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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…

Methodology · Statistics 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert

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

Functional MRI (fMRI) has become the most common method for investigating the human brain. However, fMRI data present some complications for statistical analysis and modeling. One recently developed approach to these data focuses on…

Applications · Statistics 2015-03-19 Vincent Q. Vu , Pradeep Ravikumar , Thomas Naselaris , Kendrick N. Kay , Jack L. Gallant , Bin Yu

Contemporary neuroscience has embraced network science to study the complex and self-organized structure of the human brain; one of the main outstanding issues is that of inferring from measure data, chiefly functional Magnetic Resonance…

Optimization and Control · Mathematics 2017-03-31 Giulia Prando , Mattia Zorzi , Alessandra Bertoldo , Alessandro Chiuso

Resting-state functional MRI (rs-fMRI) is a rich imaging modality that captures spontaneous brain activity patterns, revealing clues about the connectomic organization of the human brain. While many rs-fMRI studies have focused on static…

Machine Learning · Computer Science 2019-08-20 Meenakshi Khosla , Keith Jamison , Amy Kuceyeski , Mert R. Sabuncu

Many fMRI analyses examine functional connectivity, or statistical dependencies among remote brain regions. Yet popular methods for studying whole-brain functional connectivity often yield results that are difficult to interpret. Factor…

Methodology · Statistics 2024-09-24 Kyle Stanley , Nicole Lazar , Matthew Reimherr

This paper considers a novel problem, bi-level graphical modeling, in which multiple individual graphical models can be considered as variants of a common group-level graphical model and inference of both the group- and individual-level…

Methodology · Statistics 2021-08-12 Lin Zhang , Andrew DiLernia , Karina Quevedo , Jazmin Camchong , Kelvin Lim , Wei Pan1

This article is motivated by studying multisensory effects on brain activities in intracranial electroencephalography (iEEG) experiments. Differential brain activities to multisensory stimulus presentations are zero in most regions and…

Methodology · Statistics 2022-06-01 Zhengjia Wang , John Magnotti , Michael S. Beauchamp , Meng Li

Decoding human brain activities via functional magnetic resonance imaging (fMRI) has gained increasing attention in recent years. While encouraging results have been reported in brain states classification tasks, reconstructing the details…

Artificial Intelligence · Computer Science 2017-07-12 Changde Du , Changying Du , Huiguang He

Dynamic functional connectivity (FC) has in recent years become a topic of interest in the neuroimaging community. Several models and methods exist for both functional magnetic resonance imaging (fMRI) and electroencephalography (EEG), and…

fMRI is a non-invasive technique for investigating brain activity, offering high-resolution insights into neural processes. Understanding and decoding cognitive brain states from fMRI depends on how functional interactions are represented.…

Neurons and Cognition · Quantitative Biology 2026-02-23 Daniil Vlasenko , Vadim Ushakov , Alexey Zaikin , Denis Zakharov

Capturing dynamic spatiotemporal neural activity is essential for understanding large-scale brain mechanisms. Functional magnetic resonance imaging (fMRI) provides high-resolution cortical representations that form a strong basis for…

Image and Video Processing · Electrical Eng. & Systems 2026-04-01 Wanying Qu , Jianxiong Gao , Wei Wang , Yanwei Fu

A major tenet in theoretical neuroscience is that cognitive and behavioral processes are ultimately implemented in terms of the neural system dynamics. Accordingly, a major aim for the analysis of neurophysiological measurements should lie…

Machine Learning · Computer Science 2020-07-01 Georgia Koppe , Hazem Toutounji , Peter Kirsch , Stefanie Lis , Daniel Durstewitz

Neuroimaging data allows researchers to model the relationship between multivariate patterns of brain activity and outcomes related to mental states and behaviors. However, the existence of outlying participants can potentially undermine…

Methodology · Statistics 2026-03-17 Dongliang Zhang , Masoud Asgharian , Martin A. Lindquist

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

Multivariate machine learning methods are increasingly used to analyze neuroimaging data, often replacing more traditional "mass univariate" techniques that fit data one voxel at a time. In the functional magnetic resonance imaging (fMRI)…

Applications · Statistics 2015-03-19 Logan Grosenick , Brad Klingenberg , Kiefer Katovich , Brian Knutson , Jonathan E. Taylor

Functional magnetic resonance imaging (fMRI) provides an indirect measurement of neuronal activity via hemodynamic responses that vary across brain regions and individuals. Ignoring this hemodynamic variability can bias downstream…

Image and Video Processing · Electrical Eng. & Systems 2026-01-26 William Consagra , Eardi Lila

Functional magnetic resonance imaging (fMRI) data is characterized by its complexity and high--dimensionality, encompassing signals from various regions of interests (ROIs) that exhibit intricate correlations. Analyzing fMRI data directly…

Applications · Statistics 2024-01-18 Yeseul Jeon , Jeong-Jae Kim , SuMin Yu , Junggu Choi , Sanghoon Han

Functional magnetic resonance imaging (fMRI) time series are known to exhibit long-range temporal dependencies that challenge traditional modeling approaches. In this study, we propose a novel computational pipeline to characterize and…

Applications · Statistics 2025-08-19 Yasaman Shahhosseini , Cédric Beaulac , Farouk S. Nathoo , Michelle F. Miranda

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…

Neurons and Cognition · Quantitative Biology 2014-12-15 Alexandre Abraham , Elvis Dohmatob , Bertrand Thirion , Dimitris Samaras , Gael Varoquaux