English
Related papers

Related papers: Persistent Homology for MCI Classification: A Comp…

200 papers

The timely identification of significant memory concern (SMC) is crucial for proactive cognitive health management, especially in an aging population. Detecting SMC early enables timely intervention and personalized care, potentially…

Machine Learning · Computer Science 2024-05-31 M. Sajid , Rahul Sharma , Iman Beheshti , M. Tanveer

This research underscores the efficacy of Fourier topological optimization in refining MRI imagery, thereby bolstering the classification precision of Alzheimer's Disease through convolutional neural networks. Recognizing that MRI scans are…

Image and Video Processing · Electrical Eng. & Systems 2023-10-27 Peiwen Tan

We analyze functional magnetic resonance imaging (fMRI) data from the Human Connectome Project (HCP) to match brain activities during a range of cognitive tasks. Our findings demonstrate that even basic linear machine learning models can…

Neurons and Cognition · Quantitative Biology 2025-10-08 Valeriya Kirova , Dzerassa Kadieva , Daniil Vlasenko , Isak B. Blank , Fedor Ratnikov

Objective. Standard Magnetic Resonance Imaging (MRI) reconstruction pipelines discard phase information captured during acquisition, despite evidence that it encodes tissue properties relevant to tumor diagnosis. Current machine learning…

Image and Video Processing · Electrical Eng. & Systems 2026-04-17 Marco Schlimbach , Moritz Rempe , Jessica Mnischek , Lukas T. Rotkopf , Jens Weingarten , Jens Kleesiek , Kevin Kröninger

Persistent homology of the Rips filtration allows to track topological features of a point cloud over scales, and is a foundational tool of topological data analysis. Unfortunately, the Rips-filtration is exponentially sized, when…

Computational Geometry · Computer Science 2018-07-27 Bernhard Brehm , Hanne Hardering

New representations of tree-structured data objects, using ideas from topological data analysis, enable improved statistical analyses of a population of brain artery trees. A number of representations of each data tree arise from…

Applications · Statistics 2014-11-26 Paul Bendich , J. S. Marron , Ezra Miller , Alex Pieloch , Sean Skwerer

Mild cognitive impairment(MCI) is a precursor of Alzheimer's disease(AD), and the detection of MCI is of great clinical significance. Analyzing the structural brain networks of patients is vital for the recognition of MCI. However, the…

Neurons and Cognition · Quantitative Biology 2022-08-19 Heng Kong , Shuqiang Wang

Higher-order properties of functional magnetic resonance imaging (fMRI) induced connectivity have been shown to unravel many exclusive topological and dynamical insights beyond pairwise interactions. Nonetheless, whether these fMRI-induced…

The distance function to a compact set plays a crucial role in the paradigm of topological data analysis. In particular, the sublevel sets of the distance function are used in the computation of persistent homology -- a backbone of the…

Statistics Theory · Mathematics 2025-03-31 Siddharth Vishwanath , Bharath K. Sriperumbudur , Kenji Fukumizu , Satoshi Kuriki

Analysis and quantification of brain structural changes, using Magnetic resonance imaging (MRI), are increasingly used to define novel biomarkers of brain pathologies, such as Alzheimer's disease (AD). Network-based models of the brain have…

Neurodegenerative diseases are frequently associated with structural changes in the brain. Magnetic Resonance Imaging (MRI) scans can show these variations and therefore be used as a supportive feature for a number of neurodegenerative…

The assessment of Alzheimer's Disease (AD) and Mild Cognitive Impairment (MCI) associated with brain changes remains a challenging task. Recent studies have demonstrated that combination of multi-modality imaging techniques can better…

Machine Learning · Computer Science 2022-09-26 Jun Yu , Zhaoming Kong , Liang Zhan , Li Shen , Lifang He

A brain-computer interface (BCI) is a system that aims for establishing a non-muscular communication path for subjects who had suffer from a neurodegenerative disease. Many BCI systems make use of the phenomena of event-related…

Computer Vision and Pattern Recognition · Computer Science 2016-12-28 Jaime Fernando Delgado Saa , Mujdat Cetin

Graph neural networks (GNNs) have been successfully applied to early mild cognitive impairment (EMCI) detection, with the usage of elaborately designed features constructed from blood oxygen level-dependent (BOLD) time series. However, few…

Machine Learning · Computer Science 2022-11-14 Yunpeng Zhao , Fugen Zhou , Bin Guo , Bo Liu

An increasingly important brain function analysis modality is functional connectivity analysis which regards connections as statistical codependency between the signals of different brain regions. Graph-based analysis of brain connectivity…

Signal Processing · Electrical Eng. & Systems 2024-01-08 Fengfan Zhao , Ercan Engin Kuruoglu

Delirium represents a significant clinical concern characterized by high morbidity and mortality rates, particularly in patients with mild cognitive impairment (MCI). This study investigates the associated risk factors for delirium by…

In this paper we develop a novel Topological Data Analysis (TDA) approach for studying graph representations of time series of dynamical systems. Specifically, we show how persistent homology, a tool from TDA, can be used to yield a…

Chaotic Dynamics · Physics 2020-01-28 Audun Myers , Elizabeth Munch , Firas A. Khasawneh

Objective: Multi-modal functional magnetic resonance imaging (fMRI) can be used to make predictions about individual behavioral and cognitive traits based on brain connectivity networks. Methods: To take advantage of complementary…

Machine Learning · Computer Science 2024-08-27 Gang Qu , Li Xiao , Wenxing Hu , Kun Zhang , Vince D. Calhoun , Yu-Ping Wang

We propose a framework for constructing combinatorial complexes (CCs) from fMRI time series data that captures both pairwise and higher-order neural interactions through information-theoretic measures, bridging topological deep learning and…

Neurons and Cognition · Quantitative Biology 2026-01-06 Valentina Sánchez , Çiçek Güven , Koen Haak , Theodore Papamarkou , Gonzalo Nápoles , Marie Šafář Postma

Significant progress has been made using fMRI to characterize the brain changes that occur in ASD, a complex neuro-developmental disorder. However, due to the high dimensionality and low signal-to-noise ratio of fMRI, embedding informative…

Image and Video Processing · Electrical Eng. & Systems 2019-08-15 Xiaoxiao Li , Nicha C. Dvornek , Juntang Zhuang , Pamela Ventola , James Duncan