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Neural network dynamics emerge from the interaction of spiking cells. One way to formulate the problem is through a theoretical framework inspired by ideas coming from statistical physics, the so-called mean-field theory. In this document,…

Analysis of PDEs · Mathematics 2020-11-11 Grégory Dumont , Pierre Gabriel

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

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

In this paper, we propose a shot noise-based leaky integrated and firing neuron model and provide a detailed analysis of the performance of this model compared to the traditional diffusion approximated model. In theoretical neuroscience,…

Neurons and Cognition · Quantitative Biology 2018-07-05 Zihao Xu

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

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

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

Networks in the brain consist of different types of neurons. Here we investigate the influence of neuron diversity on the dynamics, phase space structure and computational capabilities of spiking neural networks. We find that already a…

Neurons and Cognition · Quantitative Biology 2019-10-09 Paul Manz , Sven Goedeke , Raoul-Martin Memmesheimer

Spiking neural networks (SNNs) with leaky integrate and fire (LIF) neurons, can be operated in an event-driven manner and have internal states to retain information over time, providing opportunities for energy-efficient neuromorphic…

Neural and Evolutionary Computing · Computer Science 2021-09-07 Wachirawit Ponghiran , Kaushik Roy

Spiking Neural Networks (SNNs) have been studied over decades to incorporate their biological plausibility and leverage their promising energy efficiency. Throughout existing SNNs, the leaky integrate-and-fire (LIF) model is commonly…

Neural and Evolutionary Computing · Computer Science 2023-02-14 Xingting Yao , Fanrong Li , Zitao Mo , Jian Cheng

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

We investigate a recently proposed model for cortical computation which performs relational inference. It consists of several interconnected, structurally equivalent populations of leaky integrate-and-fire (LIF) neurons, which are trained…

Neural and Evolutionary Computing · Computer Science 2017-03-21 Johannes Thiele , Peter Diehl , Matthew Cook

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

Spiking Neural Networks (SNNs) use discrete spike sequences to transmit information, which significantly mimics the information transmission of the brain. Although this binarized form of representation dramatically enhances the energy…

Neural and Evolutionary Computing · Computer Science 2023-01-31 Guobin Shen , Dongcheng Zhao , Yi Zeng

Artificial neural networks (ANNs) have been extensively used for the description of problems arising from biological systems and for constructing neuromorphic computing models. The third generation of ANNs, namely, spiking neural networks…

Neurons and Cognition · Quantitative Biology 2022-06-18 Thi Kim Thoa Thieu , Roderick Melnik

Deep Neural Networks (DNNs) are the current state-of-the-art models in many speech related tasks. There is a growing interest, though, for more biologically realistic, hardware friendly and energy efficient models, named Spiking Neural…

Machine Learning · Computer Science 2020-11-16 Thomas Pellegrini , Romain Zimmer , Timothée Masquelier

Leaky-integrate-and-fire (LIF) is studied as a non-linear operator that maps an integrable signal $f$ to a sequence $\eta_f$ of discrete events, the spikes. In the case without any Dirac pulses in the input, it makes no difference whether…

Neural and Evolutionary Computing · Computer Science 2024-02-14 Bernhard A. Moser , Michael Lunglmayr

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

We compute the firing rate of a leaky integrate-and-fire (LIF) neuron with stochastic conductance-based inputs in the limit when synaptic decay times are much shorter than the membrane time constant. A comparison of our analytical results…

Neurons and Cognition · Quantitative Biology 2020-02-27 Timothy D. Oleskiw , Wyeth Bair , Eric Shea-Brown , Nicolas Brunel

The computation performed by a neuron can be formulated as a combination of dimensional reduction in stimulus space and the nonlinearity inherent in a spiking output. White noise stimulus and reverse correlation (the spike-triggered average…

Biological Physics · Physics 2007-05-23 Blaise Aguera y Arcas , Adrienne Fairhall