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We propose two graph neural network layers for graphs with features in a Riemannian manifold. First, based on a manifold-valued graph diffusion equation, we construct a diffusion layer that can be applied to an arbitrary number of nodes and…

Machine Learning · Computer Science 2025-02-26 Martin Hanik , Gabriele Steidl , Christoph von Tycowicz

Functional MRI (fMRI) and diffusion MRI (dMRI) are non-invasive imaging modalities that allow in-vivo analysis of a patient's brain network (known as a connectome). Use of these technologies has enabled faster and better diagnoses and…

Machine Learning · Computer Science 2016-12-06 Colin J Brown , Ghassan Hamarneh

The correlation matrix is a central representation of functional brain networks in neuroimaging. Traditional analyses often treat pairwise interactions independently in a Euclidean setting, overlooking the intrinsic geometry of correlation…

Machine Learning · Statistics 2025-04-10 Kisung You , Yelim Lee , Hae-Jeong Park

Correlations in the signal observed via functional Magnetic Resonance Imaging (fMRI), are expected to reveal the interactions in the underlying neural populations through hemodynamic response. In particular, they highlight distributed set…

Applications · Statistics 2012-02-07 Gaël Varoquaux , Alexandre Gramfort , Jean Baptiste Poline , Bertrand Thirion

Functional magnetic resonance imaging (fMRI) is a notoriously noisy measurement of brain activity because of the large variations between individuals, signals marred by environmental differences during collection, and spatiotemporal…

Recently, state-of-the-art results have been achieved in semantic segmentation using fully convolutional networks (FCNs). Most of these networks employ encoder-decoder style architecture similar to U-Net and are trained with images and the…

Computer Vision and Pattern Recognition · Computer Science 2019-01-28 Balamurali Murugesan , Kaushik Sarveswaran , Sharath M Shankaranarayana , Keerthi Ram , Mohanasankar Sivaprakasam

Functional magnetic resonance imaging (fMRI) has been commonly used to construct functional connectivity networks (FCNs) of the human brain. TFCNs are primarily limited to quantifying pairwise relationships between ROIs ignoring higher…

Signal Processing · Electrical Eng. & Systems 2025-07-15 Duc Vu , Selin Aviyente

Visualizing the perceptual content by analyzing human functional magnetic resonance imaging (fMRI) has been an active research area. However, due to its high dimensionality, complex dimensional structure, and small number of samples…

Computer Vision and Pattern Recognition · Computer Science 2019-01-27 Yunfeng Lin , Jiangbei Li , Hanjing Wang

The Blood-Oxygen-Level-Dependent (BOLD) signal of resting-state fMRI (rs-fMRI) records the temporal dynamics of intrinsic functional networks in the brain. However, existing deep learning methods applied to rs-fMRI either neglect the…

Machine Learning · Computer Science 2021-06-30 Soham Gadgil , Qingyu Zhao , Adolf Pfefferbaum , Edith V. Sullivan , Ehsan Adeli , Kilian M. Pohl

In this study we focus on the problem of joint learning of multiple differential networks with function Magnetic Resonance Imaging (fMRI) data sets from multiple research centers. As the research centers may use different scanners and…

Methodology · Statistics 2021-06-08 Hao Chen , Ying Guo , Yong He , Dong Liu , Lei Liu , Xiao-Hua Zhou

Fast and accurate reconstruction of magnetic resonance (MR) images from under-sampled data is important in many clinical applications. In recent years, deep learning-based methods have been shown to produce superior performance on MR image…

Image and Video Processing · Electrical Eng. & Systems 2021-03-12 Pengfei Guo , Puyang Wang , Jinyuan Zhou , Shanshan Jiang , Vishal M. Patel

While functional magnetic resonance imaging (fMRI) offers valuable insights into brain activity, it is limited by high operational costs and significant infrastructural demands. In contrast, electroencephalography (EEG) provides…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Kristofer Grover Roos , Atsushi Fukuda , Quan Huu Cap

Graph neural networks (GNN) have emerged as a popular tool for modelling functional magnetic resonance imaging (fMRI) datasets. Many recent studies have reported significant improvements in disorder classification performance via more…

Machine Learning · Computer Science 2026-04-27 Yi Hao Chan , Deepank Girish , Sukrit Gupta , Jing Xia , Chockalingam Kasi , Yinan He , Conghao Wang , Jagath C. Rajapakse

Task-specific functional MRI (fMRI) images provide excellent modalities for studying the neuronal basis of cognitive processes. We use fMRI data to formulate and solve the problem of deconvolving task-specific aggregate neuronal networks…

Neurons and Cognition · Quantitative Biology 2024-07-04 Yifan Wang , Vikram Ravindra , Ananth Grama

The viscosity of the suspension consisting of fine particles dispersed in a Newtonian liquid diverges close to the jamming packing fraction. The contact microstructure in suspensions governs this macroscopic behavior in the vicinity of…

Soft Condensed Matter · Physics 2025-02-28 Armin Aminimajd , Joao Maia , Abhinendra Singh

The problem of linking functional connectomics to behavior is extremely challenging due to the complex interactions between the two distinct, but related, data domains. We propose a coupled manifold optimization framework which projects…

Machine Learning · Computer Science 2020-07-07 Niharika Shimona D'Souza , Mary Beth Nebel , Nicholas Wymbs , Stewart Mostofsky , Archana Venkataraman

Functional magnetic resonance (fMRI) is an invaluable tool in studying cognitive processes in vivo. Many recent studies use functional connectivity (FC), partial correlation connectivity (PC), or fMRI-derived brain networks to predict…

Neurons and Cognition · Quantitative Biology 2023-08-04 Anton Orlichenko , Gang Qu , Kuan-Jui Su , Anqi Liu , Hui Shen , Hong-Wen Deng , Yu-Ping Wang

Deep learning usually requires large amounts of labeled training data, but annotating data is costly and tedious. The framework of semi-supervised learning provides the means to use both labeled data and arbitrary amounts of unlabeled data…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Christoph Baur , Shadi Albarqouni , Nassir Navab

We present a computational framework for analysis and visualization of non-linear functional connectivity in the human brain from resting state functional MRI (fMRI) data for purposes of recovering the underlying network community structure…

Neural and Evolutionary Computing · Computer Science 2014-07-16 Axel Wismüller , Xixi Wang , Adora M. DSouza , Mahesh B. Nagarajan

For neurological disorders and diseases, functional and anatomical connectomes of the human brain can be used to better inform targeted interventions and treatment strategies. Functional magnetic resonance imaging (fMRI) is a non-invasive…

Methodology · Statistics 2023-07-03 Matt Ryan , Gary Glonek , Jono Tuke , Melissa Humphries