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We use methods from computational algebraic topology to study functional brain networks, in which nodes represent brain regions and weighted edges encode the similarity of fMRI time series from each region. With these tools, which allow one…

Quantitative Methods · Quantitative Biology 2020-08-27 Bernadette J. Stolz , Tegan Emerson , Satu Nahkuri , Mason A. Porter , Heather A. Harrington

We present a novel topological framework for analyzing functional brain signals using time-frequency analysis. By integrating persistent homology with time-frequency representations, we capture multi-scale topological features that…

Neurons and Cognition · Quantitative Biology 2025-04-23 Moo K. Chung , Aaron F. Struck

Mild cognitive impairment (MCI) is characterized by subtle changes in cognitive functions, often associated with disruptions in brain connectivity. The present study introduces a novel fine-grained analysis to examine topological…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Ninad Aithal , Debanjali Bhattacharya , Neelam Sinha , Thomas Gregor Issac

With the wide adoption of functional magnetic resonance imaging (fMRI) by cognitive neuroscience researchers, large volumes of brain imaging data have been accumulated in recent years. Aggregating these data to derive scientific insights…

Applications · Statistics 2020-06-01 Ming Bo Cai , Michael Shvartsman , Anqi Wu , Hejia Zhang , Xia Zhu

We propose a method that combines signals from many brain regions observed in functional Magnetic Resonance Imaging (fMRI) to predict the subject's behavior during a scanning session. Such predictions suffer from the huge number of brain…

Computer Vision and Pattern Recognition · Computer Science 2011-04-29 Vincent Michel , Alexandre Gramfort , Gaël Varoquaux , Evelyn Eger , Christine Keribin , Bertrand Thirion

In neuroimaging, extensive post-processing of resting-state functional MRI (rfMRI) data is necessary for its application and investigation in relation to brain-behavior associations. Such post-processing is used to derive brain…

Computational Geometry · Computer Science 2025-09-11 Ty Easley , Kevin Freese , Elizabeth Munch , Janine Bijsterbosch

Functional magnetic resonance imaging (fMRI) produces data about activity inside the brain, from which spatial maps can be extracted by independent component analysis (ICA). In datasets, there are n spatial maps that contain p voxels. The…

Computational Engineering, Finance, and Science · Computer Science 2016-11-17 Tuomo Sipola , Fengyu Cong , Tapani Ristaniemi , Vinoo Alluri , Petri Toiviainen , Elvira Brattico , Asoke K. Nandi

Functional magnetic resonance imaging (fMRI) is a neuroimaging technique that records neural activations in the brain by capturing the blood oxygen level in different regions based on the task performed by a subject. Given fMRI data, the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Ashish Jaiswal , Ashwin Ramesh Babu , Mohammad Zaki Zadeh , Fillia Makedon , Glenn Wylie

Topological data analysis provides a set of tools to uncover low-dimensional structure in noisy point clouds. Prominent amongst the tools is persistence homology, which summarizes birth-death times of homological features using data objects…

Methodology · Statistics 2024-02-05 James Matuk , Sebastian Kurtek , Karthik Bharath

Persistence diagrams concisely represent the topology of a point cloud whilst having strong theoretical guarantees, but the question of how to best integrate this information into machine learning workflows remains open. In this paper we…

Machine Learning · Computer Science 2021-02-16 Thomas Davies , Jack Aspinall , Bryan Wilder , Long Tran-Thanh

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…

The human brain can be conceptualized as a dynamical system. Utilizing resting state fMRI time series imaging, we can study the underlying dynamics at ear-marked Regions of Interest (ROIs) to understand structure or lack thereof. This…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Ninad Aithal , Chakka Sai Pradeep , Neelam Sinha

In this work, we present an additive model for space-time data that splits the data into a temporally correlated component and a spatially correlated component. We model the spatially correlated portion using a time-varying Gaussian…

Methodology · Statistics 2017-11-13 Kristjan Greenewald , Seyoung Park , Shuheng Zhou , Alexander Giessing

This study proposes a new approach that investigates differences in topological characteristics of visual networks, which are constructed using fMRI BOLD time-series corresponding to visual datasets of COCO, ImageNet, and SUN. A publicly…

Image and Video Processing · Electrical Eng. & Systems 2025-10-29 Debanjali Bhattacharya , Neelam Sinha , Yashwanth R. , Amit Chattopadhyay

Functional Magnetic Resonance Imaging (fMRI) data is a widely used kind of four-dimensional biomedical data, which requires effective compression. However, fMRI compressing poses unique challenges due to its intricate temporal dynamics, low…

Image and Video Processing · Electrical Eng. & Systems 2024-03-01 Ruoran Li , Runzhao Yang , Wenxin Xiang , Yuxiao Cheng , Tingxiong Xiao , Jinli Suo

Functional MRI (fMRI) is widely used to examine brain functionality by detecting alteration in oxygenated blood flow that arises with brain activity. This work aims to investigate the neurological variation of human brain responses during…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Naveen Kanigiri , Manohar Suggula , Debanjali Bhattacharya , Neelam Sinha

This paper presents a new clustering algorithm for space-time data based on the concepts of topological data analysis and in particular, persistent homology. Employing persistent homology - a flexible mathematical tool from algebraic…

Machine Learning · Statistics 2019-10-28 Umar Islambekov , Yulia Gel

Purpose: Functional Magnetic Resonance Imaging (fMRI) data acquired through resting-state studies have been used to obtain information about the spontaneous activations inside the brain. One of the approaches for analysis and interpretation…

Image and Video Processing · Electrical Eng. & Systems 2022-02-24 Harshit Parmar , Brian Nutter , Rodney Long , Sameer Antani , Sunanda Mitra

Human brains exhibit highly organized multiscale neurophysiological dynamics. Understanding those dynamic changes and the neuronal networks involved is critical for understanding how the brain functions in health and disease. Functional…

Neurons and Cognition · Quantitative Biology 2024-09-09 Manuel Morante , Kristian Frølich , Naveed ur Rehman

Brain regions are often topographically connected: nearby locations within one brain area connect with nearby locations in another area. Mapping these connection topographies, or 'connectopies' in short, is crucial for understanding how…

Quantitative Methods · Quantitative Biology 2017-07-18 Koen V. Haak , Andre F. Marquand , Christian F. Beckmann
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