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Functional magnetic resonance imaging (fMRI) plays a crucial role in neuroimaging, enabling the exploration of brain activity through complex-valued signals. These signals, composed of magnitude and phase, offer a rich source of information…

Methodology · Statistics 2024-01-15 Zhengxin Wang , Daniel B. Rowe , Xinyi Li , D. Andrew Brown

Multivariate analysis of fMRI data has benefited substantially from advances in machine learning. Most recently, a range of probabilistic latent variable models applied to fMRI data have been successful in a variety of tasks, including…

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

Bayesian deep learning (BDL) provides a principled framework for reliable uncertainty quantification by combining deep neural networks with Bayesian inference. A central challenge in BDL lies in the design of informative prior distributions…

Machine Learning · Computer Science 2026-02-04 Pengcheng Hao , Huaze Tang , Ercan Engin Kuruoglu , Wenbo Ding

It is proposed in the literature that in some complicated problems maximum likelihood estimates (MLE) are not suitable or even do not exist. An alternative to MLE for estimation of the parameters is the Bayesian method. The Markov chain…

Applications · Statistics 2019-10-08 Ali Reza Fotouhi

Vessel dynamics simulation is vital in studying the relationship between geometry and vascular disease progression. Reliable dynamics simulation relies on high-quality vascular meshes. Most of the existing mesh generation methods highly…

Image and Video Processing · Electrical Eng. & Systems 2024-12-03 Dengqiang Jia , Xinnian Yang , Xiaosong Xiong , Shijie Huang , Feiyu Hou , Li Qin , Kaicong Sun , Kannie Wai Yan Chan , Dinggang Shen

Varying coefficient models (VCMs) are widely used for estimating nonlinear regression functions for functional data. Their Bayesian variants using Gaussian process priors on the functional coefficients, however, have received limited…

Methodology · Statistics 2022-03-01 Rajarshi Guhaniyogi , Cheng Li , Terrance D. Savitsky , Sanvesh Srivastava

The multilevel model (MLM) is the popular approach to describe dependences of hierarchically clustered observations. A main feature is the capability to estimate (cluster-specific) random effect parameters, while their distribution…

Methodology · Statistics 2021-06-21 Jean-Paul Fox , Wouter Smink

Functional magnetic resonance imaging (fMRI) data contain complex spatiotemporal dynamics, thus researchers have developed approaches that reduce the dimensionality of the signal while extracting relevant and interpretable dynamics. Models…

Computer Vision and Pattern Recognition · Computer Science 2022-05-30 Eloy Geenjaar , Amrit Kashyap , Noah Lewis , Robyn Miller , Vince Calhoun

We propose to apply non-linear representation learning to voxelwise rs-fMRI data. Learning the non-linear representations is done using a variational autoencoder (VAE). The VAE is trained on voxelwise rs-fMRI data and performs non-linear…

Computer Vision and Pattern Recognition · Computer Science 2021-08-31 Eloy Geenjaar , Tonya White , Vince Calhoun

In recent years, personalized recommendation technology has flourished and become one of the hot research directions. The matrix factorization model and the metric learning model which proposed successively have been widely studied and…

Information Retrieval · Computer Science 2024-03-06 YaoDan Zhang , Zidong Wang , Ru Jia , Ru Li

Currently, it is challenging to investigate aneurismal hemodynamics based on current in-vivo data such as Magnetic Resonance Imaging or Computed Tomography due to the limitations in both spatial and temporal resolutions. In this work, we…

Fluid Dynamics · Physics 2024-10-17 Thien-Tam Nguyen , Davina Kasperski , Phat Kim Huynh , Trung Quoc Le , Trung Bao Le

Functional Magnetic Resonance Imaging (fMRI) is an imaging technique widely used to study human brain activity. fMRI signals in areas across the brain transiently synchronise and desynchronise their activity in a highly structured manner,…

Machine Learning · Computer Science 2025-08-12 Yiran Huang , Amirhossein Nouranizadeh , Christine Ahrends , Mengjia Xu

Most radiotracers used in dynamic positron emission tomography (PET) scanning act in a linear time-invariant fashion so that the measured time-course data are a convolution between the time course of the tracer in the arterial supply and…

Task-based functional magnetic resonance imaging (task fMRI) is a non-invasive technique that allows identifying brain regions whose activity changes when individuals are asked to perform a given task. This contributes to the understanding…

Decision making can be a complex process requiring the integration of several attributes of choice options. Understanding the neural processes underlying (uncertain) investment decisions is an important topic in neuroeconomics. We analyzed…

Applications · Statistics 2025-01-08 Piotr Majer , Peter N. C. Mohr , Hauke R. Heekeren , Wolfgang K. Härdle

Most of the existing wavelet image processing techniques are carried out in the form of single-scale reconstruction and multiple iterations. However, processing high-quality fMRI data presents problems such as mixed noise and excessive…

Image and Video Processing · Electrical Eng. & Systems 2024-06-26 Lingxi Xiao , Jinxin Hu , Yutian Yang , Yinqiu Feng , Zichao Li , Zexi Chen

Dynamic functional connectivity (DFC) analysis involves measuring correlated neural activity over time across multiple brain regions. Significant regional correlations among neural signals, such as those obtained from resting-state…

Evidence accumulation models (EAMs) are an important class of cognitive models used to analyze both response time and response choice data recorded from decision-making tasks. Developments in estimation procedures have helped EAMs become…

Methodology · Statistics 2023-06-01 Viet Hung Dao , David Gunawan , Robert Kohn , Minh-Ngoc Tran , Guy E. Hawkins , Scott D. Brown

Detecting shared neural activity from functional magnetic resonance imaging (fMRI) across individuals exposed to the same stimulus can reveal synchronous brain responses, functional roles of regions, and potential clinical biomarkers.…

Applications · Statistics 2026-04-24 Spencer Wadsworth , Nabin Koirala , Nicole Landi , Ofer Harel
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