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Functional connections in the brain are frequently represented by weighted networks, with nodes representing locations in the brain, and edges representing the strength of connectivity between these locations. One challenge in analyzing…

Applications · Statistics 2022-09-28 Yura Kim , Daniel Kessler , Elizaveta Levina

A central question in neuroscience is how self-organizing dynamic interactions in the brain emerge on their relatively static structural backbone. Due to the complexity of spatial and temporal dependencies between different brain areas,…

Neurons and Cognition · Quantitative Biology 2020-10-15 Simon Wein , Wilhelm Malloni , Ana Maria Tomé , Sebastian M. Frank , Gina-Isabelle Henze , Stefan Wüst , Mark W. Greenlee , Elmar W. Lang

Networks of randomly connected neurons are among the most popular models in theoretical neuroscience. The connectivity between neurons in the cortex is however not fully random, the simplest and most prominent deviation from randomness…

Neurons and Cognition · Quantitative Biology 2018-07-09 Daniel Martí , Nicolas Brunel , Srdjan Ostojic

In recent years, the rapid advancement of large language models (LLMs) in natural language processing has sparked significant interest among researchers to understand their mechanisms and functional characteristics. Although prior studies…

Neurons and Cognition · Quantitative Biology 2026-01-08 Yiheng Liu , Zhengliang Liu , Zihao Wu , Junhao Ning , Haiyang Sun , Sichen Xia , Yang Yang , Xiaohui Gao , Ning Qiang , Bao Ge , Tianming Liu , Junwei Han , Xintao Hu

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

We consider exploratory methods for the discovery of cortical functional connectivity. Typically, data for the i-th subject (i=1...NS) is represented as an NVxNT matrix Xi, corresponding to brain activity sampled at NT moments in time from…

Methodology · Statistics 2011-03-17 Roberto D. Pascual-Marqui , Rolando J. Biscay-Lirio

Cellular neural circuit and networks consisting of interconnected neurons and glia are ulti- mately responsible for the information processing associated with information processing in the brain. While there are major efforts aimed at…

Neurons and Cognition · Quantitative Biology 2015-05-18 Marius Buibas , Gabriel A. Silva

The human brain has long inspired the pursuit of artificial intelligence (AI). Recently, neuroimaging studies provide compelling evidence of alignment between the computational representation of artificial neural networks (ANNs) and the…

Neurons and Cognition · Quantitative Biology 2024-11-01 Haiyang Sun , Lin Zhao , Zihao Wu , Xiaohui Gao , Yutao Hu , Mengfei Zuo , Wei Zhang , Junwei Han , Tianming Liu , Xintao Hu

The correlated variability in the responses of a neural population to the repeated presentation of a sensory stimulus is a universally observed phenomenon. Such correlations have been studied in much detail, both with respect to their…

Neurons and Cognition · Quantitative Biology 2018-07-04 Volker Pernice , Rava Azeredo da Silveira

Neurons in the visual cortex are correlated in their variability. The presence of correlation impacts cortical processing because noise cannot be averaged out over many neurons. In an effort to understand the functional purpose of…

Machine Learning · Computer Science 2018-04-04 Shamak Dutta , Bryan Tripp , Graham Taylor

Activity in the human brain moves between diverse functional states to meet the demands of our dynamic environment, but fundamental principles guiding these transitions remain poorly understood. Here, we capitalize on recent advances in…

Understanding the neurobiology of opioid use disorder (OUD) using resting-state functional magnetic resonance imaging (rs-fMRI) may help inform treatment strategies to improve patient outcomes. Recent literature suggests time-frequency…

Neurons and Cognition · Quantitative Biology 2025-03-12 Ahmed Temtam , Megan A. Witherow , Liangsuo Ma , M. Shibly Sadique , F. Gerard Moeller , Khan M. Iftekharuddin

Novel experimental techniques reveal the simultaneous activity of larger and larger numbers of neurons. As a result there is increasing interest in the structure of cooperative -- or correlated -- activity in neural populations, and in the…

Neurons and Cognition · Quantitative Biology 2015-05-30 James Trousdale , Yu Hu , Eric Shea-Brown , Krešimir Josić

We propose a data-driven approach to represent neuronal network dynamics as a Probabilistic Graphical Model (PGM). Our approach learns the PGM structure by employing dimension reduction to network response dynamics evoked by stimuli applied…

Neurons and Cognition · Quantitative Biology 2017-11-02 Hexuan Liu , Jimin Kim , Eli Shlizerman

Resting-state functional magnetic resonance imaging (rs-fMRI)-derived functional connectivity patterns have been extensively utilized to delineate global functional organization of the human brain in health, development, and…

Quantitative Methods · Quantitative Biology 2020-10-02 Li Xiao , Biao Cai , Gang Qu , Julia M. Stephen , Tony W. Wilson , Vince D. Calhoun , Yu-Ping Wang

Large efforts are currently under way to systematically map functional connectivity between all pairs of millimeter-scale brain regions using big volumes of neuroimaging data. Functional magnetic resonance imaging (fMRI) can produce these…

Neurons and Cognition · Quantitative Biology 2014-09-24 Enzo Tagliazucchi , Helmut Laufs , Dante R. Chialvo

Today the human brain can be modeled as a graph where nodes represent different regions and links stand for statistical interactions between their activities as recorded by different neuroimaging techniques. Empirical studies have lead to…

Neurons and Cognition · Quantitative Biology 2017-11-01 J. H. Martínez , J. M. Buldú , D. Papo , F. De Vico Fallani , M. Chavez

Recurrent neural networks (RNNs) are widely used throughout neuroscience as models of local neural activity. Many properties of single RNNs are well characterized theoretically, but experimental neuroscience has moved in the direction of…

Machine Learning · Computer Science 2023-01-31 Leo Kozachkov , Michaela Ennis , Jean-Jacques Slotine

Human brain dynamics can be profitably viewed through the lens of statistical mechanics, where neurophysiological activity evolves around and between local attractors representing preferred mental states. Many physically-inspired models of…

Neurons and Cognition · Quantitative Biology 2016-09-06 Arian Ashourvan , Shi Gu , Marcelo G. Mattar , Jean M. Vettel , Danielle S. Bassett

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…

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