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Resting-state functional magnetic resonance imaging (rs-fMRI) can reflect spontaneous neural activities in brain and is widely used for brain disorder analysis.Previous studies propose to extract fMRI representations through diverse…

Quantitative Methods · Quantitative Biology 2023-06-27 Qianqian Wang , Wei Wang , Yuqi Fang , P. -T. Yap , Hongtu Zhu , Hong-Jun Li , Lishan Qiao , Mingxia Liu

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

\hspace{2mm} Diffusion-weighted magnetic resonance imaging (dMRI) of the brain offers unique capabilities including noninvasive probing of tissue microstructure and structural connectivity. It is widely used for clinical assessment of…

Image and Video Processing · Electrical Eng. & Systems 2025-12-30 Davood Karimi , Simon K. Warfield

Magnetic Resonance Imaging (MRI) suffers from several artifacts, the most common of which are motion artifacts. These artifacts often yield images that are of non-diagnostic quality. To detect such artifacts, images are prospectively…

Image and Video Processing · Electrical Eng. & Systems 2019-12-09 Jeffrey Ma , Ukash Nakarmi , Cedric Yue Sik Kin , Christopher Sandino , Joseph Y. Cheng , Ali B. Syed , Peter Wei , John M. Pauly , Shreyas Vasanawala

The Unconstrained Feature Model (UFM) is a mathematical framework that enables closed-form approximations for minimal training loss and related performance measures in deep neural networks (DNNs). This paper leverages the UFM to provide…

Machine Learning · Computer Science 2025-10-01 George Andriopoulos , Soyuj Jung Basnet , Juan Guevara , Li Guo , Keith Ross

Magnetic Resonance Imaging (MRI) is a pivotal clinical diagnostic tool, yet its extended scanning times often compromise patient comfort and image quality, especially in volumetric, temporal and quantitative scans. This review elucidates…

Functional magnetic resonance imaging (fMRI) data have become increasingly available and are useful for describing functional connectivity (FC), the relatedness of neuronal activity in regions of the brain. This FC of the brain provides…

Machine Learning · Statistics 2020-10-14 Andrew DiLernia , Karina Quevedo , Jazmin Camchong , Kelvin Lim , Wei Pan , Lin Zhang

Translational brain research using Magnetic Resonance Imaging (MRI) is becoming increasingly popular as animal models are an essential part of scientific studies and more ultra-high-field scanners are becoming available. Some disadvantages…

Image and Video Processing · Electrical Eng. & Systems 2022-01-05 André Ferreira , Ricardo Magalhães , Sébastien Mériaux , Victor Alves

Functional magnetic resonance imaging (fMRI) has provided invaluable insight into our understanding of human behavior. However, large inter-individual differences in both brain anatomy and functional localization after anatomical alignment…

Applications · Statistics 2021-11-03 Guoqing Wang , Abhirup Datta , Martin A. Lindquist

Functional MRI measuring BOLD signal is an increasingly important imaging modality in studying brain functions and neurological disorders. It can be acquired in either a resting-state or a task-based paradigm. Compared to resting-state…

Image and Video Processing · Electrical Eng. & Systems 2025-02-18 Jiyao Wang , Nicha C. Dvornek , Peiyu Duan , Lawrence H. Staib , James S. Duncan

We propose new parametric frameworks of regression analysis with the conditional mode of a bounded response as the focal point of interest. Covariate effects estimation and prediction based on the maximum likelihood method under two new…

Methodology · Statistics 2020-06-22 Haiming Zhou , Xianzheng Huang

Functional neuroimaging measures how the brain responds to complex stimuli. However, sample sizes are modest, noise is substantial, and stimuli are high dimensional. Hence, direct estimates are inherently imprecise and call for…

Applications · Statistics 2016-02-05 Leila Wehbe , Aaditya Ramdas , Rebecca C. Steorts , Cosma Rohilla Shalizi

Random feature ridge regression is often analyzed in the high-dimensional regime under the homogeneous sampling model $x_i=\Sigma^{1/2}x_i'$, where the vectors $x_i'$ have iid entries and the same covariance matrix $\Sigma$ is shared by all…

Machine Learning · Statistics 2026-05-19 Issa-Mbenard Dabo , Jérémie Bigot

Gaussian Graphical Models (GGM) are popularly used in neuroimaging studies based on fMRI, EEG or MEG to estimate functional connectivity, or relationships between remote brain regions. In multi-subject studies, scientists seek to identify…

Methodology · Statistics 2017-05-01 Manjari Narayan , Genevera I. Allen , Steffie Tomson

Functional magnetic resonance imaging (fMRI) functional connectivity between brain regions is often computed using parcellations defined by functional or structural atlases. Typically, some kind of voxel averaging is performed to obtain a…

Predicting behavioral variables from neuroimaging modalities such as magnetic resonance imaging (MRI) has the potential to allow the development of neuroimaging biomarkers of mental and neurological disorders. A crucial processing step to…

Neurons and Cognition · Quantitative Biology 2025-07-29 Mikkel Schöttner Sieler , Thomas A. W. Bolton , Jagruti Patel , Patric Hagmann

In symbolic regression, the search for analytic models is typically driven purely by the prediction error observed on the training data samples. However, when the data samples do not sufficiently cover the input space, the prediction error…

Machine Learning · Computer Science 2020-04-28 J. Kubalík , E. Derner , R. Babuška

Three types of regression models researchers need to be familiar with and know the requirements of each: parametric, semiparametric and nonparametric regression models. The type of modeling used is based on how much information are…

Methodology · Statistics 2019-06-26 Hamdy F. F. Mahmoud

Single-subject mapping of resting-state brain functional activity to non-imaging phenotypes is a major goal of neuroimaging. The large majority of learning approaches applied today rely either on static representations or on short-term…

Machine Learning · Computer Science 2022-08-09 Ahmed El-Gazzar , Rajat Mani Thomas , Guido Van Wingen

The general linear model (GLM) is a well established tool for analyzing functional magnetic resonance imaging (fMRI) data. Most fMRI analyses via GLM proceed in a massively univariate fashion where the same design matrix is used for…

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