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A central challenge in the computational modeling of neural dynamics is the trade-off between accuracy and simplicity. At the level of individual neurons, nonlinear dynamics are both experimentally established and essential for neuronal…

Investigating temporal variability of functional connectivity is an emerging field in connectomics. Entering dynamic functional connectivity by applying sliding window techniques on resting-state fMRI (rs-fMRI) time courses emerged from…

Neurons and Cognition · Quantitative Biology 2015-11-04 Markus Goldhacker , Ana Maria Tomé , Mark W. Greenlee , Elmar W. Lang

Functional brain networks can change rapidly as a function of stimuli or cognitive shifts. Tracking dynamic functional connectivity is particularly challenging as it requires estimating the structure of the network at each moment as well as…

Methodology · Statistics 2024-04-30 Wan-Chi Hsin , Uri T. Eden , Emily P. Stephen

This paper studies change-points in human brain functional connectivity (FC) and seeks patterns that are common across multiple subjects under identical external stimulus. FC relates to the similarity of fMRI responses across different…

Neurons and Cognition · Quantitative Biology 2020-03-05 Mengyu Dai , Zhengwu Zhang , Anuj Srivastava

Functional connectivity (FC) analysis of resting-state fMRI data provides a framework for characterizing brain networks and their association with participant-level covariates. Due to the high dimensionality of neuroimaging data, standard…

Methodology · Statistics 2025-08-18 Wei Zhao , Brian J. Reich , Emily C. Hector

Dynamic functional connectivity is an effective measure for the brain's responses to continuous stimuli. We propose an inferential method to detect the dynamic changes of brain networks based on time-varying graphical models. Whereas most…

Applications · Statistics 2020-06-23 Dingjue Ji , Junwei Lu , Yiliang Zhang , Hongyu Zhao , Siyuan Gao

Stochastic dynamics on sparse graphs and disordered systems often lead to complex behaviors characterized by heterogeneity in time and spatial scales, slow relaxation, localization, and aging phenomena. The mathematical tools and…

Disordered Systems and Neural Networks · Physics 2025-06-05 Mattia Tarabolo , Luca Dall'Asta

With our ability to record more neurons simultaneously, making sense of these data is a challenge. Functional connectivity is one popular way to study the relationship between multiple neural signals. Correlation-based methods are a set of…

Neurons and Cognition · Quantitative Biology 2017-06-09 Tiger W. Lin , Anup Das , Giri P. Krishnan , Maxim Bazhenov , Terrence J. Sejnowski

Dynamic Causal Modelling (DCM) is the predominant method for inferring effective connectivity from neuroimaging data. In the 15 years since its introduction, the neural models and statistical routines in DCM have developed in parallel,…

Quantitative Methods · Quantitative Biology 2019-07-15 Peter Zeidman , Amirhossein Jafarian , Nadège Corbin , Mohamed L. Seghier , Adeel Razi , Cathy J. Price , Karl J. Friston

Deep neural networks enable real-time monitoring of in-vehicle drivers, facilitating the timely prediction of distractions, fatigue, and potential hazards. This technology is now integral to intelligent transportation systems. Recent…

Computer Vision and Pattern Recognition · Computer Science 2025-01-06 Cong Duan , Zixuan Liu , Jiahao Xia , Minghai Zhang , Jiacai Liao , Libo Cao

We study functional activity in the human brain using functional Magnetic Resonance Imaging and recently developed tools from network science. The data arise from the performance of a simple behavioural motor learning task. Unsupervised…

Effective connectivity analysis in functional magnetic resonance imaging (fMRI) studies directional interactions among brain regions and experimental stimuli. Dynamic causal modeling (DCM) is a widely used method to estimate effective…

Methodology · Statistics 2026-05-15 Kaitlyn R. Fales , Hyebin Song , Nicole A. Lazar

Connectivity matrices derived from diffusion MRI (dMRI) provide an interpretable and generalizable way of understanding the human brain connectome. However, dMRI suffers from inter-site and between-scanner variation, which impedes analysis…

Smoothed analysis is a framework suggested for mediating gaps between worst-case and average-case complexities. In a recent work, Dinitz et al.~[Distributed Computing, 2018] suggested to use smoothed analysis in order to study dynamic…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-29 Uri Meir , Ami Paz , Gregory Schwartzman

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

Experimental fMRI studies have shown that spontaneous brain activity i.e. in the absence of any external input, exhibit complex spatial and temporal patterns of co-activity between segregated brain regions. These so-called large-scale…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Vesna Vuksanović , Philipp Hövel

Many fMRI analyses examine functional connectivity, or statistical dependencies among remote brain regions. Yet popular methods for studying whole-brain functional connectivity often yield results that are difficult to interpret. Factor…

Methodology · Statistics 2024-09-24 Kyle Stanley , Nicole Lazar , Matthew Reimherr

Dynamic graph clustering aims to detect and track time-varying clusters in dynamic graphs, revealing the evolutionary mechanisms of complex real-world dynamic systems. Matrix factorization-based methods are promising approaches for this…

Machine Learning · Computer Science 2025-02-11 Dongyuan Li , Satoshi Kosugi , Ying Zhang , Manabu Okumura , Feng Xia , Renhe Jiang

Many analyses of functional magnetic resonance imaging (fMRI) examine functional connectivity (FC), or the statistical dependencies among distant brain regions. These analyses are typically exploratory, guiding future confirmatory research.…

Applications · Statistics 2025-10-20 Kyle Stanley , Nicole Lazar , Matthew Reimherr

Global brain activity self-organizes into discrete patterns characterized by distinct behavioral observables and modes of information processing. The human thalamocortical system is a densely connected network where local neural activation…