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Whether, when, and how causal interactions between neurons can be meaningfully studied from observations of neural activity alone are vital questions in neural data analysis. Here we aim to better outline the concept of functional…

Neurons and Cognition · Quantitative Biology 2023-12-05 Ian H. Stevenson

Large networks of sparsely coupled, excitatory and inhibitory cells occur throughout the brain. A striking feature of these networks is that they are chaotic. How does this chaos manifest in the neural code? Specifically, how variable are…

Neurons and Cognition · Quantitative Biology 2014-02-25 Guillaume Lajoie , Jean-Philippe Thivierge , Eric Shea-Brown

The study of functional connectivity from magnetoecenphalographic (MEG) data consists in quantifying the statistical dependencies among time series describing the activity of different neural sources from the magnetic field recorded outside…

Numerical Analysis · Mathematics 2020-12-01 Elisabetta Vallarino , Michele Piana , Alberto Sorrentino , Sara Sommariva

Little is currently known about the coordination of neural activity over longitudinal time-scales and how these changes relate to behavior. To investigate this issue, we used resting-state fMRI data from a single individual to identify the…

Neurons and Cognition · Quantitative Biology 2017-05-30 James M. Shine , Oluwasanmi Koyejo , Russell A. Poldrack

The relative timing of action potentials in neurons recorded from local cortical networks often shows a non-trivial dependence, which is then quantified by cross-correlation functions. Theoretical models emphasize that such spike train…

Neurons and Cognition · Quantitative Biology 2017-06-28 Taskin Deniz , Stefan Rotter

In this viewpoint article, we discuss the electric properties of the medium around neurons, which are important to correctly interpret extracellular potentials or electric field effects in neural tissue. We focus on how these electric…

Neurons and Cognition · Quantitative Biology 2017-03-02 Claude Bedard , Jean-Marie Gomes , Thierry Bal , Alain Destexhe

Neural population activity often exhibits rich variability and temporal structure. This variability is thought to arise from single-neuron stochasticity, neural dynamics on short time-scales, as well as from modulations of neural firing…

Machine Learning · Statistics 2014-10-14 Mijung Park , Jakob H. Macke

Electroencephalography (EEG) signals' interpretation is based on waveform analysis, where meaningful information should emerge from a plethora of data. Nonetheless, the continuous increase in computational power and the development of new…

Neurons and Cognition · Quantitative Biology 2015-05-08 Rogerio Normand , Hugo Alexandre Ferreira

Analytical expressions are put forward to investigate the forced spiking activity of abstract neuron models such as the driven leaky integrate-and-fire (LIF) model. The method is valid in a wide parameter regime beyond the restraining…

Neurons and Cognition · Quantitative Biology 2007-05-23 Michael Schindler , Peter Talkner , Peter Hänggi

Encoding models enable measurement of how our brains represent sensory inputs using electro-and magneto-encephalography (MEEG). Evaluating how closely encoding models reflect the underlying brain functions is a crucial premise for model…

Neurons and Cognition · Quantitative Biology 2026-04-17 Giovanni M. Di Liberto

It has been repeatedly conjectured that the brain retrieves statistical regularities from stimuli. Here we present a new statistical approach allowing to address this conjecture. This approach is based on a new class of stochastic processes…

Neurons and Cognition · Quantitative Biology 2018-01-15 A. Duarte , R. Fraiman , A. Galves , G. Ost , C. Vargas

The brain is intrinsically organized into large-scale networks that constantly re-organize on multiple timescales, even when the brain is at rest. The timing of these dynamics is crucial for sensation, perception, cognition and ultimately…

Neurons and Cognition · Quantitative Biology 2019-03-14 Jennifer Creaser , Peter Ashwin , Claire Postlethwaite , Juliane Britz

Analysing correlations between streams of events is an important problem. It arises for example in Neurosciences, when the connectivity of neurons should be inferred from spike trains that record neurons' individual spiking activity. While…

Neurons and Cognition · Quantitative Biology 2021-08-11 Krempl , Georg , Kottke , Daniel , Pham Minh , Tuan

We analyse the electroencephalogram signals in the beta band of working memory representation recorded from young healthy volunteers performing several different Visual Short-Term Memory (VSTM) tasks which have proven useful in the…

Neurons and Cognition · Quantitative Biology 2016-04-11 Keith Smith , Hamed Azami , Mario A. Parra , Javier Escudero , John M. Starr

In this work the significance of treating a set of measurements as a time series is being explored. Time Series Analysis (TSA) techniques, part of the Exploratory Data Analysis (EDA) approach, can provide much insight regarding the…

Data Analysis, Statistics and Probability · Physics 2012-03-01 Dimitra Georgakaki , Chris Mitsas , Hariton Polatoglou

Unlike macroscopic multistable mechanical systems such as snap bracelets or elastic shells that must be physically manipulated into various conformations, microscopic systems can undergo spontaneous conformation switching between…

Statistical Mechanics · Physics 2013-08-29 Ee Hou Yong , L. Mahadevan

Music, being a multifaceted stimulus evolving at multiple timescales, modulates brain function in a manifold way that encompasses not only the distinct stages of auditory perception but also higher cognitive processes like memory and…

Neurons and Cognition · Quantitative Biology 2018-02-06 Dimitrios A. Adamos , Nikolaos Laskaris , Sifis Micheloyannis

It has been classically conjectured that the brain compresses data by assigning probabilistic models to sequences of stimuli. An important issue associated to this conjecture is what class of models is used by the brain to perform its…

Neurons and Cognition · Quantitative Biology 2020-08-26 F. A. Najman , A. Galves , C. D. Vargas

Multichannel electroencephalograms (EEGs) have been widely used to study cortical connectivity during acquisition of motor skills. In this paper, we introduce copula Gaussian graphical models on spectral domain to characterize dependence in…

Applications · Statistics 2018-10-09 Xu Gao , Weining Shen , Chee-Ming Ting , Steven C. Cramer , Ramesh Srinivasan , Hernando Ombao

Functional connectivity of cognitive tasks allows researchers to analyse the interaction mapping occurring between different regions of the brain using electroencephalography (EEG) signals. Standard practice in functional connectivity…

Human-Computer Interaction · Computer Science 2019-07-23 Saugat Bhattacharyya , Mitsuhiro Hayashibe