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In spiking neural networks (SNN), at each node, an incoming sequence of weighted Dirac pulses is converted into an output sequence of weighted Dirac pulses by a leaky-integrate-and-fire (LIF) neuron model based on spike aggregation and…

Neural and Evolutionary Computing · Computer Science 2024-02-09 Bernhard A. Moser , Michael Lunglmayr

Leaky integrate-and-fire (LIF) networks are standard reduced models for spike-based neural dynamics and a natural substrate for neuromorphic computation. We study time-driven Euler--Maruyama simulation of current-based LIF networks with…

Numerical Analysis · Mathematics 2026-04-02 Xu'an Dou , Frank Chen , Kevin K Lin , Zhuo-Cheng Xiao

The leaky integrate and fire (LIF) neuron represents standard neuronal model used for numerical simulations. The leakage is implemented in the model as exponential decay of trans-membrane voltage towards its resting value. This makes…

Neurons and Cognition · Quantitative Biology 2015-05-26 A. K. Vidybida

Leaky integrate-and-fire (LIF) encoding is a model of neuron transfer function in biology that has recently attracted the attention of the signal processing and neuromorphic computing communities as a technique of event-based sampling for…

Signal Processing · Electrical Eng. & Systems 2023-05-17 Nguyen T. Thao , Dominik Rzepka , Marek Miśkowicz

The efficiency of the human brain in performing classification tasks has attracted considerable research interest in brain-inspired neuromorphic computing. Hardware implementations of a neuromorphic system aims to mimic the computations in…

Neural and Evolutionary Computing · Computer Science 2017-04-26 Akhilesh Jaiswal , Sourjya Roy , Gopalakrishnan Srinivasan , Kaushik Roy

Integrate-and-fire is a resource efficient time-encoding mechanism that summarizes into a signed spike train those time intervals where a signal's charge exceeds a certain threshold. We analyze the IF encoder in terms of a very general…

Functional Analysis · Mathematics 2026-01-15 Diana Carbajal , José Luis Romero

Spiking neural networks (SNNs) based on Leaky Integrate and Fire (LIF) model have been applied to energy-efficient temporal and spatiotemporal processing tasks. Thanks to the bio-plausible neuronal dynamics and simplicity, LIF-SNN benefits…

Machine Learning · Computer Science 2022-03-04 Zhenzhi Wu , Hehui Zhang , Yihan Lin , Guoqi Li , Meng Wang , Ye Tang

Spiking neural networks (SNNs) are promising brain-inspired energy-efficient models. Compared to conventional deep Artificial Neural Networks (ANNs), SNNs exhibit superior efficiency and capability to process temporal information. However,…

Neural and Evolutionary Computing · Computer Science 2025-02-20 Yulong Huang , Xiaopeng Lin , Hongwei Ren , Haotian Fu , Yue Zhou , Zunchang Liu , Biao Pan , Bojun Cheng

Processing sensor data with spiking neural networks on digital neuromorphic chips requires converting continuous analog signals into spike pulses. Two strategies are promising for achieving low energy consumption and fast processing speeds…

Emerging Technologies · Computer Science 2023-10-04 Javier Lopez-Randulfe , Nico Reeb , Alois Knoll

Spiking Neural Networks (SNNs) are valued for their ability to process spatio-temporal information efficiently, offering biological plausibility, low energy consumption, and compatibility with neuromorphic hardware. However, the commonly…

Neural and Evolutionary Computing · Computer Science 2025-02-18 Tianqing Zhang , Kairong Yu , Jian Zhang , Hongwei Wang

The adaptive leaky integrate-and-fire (ALIF) model is fundamental within computational neuroscience and has been instrumental in studying our brains $\textit{in silico}$. Due to the sequential nature of simulating these neural models, a…

Neural and Evolutionary Computing · Computer Science 2023-11-21 Luke Taylor , Andrew J King , Nicol S Harper

Stochastic integrate-and-fire (IF) neuron models have found widespread applications in computational neuroscience. Here we present results on the white-noise-driven perfect, leaky, and quadratic IF models, focusing on the spectral…

Neurons and Cognition · Quantitative Biology 2015-05-14 Rafael D. Vilela , Benjamin Lindner

We describe a method to train spiking deep networks that can be run using leaky integrate-and-fire (LIF) neurons, achieving state-of-the-art results for spiking LIF networks on five datasets, including the large ImageNet ILSVRC-2012…

Neural and Evolutionary Computing · Computer Science 2016-11-17 Eric Hunsberger , Chris Eliasmith

Integrate-and-Fire (IF) is an idealized model of the spike-triggering mechanism of a biological neuron. It is used to realize the bio-inspired event-based principle of information processing in neuromorphic computing. We show that IF is…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Bernhard A. Moser , Anna Werzi , Michael Lunglmayr

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

An inverse procedure is proposed and tested which aims at recovering the a priori unknown functional and structural information from global signals of living brains activity. To this end we consider a Leaky-Integrate and Fire (LIF) model…

In contrast to the traditional principle of periodic sensing neuromorphic engineering pursues a paradigm shift towards bio-inspired event-based sensing, where events are primarily triggered by a change in the perceived stimulus. We show in…

Signal Processing · Electrical Eng. & Systems 2024-10-24 Bernhard A. Moser , Michael Lunglmayr

Spiking neural networks (SNNs) offer biologically inspired computation but remain underexplored for continuous regression tasks in scientific machine learning. In this work, we introduce and systematically evaluate Quadratic…

Neural and Evolutionary Computing · Computer Science 2025-11-11 Ruyin Wan , George Em Karniadakis , Panos Stinis

Accurate modeling of neuronal action potential (AP) onset timing is crucial for understanding neural coding of danger signals. Traditional leaky integrate-and-fire (LIF) models, while widely used, exhibit high relative error in predicting…

Neurons and Cognition · Quantitative Biology 2025-10-06 Stevens Johnson , Varun Puram , Johnson Thomas , Acsah Konuparamban , Ashwin Kannan

In order to ease the analysis of error propagation in neuromorphic computing and to get a better understanding of spiking neural networks (SNN), we address the problem of mathematical analysis of SNNs as endomorphisms that map spike trains…

Neural and Evolutionary Computing · Computer Science 2024-02-09 Bernhard A. Moser , Michael Lunglmayr
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