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Functional connectivity (FC) refers to the investigation of interactions between brain regions to understand integration of neural activity in several regions. FC is often estimated using functional magnetic resonance images (fMRI). There…

Applications · Statistics 2023-01-24 Nathan Tung , Jerome Sanes , Eli Upfal , Ani Eloyan

Understanding the evolution of brain functional networks over time is of great significance for the analysis of cognitive mechanisms and the diagnosis of neurological diseases. Existing methods often have difficulty in capturing the…

Machine Learning · Computer Science 2025-10-30 Tianqi Guo , Liping Chen , Ciyuan Peng , Jingjing Zhou , Jing Ren

There is growing interest in understanding how the structural interconnections among brain regions change with the occurrence of neurological diseases. Diffusion weighted MRI imaging has allowed researchers to non-invasively estimate a…

Applications · Statistics 2015-10-20 Daniele Durante , Madelaine Daianu , Neda Jahanshad , Paul M. Thompson , David B. Dunson

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

Estimation of brain functional connectivity from EEG data is of great importance both for medical research and diagnosis. It involves quantifying the conditional dependencies among the activity of different brain areas from the time-varying…

Methodology · Statistics 2026-01-06 Alessia Mapelli , Laura Carini , Francesca Ieva , Sara Sommariva

Our goal in this paper is to leverage the potential of the topological signal processing (TSP) framework for analyzing brain networks. Representing brain data as signals over simplicial complexes allows us to capture higher-order…

Signal Processing · Electrical Eng. & Systems 2025-04-11 Breno C. Bispo , Stefania Sardellitti , Fernando A. N. Santos , Juliano B. Lima

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

Understanding the common topological characteristics of the human brain network across a population is central to understanding brain functions. The abstraction of human connectome as a graph has been pivotal in gaining insights on the…

Quantitative Methods · Quantitative Biology 2023-04-26 Soumya Das , D. Vijay Anand , Moo K. Chung

Intrinsic brain activity is characterized by highly structured co-activations between different regions, whose origin is still under debate. In this paper, we address the question whether it is possible to unveil how the underlying…

Simultaneous recordings from many neurons hide important information and the connections characterizing the network remain generally undiscovered despite the progresses of statistical and machine learning techniques. Discerning the presence…

Applications · Statistics 2019-03-21 Pietro Verzelli , Laura Sacerdote

Recently, there has been increased interest in fusing multimodal imaging to better understand brain organization. Specifically, accounting for knowledge of anatomical pathways connecting brain regions should lead to desirable outcomes such…

Applications · Statistics 2018-03-02 Ixavier A. Higgins , Suprateek Kundu , Ying Guo

We propose a topological framework to study the evolution of Alzheimer's disease, the most common neurodegenerative disease. The modeling of this disease starts with the representation of the brain connectivity as a graph and the seeding of…

Neurons and Cognition · Quantitative Biology 2023-09-20 Christian Goodbrake , David Beers , Travis B. Thompson , Heather A. Harrington , Alain Goriely

Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the underlying anatomical or structural network of synaptic connections. This latter is well…

Disordered Systems and Neural Networks · Physics 2021-02-11 Ali Safari , Paolo Moretti , Ibai Diez , Jesus M. Cortes , Miguel Ángel Muñoz

Understanding brain connectivity has become one of the most important issues in neuroscience. But connectivity data can reflect either the functional relationships of the brain activities or the anatomical properties between brain areas.…

Neurons and Cognition · Quantitative Biology 2015-04-13 Tiago Simas , Mario Chavez , Pablo Rodriguez , Albert Diaz-Guilera

Subtle alterations in brain network topology often evade detection by traditional statistical methods. To address this limitation, we introduce a Bayesian inference framework for topological comparison of brain networks that…

Methodology · Statistics 2025-11-06 Xukun Zhu , Michael W Lutz , Tananun Songdechakraiwut

At present, the vast majority of human subjects with neurological disease are still diagnosed through in-person assessments and qualitative analysis of patient data. In this paper, we propose to use Topological Data Analysis (TDA) together…

Machine Learning · Computer Science 2020-05-07 Afra Nawar , Farhan Rahman , Narayanan Krishnamurthi , Anirudh Som , Pavan Turaga

Depression is a major cause of global mental illness and significantly influences suicide rates. Timely and accurate diagnosis is essential for effective intervention. Electroencephalography (EEG) provides a non-invasive and accessible…

Signal Processing · Electrical Eng. & Systems 2025-11-11 Soujanya Hazra , Sanjay Ghosh

Dynamics on and of networks refer to changes in topology and node-associated signals, respectively and are pervasive in many socio-technological systems, including social, biological, and infrastructure networks. Due to practical…

Signal Processing · Electrical Eng. & Systems 2025-06-11 Bishwadeep Das , Andrei Buciulea , Antonio G. Marques , Elvin Isufi

Alzheimer's disease is the most common neurodegenerative disease. The aim of this study is to infer structural changes in brain connectivity resulting from disease progression using cortical thickness measurements from a cohort of…

There is increasing evidence to suggest functional connectivity networks are non-stationary. This has lead to the development of novel methodologies with which to accurately estimate time-varying functional connectivity networks. Many of…