodology · Statistics 2015-12-18 Alexander Aue , Lajos Horvath , Daniel Pellatt

Scaling temporal dynamics in functional MRI (fMRI) signals have been evidenced for a decade as intrinsic characteristics of ongoing brain activity (Zarahn et al., 1997). Recently, scaling properties were shown to fluctuate across brain…

Statistics Theory · Mathematics 2013-08-21 P. Ciuciu , G. Varoquaux , P. Abry , S. Sadaghiani , A. Kleinschmidt

Functional magnetic resonance imaging or functional MRI (fMRI) is a non-invasive way to assess brain activity by detecting changes associated with blood flow. In this work, we propose a full Bayesian procedure to analyze fMRI data for…

In the event-related functional magnetic resonance imaging (fMRI) data analysis, there is an extensive interest in accurately and robustly estimating the hemodynamic response function (HRF) and its associated statistics (e.g., the magnitude…

Applications · Statistics 2013-12-23 Jiaping Wang , Hongtu Zhu , Jianqing Fan , Kelly Giovanello , Weili Lin

With the wide adoption of functional magnetic resonance imaging (fMRI) by cognitive neuroscience researchers, large volumes of brain imaging data have been accumulated in recent years. Aggregating these data to derive scientific insights…

Applications · Statistics 2020-06-01 Ming Bo Cai , Michael Shvartsman , Anqi Wu , Hejia Zhang , Xia Zhu

Functional magnetic resonance imaging (fMRI) aims to locate activated regions in human brains when specific tasks are performed. The conventional tool for analyzing fMRI data applies some variant of the linear model, which is restrictive in…

Statistics Theory · Mathematics 2008-08-08 Chunming Zhang , Tao Yu

Neuroimaging-based prediction methods for intelligence and cognitive abilities have seen a rapid development in literature. Among different neuroimaging modalities, prediction based on functional connectivity (FC) has shown great promise.…

Neurons and Cognition · Quantitative Biology 2023-07-20 Yang Li , Xin Ma , Raj Sunderraman , Shihao Ji , Suprateek Kundu

Functional magnetic resonance imaging (fMRI) enables non-invasive brain disorder classification by capturing blood-oxygen-level-dependent (BOLD) signals. However, most existing methods rely on functional connectivity (FC) via Pearson…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Guoqi Yu , Xiaowei Hu , Angelica I. Aviles-Rivero , Anqi Qiu , Shujun Wang

Functional magnetic resonance imaging (fMRI) technology is popularly used in many fields for studying how the brain reacts to mental stimuli. The identification of optimal fMRI experimental designs is crucial for rendering precise…

Statistics Theory · Mathematics 2015-10-30 Ching-Shui Cheng , Ming-Hung Kao
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