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Spike correlations between neurons are ubiquitous in the cortex, but their role is at present not understood. Here we describe the firing response of a leaky integrate-and-fire neuron (LIF) when it receives a temporarily correlated input…

Neurons and Cognition · Quantitative Biology 2007-10-15 Ruben Moreno-Bote , Alfonso Renart , Nestor Parga

A rigorous understanding of brain dynamics and function requires a conceptual bridge between multiple levels of organization, including neural spiking and network-level population activity. Mounting evidence suggests that neural networks of…

Neurons and Cognition · Quantitative Biology 2016-10-11 Yahya Karimipanah , Zhengyu Ma , Ralf Wessel

Community detection in networks is one of the most popular topics of modern network science. Communities, or clusters, are usually groups of vertices having higher probability of being connected to each other than to members of other…

Physics and Society · Physics 2016-11-04 Santo Fortunato , Darko Hric

We address the problem of identifying functional interactions among stochastic neurons with variable-length memory from their spiking activity. The neuronal network is modeled by a stochastic system of interacting point processes with…

Applications · Statistics 2025-07-01 Ricardo F. Ferreira , Matheus E. Pacola , Vitor G. Schiavone , Rodrigo F. O. Pena

Elements of neural networks, both biological and artificial, can be described by their selectivity for specific cognitive features. Understanding these features is important for understanding the inner workings of neural networks. For a…

Neural and Evolutionary Computing · Computer Science 2026-04-28 Nikita Pospelov , Andrei Chertkov , Maxim Beketov , Ivan Oseledets , Konstantin Anokhin

Although recent neurophysiological experiments suggest that synchronous neural activity is involved in some perceptual and cognitive processes, the functional role of such coherent neuronal behavior is not well understood. As a first step…

Neurons and Cognition · Quantitative Biology 2007-05-23 Takaaki Aoki , Toshio Aoyagi

To understand the formation, evolution, and function of complex systems, it is crucial to understand the internal organization of their interaction networks. Partly due to the impossibility of visualizing large complex networks, resolving…

Physics and Society · Physics 2011-11-30 Takashi Nishikawa , Adilson E. Motter

We consider an alternate definition of community structure that is functionally motivated. We define network community structure-based on the function the network system is intended to perform. In particular, as a specific example of this…

Physics and Society · Physics 2015-03-13 Sanjeev Chauhan , Michelle Girvan , Edward Ott

Complex real-world networks commonly reveal characteristic groups of nodes like communities and modules. These are of value in various applications, especially in the case of large social and information networks. However, while numerous…

Social and Information Networks · Computer Science 2013-12-30 Lovro Šubelj , Marko Bajec

A computer model is described which is used to assess the dynamical complexity of a class of networks of spiking neurons with small-world properties. Networks are constructed by forming an initially segregated set of highly intra-connected…

Biological Physics · Physics 2009-11-13 Murray Shanahan

Recent advances in experimental techniques have allowed the simultaneous recording of populations of hundreds of neurons, allowing more comprehensive investigation into the nature of the collective structure of population neural activity.…

Neurons and Cognition · Quantitative Biology 2018-02-07 Mark L. Ioffe , Michael J. Berry

We investigate numerically the collective dynamical behavior of pulse-coupled non-leaky integrate-and-fire-neurons that are arranged on a two-dimensional small-world network. To ensure ongoing activity, we impose a probability for…

Computational Physics · Physics 2012-02-15 Alexander Rothkegel , Klaus Lehnertz

Computational models of cortical activity provide insight into the mechanisms of higher-order processing in the human brain including planning, perception and the control of movement. Activity in the cortex is ongoing even in the absence of…

Neurons and Cognition · Quantitative Biology 2023-07-07 Lysea Haggie , Thor Besier , Angus McMorland

Recent experimental advances are producing an avalanche of data on both neural connectivity and neural activity. To take full advantage of these two emerging datasets we need a framework that links them, revealing how collective neural…

Neurons and Cognition · Quantitative Biology 2020-02-27 Gabriel Koch Ocker , Krešimir Josić , Eric Shea-Brown , Michael A. Buice

We study how to detect groups in a complex network each of which consists of component nodes sharing a similar connection pattern. Based on the mixture models and the exploratory analysis set up by Newman and Leicht (Newman and Leicht 2007…

Data Analysis, Statistics and Probability · Physics 2008-12-17 J. Wang , C. -H. Lai

Detecting and evaluating regions of brain under various circumstances is one of the most interesting topics in computational neuroscience. However, the majority of the studies on detecting communities of a functional connectivity network of…

Social and Information Networks · Computer Science 2018-06-04 Keivan Hassani Monfared , Kris Vasudevan , Jordan S. Farrell , G. Campbell Teskey

The characterization of coordinated activity in neuronal populations has received renewed interest in the light of advancing experimental techniques which allow recordings from multiple units simultaneously. Across both in vitro and in vivo…

Neurons and Cognition · Quantitative Biology 2015-06-16 Feraz Azhar , William S. Anderson

The activity of a neural network is defined by patterns of spiking and silence from the individual neurons. Because spikes are (relatively) sparse, patterns of activity with increasing numbers of spikes are less probable, but with more…

Neurons and Cognition · Quantitative Biology 2025-02-13 Gasper Tkacik , Thierry Mora , Olivier Marre , Dario Amodei , Michael J. Berry , William Bialek

Deep learning has recently led to great successes in tasks such as image recognition (e.g Krizhevsky et al., 2012). However, deep networks are still outmatched by the power and versatility of the brain, perhaps in part due to the richer…

Machine Learning · Statistics 2014-03-25 David P. Reichert , Thomas Serre

Networks built to model real world phenomena are characeterised by some properties that have attracted the attention of the scientific community: (i) they are organised according to community structure and (ii) their structure evolves with…

Social and Information Networks · Computer Science 2019-09-04 Giulio Rossetti , Rémy Cazabet
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