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Spiking neural networks (SNNs) exhibit superior energy efficiency but suffer from limited performance. In this paper, we consider SNNs as ensembles of temporal subnetworks that share architectures and weights, and highlight a crucial issue…

Machine Learning · Computer Science 2025-02-21 Yongqi Ding , Lin Zuo , Mengmeng Jing , Pei He , Hanpu Deng

We investigate the effect of network architecture on burst and spike synchronization in a directed scale-free network (SFN) of bursting neurons, evolved via two independent $\alpha-$ and $\beta-$processes. The $\alpha-$process corresponds…

Neurons and Cognition · Quantitative Biology 2015-10-05 Sang-Yoon Kim , Woochang Lim

Elucidating the neurophysiological mechanisms underlying neural pattern formation remains an outstanding challenge in Computational Neuroscience. In this paper, we address the issue of understanding the emergence of neural patterns by…

Neurons and Cognition · Quantitative Biology 2024-06-04 Gregory Dumont , Carmen Oana Tarniceriu

We study a network of spiking neurons with heterogeneous excitabilities connected via inhibitory delayed pulses. For globally coupled systems the increase of the inhibitory coupling reduces the number of firing neurons by following a Winner…

Disordered Systems and Neural Networks · Physics 2019-05-29 Stefano Luccioli , David Angulo Garcia , Alessandro Torcini

A single neuron is known to generate almost identical spike trains when the same fluctuating input is repeatedly applied. Here, we study the reliability of spike firing in a pulse-coupled network of oscillator neurons receiving fluctuating…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Jun-nosuke Teramae , Tomoki Fukai

Spike time response curves (STRC's) are used to study the influence of synaptic stimuli on the firing times of a neuron oscillator without the assumption of weak coupling. They allow us to approximate the dynamics of synchronous state in…

Neurons and Cognition · Quantitative Biology 2013-04-24 Sachin S. Talathi , Dong-Uk Hwang , Abraham Miliotis , Paul R. Carney , William L. Ditto

A simple model that replicates the dynamics of spiking and spiking-bursting activity of real biological neurons is proposed. The model is a two-dimensional map which contains one fast and one slow variable. The mechanisms behind generation…

Chaotic Dynamics · Physics 2009-11-07 Nikolai F. Rulkov

We tackle a quantification of synchrony in a large ensemble of interacting neurons from the observation of spiking events. In a simulation study, we efficiently infer the synchrony level in a neuronal population from a point process…

Neurons and Cognition · Quantitative Biology 2025-03-25 Arkady Pikovsky , Michael Rosenblum

Synchronized oscillations in networks of inhibitory and excitatory coupled bursting neurons are common in a variety of neural systems from central pattern generators to human brain circuits. One example of the latter is the subcortical…

Neurons and Cognition · Quantitative Biology 2011-09-21 Choongseok Park , Leonid L. Rubchinsky

Using a realistic model of activity dependent dynamical synapses and a standard integrate and fire neuron model we study, both analytically and numerically, the conditions in which a postsynaptic neuron efficiently detects temporal…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jorge F. Mejias , Joaquin J. Torres

The collective dynamics of neural populations are often characterized in terms of correlations in the spike activity of different neurons. Open questions surround the basic nature of these correlations. In particular, what leads to…

Neurons and Cognition · Quantitative Biology 2013-06-25 David Leen , Eric Shea-Brown

How spiking networks are able to perform probabilistic inference is an intriguing question, not only for understanding information processing in the brain, but also for transferring these computational principles to neuromorphic silicon…

Neurons and Cognition · Quantitative Biology 2017-07-12 Mihai A. Petrovici , Anna Schroeder , Oliver Breitwieser , Andreas Grübl , Johannes Schemmel , Karlheinz Meier

Spiking activity of neurons engaged in learning and performing a task show complex spatiotemporal dynamics. While the output of recurrent network models can learn to perform various tasks, the possible range of recurrent dynamics that…

Neurons and Cognition · Quantitative Biology 2018-08-21 Christopher Kim , Carson Chow

Motifs are patterns of subgraphs of complex networks. We studied the impact of such patterns of connectivity on the level of correlated, or synchronized, spiking activity among pairs of cells in a recurrent network model of integrate and…

Neurons and Cognition · Quantitative Biology 2015-06-05 Yu Hu , James Trousdale , Kresimir Josic , Eric Shea-Brown

Many biological neuronal networks exhibit highly variable spiking activity. Balanced networks offer a parsimonious model of this variability. In balanced networks, strong excitatory synaptic inputs are canceled by strong inhibitory inputs…

Neurons and Cognition · Quantitative Biology 2016-05-04 Ryan Pyle , Robert Rosenbaum

Spontaneous formation of clusters of synchronized spiking in a structureless ensemble of equal stochastically perturbed excitable neurons with delayed coupling is demonstrated for the first time. The effect is a consequence of a subtle…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 Igor Franovic , Kristina Todorovic , Nebojsa Vasovic , Nikola Buric

The population activity of random networks of excitatory and inhibitory leaky integrate-and-fire (LIF) neurons has been studied extensively. In particular, a state of asynchronous activity with low firing rates and low pairwise correlations…

Neurons and Cognition · Quantitative Biology 2015-06-03 Volker Pernice , Benjamin Staude , Stefano Cardanobile , Stefan Rotter

Much progress has been made in uncovering the computational capabilities of spiking neural networks. However, spiking neurons will always be more expensive to simulate compared to rate neurons because of the inherent disparity in time…

Neurons and Cognition · Quantitative Biology 2013-10-31 Michael A. Buice , Carson C. Chow

In computer simulations of spiking neural networks, often it is assumed that every two neurons of the network are connected by a probability of 2\%, 20\% of neurons are inhibitory and 80\% are excitatory. These common values are based on…

Neurons and Cognition · Quantitative Biology 2015-03-06 Hamed Seyed-allaei

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