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Multivariate functional data arise in a wide range of applications. One fundamental task is to understand the causal relationships among these functional objects of interest, which has not yet been fully explored. In this article, we…

Methodology · Statistics 2022-10-25 Fangting Zhou , Kejun He , Kunbo Wang , Yanxun Xu , Yang Ni

Complex functional brain network analyses have exploded over the last eight years, gaining traction due to their profound clinical implications. The application of network science (an interdisciplinary offshoot of graph theory) has…

Methodology · Statistics 2013-10-28 Sean L. Simpson , F. DuBois Bowman , Paul J. Laurienti

Brain connectomics is a developing field in neurosciences which strives to understand cognitive processes and psychiatric diseases through the analysis of interactions between brain regions. However, in the high-dimensional, low-sample, and…

Applications · Statistics 2019-11-15 Claire Donnat , Leonardo Tozzi , Susan Holmes

This paper asks whether integrating multimodal EEG and fMRI data offers a better characterisation of functional brain architectures than either modality alone. This evaluation rests upon a dynamic causal model that generates both EEG and…

Quantitative Methods · Quantitative Biology 2019-06-19 Huilin Wei , Amirhossein Jafarian , Peter Zeidman , Vladimir Litvak , Adeel Razi , Dewen Hu , Karl J. Friston

Functional brain imaging allows measuring dynamic functionality in all brain regions. It is broadly used in clinical cognitive neuroscience as, well as in research. It will allow the observation of neural activities in the brain…

Medical Physics · Physics 2016-04-01 Saman Sarraf , Jian Sun

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…

Brain function is organized in coordinated modes of spatio-temporal activity (functional networks) exhibiting an intrinsic baseline structure with variations under different experimental conditions. Existing approaches for uncovering such…

Methodology · Statistics 2019-02-13 Joshua Lukemire , Suprateek Kundu , Giuseppe Pagnoni , Ying Guo

We propose a Bayesian framework for uncertainty quantification and comparison in brain connectivity graph analysis. Standard graph-based approaches typically rely on point estimates of correlation matrices, overlooking the uncertainty…

Methodology · Statistics 2026-05-29 Alice Chevaux , Julyan Arbel , Guillaume Kon Kam King , Sophie Achard

This technical note presents a framework for investigating the underlying mechanisms of neurovascular coupling in the human brain using multi-modal magnetoencephalography (MEG) and functional magnetic resonance (fMRI) neuroimaging data.…

Quantitative Methods · Quantitative Biology 2019-03-19 Amirhossein Jafarian , Vladimir Litvak , Hayriye Cagnan , Karl J. Friston , Peter Zeidman

Multimodal neuroimaging modeling has becomes a widely used approach but confronts considerable challenges due to heterogeneity, which encompasses variability in data types, scales, and formats across modalities. This variability…

Neurons and Cognition · Quantitative Biology 2025-04-15 Gang Qu , Ziyu Zhou , Vince D. Calhoun , Aiying Zhang , Yu-Ping Wang

Representation of brain network interactions is fundamental to the translation of neural structure to brain function. As such, methodologies for mapping neural interactions into structural models, i.e., inference of functional connectome…

Neurons and Cognition · Quantitative Biology 2022-03-18 Rahul Biswas , Eli Shlizerman

The problem of jointly analysing functional connectomics and behavioral data is extremely challenging owing to the complex interactions between the two domains. In addition, clinical rs-fMRI studies often have to contend with limited…

Machine Learning · Computer Science 2023-01-18 Niharika Shimona D'Souza

Image data are increasingly encountered and are of growing importance in many areas of science. Much of these data are quantitative image data, which are characterized by intensities that represent some measurement of interest in the…

Functional connectivity (FC) refers to the investigation of interactions between brain regions to understand integration of neural activity in several regions. FC is often estimated using functional magnetic resonance images (fMRI). There…

Applications · Statistics 2023-01-24 Nathan Tung , Jerome Sanes , Eli Upfal , Ani Eloyan

Spontaneous brain activity, as observed in functional neuroimaging, has been shown to display reproducible structure that expresses brain architecture and carries markers of brain pathologies. An important view of modern neuroscience is…

Machine Learning · Statistics 2010-11-15 Gaël Varoquaux , Alexandre Gramfort , Jean Baptiste Poline , Bertrand Thirion

Inference of brain functional connectivity networks from resting-state fMRI data is a key focus in neuroimaging. This paper introduces new Bayesian approaches for inferring a functional connectivity graph from multivariate resting-state…

Canonical Correlation Analysis (CCA) and its regularised versions have been widely used in the neuroimaging community to uncover multivariate associations between two data modalities (e.g., brain imaging and behaviour). However, these…

Machine Learning · Statistics 2021-03-12 Fabio S. Ferreira , Agoston Mihalik , Rick A. Adams , John Ashburner , Janaina Mourao-Miranda

Recent studies in neuroscience highlight the significant potential of brain connectivity networks, which are commonly constructed from functional magnetic resonance imaging (fMRI) data for brain disorder diagnosis. Traditional brain…

We develop a Bayesian bivariate spatial model for multivariate regression analysis applicable to studies examining the influence of genetic variation on brain structure. Our model is motivated by an imaging genetics study of the Alzheimer's…

Methodology · Statistics 2020-05-26 Yin Song , Shufei Ge , Jiguo Cao , Liangliang Wang , Farouk S. Nathoo

In neuroscience, functional brain connectivity describes the connectivity between brain regions that share functional properties. Neuroscientists often characterize it by a time series of covariance matrices between functional measurements…

Methodology · Statistics 2019-07-09 Zhenhua Lin , Dehan Kong , Qiang Sun