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We perform time series analysis of small networks where every node is the slow-fast version of the denatured Morris--Lecar neuron proposed by Schaeffer and Cain. We choose popular coupling strategies from the literature and provide a…

Chaotic Dynamics · Physics 2025-07-21 Indranil Ghosh , Hammed O. Fatoyinbo , Sishu S. Muni

In this paper we present a numerical study of a mathematical model of spiking neurons introduced by Ferrari et al. in an article entitled Phase transition forinfinite systems of spiking neurons. In this model we have a countable number of…

Neural and Evolutionary Computing · Computer Science 2019-11-11 Cecilia Romaro , Fernando Araujo Najman , Morgan André

Spiking neural network is a type of artificial neural network in which neurons communicate between each other with spikes. Spikes are identical Boolean events characterized by the time of their arrival. A spiking neuron has internal…

Neural and Evolutionary Computing · Computer Science 2016-02-16 Oleg Y. Sinyavskiy

Identifying patterns of relations among the units of a complex system from measurements of their activities in time is a fundamental problem with many practical applications. Here, we introduce a method that detects dependencies of any…

Physics and Society · Physics 2026-03-09 Andrea Civilini , Fabrizio de Vico Fallani , Vito Latora

The coding properties of cells with different types of receptive fields have been studied for decades. ON-type neurons fire in response to positive fluctuations of the time-dependent stimulus, whereas OFF cells are driven by negative…

Neurons and Cognition · Quantitative Biology 2009-09-10 Eugenio Urdapilleta , Ines Samengo

Repeating patterns of spike sequences from a neuronal network have been proposed to be useful in the reconstruction of the network topology. Reverberations in a physiologically realistic model with various physical connection topologies…

Neurons and Cognition · Quantitative Biology 2014-07-15 Hao Song , Chun-Chung Chen , Jyh-Jang Sun , Pik-Yin Lai , C. K. Chan

Spiking transformers have shown strong potential for neuromorphic vision, yet their token processing across multiple spiking steps still introduces substantial redundancy and inference cost. Existing token reduction methods mainly rely on…

Machine Learning · Computer Science 2026-05-12 Wenxuan Liu , Zecheng Hao , Tong Bu , Yuran Wang , Zhaofei Yu

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

This article presents a mini-review about the progress in inferring monosynaptic connections from spike trains of multiple neurons over the past twenty years. First, we explain a variety of meanings of ``neuronal connectivity'' in different…

Neurons and Cognition · Quantitative Biology 2024-03-19 Ryota Kobayashi , Shigeru Shinomoto

Background: Current neuronal monitoring techniques, such as calcium imaging and multi-electrode arrays, enable recordings of spiking activity from hundreds of neurons simultaneously. Of primary importance in systems neuroscience is the…

Neurons and Cognition · Quantitative Biology 2014-11-11 Yazan N. Billeh , Michael T. Schaub , Costas A. Anastassiou , Mauricio Barahona , Christof Koch

We study noisy calcium imaging data, with a focus on the classification of spike traces. As raw traces obscure the true temporal structure of neuron's activity, we performed a tuned filtering of the calcium concentration using two methods:…

Neurons and Cognition · Quantitative Biology 2024-09-17 Arianna Burzacchi , Nicoletta D'Angelo , David Payares-Garcia , Jorge Mateu

Studying neural connectivity is considered one of the most promising and challenging areas of modern neuroscience. The underpinnings of cognition are hidden in the way neurons interact with each other. However, our experimental methods of…

Machine Learning · Statistics 2018-06-22 George Panagopoulos

Fueled in part by recent applications in neuroscience, the multivariate Hawkes process has become a popular tool for modeling the network of interactions among high-dimensional point process data. While evaluating the uncertainty of the…

Machine Learning · Statistics 2020-07-16 Xu Wang , Mladen Kolar , Ali Shojaie

In this paper we present a novel approach to automatically infer parameters of spiking neural networks. Neurons are modelled as timed automata waiting for inputs on a number of different channels (synapses), for a given amount of time (the…

Neurons and Cognition · Quantitative Biology 2018-08-07 Elisabetta De Maria , Cinzia Di Giusto , Laetitia Laversa

Identifying causal relationships is a challenging yet crucial problem in many fields of science like epidemiology, climatology, ecology, genomics, economics and neuroscience, to mention only a few. Recent studies have demonstrated that…

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

Understanding the sequence of cognitive operations that underlie decision-making is a fundamental challenge in cognitive neuroscience. Traditional approaches often rely on group-level statistics, which obscure trial-by-trial variations in…

Neurons and Cognition · Quantitative Biology 2025-04-15 Rick den Otter , Gabriel Weindel , Sjoerd Stuit , Leendert van Maanen

A fundamental problem in neuroscience is to characterize the dynamics of spiking from the neurons in a circuit that is involved in learning about a stimulus or a contingency. A key limitation of current methods to analyze neural spiking…

Methodology · Statistics 2017-09-29 Yingzhuo Zhang , Noa Malem-Shinitski , Stephen A Allsop , Kay Tye , Demba Ba

The ability to predict future events or patterns based on previous experience is crucial for many applications such as traffic control, weather forecasting, or supply chain management. While modern supervised Machine Learning approaches…

Neurons and Cognition · Quantitative Biology 2024-10-16 Florian Feiler , Emre Neftci , Younes Bouhadjar

`Bursting', defined as periods of high frequency firing of a neuron separated by periods of quiescence, has been observed in various neuronal systems, both \textit{in vitro} and \textit{in vivo}. It has been associated with a range of…

Neurons and Cognition · Quantitative Biology 2018-06-20 E. Cotterill , S. J. Eglen