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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

Implementations of spiking neural networks on neuromorphic hardware promise orders of magnitude less power consumption than their non-spiking counterparts. The standard neuron model for spike-based computation on such systems has long been…

Neural and Evolutionary Computing · Computer Science 2025-07-11 Maximilian Baronig , Romain Ferrand , Silvester Sabathiel , Robert Legenstein

Spiking Neural Networks (SNNs) have gained increasing attention as energy-efficient neural networks owing to their binary and asynchronous computation. However, their non-linear activation, that is Leaky-Integrate-and-Fire (LIF) neuron,…

Neural and Evolutionary Computing · Computer Science 2023-05-31 Youngeun Kim , Yuhang Li , Abhishek Moitra , Ruokai Yin , Priyadarshini Panda

Several experimental studies show the existence of leader neurons in population bursts of 2D living neural networks. A leader neuron is, basically, a neuron which fires at the beginning of a burst (respectively network spike) more often…

Biological Physics · Physics 2010-04-19 Cyrille Zbinden

This work reports a transfer function-based approach to characterizing the operation of single neuronal cells in terms of the instantaneous frequency of the input and output signals. We adopt the leaky integrate-and-fire model. The transfer…

Neurons and Cognition · Quantitative Biology 2019-10-23 Felipe L. Gewers , Luciano da F. Costa

Neuromorphic computing aims to replicate the brain's remarkable energy efficiency and parallel processing capabilities for large-scale artificial intelligence applications. In this work, we present a comprehensive comparative study of three…

Neural and Evolutionary Computing · Computer Science 2025-05-08 Logan Larsh , Raiyan Siddique , Sarah Sharif Yaser Mike Banad

We present an array of leaky integrate-and-fire (LIF) neuron circuits designed for the second-generation BrainScaleS mixed-signal 65-nm CMOS neuromorphic hardware. The neuronal array is embedded in the analog network core of a scaled-down…

Neurons and Cognition · Quantitative Biology 2019-03-28 Syed Ahmed Aamir , Yannik Stradmann , Paul Müller , Christian Pehle , Andreas Hartel , Andreas Grübl , Johannes Schemmel , Karlheinz Meier

The effect of a temporally correlated afferent current on the firing rate of a leaky integrate-and-fire (LIF) neuron is studied. This current is characterized in terms of rates, auto and cross-correlations, and correlation time scale…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. Moreno , J. de la Rocha , A. Renart , N. Parga

We studied the impact of a dynamical threshold on the f-I curve-the relationship between the input and the firing rate of a neuron-in the presence of background synaptic inputs. First, we found that, while the leaky integrate-and-fire model…

Neurons and Cognition · Quantitative Biology 2009-11-13 Ryota Kobayashi

We train spiking deep networks using leaky integrate-and-fire (LIF) neurons, and achieve state-of-the-art results for spiking networks on the CIFAR-10 and MNIST datasets. This demonstrates that biologically-plausible spiking LIF neurons can…

Machine Learning · Computer Science 2015-10-30 Eric Hunsberger , Chris Eliasmith

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

A recent study on the effect of colored driving noise on the escape from a metastable state derives an analytic expression of the transfer function of the leaky integrate-and-fire neuron model subject to colored noise. Here we present an…

Neurons and Cognition · Quantitative Biology 2015-10-14 Jannis Schuecker , Markus Diesmann , Moritz Helias

To investigate the complex dynamics of a biological neuron that is subject to small random perturbations we can use stochastic neuron models. While many techniques have already been developed to study properties of such models, especially…

Neurons and Cognition · Quantitative Biology 2017-07-18 Jan H. Kirchner

The identification of sensory cues associated with potential opportunities and dangers is frequently complicated by unrelated events that separate useful cues by long delays. As a result, it remains a challenging task for state-of-the-art…

Neural and Evolutionary Computing · Computer Science 2023-07-17 Shimin Zhang , Qu Yang , Chenxiang Ma , Jibin Wu , Haizhou Li , Kay Chen Tan

Brain-inspired neuromorphic computing is a promising path towards next generation analogue computers that are fundamentally different compared to the conventional von Neumann architecture. One model for neuromorphic computing that can mimic…

Disordered Systems and Neural Networks · Physics 2023-08-22 Verena Brehm , Johannes W. Austefjord , Serban Lepadatu , Alireza Qaiumzadeh

We propose another integrate-and-fire model as a single neuron model. We study a globally coupled noisy integrate-and-fire model with inhibitory interaction using the Fokker-Planck equation and the Langevin equation, and find a reentrant…

Neurons and Cognition · Quantitative Biology 2009-11-11 H. Sakaguchi , S. Tobiishi

The Network of Noisy Leaky Integrate and Fire (NNLIF) model describes the behavior of a neural network at mesoscopic level. It is one of the simplest self-contained mean-field models considered for that purpose. Even so, to study the…

Analysis of PDEs · Mathematics 2017-06-15 María J. Cáceres , Ricarda Schneider

In this paper we characterize the distribution of the first exit time from an arbitrary open set for a class of semi-Markov processes obtained as time-changed Markov processes. We estimate the asymptotic behaviour of the survival function…

Probability · Mathematics 2019-03-05 Giacomo Ascione , Enrica Pirozzi , Bruno Toaldo

Neurons in the brain continuously process the barrage of sensory inputs they receive from the environment. A wide array of experimental work has shown that the collective activity of neural populations encodes and processes this constant…

Neurons and Cognition · Quantitative Biology 2025-10-30 Siddharth Paliwal , Gabriel Koch Ocker , Braden A. W. Brinkman

The Spiking Neural Network (SNN) has drawn increasing attention for its energy-efficient, event-driven processing and biological plausibility. To train SNNs via backpropagation, surrogate gradients are used to approximate the…

Neural and Evolutionary Computing · Computer Science 2025-05-16 Kai Sun , Peibo Duan , Levin Kuhlmann , Beilun Wang , Bin Zhang